%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW355+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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:08:15 EDT 2024 % Result : Theorem 183.16s 183.17s % Output : CNFRefutation 183.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : SWW355+1 : TPTP v8.2.0. Released v5.2.0. % 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n028.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jun 19 04:26:54 EDT 2024 % 0.13/0.35 % CPUTime : % 0.58/0.64 start to proof:theBenchmark % 182.67/183.00 %------------------------------------------- % 182.67/183.00 % File :CSE---1.7 % 182.67/183.00 % Problem :theBenchmark % 182.67/183.00 % Transform :cnf % 182.67/183.00 % Format :tptp:raw % 182.67/183.00 % Command :java -jar mcs_scs.jar %d %s % 182.67/183.00 % 182.67/183.00 % Result :Theorem 163.840000s % 182.67/183.00 % Output :CNFRefutation 163.840000s % 182.67/183.00 %------------------------------------------- % 182.67/183.01 %------------------------------------------------------------------------------ % 182.67/183.01 % File : SWW355+1 : TPTP v8.2.0. Released v5.2.0. % 182.67/183.01 % Domain : Software Verification % 182.67/183.01 % Problem : Hoare's Logic with Procedures 435356, 5000 axioms selected % 182.67/183.01 % Version : Especial. % 182.67/183.01 % English : % 182.67/183.01 % 182.67/183.01 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 182.67/183.01 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 182.67/183.01 % Source : [Bla11] % 182.67/183.01 % Names : hoare_435356.5000.p [Bla11] % 182.67/183.01 % 182.67/183.01 % Status : ContradictoryAxioms % 182.67/183.01 % Rating : 0.83 v8.2.0, 0.78 v8.1.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 182.67/183.01 % Syntax : Number of formulae : 5245 (1741 unt; 0 def) % 182.67/183.01 % Number of atoms : 12602 (4547 equ) % 182.67/183.01 % Maximal formula atoms : 13 ( 2 avg) % 182.67/183.01 % Number of connectives : 8365 (1008 ~; 155 |; 721 &) % 182.67/183.01 % ( 892 <=>;5589 =>; 0 <=; 0 <~>) % 182.67/183.01 % Maximal formula depth : 22 ( 6 avg) % 182.67/183.01 % Maximal term depth : 19 ( 2 avg) % 182.67/183.01 % Number of predicates : 144 ( 143 usr; 1 prp; 0-6 aty) % 182.67/183.01 % Number of functors : 388 ( 388 usr; 53 con; 0-7 aty) % 182.67/183.01 % Number of variables : 16681 (16538 !; 143 ?) % 182.67/183.01 % SPC : FOF_CAX_RFO_SEQ % 182.67/183.01 % 182.67/183.01 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 182.67/183.01 % 2011-03-01 12:25:55 % 182.67/183.01 %------------------------------------------------------------------------------ % 182.67/183.01 %----Relevant facts (4987) % 182.67/183.01 fof(fact_ext,axiom, % 182.67/183.01 ! [V_g_2,V_f_2] : % 182.67/183.01 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 182.67/183.01 => V_f_2 = V_g_2 ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_empty,axiom, % 182.67/183.01 ! [V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ). % 182.67/183.01 % 182.67/183.01 fof(fact_hoare__derivs_OSkip,axiom, % 182.67/183.01 ! [V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 182.67/183.01 % 182.67/183.01 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 182.67/183.01 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ). % 182.67/183.01 % 182.67/183.01 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 182.67/183.01 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 182.67/183.01 % 182.67/183.01 fof(fact_triple_Oinject,axiom, % 182.67/183.01 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] : % 182.67/183.01 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 182.67/183.01 <=> ( V_fun1_2 = V_fun1_H_2 % 182.67/183.01 & V_com_2 = V_com_H_2 % 182.67/183.01 & V_fun2_2 = V_fun2_H_2 ) ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_cut,axiom, % 182.67/183.01 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] : % 182.67/183.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2) % 182.67/183.01 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_G_H_2) % 182.67/183.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_hoare__derivs_Oinsert,axiom, % 182.67/183.01 ! [V_ts_2,V_t_2,V_Ga_2,T_a] : % 182.67/183.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.01 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) % 182.67/183.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_derivs__insertD,axiom, % 182.67/183.01 ! [V_ts_2,V_t_2,V_Ga_2,T_a] : % 182.67/183.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) % 182.67/183.01 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.01 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_evalc_OSkip,axiom, % 182.67/183.01 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 182.67/183.01 % 182.67/183.01 fof(fact_evalc__elim__cases_I1_J,axiom, % 182.67/183.01 ! [V_t,V_s] : % 182.67/183.01 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 182.67/183.01 => V_t = V_s ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_weak__Body,axiom, % 182.67/183.01 ! [V_Q_2,V_pn_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 182.67/183.01 % 182.67/183.01 fof(fact_BodyN,axiom, % 182.67/183.01 ! [V_Ga_2,V_Q_2,V_pn_2,V_P_2,T_a] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_Ga_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_MGT__def,axiom, % 182.67/183.02 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ). % 182.67/183.02 % 182.67/183.02 fof(fact_bot__fun__def,axiom, % 182.67/183.02 ! [V_x_2,T_b,T_a] : % 182.67/183.02 ( class_Orderings_Obot(T_a) % 182.67/183.02 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I18_J,axiom, % 182.67/183.02 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I19_J,axiom, % 182.67/183.02 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_Oequations_I1_J,axiom, % 182.67/183.02 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 182.67/183.02 % 182.67/183.02 fof(fact_triple_Orecs,axiom, % 182.67/183.02 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_triple_Osimps_I2_J,axiom, % 182.67/183.02 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_MGF__complete,axiom, % 182.67/183.02 ! [V_Q_2,V_P_2,V_ca_2] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 182.67/183.02 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_OBody,axiom, % 182.67/183.02 ! [V_s1,V_s0,V_pn] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 182.67/183.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc__elim__cases_I6_J,axiom, % 182.67/183.02 ! [V_s1,V_s,V_P] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 182.67/183.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_hoare__sound,axiom, % 182.67/183.02 ! [V_ts_2,V_Ga_2,T_a] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_Oequations_I9_J,axiom, % 182.67/183.02 ! [V_a3_2,V_a2_2,V_a1_2] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 182.67/183.02 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com__det,axiom, % 182.67/183.02 ! [V_u,V_t,V_s,V_c] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 182.67/183.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 182.67/183.02 => V_u = V_t ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I6_J,axiom, % 182.67/183.02 ! [V_pname_H_2,V_pname_2] : % 182.67/183.02 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 182.67/183.02 <=> V_pname_2 = V_pname_H_2 ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_bot__apply,axiom, % 182.67/183.02 ! [V_x_2,T_b,T_a] : % 182.67/183.02 ( class_Orderings_Obot(T_a) % 182.67/183.02 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_MGT__alternD,axiom, % 182.67/183.02 ! [V_ca_2,V_Ga_2] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ostate__not__singleton % 182.67/183.02 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_MGT__alternI,axiom, % 182.67/183.02 ! [V_ca_2,V_Ga_2] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_singleton__inject,axiom, % 182.67/183.02 ! [V_b_2,V_a_2,T_a] : % 182.67/183.02 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 182.67/183.02 => V_a_2 = V_b_2 ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_doubleton__eq__iff,axiom, % 182.67/183.02 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.67/183.02 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 182.67/183.02 <=> ( ( V_a_2 = V_ca_2 % 182.67/183.02 & V_b_2 = V_d_2 ) % 182.67/183.02 | ( V_a_2 = V_d_2 % 182.67/183.02 & V_b_2 = V_ca_2 ) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_insert__not__empty,axiom, % 182.67/183.02 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.02 % 182.67/183.02 fof(fact_empty__not__insert,axiom, % 182.67/183.02 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_escape,axiom, % 182.67/183.02 ! [V_Q_2,V_ca_2,V_Ga_2,T_a,V_P_2] : % 182.67/183.02 ( ! [B_Z,B_s] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_conseq1,axiom, % 182.67/183.02 ! [V_P_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_a] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.02 => ( ! [B_Z,B_s] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 182.67/183.02 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_conseq2,axiom, % 182.67/183.02 ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.02 => ( ! [B_Z,B_s] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 182.67/183.02 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_Comp,axiom, % 182.67/183.02 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.02 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.02 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.02 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_LoopF,axiom, % 182.67/183.02 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 182.67/183.02 % 182.67/183.02 fof(fact_finite__dom__body,axiom, % 182.67/183.02 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_OWhileFalse,axiom, % 182.67/183.02 ! [V_ca_2,V_s_2,V_b_2] : % 182.67/183.02 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.67/183.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_OWhileTrue,axiom, % 182.67/183.02 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] : % 182.67/183.02 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 182.67/183.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2)) % 182.67/183.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2)) % 182.67/183.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_OSemi,axiom, % 182.67/183.02 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 182.67/183.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 182.67/183.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I46_J,axiom, % 182.67/183.02 ! [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) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I47_J,axiom, % 182.67/183.02 ! [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) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I3_J,axiom, % 182.67/183.02 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 182.67/183.02 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 182.67/183.02 <=> ( V_com1_2 = V_com1_H_2 % 182.67/183.02 & V_com2_2 = V_com2_H_2 ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I5_J,axiom, % 182.67/183.02 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 182.67/183.02 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 182.67/183.02 <=> ( V_fun_2 = V_fun_H_2 % 182.67/183.02 & V_com_2 = V_com_H_2 ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_Oequations_I7_J,axiom, % 182.67/183.02 ! [V_a2_2,V_a3_2,V_a1_2] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 182.67/183.02 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.02 => ? [B_s1] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 182.67/183.02 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_Oequations_I8_J,axiom, % 182.67/183.02 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 182.67/183.02 <=> ( ( V_a5_2 = V_a2_2 % 182.67/183.02 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 182.67/183.02 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.02 & ? [B_s1] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 182.67/183.02 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I59_J,axiom, % 182.67/183.02 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I58_J,axiom, % 182.67/183.02 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I16_J,axiom, % 182.67/183.02 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I17_J,axiom, % 182.67/183.02 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 182.67/183.02 % 182.67/183.02 fof(fact_evalc_Oequations_I4_J,axiom, % 182.67/183.02 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 182.67/183.02 <=> ? [B_s1] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 182.67/183.02 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I49_J,axiom, % 182.67/183.02 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I48_J,axiom, % 182.67/183.02 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I12_J,axiom, % 182.67/183.02 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 182.67/183.02 % 182.67/183.02 fof(fact_com_Osimps_I13_J,axiom, % 182.67/183.02 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 182.67/183.02 % 182.67/183.02 fof(fact_insert__absorb2,axiom, % 182.67/183.02 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ). % 182.67/183.02 % 182.67/183.02 fof(fact_insert__commute,axiom, % 182.67/183.02 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ). % 182.67/183.02 % 182.67/183.02 fof(fact_insert__code,axiom, % 182.67/183.02 ! [V_x_2,V_A_2,V_y_2,T_a] : % 182.67/183.02 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2)) % 182.67/183.02 <=> ( V_y_2 = V_x_2 % 182.67/183.02 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_finite_OinsertI,axiom, % 182.67/183.02 ! [V_a_2,V_A_2,T_a] : % 182.67/183.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ). % 182.67/183.02 % 182.67/183.02 fof(fact_finite_OemptyI,axiom, % 182.67/183.02 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.67/183.02 % 182.67/183.02 fof(fact_the__elem__eq,axiom, % 182.67/183.02 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ). % 182.67/183.02 % 182.67/183.03 fof(fact_finite__insert,axiom, % 182.67/183.03 ! [V_A_2,V_a_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) % 182.67/183.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite_Oequations_I1_J,axiom, % 182.67/183.03 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.67/183.03 % 182.67/183.03 fof(fact_evalc__elim__cases_I4_J,axiom, % 182.67/183.03 ! [V_t,V_s,V_c2,V_c1] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 182.67/183.03 => ~ ! [B_s1] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 182.67/183.03 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Loop__sound__lemma,axiom, % 182.67/183.03 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Loop,axiom, % 182.67/183.03 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 182.67/183.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.03 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite__code,axiom, % 182.67/183.03 ! [V_A_2,T_a] : % 182.67/183.03 ( class_Finite__Set_Ofinite(T_a) % 182.67/183.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite,axiom, % 182.67/183.03 ! [V_A_2,T_a] : % 182.67/183.03 ( class_Finite__Set_Ofinite(T_a) % 182.67/183.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Body__sound__lemma,axiom, % 182.67/183.03 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite__imageI,axiom, % 182.67/183.03 ! [V_h_2,T_b,V_F_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.67/183.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_F_2))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_ball__Un,axiom, % 182.67/183.03 ! [V_P_2,V_B_2,V_A_2,T_a] : % 182.67/183.03 ( ! [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.03 => hBOOL(hAPP(V_P_2,B_x)) ) % 182.67/183.03 <=> ( ! [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.03 => hBOOL(hAPP(V_P_2,B_x)) ) % 182.67/183.03 & ! [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 182.67/183.03 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_bex__Un,axiom, % 182.67/183.03 ! [V_P_2,V_B_2,V_A_2,T_a] : % 182.67/183.03 ( ? [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.03 & hBOOL(hAPP(V_P_2,B_x)) ) % 182.67/183.03 <=> ( ? [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.03 & hBOOL(hAPP(V_P_2,B_x)) ) % 182.67/183.03 | ? [B_x] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 182.67/183.03 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__assoc,axiom, % 182.67/183.03 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__Un,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__left__commute,axiom, % 182.67/183.03 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__left__absorb,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__commute,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__absorb,axiom, % 182.67/183.03 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 182.67/183.03 % 182.67/183.03 fof(fact_folding__one__idem_Oidem,axiom, % 182.67/183.03 ! [V_x_2,V_F_2,V_f_2,T_a] : % 182.67/183.03 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.03 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__image,axiom, % 182.67/183.03 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite__Un,axiom, % 182.67/183.03 ! [V_Ga_2,V_F_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 182.67/183.03 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.67/183.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite__UnI,axiom, % 182.67/183.03 ! [V_Ga_2,V_F_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) % 182.67/183.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_folding__one__idem_Ounion__idem,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.03 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__is__empty,axiom, % 182.67/183.03 ! [V_A_2,V_f_2,T_a,T_b] : % 182.67/183.03 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__empty,axiom, % 182.67/183.03 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_empty__is__image,axiom, % 182.67/183.03 ! [V_A_2,V_f_2,T_b,T_a] : % 182.67/183.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) % 182.67/183.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__insert,axiom, % 182.67/183.03 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__empty,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,T_a] : % 182.67/183.03 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__empty__right,axiom, % 182.67/183.03 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__empty__left,axiom, % 182.67/183.03 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__insert__left,axiom, % 182.67/183.03 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Un__insert__right,axiom, % 182.67/183.03 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_peek__and__def,axiom, % 182.67/183.03 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_p_2),V_Z_2),V_s_2)) % 182.67/183.03 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2)) % 182.67/183.03 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insert__is__Un,axiom, % 182.67/183.03 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__constant__conv,axiom, % 182.67/183.03 ! [V_ca_2,T_b,T_a,V_A_2] : % 182.67/183.03 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 182.67/183.03 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_hoare__derivs_OBody,axiom, % 182.67/183.03 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_Body1,axiom, % 182.67/183.03 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2)) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_hoare__derivs_OIf,axiom, % 182.67/183.03 ! [V_d_2,V_Q_2,V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_finite__pointwise,axiom, % 182.67/183.03 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_b,V_U_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2)) % 182.67/183.03 => ( ! [B_p] : % 182.67/183.03 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 182.67/183.03 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2)) % 182.67/183.03 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup1E,axiom, % 182.67/183.03 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 182.67/183.03 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 182.67/183.03 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup1CI,axiom, % 182.67/183.03 ! [T_a,V_A_2,V_x_2,V_B_2] : % 182.67/183.03 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 182.67/183.03 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 182.67/183.03 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__fun__def,axiom, % 182.67/183.03 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 182.67/183.03 ( class_Lattices_Olattice(T_a) % 182.67/183.03 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__compose,axiom, % 182.67/183.03 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__apply,axiom, % 182.67/183.03 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 182.67/183.03 ( class_Lattices_Olattice(T_a) % 182.67/183.03 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__eq__bot__iff,axiom, % 182.67/183.03 ! [V_y_2,V_x_2,T_a] : % 182.67/183.03 ( class_Lattices_Obounded__lattice__bot(T_a) % 182.67/183.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a) % 182.67/183.03 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a) % 182.67/183.03 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__bot__right,axiom, % 182.67/183.03 ! [V_x,T_a] : % 182.67/183.03 ( class_Lattices_Obounded__lattice__bot(T_a) % 182.67/183.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__bot__left,axiom, % 182.67/183.03 ! [V_x,T_a] : % 182.67/183.03 ( class_Lattices_Obounded__lattice__bot(T_a) % 182.67/183.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_folding__idem_Ounion__idem,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.03 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_equalityCE,axiom, % 182.67/183.03 ! [V_ca_2,T_a,V_B_2,V_A_2] : % 182.67/183.03 ( V_A_2 = V_B_2 % 182.67/183.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.03 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) % 182.67/183.03 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_emptyE,axiom, % 182.67/183.03 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insertE,axiom, % 182.67/183.03 ! [V_A_2,V_b_2,V_a_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2))) % 182.67/183.03 => ( V_a_2 != V_b_2 % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insertCI,axiom, % 182.67/183.03 ! [V_b_2,V_B_2,V_a_2,T_a] : % 182.67/183.03 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 182.67/183.03 => V_a_2 = V_b_2 ) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_image__eqI,axiom, % 182.67/183.03 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] : % 182.67/183.03 ( V_b_2 = hAPP(V_f_2,V_x_2) % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_UnE,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_UnCI,axiom, % 182.67/183.03 ! [V_A_2,V_B_2,V_ca_2,T_a] : % 182.67/183.03 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_evalc_OIfFalse,axiom, % 182.67/183.03 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 182.67/183.03 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_evalc_OIfTrue,axiom, % 182.67/183.03 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 182.67/183.03 ( hBOOL(hAPP(V_b_2,V_s_2)) % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_evalc__elim__cases_I5_J,axiom, % 182.67/183.03 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2)) % 182.67/183.03 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 182.67/183.03 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 182.67/183.03 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.67/183.03 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_com_Osimps_I4_J,axiom, % 182.67/183.03 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 182.67/183.03 ( 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) % 182.67/183.03 <=> ( V_fun_2 = V_fun_H_2 % 182.67/183.03 & V_com1_2 = V_com1_H_2 % 182.67/183.03 & V_com2_2 = V_com2_H_2 ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_pred__equals__eq,axiom, % 182.67/183.03 ! [V_S_2,V_R_2,T_a] : % 182.67/183.03 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2) % 182.67/183.03 <=> V_R_2 = V_S_2 ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_eq__mem,axiom, % 182.67/183.03 ! [V_y_2,V_x_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2))) % 182.67/183.03 <=> V_x_2 = V_y_2 ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_mem__def,axiom, % 182.67/183.03 ! [V_A_2,V_x_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.03 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_eqset__imp__iff,axiom, % 182.67/183.03 ! [V_x_2,T_a,V_B_2,V_A_2] : % 182.67/183.03 ( V_A_2 = V_B_2 % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.03 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_eqelem__imp__iff,axiom, % 182.67/183.03 ! [V_A_2,T_a,V_y_2,V_x_2] : % 182.67/183.03 ( V_x_2 = V_y_2 % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.03 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_eq__mem__trans,axiom, % 182.67/183.03 ! [V_A_2,T_a,V_b_2,V_a_2] : % 182.67/183.03 ( V_a_2 = V_b_2 % 182.67/183.03 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 182.67/183.03 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_bot__empty__eq,axiom, % 182.67/183.03 ! [V_x_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) % 182.67/183.03 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_sup__Un__eq,axiom, % 182.67/183.03 ! [V_x_2,V_S_2,V_R_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2)) % 182.67/183.03 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_all__not__in__conv,axiom, % 182.67/183.03 ! [V_A_2,T_a] : % 182.67/183.03 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_ex__in__conv,axiom, % 182.67/183.03 ! [V_A_2,T_a] : % 182.67/183.03 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.03 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_empty__iff,axiom, % 182.67/183.03 ! [V_ca_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.67/183.03 % 182.67/183.03 fof(fact_equals0D,axiom, % 182.67/183.03 ! [V_a_2,T_a,V_A_2] : % 182.67/183.03 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.03 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insertI1,axiom, % 182.67/183.03 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insert__iff,axiom, % 182.67/183.03 ! [V_A_2,V_b_2,V_a_2,T_a] : % 182.67/183.03 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2))) % 182.67/183.03 <=> ( V_a_2 = V_b_2 % 182.67/183.03 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.67/183.03 % 182.67/183.03 fof(fact_insert__ident,axiom, % 182.67/183.03 ! [V_B_2,V_A_2,V_x_2,T_a] : % 182.67/183.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.67/183.03 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2) % 182.67/183.03 <=> V_A_2 = V_B_2 ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_insertI2,axiom, % 182.67/183.04 ! [V_b_2,V_B_2,V_a_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_insert__absorb,axiom, % 182.67/183.04 ! [V_A_2,V_a_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.04 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_image__iff,axiom, % 182.67/183.04 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 182.67/183.04 <=> ? [B_x] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.67/183.04 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_imageI,axiom, % 182.67/183.04 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_rev__image__eqI,axiom, % 182.67/183.04 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__iff,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 | hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_UnI1,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_UnI2,axiom, % 182.67/183.04 ! [V_A_2,V_B_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__idem_Oin__comp__idem,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_evalc_Oequations_I5_J,axiom, % 182.67/183.04 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2)) % 182.67/183.04 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.04 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 182.67/183.04 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.04 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_evalc_Oequations_I6_J,axiom, % 182.67/183.04 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2)) % 182.67/183.04 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.04 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 182.67/183.04 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.67/183.04 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I55_J,axiom, % 182.67/183.04 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I54_J,axiom, % 182.67/183.04 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I53_J,axiom, % 182.67/183.04 ! [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) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I52_J,axiom, % 182.67/183.04 ! [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) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I44_J,axiom, % 182.67/183.04 ! [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) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I45_J,axiom, % 182.67/183.04 ! [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) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I14_J,axiom, % 182.67/183.04 ! [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) ). % 182.67/183.04 % 182.67/183.04 fof(fact_com_Osimps_I15_J,axiom, % 182.67/183.04 ! [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 ). % 182.67/183.04 % 182.67/183.04 fof(fact_singleton__iff,axiom, % 182.67/183.04 ! [V_a_2,V_b_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 182.67/183.04 <=> V_b_2 = V_a_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_singletonE,axiom, % 182.67/183.04 ! [V_a_2,V_b_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 182.67/183.04 => V_b_2 = V_a_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_insert__image,axiom, % 182.67/183.04 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__idem_Oidem__left__comp,axiom, % 182.67/183.04 ! [V_g_2,V_x_2,T_c,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__idem_Oidem__comp,axiom, % 182.67/183.04 ! [V_x_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one__idem_Oin__idem,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__assoc,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I6_J,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup_Oassoc,axiom, % 182.67/183.04 ! [V_c,V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__left__commute,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I7_J,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup_Oleft__commute,axiom, % 182.67/183.04 ! [V_c,V_a,V_b,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__left__idem,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I8_J,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup_Oleft__idem,axiom, % 182.67/183.04 ! [V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__commute,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I5_J,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup_Ocommute,axiom, % 182.67/183.04 ! [V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__idem,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup_Oidem,axiom, % 182.67/183.04 ! [V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup1I2,axiom, % 182.67/183.04 ! [V_A_2,T_a,V_x_2,V_B_2] : % 182.67/183.04 ( hBOOL(hAPP(V_B_2,V_x_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup1I1,axiom, % 182.67/183.04 ! [V_B_2,T_a,V_x_2,V_A_2] : % 182.67/183.04 ( hBOOL(hAPP(V_A_2,V_x_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__eq__elim,axiom, % 182.67/183.04 ! [V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] : % 182.67/183.04 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2) % 182.67/183.04 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__eq__dest,axiom, % 182.67/183.04 ! [V_v_2,V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] : % 182.67/183.04 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2) % 182.67/183.04 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__apply,axiom, % 182.67/183.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__assoc,axiom, % 182.67/183.04 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_image__constant,axiom, % 182.67/183.04 ! [V_ca_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_image__ident,axiom, % 182.67/183.04 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__def,axiom, % 182.67/183.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__idem_Oinsert__idem,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one_Oinsert,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Oinsert,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_the__elem__def,axiom, % 182.67/183.04 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one__idem_Ohom__commute,axiom, % 182.67/183.04 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.04 => ( ! [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)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.67/183.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple_Oinsert,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.67/183.04 => 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)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_finite__induct,axiom, % 182.67/183.04 ! [V_P_2,V_F_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.67/183.04 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 182.67/183.04 => ( ! [B_x,B_F] : % 182.67/183.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F)) % 182.67/183.04 => ( hBOOL(hAPP(V_P_2,B_F)) % 182.67/183.04 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) ) % 182.67/183.04 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 182.67/183.04 => 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) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_K__record__comp,axiom, % 182.67/183.04 ! [V_x_2,V_f_2,V_ca_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_image__eq__fold__image,axiom, % 182.67/183.04 ! [V_f_2,T_b,V_A_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple__idem_Oidem,axiom, % 182.67/183.04 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 182.67/183.04 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_fold__image__empty,axiom, % 182.67/183.04 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 182.67/183.04 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_F_2,V_fa_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_F_2) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__comp,axiom, % 182.67/183.04 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__left__comp,axiom, % 182.67/183.04 ! [V_g_2,V_x_2,V_y_2,T_c,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple_Oempty,axiom, % 182.67/183.04 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 182.67/183.04 ! [V_g_2,T_c,V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__comp_H_H,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__left__comp_H,axiom, % 182.67/183.04 ! [V_g_2,V_x_2,T_c,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ocommute__comp_H,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Sup__fin_Oidem,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_o__eq__dest__lhs,axiom, % 182.67/183.04 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] : % 182.67/183.04 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_ca_2 % 182.67/183.04 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one_Osingleton,axiom, % 182.67/183.04 ! [V_x_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_comm__monoid__big_OF__eq,axiom, % 182.67/183.04 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2) % 182.67/183.04 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) % 182.67/183.04 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one_Oclosed,axiom, % 182.67/183.04 ! [V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Oremove,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Sup__fin_Oinsert,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_the__sym__eq__trivial,axiom, % 182.67/183.04 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_the__eq__trivial,axiom, % 182.67/183.04 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Ounion,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__image__simple_Oremove,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding__one_Oremove,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 182.67/183.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_folding_Oinsert__remove,axiom, % 182.67/183.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Sup__fin_Ounion__idem,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf1I,axiom, % 182.67/183.04 ! [T_a,V_B_2,V_x_2,V_A_2] : % 182.67/183.04 ( hBOOL(hAPP(V_A_2,V_x_2)) % 182.67/183.04 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf1E,axiom, % 182.67/183.04 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 182.67/183.04 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 182.67/183.04 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_IntI,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_IntE,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_DiffI,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_DiffE,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_finite__Int,axiom, % 182.67/183.04 ! [V_Ga_2,V_F_2,T_a] : % 182.67/183.04 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.67/183.04 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) ) % 182.67/183.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_finite__Diff,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Inf__fin_Oidem,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__absorb,axiom, % 182.67/183.04 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__commute,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__left__absorb,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__left__commute,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__Int__distrib,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__idemp,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__Diff,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__assoc,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__Int__distrib2,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__Int2,axiom, % 182.67/183.04 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf_Oidem,axiom, % 182.67/183.04 ! [V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__idem,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_fun__diff__def,axiom, % 182.67/183.04 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 182.67/183.04 ( class_Groups_Ominus(T_a) % 182.67/183.04 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__fun__def,axiom, % 182.67/183.04 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf_Ocommute,axiom, % 182.67/183.04 ! [V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I1_J,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__commute,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf_Oleft__idem,axiom, % 182.67/183.04 ! [V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I4_J,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__left__idem,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf_Oleft__commute,axiom, % 182.67/183.04 ! [V_c,V_a,V_b,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I3_J,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__left__commute,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf_Oassoc,axiom, % 182.67/183.04 ! [V_c,V_b,V_a,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__aci_I2_J,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__assoc,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_minus__apply,axiom, % 182.67/183.04 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 182.67/183.04 ( class_Groups_Ominus(T_a) % 182.67/183.04 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__apply,axiom, % 182.67/183.04 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf1D1,axiom, % 182.67/183.04 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 182.67/183.04 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf1D2,axiom, % 182.67/183.04 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 182.67/183.04 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__disjoint,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__triv,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__Int,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__Un,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Diff__Int,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__Sup__absorb,axiom, % 182.67/183.04 ! [V_a_2,V_A_2,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.04 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__bot__left,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Obounded__lattice__bot(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__bot__right,axiom, % 182.67/183.04 ! [V_x,T_a] : % 182.67/183.04 ( class_Lattices_Obounded__lattice__bot(T_a) % 182.67/183.04 => 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) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__inf__distrib2,axiom, % 182.67/183.04 ! [V_x,V_z,V_y,T_a] : % 182.67/183.04 ( class_Lattices_Odistrib__lattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__distrib2,axiom, % 182.67/183.04 ! [V_x,V_z,V_y,T_a] : % 182.67/183.04 ( class_Lattices_Odistrib__lattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__inf__distrib1,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Odistrib__lattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__distrib1,axiom, % 182.67/183.04 ! [V_z,V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Odistrib__lattice(T_a) % 182.67/183.04 => 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)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_sup__inf__absorb,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__sup__absorb,axiom, % 182.67/183.04 ! [V_y,V_x,T_a] : % 182.67/183.04 ( class_Lattices_Olattice(T_a) % 182.67/183.04 => 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 ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__iff,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_DiffD1,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_DiffD2,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__iff,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.67/183.04 & hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_IntD1,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_IntD2,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_empty__Diff,axiom, % 182.67/183.04 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__empty,axiom, % 182.67/183.04 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 182.67/183.04 % 182.67/183.04 fof(fact_Diff__cancel,axiom, % 182.67/183.04 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_finite__Diff2,axiom, % 182.67/183.04 ! [V_A_2,V_B_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.67/183.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__empty__left,axiom, % 182.67/183.04 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__empty__right,axiom, % 182.67/183.04 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_disjoint__iff__not__equal,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : % 182.67/183.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.04 <=> ! [B_x] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.04 => ! [B_xa] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2)) % 182.67/183.04 => B_x != B_xa ) ) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_insert__inter__insert,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Diff__cancel,axiom, % 182.67/183.04 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Diff__cancel2,axiom, % 182.67/183.04 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Diff,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__Un__distrib,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Int__distrib,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Int__Un__distrib2,axiom, % 182.67/183.04 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Int__distrib2,axiom, % 182.67/183.04 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_Un__Int__crazy,axiom, % 182.67/183.04 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 182.67/183.04 % 182.67/183.04 fof(fact_inf__Int__eq,axiom, % 182.67/183.04 ! [V_x_2,V_S_2,V_R_2,T_a] : % 182.67/183.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2)) % 182.67/183.04 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 182.67/183.04 % 182.67/183.04 fof(fact_insert__Diff__if,axiom, % 182.67/183.04 ! [V_A_2,V_B_2,V_x_2,T_a] : % 182.67/183.04 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.67/183.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) % 182.67/183.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.67/183.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_insert__Diff1,axiom, % 182.67/183.05 ! [V_A_2,V_B_2,V_x_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.67/183.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oinsert__remove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 182.67/183.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Diff__insert,axiom, % 182.67/183.05 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Diff__insert2,axiom, % 182.67/183.05 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_insert__Diff__single,axiom, % 182.67/183.05 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_finite__Diff__insert,axiom, % 182.67/183.05 ! [V_B_2,V_a_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)))) % 182.67/183.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__right,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_a_2,T_a] : % 182.67/183.05 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 182.67/183.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__left,axiom, % 182.67/183.05 ! [V_B_2,V_C_2,V_a_2,T_a] : % 182.67/183.05 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 182.67/183.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__right__if0,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_a_2,T_a] : % 182.67/183.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__left__if0,axiom, % 182.67/183.05 ! [V_B_2,V_C_2,V_a_2,T_a] : % 182.67/183.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__right__if1,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_a_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__insert__left__if1,axiom, % 182.67/183.05 ! [V_B_2,V_C_2,V_a_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Ounion__inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Osingleton,axiom, % 182.67/183.05 ! [V_x_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oremove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 ) % 182.67/183.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Diff__insert__absorb,axiom, % 182.67/183.05 ! [V_A_2,V_x_2,T_a] : % 182.67/183.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_insert__Diff,axiom, % 182.67/183.05 ! [V_A_2,V_a_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image__simple_Ounion__inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.67/183.05 => 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)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oin__idem,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__one_Oinsert__remove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 182.67/183.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding_Ounion__inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__one_Ounion__inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__one_Ounion__disjoint,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.67/183.05 => ( 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)) % 182.67/183.05 => 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)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oinsert__idem,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_comm__monoid__big_Oinfinite,axiom, % 182.67/183.05 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2) % 182.67/183.05 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oclosed,axiom, % 182.67/183.05 ! [V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 182.67/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oremove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 ) % 182.67/183.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__image,axiom, % 182.67/183.05 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.05 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) % 182.67/183.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Ohom__commute,axiom, % 182.67/183.05 ! [V_N_2,V_h_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.67/183.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_finite__empty__induct,axiom, % 182.67/183.05 ! [V_P_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 182.67/183.05 => ( ! [B_a,B_A] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) % 182.67/183.05 => ( hBOOL(hAPP(V_P_2,B_A)) % 182.67/183.05 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) % 182.67/183.05 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Ounion__inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oinsert__remove,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 182.67/183.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oinsert,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.67/183.05 => ( ! [B_x] : % 182.67/183.05 ( 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))) % 182.67/183.05 => hAPP(V_g_2,B_x) = V_z_2 ) % 182.67/183.05 => 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)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem__remove,axiom, % 182.67/183.05 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__triv,axiom, % 182.67/183.05 ! [V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__idem,axiom, % 182.67/183.05 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] : % 182.67/183.05 ( hAPP(V_f_2,V_x_2) = V_y_2 % 182.67/183.05 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2) = V_f_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__other,axiom, % 182.67/183.05 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] : % 182.67/183.05 ( V_z_2 != V_x_2 % 182.67/183.05 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__twist,axiom, % 182.67/183.05 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_ca_2,V_a_2] : % 182.67/183.05 ( V_a_2 != V_ca_2 % 182.67/183.05 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_a_2),V_b_2)),V_ca_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_ca_2),V_d_2)),V_a_2),V_b_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__apply,axiom, % 182.67/183.05 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] : % 182.67/183.05 ( ( V_z_2 = V_x_2 % 182.67/183.05 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 ) % 182.67/183.05 & ( V_z_2 != V_x_2 % 182.67/183.05 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__same,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__upd,axiom, % 182.67/183.05 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_z_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__idem__iff,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2) = V_f_2 % 182.67/183.05 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 182.67/183.05 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 182.67/183.05 => 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) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__def,axiom, % 182.67/183.05 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] : % 182.67/183.05 ( ( V_x_2 = V_a_2 % 182.67/183.05 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 ) % 182.67/183.05 & ( V_x_2 != V_a_2 % 182.67/183.05 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 182.67/183.05 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 182.67/183.05 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__upd__comp,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_c),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem__insert,axiom, % 182.67/183.05 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem__sup,axiom, % 182.67/183.05 ! [T_a] : % 182.67/183.05 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.05 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem__inf,axiom, % 182.67/183.05 ! [T_a] : % 182.67/183.05 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.05 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 182.67/183.05 ! [V_x_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 182.67/183.05 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Osingleton,axiom, % 182.67/183.05 ! [V_x_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_sup__Inf__absorb,axiom, % 182.67/183.05 ! [V_a_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oin__idem,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oinsert__idem,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Ounion__idem,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.67/183.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oclosed,axiom, % 182.67/183.05 ! [V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 182.67/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Ohom__commute,axiom, % 182.67/183.05 ! [V_N_2,V_h_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.67/183.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__diff1__ring,axiom, % 182.67/183.05 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 182.67/183.05 ( class_Rings_Oring(T_b) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__diff1,axiom, % 182.67/183.05 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 182.67/183.05 ( class_Groups_Oab__group__add(T_b) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 182.67/183.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 182.67/183.05 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2) % 182.67/183.05 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Diff1__fold__graph,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin__Inf,axiom, % 182.67/183.05 ! [V_A_2,T_a] : % 182.67/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__Un,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.67/183.05 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.67/183.05 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_finite__Inter,axiom, % 182.67/183.05 ! [V_M_2,T_a] : % 182.67/183.05 ( ? [B_x] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2)) % 182.67/183.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) ) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__empty,axiom, % 182.67/183.05 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__id2,axiom, % 182.67/183.05 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__commute,axiom, % 182.67/183.05 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 182.67/183.05 ( class_Groups_Ocomm__monoid__add(T_a) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__def,axiom, % 182.67/183.05 ! [V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 <=> ! [B_x] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.67/183.05 => ! [B_xa] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 182.67/183.05 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 182.67/183.05 => B_x = B_xa ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__def,axiom, % 182.67/183.05 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__reindex,axiom, % 182.67/183.05 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] : % 182.67/183.05 ( class_Groups_Ocomm__monoid__add(T_c) % 182.67/183.05 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__onD,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 182.67/183.05 => V_x_2 = V_y_2 ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__iff,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 182.67/183.05 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 182.67/183.05 <=> V_x_2 = V_y_2 ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__contraD,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( V_x_2 != V_y_2 % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 182.67/183.05 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__Int,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.67/183.05 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__imageI2,axiom, % 182.67/183.05 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2) % 182.67/183.05 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__diff,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 182.67/183.05 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 182.67/183.05 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__empty,axiom, % 182.67/183.05 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ). % 182.67/183.05 % 182.67/183.05 fof(fact_inf__Inf__fold__inf,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum_Oreindex,axiom, % 182.67/183.05 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] : % 182.67/183.05 ( class_Groups_Ocomm__monoid__add(T_b) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__subtractf,axiom, % 182.67/183.05 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( class_Groups_Oab__group__add(T_a) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_Oequations_I1_J,axiom, % 182.67/183.05 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_OemptyI,axiom, % 182.67/183.05 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_empty__fold__graphE,axiom, % 182.67/183.05 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) % 182.67/183.05 => V_x_2 = V_z_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph__imp__finite,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2)) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__image__def,axiom, % 182.67/183.05 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_finite__imageD,axiom, % 182.67/183.05 ! [V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 182.67/183.05 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__Un__image__eq__iff,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.67/183.05 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2) % 182.67/183.05 <=> V_A_2 = V_B_2 ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__imageI,axiom, % 182.67/183.05 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2) % 182.67/183.05 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_comp__inj__on,axiom, % 182.67/183.05 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) % 182.67/183.05 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_comp__inj__on__iff,axiom, % 182.67/183.05 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) % 182.67/183.05 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding_Oeq__fold,axiom, % 182.67/183.05 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_OinsertI,axiom, % 182.67/183.05 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 182.67/183.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__fun__updI,axiom, % 182.67/183.05 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.67/183.05 => c_Fun_Oinj__on(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_union__fold__insert,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__sup__insert,axiom, % 182.67/183.05 ! [V_a_2,V_b_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Osemilattice__sup(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__inf__insert,axiom, % 182.67/183.05 ! [V_a_2,V_b_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Osemilattice__inf(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 182.67/183.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 182.67/183.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 182.67/183.05 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_setsum__diff1__nat,axiom, % 182.67/183.05 ! [V_f_2,V_A_2,V_a_2,T_a] : % 182.67/183.05 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 182.67/183.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 182.67/183.05 ! [V_a_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 182.67/183.05 ! [V_a_2,V_A_2,T_a] : % 182.67/183.05 ( class_Lattices_Olattice(T_a) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_minus__fold__remove,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__one_Oeq__fold_H,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_inj__on__insert,axiom, % 182.67/183.05 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) % 182.67/183.05 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.67/183.05 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__binary,axiom, % 182.67/183.05 ! [V_b_2,V_a_2,T_a] : % 182.67/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.67/183.05 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__insert,axiom, % 182.67/183.05 ! [V_A_2,V_a_2,T_a] : % 182.67/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.67/183.05 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inf__singleton,axiom, % 182.67/183.05 ! [V_a_2,T_a] : % 182.67/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.67/183.05 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__rec,axiom, % 182.67/183.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_InterE,axiom, % 182.67/183.05 ! [V_X_2,V_C_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 182.67/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_InterD,axiom, % 182.67/183.05 ! [V_X_2,V_C_2,V_A_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 182.67/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold1Set_Ointros,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 182.67/183.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image_Oreindex,axiom, % 182.67/183.05 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 182.67/183.05 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 182.67/183.05 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] : % 182.67/183.05 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 182.67/183.05 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.67/183.05 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 182.67/183.05 | ? [B_x,B_y] : % 182.67/183.05 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 182.67/183.05 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2)) % 182.67/183.05 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 182.67/183.05 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => 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)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 182.67/183.05 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 182.67/183.05 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2)) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 182.67/183.05 => V_y_2 = V_x_2 ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold1Set__nonempty,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_f_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2)) % 182.67/183.05 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_empty__fold1SetE,axiom, % 182.67/183.05 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image_Odistrib,axiom, % 182.67/183.05 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 182.67/183.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inter__Un__distrib,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Inter__insert,axiom, % 182.67/183.05 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 182.67/183.05 % 182.67/183.05 fof(fact_Int__eq__Inter,axiom, % 182.67/183.05 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__equality,axiom, % 182.67/183.05 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fold1Set__sing,axiom, % 182.67/183.05 ! [V_b_2,V_a_2,V_f_2,T_a] : % 182.67/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2)) % 182.67/183.05 <=> V_a_2 = V_b_2 ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_folding__image_Oeq__fold,axiom, % 182.67/183.05 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.67/183.05 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 182.67/183.05 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 182.67/183.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__insert,axiom, % 182.67/183.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.67/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.67/183.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 182.67/183.05 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.67/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.67/183.05 => ? [B_y_H] : % 182.67/183.05 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 182.67/183.05 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 182.67/183.05 % 182.67/183.05 fof(fact_the__inv__into__comp,axiom, % 182.67/183.05 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] : % 182.67/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2)) % 182.67/183.05 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2) % 182.67/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2)))) % 182.67/183.05 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUPR__fold__sup,axiom, % 182.84/183.05 ! [V_f_2,V_A_2,T_a,T_b] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Inf__fold__inf,axiom, % 182.84/183.05 ! [V_A_2,T_a] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_setsum_Oremove,axiom, % 182.84/183.05 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 182.84/183.05 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_setsum__diff1_H,axiom, % 182.84/183.05 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 182.84/183.05 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Sup__fold__sup,axiom, % 182.84/183.05 ! [V_A_2,T_a] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_insert__fold1SetE,axiom, % 182.84/183.05 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2)) % 182.84/183.05 => ~ ! [B_a,B_A] : % 182.84/183.05 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2)) % 182.84/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_fold1Set_Oequations,axiom, % 182.84/183.05 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2)) % 182.84/183.05 <=> ? [B_a,B_A] : % 182.84/183.05 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A) % 182.84/183.05 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2)) % 182.84/183.05 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 182.84/183.05 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] : % 182.84/183.05 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2)) % 182.84/183.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.05 => ~ ! [B_y] : % 182.84/183.05 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 182.84/183.05 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UNIV__I,axiom, % 182.84/183.05 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUP1__I,axiom, % 182.84/183.05 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 182.84/183.05 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__I,axiom, % 182.84/183.05 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 182.84/183.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUP2__I,axiom, % 182.84/183.05 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 182.84/183.05 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UnionI,axiom, % 182.84/183.05 ! [V_A_2,V_C_2,V_X_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 182.84/183.05 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) % 182.84/183.05 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Sup__UNIV,axiom, % 182.84/183.05 ! [T_a] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.05 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUPR__apply,axiom, % 182.84/183.05 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.05 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__Plus__UNIV__iff,axiom, % 182.84/183.05 ! [T_b,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)))) % 182.84/183.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.84/183.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__option__UNIV,axiom, % 182.84/183.05 ! [T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)))) % 182.84/183.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__Prod__UNIV,axiom, % 182.84/183.05 ! [T_b,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 182.84/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__fun__UNIVD2,axiom, % 182.84/183.05 ! [T_b,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))) % 182.84/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_top__apply,axiom, % 182.84/183.05 ! [V_x_2,T_b,T_a] : % 182.84/183.05 ( class_Orderings_Otop(T_a) % 182.84/183.05 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUP__UN__eq,axiom, % 182.84/183.05 ! [V_x_2,V_r_2,T_b,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2)) % 182.84/183.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_image__Union,axiom, % 182.84/183.05 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Un__Union__image,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__Union2,axiom, % 182.84/183.05 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__Union,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_the__inv__f__f,axiom, % 182.84/183.05 ! [V_x_2,V_f_2,T_b,T_a] : % 182.84/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.05 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_SUP__commute,axiom, % 182.84/183.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] : % 182.84/183.05 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.05 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__UN,axiom, % 182.84/183.05 ! [V_B_2,T_b,V_A_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.05 <=> ! [B_x] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__o,axiom, % 182.84/183.05 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Union__empty,axiom, % 182.84/183.05 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__UnionD,axiom, % 182.84/183.05 ! [V_A_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) % 182.84/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Union__Un__distrib,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Un__eq__Union,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Union__insert,axiom, % 182.84/183.05 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_iso__tuple__UNIV__I,axiom, % 182.84/183.05 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UNIV__not__empty,axiom, % 182.84/183.05 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_finite__UNIV,axiom, % 182.84/183.05 ! [T_a] : % 182.84/183.05 ( class_Finite__Set_Ofinite(T_a) % 182.84/183.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Un__UNIV__left,axiom, % 182.84/183.05 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Un__UNIV__right,axiom, % 182.84/183.05 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__UNIV__left,axiom, % 182.84/183.05 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__UNIV__right,axiom, % 182.84/183.05 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 182.84/183.05 % 182.84/183.05 fof(fact_inj__eq,axiom, % 182.84/183.05 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 182.84/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.05 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 182.84/183.05 <=> V_x_2 = V_y_2 ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_injD,axiom, % 182.84/183.05 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 182.84/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.05 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 182.84/183.05 => V_x_2 = V_y_2 ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__iff,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.05 <=> ? [B_x] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.05 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UNION__empty__conv_I1_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_b,T_a] : % 182.84/183.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) % 182.84/183.05 <=> ! [B_x] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.05 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__empty2,axiom, % 182.84/183.05 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__constant,axiom, % 182.84/183.05 ! [V_ca_2,T_b,T_a,V_A_2] : % 182.84/183.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.05 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.05 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UNION__empty__conv_I2_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_a,T_b] : % 182.84/183.05 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.05 <=> ! [B_x] : % 182.84/183.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.05 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__simps_I10_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_image__UN,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__extend__simps_I10_J,axiom, % 182.84/183.05 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__Un,axiom, % 182.84/183.05 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__Un__distrib,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__UN__distrib2,axiom, % 182.84/183.05 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__extend__simps_I4_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Int__UN__distrib,axiom, % 182.84/183.05 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__extend__simps_I5_J,axiom, % 182.84/183.05 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__simps_I4_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__simps_I5_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__extend__simps_I6_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_UN__simps_I6_J,axiom, % 182.84/183.05 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 182.84/183.05 % 182.84/183.05 fof(fact_Inter__empty,axiom, % 182.84/183.05 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.05 % 182.84/183.05 fof(fact_setsum__addf,axiom, % 182.84/183.05 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 182.84/183.05 ( class_Groups_Ocomm__monoid__add(T_a) % 182.84/183.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_range__composition,axiom, % 182.84/183.05 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 182.84/183.05 % 182.84/183.05 fof(fact_inj__fun,axiom, % 182.84/183.05 ! [T_c,V_f_2,T_b,T_a] : % 182.84/183.05 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.05 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_sup__top__right,axiom, % 182.84/183.05 ! [V_x,T_a] : % 182.84/183.05 ( class_Lattices_Obounded__lattice__top(T_a) % 182.84/183.05 => 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) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_sup__top__left,axiom, % 182.84/183.05 ! [V_x,T_a] : % 182.84/183.05 ( class_Lattices_Obounded__lattice__top(T_a) % 182.84/183.05 => 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) ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_inf__top__left,axiom, % 182.84/183.05 ! [V_x,T_a] : % 182.84/183.05 ( class_Lattices_Obounded__lattice__top(T_a) % 182.84/183.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 182.84/183.05 % 182.84/183.05 fof(fact_inf__top__right,axiom, % 182.84/183.05 ! [V_x,T_a] : % 182.84/183.06 ( class_Lattices_Obounded__lattice__top(T_a) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inf__eq__top__iff,axiom, % 182.84/183.06 ! [V_y_2,V_x_2,T_a] : % 182.84/183.06 ( class_Lattices_Obounded__lattice__top(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a) % 182.84/183.06 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a) % 182.84/183.06 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Union__disjoint,axiom, % 182.84/183.06 ! [V_A_2,V_C_2,T_a] : % 182.84/183.06 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_rangeI,axiom, % 182.84/183.06 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_range__eqI,axiom, % 182.84/183.06 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] : % 182.84/183.06 ( V_b_2 = hAPP(V_f_2,V_x_2) % 182.84/183.06 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_SUP__const,axiom, % 182.84/183.06 ! [V_M_2,T_a,V_A_2,T_b] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__insert__distrib,axiom, % 182.84/183.06 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__absorb,axiom, % 182.84/183.06 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I1_J,axiom, % 182.84/183.06 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__singleton,axiom, % 182.84/183.06 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I1_J,axiom, % 182.84/183.06 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Diff__UNIV,axiom, % 182.84/183.06 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comp__surj,axiom, % 182.84/183.06 ! [V_g_2,T_c,V_f_2,T_a,T_b] : % 182.84/183.06 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 182.84/183.06 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,T_b,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I2_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I3_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I2_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I3_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__insert,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__image__eq__iff,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2) % 182.84/183.06 <=> V_A_2 = V_B_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__comp,axiom, % 182.84/183.06 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 182.84/183.06 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inf__UNIV,axiom, % 182.84/183.06 ! [T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inter__UNIV,axiom, % 182.84/183.06 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum_Odistrib,axiom, % 182.84/183.06 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__singleton,axiom, % 182.84/183.06 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__range__imageI,axiom, % 182.84/183.06 ! [V_f_2,T_c,V_g_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__empty,axiom, % 182.84/183.06 ! [T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__singleton,axiom, % 182.84/183.06 ! [V_a_2,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__insert,axiom, % 182.84/183.06 ! [V_A_2,V_a_2,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_image__eq__UN,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_range__ex1__eq,axiom, % 182.84/183.06 ! [V_b_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) % 182.84/183.06 <=> ? [B_x] : % 182.84/183.06 ( V_b_2 = hAPP(V_f_2,B_x) % 182.84/183.06 & ! [B_y] : % 182.84/183.06 ( V_b_2 = hAPP(V_f_2,B_y) % 182.84/183.06 => B_y = B_x ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__image__mem__iff,axiom, % 182.84/183.06 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.84/183.06 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__UNIV__inj__surj,axiom, % 182.84/183.06 ! [V_f_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__UNIV__surj__inj,axiom, % 182.84/183.06 ! [V_f_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.84/183.06 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inf__empty,axiom, % 182.84/183.06 ! [T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_image__Int,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_image__set__diff,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.06 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_the__inv__into__f__eq,axiom, % 182.84/183.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_the__inv__into__f__f,axiom, % 182.84/183.06 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__on__the__inv__into,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_the__inv__into__onto,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__insert,axiom, % 182.84/183.06 ! [V_f_2,V_a_2,V_F_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_F_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_F_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum_Oinsert,axiom, % 182.84/183.06 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__Un__Int,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_the__inv__into__def,axiom, % 182.84/183.06 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__binary,axiom, % 182.84/183.06 ! [V_b_2,V_a_2,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_sup__Sup__fold__sup,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__fin__Sup,axiom, % 182.84/183.06 ! [V_A_2,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum_Oinsert__remove,axiom, % 182.84/183.06 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__Un__disjoint,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_f__the__inv__into__f,axiom, % 182.84/183.06 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.84/183.06 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__Un,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Oab__group__add(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_sup__SUPR__fold__sup,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__Un__nat,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,V_A_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__diff__cancel,axiom, % 182.84/183.06 ! [V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Ogroup__add(T_a) % 182.84/183.06 => 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 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__add__cancel,axiom, % 182.84/183.06 ! [V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Ogroup__add(T_a) % 182.84/183.06 => 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 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INFI__fold__inf,axiom, % 182.84/183.06 ! [V_f_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__on__Inter,axiom, % 182.84/183.06 ! [V_f_2,T_b,T_a,V_S_2] : % 182.84/183.06 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 182.84/183.06 => ( ! [B_A] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2)) % 182.84/183.06 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) ) % 182.84/183.06 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_insert__partition,axiom, % 182.84/183.06 ! [V_F_2,V_x_2,T_a] : % 182.84/183.06 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)) % 182.84/183.06 => ( ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))) % 182.84/183.06 => ! [B_xa] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))) % 182.84/183.06 => ( B_x != B_xa % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__reindex,axiom, % 182.84/183.06 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_c) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__graph__permute__diff,axiom, % 182.84/183.06 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2)) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_InterI,axiom, % 182.84/183.06 ! [V_A_2,V_C_2,T_a] : % 182.84/183.06 ( ! [B_X] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) ) % 182.84/183.06 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__reindex__cong,axiom, % 182.84/183.06 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__add(T_c) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 182.84/183.06 => ( ! [B_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 182.84/183.06 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inf__INFI__fold__inf,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_top1I,axiom, % 182.84/183.06 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__D,axiom, % 182.84/183.06 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__E,axiom, % 182.84/183.06 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) % 182.84/183.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF1__D,axiom, % 182.84/183.06 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF1__E,axiom, % 182.84/183.06 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 182.84/183.06 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF2__D,axiom, % 182.84/183.06 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF2__E,axiom, % 182.84/183.06 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 182.84/183.06 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__INT,axiom, % 182.84/183.06 ! [V_A_2,T_b,V_I_2,T_a] : % 182.84/183.06 ( ? [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2)) % 182.84/183.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) ) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Union__image__eq,axiom, % 182.84/183.06 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UNION__eq__Union__image,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Union__UNIV,axiom, % 182.84/183.06 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Union__def,axiom, % 182.84/183.06 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I8_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I8_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I9_J,axiom, % 182.84/183.06 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I9_J,axiom, % 182.84/183.06 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I8_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I8_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_ball__UN,axiom, % 182.84/183.06 ! [V_P_2,V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.06 => hBOOL(hAPP(V_P_2,B_x)) ) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.06 => ! [B_xa] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x))) % 182.84/183.06 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I9_J,axiom, % 182.84/183.06 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I9_J,axiom, % 182.84/183.06 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__UN__flatten,axiom, % 182.84/183.06 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_SUP1__iff,axiom, % 182.84/183.06 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 182.84/183.06 <=> ? [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.06 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_SUP2__iff,axiom, % 182.84/183.06 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 182.84/183.06 <=> ? [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.06 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult__left__idem,axiom, % 182.84/183.06 ! [V_b,V_a,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult__idem,axiom, % 182.84/183.06 ! [V_x,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_times_Oidem,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INFI__apply,axiom, % 182.84/183.06 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF__commute,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__iff,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF__INT__eq,axiom, % 182.84/183.06 ! [V_x_2,V_r_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2)) % 182.84/183.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__constant,axiom, % 182.84/183.06 ! [V_ca_2,T_b,T_a,V_A_2] : % 182.84/183.06 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__empty,axiom, % 182.84/183.06 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I5_J,axiom, % 182.84/183.06 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I5_J,axiom, % 182.84/183.06 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I10_J,axiom, % 182.84/183.06 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I10_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I7_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I6_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I7_J,axiom, % 182.84/183.06 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Un__INT__distrib,axiom, % 182.84/183.06 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I6_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Un__INT__distrib2,axiom, % 182.84/183.06 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__Int__distrib,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__simps_I7_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_UN__extend__simps_I7_J,axiom, % 182.84/183.06 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fun__left__comm,axiom, % 182.84/183.06 ! [T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fun__left__comm__idem,axiom, % 182.84/183.06 ! [T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INTER__eq__Inter__image,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inter__image__eq,axiom, % 182.84/183.06 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inter__def,axiom, % 182.84/183.06 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__product,axiom, % 182.84/183.06 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( class_Rings_Osemiring__0(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__left__distrib,axiom, % 182.84/183.06 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( class_Rings_Osemiring__0(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setsum__right__distrib,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] : % 182.84/183.06 ( class_Rings_Osemiring__0(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__insert__distrib,axiom, % 182.84/183.06 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__absorb,axiom, % 182.84/183.06 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF__const,axiom, % 182.84/183.06 ! [V_M_2,T_a,V_A_2,T_b] : % 182.84/183.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I2_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I1_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I2_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I1_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__insert,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I3_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I3_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__extend__simps_I4_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__simps_I4_J,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 182.84/183.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.84/183.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INT__Un,axiom, % 182.84/183.06 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Int__Inter__image,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Un__Inter,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__graph__insert__swap,axiom, % 182.84/183.06 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__add(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__left__cancel,axiom, % 182.84/183.06 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 182.84/183.06 ( class_Groups_Ocancel__semigroup__add(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2) % 182.84/183.06 <=> V_b_2 = V_ca_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__right__cancel,axiom, % 182.84/183.06 ! [V_ca_2,V_a_2,V_b_2,T_a] : % 182.84/183.06 ( class_Groups_Ocancel__semigroup__add(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2) % 182.84/183.06 <=> V_b_2 = V_ca_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__left__imp__eq,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Ocancel__semigroup__add(T_a) % 182.84/183.06 => ( 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) % 182.84/183.06 => V_b = V_c ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__imp__eq,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 182.84/183.06 => ( 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) % 182.84/183.06 => V_b = V_c ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__right__imp__eq,axiom, % 182.84/183.06 ! [V_c,V_a,V_b,T_a] : % 182.84/183.06 ( class_Groups_Ocancel__semigroup__add(T_a) % 182.84/183.06 => ( 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) % 182.84/183.06 => V_b = V_c ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__eq__diff__eq,axiom, % 182.84/183.06 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__group__add(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 182.84/183.06 => ( V_a_2 = V_b_2 % 182.84/183.06 <=> V_ca_2 = V_d_2 ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__insert,axiom, % 182.84/183.06 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_eq__add__iff1,axiom, % 182.84/183.06 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.84/183.06 ( class_Rings_Oring(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2) % 182.84/183.06 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_eq__add__iff2,axiom, % 182.84/183.06 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.84/183.06 ( class_Rings_Oring(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2) % 182.84/183.06 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__Union,axiom, % 182.84/183.06 ! [V_A_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) % 182.84/183.06 => ( ! [B_M] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) ) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__add__inverse2,axiom, % 182.84/183.06 ! [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 ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__add__inverse,axiom, % 182.84/183.06 ! [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 ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__diff__left,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__cancel,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__cancel2,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 182.84/183.06 ! [V_z,V_y,V_x,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF1__iff,axiom, % 182.84/183.06 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_INF2__iff,axiom, % 182.84/183.06 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 182.84/183.06 ! [V_d,V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 182.84/183.06 ! [V_d,V_c,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 182.84/183.06 ! [V_d,V_c,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 182.84/183.06 ! [V_c,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 182.84/183.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 182.84/183.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 182.84/183.06 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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))) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 182.84/183.06 ! [V_rx,V_ly,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 182.84/183.06 ! [V_rx,V_ly,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 182.84/183.06 ! [V_ry,V_rx,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 182.84/183.06 ! [V_ry,V_rx,V_lx,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 182.84/183.06 ! [V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__add__commute,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__add__left__commute,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__mult__distrib2,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__add__assoc,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_add__mult__distrib,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__add__left__cancel,axiom, % 182.84/183.06 ! [V_n_2,V_m_2,V_k_2] : % 182.84/183.06 ( 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) % 182.84/183.06 <=> V_m_2 = V_n_2 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__add__right__cancel,axiom, % 182.84/183.06 ! [V_n_2,V_k_2,V_m_2] : % 182.84/183.06 ( 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) % 182.84/183.06 <=> V_m_2 = V_n_2 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__commute,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__mult__distrib,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_diff__mult__distrib2,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__on__add__nat,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_crossproduct__eq,axiom, % 182.84/183.06 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] : % 182.84/183.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 182.84/183.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) % 182.84/183.06 <=> ( V_w_2 = V_x_2 % 182.84/183.06 | V_y_2 = V_z_2 ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_combine__common__factor,axiom, % 182.84/183.06 ! [V_c,V_b,V_e,V_a,T_a] : % 182.84/183.06 ( class_Rings_Osemiring(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 182.84/183.06 ! [V_b,V_m,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__class_Odistrib,axiom, % 182.84/183.06 ! [V_c,V_b,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring(T_a) % 182.84/183.06 => 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)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_crossproduct__noteq,axiom, % 182.84/183.06 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.84/183.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 182.84/183.06 => ( ( V_a_2 != V_b_2 % 182.84/183.06 & V_ca_2 != V_d_2 ) % 182.84/183.06 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__Un__disjoint,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__eq__fold,axiom, % 182.84/183.06 ! [V_a_2,V_A_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__Un,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_inj__on__INTER,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] : % 182.84/183.06 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( ! [B_i] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2)) % 182.84/183.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) ) % 182.84/183.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__insert,axiom, % 182.84/183.06 ! [V_x_2,V_A_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_finite__UN__I,axiom, % 182.84/183.06 ! [V_B_2,T_b,V_A_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ! [B_a] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) ) % 182.84/183.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oremove,axiom, % 182.84/183.06 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__Un__Int,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__cong,axiom, % 182.84/183.06 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.06 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__mult__1,axiom, % 182.84/183.06 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__1__eq__mult__iff,axiom, % 182.84/183.06 ! [V_n_2,V_m_2] : % 182.84/183.06 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 182.84/183.06 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.84/183.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__mult__1__right,axiom, % 182.84/183.06 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__mult__commute,axiom, % 182.84/183.06 ! [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) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__mult__eq__1__iff,axiom, % 182.84/183.06 ! [V_n_2,V_m_2] : % 182.84/183.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.84/183.06 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.84/183.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_nat__mult__assoc,axiom, % 182.84/183.06 ! [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)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__empty,axiom, % 182.84/183.06 ! [V_f_2,T_b,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oempty,axiom, % 182.84/183.06 ! [V_g_2,T_b,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__1,axiom, % 182.84/183.06 ! [V_A_2,T_b,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__eq__1__iff,axiom, % 182.84/183.06 ! [V_f_2,V_F_2,T_a] : % 182.84/183.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.84/183.06 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.84/183.06 <=> ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2)) % 182.84/183.06 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_one__reorient,axiom, % 182.84/183.06 ! [V_x_2,T_a] : % 182.84/183.06 ( class_Groups_Oone(T_a) % 182.84/183.06 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2 % 182.84/183.06 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__infinite,axiom, % 182.84/183.06 ! [V_f_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oinfinite,axiom, % 182.84/183.06 ! [V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__delta_H,axiom, % 182.84/183.06 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 182.84/183.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__delta,axiom, % 182.84/183.06 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 182.84/183.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult__1__left,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Groups_Omonoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult__1,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult__1__right,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Groups_Omonoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_mult_Ocomm__neutral,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 182.84/183.06 ! [V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__timesf,axiom, % 182.84/183.06 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_OF__eq,axiom, % 182.84/183.06 ! [V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) % 182.84/183.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oeq__fold,axiom, % 182.84/183.06 ! [V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 182.84/183.06 ! [V_m,V_a,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 182.84/183.06 ! [V_a,V_m,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 182.84/183.06 ! [V_m,T_a] : % 182.84/183.06 ( class_Rings_Ocomm__semiring__1(T_a) % 182.84/183.06 => 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) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Odistrib,axiom, % 182.84/183.06 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__singleton__def,axiom, % 182.84/183.06 ! [V_a_2,V_f_2,T_a,V_g_2] : % 182.84/183.06 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2) % 182.84/183.06 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__singleton,axiom, % 182.84/183.06 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__reindex,axiom, % 182.84/183.06 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_c) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__reindex__cong,axiom, % 182.84/183.06 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_c) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.06 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 182.84/183.06 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_folding__one_Oeq__fold,axiom, % 182.84/183.06 ! [V_A_2,V_F_2,V_f_2,T_a] : % 182.84/183.06 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__def,axiom, % 182.84/183.06 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__insert,axiom, % 182.84/183.06 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oinsert,axiom, % 182.84/183.06 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Ounion__inter,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__Un__Int,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__distrib,axiom, % 182.84/183.06 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oreindex,axiom, % 182.84/183.06 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Sup__fin_OF__eq,axiom, % 182.84/183.06 ! [V_A_2,T_a] : % 182.84/183.06 ( class_Lattices_Olattice(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_Inf__fin_OF__eq,axiom, % 182.84/183.06 ! [V_A_2,T_a] : % 182.84/183.06 ( class_Lattices_Olattice(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Oinsert__remove,axiom, % 182.84/183.06 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod__Un__disjoint,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_setprod_Ounion__disjoint,axiom, % 182.84/183.06 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__insert__idem,axiom, % 182.84/183.06 ! [V_x_2,V_A_2,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__Un2,axiom, % 182.84/183.06 ! [V_B_2,V_A_2,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.06 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__eq__fold__idem,axiom, % 182.84/183.06 ! [V_a_2,V_A_2,T_a] : % 182.84/183.06 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_semilattice__big_OF__eq,axiom, % 182.84/183.06 ! [V_A_2,V_F_2,V_f_2,T_a] : % 182.84/183.06 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_F_2) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.06 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold__image__Un__one,axiom, % 182.84/183.06 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 182.84/183.06 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.84/183.06 => ( ! [B_x] : % 182.84/183.06 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 182.84/183.06 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.84/183.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ). % 182.84/183.06 % 182.84/183.06 fof(fact_fold1__in,axiom, % 182.84/183.06 ! [V_A_2,T_a] : % 182.84/183.06 ( class_Groups_Oab__semigroup__mult(T_a) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.07 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_setprod_Ounion__inter__neutral,axiom, % 182.84/183.07 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.07 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.07 => ( ! [B_x] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.07 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.84/183.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_setprod__Un__one,axiom, % 182.84/183.07 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 182.84/183.07 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.84/183.07 => ( ! [B_x] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 182.84/183.07 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.84/183.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_left__add__mult__distrib,axiom, % 182.84/183.07 ! [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) ). % 182.84/183.07 % 182.84/183.07 fof(fact_hom__fold1__commute,axiom, % 182.84/183.07 ! [V_N_2,V_h_2,T_a] : % 182.84/183.07 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 182.84/183.07 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.84/183.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.07 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_strong__setprod__reindex__cong,axiom, % 182.84/183.07 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 182.84/183.07 ( class_Groups_Ocomm__monoid__mult(T_c) % 182.84/183.07 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.07 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 182.84/183.07 => ( ! [B_x] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.84/183.07 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) ) % 182.84/183.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff__singleton__if,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 182.84/183.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__UNIV__unit,axiom, % 182.84/183.07 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) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__eq__setsum,axiom, % 182.84/183.07 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 182.84/183.07 ! [V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.84/183.07 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.84/183.07 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__image,axiom, % 182.84/183.07 ! [V_A_2,V_f_2,T_b,T_a] : % 182.84/183.07 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_inj__on__iff__eq__card,axiom, % 182.84/183.07 ! [V_f_2,T_b,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.84/183.07 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_eq__card__imp__inj__on,axiom, % 182.84/183.07 ! [V_f_2,T_b,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) % 182.84/183.07 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card_Oinsert,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Un__Int,axiom, % 182.84/183.07 ! [V_B_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card_Ounion__inter,axiom, % 182.84/183.07 ! [V_B_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff__subset__Int,axiom, % 182.84/183.07 ! [V_B_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff__insert,axiom, % 182.84/183.07 ! [V_B_2,V_a_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card_Oinsert__remove,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Un__disjoint,axiom, % 182.84/183.07 ! [V_B_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.84/183.07 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card_Oremove,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff__singleton,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_setprod__gen__delta,axiom, % 182.84/183.07 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_a,T_b] : % 182.84/183.07 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.07 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 182.84/183.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.84/183.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff1__less,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff2__less,axiom, % 182.84/183.07 ! [V_y_2,V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Suc__Diff1,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.84/183.07 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Diff1__le,axiom, % 182.84/183.07 ! [V_x_2,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__partition,axiom, % 182.84/183.07 ! [V_k_2,V_C_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 182.84/183.07 => ( ! [B_c] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 ) % 182.84/183.07 => ( ! [B_c1] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2)) % 182.84/183.07 => ! [B_c2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2)) % 182.84/183.07 => ( B_c1 != B_c2 % 182.84/183.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 182.84/183.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_fold__image__1,axiom, % 182.84/183.07 ! [V_f_2,V_S_2,T_a,T_b] : % 182.84/183.07 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.84/183.07 => ( ! [B_x] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.84/183.07 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.84/183.07 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_card__Plus,axiom, % 182.84/183.07 ! [V_B_2,T_b,V_A_2,T_a] : % 182.84/183.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.84/183.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.84/183.07 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__refl,axiom, % 182.84/183.07 ! [V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__mono,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_lessI,axiom, % 182.84/183.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__iff__Suc__add,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__add__Suc2,axiom, % 182.84/183.07 ! [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)))) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__add__Suc1,axiom, % 182.84/183.07 ! [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)))) ). % 182.84/183.07 % 182.84/183.07 fof(fact_INF__subset,axiom, % 182.84/183.07 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.84/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_diff__less__Suc,axiom, % 182.84/183.07 ! [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))) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__diff__le,axiom, % 182.84/183.07 ! [V_m,V_n] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.84/183.07 => 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)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_diff__less__mono,axiom, % 182.84/183.07 ! [V_c,V_b,V_a] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 182.84/183.07 => 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))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__diff__iff,axiom, % 182.84/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 182.84/183.07 => ( 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))) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_nat__less__cases,axiom, % 182.84/183.07 ! [V_P_2,V_n_2,V_m_2] : % 182.84/183.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 182.84/183.07 => ( ( V_m_2 = V_n_2 % 182.84/183.07 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 182.84/183.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 182.84/183.07 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__or__eq__imp__le,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 | V_m = V_n ) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__less__SucD,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__inject,axiom, % 182.84/183.07 ! [V_y,V_x] : % 182.84/183.07 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 182.84/183.07 => V_x = V_y ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__leD,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__le__lessD,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__lessD,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__SucE,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__SucE,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => V_m = V_n ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__trans__Suc,axiom, % 182.84/183.07 ! [V_k,V_j,V_i] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__antisym,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.84/183.07 => V_m = V_n ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__trans,axiom, % 182.84/183.07 ! [V_k,V_j,V_i] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__lessI,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__neq__implies__less,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => ( V_m != V_n % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__less__Suc__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 182.84/183.07 <=> V_n_2 = V_m_2 ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__leI,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__SucI,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__imp__less__Suc,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__SucI,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__imp__le__nat,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_eq__imp__le,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( V_m = V_n % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__not__refl3,axiom, % 182.84/183.07 ! [V_t,V_s] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 182.84/183.07 => V_s != V_t ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__not__refl2,axiom, % 182.84/183.07 ! [V_m,V_n] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 182.84/183.07 => V_m != V_n ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__irrefl__nat,axiom, % 182.84/183.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 182.84/183.07 % 182.84/183.07 fof(fact_linorder__neqE__linordered__idom,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Rings_Olinordered__idom(T_a) % 182.84/183.07 => ( V_x != V_y % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_linorder__neqE__nat,axiom, % 182.84/183.07 ! [V_y,V_x] : % 182.84/183.07 ( V_x != V_y % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__antisym,axiom, % 182.84/183.07 ! [V_m,V_n] : % 182.84/183.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 182.84/183.07 => V_m = V_n ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_not__less__less__Suc__eq,axiom, % 182.84/183.07 ! [V_m_2,V_n_2] : % 182.84/183.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 182.84/183.07 <=> V_n_2 = V_m_2 ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__eq__Suc__le__raw,axiom, % 182.84/183.07 ! [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)) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__le__mono,axiom, % 182.84/183.07 ! [V_m_2,V_n_2] : % 182.84/183.07 ( 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))) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__less__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( 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))) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_nat_Oinject,axiom, % 182.84/183.07 ! [V_nat_H_2,V_nat_2] : % 182.84/183.07 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 182.84/183.07 <=> V_nat_2 = V_nat_H_2 ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__le__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__Suc__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 182.84/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__Suc__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 182.84/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 | V_m_2 = V_n_2 ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__Suc__eq__le,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__eq__less__or__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 | V_m_2 = V_n_2 ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_nat__less__le,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 & V_m_2 != V_n_2 ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__eq__Suc__le,axiom, % 182.84/183.07 ! [V_m_2,V_n_2] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_nat__le__linear,axiom, % 182.84/183.07 ! [V_n,V_m] : % 182.84/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.84/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_nat__neq__iff,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( V_m_2 != V_n_2 % 182.84/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_not__less__eq__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_not__less__eq,axiom, % 182.84/183.07 ! [V_n_2,V_m_2] : % 182.84/183.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.84/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__refl,axiom, % 182.84/183.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__n__not__le__n,axiom, % 182.84/183.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 182.84/183.07 % 182.84/183.07 fof(fact_Suc__n__not__n,axiom, % 182.84/183.07 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 182.84/183.07 % 182.84/183.07 fof(fact_n__not__Suc__n,axiom, % 182.84/183.07 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 182.84/183.07 % 182.84/183.07 fof(fact_less__not__refl,axiom, % 182.84/183.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 182.84/183.07 % 182.84/183.07 fof(fact_linorder__cases,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Olinorder(T_a) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.84/183.07 => ( V_x != V_y % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_linorder__le__cases,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Olinorder(T_a) % 182.84/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_le__funE,axiom, % 182.84/183.07 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 182.84/183.07 ( class_Orderings_Oord(T_b) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__less__asym,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.84/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I6_J,axiom, % 182.84/183.07 ! [V_z,V_x,V_y,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I5_J,axiom, % 182.84/183.07 ! [V_x,V_y,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.84/183.07 => V_x = V_y ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I8_J,axiom, % 182.84/183.07 ! [V_z,V_x,V_y,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__trans,axiom, % 182.84/183.07 ! [V_z,V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__antisym,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.84/183.07 => V_x = V_y ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__le__less__trans,axiom, % 182.84/183.07 ! [V_z,V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I4_J,axiom, % 182.84/183.07 ! [V_c,V_a,V_b,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.84/183.07 => ( V_b = V_c % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_ord__le__eq__trans,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oord(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.84/183.07 => ( V_b = V_c % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I7_J,axiom, % 182.84/183.07 ! [V_z,V_x,V_y,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I10_J,axiom, % 182.84/183.07 ! [V_z,V_x,V_y,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__less__le__trans,axiom, % 182.84/183.07 ! [V_z,V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__less__trans,axiom, % 182.84/183.07 ! [V_z,V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I2_J,axiom, % 182.84/183.07 ! [V_c,V_a,V_b,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.84/183.07 => ( V_b = V_c % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_ord__less__eq__trans,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oord(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.84/183.07 => ( V_b = V_c % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I3_J,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( V_a = V_b % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_ord__eq__le__trans,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oord(T_a) % 182.84/183.07 => ( V_a = V_b % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I1_J,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( V_a = V_b % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_ord__eq__less__trans,axiom, % 182.84/183.07 ! [V_c,V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oord(T_a) % 182.84/183.07 => ( V_a = V_b % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I9_J,axiom, % 182.84/183.07 ! [V_a,V_b,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.84/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__less__asym_H,axiom, % 182.84/183.07 ! [V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Opreorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.84/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_xt1_I11_J,axiom, % 182.84/183.07 ! [V_a,V_b,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.84/183.07 => ( V_a != V_b % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__le__neq__trans,axiom, % 182.84/183.07 ! [V_b,V_a,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.84/183.07 => ( V_a != V_b % 182.84/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__antisym__conv,axiom, % 182.84/183.07 ! [V_x_2,V_y_2,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.84/183.07 <=> V_x_2 = V_y_2 ) ) ) ). % 182.84/183.07 % 182.84/183.07 fof(fact_order__le__imp__less__or__eq,axiom, % 182.84/183.07 ! [V_y,V_x,T_a] : % 182.84/183.07 ( class_Orderings_Oorder(T_a) % 182.84/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 | V_x = V_y ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__imp__not__eq2,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => V_y != V_x ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__imp__not__eq,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => V_x != V_y ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__funD,axiom, % 182.90/183.07 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 182.90/183.07 ( class_Orderings_Oord(T_b) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__antisym__conv2,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> V_x_2 = V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__imp__not__less,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__imp__le,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__eq__refl,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ( V_x = V_y % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_leD,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__not__sym,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__imp__neq,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => V_x != V_y ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__neqE,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( V_x != V_y % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_xt1_I12_J,axiom, % 182.90/183.07 ! [V_b,V_a,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( V_a != V_b % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__neq__le__trans,axiom, % 182.90/183.07 ! [V_b,V_a,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( V_a != V_b % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__antisym__conv1,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> V_x_2 = V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__antisym__conv3,axiom, % 182.90/183.07 ! [V_x_2,V_y_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> V_x_2 = V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_not__leE,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_leI,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__less__linear,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.07 | V_x = V_y % 182.90/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__le__less,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 | V_x_2 = V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__eq__iff,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( V_x_2 = V_y_2 % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__le__not__le,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__le,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Oorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 & V_x_2 != V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__linear,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__le__less__linear,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__fun__def,axiom, % 182.90/183.07 ! [V_g_2,V_f_2,T_a,T_b] : % 182.90/183.07 ( class_Orderings_Oord(T_b) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 182.90/183.07 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_not__less__iff__gr__or__eq,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) % 182.90/183.07 | V_x_2 = V_y_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__neq__iff,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( V_x_2 != V_y_2 % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__not__le,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_linorder__not__less,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Orderings_Olinorder(T_a) % 182.90/183.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_order__less__irrefl,axiom, % 182.90/183.07 ! [V_x,T_a] : % 182.90/183.07 ( class_Orderings_Opreorder(T_a) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__le__mono,axiom, % 182.90/183.07 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__less__mono,axiom, % 182.90/183.07 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_SUP__subset,axiom, % 182.90/183.07 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.90/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Suc__mult__le__cancel1,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( 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))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Suc__mult__less__cancel1,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( 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))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 182.90/183.07 ! [V_q,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 182.90/183.07 ! [V_q,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 182.90/183.07 ! [V_q,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__Suc__diff__eq1,axiom, % 182.90/183.07 ! [V_m,V_j,V_k] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__Suc__diff__eq2,axiom, % 182.90/183.07 ! [V_m,V_j,V_k] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 182.90/183.07 ! [V_q,V_y,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 182.90/183.07 ! [V_q,V_p,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__cancel__right,axiom, % 182.90/183.07 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__cancel__left,axiom, % 182.90/183.07 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__strict__right__mono,axiom, % 182.90/183.07 ! [V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__strict__left__mono,axiom, % 182.90/183.07 ! [V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__strict__mono,axiom, % 182.90/183.07 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__imp__less__right,axiom, % 182.90/183.07 ! [V_b,V_c,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( 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))) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__imp__less__left,axiom, % 182.90/183.07 ! [V_b,V_a,V_c,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( 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))) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__cancel__right,axiom, % 182.90/183.07 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__cancel__left,axiom, % 182.90/183.07 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__right__mono,axiom, % 182.90/183.07 ! [V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__left__mono,axiom, % 182.90/183.07 ! [V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__mono,axiom, % 182.90/183.07 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__imp__le__right,axiom, % 182.90/183.07 ! [V_b,V_c,V_a,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( 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))) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__imp__le__left,axiom, % 182.90/183.07 ! [V_b,V_a,V_c,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.07 => ( 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))) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__eq__diff__less,axiom, % 182.90/183.07 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__group__add(T_a) % 182.90/183.07 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_bot__least,axiom, % 182.90/183.07 ! [V_x,T_a] : % 182.90/183.07 ( class_Orderings_Obot(T_a) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__Suc__shift,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__Suc,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__Suc__right,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__eq__diff__less__eq,axiom, % 182.90/183.07 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.07 ( class_Groups_Oordered__ab__group__add(T_a) % 182.90/183.07 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__supI1,axiom, % 182.90/183.07 ! [V_b,V_a,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__supI2,axiom, % 182.90/183.07 ! [V_a,V_b,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 182.90/183.07 ! [V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__infI2,axiom, % 182.90/183.07 ! [V_a,V_x,V_b,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 182.90/183.07 => 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)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__infI1,axiom, % 182.90/183.07 ! [V_b,V_x,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 182.90/183.07 => 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)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__sup__ord_I3_J,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__ge1,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__sup__ord_I4_J,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__ge2,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__iff__sup,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__sup__iff,axiom, % 182.90/183.07 ! [V_z_2,V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2)) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__supI1,axiom, % 182.90/183.07 ! [V_b,V_a,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__supI2,axiom, % 182.90/183.07 ! [V_a,V_b,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__absorb2,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__absorb1,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.90/183.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__supI,axiom, % 182.90/183.07 ! [V_b,V_x,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 182.90/183.07 => 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)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__least,axiom, % 182.90/183.07 ! [V_z,V_x,V_y,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 182.90/183.07 => 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)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_sup__mono,axiom, % 182.90/183.07 ! [V_d,V_b,V_c,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__supE,axiom, % 182.90/183.07 ! [V_x,V_b,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.07 => ( 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)) % 182.90/183.07 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__infE,axiom, % 182.90/183.07 ! [V_b,V_a,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( 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))) % 182.90/183.07 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__mono,axiom, % 182.90/183.07 ! [V_d,V_b,V_c,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__greatest,axiom, % 182.90/183.07 ! [V_z,V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__infI,axiom, % 182.90/183.07 ! [V_b,V_a,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__absorb2,axiom, % 182.90/183.07 ! [V_x,V_y,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 182.90/183.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__absorb1,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__infI2,axiom, % 182.90/183.07 ! [V_a,V_x,V_b,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 182.90/183.07 => 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)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__infI1,axiom, % 182.90/183.07 ! [V_b,V_x,V_a,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 182.90/183.07 => 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)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__inf__iff,axiom, % 182.90/183.07 ! [V_z_2,V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))) % 182.90/183.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__iff__inf,axiom, % 182.90/183.07 ! [V_y_2,V_x_2,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 182.90/183.07 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__le2,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__sup__ord_I2_J,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__le1,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inf__sup__ord_I1_J,axiom, % 182.90/183.07 ! [V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_top__greatest,axiom, % 182.90/183.07 ! [V_x,T_a] : % 182.90/183.07 ( class_Orderings_Otop(T_a) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__Suc__Suc,axiom, % 182.90/183.07 ! [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) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Suc__diff__diff,axiom, % 182.90/183.07 ! [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) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Suc__mult__cancel1,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( 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) % 182.90/183.07 <=> V_m_2 = V_n_2 ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__lessD1,axiom, % 182.90/183.07 ! [V_k,V_j,V_i] : % 182.90/183.07 ( 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)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__add__eq__less,axiom, % 182.90/183.07 ! [V_n,V_m,V_l,V_k] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 182.90/183.07 => ( 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) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__mono,axiom, % 182.90/183.07 ! [V_l,V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__less__mono1,axiom, % 182.90/183.07 ! [V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_trans__less__add2,axiom, % 182.90/183.07 ! [V_m,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_trans__less__add1,axiom, % 182.90/183.07 ! [V_m,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_nat__add__left__cancel__less,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( 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))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_not__add__less2,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_not__add__less1,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__leE,axiom, % 182.90/183.07 ! [V_n,V_k,V_m] : % 182.90/183.07 ( 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)) % 182.90/183.07 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__leD1,axiom, % 182.90/183.07 ! [V_n,V_k,V_m] : % 182.90/183.07 ( 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)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__leD2,axiom, % 182.90/183.07 ! [V_n,V_k,V_m] : % 182.90/183.07 ( 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)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__mono,axiom, % 182.90/183.07 ! [V_l,V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_add__le__mono1,axiom, % 182.90/183.07 ! [V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_trans__le__add2,axiom, % 182.90/183.07 ! [V_m,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_trans__le__add1,axiom, % 182.90/183.07 ! [V_m,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_nat__add__left__cancel__le,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( 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))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__iff__add,axiom, % 182.90/183.07 ! [V_n_2,V_m_2] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.07 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__add1,axiom, % 182.90/183.07 ! [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))) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__add2,axiom, % 182.90/183.07 ! [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))) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__imp__diff__less,axiom, % 182.90/183.07 ! [V_n,V_k,V_j] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__less__mono2,axiom, % 182.90/183.07 ! [V_l,V_n,V_m] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__le__self,axiom, % 182.90/183.07 ! [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)) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__le__mono2,axiom, % 182.90/183.07 ! [V_l,V_n,V_m] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__le__mono,axiom, % 182.90/183.07 ! [V_l,V_n,V_m] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_diff__diff__cancel,axiom, % 182.90/183.07 ! [V_n,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 182.90/183.07 => 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 ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_eq__diff__iff,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 182.90/183.07 => ( 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) % 182.90/183.07 <=> V_m_2 = V_n_2 ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Nat_Odiff__diff__eq,axiom, % 182.90/183.07 ! [V_n,V_m,V_k] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 182.90/183.07 => 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) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__diff__iff,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 182.90/183.07 => ( 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))) % 182.90/183.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__square,axiom, % 182.90/183.07 ! [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))) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__cube,axiom, % 182.90/183.07 ! [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)))) ). % 182.90/183.07 % 182.90/183.07 fof(fact_mult__le__mono1,axiom, % 182.90/183.07 ! [V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_mult__le__mono2,axiom, % 182.90/183.07 ! [V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => 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))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_mult__le__mono,axiom, % 182.90/183.07 ! [V_l,V_k,V_j,V_i] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 182.90/183.07 => 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__Sup__iff,axiom, % 182.90/183.07 ! [V_S_2,V_a_2,T_a] : % 182.90/183.07 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 & class_Orderings_Olinorder(T_a) ) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2))) % 182.90/183.07 <=> ? [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Sup__le__iff,axiom, % 182.90/183.07 ! [V_b_2,V_A_2,T_a] : % 182.90/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2)) % 182.90/183.07 <=> ! [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_Inf__less__iff,axiom, % 182.90/183.07 ! [V_a_2,V_S_2,T_a] : % 182.90/183.07 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 & class_Orderings_Olinorder(T_a) ) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2)) % 182.90/183.07 <=> ? [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__Inf__iff,axiom, % 182.90/183.07 ! [V_A_2,V_b_2,T_a] : % 182.90/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2))) % 182.90/183.07 <=> ! [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_nat__less__add__iff2,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 182.90/183.07 => ( 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))) % 182.90/183.07 <=> 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))) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_nat__less__add__iff1,axiom, % 182.90/183.07 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 182.90/183.07 => ( 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))) % 182.90/183.07 <=> 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)) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__SUP__iff,axiom, % 182.90/183.07 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] : % 182.90/183.07 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 & class_Orderings_Olinorder(T_a) ) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2))) % 182.90/183.07 <=> ? [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_SUP__le__iff,axiom, % 182.90/183.07 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] : % 182.90/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2)) % 182.90/183.07 <=> ! [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_INF__less__iff,axiom, % 182.90/183.07 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] : % 182.90/183.07 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 & class_Orderings_Olinorder(T_a) ) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2)) % 182.90/183.07 <=> ? [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.90/183.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_le__INF__iff,axiom, % 182.90/183.07 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] : % 182.90/183.07 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2))) % 182.90/183.07 <=> ! [B_x] : % 182.90/183.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 182.90/183.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_inj__Suc,axiom, % 182.90/183.07 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 182.90/183.07 % 182.90/183.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 182.90/183.07 ! [V_q,V_p,V_x,T_a] : % 182.90/183.07 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.07 => 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)) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__add__one,axiom, % 182.90/183.07 ! [V_a,T_a] : % 182.90/183.07 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.07 => 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)))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_less__1__mult,axiom, % 182.90/183.07 ! [V_n,V_m,T_a] : % 182.90/183.07 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 182.90/183.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 182.90/183.07 => 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))) ) ) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_distrib__inf__le,axiom, % 182.90/183.07 ! [V_z,V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.07 => 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)))) ) ). % 182.90/183.07 % 182.90/183.07 fof(fact_distrib__sup__le,axiom, % 182.90/183.07 ! [V_z,V_y,V_x,T_a] : % 182.90/183.07 ( class_Lattices_Olattice(T_a) % 182.90/183.08 => 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)))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__Suc,axiom, % 182.90/183.08 ! [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)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__Suc__right,axiom, % 182.90/183.08 ! [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)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Sup__upper,axiom, % 182.90/183.08 ! [V_A_2,V_x_2,T_a] : % 182.90/183.08 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__Suc__1,axiom, % 182.90/183.08 ! [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 ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__diff__inverse,axiom, % 182.90/183.08 ! [V_n,V_m] : % 182.90/183.08 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.08 => 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 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__diff__conv,axiom, % 182.90/183.08 ! [V_k_2,V_j_2,V_i_2] : % 182.90/183.08 ( 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))) % 182.90/183.08 <=> 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__add__assoc2,axiom, % 182.90/183.08 ! [V_i,V_j,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__diff__assoc2,axiom, % 182.90/183.08 ! [V_i,V_j,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__add__assoc,axiom, % 182.90/183.08 ! [V_i,V_j,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__imp__diff__is__add,axiom, % 182.90/183.08 ! [V_k_2,V_j_2,V_i_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 182.90/183.08 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__add__diff__inverse2,axiom, % 182.90/183.08 ! [V_m,V_n] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.08 => 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 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__diff__conv2,axiom, % 182.90/183.08 ! [V_i_2,V_j_2,V_k_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 182.90/183.08 => ( 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))) % 182.90/183.08 <=> 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)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__diff__assoc,axiom, % 182.90/183.08 ! [V_i,V_j,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__add__diff__inverse,axiom, % 182.90/183.08 ! [V_m,V_n] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.08 => 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 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__add__diff,axiom, % 182.90/183.08 ! [V_m,V_n,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 182.90/183.08 => 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))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__diff__conv,axiom, % 182.90/183.08 ! [V_i_2,V_k_2,V_j_2] : % 182.90/183.08 ( 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)) % 182.90/183.08 <=> 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))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__diff__right,axiom, % 182.90/183.08 ! [V_i,V_j,V_k] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inf__lower,axiom, % 182.90/183.08 ! [V_A_2,V_x_2,T_a] : % 182.90/183.08 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__SUPI,axiom, % 182.90/183.08 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] : % 182.90/183.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_INF__leI,axiom, % 182.90/183.08 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] : % 182.90/183.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__add__iff1,axiom, % 182.90/183.08 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__add__iff2,axiom, % 182.90/183.08 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__add__iff1,axiom, % 182.90/183.08 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__add__iff2,axiom, % 182.90/183.08 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__insert__le,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__image__le,axiom, % 182.90/183.08 ! [V_f_2,T_b,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__eq__add__iff2,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 182.90/183.08 => ( 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) % 182.90/183.08 <=> 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) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__diff__add__eq2,axiom, % 182.90/183.08 ! [V_n,V_m,V_u,V_j,V_i] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__le__add__iff2,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 182.90/183.08 => ( 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))) % 182.90/183.08 <=> 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))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__eq__add__iff1,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 182.90/183.08 => ( 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) % 182.90/183.08 <=> 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 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__diff__add__eq1,axiom, % 182.90/183.08 ! [V_n,V_m,V_u,V_i,V_j] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__le__add__iff1,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 182.90/183.08 => ( 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))) % 182.90/183.08 <=> 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)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_pigeonhole,axiom, % 182.90/183.08 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 182.90/183.08 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_setprod__constant,axiom, % 182.90/183.08 ! [V_y_2,V_A_2,T_a,T_b] : % 182.90/183.08 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__insert__disjoint,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__insert__if,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) % 182.90/183.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_sup__le__fold__sup,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Osemilattice__sup(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_fold__inf__le__inf,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_fold1__belowI,axiom, % 182.90/183.08 ! [V_a_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_below__fold1__iff,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Osemilattice__inf(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2))) % 182.90/183.08 <=> ! [B_x] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__card__le__card__Diff,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inf__le__Sup,axiom, % 182.90/183.08 ! [V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Olattice(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__Plus__iff,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 182.90/183.08 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__Plus,axiom, % 182.90/183.08 ! [V_B_2,T_b,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__PlusD_I1_J,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__PlusD_I2_J,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__insert,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__increasing__iff,axiom, % 182.90/183.08 ! [V_y_2,V_x_2,V_b_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__le__imp__le__exp,axiom, % 182.90/183.08 ! [V_n,V_m,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => ( 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))) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_UNIV__Plus__UNIV,axiom, % 182.90/183.08 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__increasing,axiom, % 182.90/183.08 ! [V_a,V_N,V_n,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__strict__increasing__iff,axiom, % 182.90/183.08 ! [V_y_2,V_x_2,V_b_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__less__imp__less__exp,axiom, % 182.90/183.08 ! [V_n,V_m,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => ( 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))) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__strict__increasing,axiom, % 182.90/183.08 ! [V_a,V_N,V_n,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__gt1,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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)))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_equalityI,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => V_A_2 = V_B_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subsetD,axiom, % 182.90/183.08 ! [V_ca_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_empty__subsetI,axiom, % 182.90/183.08 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_predicate1D,axiom, % 182.90/183.08 ! [V_x_2,V_Q_2,V_P_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2)) % 182.90/183.08 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 182.90/183.08 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_rev__predicate1D,axiom, % 182.90/183.08 ! [V_Q_2,T_a,V_x_2,V_P_2] : % 182.90/183.08 ( hBOOL(hAPP(V_P_2,V_x_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2)) % 182.90/183.08 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_equalityE,axiom, % 182.90/183.08 ! [T_a,V_B_2,V_A_2] : % 182.90/183.08 ( V_A_2 = V_B_2 % 182.90/183.08 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__trans,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__psubset__trans,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__subset__trans,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__imp__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_equalityD2,axiom, % 182.90/183.08 ! [T_a,V_B_2,V_A_2] : % 182.90/183.08 ( V_A_2 = V_B_2 % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_equalityD1,axiom, % 182.90/183.08 ! [T_a,V_B_2,V_A_2] : % 182.90/183.08 ( V_A_2 = V_B_2 % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__iff__psubset__eq,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 | V_A_2 = V_B_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_set__eq__subset,axiom, % 182.90/183.08 ! [T_a,V_B_2,V_A_2] : % 182.90/183.08 ( V_A_2 = V_B_2 % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__eq,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 & V_A_2 != V_B_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__refl,axiom, % 182.90/183.08 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__fun__def,axiom, % 182.90/183.08 ! [V_g_2,V_f_2,T_a,T_b] : % 182.90/183.08 ( class_Orderings_Oord(T_b) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 182.90/183.08 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Union__mono,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inter__anti__mono,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubsetD,axiom, % 182.90/183.08 ! [V_ca_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_in__mono,axiom, % 182.90/183.08 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_set__rev__mp,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_x_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_set__mp,axiom, % 182.90/183.08 ! [V_x_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_not__psubset__empty,axiom, % 182.90/183.08 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__empty,axiom, % 182.90/183.08 ! [V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 182.90/183.08 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_rev__finite__subset,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__insertI,axiom, % 182.90/183.08 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__insertI2,axiom, % 182.90/183.08 ! [V_b_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_insert__mono,axiom, % 182.90/183.08 ! [V_a_2,V_D_2,V_C_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__UNIV,axiom, % 182.90/183.08 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__image__iff,axiom, % 182.90/183.08 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 182.90/183.08 <=> ? [B_AA] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2)) % 182.90/183.08 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_image__mono,axiom, % 182.90/183.08 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__upper1,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__upper2,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__Un__eq,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__absorb1,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__absorb2,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__least,axiom, % 182.90/183.08 ! [V_B_2,V_C_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__mono,axiom, % 182.90/183.08 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__lower1,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__lower2,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__absorb2,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__absorb1,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__greatest,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_C_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Int__mono,axiom, % 182.90/183.08 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Diff__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Diff__mono,axiom, % 182.90/183.08 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_double__diff,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__inj__on,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_asm,axiom, % 182.90/183.08 ! [V_Ga_2,V_ts_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_Ga_2)) % 182.90/183.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_weaken,axiom, % 182.90/183.08 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_a] : % 182.90/183.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_H_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2)) % 182.90/183.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_thin,axiom, % 182.90/183.08 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] : % 182.90/183.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_Ga_2)) % 182.90/183.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__psubset,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_pred__subset__eq,axiom, % 182.90/183.08 ! [V_S_2,V_R_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_UN__subset__iff,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 182.90/183.08 <=> ! [B_x] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_INT__subset__iff,axiom, % 182.90/183.08 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))) % 182.90/183.08 <=> ! [B_x] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__insert__iff,axiom, % 182.90/183.08 ! [V_B_2,V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 182.90/183.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.90/183.08 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) ) % 182.90/183.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_insert__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_x_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2)) % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__insert,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_x_2,T_a] : % 182.90/183.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__singletonD,axiom, % 182.90/183.08 ! [V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 182.90/183.08 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__surj,axiom, % 182.90/183.08 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__on__strict__subset,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_image__Int__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Un__Int__assoc__eq,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_image__diff__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Diff__subset__conv,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Diff__partition,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Union__Int__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Union__upper,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inter__Un__subset,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inter__lower,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_UN__upper,axiom, % 182.90/183.08 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_INT__lower,axiom, % 182.90/183.08 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => 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) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__card__mono,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__surj__inj,axiom, % 182.90/183.08 ! [V_f_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2))) % 182.90/183.08 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_endo__inj__surj,axiom, % 182.90/183.08 ! [V_f_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2)) % 182.90/183.08 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) % 182.90/183.08 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__mono,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__seteq,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) % 182.90/183.08 => V_A_2 = V_B_2 ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__image__subset__iff,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__on__image__Int,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__on__image__set__diff,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_folding__one__idem_Osubset__idem,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 182.90/183.08 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => 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) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_subset__insert__iff,axiom, % 182.90/183.08 ! [V_B_2,V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) ) % 182.90/183.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__single__insert,axiom, % 182.90/183.08 ! [V_B_2,V_x_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_setsum__diff,axiom, % 182.90/183.08 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.90/183.08 ( class_Groups_Oab__group__add(T_b) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__bij__eq,axiom, % 182.90/183.08 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2)) % 182.90/183.08 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__Diff__subset,axiom, % 182.90/183.08 ! [V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Sup__fin_Osubset__idem,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Olattice(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Inf__fin_Osubset__idem,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_a] : % 182.90/183.08 ( class_Lattices_Olattice(T_a) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_setsum__diff__nat,axiom, % 182.90/183.08 ! [V_f_2,V_A_2,V_B_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 182.90/183.08 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_the__inv__into__into,axiom, % 182.90/183.08 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_card__inj__on__le,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__mult__distrib,axiom, % 182.90/183.08 ! [V_n,V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Ocomm__monoid__mult(T_a) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__commutes,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__one,axiom, % 182.90/183.08 ! [V_n,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__mult,axiom, % 182.90/183.08 ! [V_n,V_m,V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__one__right,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Plus__eq__empty__conv,axiom, % 182.90/183.08 ! [V_B_2,V_A_2,T_b,T_a] : % 182.90/183.08 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) % 182.90/183.08 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_one__le__power,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__inject__exp,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)) % 182.90/183.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) % 182.90/183.08 <=> V_m_2 = V_n_2 ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__Suc2,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__Suc,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Power_Opower(T_a) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__add,axiom, % 182.90/183.08 ! [V_n,V_m,V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__mult(T_a) % 182.90/183.08 => 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)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__gt1__lemma,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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)))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__less__power__Suc,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.08 => 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)))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__on__iff__card__le,axiom, % 182.90/183.08 ! [V_B_2,T_b,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 182.90/183.08 => ( ? [B_f] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) ) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_inj__on__iff__surj,axiom, % 182.90/183.08 ! [V_A_H_2,T_b,T_a,V_A_2] : % 182.90/183.08 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.08 => ( ? [B_f] : % 182.90/183.08 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) ) % 182.90/183.08 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__Suc__eq__diff__pred,axiom, % 182.90/183.08 ! [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) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Suc__eq__plus1__left,axiom, % 182.90/183.08 ! [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) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Suc__eq__plus1,axiom, % 182.90/183.08 ! [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)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Body__triple__valid__Suc,axiom, % 182.90/183.08 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_a] : % 182.90/183.08 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)) % 182.90/183.08 <=> c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_psubset__trans,axiom, % 182.90/183.08 ! [V_C_2,V_B_2,V_A_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_triple__valid__Suc,axiom, % 182.90/183.08 ! [V_t,V_n,T_a] : % 182.90/183.08 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 182.90/183.08 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__nat__set__iff__bounded,axiom, % 182.90/183.08 ! [V_N_2] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 182.90/183.08 <=> ? [B_m] : % 182.90/183.08 ! [B_x] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 182.90/183.08 ! [V_N_2] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 182.90/183.08 <=> ? [B_m] : % 182.90/183.08 ! [B_x] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_flat__lub__def,axiom, % 182.90/183.08 ! [V_b_2,V_A_2,T_a] : % 182.90/183.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 182.90/183.08 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 ) % 182.90/183.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 182.90/183.08 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__power__power,axiom, % 182.90/183.08 ! [T_a] : % 182.90/183.08 ( class_Power_Opower(T_a) % 182.90/183.08 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_finite__fun__UNIVD1,axiom, % 182.90/183.08 ! [T_b,T_a] : % 182.90/183.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))) % 182.90/183.08 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_ord_OatMost__iff,axiom, % 182.90/183.08 ! [V_k_2,V_less__eq_2,V_i_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_ord_OatLeast__iff,axiom, % 182.90/183.08 ! [V_k_2,V_less__eq_2,V_i_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_ord_OlessThan__iff,axiom, % 182.90/183.08 ! [V_k_2,V_less_2,V_i_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_ord_OgreaterThan__iff,axiom, % 182.90/183.08 ! [V_k_2,V_less_2,V_i_2,T_a] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__zeroE,axiom, % 182.90/183.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le0,axiom, % 182.90/183.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__less__Suc,axiom, % 182.90/183.08 ! [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))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_bot__nat__def,axiom, % 182.90/183.08 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.08 % 182.90/183.08 fof(fact_infinite__UNIV__nat,axiom, % 182.90/183.08 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__reorient,axiom, % 182.90/183.08 ! [V_x_2,T_a] : % 182.90/183.08 ( class_Groups_Ozero(T_a) % 182.90/183.08 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 % 182.90/183.08 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power_Opower_Opower__0,axiom, % 182.90/183.08 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__eq__0__iff,axiom, % 182.90/183.08 ! [V_n_2,V_a_2,T_a] : % 182.90/183.08 ( ( class_Power_Opower(T_a) % 182.90/183.08 & class_Rings_Omult__zero(T_a) % 182.90/183.08 & class_Rings_Ono__zero__divisors(T_a) % 182.90/183.08 & class_Rings_Ozero__neq__one(T_a) ) % 182.90/183.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__0__left,axiom, % 182.90/183.08 ! [V_n,T_a] : % 182.90/183.08 ( ( class_Power_Opower(T_a) % 182.90/183.08 & class_Rings_Osemiring__0(T_a) ) % 182.90/183.08 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 => 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) ) % 182.90/183.08 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 => 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) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__0__iff,axiom, % 182.90/183.08 ! [V_a_2,V_b_2,T_a] : % 182.90/183.08 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 182.90/183.08 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) % 182.90/183.08 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add_Ocomm__neutral,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__0__right,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_double__zero__sym,axiom, % 182.90/183.08 ! [V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.08 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) % 182.90/183.08 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__0,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__0__left,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Omonoid__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_divisors__zero,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Ono__zero__divisors(T_a) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_no__zero__divisors,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Ono__zero__divisors(T_a) % 182.90/183.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__eq__0__iff,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Oring__no__zero__divisors(T_a) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__zero__right,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Omult__zero(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__zero__left,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Omult__zero(T_a) % 182.90/183.08 => 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) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_right__minus__eq,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Ogroup__add(T_a) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 <=> V_a_2 = V_b_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_eq__iff__diff__eq__0,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Oab__group__add(T_a) % 182.90/183.08 => ( V_a_2 = V_b_2 % 182.90/183.08 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__self,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Ogroup__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__0__right,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Groups_Ogroup__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_one__neq__zero,axiom, % 182.90/183.08 ! [T_a] : % 182.90/183.08 ( class_Rings_Ozero__neq__one(T_a) % 182.90/183.08 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__neq__one,axiom, % 182.90/183.08 ! [T_a] : % 182.90/183.08 ( class_Rings_Ozero__neq__one(T_a) % 182.90/183.08 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__Suc__0,axiom, % 182.90/183.08 ! [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)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 182.90/183.08 ! [V_m_2,V_x_2] : % 182.90/183.08 ( 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)) % 182.90/183.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Zero__not__Suc,axiom, % 182.90/183.08 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat_Osimps_I2_J,axiom, % 182.90/183.08 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Suc__not__Zero,axiom, % 182.90/183.08 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat_Osimps_I3_J,axiom, % 182.90/183.08 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Zero__neq__Suc,axiom, % 182.90/183.08 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 182.90/183.08 % 182.90/183.08 fof(fact_Suc__neq__Zero,axiom, % 182.90/183.08 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.08 % 182.90/183.08 fof(fact_field__power__not__zero,axiom, % 182.90/183.08 ! [V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 182.90/183.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__zero__less__power__iff,axiom, % 182.90/183.08 ! [V_n_2,V_x_2] : % 182.90/183.08 ( 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))) % 182.90/183.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 182.90/183.08 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__power__less__imp__less,axiom, % 182.90/183.08 ! [V_n,V_m,V_i] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 182.90/183.08 => ( 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))) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_not__less0,axiom, % 182.90/183.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_neq0__conv,axiom, % 182.90/183.08 ! [V_n_2] : % 182.90/183.08 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__nat__zero__code,axiom, % 182.90/183.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 182.90/183.08 % 182.90/183.08 fof(fact_gr__implies__not0,axiom, % 182.90/183.08 ! [V_n,V_m] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.08 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_gr0I,axiom, % 182.90/183.08 ! [V_n] : % 182.90/183.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_plus__nat_Oadd__0,axiom, % 182.90/183.08 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 182.90/183.08 % 182.90/183.08 fof(fact_Nat_Oadd__0__right,axiom, % 182.90/183.08 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__is__0,axiom, % 182.90/183.08 ! [V_n_2,V_m_2] : % 182.90/183.08 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__eq__self__zero,axiom, % 182.90/183.08 ! [V_n,V_m] : % 182.90/183.08 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 182.90/183.08 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 182.90/183.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 182.90/183.08 % 182.90/183.08 fof(fact_le__0__eq,axiom, % 182.90/183.08 ! [V_n_2] : % 182.90/183.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 182.90/183.08 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diffs0__imp__equal,axiom, % 182.90/183.08 ! [V_n,V_m] : % 182.90/183.08 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 => V_m = V_n ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__self__eq__0,axiom, % 182.90/183.08 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.08 % 182.90/183.08 fof(fact_minus__nat_Odiff__0,axiom, % 182.90/183.08 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 182.90/183.08 % 182.90/183.08 fof(fact_diff__0__eq__0,axiom, % 182.90/183.08 ! [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) ). % 182.90/183.08 % 182.90/183.08 fof(fact_nat__mult__eq__cancel__disj,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.08 ( 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) % 182.90/183.08 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 | V_m_2 = V_n_2 ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__cancel2,axiom, % 182.90/183.08 ! [V_n_2,V_k_2,V_m_2] : % 182.90/183.08 ( 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) % 182.90/183.08 <=> ( V_m_2 = V_n_2 % 182.90/183.08 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__cancel1,axiom, % 182.90/183.08 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.08 ( 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) % 182.90/183.08 <=> ( V_m_2 = V_n_2 % 182.90/183.08 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__is__0,axiom, % 182.90/183.08 ! [V_n_2,V_m_2] : % 182.90/183.08 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.08 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__0__right,axiom, % 182.90/183.08 ! [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) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__0,axiom, % 182.90/183.08 ! [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) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__eq__imp__eq__base,axiom, % 182.90/183.08 ! [V_b,V_n,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( 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) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.08 => V_a = V_b ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_setsum__0,axiom, % 182.90/183.08 ! [V_A_2,T_b,T_a] : % 182.90/183.08 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.08 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_power__strict__mono,axiom, % 182.90/183.08 ! [V_n,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.08 => 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))) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__nonpos__nonpos,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__increasing2,axiom, % 182.90/183.08 ! [V_a,V_b,V_c,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__increasing,axiom, % 182.90/183.08 ! [V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__nonneg__eq__0__iff,axiom, % 182.90/183.08 ! [V_y_2,V_x_2,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2)) % 182.90/183.08 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.08 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__nonneg__nonneg,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 182.90/183.08 ! [V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 182.90/183.08 ! [V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__le__square,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring(T_a) % 182.90/183.08 => 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))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__le__mult__iff,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__le__0__iff,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__nonneg__nonneg,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__cancel__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__nonneg__nonpos,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__cancel__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__nonneg__nonpos2,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__cancel__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__nonpos__nonneg,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__cancel__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__nonpos__nonpos,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__right__mono,axiom, % 182.90/183.08 ! [V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__left__mono,axiom, % 182.90/183.08 ! [V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_comm__mult__left__mono,axiom, % 182.90/183.08 ! [V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__comm__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__right__mono__neg,axiom, % 182.90/183.08 ! [V_c,V_a,V_b,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__left__mono__neg,axiom, % 182.90/183.08 ! [V_c,V_a,V_b,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__mono_H,axiom, % 182.90/183.08 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => 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))) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__mono,axiom, % 182.90/183.08 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__semiring(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.08 => 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))) ) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_split__mult__pos__le,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__ring(T_a) % 182.90/183.08 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 182.90/183.08 => 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))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_split__mult__neg__le,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Oordered__cancel__semiring(T_a) % 182.90/183.08 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 182.90/183.08 => 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))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__neg__neg,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_add__pos__pos,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.08 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 182.90/183.08 ! [V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 182.90/183.08 ! [V_a_2,T_a] : % 182.90/183.08 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_pos__add__strict,axiom, % 182.90/183.08 ! [V_c,V_b,V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 182.90/183.08 => 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))) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_not__square__less__zero,axiom, % 182.90/183.08 ! [V_a,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring(T_a) % 182.90/183.08 => ~ 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))) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__less__cancel__right__disj,axiom, % 182.90/183.08 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__less__cancel__left__disj,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 182.90/183.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) % 182.90/183.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__less__cancel__left__pos,axiom, % 182.90/183.08 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.08 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 182.90/183.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ). % 182.90/183.08 % 182.90/183.08 fof(fact_mult__pos__pos,axiom, % 182.90/183.08 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__pos__neg,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__pos__neg2,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__mult__pos,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__mult__pos2,axiom, % 182.90/183.09 ! [V_a,V_b,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__cancel__left__neg,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__neg__pos,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__neg__neg,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__right__mono,axiom, % 182.90/183.09 ! [V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__left__mono,axiom, % 182.90/183.09 ! [V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_comm__mult__strict__left__mono,axiom, % 182.90/183.09 ! [V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__right__mono__neg,axiom, % 182.90/183.09 ! [V_c,V_a,V_b,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__left__mono__neg,axiom, % 182.90/183.09 ! [V_c,V_a,V_b,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_le__iff__diff__le__0,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Groups_Oordered__ab__group__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_less__iff__diff__less__0,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Groups_Oordered__ab__group__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__scale__eq__noteq,axiom, % 182.90/183.09 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 182.90/183.09 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 182.90/183.09 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => ( ( V_a = V_b % 182.90/183.09 & V_c != V_d ) % 182.90/183.09 => 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)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_sum__squares__eq__zero__iff,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_not__one__le__zero,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ~ 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__le__one,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_not__one__less__zero,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__one,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__mono,axiom, % 182.90/183.09 ! [V_n,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__le__power,axiom, % 182.90/183.09 ! [V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__power,axiom, % 182.90/183.09 ! [V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__empty,axiom, % 182.90/183.09 ! [V_f_2,T_b,T_a] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum_Oempty,axiom, % 182.90/183.09 ! [V_g_2,T_b,T_a] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__infinite,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum_Oinfinite,axiom, % 182.90/183.09 ! [V_g_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__0__Suc,axiom, % 182.90/183.09 ! [V_n,T_a] : % 182.90/183.09 ( ( class_Power_Opower(T_a) % 182.90/183.09 & class_Rings_Osemiring__0(T_a) ) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setprod__zero,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Rings_Ocomm__semiring__1(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( ? [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.09 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setprod__zero__iff,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( ( class_Rings_Ocomm__semiring__1(T_b) % 182.90/183.09 & class_Rings_Ono__zero__divisors(T_b) ) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) % 182.90/183.09 <=> ? [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.09 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_gr0__conv__Suc,axiom, % 182.90/183.09 ! [V_n_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 182.90/183.09 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_less__Suc0,axiom, % 182.90/183.09 ! [V_n_2] : % 182.90/183.09 ( 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)))) % 182.90/183.09 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_less__Suc__eq__0__disj,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 182.90/183.09 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 | ? [B_j] : % 182.90/183.09 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 182.90/183.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_one__is__add,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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) % 182.90/183.09 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.09 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.09 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__is__1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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)) % 182.90/183.09 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.09 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.09 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__gr__0,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 182.90/183.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__one__le__power,axiom, % 182.90/183.09 ! [V_n,V_i] : % 182.90/183.09 ( 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)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__0,axiom, % 182.90/183.09 ! [V_a,T_a] : % 182.90/183.09 ( class_Power_Opower(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 182.90/183.09 ! [V_x,T_a] : % 182.90/183.09 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card_Oempty,axiom, % 182.90/183.09 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__infinite,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__eq__1__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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)) % 182.90/183.09 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.09 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_diff__less,axiom, % 182.90/183.09 ! [V_m,V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 182.90/183.09 => 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)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__diff,axiom, % 182.90/183.09 ! [V_m_2,V_n_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__0__less__mult__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__cancel1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__cancel2,axiom, % 182.90/183.09 ! [V_n_2,V_k_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__mono1,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__mono2,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__mult__eq__cancel1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 => ( 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) % 182.90/183.09 <=> V_m_2 = V_n_2 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__mult__less__cancel1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 => ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_diff__add__0,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_diff__is__0__eq_H,axiom, % 182.90/183.09 ! [V_n,V_m] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_diff__is__0__eq,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_One__nat__def,axiom, % 182.90/183.09 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__eq__self__implies__10,axiom, % 182.90/183.09 ! [V_n,V_m] : % 182.90/183.09 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 182.90/183.09 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.90/183.09 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__eq__0__iff,axiom, % 182.90/183.09 ! [V_f_2,V_F_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.90/183.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 <=> ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2)) % 182.90/183.09 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power_Opower_Opower__Suc,axiom, % 182.90/183.09 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__nonpos__neg,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__neg__nonpos,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__strict__increasing2,axiom, % 182.90/183.09 ! [V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__strict__increasing,axiom, % 182.90/183.09 ! [V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__nonneg__pos,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__pos__nonneg,axiom, % 182.90/183.09 ! [V_b,V_a,T_a] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__le__cancel__left__pos,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__le__cancel__left__neg,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__mono,axiom, % 182.90/183.09 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__strict__mono_H,axiom, % 182.90/183.09 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__le__imp__less,axiom, % 182.90/183.09 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__le__less__imp__less,axiom, % 182.90/183.09 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => 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))) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__right__less__imp__less,axiom, % 182.90/183.09 ! [V_b,V_c,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__imp__less__right,axiom, % 182.90/183.09 ! [V_b,V_c,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__left__less__imp__less,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__less__imp__less__left,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__right__le__imp__le,axiom, % 182.90/183.09 ! [V_b,V_c,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__left__le__imp__le,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__strict(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_sum__squares__ge__zero,axiom, % 182.90/183.09 ! [V_y,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring(T_a) % 182.90/183.09 => 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)))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_sum__squares__le__zero__iff,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_not__sum__squares__lt__zero,axiom, % 182.90/183.09 ! [V_y,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring(T_a) % 182.90/183.09 => ~ 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_sum__squares__gt__zero__iff,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__ring__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))) % 182.90/183.09 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__left__le__one__le,axiom, % 182.90/183.09 ! [V_y,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__right__le__one__le,axiom, % 182.90/183.09 ! [V_y,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__two,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => 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)))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__less__imp__less__base,axiom, % 182.90/183.09 ! [V_b,V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__inject__base,axiom, % 182.90/183.09 ! [V_b,V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( 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)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => V_a = V_b ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__le__imp__le__base,axiom, % 182.90/183.09 ! [V_b,V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( 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)))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__eq__0__iff,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.09 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__ge__0__finite,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) % 182.90/183.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_diff__Suc__less,axiom, % 182.90/183.09 ! [V_i,V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Suc__pred,axiom, % 182.90/183.09 ! [V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => 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 ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_n__less__m__mult__n,axiom, % 182.90/183.09 ! [V_m,V_n] : % 182.90/183.09 ( 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)) % 182.90/183.09 => ( 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)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_n__less__n__mult__m,axiom, % 182.90/183.09 ! [V_m,V_n] : % 182.90/183.09 ( 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)) % 182.90/183.09 => ( 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)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_one__less__mult,axiom, % 182.90/183.09 ! [V_m,V_n] : % 182.90/183.09 ( 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)) % 182.90/183.09 => ( 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)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__diff__split,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_P_2] : % 182.90/183.09 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 182.90/183.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 182.90/183.09 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 182.90/183.09 & ! [B_d] : % 182.90/183.09 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 182.90/183.09 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__diff__split__asm,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_P_2] : % 182.90/183.09 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 182.90/183.09 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 182.90/183.09 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 182.90/183.09 | ? [B_d] : % 182.90/183.09 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 182.90/183.09 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_one__le__mult__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( 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)) % 182.90/183.09 & 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)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__le__cancel1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__le__cancel2,axiom, % 182.90/183.09 ! [V_n_2,V_k_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_nat__mult__le__cancel1,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_k_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 182.90/183.09 => ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__eq__if,axiom, % 182.90/183.09 ! [V_p,V_m] : % 182.90/183.09 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 182.90/183.09 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => 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)))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__eq__Suc0__iff,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.09 <=> ? [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.09 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 182.90/183.09 & ! [B_xa] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 182.90/183.09 => ( B_x != B_xa % 182.90/183.09 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__eq__1__iff,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.90/183.09 <=> ? [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.09 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 182.90/183.09 & ! [B_xa] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 182.90/183.09 => ( B_x != B_xa % 182.90/183.09 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__delta,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__delta_H,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setprod__pos__nat__iff,axiom, % 182.90/183.09 ! [V_f_2,V_S_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_S_2))) % 182.90/183.09 <=> ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Body__triple__valid__0,axiom, % 182.90/183.09 ! [V_Q_2,V_pn_2,V_P_2,T_a] : c_Hoare__Mirabelle_Otriple__valid(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_convex__bound__le,axiom, % 182.90/183.09 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__1(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 182.90/183.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 182.90/183.09 => 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)) ) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__Suc__less,axiom, % 182.90/183.09 ! [V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__Suc__less__one,axiom, % 182.90/183.09 ! [V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__strict__decreasing,axiom, % 182.90/183.09 ! [V_a,V_N,V_n,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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))) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_power__decreasing,axiom, % 182.90/183.09 ! [V_a,V_N,V_n,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.09 => 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))) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_one__less__power,axiom, % 182.90/183.09 ! [V_n,V_a,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => 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))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__gt__0__iff,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) % 182.90/183.09 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.09 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_finite__UNIV__card__ge__0,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum_Oeq__fold,axiom, % 182.90/183.09 ! [V_g_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum_OF__eq,axiom, % 182.90/183.09 ! [V_g_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Suc__diff__1,axiom, % 182.90/183.09 ! [V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => 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 ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Suc__pred_H,axiom, % 182.90/183.09 ! [V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add__eq__if,axiom, % 182.90/183.09 ! [V_n,V_m] : % 182.90/183.09 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 182.90/183.09 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => 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)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_mult__eq__if,axiom, % 182.90/183.09 ! [V_n,V_m] : % 182.90/183.09 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.09 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => 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)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__restrict__set,axiom, % 182.90/183.09 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__def,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card_Oeq__fold__g,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_convex__bound__lt,axiom, % 182.90/183.09 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 182.90/183.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 182.90/183.09 => 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)) ) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__Plus__conv__if,axiom, % 182.90/183.09 ! [V_B_2,T_b,V_A_2,T_a] : % 182.90/183.09 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) % 182.90/183.09 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_triple_Osize_I1_J,axiom, % 182.90/183.09 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.09 % 182.90/183.09 fof(fact_even__less__0__iff,axiom, % 182.90/183.09 ! [V_a_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_triple_Osize_I2_J,axiom, % 182.90/183.09 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card_Ounion__inter__neutral,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.09 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.90/183.09 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__mono2,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Oordered__comm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 => ( ! [B_b] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) ) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_arith__series__nat,axiom, % 182.90/183.09 ! [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)))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__Un__zero,axiom, % 182.90/183.09 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.90/183.09 => ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 182.90/183.09 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_finite__lessThan,axiom, % 182.90/183.09 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__lessThan,axiom, % 182.90/183.09 ! [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 ). % 182.90/183.09 % 182.90/183.09 fof(fact_UN__lessThan__UNIV,axiom, % 182.90/183.09 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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__eq__iff,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2) % 182.90/183.09 <=> V_x_2 = V_y_2 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__0,axiom, % 182.90/183.09 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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__Suc,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__lessThan__Suc,axiom, % 182.90/183.09 ! [V_n_2,V_f_2,T_a] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__iff,axiom, % 182.90/183.09 ! [V_k_2,V_i_2,T_a] : % 182.90/183.09 ( class_Orderings_Oord(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__subset__iff,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_lessThan__strict__subset__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zpower__zadd__distrib,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zpower__zpower,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_single__Diff__lessThan,axiom, % 182.90/183.09 ! [V_k_2,T_a] : % 182.90/183.09 ( class_Orderings_Oorder(T_a) % 182.90/183.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_double__eq__0__iff,axiom, % 182.90/183.09 ! [V_a_2,T_a] : % 182.90/183.09 ( class_Groups_Olinordered__ab__group__add(T_a) % 182.90/183.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__Pow,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_arith__series__general,axiom, % 182.90/183.09 ! [V_n_2,V_d_2,V_a_2,T_a] : % 182.90/183.09 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum_Ounion__inter__neutral,axiom, % 182.90/183.09 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.09 => ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.90/183.09 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__Suc__eq,axiom, % 182.90/183.09 ! [V_k_2,V_A_2,T_a] : % 182.90/183.09 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 182.90/183.09 <=> ? [B_b,B_B] : % 182.90/183.09 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B) % 182.90/183.09 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B)) % 182.90/183.09 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2 % 182.90/183.09 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.09 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__mono3,axiom, % 182.90/183.09 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] : % 182.90/183.09 ( ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.09 & class_Groups_Oordered__ab__semigroup__add(T_b) ) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 => ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__reindex__nonzero,axiom, % 182.90/183.09 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_c) % 182.90/183.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.09 => ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.90/183.09 => ! [B_y] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2)) % 182.90/183.09 => ( B_x != B_y % 182.90/183.09 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 182.90/183.09 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_PowI,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_pos__zmult__eq__1__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 182.90/183.09 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 182.90/183.09 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 182.90/183.09 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__zless__mono2,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__1__right,axiom, % 182.90/183.09 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__1,axiom, % 182.90/183.09 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__zmult__distrib,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__zmult__distrib2,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__commute,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__assoc,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiff__zmult__distrib,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiff__zmult__distrib2,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__eq__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,T_a] : % 182.90/183.09 ( class_Nat_Osemiring__char__0(T_a) % 182.90/183.09 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) % 182.90/183.09 <=> V_m_2 = V_n_2 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__0,axiom, % 182.90/183.09 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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__eq__0__conv,axiom, % 182.90/183.09 ! [V_n_2] : % 182.90/183.09 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.09 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__le__0__conv,axiom, % 182.90/183.09 ! [V_n_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__iff__Suc__zadd,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 182.90/183.09 <=> ? [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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__Suc,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__int,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__int__left,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__int,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__int,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__int,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__mult,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__1,axiom, % 182.90/183.09 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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_inj__int,axiom, % 182.90/183.09 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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__power,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zpower__int,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_image__Pow__surj,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : % 182.90/183.09 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2 % 182.90/183.09 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__top,axiom, % 182.90/183.09 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Union__Pow__eq,axiom, % 182.90/183.09 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__setsum,axiom, % 182.90/183.09 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Cantors__paradox,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__not__empty,axiom, % 182.90/183.09 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__INT__eq,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__setprod,axiom, % 182.90/183.09 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__Suc0__eq__1,axiom, % 182.90/183.09 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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zmult__zless__mono2__lemma,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__less__int__conv,axiom, % 182.90/183.09 ! [V_n_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__0__le__iff,axiom, % 182.90/183.09 ! [V_n,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__le__imp__of__nat,axiom, % 182.90/183.09 ! [V_m,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiff__int,axiom, % 182.90/183.09 ! [V_m,V_n] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__less__0__iff,axiom, % 182.90/183.09 ! [V_m,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ~ 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__0,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__less__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_less__imp__of__nat__less,axiom, % 182.90/183.09 ! [V_n,V_m,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__less__imp__less,axiom, % 182.90/183.09 ! [V_n,V_m,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( 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))) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__le__iff,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__add,axiom, % 182.90/183.09 ! [V_n,V_m,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__mult,axiom, % 182.90/183.09 ! [V_n,V_m,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__1,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__power,axiom, % 182.90/183.09 ! [V_n,V_m,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__bottom,axiom, % 182.90/183.09 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__iff,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_PowD,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__setsum,axiom, % 182.90/183.09 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_inj__of__nat,axiom, % 182.90/183.09 ! [T_a] : % 182.90/183.09 ( class_Nat_Osemiring__char__0(T_a) % 182.90/183.09 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__mono,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_finite__Pow__iff,axiom, % 182.90/183.09 ! [V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2))) % 182.90/183.09 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_subset__Pow__Union,axiom, % 182.90/183.09 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__setprod,axiom, % 182.90/183.09 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.09 ( ( class_Groups_Ocomm__monoid__mult(T_a) % 182.90/183.09 & class_Rings_Osemiring__1(T_a) ) % 182.90/183.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__Suc,axiom, % 182.90/183.09 ! [V_m,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__insert,axiom, % 182.90/183.09 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__UNIV,axiom, % 182.90/183.09 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__diff,axiom, % 182.90/183.09 ! [V_m,V_n,T_a] : % 182.90/183.09 ( class_Rings_Oring__1(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.09 => 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)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_UN__Pow__subset,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__Int__eq,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__constant,axiom, % 182.90/183.09 ! [V_A_2,V_y_2,T_b,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_image__Pow__mono,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__0__less__iff,axiom, % 182.90/183.09 ! [V_n_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__semidom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Pow__empty,axiom, % 182.90/183.09 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Un__Pow__subset,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 182.90/183.09 ! [V_n_2,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiff__int__split,axiom, % 182.90/183.09 ! [V_y_2,V_x_2,V_P_2] : % 182.90/183.09 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 182.90/183.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 182.90/183.09 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 182.90/183.09 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 182.90/183.09 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Powp__Pow__eq,axiom, % 182.90/183.09 ! [V_x_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2)) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__bounded,axiom, % 182.90/183.09 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.09 ( ( class_Groups_Oordered__ab__semigroup__add(T_b) % 182.90/183.09 & class_Rings_Osemiring__1(T_b) ) % 182.90/183.09 => ( ! [B_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) ) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))),V_K_2))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 182.90/183.09 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__less__0__conv,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zero__zle__int,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 182.90/183.09 ! [V_P_2] : % 182.90/183.09 ( ? [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.09 & hBOOL(hAPP(V_P_2,B_x)) ) % 182.90/183.09 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 182.90/183.09 ! [V_P_2] : % 182.90/183.09 ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.09 => hBOOL(hAPP(V_P_2,B_x)) ) % 182.90/183.09 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__int__eq,axiom, % 182.90/183.09 ! [V_n_2,V_m_2] : % 182.90/183.09 ( 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) % 182.90/183.09 <=> V_m_2 = V_n_2 ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__iff__zadd,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 182.90/183.09 <=> ? [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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 182.90/183.09 ! [V_B_2,V_A_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 <=> 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 182.90/183.09 ! [V_B_2,V_A_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 <=> 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 182.90/183.09 ! [V_B_2,V_A_2] : % 182.90/183.09 ( V_A_2 = V_B_2 % 182.90/183.09 <=> 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 182.90/183.09 ! [V_A_2,V_x_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 182.90/183.09 <=> 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 182.90/183.09 ! [V_y_2,V_x_2] : % 182.90/183.09 ( 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) % 182.90/183.09 <=> V_x_2 = V_y_2 ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__diff1__eq,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( 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)))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__add1__eq__le,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( 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)))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__add1__eq,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( 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)))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 182.90/183.09 | V_w_2 = V_z_2 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_add1__zle__eq,axiom, % 182.90/183.09 ! [V_z_2,V_w_2] : % 182.90/183.09 ( 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)) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__imp__add1__zle,axiom, % 182.90/183.09 ! [V_z,V_w] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 182.90/183.09 => 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)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__refl,axiom, % 182.90/183.09 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__linear,axiom, % 182.90/183.09 ! [V_w,V_z] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 182.90/183.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__le,axiom, % 182.90/183.09 ! [V_w_2,V_z_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 182.90/183.09 & V_z_2 != V_w_2 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zless__linear,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 182.90/183.09 | V_x = V_y % 182.90/183.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__trans,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zle__antisym,axiom, % 182.90/183.09 ! [V_w,V_z] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 182.90/183.09 => V_z = V_w ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__strict__right__mono,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__left__mono,axiom, % 182.90/183.09 ! [V_k,V_j,V_i] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__zless__mono,axiom, % 182.90/183.09 ! [V_z,V_z_H,V_w,V_w_H] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__assoc,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__left__commute,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__commute,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__0__neq__1,axiom, % 182.90/183.09 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 182.90/183.09 % 182.90/183.09 fof(fact_odd__nonzero,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__0,axiom, % 182.90/183.09 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 182.90/183.09 % 182.90/183.09 fof(fact_zadd__0__right,axiom, % 182.90/183.09 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_less__bin__lemma,axiom, % 182.90/183.09 ! [V_l_2,V_k_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 182.90/183.09 <=> 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 182.90/183.09 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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_le__imp__0__less,axiom, % 182.90/183.09 ! [V_z] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_odd__less__0,axiom, % 182.90/183.09 ! [V_z_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__one__le__iff__zero__less,axiom, % 182.90/183.09 ! [V_z_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 182.90/183.09 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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__0__less__1,axiom, % 182.90/183.09 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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 182.90/183.09 ! [V_i_2,V_inc_2,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 182.90/183.09 ! [V_i_2,V_n_2,V_inc_2,T_a] : % 182.90/183.09 ( class_Rings_Osemiring__1(T_a) % 182.90/183.09 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 182.90/183.09 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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 182.90/183.09 ! [V_y_2,V_x_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 182.90/183.09 ! [V_y_2,V_x_2] : % 182.90/183.09 ( 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))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 182.90/183.09 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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 182.90/183.09 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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 182.90/183.09 ! [V_n,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 182.90/183.09 ! [V_A_2] : % 182.90/183.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 182.90/183.09 <=> 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Powp__mono,axiom, % 182.90/183.09 ! [V_B_2,V_A_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_self__quotient__aux1,axiom, % 182.90/183.09 ! [V_q,V_r,V_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.09 => ( 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)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_self__quotient__aux2,axiom, % 182.90/183.09 ! [V_q,V_r,V_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.09 => ( 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)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_q__pos__lemma,axiom, % 182.90/183.09 ! [V_r_H,V_q_H,V_b_H] : % 182.90/183.09 ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_q__neg__lemma,axiom, % 182.90/183.09 ! [V_r_H,V_q_H,V_b_H] : % 182.90/183.09 ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_unique__quotient__lemma,axiom, % 182.90/183.09 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 182.90/183.09 ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiv__mono2__lemma,axiom, % 182.90/183.09 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 182.90/183.09 ( 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) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_infinite__UNIV__int,axiom, % 182.90/183.09 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiv__mono2__neg__lemma,axiom, % 182.90/183.09 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 182.90/183.09 ( 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) % 182.90/183.09 => ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_unique__quotient__lemma__neg,axiom, % 182.90/183.09 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 182.90/183.09 ( 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))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_ord_OatLeastLessThan__iff,axiom, % 182.90/183.09 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 182.90/183.09 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_ord_OatLeastAtMost__iff,axiom, % 182.90/183.09 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2))) % 182.90/183.09 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_tsub__def,axiom, % 182.90/183.09 ! [V_x,V_y] : % 182.90/183.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 182.90/183.09 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 182.90/183.09 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_termination__basic__simps_I4_J,axiom, % 182.90/183.09 ! [V_y,V_z,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_termination__basic__simps_I3_J,axiom, % 182.90/183.09 ! [V_z,V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_comp__cong,axiom, % 182.90/183.09 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 182.90/183.09 ( 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)) % 182.90/183.09 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_tsub__eq,axiom, % 182.90/183.09 ! [V_x,V_y] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 182.90/183.09 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_termination__basic__simps_I1_J,axiom, % 182.90/183.09 ! [V_z,V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_termination__basic__simps_I2_J,axiom, % 182.90/183.09 ! [V_y,V_z,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_termination__basic__simps_I5_J,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 182.90/183.09 ! [V_x_2,V_y_2,V_ca_2] : % 182.90/183.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 182.90/183.09 => 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)) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 182.90/183.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 182.90/183.09 => 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))) ) % 182.90/183.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 182.90/183.09 => 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)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Ints__odd__less__0,axiom, % 182.90/183.09 ! [V_a_2,T_a] : % 182.90/183.09 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_int__power__div__base,axiom, % 182.90/183.09 ! [V_k,V_m] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 182.90/183.09 => 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)))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_image__INT,axiom, % 182.90/183.09 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] : % 182.90/183.09 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 182.90/183.09 => ( ! [B_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 182.90/183.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2)) % 182.90/183.09 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_com_Osize_I4_J,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_com_Osize_I5_J,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_finite__atLeastLessThan,axiom, % 182.90/183.09 ! [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))) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiv__zero,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__0,axiom, % 182.90/183.09 ! [V_a,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__by__0,axiom, % 182.90/183.09 ! [V_a,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => 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) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__by__1,axiom, % 182.90/183.09 ! [V_a,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 182.90/183.09 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 182.90/183.09 => V_b_2 = V_d_2 ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 182.90/183.09 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 182.90/183.09 => V_a_2 = V_ca_2 ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__eq__iff,axiom, % 182.90/183.09 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 182.90/183.09 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 182.90/183.09 <=> ( V_a_2 = V_ca_2 % 182.90/183.09 & V_b_2 = V_d_2 ) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 182.90/183.09 ! [V_y,V_x] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 182.90/183.09 ! [V_a_2,V_b_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 182.90/183.09 ! [V_a_2,V_b_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__neg__pos__less0,axiom, % 182.90/183.09 ! [V_b,V_a] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.09 => 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))) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__add__Un,axiom, % 182.90/183.09 ! [V_k_2,V_j_2,V_i_2] : % 182.90/183.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 182.90/183.09 => 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))) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_zdiv__self,axiom, % 182.90/183.09 ! [V_a] : % 182.90/183.09 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan0,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeast0LessThan,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__mult__mult1,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__mult__mult2,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__mult__self1__is__id,axiom, % 182.90/183.09 ! [V_a,V_b,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__mult__self2__is__id,axiom, % 182.90/183.09 ! [V_a,V_b,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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 ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__mult__mult1__if,axiom, % 182.90/183.09 ! [V_b,V_a,V_c,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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) ) % 182.90/183.09 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => 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) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_div__self,axiom, % 182.90/183.09 ! [V_a,T_a] : % 182.90/183.09 ( class_Divides_Osemiring__div(T_a) % 182.90/183.09 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_card__atLeastLessThan,axiom, % 182.90/183.09 ! [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) ). % 182.90/183.09 % 182.90/183.09 fof(fact_image__Suc__atLeastLessThan,axiom, % 182.90/183.09 ! [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)) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__empty,axiom, % 182.90/183.09 ! [V_a_2,V_b_2,T_a] : % 182.90/183.09 ( class_Orderings_Oorder(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) % 182.90/183.09 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__empty__iff2,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Oorder(T_a) % 182.90/183.09 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) % 182.90/183.09 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__empty__iff,axiom, % 182.90/183.09 ! [V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Oorder(T_a) % 182.90/183.09 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.09 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_atLeastLessThan__subset__iff,axiom, % 182.90/183.09 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.09 ( class_Orderings_Olinorder(T_a) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2))) % 182.90/183.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) % 182.90/183.09 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 182.90/183.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ). % 182.90/183.09 % 182.90/183.09 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 182.90/183.09 ! [V_n_2,V_m_2,V_f_2,T_a] : % 182.90/183.09 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 182.90/183.09 % 182.90/183.10 fof(fact_ivl__disj__un_I17_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 182.90/183.10 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__diff,axiom, % 182.90/183.10 ! [V_m_2,V_n_2,V_i_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I11_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__add__atLeastLessThan,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__0,axiom, % 182.90/183.10 ! [T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__eq__0__iff,axiom, % 182.90/183.10 ! [V_k_2,V_i_2] : % 182.90/183.10 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.10 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 182.90/183.10 ! [V_a_2,V_b_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 182.90/183.10 ! [V_i_2,V_k_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 182.90/183.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__mono2,axiom, % 182.90/183.10 ! [V_b,V_b_H,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__nonneg__neg__le0,axiom, % 182.90/183.10 ! [V_b,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__pos__pos__trivial,axiom, % 182.90/183.10 ! [V_b,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 182.90/183.10 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 182.90/183.10 ! [V_a_2,V_b_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__nonpos__pos__le0,axiom, % 182.90/183.10 ! [V_b,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__mono2__neg,axiom, % 182.90/183.10 ! [V_b,V_b_H,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__neg__neg__trivial,axiom, % 182.90/183.10 ! [V_b,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 182.90/183.10 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__mono1,axiom, % 182.90/183.10 ! [V_b,V_a_H,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__mono1__neg,axiom, % 182.90/183.10 ! [V_b,V_a_H,V_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__add,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__mult,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__diff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_int__div__less__self,axiom, % 182.90/183.10 ! [V_k,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__zmult2__eq,axiom, % 182.90/183.10 ! [V_b,V_a,V_c] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__1,axiom, % 182.90/183.10 ! [T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__of__nat,axiom, % 182.90/183.10 ! [V_n_2,T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__power,axiom, % 182.90/183.10 ! [V_n_2,V_a_2,T_a] : % 182.90/183.10 ( class_Rings_Oring__1(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__add__nat__ivl,axiom, % 182.90/183.10 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 182.90/183.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__diff__nat__ivl,axiom, % 182.90/183.10 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Oab__group__add(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 182.90/183.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__mult__self1,axiom, % 182.90/183.10 ! [V_c,V_a,V_b,T_a] : % 182.90/183.10 ( class_Divides_Osemiring__div(T_a) % 182.90/183.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__mult__self2,axiom, % 182.90/183.10 ! [V_c,V_a,V_b,T_a] : % 182.90/183.10 ( class_Divides_Osemiring__div(T_a) % 182.90/183.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__add__self2,axiom, % 182.90/183.10 ! [V_a,V_b,T_a] : % 182.90/183.10 ( class_Divides_Osemiring__div(T_a) % 182.90/183.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__add__self1,axiom, % 182.90/183.10 ! [V_a,V_b,T_a] : % 182.90/183.10 ( class_Divides_Osemiring__div(T_a) % 182.90/183.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastLessThan__singleton,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I7_J,axiom, % 182.90/183.10 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.10 % 182.90/183.10 fof(fact_UN__UN__finite__eq,axiom, % 182.90/183.10 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I1_J,axiom, % 182.90/183.10 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I8_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_subset__card__intvl__is__intvl,axiom, % 182.90/183.10 ! [V_k_2,V_A_2] : % 182.90/183.10 ( 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))))) % 182.90/183.10 => 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))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I2_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 182.90/183.10 ! [V_k_2,V_f_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__head__upt__Suc,axiom, % 182.90/183.10 ! [V_f_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__double__eq__0__iff,axiom, % 182.90/183.10 ! [V_a_2,T_a] : % 182.90/183.10 ( class_Int_Oring__char__0(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastLessThanSuc,axiom, % 182.90/183.10 ! [V_n_2,V_m_2] : % 182.90/183.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => 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)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__op__ivl__Suc,axiom, % 182.90/183.10 ! [V_f_2,V_m_2,V_n_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_split__zdiv,axiom, % 182.90/183.10 ! [V_k_2,V_n_2,V_P_2] : % 182.90/183.10 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 182.90/183.10 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.10 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 182.90/183.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.10 => ! [B_i] : % 182.90/183.10 ( ? [B_j] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 182.90/183.10 & 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) ) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 182.90/183.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => ! [B_i] : % 182.90/183.10 ( ? [B_j] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 & 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) ) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divmod__int__rel__div__eq,axiom, % 182.90/183.10 ! [V_r_1,V_y,V_b_1,V_a_1] : % 182.90/183.10 ( 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) % 182.90/183.10 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 182.90/183.10 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.10 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Ints__odd__nonzero,axiom, % 182.90/183.10 ! [V_a_2,T_a] : % 182.90/183.10 ( class_Int_Oring__char__0(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 182.90/183.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I6_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ex__nat__less__eq,axiom, % 182.90/183.10 ! [V_P_2,V_n_2] : % 182.90/183.10 ( ? [B_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 182.90/183.10 & hBOOL(hAPP(V_P_2,B_m)) ) % 182.90/183.10 <=> ? [B_x] : % 182.90/183.10 ( 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))) % 182.90/183.10 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_all__nat__less__eq,axiom, % 182.90/183.10 ! [V_P_2,V_n_2] : % 182.90/183.10 ( ! [B_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_m)) ) % 182.90/183.10 <=> ! [B_x] : % 182.90/183.10 ( 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))) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_UN__finite2__subset,axiom, % 182.90/183.10 ! [V_B_2,V_k_2,V_A_2,T_a] : % 182.90/183.10 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_UN__finite2__eq,axiom, % 182.90/183.10 ! [V_B_2,V_k_2,V_A_2,T_a] : % 182.90/183.10 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 182.90/183.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_UN__finite__subset,axiom, % 182.90/183.10 ! [V_C_2,V_A_2,T_a] : % 182.90/183.10 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I3_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__greaterThanLessThan,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__atLeastLessThan__int,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__greaterThanLessThan__int,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__le__dividend,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__le__mono,axiom, % 182.90/183.10 ! [V_k,V_n,V_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => 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))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__mult2__eq,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__1,axiom, % 182.90/183.10 ! [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 ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__less,axiom, % 182.90/183.10 ! [V_n,V_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__mult__div__cancel__disj,axiom, % 182.90/183.10 ! [V_n,V_m,V_k] : % 182.90/183.10 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 => 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) ) % 182.90/183.10 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zdiv__int,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThanLessThan__empty,axiom, % 182.90/183.10 ! [V_k_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2)) % 182.90/183.10 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__le__mono2,axiom, % 182.90/183.10 ! [V_k,V_n,V_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__mult__div__cancel1,axiom, % 182.90/183.10 ! [V_n,V_m,V_k] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__mult__self__is__m,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.10 => 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 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__mult__self1__is__m,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.10 => 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 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__less__dividend,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__geq,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_div__if,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_split__div,axiom, % 182.90/183.10 ! [V_k_2,V_n_2,V_P_2] : % 182.90/183.10 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 182.90/183.10 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 182.90/183.10 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 => ! [B_i,B_j] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 182.90/183.10 => ( 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) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__add__int__atLeastLessThan,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I9_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__greaterThanLessThan,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_le__div__geq,axiom, % 182.90/183.10 ! [V_m,V_n] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_split__div_H,axiom, % 182.90/183.10 ! [V_n_2,V_m_2,V_P_2] : % 182.90/183.10 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 182.90/183.10 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 182.90/183.10 | ? [B_q] : % 182.90/183.10 ( 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)) % 182.90/183.10 & 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)))) % 182.90/183.10 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_split__div__lemma,axiom, % 182.90/183.10 ! [V_m_2,V_q_2,V_n_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 182.90/183.10 => ( ( 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)) % 182.90/183.10 & 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)))) ) % 182.90/183.10 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I15_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I4_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I12_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I13_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setprod__diff1,axiom, % 182.90/183.10 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.10 ( class_Fields_Ofield(T_b) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.10 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I14_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__greaterThanAtMost,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__greaterThanAtMost__int,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__zero,axiom, % 182.90/183.10 ! [V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__zero__left,axiom, % 182.90/183.10 ! [V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_add__divide__distrib,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_times__divide__eq__right,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_diff__divide__distrib,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__1,axiom, % 182.90/183.10 ! [V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_power__divide,axiom, % 182.90/183.10 ! [V_n,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__divide__distrib,axiom, % 182.90/183.10 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nonzero__eq__divide__eq,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 182.90/183.10 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nonzero__divide__eq__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2 % 182.90/183.10 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__eq__imp,axiom, % 182.90/183.10 ! [V_a,V_b,V_c,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_eq__divide__imp,axiom, % 182.90/183.10 ! [V_b,V_a,V_c,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 182.90/183.10 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__self__if,axiom, % 182.90/183.10 ! [V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 182.90/183.10 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 182.90/183.10 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__self,axiom, % 182.90/183.10 ! [V_a,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_right__inverse__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,T_a] : % 182.90/183.10 ( class_Rings_Odivision__ring(T_a) % 182.90/183.10 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a) % 182.90/183.10 <=> V_a_2 = V_b_2 ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nonzero__power__divide,axiom, % 182.90/183.10 ! [V_n,V_a,V_b,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_power__one__over,axiom, % 182.90/183.10 ! [V_n,V_a,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setprod__dividef,axiom, % 182.90/183.10 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_b) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThanAtMost__empty,axiom, % 182.90/183.10 ! [V_k_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2)) % 182.90/183.10 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 182.90/183.10 ! [V_l_2,V_k_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) % 182.90/183.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThanAtMost__empty__iff,axiom, % 182.90/183.10 ! [V_l_2,V_k_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I20_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I14_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__greaterThanAtMost,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I15_J,axiom, % 182.90/183.10 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.10 % 182.90/183.10 fof(fact_com_Osize_I9_J,axiom, % 182.90/183.10 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.10 % 182.90/183.10 fof(fact_power__diff,axiom, % 182.90/183.10 ! [V_m,V_n,V_a,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I10_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I16_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_geometric__sum,axiom, % 182.90/183.10 ! [V_n_2,V_x_2,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__left__mono__neg,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__left__mono,axiom, % 182.90/183.10 ! [V_c,V_a,V_b,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_neg__divide__le__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_neg__le__divide__eq,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__imp__le__div__pos,axiom, % 182.90/183.10 ! [V_x,V_z,V_y,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => ( 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)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_times__divide__times__eq,axiom, % 182.90/183.10 ! [V_w,V_z,V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__right__mono__neg,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__right__mono,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__le__0__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zero__le__divide__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__strict__right__mono__neg,axiom, % 182.90/183.10 ! [V_c,V_a,V_b,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__strict__right__mono,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__neg__neg,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__neg__pos,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__pos__neg,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__pos__pos,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__less__0__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zero__less__divide__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_eq__divide__eq,axiom, % 182.90/183.10 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 182.90/183.10 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) % 182.90/183.10 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__eq__eq,axiom, % 182.90/183.10 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2 % 182.90/183.10 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) % 182.90/183.10 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__divide__mult__cancel__right,axiom, % 182.90/183.10 ! [V_b,V_a,V_c,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__divide__mult__cancel__left,axiom, % 182.90/183.10 ! [V_b,V_a,V_c,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_frac__eq__eq,axiom, % 182.90/183.10 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2) % 182.90/183.10 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__nonpos__neg,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__nonpos__pos,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_frac__le,axiom, % 182.90/183.10 ! [V_z,V_w,V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 182.90/183.10 => 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))) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_frac__less,axiom, % 182.90/183.10 ! [V_z,V_w,V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 182.90/183.10 => 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))) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_frac__less2,axiom, % 182.90/183.10 ! [V_z,V_w,V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 182.90/183.10 => 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))) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__nonneg__neg,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__nonneg__pos,axiom, % 182.90/183.10 ! [V_y,V_x,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__strict__left__mono__neg,axiom, % 182.90/183.10 ! [V_c,V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__strict__left__mono,axiom, % 182.90/183.10 ! [V_c,V_a,V_b,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_neg__divide__less__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_neg__less__divide__eq,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__imp__less__div__pos,axiom, % 182.90/183.10 ! [V_x,V_z,V_y,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => ( 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)) % 182.90/183.10 => 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__imp__div__pos__less,axiom, % 182.90/183.10 ! [V_z,V_x,V_y,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__divide__less__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__less__divide__eq,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__less__eq,axiom, % 182.90/183.10 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_less__divide__eq,axiom, % 182.90/183.10 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_add__num__frac,axiom, % 182.90/183.10 ! [V_x,V_z,V_y,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_add__divide__eq__iff,axiom, % 182.90/183.10 ! [V_y,V_x,V_z,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_add__frac__num,axiom, % 182.90/183.10 ! [V_z,V_x,V_y,T_a] : % 182.90/183.10 ( class_Fields_Ofield__inverse__zero(T_a) % 182.90/183.10 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__add__eq__iff,axiom, % 182.90/183.10 ! [V_y,V_x,V_z,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_add__frac__eq,axiom, % 182.90/183.10 ! [V_w,V_x,V_z,V_y,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_diff__divide__eq__iff,axiom, % 182.90/183.10 ! [V_y,V_x,V_z,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__diff__eq__iff,axiom, % 182.90/183.10 ! [V_y,V_x,V_z,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_diff__frac__eq,axiom, % 182.90/183.10 ! [V_w,V_x,V_z,V_y,T_a] : % 182.90/183.10 ( class_Fields_Ofield(T_a) % 182.90/183.10 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_less__half__sum,axiom, % 182.90/183.10 ! [V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.10 => 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))))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_gt__half__sum,axiom, % 182.90/183.10 ! [V_b,V_a,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_le__divide__eq,axiom, % 182.90/183.10 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_divide__le__eq,axiom, % 182.90/183.10 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__le__divide__eq,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_pos__divide__le__eq,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_mult__imp__div__pos__le,axiom, % 182.90/183.10 ! [V_z,V_x,V_y,T_a] : % 182.90/183.10 ( class_Fields_Olinordered__field(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.10 => ( 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))) % 182.90/183.10 => 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)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setprod__Un,axiom, % 182.90/183.10 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 182.90/183.10 ( class_Fields_Ofield(T_b) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.10 => ( ! [B_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 182.90/183.10 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__atLeastZeroLessThan__int,axiom, % 182.90/183.10 ! [V_u_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 182.90/183.10 => 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))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__nonneg__leq__bound,axiom, % 182.90/183.10 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] : % 182.90/183.10 ( class_Groups_Oordered__ab__group__add(T_b) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 182.90/183.10 => ( ! [B_i] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) ) % 182.90/183.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2 % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__nonneg__0,axiom, % 182.90/183.10 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] : % 182.90/183.10 ( class_Groups_Oordered__ab__group__add(T_b) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 182.90/183.10 => ( ! [B_i] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) ) % 182.90/183.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2)) % 182.90/183.10 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThan__0,axiom, % 182.90/183.10 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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThan__eq__iff,axiom, % 182.90/183.10 ! [V_y_2,V_x_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2) % 182.90/183.10 <=> V_x_2 = V_y_2 ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__int,axiom, % 182.90/183.10 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__0,axiom, % 182.90/183.10 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 182.90/183.10 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ex__nat,axiom, % 182.90/183.10 ! [V_P_2] : % 182.90/183.10 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 182.90/183.10 <=> ? [B_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.10 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_all__nat,axiom, % 182.90/183.10 ! [V_P_2] : % 182.90/183.10 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 182.90/183.10 <=> ! [B_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.10 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 182.90/183.10 ! [V_y_2,V_x_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 182.90/183.10 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 182.90/183.10 <=> V_x_2 = V_y_2 ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_eq__nat__nat__iff,axiom, % 182.90/183.10 ! [V_z_H_2,V_z_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 182.90/183.10 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 182.90/183.10 <=> V_z_2 = V_z_H_2 ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 182.90/183.10 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__return__embed,axiom, % 182.90/183.10 ! [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 ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a] : % 182.90/183.10 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 182.90/183.10 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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__le__0,axiom, % 182.90/183.10 ! [V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__0__iff,axiom, % 182.90/183.10 ! [V_i_2] : % 182.90/183.10 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__mono__iff,axiom, % 182.90/183.10 ! [V_w_2,V_z_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zless__nat__conj,axiom, % 182.90/183.10 ! [V_z_2,V_w_2] : % 182.90/183.10 ( 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))) % 182.90/183.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 182.90/183.10 ! [V_y_2,V_x_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__1,axiom, % 182.90/183.10 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__0__le,axiom, % 182.90/183.10 ! [V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_int__eq__iff,axiom, % 182.90/183.10 ! [V_z_2,V_m_2] : % 182.90/183.10 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 182.90/183.10 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_int__nat__eq,axiom, % 182.90/183.10 ! [V_z] : % 182.90/183.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => 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) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zless__nat__eq__int__zless,axiom, % 182.90/183.10 ! [V_z_2,V_m_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 182.90/183.10 <=> 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThan__iff,axiom, % 182.90/183.10 ! [V_k_2,V_i_2,T_a] : % 182.90/183.10 ( class_Orderings_Oord(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThan__subset__iff,axiom, % 182.90/183.10 ! [V_y_2,V_x_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a] : % 182.90/183.10 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__atLeastZeroLessThan__int,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__atLeastLessThan__int,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_zero__less__nat__eq,axiom, % 182.90/183.10 ! [V_z_2] : % 182.90/183.10 ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__less__eq__zless,axiom, % 182.90/183.10 ! [V_z_2,V_w_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 182.90/183.10 ! [V_y_2,V_x_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__eq__iff2,axiom, % 182.90/183.10 ! [V_w_2,V_m_2] : % 182.90/183.10 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__eq__iff,axiom, % 182.90/183.10 ! [V_m_2,V_w_2] : % 182.90/183.10 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 182.90/183.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__le__eq__zle,axiom, % 182.90/183.10 ! [V_z_2,V_w_2] : % 182.90/183.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 182.90/183.10 => ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_split__nat,axiom, % 182.90/183.10 ! [V_i_2,V_P_2] : % 182.90/183.10 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 182.90/183.10 <=> ( ! [B_n] : % 182.90/183.10 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_n)) ) % 182.90/183.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.10 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__add__distrib,axiom, % 182.90/183.10 ! [V_z_H,V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__mult__distrib,axiom, % 182.90/183.10 ! [V_z_H,V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__diff__distrib,axiom, % 182.90/183.10 ! [V_z,V_z_H] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_INT__greaterThan__UNIV,axiom, % 182.90/183.10 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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__div__distrib,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__greaterThanAtMost__int,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 182.90/183.10 ! [V_n,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__power__eq,axiom, % 182.90/183.10 ! [V_n,V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => 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) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_one__less__nat__eq,axiom, % 182.90/183.10 ! [V_z_2] : % 182.90/183.10 ( 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))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__less__iff,axiom, % 182.90/183.10 ! [V_m_2,V_w_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 182.90/183.10 <=> 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 182.90/183.10 ! [V_z] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I11_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I5_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_greaterThan__Suc,axiom, % 182.90/183.10 ! [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)))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__greaterThanLessThan__int,axiom, % 182.90/183.10 ! [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)))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__aux__def,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__morphism__nat__int,axiom, % 182.90/183.10 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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_inj__vimage__singleton,axiom, % 182.90/183.10 ! [V_a_2,V_f_2,T_b,T_a] : % 182.90/183.10 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_sum__diff__distrib,axiom, % 182.90/183.10 ! [V_n_2,V_P_2,V_Q_2] : % 182.90/183.10 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x))) % 182.90/183.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimageI,axiom, % 182.90/183.10 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] : % 182.90/183.10 ( hAPP(V_f_2,V_a_2) = V_b_2 % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__empty,axiom, % 182.90/183.10 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__code,axiom, % 182.90/183.10 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2)) % 182.90/183.10 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__ident,axiom, % 182.90/183.10 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => 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)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__eq,axiom, % 182.90/183.10 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimageD,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimageI2,axiom, % 182.90/183.10 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__mono,axiom, % 182.90/183.10 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__UNIV,axiom, % 182.90/183.10 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__Un,axiom, % 182.90/183.10 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__Int,axiom, % 182.90/183.10 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__compose,axiom, % 182.90/183.10 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__Diff,axiom, % 182.90/183.10 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__UN,axiom, % 182.90/183.10 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => ( V_A_2 = V_B_2 % 182.90/183.10 <=> 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) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__INT,axiom, % 182.90/183.10 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__vimage__subset,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_surj__image__vimage__eq,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a,T_b] : % 182.90/183.10 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.10 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 182.90/183.10 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_nat__set__def,axiom, % 182.90/183.10 ! [V_S_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_S_2) % 182.90/183.10 <=> ! [B_x] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__Union,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__singleton__eq,axiom, % 182.90/183.10 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 182.90/183.10 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__insert,axiom, % 182.90/183.10 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__vimageD,axiom, % 182.90/183.10 ! [V_F_2,V_h_2,T_b,T_a] : % 182.90/183.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2))) % 182.90/183.10 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 182.90/183.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__subsetD,axiom, % 182.90/183.10 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] : % 182.90/183.10 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__vimage__eq,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__vimageI,axiom, % 182.90/183.10 ! [V_h_2,T_b,V_F_2,T_a] : % 182.90/183.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.90/183.10 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 182.90/183.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_F_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_inj__vimage__image__eq,axiom, % 182.90/183.10 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.10 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.90/183.10 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 182.90/183.10 ! [V_f_2,V_A_2,T_a] : % 182.90/183.10 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__const,axiom, % 182.90/183.10 ! [T_b,V_A_2,V_ca_2,T_a] : % 182.90/183.10 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.90/183.10 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 182.90/183.10 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__eq__UN,axiom, % 182.90/183.10 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_vimage__subsetI,axiom, % 182.90/183.10 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 182.90/183.10 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__nat__int__set__return__embed,axiom, % 182.90/183.10 ! [V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => 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 ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 182.90/183.10 ! [V_x_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 182.90/183.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 182.90/183.10 ! [V_f_2,V_A_2,T_a] : % 182.90/183.10 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 182.90/183.10 ! [V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 182.90/183.10 <=> 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))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 182.90/183.10 ! [V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.10 <=> 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 182.90/183.10 ! [V_B_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 182.90/183.10 <=> 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 182.90/183.10 ! [V_A_2,V_x_2] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x_2) % 182.90/183.10 => ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 182.90/183.10 <=> 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))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__Suc,axiom, % 182.90/183.10 ! [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)))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__natinterval__difff,axiom, % 182.90/183.10 ! [V_f_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Oab__group__add(T_a) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_gauss__sum,axiom, % 182.90/183.10 ! [V_n_2,T_a] : % 182.90/183.10 ( class_Rings_Ocomm__semiring__1(T_a) % 182.90/183.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I12_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_finite__atLeastAtMost,axiom, % 182.90/183.10 ! [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))) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__eq__iff,axiom, % 182.90/183.10 ! [V_y_2,V_x_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2) % 182.90/183.10 <=> V_x_2 = V_y_2 ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 182.90/183.10 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.10 => ( c_Nat__Transfer_Ois__nat(V_y) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 182.90/183.10 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 182.90/183.10 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.10 => ( c_Nat__Transfer_Ois__nat(V_y) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.10 => ( c_Nat__Transfer_Ois__nat(V_y) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 182.90/183.10 ! [V_n,V_x] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I13_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ex__nat__less,axiom, % 182.90/183.10 ! [V_P_2,V_n_2] : % 182.90/183.10 ( ? [B_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 182.90/183.10 & hBOOL(hAPP(V_P_2,B_m)) ) % 182.90/183.10 <=> ? [B_x] : % 182.90/183.10 ( 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))) % 182.90/183.10 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_all__nat__less,axiom, % 182.90/183.10 ! [V_P_2,V_n_2] : % 182.90/183.10 ( ! [B_m] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_m)) ) % 182.90/183.10 <=> ! [B_x] : % 182.90/183.10 ( 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))) % 182.90/183.10 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 182.90/183.10 ! [V_y,V_x] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.10 => ( c_Nat__Transfer_Ois__nat(V_y) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastatMost__empty__iff2,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) % 182.90/183.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastatMost__empty__iff,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastatMost__empty,axiom, % 182.90/183.10 ! [V_a_2,V_b_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) % 182.90/183.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastatMost__subset__iff,axiom, % 182.90/183.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2))) % 182.90/183.10 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastAtMost__singleton,axiom, % 182.90/183.10 ! [V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastAtMost__singleton__iff,axiom, % 182.90/183.10 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 182.90/183.10 <=> ( V_a_2 = V_b_2 % 182.90/183.10 & V_b_2 = V_ca_2 ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastAtMost__singleton_H,axiom, % 182.90/183.10 ! [V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( V_a_2 = V_b_2 % 182.90/183.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__Suc__atLeastAtMost,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 182.90/183.10 ! [V_n_2,V_m_2,V_f_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 182.90/183.10 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_is__nat__def,axiom, % 182.90/183.10 ! [V_x_2] : % 182.90/183.10 ( c_Nat__Transfer_Ois__nat(V_x_2) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_image__add__atLeastAtMost,axiom, % 182.90/183.10 ! [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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__iff,axiom, % 182.90/183.10 ! [V_k_2,V_i_2,T_a] : % 182.90/183.10 ( class_Orderings_Oord(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__subset__iff,axiom, % 182.90/183.10 ! [V_y_2,V_x_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2))) % 182.90/183.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__0,axiom, % 182.90/183.10 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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_card__atLeastAtMost,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastAtMostSuc__conv,axiom, % 182.90/183.10 ! [V_n_2,V_m_2] : % 182.90/183.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 182.90/183.10 ! [V_x_2,V_A_2] : % 182.90/183.10 ( c_Nat__Transfer_Onat__set(V_A_2) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 182.90/183.10 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 182.90/183.10 ! [V_k_2,V_f_2] : % 182.90/183.10 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.10 => 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)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeast__Suc__greaterThan,axiom, % 182.90/183.10 ! [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) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I21_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I15_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_atLeastatMost__psubset__iff,axiom, % 182.90/183.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2))) % 182.90/183.10 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 182.90/183.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) % 182.90/183.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_a_2)) % 182.90/183.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) ) % 182.90/183.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I22_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I4_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I16_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I13_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I12_J,axiom, % 182.90/183.10 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I7_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__head__Suc,axiom, % 182.90/183.10 ! [V_f_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I14_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I8_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_UN__atLeast__UNIV,axiom, % 182.90/183.10 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)) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__int_I6_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Oorder(T_a) % 182.90/183.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__cl__ivl__Suc,axiom, % 182.90/183.10 ! [V_f_2,V_m_2,V_n_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) ) % 182.90/183.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__head,axiom, % 182.90/183.10 ! [V_P_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_setsum__ub__add__nat,axiom, % 182.90/183.10 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] : % 182.90/183.10 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.10 => ( 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)))) % 182.90/183.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 182.90/183.10 % 182.90/183.10 fof(fact_ivl__disj__un_I6_J,axiom, % 182.90/183.10 ! [V_u_2,V_l_2,T_a] : % 182.90/183.10 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I5_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I18_J,axiom, % 182.90/183.11 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I1_J,axiom, % 182.90/183.11 ! [V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I19_J,axiom, % 182.90/183.11 ! [V_u_2,V_m_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 182.90/183.11 ! [V_f_2,V_A_2,T_a] : % 182.90/183.11 ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.11 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 182.90/183.11 ! [V_f_2,V_A_2,T_a] : % 182.90/183.11 ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.11 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_UN__le__eq__Un0,axiom, % 182.90/183.11 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_decr__mult__lemma,axiom, % 182.90/183.11 ! [V_k_2,V_P_2,V_d_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_x)) % 182.90/183.11 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_x)) % 182.90/183.11 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_incr__mult__lemma,axiom, % 182.90/183.11 ! [V_k_2,V_P_2,V_d_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_x)) % 182.90/183.11 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_x)) % 182.90/183.11 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__atLeastAtMost__int,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__atMost,axiom, % 182.90/183.11 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__eq__iff,axiom, % 182.90/183.11 ! [V_y_2,V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2) % 182.90/183.11 <=> V_x_2 = V_y_2 ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 182.90/183.11 ! [V_y_2,V_x_2] : % 182.90/183.11 ( c_Nat__Transfer_Ois__nat(V_x_2) % 182.90/183.11 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atLeast0AtMost,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_lessThan__Suc__atMost,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__atMost,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__Suc,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__iff,axiom, % 182.90/183.11 ! [V_k_2,V_i_2,T_a] : % 182.90/183.11 ( class_Orderings_Oord(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2))) % 182.90/183.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__subset__iff,axiom, % 182.90/183.11 ! [V_y_2,V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Oorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2))) % 182.90/183.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 182.90/183.11 ! [V_y_2,V_x_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 182.90/183.11 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_UN__atMost__UNIV,axiom, % 182.90/183.11 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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__atMost__Suc,axiom, % 182.90/183.11 ! [V_n_2,V_f_2,T_a] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__0,axiom, % 182.90/183.11 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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_simp__from__to,axiom, % 182.90/183.11 ! [V_i_2,V_j_2] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 182.90/183.11 => 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)) ) % 182.90/183.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I9_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_UN__le__add__shift,axiom, % 182.90/183.11 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__int_I3_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Oorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__int_I1_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Oorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__atLeastAtMost__int,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 182.90/183.11 ! [V_n_2,V_m_2] : % 182.90/183.11 ( c_Nat__Transfer_Ois__nat(V_m_2) % 182.90/183.11 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 182.90/183.11 => 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I2_J,axiom, % 182.90/183.11 ! [V_u_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I10_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_atMost__Int__atLeast,axiom, % 182.90/183.11 ! [V_n_2,T_a] : % 182.90/183.11 ( class_Orderings_Oorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ivl__disj__un_I7_J,axiom, % 182.90/183.11 ! [V_u_2,V_l_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I8_J,axiom, % 182.90/183.11 ! [V_B_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 182.90/183.11 => 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))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I6_J,axiom, % 182.90/183.11 ! [V_A_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 182.90/183.11 => 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)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I4_J,axiom, % 182.90/183.11 ! [V_A_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( B_x != V_t_2 % 182.90/183.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I4_J,axiom, % 182.90/183.11 ! [V_B_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( B_x != V_t_2 % 182.90/183.11 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I7_J,axiom, % 182.90/183.11 ! [V_B_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 182.90/183.11 => 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))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I3_J,axiom, % 182.90/183.11 ! [V_B_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xa] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 182.90/183.11 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 182.90/183.11 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I3_J,axiom, % 182.90/183.11 ! [V_A_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xa] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 182.90/183.11 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 182.90/183.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I5_J,axiom, % 182.90/183.11 ! [V_A_2,V_t_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 182.90/183.11 => 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)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I6_J,axiom, % 182.90/183.11 ! [V_t_2,V_B_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 182.90/183.11 => 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)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I8_J,axiom, % 182.90/183.11 ! [V_t_2,V_A_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_periodic__finite__ex,axiom, % 182.90/183.11 ! [V_P_2,V_d_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 182.90/183.11 => ( ! [B_x,B_k] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_x)) % 182.90/183.11 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 182.90/183.11 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 182.90/183.11 <=> ? [B_x] : % 182.90/183.11 ( 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))) % 182.90/183.11 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_aset_I7_J,axiom, % 182.90/183.11 ! [V_t_2,V_A_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_bset_I5_J,axiom, % 182.90/183.11 ! [V_t_2,V_B_2,V_D_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 182.90/183.11 => ! [B_x] : % 182.90/183.11 ( ! [B_xa] : % 182.90/183.11 ( 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))) % 182.90/183.11 => ! [B_xb] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 182.90/183.11 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 182.90/183.11 => 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)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_ex__least__nat__less,axiom, % 182.90/183.11 ! [V_n_2,V_P_2] : % 182.90/183.11 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 182.90/183.11 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 182.90/183.11 => ? [B_k] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 182.90/183.11 & ! [B_i] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 182.90/183.11 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 182.90/183.11 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setprod__mono__one__right,axiom, % 182.90/183.11 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 182.90/183.11 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setprod__mono__one__left,axiom, % 182.90/183.11 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__mult(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 182.90/183.11 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zero__less__imp__eq__int,axiom, % 182.90/183.11 ! [V_k] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 182.90/183.11 => ? [B_n] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 182.90/183.11 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__mono__zero__left,axiom, % 182.90/183.11 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 182.90/183.11 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__mono__zero__right,axiom, % 182.90/183.11 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 182.90/183.11 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__subset__induct,axiom, % 182.90/183.11 ! [V_P_2,V_A_2,V_F_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 182.90/183.11 => ( ! [B_a,B_F] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 182.90/183.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F)) % 182.90/183.11 => ( hBOOL(hAPP(V_P_2,B_F)) % 182.90/183.11 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) ) % 182.90/183.11 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__strict__mono,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.11 ( ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.11 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) ) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_field__le__mult__one__interval,axiom, % 182.90/183.11 ! [V_y,V_x,T_a] : % 182.90/183.11 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.11 => ( ! [B_z] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 182.90/183.11 => 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)) ) ) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] : % 182.90/183.11 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.11 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.11 => ( V_A_2 = V_B_2 % 182.90/183.11 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.11 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_split__neg__lemma,axiom, % 182.90/183.11 ! [V_n_2,V_P_2,V_k_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 182.90/183.11 <=> ! [B_i,B_j] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 & 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) ) % 182.90/183.11 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_split__pos__lemma,axiom, % 182.90/183.11 ! [V_n_2,V_P_2,V_k_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 182.90/183.11 <=> ! [B_i,B_j] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 182.90/183.11 & 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) ) % 182.90/183.11 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__diff__cong,axiom, % 182.90/183.11 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Oring__div(T_a) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 182.90/183.11 => 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) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__diff__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Oring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__diff__left__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Oring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__diff__right__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Oring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__simps_I3_J,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zmult1__eq,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__cong,axiom, % 182.90/183.11 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 182.90/183.11 => 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) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__simps_I1_J,axiom, % 182.90/183.11 ! [V_b,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__simps_I2_J,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__left__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__right__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__self1,axiom, % 182.90/183.11 ! [V_a,V_b,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__add__self2,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__cong,axiom, % 182.90/183.11 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 182.90/183.11 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 182.90/183.11 => 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) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__simps_I4_J,axiom, % 182.90/183.11 ! [V_b,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__mult2,axiom, % 182.90/183.11 ! [V_b,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__mult1,axiom, % 182.90/183.11 ! [V_b,V_a,V_c,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__left__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__right__eq,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mod__trivial,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__self,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__by__0,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__0,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__self,axiom, % 182.90/183.11 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zero,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiff__zmod__right,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiff__zmod__left,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 182.90/183.11 ! [V_y,V_x] : % 182.90/183.11 ( c_Nat__Transfer_Ois__nat(V_x) % 182.90/183.11 => ( c_Nat__Transfer_Ois__nat(V_y) % 182.90/183.11 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zpower__zmod,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self1__is__0,axiom, % 182.90/183.11 ! [V_a,V_b,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self2__is__0,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self2,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self1,axiom, % 182.90/183.11 ! [V_b,V_c,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__by__1,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__div__trivial,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__le__nonneg__dividend,axiom, % 182.90/183.11 ! [V_k,V_m] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 182.90/183.11 ! [V_y,V_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.11 => 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_pos__mod__bound,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_neg__mod__bound,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__eq__0__iff,axiom, % 182.90/183.11 ! [V_d_2,V_m_2] : % 182.90/183.11 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.11 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zdiv__trivial,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_DIVISION__BY__ZERO,axiom, % 182.90/183.11 ! [V_a] : % 182.90/183.11 ( 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) % 182.90/183.11 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiv__zadd1__eq,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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 ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__div__equality2,axiom, % 182.90/183.11 ! [V_a,V_b,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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 ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__div__equality,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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 ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_div__mod__equality2,axiom, % 182.90/183.11 ! [V_c,V_a,V_b,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_div__mod__equality,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Divides_Osemiring__div(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_pos__mod__sign,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.11 => 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_pos__mod__conj,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 182.90/183.11 => ( 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))) % 182.90/183.11 & 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__pos__pos__trivial,axiom, % 182.90/183.11 ! [V_b,V_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_neg__mod__sign,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_neg__mod__conj,axiom, % 182.90/183.11 ! [V_a,V_b] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => ( 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))) % 182.90/183.11 & 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__neg__neg__trivial,axiom, % 182.90/183.11 ! [V_b,V_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiv__zmod__equality2,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiv__zmod__equality,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zdiv__zmult1__eq,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zdiv__equality,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmult__div__cancel,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zdiv__equality_H,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__pos__neg__trivial,axiom, % 182.90/183.11 ! [V_b,V_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 182.90/183.11 => ( 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))) % 182.90/183.11 => 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) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_split__zmod,axiom, % 182.90/183.11 ! [V_k_2,V_n_2,V_P_2] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 182.90/183.11 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.11 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 182.90/183.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 182.90/183.11 => ! [B_i,B_j] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 182.90/183.11 & 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) ) % 182.90/183.11 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 182.90/183.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => ! [B_i,B_j] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 & 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) ) % 182.90/183.11 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmult2__lemma__aux3,axiom, % 182.90/183.11 ! [V_q,V_b,V_r,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmult2__lemma__aux4,axiom, % 182.90/183.11 ! [V_q,V_b,V_r,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmult2__lemma__aux1,axiom, % 182.90/183.11 ! [V_q,V_r,V_b,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmult2__lemma__aux2,axiom, % 182.90/183.11 ! [V_q,V_r,V_b,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_divmod__int__rel__mod__eq,axiom, % 182.90/183.11 ! [V_y,V_q_1,V_b_1,V_a_1] : % 182.90/183.11 ( 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) % 182.90/183.11 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 182.90/183.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 182.90/183.11 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__zmult2__eq,axiom, % 182.90/183.11 ! [V_b,V_a,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_incr__lemma,axiom, % 182.90/183.11 ! [V_x,V_z,V_d] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_decr__lemma,axiom, % 182.90/183.11 ! [V_z,V_x,V_d] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] : % 182.90/183.11 ( ( class_Groups_Ocomm__monoid__add(T_a) % 182.90/183.11 & class_Groups_Ocomm__monoid__mult(T_a) ) % 182.90/183.11 => ( V_A_2 = V_B_2 % 182.90/183.11 => ( c_Nat__Transfer_Onat__set(V_B_2) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 182.90/183.11 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_diff__Suc,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Inter__subset,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : % 182.90/183.11 ( ! [B_X] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) ) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__abs,axiom, % 182.90/183.11 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__abs__ge__zero,axiom, % 182.90/183.11 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__distrib,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__distrib2,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__less__eq__dividend,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__less,axiom, % 182.90/183.11 ! [V_n,V_m] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__divide,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__ge__self,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__le__D1,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__idempotent,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__one,axiom, % 182.90/183.11 ! [T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__mult,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__mult__self,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__add__abs,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__zero,axiom, % 182.90/183.11 ! [T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__eq__0,axiom, % 182.90/183.11 ! [V_a_2,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.11 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__of__nat,axiom, % 182.90/183.11 ! [V_n,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_power__abs,axiom, % 182.90/183.11 ! [V_n,V_a,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__int__eq,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__minus__commute,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__setsum__abs,axiom, % 182.90/183.11 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__setprod,axiom, % 182.90/183.11 ! [V_A_2,V_f_2,T_b,T_a] : % 182.90/183.11 ( class_Fields_Olinordered__field(T_a) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__ge__zero,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__le__zero__iff,axiom, % 182.90/183.11 ! [V_a_2,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 182.90/183.11 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__of__nonneg,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__not__less__zero,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ~ 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zero__less__abs__iff,axiom, % 182.90/183.11 ! [V_a_2,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2))) % 182.90/183.11 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__of__pos,axiom, % 182.90/183.11 ! [V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__triangle__ineq,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__mult__less,axiom, % 182.90/183.11 ! [V_d,V_b,V_c,V_a,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 182.90/183.11 => 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))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__triangle__ineq3,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__triangle__ineq2,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__triangle__ineq2__sym,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nonzero__abs__divide,axiom, % 182.90/183.11 ! [V_a,V_b,T_a] : % 182.90/183.11 ( class_Fields_Olinordered__field(T_a) % 182.90/183.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__Suc,axiom, % 182.90/183.11 ! [V_n,V_m] : % 182.90/183.11 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 182.90/183.11 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__1,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__less__divisor,axiom, % 182.90/183.11 ! [V_m,V_n] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__eq__0__iff,axiom, % 182.90/183.11 ! [V_d_2,V_m_2] : % 182.90/183.11 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.11 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__geq,axiom, % 182.90/183.11 ! [V_n,V_m] : % 182.90/183.11 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__if,axiom, % 182.90/183.11 ! [V_n,V_m] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.11 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 182.90/183.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 182.90/183.11 => 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) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self3,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_le__mod__geq,axiom, % 182.90/183.11 ! [V_m,V_n] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__zmult__eq__1,axiom, % 182.90/183.11 ! [V_n,V_m] : % 182.90/183.11 ( 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) % 182.90/183.11 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zmod__int,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_div__add1__eq,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__case__0,axiom, % 182.90/183.11 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__case__Suc,axiom, % 182.90/183.11 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__eq__mult,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Rings_Oordered__ring__abs(T_a) % 182.90/183.11 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 182.90/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 182.90/183.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 182.90/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__mult__pos,axiom, % 182.90/183.11 ! [V_y,V_x,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__diff__triangle__ineq,axiom, % 182.90/183.11 ! [V_d,V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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))))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__triangle__ineq4,axiom, % 182.90/183.11 ! [V_b,V_a,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zero__le__power__abs,axiom, % 182.90/183.11 ! [V_n,V_a,T_a] : % 182.90/183.11 ( class_Rings_Olinordered__idom(T_a) % 182.90/183.11 => 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))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_abs__div__pos,axiom, % 182.90/183.11 ! [V_x,V_y,T_a] : % 182.90/183.11 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__le__divisor,axiom, % 182.90/183.11 ! [V_m,V_n] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zabs__less__one__iff,axiom, % 182.90/183.11 ! [V_z_2] : % 182.90/183.11 ( 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))) % 182.90/183.11 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult__self4,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__abs__mult__distrib,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_div__mult1__eq,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__mult2__eq,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zero__le__zpower__abs,axiom, % 182.90/183.11 ! [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))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_div__mod__equality_H,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mult__div__cancel,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Divides_Omod__div__equality_H,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mod__lemma,axiom, % 182.90/183.11 ! [V_q,V_b,V_r,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 182.90/183.11 => 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_split__mod,axiom, % 182.90/183.11 ! [V_k_2,V_n_2,V_P_2] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 182.90/183.11 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.11 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 182.90/183.11 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.11 => ! [B_i,B_j] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 182.90/183.11 => ( 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) % 182.90/183.11 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Suc__times__mod__eq,axiom, % 182.90/183.11 ! [V_m,V_k] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 182.90/183.11 ! [V_y,V_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__mod__distrib,axiom, % 182.90/183.11 ! [V_y,V_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_zero__less__zpower__abs__iff,axiom, % 182.90/183.11 ! [V_n_2,V_x_2] : % 182.90/183.11 ( 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))) % 182.90/183.11 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 182.90/183.11 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nitpick_Oint__lcm__def,axiom, % 182.90/183.11 ! [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)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OBody,axiom, % 182.90/183.11 ! [V_s1,V_n,V_s0,V_pn] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_n),V_s1)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),hAPP(c_Nat_OSuc,V_n)),V_s1)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_int__val__lemma,axiom, % 182.90/183.11 ! [V_k_2,V_f_2,V_n_2] : % 182.90/183.11 ( ! [B_i] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 182.90/183.11 => 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))) ) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 182.90/183.11 => ? [B_i] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 182.90/183.11 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat0__intermed__int__val,axiom, % 182.90/183.11 ! [V_k_2,V_f_2,V_n_2] : % 182.90/183.11 ( ! [B_i] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 182.90/183.11 => 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))) ) % 182.90/183.11 => ( 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)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 182.90/183.11 => ? [B_i] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 182.90/183.11 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setprod__pos__nat,axiom, % 182.90/183.11 ! [V_f_2,V_S_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 182.90/183.11 => 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))) ) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OWhileFalse,axiom, % 182.90/183.11 ! [V_n_2,V_ca_2,V_s_2,V_b_2] : % 182.90/183.11 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_s_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OWhileTrue,axiom, % 182.90/183.11 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_b_2] : % 182.90/183.11 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_n_2),V_s1_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_n_2),V_s2_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_n_2),V_s2_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OIfFalse,axiom, % 182.90/183.11 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 182.90/183.11 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_s1_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OIfTrue,axiom, % 182.90/183.11 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 182.90/183.11 ( hBOOL(hAPP(V_b_2,V_s_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_n_2),V_s1_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__elim__cases_I5_J,axiom, % 182.90/183.11 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_n_2),V_t_2)) % 182.90/183.11 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 182.90/183.11 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_t_2)) ) % 182.90/183.11 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 182.90/183.11 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_n_2),V_t_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OSemi,axiom, % 182.90/183.11 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_OSkip,axiom, % 182.90/183.11 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__elim__cases_I1_J,axiom, % 182.90/183.11 ! [V_t,V_n,V_s] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t)) % 182.90/183.11 => V_t = V_s ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__evalc,axiom, % 182.90/183.11 ! [V_t,V_n,V_s,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_eval__eq,axiom, % 182.90/183.11 ! [V_t_2,V_s_2,V_ca_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2)) % 182.90/183.11 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__Suc,axiom, % 182.90/183.11 ! [V_s_H,V_n,V_s,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__nonstrict,axiom, % 182.90/183.11 ! [V_m,V_t,V_n,V_s,V_c] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 182.90/183.11 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I7_J,axiom, % 182.90/183.11 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2)) % 182.90/183.11 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 => ? [B_s1] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I8_J,axiom, % 182.90/183.11 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2)) % 182.90/183.11 <=> ( ( V_a6_2 = V_a2_2 % 182.90/183.11 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 182.90/183.11 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 & ? [B_s1] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I5_J,axiom, % 182.90/183.11 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2)),V_a2_2),V_a4_2),V_a5_2)) % 182.90/183.11 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) % 182.90/183.11 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I6_J,axiom, % 182.90/183.11 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2)),V_a2_2),V_a4_2),V_a5_2)) % 182.90/183.11 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) % 182.90/183.11 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I4_J,axiom, % 182.90/183.11 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2)) % 182.90/183.11 <=> ? [B_s1] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1)) % 182.90/183.11 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I1_J,axiom, % 182.90/183.11 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_triple__valid__def2,axiom, % 182.90/183.11 ! [V_Q_2,V_ca_2,V_P_2,V_n_2,T_a] : % 182.90/183.11 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)) % 182.90/183.11 <=> ! [B_Z,B_s] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 182.90/183.11 => ! [B_s_H] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),B_s),V_n_2),B_s_H)) % 182.90/183.11 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_triple__valid__def,axiom, % 182.90/183.11 ! [V_t_2,V_n_2,T_a] : % 182.90/183.11 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,V_t_2) % 182.90/183.11 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_n_2))))))))),V_t_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln_Oequations_I9_J,axiom, % 182.90/183.11 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),hAPP(c_Nat_OSuc,V_a3_2)),V_a4_2)) % 182.90/183.11 <=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2),V_a4_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 182.90/183.11 ! [V_n_2,V_m_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 182.90/183.11 <=> 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nitpick_Onat__lcm__def,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_evaln__elim__cases_I6_J,axiom, % 182.90/183.11 ! [V_s1,V_n,V_s,V_P] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_n),V_s1)) % 182.90/183.11 => ~ ! [B_n] : % 182.90/183.11 ( V_n = hAPP(c_Nat_OSuc,B_n) % 182.90/183.11 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),B_n),V_s1)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__less__Suc,axiom, % 182.90/183.11 ! [V_i_2,V_M_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 182.90/183.11 => 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))))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__less,axiom, % 182.90/183.11 ! [V_i_2,V_M_2] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_CollectI,axiom, % 182.90/183.11 ! [T_a,V_a_2,V_P_2] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,V_a_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__conjI,axiom, % 182.90/183.11 ! [V_Q_2,V_P_2,T_a] : % 182.90/183.11 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) % 182.90/183.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__less__nat,axiom, % 182.90/183.11 ! [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)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__le__nat,axiom, % 182.90/183.11 ! [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)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__def,axiom, % 182.90/183.11 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 ). % 182.90/183.11 % 182.90/183.11 fof(fact_empty__Collect__eq,axiom, % 182.90/183.11 ! [V_P_2,T_a] : % 182.90/183.11 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_P_2) % 182.90/183.11 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__empty__eq,axiom, % 182.90/183.11 ! [V_P_2,T_a] : % 182.90/183.11 ( hAPP(c_Set_OCollect(T_a),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_CollectE,axiom, % 182.90/183.11 ! [V_P_2,V_a_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_CollectD,axiom, % 182.90/183.11 ! [V_P_2,V_a_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_mem__Collect__eq,axiom, % 182.90/183.11 ! [V_P_2,V_a_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__mem__eq,axiom, % 182.90/183.11 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ). % 182.90/183.11 % 182.90/183.11 fof(fact_empty__def,axiom, % 182.90/183.11 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__disjI,axiom, % 182.90/183.11 ! [V_Q_2,V_P_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)))) % 182.90/183.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_insert__Collect,axiom, % 182.90/183.11 ! [V_P_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_UNIV__def,axiom, % 182.90/183.11 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__disj__eq,axiom, % 182.90/183.11 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__conj__eq,axiom, % 182.90/183.11 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_vimage__Collect__eq,axiom, % 182.90/183.11 ! [V_P_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_P_2),V_f_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_insert__compr__raw,axiom, % 182.90/183.11 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_insert__compr,axiom, % 182.90/183.11 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Un__def,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Int__Collect,axiom, % 182.90/183.11 ! [V_P_2,V_A_2,V_x_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))) % 182.90/183.11 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.11 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Int__def,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__conv__if,axiom, % 182.90/183.11 ! [T_a,V_a_2,V_P_2] : % 182.90/183.11 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 182.90/183.11 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) % 182.90/183.11 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 182.90/183.11 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__conv__if2,axiom, % 182.90/183.11 ! [T_a,V_a_2,V_P_2] : % 182.90/183.11 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 182.90/183.11 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) % 182.90/183.11 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 182.90/183.11 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_singleton__conv,axiom, % 182.90/183.11 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_singleton__conv2,axiom, % 182.90/183.11 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_set__diff__eq,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__not,axiom, % 182.90/183.11 ! [V_P_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) % 182.90/183.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_insert__def,axiom, % 182.90/183.11 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 182.90/183.11 % 182.90/183.11 fof(fact_vimage__def,axiom, % 182.90/183.11 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__M__bounded__by__nat,axiom, % 182.90/183.11 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__setsum__restrict,axiom, % 182.90/183.11 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_c) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_if__image__distrib,axiom, % 182.90/183.11 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Collect__all__eq,axiom, % 182.90/183.11 ! [V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),V_P_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__seg__image__imp__finite,axiom, % 182.90/183.11 ! [V_n_2,V_f_2,T_a,V_A_2] : % 182.90/183.11 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 182.90/183.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__restrict__set_H,axiom, % 182.90/183.11 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__image__gen,axiom, % 182.90/183.11 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] : % 182.90/183.11 ( class_Groups_Ocomm__monoid__add(T_b) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_nat__gcd_Osimps,axiom, % 182.90/183.11 ! [V_x,V_y] : % 182.90/183.11 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.11 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 182.90/183.11 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__less__Suc2,axiom, % 182.90/183.11 ! [V_i_2,V_M_2] : % 182.90/183.11 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 182.90/183.11 => 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))))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_dom__if,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,V_P_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_a),c_If(tc_Option_Ooption(T_b))),V_P_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_g_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nitpick_Oint__gcd__def,axiom, % 182.90/183.11 ! [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)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_dom__override__on,axiom, % 182.90/183.11 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Fun_Ooverride__on(T_a,tc_Option_Ooption(T_b),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2)))))),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2))))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__multicount,axiom, % 182.90/183.11 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2)) % 182.90/183.11 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_T_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__subsets,axiom, % 182.90/183.11 ! [V_A_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Pow__def,axiom, % 182.90/183.11 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_override__on__apply__in,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.11 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_override__on__apply__notin,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 182.90/183.11 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.11 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_override__on__emptyset,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,T_b,T_a] : c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_f_2 ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 182.90/183.11 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_override__on__def,axiom, % 182.90/183.11 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 182.90/183.11 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.11 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 182.90/183.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 182.90/183.11 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 182.90/183.11 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 182.90/183.11 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ). % 182.90/183.11 % 182.90/183.11 fof(fact_setsum__multicount__gen,axiom, % 182.90/183.11 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2)) % 182.90/183.11 => ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2)) % 182.90/183.11 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 182.90/183.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_inf__Sup1__distrib,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Lattices_Odistrib__lattice(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_inf__Sup2__distrib,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : % 182.90/183.11 ( class_Lattices_Odistrib__lattice(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_sup__Inf2__distrib,axiom, % 182.90/183.11 ! [V_B_2,V_A_2,T_a] : % 182.90/183.11 ( class_Lattices_Odistrib__lattice(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 182.90/183.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__Collect__bounded__ex,axiom, % 182.90/183.11 ! [V_Q_2,T_b,V_P_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))))) % 182.90/183.11 <=> ! [B_y] : % 182.90/183.11 ( hBOOL(hAPP(V_P_2,B_y)) % 182.90/183.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__image__set,axiom, % 182.90/183.11 ! [V_f_2,T_b,V_P_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 182.90/183.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_sup__Inf1__distrib,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Lattices_Odistrib__lattice(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_add__Min__commute,axiom, % 182.90/183.11 ! [V_k_2,V_N_2,T_a] : % 182.90/183.11 ( class_Groups_Olinordered__ab__semigroup__add(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.90/183.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_add__Max__commute,axiom, % 182.90/183.11 ! [V_k_2,V_N_2,T_a] : % 182.90/183.11 ( class_Groups_Olinordered__ab__semigroup__add(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.90/183.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_finite__conv__nat__seg__image,axiom, % 182.90/183.11 ! [V_A_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_pigeonhole__infinite,axiom, % 182.90/183.11 ! [V_f_2,T_b,V_A_2,T_a] : % 182.90/183.11 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 182.90/183.11 => ? [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 182.90/183.11 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Max_Osingleton,axiom, % 182.90/183.11 ! [V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Min_Osingleton,axiom, % 182.90/183.11 ! [V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Min__le,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Max__ge,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Max__in,axiom, % 182.90/183.11 ! [V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Min__in,axiom, % 182.90/183.11 ! [V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Min__antimono,axiom, % 182.90/183.11 ! [V_N_2,V_M_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2)) % 182.90/183.11 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Max__mono,axiom, % 182.90/183.11 ! [V_N_2,V_M_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2)) % 182.90/183.11 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Min_Oremove,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) % 182.90/183.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Max_Oremove,axiom, % 182.90/183.11 ! [V_x_2,V_A_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 182.90/183.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) % 182.90/183.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 182.90/183.11 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_card__quotient__disjoint,axiom, % 182.90/183.11 ! [V_r_2,V_A_2,T_a] : % 182.90/183.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 182.90/183.11 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2) % 182.90/183.11 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_inj__on__diff__nat,axiom, % 182.90/183.11 ! [V_k_2,V_N_2] : % 182.90/183.11 ( ! [B_x] : % 182.90/183.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 182.90/183.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_Int__atLeastAtMost,axiom, % 182.90/183.11 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_max__0L,axiom, % 182.90/183.11 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 182.90/183.11 % 182.90/183.11 fof(fact_max__0R,axiom, % 182.90/183.11 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__0L,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__0R,axiom, % 182.90/183.11 ! [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) ). % 182.90/183.11 % 182.90/183.11 fof(fact_max__Suc__Suc,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__Suc__Suc,axiom, % 182.90/183.11 ! [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)) ). % 182.90/183.11 % 182.90/183.11 fof(fact_less__max__iff__disj,axiom, % 182.90/183.11 ! [V_y_2,V_x_2,V_z_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2))) % 182.90/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2)) % 182.90/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_max__less__iff__conj,axiom, % 182.90/183.11 ! [V_z_2,V_y_2,V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2)) % 182.90/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oless__supI1,axiom, % 182.90/183.11 ! [V_b,V_a,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 182.90/183.11 => 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oless__supI2,axiom, % 182.90/183.11 ! [V_a,V_b,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 182.90/183.11 => 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))) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__less__iff__conj,axiom, % 182.90/183.11 ! [V_y_2,V_x_2,V_z_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2))) % 182.90/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2)) % 182.90/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__less__iff__disj,axiom, % 182.90/183.11 ! [V_z_2,V_y_2,V_x_2,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2)) % 182.90/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2)) % 182.90/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oless__infI1,axiom, % 182.90/183.11 ! [V_b,V_x,V_a,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oless__infI2,axiom, % 182.90/183.11 ! [V_a,V_x,V_b,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 182.90/183.11 => 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)) ) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_max__add__distrib__left,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Odistrib__sup__le,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Odistrib__inf__le,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)))) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 182.90/183.11 ! [V_x,V_z,V_y,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup__inf__distrib2,axiom, % 182.90/183.11 ! [V_x,V_z,V_y,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf__assoc,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf_Oassoc,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup__assoc,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup_Oassoc,axiom, % 182.90/183.11 ! [V_c,V_b,V_a,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup__inf__distrib1,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf__left__commute,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 182.90/183.11 ! [V_c,V_a,V_b,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup__left__commute,axiom, % 182.90/183.11 ! [V_z,V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Osup_Oleft__commute,axiom, % 182.90/183.11 ! [V_c,V_a,V_b,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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)) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf__left__idem,axiom, % 182.90/183.11 ! [V_y,V_x,T_a] : % 182.90/183.11 ( class_Orderings_Olinorder(T_a) % 182.90/183.11 => 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) ) ). % 182.90/183.11 % 182.90/183.11 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 183.08/183.11 ! [V_b,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__left__idem,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup_Oleft__idem,axiom, % 183.08/183.11 ! [V_b,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__sup__absorb,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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 ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__inf__absorb,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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 ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__commute,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf_Ocommute,axiom, % 183.08/183.11 ! [V_b,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__commute,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup_Ocommute,axiom, % 183.08/183.11 ! [V_b,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf_Oidem,axiom, % 183.08/183.11 ! [V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup_Oidem,axiom, % 183.08/183.11 ! [V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Min_Oidem,axiom, % 183.08/183.11 ! [V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Max_Oidem,axiom, % 183.08/183.11 ! [V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__le__iff__disj,axiom, % 183.08/183.11 ! [V_z_2,V_y_2,V_x_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2)) % 183.08/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 183.08/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__le1,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__le2,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__iff__inf,axiom, % 183.08/183.11 ! [V_y_2,V_x_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 183.08/183.11 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__inf__iff,axiom, % 183.08/183.11 ! [V_z_2,V_y_2,V_x_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2))) % 183.08/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 183.08/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__infI1,axiom, % 183.08/183.11 ! [V_b,V_x,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 183.08/183.11 => 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)) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__infI2,axiom, % 183.08/183.11 ! [V_a,V_x,V_b,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 183.08/183.11 => 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)) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__absorb1,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__absorb2,axiom, % 183.08/183.11 ! [V_x,V_y,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__infI,axiom, % 183.08/183.11 ! [V_b,V_a,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 183.08/183.11 => 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))) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__greatest,axiom, % 183.08/183.11 ! [V_z,V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 183.08/183.11 => 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))) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Oinf__mono,axiom, % 183.08/183.11 ! [V_d,V_b,V_c,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 183.08/183.11 => 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))) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__infE,axiom, % 183.08/183.11 ! [V_b,V_a,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( 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))) % 183.08/183.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 183.08/183.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_le__max__iff__disj,axiom, % 183.08/183.11 ! [V_y_2,V_x_2,V_z_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2))) % 183.08/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2)) % 183.08/183.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_le__maxI1,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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))) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_le__maxI2,axiom, % 183.08/183.11 ! [V_x,V_y,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => 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))) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__iff__sup,axiom, % 183.08/183.11 ! [V_y_2,V_x_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 183.08/183.11 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__sup__iff,axiom, % 183.08/183.11 ! [V_z_2,V_y_2,V_x_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2)) % 183.08/183.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 183.08/183.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__supI1,axiom, % 183.08/183.11 ! [V_b,V_a,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 183.08/183.11 => 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))) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__supI2,axiom, % 183.08/183.11 ! [V_a,V_b,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 183.08/183.11 => 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))) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__absorb2,axiom, % 183.08/183.11 ! [V_y,V_x,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__absorb1,axiom, % 183.08/183.11 ! [V_x,V_y,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__supI,axiom, % 183.08/183.11 ! [V_b,V_x,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 183.08/183.11 => 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)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__least,axiom, % 183.08/183.11 ! [V_z,V_x,V_y,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 183.08/183.11 => 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)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Osup__mono,axiom, % 183.08/183.11 ! [V_d,V_b,V_c,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 183.08/183.11 => 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))) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ole__supE,axiom, % 183.08/183.11 ! [V_x,V_b,V_a,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( 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)) % 183.08/183.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 183.08/183.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__add__distrib__left,axiom, % 183.08/183.11 ! [V_z,V_y,V_x,T_a] : % 183.08/183.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 183.08/183.11 => 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)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__diff,axiom, % 183.08/183.11 ! [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) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__greaterThanAtMost,axiom, % 183.08/183.11 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_max__diff__distrib__left,axiom, % 183.08/183.11 ! [V_z,V_y,V_x,T_a] : % 183.08/183.11 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.11 => 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)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__diff__distrib__left,axiom, % 183.08/183.11 ! [V_z,V_y,V_x,T_a] : % 183.08/183.11 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.11 => 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)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__greaterThanLessThan,axiom, % 183.08/183.11 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__atLeastLessThan,axiom, % 183.08/183.11 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_inf__min,axiom, % 183.08/183.11 ! [T_a] : % 183.08/183.11 ( ( class_Lattices_Osemilattice__inf(T_a) % 183.08/183.11 & class_Orderings_Olinorder(T_a) ) % 183.08/183.11 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_sup__max,axiom, % 183.08/183.11 ! [T_a] : % 183.08/183.11 ( ( class_Lattices_Osemilattice__sup(T_a) % 183.08/183.11 & class_Orderings_Olinorder(T_a) ) % 183.08/183.11 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 183.08/183.11 ! [T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 183.08/183.11 ! [T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_quotient__is__empty,axiom, % 183.08/183.11 ! [V_r_2,V_A_2,T_a] : % 183.08/183.11 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 183.08/183.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_quotient__is__empty2,axiom, % 183.08/183.11 ! [V_r_2,V_A_2,T_a] : % 183.08/183.11 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) % 183.08/183.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_quotient__empty,axiom, % 183.08/183.11 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 183.08/183.11 % 183.08/183.11 fof(fact_nat__minus__add__max,axiom, % 183.08/183.11 ! [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) ). % 183.08/183.11 % 183.08/183.11 fof(fact_max__Suc2,axiom, % 183.08/183.11 ! [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) ). % 183.08/183.11 % 183.08/183.11 fof(fact_max__Suc1,axiom, % 183.08/183.11 ! [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) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ofold__sup__insert,axiom, % 183.08/183.11 ! [V_a_2,V_b_2,V_A_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.11 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_min__max_Ofold__inf__insert,axiom, % 183.08/183.11 ! [V_a_2,V_b_2,V_A_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.11 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Max_Oin__idem,axiom, % 183.08/183.11 ! [V_x_2,V_A_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Min_Oin__idem,axiom, % 183.08/183.11 ! [V_x_2,V_A_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.11 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__atLeastAtMostR1,axiom, % 183.08/183.11 ! [V_d_2,V_ca_2,V_b_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__atLeastAtMostL1,axiom, % 183.08/183.11 ! [V_d_2,V_b_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__atLeastAtMostR2,axiom, % 183.08/183.11 ! [V_d_2,V_ca_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_d_2) ) ). % 183.08/183.11 % 183.08/183.11 fof(fact_Int__atLeastAtMostL2,axiom, % 183.08/183.11 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 183.08/183.11 ( class_Orderings_Olinorder(T_a) % 183.08/183.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_b_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_OF__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_OF__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_quotient__diff1,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,V_r_2,T_a] : % 183.08/183.12 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__Suc2,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__Suc1,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Osup__le__fold__sup,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Ofold1__belowI,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Obelow__fold1__iff,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) % 183.08/183.12 <=> ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_fold1__below__iff,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2)) % 183.08/183.12 <=> ? [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_strict__below__fold1__iff,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) % 183.08/183.12 <=> ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_fold1__strict__below__iff,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2)) % 183.08/183.12 <=> ? [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max__insert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min__insert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Osubset__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Osubset__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max__Un,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min__Un,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Oeq__fold__idem_H,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Oeq__fold__idem_H,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Oinsert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Oinsert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_fold1__antimono,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Oinsert__remove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Ounion__inter,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Ounion__disjoint,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Oinsert__remove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Ounion__inter,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Ounion__disjoint,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Oeq__fold_H,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Oeq__fold_H,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_dual__min,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_dual__max,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_max__ord__max,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Orderings_Oord(T_a) % 183.08/183.12 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__ord__min,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Orderings_Oord(T_a) % 183.08/183.12 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sup__nat__def,axiom, % 183.08/183.12 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 183.08/183.12 % 183.08/183.12 fof(fact_inf__nat__def,axiom, % 183.08/183.12 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__le__Sup,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Osup__Inf__absorb,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 183.08/183.12 ! [V_a_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 183.08/183.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oremove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oremove,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 ) % 183.08/183.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_quotient__def,axiom, % 183.08/183.12 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Oclosed,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_quotientI,axiom, % 183.08/183.12 ! [V_r_2,V_A_2,V_x_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_singleton__quotient,axiom, % 183.08/183.12 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__eq__UN,axiom, % 183.08/183.12 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__INT__subset,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__Int__subset,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__UN,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__empty,axiom, % 183.08/183.12 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__mono,axiom, % 183.08/183.12 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Image__Un,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Un__Image,axiom, % 183.08/183.12 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_quotientE,axiom, % 183.08/183.12 ! [V_r_2,V_A_2,V_X_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.12 => ~ ! [B_x] : % 183.08/183.12 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.12 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Oclosed,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 183.08/183.12 ! [V_N_2,V_h_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 183.08/183.12 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 183.08/183.12 ! [V_N_2,V_h_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 183.08/183.12 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__by__empty,axiom, % 183.08/183.12 ! [V_B_2,T_a,V_A_2] : % 183.08/183.12 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max_Ohom__commute,axiom, % 183.08/183.12 ! [V_N_2,V_h_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 183.08/183.12 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min_Ohom__commute,axiom, % 183.08/183.12 ! [V_N_2,V_h_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 183.08/183.12 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__nat__eq__if,axiom, % 183.08/183.12 ! [V_z_2,V_z_H_2] : % 183.08/183.12 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 183.08/183.12 => 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)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_setsum__SucD,axiom, % 183.08/183.12 ! [V_n_2,V_A_2,V_f_2,T_a] : % 183.08/183.12 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 183.08/183.12 => ? [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 & 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__neg__int,axiom, % 183.08/183.12 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__neg__1,axiom, % 183.08/183.12 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__neg__0,axiom, % 183.08/183.12 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__neg__eq__ge__0,axiom, % 183.08/183.12 ! [V_x_2] : % 183.08/183.12 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__def,axiom, % 183.08/183.12 ! [V_Z_2] : % 183.08/183.12 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__nat,axiom, % 183.08/183.12 ! [V_z] : % 183.08/183.12 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 183.08/183.12 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__neg__nat,axiom, % 183.08/183.12 ! [V_z] : % 183.08/183.12 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 183.08/183.12 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_setsum__cases,axiom, % 183.08/183.12 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_a,T_b] : % 183.08/183.12 ( class_Groups_Ocomm__monoid__add(T_b) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__mod__eq__lemma,axiom, % 183.08/183.12 ! [V_y,V_n,V_x] : % 183.08/183.12 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 183.08/183.12 => ? [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)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zdiv__zminus1__eq__if,axiom, % 183.08/183.12 ! [V_a,V_b] : % 183.08/183.12 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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)) ) % 183.08/183.12 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zdiv__zminus2__eq__if,axiom, % 183.08/183.12 ! [V_a,V_b] : % 183.08/183.12 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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)) ) % 183.08/183.12 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_inj__uminus,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_ComplI,axiom, % 183.08/183.12 ! [V_A_2,V_ca_2,T_a] : % 183.08/183.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negative__zle,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negative__zless,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_fun__Compl__def,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_b,T_a] : % 183.08/183.12 ( class_Groups_Ouminus(T_a) % 183.08/183.12 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_vimage__Compl,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zdiv__zminus__zminus,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zdiv__zminus2,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zminus__0,axiom, % 183.08/183.12 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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__divide__divide,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__divide__right,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__divide__left,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Odivision__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_ComplE,axiom, % 183.08/183.12 ! [V_A_2,V_ca_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 183.08/183.12 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_ComplD,axiom, % 183.08/183.12 ! [V_A_2,V_ca_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 183.08/183.12 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__iff,axiom, % 183.08/183.12 ! [V_A_2,V_ca_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 183.08/183.12 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zminus__zminus,axiom, % 183.08/183.12 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__minus,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_equation__minus__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 183.08/183.12 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__equation__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2 % 183.08/183.12 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__equal__iff__equal,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 183.08/183.12 <=> V_a_2 = V_b_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_double__complement,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__eq__Compl__iff,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2) % 183.08/183.12 <=> V_A_2 = V_B_2 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_double__compl,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_uminus__apply,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_b,T_a] : % 183.08/183.12 ( class_Groups_Ouminus(T_a) % 183.08/183.12 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__eq__compl__iff,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2) % 183.08/183.12 <=> V_x_2 = V_y_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_square__eq__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Oidom(T_a) % 183.08/183.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) % 183.08/183.12 <=> ( V_a_2 = V_b_2 % 183.08/183.12 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__mult__minus,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Oring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__mult__commute,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Oring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__mult__left,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Oring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__mult__right,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Oring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__add__distrib,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oab__group__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__add,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_add__minus__cancel,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__add__cancel,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__less__iff__less,axiom, % 183.08/183.12 ! [V_a_2,V_b_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__less__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__minus__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__equal__zero,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2 % 183.08/183.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__equal__0__iff__equal,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_equal__neg__zero,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) % 183.08/183.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__0__equal__iff__equal,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) % 183.08/183.12 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__zero,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmult__zminus,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zminus__zadd__distrib,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__minus__cancel,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_mod__minus__cong,axiom, % 183.08/183.12 ! [V_a_H,V_b,V_a,T_a] : % 183.08/183.12 ( class_Divides_Oring__div(T_a) % 183.08/183.12 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 183.08/183.12 => 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) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zminus__zmod,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus__zminus,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_mod__minus__eq,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Divides_Oring__div(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus2,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__diff__eq,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oab__group__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Collect__neg__eq,axiom, % 183.08/183.12 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_setsum__negf,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_b,T_a] : % 183.08/183.12 ( class_Groups_Oab__group__add(T_a) % 183.08/183.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__minus__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__le__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__le__iff__le,axiom, % 183.08/183.12 ! [V_a_2,V_b_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__imp__neg__le,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 183.08/183.12 => 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__le__compl__iff,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__mono,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 183.08/183.12 => 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__anti__mono,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__subset__Compl__iff,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__le__self__iff,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__le__0__iff__le,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__minus__self__iff,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__0__le__iff__le,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__minus__self__iff,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__less__nonneg,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__less__0__iff__less,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__0__less__iff__less,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__unique,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_ab__left__minus,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oab__group__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_left__minus,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_eq__neg__iff__add__eq__0,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 183.08/183.12 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_right__minus,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__0,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Rings_Ocomm__ring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__def,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_ab__diff__minus,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oab__group__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__minus__eq__add,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Ogroup__add(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_square__eq__1__iff,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 183.08/183.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 183.08/183.12 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a) % 183.08/183.12 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Rings_Ocomm__ring__1(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__inf__bot,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_inf__compl__bot,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__eq,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__top__eq,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__bot__eq,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__inf,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__sup,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sup__compl__top,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__sup__top,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nonzero__minus__divide__divide,axiom, % 183.08/183.12 ! [V_a,V_b,T_a] : % 183.08/183.12 ( class_Rings_Odivision__ring(T_a) % 183.08/183.12 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => 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) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nonzero__minus__divide__right,axiom, % 183.08/183.12 ! [V_a,V_b,T_a] : % 183.08/183.12 ( class_Rings_Odivision__ring(T_a) % 183.08/183.12 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => 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)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__le__D2,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__leI,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__le__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2)) % 183.08/183.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 183.08/183.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__ge__minus__self,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__less__iff,axiom, % 183.08/183.12 ! [V_b_2,V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2)) % 183.08/183.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 183.08/183.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_subset__Compl__self__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 183.08/183.12 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__UNIV__eq,axiom, % 183.08/183.12 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__empty__eq,axiom, % 183.08/183.12 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_finite__compl,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 183.08/183.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__disjoint,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__disjoint2,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__partition2,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__partition,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__Int,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__Un,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__max__eq__min,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__min__eq__max,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__atLeastAtMost,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__eq__Diff__UNIV,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__power__minus,axiom, % 183.08/183.12 ! [V_n,V_a,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zadd__zminus__inverse2,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__Diff__eq,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Diff__eq,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Diff__Compl,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negative__eq__positive,axiom, % 183.08/183.12 ! [V_m_2,V_n_2] : % 183.08/183.12 ( 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) % 183.08/183.12 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.12 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__int__zless__negative,axiom, % 183.08/183.12 ! [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)))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus1__not__zero,axiom, % 183.08/183.12 ! [V_l,V_k] : % 183.08/183.12 ( 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) % 183.08/183.12 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus2__not__zero,axiom, % 183.08/183.12 ! [V_l,V_k] : % 183.08/183.12 ( 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) % 183.08/183.12 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__int__def__symmetric,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__int__def,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Ints__minus,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__greaterThanLessThan,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__eq,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__atLeast,axiom, % 183.08/183.12 ! [V_k_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__lessThan,axiom, % 183.08/183.12 ! [V_k_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Collect__imp__eq,axiom, % 183.08/183.12 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__atMost,axiom, % 183.08/183.12 ! [V_k_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__greaterThan,axiom, % 183.08/183.12 ! [V_k_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__UN,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Compl__INT,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__minus__le__zero,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__of__nonpos,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__if,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oabs__if(T_a) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__of__neg,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_power__minus,axiom, % 183.08/183.12 ! [V_n,V_a,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_disjoint__eq__subset__Compl,axiom, % 183.08/183.12 ! [V_B_2,V_A_2,T_a] : % 183.08/183.12 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_surj__Compl__image__subset,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_a,T_b] : % 183.08/183.12 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_int__zle__neg,axiom, % 183.08/183.12 ! [V_m_2,V_n_2] : % 183.08/183.12 ( 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)))) % 183.08/183.12 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.12 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negative__zle__0,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__zminus__int,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus1__eq__if,axiom, % 183.08/183.12 ! [V_b,V_a] : % 183.08/183.12 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zmod__zminus2__eq__if,axiom, % 183.08/183.12 ! [V_b,V_a] : % 183.08/183.12 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => 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) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zabs__def,axiom, % 183.08/183.12 ! [V_i] : % 183.08/183.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__atLeastLessThan,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__greaterThanAtMost,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__zminus__int,axiom, % 183.08/183.12 ! [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))))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__greaterThan,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__lessThan,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__atMost,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_image__uminus__atLeast,axiom, % 183.08/183.12 ! [V_x_2,T_a] : % 183.08/183.12 ( class_Groups_Oordered__ab__group__add(T_a) % 183.08/183.12 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Pow__Compl,axiom, % 183.08/183.12 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_compl__unique,axiom, % 183.08/183.12 ! [V_y,V_x,T_a] : % 183.08/183.12 ( class_Lattices_Oboolean__algebra(T_a) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 183.08/183.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_inj__image__Compl__subset,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_b,T_a] : % 183.08/183.12 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_not__zle__0__negative,axiom, % 183.08/183.12 ! [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))))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negative__zless__0,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_vimage__if,axiom, % 183.08/183.12 ! [V_B_2,T_b,V_d_2,V_A_2,V_ca_2,T_a] : % 183.08/183.12 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 183.08/183.12 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 183.08/183.12 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 183.08/183.12 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 183.08/183.12 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__mult__distrib__neg,axiom, % 183.08/183.12 ! [V_z_H,V_z] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__Min__eq__Max,axiom, % 183.08/183.12 ! [V_S_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 183.08/183.12 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__Max__eq__Min,axiom, % 183.08/183.12 ! [V_S_2,T_a] : % 183.08/183.12 ( class_Groups_Olinordered__ab__group__add(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 183.08/183.12 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_z3div__def,axiom, % 183.08/183.12 ! [V_k,V_l] : % 183.08/183.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.12 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.12 => 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_z3mod__def,axiom, % 183.08/183.12 ! [V_k,V_l] : % 183.08/183.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.12 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.12 => 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)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__of__nat,axiom, % 183.08/183.12 ! [V_k,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => 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)))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => 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)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_negD,axiom, % 183.08/183.12 ! [V_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.12 => ? [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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__int__eq,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__eq__iff,axiom, % 183.08/183.12 ! [V_z_2,V_w_2,T_a] : % 183.08/183.12 ( class_Int_Oring__char__0(T_a) % 183.08/183.12 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) % 183.08/183.12 <=> V_w_2 = V_z_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__eq__0__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Int_Oring__char__0(T_a) % 183.08/183.12 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__0__eq__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Int_Oring__char__0(T_a) % 183.08/183.12 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) % 183.08/183.12 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__0,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__le__iff,axiom, % 183.08/183.12 ! [V_z_2,V_w_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__less__iff,axiom, % 183.08/183.12 ! [V_z_2,V_w_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__add,axiom, % 183.08/183.12 ! [V_z,V_w,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__mult,axiom, % 183.08/183.12 ! [V_z,V_w,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__1,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__diff,axiom, % 183.08/183.12 ! [V_z,V_w,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__of__nat__eq,axiom, % 183.08/183.12 ! [V_n,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__minus,axiom, % 183.08/183.12 ! [V_z,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Ints__of__int,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__power,axiom, % 183.08/183.12 ! [V_n,V_z,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__setsum,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_b,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__setprod,axiom, % 183.08/183.12 ! [V_A_2,V_f_2,T_b,T_a] : % 183.08/183.12 ( ( class_Groups_Ocomm__monoid__mult(T_a) % 183.08/183.12 & class_Rings_Oring__1(T_a) ) % 183.08/183.12 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__le__0__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__0__le__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__less__0__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__0__less__iff,axiom, % 183.08/183.12 ! [V_z_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__nat__nat,axiom, % 183.08/183.12 ! [V_z,T_a] : % 183.08/183.12 ( class_Rings_Oring__1(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 183.08/183.12 => 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) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__neg,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__1__neg,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__if,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Groups_Osgn__if(T_a) % 183.08/183.12 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 183.08/183.12 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_zsgn__def,axiom, % 183.08/183.12 ! [V_i] : % 183.08/183.12 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.12 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 183.08/183.12 => 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)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__sgn,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn0,axiom, % 183.08/183.12 ! [T_a] : % 183.08/183.12 ( class_Groups_Osgn__if(T_a) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__0__0,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__times,axiom, % 183.08/183.12 ! [V_b,V_a,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__less,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__greater,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_mult__sgn__abs,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => 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 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__sgn,axiom, % 183.08/183.12 ! [V_k,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__1__pos,axiom, % 183.08/183.12 ! [V_a_2,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_sgn__pos,axiom, % 183.08/183.12 ! [V_a,T_a] : % 183.08/183.12 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 183.08/183.12 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_card_Oneutral,axiom, % 183.08/183.12 ! [V_A_2,T_a] : % 183.08/183.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 183.08/183.12 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_ca_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_ca_2),V_A_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_mod__induct__0,axiom, % 183.08/183.12 ! [V_i_2,V_P_2,V_p_2] : % 183.08/183.12 ( ! [B_i] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 183.08/183.12 => ( hBOOL(hAPP(V_P_2,B_i)) % 183.08/183.12 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 183.08/183.12 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 183.08/183.12 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Min__eqI,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_y] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Max__eqI,axiom, % 183.08/183.12 ! [V_x_2,V_A_2,T_a] : % 183.08/183.12 ( class_Orderings_Olinorder(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_y] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.12 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_inf__le__fold__inf,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 183.08/183.12 ( class_Lattices_Osemilattice__inf(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_ca_2),V_A_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_fold__sup__le__sup,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 183.08/183.12 ( class_Lattices_Osemilattice__sup(T_a) % 183.08/183.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.12 => ( ! [B_x] : % 183.08/183.12 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_ca_2))) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_expand__Suc,axiom, % 183.08/183.12 ! [V_v] : % 183.08/183.12 ( 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))) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_quotient__disj,axiom, % 183.08/183.12 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.12 => ( V_X_2 = V_Y_2 % 183.08/183.12 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osize_I11_J,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osize_I3_J,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__int__number__of__eq,axiom, % 183.08/183.12 ! [V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__eq,axiom, % 183.08/183.12 ! [V_k,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__nat__number__of__lemma,axiom, % 183.08/183.12 ! [V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => ( ( 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))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ 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))) % 183.08/183.12 => 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) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I2_J,axiom, % 183.08/183.12 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 183.08/183.12 ( 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) % 183.08/183.12 <=> ( V_loc_2 = V_loc_H_2 % 183.08/183.12 & V_fun_2 = V_fun_H_2 % 183.08/183.12 & V_com_2 = V_com_H_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_eq__number__of,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.12 & class_Int_Oring__char__0(T_a) ) % 183.08/183.12 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 183.08/183.12 <=> V_x_2 = V_y_2 ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__reorient,axiom, % 183.08/183.12 ! [V_x_2,V_w_2,T_a] : % 183.08/183.12 ( class_Int_Onumber(T_a) % 183.08/183.12 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2 % 183.08/183.12 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_of__nat__number__of__eq,axiom, % 183.08/183.12 ! [V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => 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) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I10_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I11_J,axiom, % 183.08/183.12 ! [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 ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I35_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I34_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I37_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I36_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I39_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I38_J,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I41_J,axiom, % 183.08/183.12 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 183.08/183.12 % 183.08/183.12 fof(fact_com_Osimps_I40_J,axiom, % 183.08/183.12 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__number__of__eq__not__less,axiom, % 183.08/183.12 ! [V_w_2,V_v_2,T_a] : % 183.08/183.12 ( ( class_Int_Onumber(T_a) % 183.08/183.12 & class_Orderings_Olinorder(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_left__distrib__number__of,axiom, % 183.08/183.12 ! [V_v,V_b,V_a,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Rings_Osemiring(T_b) ) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_right__distrib__number__of,axiom, % 183.08/183.12 ! [V_c,V_b,V_v,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Rings_Osemiring(T_b) ) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_left__diff__distrib__number__of,axiom, % 183.08/183.12 ! [V_v,V_b,V_a,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Rings_Oring(T_b) ) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_right__diff__distrib__number__of,axiom, % 183.08/183.12 ! [V_c,V_b,V_v,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Rings_Oring(T_b) ) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__number__of,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.12 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__number__of,axiom, % 183.08/183.12 ! [V_y_2,V_x_2,T_a] : % 183.08/183.12 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.12 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_min__number__of,axiom, % 183.08/183.12 ! [V_v,V_u,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Orderings_Oord(T_b) ) % 183.08/183.12 => ( ( 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))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ 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))) % 183.08/183.12 => 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) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_max__number__of,axiom, % 183.08/183.12 ! [V_v,V_u,T_b] : % 183.08/183.12 ( ( class_Int_Onumber(T_b) % 183.08/183.12 & class_Orderings_Oord(T_b) ) % 183.08/183.12 => ( ( 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))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ 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))) % 183.08/183.12 => 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) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_add__number__of__left,axiom, % 183.08/183.12 ! [V_z,V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_add__number__of__eq,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__add,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__mult,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_arith__simps_I32_J,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_mult__number__of__left,axiom, % 183.08/183.12 ! [V_z,V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__diff,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__minus,axiom, % 183.08/183.12 ! [V_w,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_arith__simps_I30_J,axiom, % 183.08/183.12 ! [V_w,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Ints__number__of,axiom, % 183.08/183.12 ! [V_w_2,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_Union__quotient,axiom, % 183.08/183.12 ! [V_r_2,V_A_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.12 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_eq__divide__eq__number__of1,axiom, % 183.08/183.12 ! [V_w_2,V_b_2,V_a_2,T_a] : % 183.08/183.12 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) % 183.08/183.12 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 ) % 183.08/183.12 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_eq__divide__eq__number__of,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 183.08/183.12 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 183.08/183.12 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) = V_b_2 ) % 183.08/183.12 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__eq__eq__number__of,axiom, % 183.08/183.12 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) % 183.08/183.12 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) ) % 183.08/183.12 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__eq__eq__number__of1,axiom, % 183.08/183.12 ! [V_a_2,V_w_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2 % 183.08/183.12 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) % 183.08/183.12 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.12 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_add__number__of__diff1,axiom, % 183.08/183.12 ! [V_c,V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__number__of__mult,axiom, % 183.08/183.12 ! [V_z,V_w,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_diff__number__of__eq,axiom, % 183.08/183.12 ! [V_w,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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))) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__less__eq__number__of1,axiom, % 183.08/183.12 ! [V_a_2,V_w_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2)) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__less__eq__number__of,axiom, % 183.08/183.12 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__divide__eq__number__of,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__divide__eq__number__of1,axiom, % 183.08/183.12 ! [V_w_2,V_b_2,V_a_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_abs__number__of,axiom, % 183.08/183.12 ! [V_x,T_a] : % 183.08/183.12 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.12 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.12 => ( ( 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))) % 183.08/183.12 => 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)) ) % 183.08/183.12 & ( ~ 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))) % 183.08/183.12 => 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) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_add__number__of__diff2,axiom, % 183.08/183.12 ! [V_w,V_c,V_v,T_a] : % 183.08/183.12 ( class_Int_Onumber__ring(T_a) % 183.08/183.12 => 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) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__divide__eq__number__of1,axiom, % 183.08/183.12 ! [V_w_2,V_b_2,V_a_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_le__divide__eq__number__of,axiom, % 183.08/183.12 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__le__eq__number__of,axiom, % 183.08/183.12 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_divide__le__eq__number__of1,axiom, % 183.08/183.12 ! [V_a_2,V_w_2,V_b_2,T_a] : % 183.08/183.12 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.12 & class_Int_Onumber(T_a) ) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2)) % 183.08/183.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 183.08/183.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_equiv__class__self,axiom, % 183.08/183.12 ! [V_a_2,V_r_2,V_A_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_UN__equiv__class,axiom, % 183.08/183.12 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.12 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_UN__equiv__class2,axiom, % 183.08/183.12 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 183.08/183.12 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 183.08/183.12 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2)) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2)) % 183.08/183.12 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_one__mod__nat__number__of,axiom, % 183.08/183.12 ! [V_v_H] : % 183.08/183.12 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.12 => 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)) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.12 => 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_one__div__nat__number__of,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__eq__number__of__int__code,axiom, % 183.08/183.12 ! [V_l_2,V_k_2] : % 183.08/183.12 ( 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))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_less__number__of__int__code,axiom, % 183.08/183.12 ! [V_l_2,V_k_2] : % 183.08/183.12 ( 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))) % 183.08/183.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_plus__numeral__code_I9_J,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_number__of__is__id,axiom, % 183.08/183.12 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 183.08/183.12 % 183.08/183.12 fof(fact_times__numeral__code_I5_J,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__numeral__code_I5_J,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_int__number__of__def,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__number__of,axiom, % 183.08/183.12 ! [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) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__number__of__def,axiom, % 183.08/183.12 ! [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)) ). % 183.08/183.12 % 183.08/183.12 fof(fact_congruent2__implies__congruent,axiom, % 183.08/183.12 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] : % 183.08/183.12 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2) % 183.08/183.12 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2) % 183.08/183.12 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.12 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_minus__numeral__code_I6_J,axiom, % 183.08/183.12 ! [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))) ). % 183.08/183.12 % 183.08/183.12 fof(fact_neg__imp__number__of__eq__0,axiom, % 183.08/183.12 ! [V_v] : % 183.08/183.12 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_int__eq__iff__number__of,axiom, % 183.08/183.12 ! [V_v_2,V_m_2] : % 183.08/183.12 ( 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) % 183.08/183.12 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 183.08/183.12 & 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))) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_eq__nat__number__of,axiom, % 183.08/183.12 ! [V_v_H_2,V_v_2] : % 183.08/183.12 ( 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) % 183.08/183.12 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 183.08/183.12 => 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))) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 183.08/183.12 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 183.08/183.12 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 183.08/183.12 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_nat__number__of__add__left,axiom, % 183.08/183.12 ! [V_k,V_v_H,V_v] : % 183.08/183.12 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.12 => 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) ) ) ) ) ). % 183.08/183.12 % 183.08/183.12 fof(fact_int__nat__number__of,axiom, % 183.08/183.12 ! [V_v] : % 183.08/183.12 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => 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) ) % 183.08/183.12 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.12 => 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) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 183.08/183.13 => 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))) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_congruent2__implies__congruent__UN,axiom, % 183.08/183.13 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 183.08/183.13 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 183.08/183.13 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2)) % 183.08/183.13 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__nat__number__of,axiom, % 183.08/183.13 ! [V_n,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__nat__number__of__number__of,axiom, % 183.08/183.13 ! [V_w,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__nat__number__of__add,axiom, % 183.08/183.13 ! [V_n,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__nat__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_v_H_2] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_min__number__of__Suc,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I19_J,axiom, % 183.08/183.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I1_J,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Pls,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Pls__right,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__pred,axiom, % 183.08/183.13 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I2_J,axiom, % 183.08/183.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Pls__def,axiom, % 183.08/183.13 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__Pls,axiom, % 183.08/183.13 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_minus__Pls,axiom, % 183.08/183.13 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_semiring__norm_I112_J,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__Pls,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__numeral__0__right,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__numeral__0,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_bin__less__0__simps_I1_J,axiom, % 183.08/183.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_semiring__norm_I113_J,axiom, % 183.08/183.13 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__Pls,axiom, % 183.08/183.13 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__is__num__zero,axiom, % 183.08/183.13 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__diff__number__of,axiom, % 183.08/183.13 ! [V_m,V_v] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_not__neg__number__of__Pls,axiom, % 183.08/183.13 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__1__add__number__of,axiom, % 183.08/183.13 ! [V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__add__1,axiom, % 183.08/183.13 ! [V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__iff__pred__less,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__diff__1,axiom, % 183.08/183.13 ! [V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divide__Numeral0,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__number__of__0,axiom, % 183.08/183.13 ! [V_v_2] : % 183.08/183.13 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__0__number__of,axiom, % 183.08/183.13 ! [V_v_2] : % 183.08/183.13 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of2,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H_2,V_v_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H_2,V_v_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__special_I3_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__special_I1_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__special_I1_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__special_I3_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__0__number__of,axiom, % 183.08/183.13 ! [V_v_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__succ,axiom, % 183.08/183.13 ! [V_k,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__pred,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__mult__left,axiom, % 183.08/183.13 ! [V_k,V_v_H,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__nat__number__of,axiom, % 183.08/183.13 ! [V_v_H,V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__number__of__pred__iff__0,axiom, % 183.08/183.13 ! [V_v_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 183.08/183.13 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__number__of__Suc,axiom, % 183.08/183.13 ! [V_n_2,V_v_2] : % 183.08/183.13 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 183.08/183.13 <=> 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__eq__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_n_2] : % 183.08/183.13 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 183.08/183.13 <=> 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__case__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__Suc__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_n_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__number__of__Suc,axiom, % 183.08/183.13 ! [V_n_2,V_v_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__number__of__Suc,axiom, % 183.08/183.13 ! [V_n_2,V_v_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__Suc__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_n_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__nat__number__of,axiom, % 183.08/183.13 ! [V_v] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_max__Suc__number__of,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_max__number__of__Suc,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__case__add__eq__if,axiom, % 183.08/183.13 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_min__Suc__number__of,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__rec__add__eq__if,axiom, % 183.08/183.13 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__rec__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_UN__equiv__class__type2,axiom, % 183.08/183.13 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 183.08/183.13 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 183.08/183.13 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2))) % 183.08/183.13 => ( ! [B_x1] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2)) % 183.08/183.13 => ! [B_x2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__rec__0,axiom, % 183.08/183.13 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__rec__Suc,axiom, % 183.08/183.13 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),V_nat_2)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_UN__equiv__class__type,axiom, % 183.08/183.13 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( ! [B_x] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__special_I1_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__special_I3_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_iszero__0,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_iszero__def,axiom, % 183.08/183.13 ! [V_z_2,T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => ( c_Int_Oiszero(T_a,V_z_2) % 183.08/183.13 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_not__iszero__1,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_iszero__Numeral0,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__number__of__eq,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__number__of__odd__number__of,axiom, % 183.08/183.13 ! [V_v_2,V_w_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( ( 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))) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zpower__number__of__odd,axiom, % 183.08/183.13 ! [V_z_2,V_w_2] : % 183.08/183.13 ( ( 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))) % 183.08/183.13 => 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))) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__number__of__odd,axiom, % 183.08/183.13 ! [V_z_2,V_w_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( ( 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))) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I46_J,axiom, % 183.08/183.13 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I39_J,axiom, % 183.08/183.13 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I17_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__int__code_I16_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I51_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 183.08/183.13 <=> V_k_2 = V_l_2 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__eq__int__code_I16_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I34_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_bin__less__0__simps_I4_J,axiom, % 183.08/183.13 ! [V_w_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I22_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I12_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Bit1__def,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__number__of__Bit1,axiom, % 183.08/183.13 ! [V_w_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 183.08/183.13 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_minus__Bit1,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_iszero__number__of__Bit1,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Int_Oring__char__0(T_a) ) % 183.08/183.13 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__Pls,axiom, % 183.08/183.13 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__Bit1,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__numeral__1,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__numeral__1__right,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_semiring__norm_I110_J,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_numeral__1__eq__1,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I29_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I5_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divide__Numeral1,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( ( class_Fields_Ofield(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divide__numeral__1,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( ( class_Fields_Ofield(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => 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 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_one__is__num__one,axiom, % 183.08/183.13 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__numeral__1__eq__1,axiom, % 183.08/183.13 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Numeral1__eq1__nat,axiom, % 183.08/183.13 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 183.08/183.13 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_not__iszero__Numeral1,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_numeral__1__eq__Suc__0,axiom, % 183.08/183.13 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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_numeral__3__eq__3,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power3__eq__cube,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Groups_Omonoid__mult(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 183.08/183.13 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))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc3__eq__add__3,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__special_I2_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_le__special_I4_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__special_I4_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__special_I2_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__special_I3_J,axiom, % 183.08/183.13 ! [V_v,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__special_I2_J,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__diff__eq__diff__pred,axiom, % 183.08/183.13 ! [V_m,V_n] : % 183.08/183.13 ( 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)) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__mod__eq__add3__mod,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__Suc__eq__mod__add3,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__div__eq__add3__div,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__Suc__eq__div__add3,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__special_I1_J,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__special_I2_J,axiom, % 183.08/183.13 ! [V_v,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__special_I4_J,axiom, % 183.08/183.13 ! [V_x_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__special_I2_J,axiom, % 183.08/183.13 ! [V_y_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__Bit1,axiom, % 183.08/183.13 ! [V_w_2] : % 183.08/183.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 183.08/183.13 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 183.08/183.13 => 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__zmod__mult__2,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmod__number__of__Bit1,axiom, % 183.08/183.13 ! [V_v,V_w] : % 183.08/183.13 ( ( 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))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_arith__series__int,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I49_J,axiom, % 183.08/183.13 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I50_J,axiom, % 183.08/183.13 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I31_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__eq__int__code_I13_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I7_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__int__code_I13_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I14_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I48_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 183.08/183.13 <=> V_k_2 = V_l_2 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__Bit0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Bit0__def,axiom, % 183.08/183.13 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Bit0__Bit0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_minus__Bit0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Bit0__Pls,axiom, % 183.08/183.13 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I38_J,axiom, % 183.08/183.13 ! [V_l_2] : % 183.08/183.13 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 183.08/183.13 <=> c_Int_OPls = V_l_2 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I44_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 183.08/183.13 <=> V_k_2 = c_Int_OPls ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_bin__less__0__simps_I3_J,axiom, % 183.08/183.13 ! [V_w_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I27_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I21_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__eq__int__code_I14_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I32_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I4_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I10_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I16_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__int__code_I15_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Bit0__Bit1,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Bit1__Bit0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I3_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I10_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I9_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zdiv__number__of__Bit0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__number__of__Bit0,axiom, % 183.08/183.13 ! [V_w_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 183.08/183.13 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__Bit1,axiom, % 183.08/183.13 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__Bit0,axiom, % 183.08/183.13 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_iszero__number__of__Bit0,axiom, % 183.08/183.13 ! [V_w_2,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Int_Oring__char__0(T_a) ) % 183.08/183.13 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2))) % 183.08/183.13 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__Bit0,axiom, % 183.08/183.13 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__Bit1,axiom, % 183.08/183.13 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__number__of__Bit0,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__Bit0,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__eq__int__code_I15_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I33_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__int__code_I14_J,axiom, % 183.08/183.13 ! [V_k2_2,V_k1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I15_J,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_card__UNIV__bool,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__Bit1,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I8_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Bit1__Bit1,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__number__of__even,axiom, % 183.08/183.13 ! [V_w_2,V_z_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zpower__number__of__even,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_double__number__of__Bit0,axiom, % 183.08/183.13 ! [V_w,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of1,axiom, % 183.08/183.13 ! [V_n] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( 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)))) % 183.08/183.13 & 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 183.08/183.13 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__number__of__even__number__of,axiom, % 183.08/183.13 ! [V_w_2,V_v_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__2__right,axiom, % 183.08/183.13 ! [V_z,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__2,axiom, % 183.08/183.13 ! [V_z,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_one__add__one__is__two,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__power2,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__eq__power2,axiom, % 183.08/183.13 ! [V_a_2,T_a] : % 183.08/183.13 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 183.08/183.13 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_numeral__2__eq__2,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_semiring__norm_I115_J,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( class_Rings_Ocomm__semiring__1(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__eq__square,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Groups_Omonoid__mult(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 183.08/183.13 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))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__2__eq__Suc,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__2__eq__Suc_H,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_one__power2,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__minus,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Rings_Oring__1(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__mult__2__right,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__mult__2,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__even__eq,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Groups_Omonoid__mult(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_abs__power2,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__abs,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__1__add__1,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod2__Suc__Suc,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div2__Suc__Suc,axiom, % 183.08/183.13 ! [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))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmod__number__of__Bit0,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__self__div__2,axiom, % 183.08/183.13 ! [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 ). % 183.08/183.13 % 183.08/183.13 fof(fact_half__gt__zero__iff,axiom, % 183.08/183.13 ! [V_r_2,T_a] : % 183.08/183.13 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_half__gt__zero,axiom, % 183.08/183.13 ! [V_r,T_a] : % 183.08/183.13 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 183.08/183.13 => 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)))))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__eq__imp__eq,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__semidom(T_a) % 183.08/183.13 => ( 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)))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 183.08/183.13 => V_x = V_y ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__le__imp__le,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__semidom(T_a) % 183.08/183.13 => ( 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)))))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__le__power2,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => 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)))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__less__0,axiom, % 183.08/183.13 ! [V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ~ 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__less__power2,axiom, % 183.08/183.13 ! [V_a_2,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 183.08/183.13 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sum__power2__eq__zero__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__eq__square__number__of,axiom, % 183.08/183.13 ! [V_w,T_b] : % 183.08/183.13 ( ( class_Groups_Omonoid__mult(T_b) % 183.08/183.13 & class_Int_Onumber(T_b) ) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_less__2__cases,axiom, % 183.08/183.13 ! [V_n] : % 183.08/183.13 ( 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))))) % 183.08/183.13 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__2,axiom, % 183.08/183.13 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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__eq__1__iff,axiom, % 183.08/183.13 ! [V_a_2,T_a] : % 183.08/183.13 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 183.08/183.13 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) % 183.08/183.13 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a) % 183.08/183.13 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 183.08/183.13 ! [V_n,V_x,T_a] : % 183.08/183.13 ( class_Rings_Ocomm__semiring__1(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__minus__even,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Rings_Oring__1(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__less__imp__less,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__semidom(T_a) % 183.08/183.13 => ( 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)))))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sum__power2__ge__zero,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => 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))))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sum__power2__le__zero__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.13 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sum__power2__gt__zero__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 183.08/183.13 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 183.08/183.13 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_not__sum__power2__lt__zero,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ~ 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__sum,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__le__even__power_H,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__odd__eq,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Groups_Omonoid__mult(T_a) % 183.08/183.13 => 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 183.08/183.13 ! [V_n,V_x,T_a] : % 183.08/183.13 ( class_Rings_Ocomm__semiring__1(T_a) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__minus1__even,axiom, % 183.08/183.13 ! [V_n,T_a] : % 183.08/183.13 ( class_Rings_Oring__1(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zdiv__number__of__Bit1,axiom, % 183.08/183.13 ! [V_v,V_w] : % 183.08/183.13 ( ( 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))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod2__gr__0,axiom, % 183.08/183.13 ! [V_m_2] : % 183.08/183.13 ( 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)))))) % 183.08/183.13 <=> 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__2__gt__zero,axiom, % 183.08/183.13 ! [V_n] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 183.08/183.13 => 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)))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power2__diff,axiom, % 183.08/183.13 ! [V_y,V_x,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_odd__0__le__power__imp__0__le,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( 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))))) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_odd__power__less__zero,axiom, % 183.08/183.13 ! [V_n,V_a,T_a] : % 183.08/183.13 ( class_Rings_Olinordered__idom(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__minus1__odd,axiom, % 183.08/183.13 ! [V_n,T_a] : % 183.08/183.13 ( class_Rings_Oring__1(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Suc__n__div__2__gt__zero,axiom, % 183.08/183.13 ! [V_n] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 183.08/183.13 => 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)))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_of__nat__double,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pos__zmod__mult__2,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__zdiv__mult__2,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pos__zdiv__mult__2,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_int__of__code,axiom, % 183.08/183.13 ! [V_k] : % 183.08/183.13 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.08/183.13 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.13 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.08/183.13 => ( ( 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) % 183.08/183.13 => 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)))))) ) % 183.08/183.13 & ( 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) % 183.08/183.13 => 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)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_of__int__num,axiom, % 183.08/183.13 ! [V_k_2,T_a] : % 183.08/183.13 ( class_Rings_Oring__1(T_a) % 183.08/183.13 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) ) % 183.08/183.13 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__m1__odd,axiom, % 183.08/183.13 ! [V_n,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I45_J,axiom, % 183.08/183.13 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I42_J,axiom, % 183.08/183.13 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I37_J,axiom, % 183.08/183.13 c_Int_OPls != c_Int_OMin ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I40_J,axiom, % 183.08/183.13 c_Int_OMin != c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I7_J,axiom, % 183.08/183.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_code__numeral__zero__minus__one,axiom, % 183.08/183.13 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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I24_J,axiom, % 183.08/183.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I47_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 183.08/183.13 <=> V_k_2 = c_Int_OMin ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I43_J,axiom, % 183.08/183.13 ! [V_l_2] : % 183.08/183.13 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 183.08/183.13 <=> c_Int_OMin = V_l_2 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Bit1__Min,axiom, % 183.08/183.13 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 183.08/183.13 % 183.08/183.13 fof(fact_bin__less__0__simps_I2_J,axiom, % 183.08/183.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I23_J,axiom, % 183.08/183.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I20_J,axiom, % 183.08/183.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I26_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I30_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I3_J,axiom, % 183.08/183.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I6_J,axiom, % 183.08/183.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I13_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I9_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I28_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I8_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__number__of__Pls__Min,axiom, % 183.08/183.13 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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Int_OMin__def,axiom, % 183.08/183.13 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__Min,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_neg__number__of__Min,axiom, % 183.08/183.13 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__Pls,axiom, % 183.08/183.13 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Min__right,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_add__Min,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__Min,axiom, % 183.08/183.13 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nonzero__number__of__Min,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_succ__Min,axiom, % 183.08/183.13 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I2_J,axiom, % 183.08/183.13 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__minus1,axiom, % 183.08/183.13 ! [V_z,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mult__minus1__right,axiom, % 183.08/183.13 ! [V_z,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_number__of__Min,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_arith__simps_I31_J,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_abs__minus__one,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divide__minus1,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I25_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rel__simps_I11_J,axiom, % 183.08/183.13 ! [V_k_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmod__minus1__right,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I4_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_minus__Min,axiom, % 183.08/183.13 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmult__eq__1__iff,axiom, % 183.08/183.13 ! [V_n_2,V_m_2] : % 183.08/183.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 183.08/183.13 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 183.08/183.13 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 183.08/183.13 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 183.08/183.13 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 183.08/183.13 ! [V_n,V_m] : % 183.08/183.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 183.08/183.13 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 183.08/183.13 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I6_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_diff__bin__simps_I5_J,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_of__int__m1,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zdiv__minus1__right,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zero__code__numeral__code,axiom, % 183.08/183.13 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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_minus1__divide,axiom, % 183.08/183.13 ! [V_x,T_a] : % 183.08/183.13 ( ( class_Fields_Ofield__inverse__zero(T_a) % 183.08/183.13 & class_Int_Onumber__ring(T_a) ) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_abs__power__minus__one,axiom, % 183.08/183.13 ! [V_n,T_a] : % 183.08/183.13 ( ( class_Int_Onumber__ring(T_a) % 183.08/183.13 & class_Rings_Olinordered__idom(T_a) ) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__eq__minus1,axiom, % 183.08/183.13 ! [V_b] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__pos__neg__trivial,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( 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))) % 183.08/183.13 => 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) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmod__minus1,axiom, % 183.08/183.13 ! [V_b] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => 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)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_one__code__numeral__code,axiom, % 183.08/183.13 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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_power__m1__even,axiom, % 183.08/183.13 ! [V_n,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nitpick_OFrac__def,axiom, % 183.08/183.13 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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_int__ge__less__than__def,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_int__ge__less__than2__def,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inj__graph,axiom, % 183.08/183.13 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nitpick_Oprod__def,axiom, % 183.08/183.13 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__of__aux__code,axiom, % 183.08/183.13 ! [V_n,V_i] : % 183.08/183.13 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.08/183.13 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 183.08/183.13 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__def,axiom, % 183.08/183.13 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__correct,axiom, % 183.08/183.13 ! [V_a,V_b] : % 183.08/183.13 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmult2__lemma,axiom, % 183.08/183.13 ! [V_c,V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_code__numeral_Osize_I1_J,axiom, % 183.08/183.13 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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nats__number__of,axiom, % 183.08/183.13 ! [V_w_2,T_a] : % 183.08/183.13 ( class_Int_Onumber__ring(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sup__Un__eq2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__subset__eq2,axiom, % 183.08/183.13 ! [V_S_2,V_R_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pred__equals__eq2,axiom, % 183.08/183.13 ! [V_S_2,V_R_2,T_b,T_a] : % 183.08/183.13 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2) % 183.08/183.13 <=> V_R_2 = V_S_2 ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inf__Int__eq2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_bot__empty__eq2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_congruent2D,axiom, % 183.08/183.13 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2)) % 183.08/183.13 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_congruentD,axiom, % 183.08/183.13 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2)) % 183.08/183.13 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rev__ImageI,axiom, % 183.08/183.13 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Image__iff,axiom, % 183.08/183.13 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2))) % 183.08/183.13 <=> ? [B_x] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_unique__remainder,axiom, % 183.08/183.13 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( 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))) % 183.08/183.13 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => V_r = V_r_H ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_unique__quotient,axiom, % 183.08/183.13 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( 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))) % 183.08/183.13 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => V_q = V_q_H ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_self__remainder,axiom, % 183.08/183.13 ! [V_r,V_q,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__0,axiom, % 183.08/183.13 ! [V_b] : % 183.08/183.13 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_SUP__UN__eq2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_INF__INT__eq2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_self__quotient,axiom, % 183.08/183.13 ! [V_r,V_q,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__mod,axiom, % 183.08/183.13 ! [V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__div,axiom, % 183.08/183.13 ! [V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nats__0,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__mod__div,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nats__add,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nats__mult,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nats__1,axiom, % 183.08/183.13 ! [T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_of__nat__in__Nats,axiom, % 183.08/183.13 ! [V_n_2,T_a] : % 183.08/183.13 ( class_Rings_Osemiring__1(T_a) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Image__singleton__iff,axiom, % 183.08/183.13 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_equiv__class__eq,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.08/183.13 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_quotient__eq__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2)) % 183.08/183.13 => ( V_X_2 = V_Y_2 % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_quotient__eqI,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.08/183.13 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__div__mod,axiom, % 183.08/183.13 ! [V_a,V_b] : % 183.08/183.13 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Image__singleton,axiom, % 183.08/183.13 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__equiv__class,axiom, % 183.08/183.13 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] : % 183.08/183.13 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.13 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__equiv__class__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 183.08/183.13 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_equiv__class__eq__iff,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.08/183.13 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_equiv__class__subset,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_eq__equiv__class__iff2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 183.08/183.13 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zadd1__lemma,axiom, % 183.08/183.13 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( 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))) % 183.08/183.13 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zminus1__lemma,axiom, % 183.08/183.13 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2))) % 183.08/183.13 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_subset__equiv__class,axiom, % 183.08/183.13 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_equiv__class__nondisjoint,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__relI,axiom, % 183.08/183.13 ! [V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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) % 183.08/183.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 183.08/183.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_zmult1__lemma,axiom, % 183.08/183.13 ! [V_a,V_r,V_q,V_c,V_b] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pair__imageI,axiom, % 183.08/183.13 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_norm__frac_Osimps,axiom, % 183.08/183.13 ! [V_a_2,V_b_2] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 183.08/183.13 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_adjust__eq,axiom, % 183.08/183.13 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sup2E,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 183.08/183.13 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sup2CI,axiom, % 183.08/183.13 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] : % 183.08/183.13 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inf2E,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 183.08/183.13 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 183.08/183.13 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inf2I,axiom, % 183.08/183.13 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mem__splitI,axiom, % 183.08/183.13 ! [T_c,T_b,V_b_2,V_a_2,V_ca_2,V_z_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2))) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_splitI,axiom, % 183.08/183.13 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_prod__caseI,axiom, % 183.08/183.13 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_bot2E,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_swap__inj__on,axiom, % 183.08/183.13 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_splitD_H,axiom, % 183.08/183.13 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_ca_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inf2D2,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_inf2D1,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_predicate2D,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_rev__predicate2D,axiom, % 183.08/183.13 ! [V_Q_2,T_b,T_a,V_y_2,V_x_2,V_P_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sup2I1,axiom, % 183.08/183.13 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_sup2I2,axiom, % 183.08/183.13 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Pair__inject,axiom, % 183.08/183.13 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 183.08/183.13 ( 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) % 183.08/183.13 => ~ ( V_a = V_a_H % 183.08/183.13 => V_b != V_b_H ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Pair__eq,axiom, % 183.08/183.13 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.13 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2) % 183.08/183.13 <=> ( V_a_2 = V_a_H_2 % 183.08/183.13 & V_b_2 = V_b_H_2 ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__paired__All,axiom, % 183.08/183.13 ! [T_b,T_a,V_P_2] : % 183.08/183.13 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 183.08/183.13 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__weak__cong,axiom, % 183.08/183.13 ! [V_ca_2,T_c,T_b,T_a,V_q_2,V_p_2] : % 183.08/183.13 ( V_p_2 = V_q_2 % 183.08/183.13 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_q_2) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__twice,axiom, % 183.08/183.13 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__conv,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_prod_Osimps_I2_J,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_splitD,axiom, % 183.08/183.13 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__eta,axiom, % 183.08/183.13 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ). % 183.08/183.13 % 183.08/183.13 fof(fact_split__paired__The,axiom, % 183.08/183.13 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_P_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_The__split__eq,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_adjust__def,axiom, % 183.08/183.13 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_in__rel__def,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2)) % 183.08/183.13 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__mod__code__numeral__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 183.08/183.13 ! [V_w] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( 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)))) % 183.08/183.13 => 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))) ) % 183.08/183.13 & ( ~ 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)))) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__correct,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__div__mod,axiom, % 183.08/183.13 ! [V_l,V_k] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__minus1,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg_Osimps,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( ( ( 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))) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ ( 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))) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__eqn,axiom, % 183.08/183.13 ! [V_a,V_b] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => ( ( 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))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg__eqn__number__of,axiom, % 183.08/183.13 ! [V_w,V_v] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( 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)))) % 183.08/183.13 => 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))) ) % 183.08/183.13 & ( ~ 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)))) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_Nitpick_Orefl_H__def,axiom, % 183.08/183.13 ! [V_r_2,T_a] : % 183.08/183.13 ( c_Nitpick_Orefl_H(T_a,V_r_2) % 183.08/183.13 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 183.08/183.13 ! [V_w] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( 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))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg_Osimps,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => 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))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__0,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__correct,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__div__mod,axiom, % 183.08/183.13 ! [V_l,V_k] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__eqn__number__of,axiom, % 183.08/183.13 ! [V_w,V_v] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( 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))) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( ~ 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))) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg__eqn,axiom, % 183.08/183.13 ! [V_a,V_b] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 183.08/183.13 => 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))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__def,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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))) ) ) ) ) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => 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))) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__step,axiom, % 183.08/183.13 ! [V_m,V_n] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__pdivmod,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_apsnd__compose,axiom, % 183.08/183.13 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negateSnd__def,axiom, % 183.08/183.13 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_apsnd__conv,axiom, % 183.08/183.13 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__zero,axiom, % 183.08/183.13 ! [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) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__base,axiom, % 183.08/183.13 ! [V_n,V_m] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 183.08/183.13 => 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) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negateSnd__eq,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__div__mod,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__rel__neg,axiom, % 183.08/183.13 ! [V_qr,V_b,V_a] : % 183.08/183.13 ( 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)) % 183.08/183.13 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__if,axiom, % 183.08/183.13 ! [V_m_2,V_n_2] : % 183.08/183.13 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pdivmod__def,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_pdivmod__posDivAlg,axiom, % 183.08/183.13 ! [V_k,V_l] : % 183.08/183.13 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__int__code,axiom, % 183.08/183.13 ! [V_l_2,V_k_2] : % 183.08/183.13 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)) ) % 183.08/183.13 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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) ) % 183.08/183.13 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 => 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)))) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_UN__equiv__class__inject,axiom, % 183.08/183.13 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 183.08/183.13 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.13 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 183.08/183.13 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.13 => ( ! [B_x] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.13 => ! [B_y] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 183.08/183.13 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) ) % 183.08/183.13 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 183.08/183.13 ! [V_a,V_r,V_q,V_c,V_b] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 183.08/183.13 => 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 183.08/183.13 ! [V_c,V_r,V_q,V_b,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel__unique,axiom, % 183.08/183.13 ! [V_qr_H,V_qr,V_n,V_m] : % 183.08/183.13 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 183.08/183.13 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 183.08/183.13 => V_qr = V_qr_H ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 183.08/183.13 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__eq,axiom, % 183.08/183.13 ! [V_qr,V_n,V_m] : % 183.08/183.13 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 183.08/183.13 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__eq,axiom, % 183.08/183.13 ! [V_r,V_q,V_n,V_m] : % 183.08/183.13 ( 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))) % 183.08/183.13 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__eq,axiom, % 183.08/183.13 ! [V_r,V_q,V_n,V_m] : % 183.08/183.13 ( 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))) % 183.08/183.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel,axiom, % 183.08/183.13 ! [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)))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_divmod__nat__rel__add1__eq,axiom, % 183.08/183.13 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( 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))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 183.08/183.13 => 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)))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg_Opsimps,axiom, % 183.08/183.13 ! [V_b_2,V_a_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 183.08/183.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) ) % 183.08/183.13 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg_Opsimps,axiom, % 183.08/183.13 ! [V_b_2,V_a_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 183.08/183.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) ) % 183.08/183.13 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__pos__neg__1__number__of,axiom, % 183.08/183.13 ! [V_w] : % 183.08/183.13 ( 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))) % 183.08/183.13 => 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_apsnd__eq__conv,axiom, % 183.08/183.13 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] : % 183.08/183.13 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2) % 183.08/183.13 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_snd__apsnd,axiom, % 183.08/183.13 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_snd__def,axiom, % 183.08/183.13 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ). % 183.08/183.13 % 183.08/183.13 fof(fact_snd__conv,axiom, % 183.08/183.13 ! [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 ). % 183.08/183.13 % 183.08/183.13 fof(fact_snd__eqD,axiom, % 183.08/183.13 ! [V_a,V_y,V_x,T_a,T_b] : % 183.08/183.13 ( 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 % 183.08/183.13 => V_y = V_a ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__int__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__neg__pos,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__pos__pos,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.13 => 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)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__pos__pos__1__number__of,axiom, % 183.08/183.13 ! [V_w] : % 183.08/183.13 ( 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))) % 183.08/183.13 => 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__pos__neg,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__neg__neg,axiom, % 183.08/183.13 ! [V_b,V_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => 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)))) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_norm__frac_Opsimps,axiom, % 183.08/183.13 ! [V_b_2,V_a_2] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 183.08/183.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 183.08/183.13 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 183.08/183.13 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 183.08/183.13 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_negDivAlg_Opinduct,axiom, % 183.08/183.13 ! [V_P_2,V_a1_2,V_a0_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ! [B_a,B_b] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( ~ ( 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))) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_posDivAlg_Opinduct,axiom, % 183.08/183.13 ! [V_P_2,V_a1_2,V_a0_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ! [B_a,B_b] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 183.08/183.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_mod__nat__def,axiom, % 183.08/183.13 ! [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)) ). % 183.08/183.13 % 183.08/183.13 fof(fact_accp__subset,axiom, % 183.08/183.13 ! [V_R2_2,V_R1_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 183.08/183.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_irrefl__def,axiom, % 183.08/183.13 ! [V_r_2,T_a] : % 183.08/183.13 ( c_Relation_Oirrefl(T_a,V_r_2) % 183.08/183.13 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_norm__frac_Opinduct,axiom, % 183.08/183.13 ! [V_P_2,V_a1_2,V_a0_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ! [B_a,B_b] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_accp_Osimps,axiom, % 183.08/183.13 ! [V_a_2,V_r_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) % 183.08/183.13 <=> ! [B_x] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 183.08/183.13 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_accp_Oequations,axiom, % 183.08/183.13 ! [V_a_2,V_r_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) % 183.08/183.13 <=> ! [B_x] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 183.08/183.13 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_accp__downward,axiom, % 183.08/183.13 ! [V_a_2,V_b_2,V_r_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)) % 183.08/183.13 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 183.08/183.13 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__gcd_Opsimps,axiom, % 183.08/183.13 ! [V_y_2,V_x_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 183.08/183.13 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 => 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)) ) ) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat_Osize_I2_J,axiom, % 183.08/183.13 ! [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))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_in__measure,axiom, % 183.08/183.13 ! [V_f_2,V_y_2,V_x_2,T_a] : % 183.08/183.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))) % 183.08/183.13 <=> 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))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat_Osize_I1_J,axiom, % 183.08/183.13 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.08/183.13 % 183.08/183.13 fof(fact_div__pos__neg__1__number__of,axiom, % 183.08/183.13 ! [V_w] : % 183.08/183.13 ( 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))) % 183.08/183.13 => 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))))) ) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__def,axiom, % 183.08/183.13 ! [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)))))) ). % 183.08/183.13 % 183.08/183.13 fof(fact_nat__gcd_Opinduct,axiom, % 183.08/183.13 ! [V_P_2,V_a1_2,V_a0_2] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ! [B_x,B_y] : % 183.08/183.13 ( 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))) % 183.08/183.13 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.13 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__apsnd,axiom, % 183.08/183.14 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__def,axiom, % 183.08/183.14 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Rep__Integ__inject,axiom, % 183.08/183.14 ! [V_y_2,V_x_2] : % 183.08/183.14 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 183.08/183.14 <=> V_x_2 = V_y_2 ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__conv,axiom, % 183.08/183.14 ! [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 ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__eqD,axiom, % 183.08/183.14 ! [V_a,V_y,V_x,T_b,T_a] : % 183.08/183.14 ( 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 % 183.08/183.14 => V_x = V_a ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Pair__fst__snd__eq,axiom, % 183.08/183.14 ! [T_b,T_a,V_t_2,V_s_2] : % 183.08/183.14 ( V_s_2 = V_t_2 % 183.08/183.14 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2) % 183.08/183.14 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_prod__eqI,axiom, % 183.08/183.14 ! [V_q,V_p,T_b,T_a] : % 183.08/183.14 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 183.08/183.14 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 183.08/183.14 => V_p = V_q ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_surjective__pairing,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__collapse,axiom, % 183.08/183.14 ! [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 ). % 183.08/183.14 % 183.08/183.14 fof(fact_prod__case__beta,axiom, % 183.08/183.14 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__int__def,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__beta,axiom, % 183.08/183.14 ! [V_z_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__comp__eq,axiom, % 183.08/183.14 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__def,axiom, % 183.08/183.14 ! [V_p_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__comp,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_The__split,axiom, % 183.08/183.14 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__neg__pos,axiom, % 183.08/183.14 ! [V_b,V_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.14 => 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)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__pos__pos,axiom, % 183.08/183.14 ! [V_b,V_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 183.08/183.14 => 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)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__pos__pos__1__number__of,axiom, % 183.08/183.14 ! [V_w] : % 183.08/183.14 ( 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))) % 183.08/183.14 => 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))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__pos__neg,axiom, % 183.08/183.14 ! [V_b,V_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.14 => 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)))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__neg__neg,axiom, % 183.08/183.14 ! [V_b,V_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 183.08/183.14 => 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)))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_prod__size__simp,axiom, % 183.08/183.14 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_exI__realizer,axiom, % 183.08/183.14 ! [T_a,T_b,V_x_2,V_y_2,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_conjI__realizer,axiom, % 183.08/183.14 ! [T_b,T_a,V_q_2,V_Q_2,V_p_2,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,V_p_2)) % 183.08/183.14 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 183.08/183.14 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) % 183.08/183.14 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_div__nat__def,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_divmod__nat__rel__def,axiom, % 183.08/183.14 ! [V_qr_2,V_n_2,V_m_2] : % 183.08/183.14 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 183.08/183.14 <=> ( 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)) % 183.08/183.14 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.14 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 183.08/183.14 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.08/183.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 183.08/183.14 => ( 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))) % 183.08/183.14 & 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)) ) ) % 183.08/183.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 183.08/183.14 => ( 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))) % 183.08/183.14 & 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))) ) ) ) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_inv__image__def,axiom, % 183.08/183.14 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mlex__leq,axiom, % 183.08/183.14 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] : % 183.08/183.14 ( 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))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osize_I2_J,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Oinject,axiom, % 183.08/183.14 ! [V_code__numeral_H_2,V_code__numeral_2] : % 183.08/183.14 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 183.08/183.14 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osimps_I3_J,axiom, % 183.08/183.14 ! [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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osimps_I2_J,axiom, % 183.08/183.14 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 183.08/183.14 % 183.08/183.14 fof(fact_in__inv__image,axiom, % 183.08/183.14 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2))) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Suc__code__numeral__minus__one,axiom, % 183.08/183.14 ! [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 ). % 183.08/183.14 % 183.08/183.14 fof(fact_mlex__less,axiom, % 183.08/183.14 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] : % 183.08/183.14 ( 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))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osize_I4_J,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rp__inv__image__def,axiom, % 183.08/183.14 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__psubset__def,axiom, % 183.08/183.14 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osize_I3_J,axiom, % 183.08/183.14 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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_in__finite__psubset,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a))) % 183.08/183.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.08/183.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_nat_Osize_I4_J,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_prod_Orecs,axiom, % 183.08/183.14 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_in__lex__prod,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))) % 183.08/183.14 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2)) % 183.08/183.14 | ( V_a_2 = V_a_H_2 % 183.08/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_nat__size,axiom, % 183.08/183.14 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 183.08/183.14 % 183.08/183.14 fof(fact_nat_Osize_I3_J,axiom, % 183.08/183.14 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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_same__fstI,axiom, % 183.08/183.14 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equivp__equiv,axiom, % 183.08/183.14 ! [V_A_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2) % 183.08/183.14 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__apsnd,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__conv,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__eq__conv,axiom, % 183.08/183.14 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] : % 183.08/183.14 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2) % 183.08/183.14 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__apfst,axiom, % 183.08/183.14 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_snd__apfst,axiom, % 183.08/183.14 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_identity__equivp,axiom, % 183.08/183.14 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equivp__def,axiom, % 183.08/183.14 ! [V_R_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 183.08/183.14 <=> ! [B_x,B_y] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 183.08/183.14 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equivp__reflp,axiom, % 183.08/183.14 ! [V_x_2,V_R_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equivp__symp,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_R_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equivp__transp,axiom, % 183.08/183.14 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__compose,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apsnd__apfst__commute,axiom, % 183.08/183.14 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apsnd__apfst,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__lessI2,axiom, % 183.08/183.14 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_ImageE,axiom, % 183.08/183.14 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2))) % 183.08/183.14 => ~ ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mlex__prod__def,axiom, % 183.08/183.14 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__less__def,axiom, % 183.08/183.14 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 183.08/183.14 % 183.08/183.14 fof(fact_measure__def,axiom, % 183.08/183.14 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ). % 183.08/183.14 % 183.08/183.14 fof(fact_less__than__iff,axiom, % 183.08/183.14 ! [V_y_2,V_x_2] : % 183.08/183.14 ( 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)) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__lessI1,axiom, % 183.08/183.14 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__leqI2,axiom, % 183.08/183.14 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_smin__insertI,axiom, % 183.08/183.14 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => 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)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_smax__insertI,axiom, % 183.08/183.14 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => 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)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_smin__emptyI,axiom, % 183.08/183.14 ! [V_X_2] : % 183.08/183.14 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 183.08/183.14 => 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)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_smax__emptyI,axiom, % 183.08/183.14 ! [V_Y_2] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 183.08/183.14 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 183.08/183.14 => 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)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pair__leqI1,axiom, % 183.08/183.14 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wmax__insertI,axiom, % 183.08/183.14 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => 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)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wmin__insertI,axiom, % 183.08/183.14 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => ( 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)) % 183.08/183.14 => 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)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Field__insert,axiom, % 183.08/183.14 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Field__Union,axiom, % 183.08/183.14 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Field__empty,axiom, % 183.08/183.14 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mono__Field,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Field__Un,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__Field,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wmax__emptyI,axiom, % 183.08/183.14 ! [V_X_2] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 183.08/183.14 => 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)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wmin__emptyI,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_min__weak__def,axiom, % 183.08/183.14 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)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__weak__def,axiom, % 183.08/183.14 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)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__def,axiom, % 183.08/183.14 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__def_H,axiom, % 183.08/183.14 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__empty,axiom, % 183.08/183.14 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Image__Id__on,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__iff,axiom, % 183.08/183.14 ! [V_A_2,V_y_2,V_x_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2))) % 183.08/183.14 <=> ( V_x_2 = V_y_2 % 183.08/183.14 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__eqI,axiom, % 183.08/183.14 ! [V_A_2,T_a,V_b_2,V_a_2] : % 183.08/183.14 ( V_a_2 = V_b_2 % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__strict__def,axiom, % 183.08/183.14 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__ext__additive,axiom, % 183.08/183.14 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_min__strict__def,axiom, % 183.08/183.14 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__extp__max__ext__eq,axiom, % 183.08/183.14 ! [V_xa_2,V_x_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__rpair__set,axiom, % 183.08/183.14 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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_min__rpair__set,axiom, % 183.08/183.14 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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rp__inv__image__rp,axiom, % 183.08/183.14 ! [V_f_2,T_b,V_P_2,T_a] : % 183.08/183.14 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 183.08/183.14 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_P_2),V_f_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equiv__intrel__iff,axiom, % 183.08/183.14 ! [V_y_2,V_x_2] : % 183.08/183.14 ( 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)))) % 183.08/183.14 <=> 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)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_intrel__iff,axiom, % 183.08/183.14 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 183.08/183.14 ( 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)) % 183.08/183.14 <=> 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) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__onE,axiom, % 183.08/183.14 ! [V_A_2,V_ca_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_ca_2),c_Relation_OId__on(T_a,V_A_2))) % 183.08/183.14 => ~ ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equiv__intrel,axiom, % 183.08/183.14 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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_of__int,axiom, % 183.08/183.14 ! [V_j_2,V_i_2,T_a] : % 183.08/183.14 ( class_Rings_Oring__1(T_a) % 183.08/183.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_One__int__def,axiom, % 183.08/183.14 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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mult,axiom, % 183.08/183.14 ! [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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Rep__Integ__inverse,axiom, % 183.08/183.14 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_minus,axiom, % 183.08/183.14 ! [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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Zero__int__def,axiom, % 183.08/183.14 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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_int__def,axiom, % 183.08/183.14 ! [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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_add,axiom, % 183.08/183.14 ! [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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_nat,axiom, % 183.08/183.14 ! [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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_minus__int__def,axiom, % 183.08/183.14 ! [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))))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_less,axiom, % 183.08/183.14 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 183.08/183.14 ( 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))))))) % 183.08/183.14 <=> 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))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_le,axiom, % 183.08/183.14 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 183.08/183.14 ( 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))))))) % 183.08/183.14 <=> 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))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_eq__Abs__Integ,axiom, % 183.08/183.14 ! [V_z_2] : % 183.08/183.14 ~ ! [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))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Integ__def,axiom, % 183.08/183.14 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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osimps_I5_J,axiom, % 183.08/183.14 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Rep__Integ,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_code__numeral_Osimps_I4_J,axiom, % 183.08/183.14 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition__Integ,axiom, % 183.08/183.14 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) ). % 183.08/183.14 % 183.08/183.14 fof(fact_accp__acc__eq,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2)) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__def,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_s_2))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__compI,axiom, % 183.08/183.14 ! [V_s_2,V_ca_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_ca_2)),V_s_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__UNION__distrib,axiom, % 183.08/183.14 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__UNION__distrib2,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__empty1,axiom, % 183.08/183.14 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__empty2,axiom, % 183.08/183.14 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__distrib,axiom, % 183.08/183.14 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__distrib2,axiom, % 183.08/183.14 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__mono,axiom, % 183.08/183.14 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_O__assoc,axiom, % 183.08/183.14 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_union__comp__emptyR,axiom, % 183.08/183.14 ! [V_C_2,V_B_2,V_A_2,T_a] : % 183.08/183.14 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.14 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.14 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_union__comp__emptyL,axiom, % 183.08/183.14 ! [V_B_2,V_C_2,V_A_2,T_a] : % 183.08/183.14 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.14 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.14 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_acc__subset,axiom, % 183.08/183.14 ! [V_R2_2,V_R1_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_acc__downward,axiom, % 183.08/183.14 ! [V_a_2,V_r_2,V_b_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_acc_Osimps,axiom, % 183.08/183.14 ! [V_r_2,V_a_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 183.08/183.14 <=> ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__ext__compat,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_min__ext__compat,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_OAbs__image,axiom, % 183.08/183.14 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_ORep__range,axiom, % 183.08/183.14 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_ORep,axiom, % 183.08/183.14 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_ORep__inject,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 183.08/183.14 <=> V_x_2 = V_y_2 ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_ORep__inverse,axiom, % 183.08/183.14 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_OAbs__inject,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 183.08/183.14 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 183.08/183.14 <=> V_x_2 = V_y_2 ) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_type__definition_OAbs__inverse,axiom, % 183.08/183.14 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 183.08/183.14 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 183.08/183.14 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pred__comp__rel__comp__eq,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_s_2)),V_x_2),V_y_2)) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_reduction__pairI,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 183.08/183.14 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__extp_Oequations,axiom, % 183.08/183.14 ! [V_a2_2,V_a1_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2) % 183.08/183.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2)) % 183.08/183.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2)) % 183.08/183.14 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 & ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2)) % 183.08/183.14 => ? [B_xa] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2)) % 183.08/183.14 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__less__than,axiom, % 183.08/183.14 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pred__comp_Ointros,axiom, % 183.08/183.14 ! [T_c,T_b,T_a,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__empty,axiom, % 183.08/183.14 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__inv__image,axiom, % 183.08/183.14 ! [V_f_2,T_b,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__lex__prod,axiom, % 183.08/183.14 ! [V_rb_2,T_b,V_ra_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_ra_2) % 183.08/183.14 => ( c_Wellfounded_Owf(T_b,V_rb_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__measure,axiom, % 183.08/183.14 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__comp__self,axiom, % 183.08/183.14 ! [V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__subset,axiom, % 183.08/183.14 ! [V_p_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2)) % 183.08/183.14 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_min__ext__wf,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__less,axiom, % 183.08/183.14 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)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__finite__psubset,axiom, % 183.08/183.14 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pred__comp_Oequations,axiom, % 183.08/183.14 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a1_2),V_a3_2)) % 183.08/183.14 <=> ? [B_b] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 183.08/183.14 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__Int2,axiom, % 183.08/183.14 ! [V_r_H_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__Int1,axiom, % 183.08/183.14 ! [V_r_H_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__mlex,axiom, % 183.08/183.14 ! [V_f_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__pair__less,axiom, % 183.08/183.14 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__ext__wf,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__not__refl,axiom, % 183.08/183.14 ! [V_a_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__not__sym,axiom, % 183.08/183.14 ! [V_x_2,V_a_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2)) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__asym,axiom, % 183.08/183.14 ! [V_x_2,V_a_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2)) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__irrefl,axiom, % 183.08/183.14 ! [V_a_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__int__ge__less__than2,axiom, % 183.08/183.14 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__int__ge__less__than,axiom, % 183.08/183.14 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_acc__wfD,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__acc__iff,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__no__loop,axiom, % 183.08/183.14 ! [V_R_2,T_a] : % 183.08/183.14 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.08/183.14 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__union__merge,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) % 183.08/183.14 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 <=> ~ ? [B_f] : % 183.08/183.14 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfE__pf,axiom, % 183.08/183.14 ! [V_A_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2))) % 183.08/183.14 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__union__compatible,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 => ( c_Wellfounded_Owf(T_a,V_S_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf,axiom, % 183.08/183.14 ! [T_a] : % 183.08/183.14 ( class_Orderings_Owellorder(T_a) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_reduction__pair__def,axiom, % 183.08/183.14 ! [V_P_2,T_a] : % 183.08/183.14 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 183.08/183.14 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)) % 183.08/183.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_reduction__pair__lemma,axiom, % 183.08/183.14 ! [V_S_2,V_R_2,V_P_2,T_a] : % 183.08/183.14 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) % 183.08/183.14 => ( c_Wellfounded_Owf(T_a,V_S_2) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__lenlex,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__if__measure,axiom, % 183.08/183.14 ! [T_a,V_g_2,V_f_2,V_P_2] : % 183.08/183.14 ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,B_x)) % 183.08/183.14 => 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))) ) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_max__ext_Ointros,axiom, % 183.08/183.14 ! [V_R_2,V_Y_2,V_X_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) % 183.08/183.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2)) % 183.08/183.14 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2)) % 183.08/183.14 => ? [B_xa] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2)) % 183.08/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_pred__nat__def,axiom, % 183.08/183.14 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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__lex,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__lexn,axiom, % 183.08/183.14 ! [V_n_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_lex__def,axiom, % 183.08/183.14 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_lexn_Osimps_I1_J,axiom, % 183.08/183.14 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__pred__nat,axiom, % 183.08/183.14 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__same__fst,axiom, % 183.08/183.14 ! [T_a,V_R_2,T_b,V_P_2] : % 183.08/183.14 ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,B_x)) % 183.08/183.14 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) ) % 183.08/183.14 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Nitpick_Ozero__frac__def,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Collect__split,axiom, % 183.08/183.14 ! [V_P_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_P_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_RangeI,axiom, % 183.08/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Id__on,axiom, % 183.08/183.14 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Diff__subset,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Union,axiom, % 183.08/183.14 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__empty,axiom, % 183.08/183.14 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__empty__iff,axiom, % 183.08/183.14 ! [V_r_2,T_a,T_b] : % 183.08/183.14 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Un__eq,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__Range,axiom, % 183.08/183.14 ! [V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_snd__eq__Range,axiom, % 183.08/183.14 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__iff,axiom, % 183.08/183.14 ! [V_r_2,T_b,V_a_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2))) % 183.08/183.14 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__insert,axiom, % 183.08/183.14 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Range__Int__subset,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Nitpick_Oone__frac__def,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 183.08/183.14 ! [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))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_RangeP__Range__eq,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2)) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_RangeP_Ointros,axiom, % 183.08/183.14 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 183.08/183.14 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_RangeP_Oequations,axiom, % 183.08/183.14 ! [V_a2_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2)) % 183.08/183.14 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Nitpick_Ofrac__def,axiom, % 183.08/183.14 ! [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)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_RangeE,axiom, % 183.08/183.14 ! [V_r_2,T_b,V_b_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2))) % 183.08/183.14 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__Un,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ( c_Wellfounded_Owf(T_a,V_s_2) % 183.08/183.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_DomainI,axiom, % 183.08/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Id__on,axiom, % 183.08/183.14 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__empty,axiom, % 183.08/183.14 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__empty__iff,axiom, % 183.08/183.14 ! [V_r_2,T_b,T_a] : % 183.08/183.14 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__mono,axiom, % 183.08/183.14 ! [V_s_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Un__eq,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__Domain,axiom, % 183.08/183.14 ! [V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__eq__Domain,axiom, % 183.08/183.14 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__iff,axiom, % 183.08/183.14 ! [V_r_2,T_b,V_a_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) % 183.08/183.14 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__insert,axiom, % 183.08/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Int__subset,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Diff__subset,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Field__def,axiom, % 183.08/183.14 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Union,axiom, % 183.08/183.14 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Domain__Collect__split,axiom, % 183.08/183.14 ! [V_P_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_P_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_DomainP__Domain__eq,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2)) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_DomainE,axiom, % 183.08/183.14 ! [V_r_2,T_b,V_a_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) % 183.08/183.14 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_image__split__eq__Sigma,axiom, % 183.08/183.14 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_DomainP_Ointros,axiom, % 183.08/183.14 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 183.08/183.14 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SigmaI,axiom, % 183.08/183.14 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__empty1,axiom, % 183.08/183.14 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__eq__cancel2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2)) % 183.08/183.14 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) % 183.08/183.14 <=> V_A_2 = V_B_2 ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Union,axiom, % 183.08/183.14 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_card__cartesian__product,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setsum__cartesian__product,axiom, % 183.08/183.14 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__add(T_a) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__empty2,axiom, % 183.08/183.14 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__empty,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : % 183.08/183.14 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) % 183.08/183.14 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Compl__Times__UNIV1,axiom, % 183.08/183.14 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Compl__Times__UNIV2,axiom, % 183.08/183.14 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setprod__cartesian__product,axiom, % 183.08/183.14 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__mult(T_a) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Un__distrib2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__Un__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Un__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_rel__comp__subset__Sigma,axiom, % 183.08/183.14 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_swap__product,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__cartesian__product,axiom, % 183.08/183.14 ! [V_B_2,T_b,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_equiv__type,axiom, % 183.08/183.14 ! [V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Int__distrib2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__Int__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Int__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Id__on__subset__Times,axiom, % 183.08/183.14 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Diff__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__Diff__distrib1,axiom, % 183.08/183.14 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__Diff__distrib2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_DomainP_Oequations,axiom, % 183.08/183.14 ! [V_a1_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2)) % 183.08/183.14 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_UNIV__Times__UNIV,axiom, % 183.08/183.14 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SigmaE2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 183.08/183.14 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SigmaD2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SigmaD1,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mem__Sigma__iff,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 183.08/183.14 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.14 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_card__cartesian__product__singleton,axiom, % 183.08/183.14 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Times__subset__cancel2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)))) % 183.08/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Image__subset,axiom, % 183.08/183.14 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__cartesian__productD1,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 183.08/183.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__cartesian__productD2,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 183.08/183.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Collect__split,axiom, % 183.08/183.14 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Q_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SetCompr__Sigma__eq,axiom, % 183.08/183.14 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Q_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__image__times,axiom, % 183.08/183.14 ! [V_A_2,T_b,T_a,V_B_2] : % 183.08/183.14 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 183.08/183.14 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_snd__image__times,axiom, % 183.08/183.14 ! [V_B_2,T_b,T_a,V_A_2] : % 183.08/183.14 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 183.08/183.14 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_insert__times__insert,axiom, % 183.08/183.14 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__equiv__class,axiom, % 183.08/183.14 ! [V_X_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_vimage__Times,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_UN__Times__distrib,axiom, % 183.08/183.14 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sigma__def,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__quotient,axiom, % 183.08/183.14 ! [V_r_2,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setsum__mult__setsum__if__inj,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : % 183.08/183.14 ( class_Rings_Osemiring__0(T_c) % 183.08/183.14 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) % 183.08/183.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 183.08/183.14 ! [V_A_2,V_I_2,T_b,T_a] : % 183.08/183.14 ? [B_f] : % 183.08/183.14 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) % 183.08/183.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fold__image__Sigma,axiom, % 183.08/183.14 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 183.08/183.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 183.08/183.14 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c))),V_g_2)),c_Groups_Oone__class_Oone(T_c))),V_B_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_image__id,axiom, % 183.08/183.14 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_of__int__eq__id,axiom, % 183.08/183.14 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 183.08/183.14 % 183.08/183.14 fof(fact_inj__on__id,axiom, % 183.08/183.14 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_id__def,axiom, % 183.08/183.14 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 183.08/183.14 % 183.08/183.14 fof(fact_id__apply,axiom, % 183.08/183.14 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 183.08/183.14 % 183.08/183.14 fof(fact_vimage__id,axiom, % 183.08/183.14 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_apsnd__id,axiom, % 183.08/183.14 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_o__id,axiom, % 183.08/183.14 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_id__o,axiom, % 183.08/183.14 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_o__eq__id__dest,axiom, % 183.08/183.14 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] : % 183.08/183.14 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_ca_2) % 183.08/183.14 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__id,axiom, % 183.08/183.14 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_surj__id,axiom, % 183.08/183.14 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_folding_Oempty,axiom, % 183.08/183.14 ! [V_F_2,V_f_2,T_b,T_a] : % 183.08/183.14 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 183.08/183.14 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__Pair,axiom, % 183.08/183.14 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setsum__reindex__id,axiom, % 183.08/183.14 ! [V_B_2,V_f_2,T_a,T_b] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__add(T_b) % 183.08/183.14 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setprod__reindex__id,axiom, % 183.08/183.14 ! [V_B_2,V_f_2,T_a,T_b] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__mult(T_b) % 183.08/183.14 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setprod__Sigma,axiom, % 183.08/183.14 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 183.08/183.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_setsum__Sigma,axiom, % 183.08/183.14 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 183.08/183.14 ( class_Groups_Ocomm__monoid__add(T_c) % 183.08/183.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 183.08/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_card__SigmaI,axiom, % 183.08/183.14 ! [V_B_2,T_b,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 183.08/183.14 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__SigmaI,axiom, % 183.08/183.14 ! [V_B_2,T_b,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.08/183.14 => ( ! [B_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) ) % 183.08/183.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_SigmaE,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,V_ca_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 183.08/183.14 => ~ ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => ! [B_y] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x))) % 183.08/183.14 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__surj,axiom, % 183.08/183.14 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] : % 183.08/183.14 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 183.08/183.14 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__imageI,axiom, % 183.08/183.14 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__simp,axiom, % 183.08/183.14 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__ident,axiom, % 183.08/183.14 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_snd__prod__fun,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__map__pair,axiom, % 183.08/183.14 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_fst__comp__map__pair,axiom, % 183.08/183.14 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_snd__comp__map__pair,axiom, % 183.08/183.14 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair_Ocompositionality,axiom, % 183.08/183.14 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__compose,axiom, % 183.08/183.14 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair_Ocomp,axiom, % 183.08/183.14 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair_Oidentity,axiom, % 183.08/183.14 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apsnd__def,axiom, % 183.08/183.14 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_apfst__def,axiom, % 183.08/183.14 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair_Oid,axiom, % 183.08/183.14 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__def,axiom, % 183.08/183.14 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__surj__on,axiom, % 183.08/183.14 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] : % 183.08/183.14 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2 % 183.08/183.14 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2 % 183.08/183.14 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__map__pair__image,axiom, % 183.08/183.14 ! [V_f_2,T_b,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.08/183.14 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_map__pair__inj__on,axiom, % 183.08/183.14 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] : % 183.08/183.14 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 183.08/183.14 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2) % 183.08/183.14 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_prod__fun__imageE,axiom, % 183.08/183.14 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_ca_2,T_b,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2))) % 183.08/183.14 => ~ ! [B_x,B_y] : % 183.08/183.14 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_R_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__def,axiom, % 183.08/183.14 ! [V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.08/183.14 & ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__def,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,V_r_2) % 183.08/183.14 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__empty,axiom, % 183.08/183.14 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__Id__on,axiom, % 183.08/183.14 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ). % 183.08/183.14 % 183.08/183.14 fof(fact_accp__wfPD,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,V_r_2) % 183.08/183.14 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__accp__iff,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,V_r_2) % 183.08/183.14 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__subset,axiom, % 183.08/183.14 ! [V_p_2,V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2)) % 183.08/183.14 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__empty,axiom, % 183.08/183.14 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__Un,axiom, % 183.08/183.14 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2) % 183.08/183.14 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__Int,axiom, % 183.08/183.14 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2) % 183.08/183.14 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__onD2,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__onD1,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__onD,axiom, % 183.08/183.14 ! [V_a_2,V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__in__rel,axiom, % 183.08/183.14 ! [V_R_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_R_2) % 183.08/183.14 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__wf__eq,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)) % 183.08/183.14 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_reflp__def,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Predicate_Oreflp(T_a,V_r_2) % 183.08/183.14 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__onI,axiom, % 183.08/183.14 ! [V_A_2,V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.08/183.14 => ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) % 183.08/183.14 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_reflpE,axiom, % 183.08/183.14 ! [V_x_2,V_r_2,T_a] : % 183.08/183.14 ( c_Predicate_Oreflp(T_a,V_r_2) % 183.08/183.14 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__acyclicP,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_OwfP(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Rep__Integ__cases,axiom, % 183.08/183.14 ! [V_y_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 183.08/183.14 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__acyclic,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_acyclic__subset,axiom, % 183.08/183.14 ! [V_r_2,V_s_2,T_a] : % 183.08/183.14 ( c_Wellfounded_Oacyclic(T_a,V_s_2) % 183.08/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.08/183.14 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_finite__acyclic__wf,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 183.08/183.14 => ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 183.08/183.14 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wf__iff__acyclic__if__finite,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 183.08/183.14 => ( c_Wellfounded_Owf(T_a,V_r_2) % 183.08/183.14 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Nitpick_Owf_H__def,axiom, % 183.08/183.14 ! [V_r_2,T_a] : % 183.08/183.14 ( c_Nitpick_Owf_H(T_a,V_r_2) % 183.08/183.14 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 183.08/183.14 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 183.08/183.14 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Rep__Integ__induct,axiom, % 183.08/183.14 ! [V_P_2,V_y_2] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 183.08/183.14 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x))) % 183.08/183.14 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_refl__on__def_H,axiom, % 183.08/183.14 ! [V_r_2,V_A_2,T_a] : % 183.08/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.08/183.14 <=> ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) ) % 183.08/183.14 & ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Abs__Integ__induct,axiom, % 183.08/183.14 ! [V_x_2,V_P_2] : % 183.08/183.14 ( ! [B_y] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 183.08/183.14 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 183.08/183.14 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_ball__empty,axiom, % 183.08/183.14 ! [V_P_2,T_a,B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.14 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Powp__def,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2)) % 183.08/183.14 <=> ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 183.08/183.14 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_INFI__bool__eq,axiom, % 183.08/183.14 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ). % 183.08/183.14 % 183.08/183.14 fof(fact_ball__UNIV,axiom, % 183.08/183.14 ! [V_P_2,T_a] : % 183.08/183.14 ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 183.08/183.14 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.08/183.14 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Collect__ball__eq,axiom, % 183.08/183.14 ! [V_P_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_congruent__def,axiom, % 183.08/183.14 ! [V_f_2,V_r_2,T_b,T_a] : % 183.08/183.14 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2) % 183.08/183.14 <=> ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_INTER__def,axiom, % 183.08/183.14 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Inf__Sup,axiom, % 183.08/183.14 ! [V_A_2,T_a] : % 183.08/183.14 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.08/183.14 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Sup__Inf,axiom, % 183.08/183.14 ! [V_A_2,T_a] : % 183.08/183.14 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.08/183.14 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Abs__Integ__cases,axiom, % 183.08/183.14 ! [V_x_2] : % 183.08/183.14 ~ ! [B_y] : % 183.08/183.14 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfP__SUP,axiom, % 183.08/183.14 ! [T_a,V_r_2,T_b] : % 183.08/183.14 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i)) % 183.08/183.14 => ( ! [B_i,B_j] : % 183.08/183.14 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 183.08/183.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 183.08/183.14 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_triples__valid__Suc,axiom, % 183.08/183.14 ! [V_n_2,V_ts_2,T_a] : % 183.08/183.14 ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 183.08/183.14 => c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 183.08/183.14 => ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 183.08/183.14 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,B_x) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_hoare__valids__def,axiom, % 183.08/183.14 ! [V_ts_2,V_Ga_2,T_a] : % 183.08/183.14 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2) % 183.08/183.14 <=> ! [B_n] : % 183.08/183.14 ( ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_Ga_2)) % 183.08/183.14 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) % 183.08/183.14 => ! [B_x] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 183.08/183.14 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Inter__eq,axiom, % 183.08/183.14 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mem__splitE,axiom, % 183.08/183.14 ! [V_p_2,V_ca_2,T_c,T_b,V_z_2,T_a] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),V_p_2))) % 183.08/183.14 => ~ ! [B_x,B_y] : % 183.08/183.14 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) % 183.08/183.14 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_mem__splitI2,axiom, % 183.08/183.14 ! [V_ca_2,V_z_2,T_c,T_b,T_a,V_p_2] : % 183.08/183.14 ( ! [B_a,B_b] : % 183.08/183.14 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) ) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Eps__split,axiom, % 183.08/183.14 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_wfI__pf,axiom, % 183.08/183.14 ! [V_R_2,T_a] : % 183.08/183.14 ( ! [B_A] : % 183.08/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A))) % 183.08/183.14 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) % 183.08/183.14 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_someI__ex,axiom, % 183.08/183.14 ! [T_a,V_P_2] : % 183.08/183.14 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 183.08/183.14 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_some__eq__ex,axiom, % 183.08/183.14 ! [T_a,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) % 183.08/183.14 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_some__eq__trivial,axiom, % 183.08/183.14 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_some__sym__eq__trivial,axiom, % 183.08/183.14 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 183.08/183.14 % 183.08/183.14 fof(fact_tfl__some,axiom, % 183.08/183.14 ! [T_a,B_P] : % 183.08/183.14 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 183.08/183.14 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_someI,axiom, % 183.08/183.14 ! [T_a,V_x_2,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.08/183.14 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_exE__some,axiom, % 183.08/183.14 ! [T_a,V_ca_2,V_P_2] : % 183.08/183.14 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 183.08/183.14 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_a,V_P_2) % 183.08/183.14 => hBOOL(hAPP(V_P_2,V_ca_2)) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_split__paired__Eps,axiom, % 183.08/183.14 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ). % 183.08/183.14 % 183.08/183.14 fof(fact_Eps__split__eq,axiom, % 183.08/183.14 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ). % 183.08/183.14 % 183.08/183.14 fof(fact_LeastM__def,axiom, % 183.08/183.14 ! [V_P_2,V_m_2,T_a,T_b] : % 183.08/183.14 ( class_Orderings_Oord(T_b) % 183.08/183.14 => c_Hilbert__Choice_OLeastM(T_a,T_b,V_m_2,V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_GreatestM__def,axiom, % 183.08/183.14 ! [V_P_2,V_m_2,T_a,T_b] : % 183.08/183.14 ( class_Orderings_Oord(T_b) % 183.08/183.14 => hAPP(c_Hilbert__Choice_OGreatestM(T_a,T_b,V_m_2),V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_LeastM__nat__lemma,axiom, % 183.08/183.14 ! [V_m_2,T_a,V_k_2,V_P_2] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,V_k_2)) % 183.08/183.14 => ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) % 183.08/183.14 & ! [B_y] : % 183.08/183.14 ( hBOOL(hAPP(V_P_2,B_y)) % 183.08/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,B_y))) ) ) ) ). % 183.08/183.14 % 183.08/183.14 fof(fact_LeastM__nat__le,axiom, % 183.16/183.14 ! [T_a,V_m_2,V_x_2,V_P_2] : % 183.16/183.14 ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,V_x_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Greatest__def,axiom, % 183.16/183.14 ! [T_a] : % 183.16/183.14 ( class_Orderings_Oord(T_a) % 183.16/183.14 => c_Hilbert__Choice_OGreatest(T_a) = c_Hilbert__Choice_OGreatestM(T_a,T_a,c_COMBI(T_a)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Sigma__mono,axiom, % 183.16/183.14 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_LeastM__natI,axiom, % 183.16/183.14 ! [V_m_2,T_a,V_k_2,V_P_2] : % 183.16/183.14 ( hBOOL(hAPP(V_P_2,V_k_2)) % 183.16/183.14 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_not__acc__down,axiom, % 183.16/183.14 ! [V_R_2,V_x_2,T_a] : % 183.16/183.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2))) % 183.16/183.14 => ~ ! [B_z] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acc_OaccI,axiom, % 183.16/183.14 ! [V_r_2,V_x_2,T_a] : % 183.16/183.14 ( ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_max__ext_Osimps,axiom, % 183.16/183.14 ! [V_R_2,V_a2_2,V_a1_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 183.16/183.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2)) % 183.16/183.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2)) % 183.16/183.14 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.16/183.14 & ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2)) % 183.16/183.14 => ? [B_xa] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__no__infinite__down__chainE,axiom, % 183.16/183.14 ! [V_f_2,V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.16/183.14 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_scomp__unfold,axiom, % 183.16/183.14 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_setsum__ivl__cong,axiom, % 183.16/183.14 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_a,T_b] : % 183.16/183.14 ( ( class_Groups_Ocomm__monoid__add(T_b) % 183.16/183.14 & class_Orderings_Oord(T_a) ) % 183.16/183.14 => ( V_a_2 = V_ca_2 % 183.16/183.14 => ( V_b_2 = V_d_2 % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),B_x)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2)) % 183.16/183.14 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 183.16/183.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_scomp__apply,axiom, % 183.16/183.14 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_scomp__scomp,axiom, % 183.16/183.14 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Pair__scomp,axiom, % 183.16/183.14 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_scomp__Pair,axiom, % 183.16/183.14 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_scomp__def,axiom, % 183.16/183.14 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_iterate_Osimps,axiom, % 183.16/183.14 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] : % 183.16/183.14 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.14 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) ) % 183.16/183.14 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.14 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_less__eq,axiom, % 183.16/183.14 ! [V_n_2,V_m_2] : % 183.16/183.14 ( 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))) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__trancl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.16/183.14 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_less__than__def,axiom, % 183.16/183.14 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acyclic__def,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 183.16/183.14 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl_Or__into__trancl,axiom, % 183.16/183.14 ! [V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__subset__Field2,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_r__into__trancl_H,axiom, % 183.16/183.14 ! [V_r_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__empty,axiom, % 183.16/183.14 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__domain,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__range,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_finite__trancl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_r__r__into__trancl,axiom, % 183.16/183.14 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_R_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__into__trancl2,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__trans,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__mono,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__unfold,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__subset__Sigma,axiom, % 183.16/183.14 ! [V_A_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__Int__subset,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_log_Osimps,axiom, % 183.16/183.14 ! [V_i,V_b] : % 183.16/183.14 ( ( ( 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))) % 183.16/183.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 183.16/183.14 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 183.16/183.14 & ( ~ ( 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))) % 183.16/183.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 183.16/183.14 => 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))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_minus__shift__def,axiom, % 183.16/183.14 ! [V_r,V_l,V_k] : % 183.16/183.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 183.16/183.14 => 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) ) % 183.16/183.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 183.16/183.14 => 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) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_inc__shift__def,axiom, % 183.16/183.14 ! [V_k,V_v] : % 183.16/183.14 ( ( V_v = V_k % 183.16/183.14 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 183.16/183.14 & ( V_v != V_k % 183.16/183.14 => 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)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_range,axiom, % 183.16/183.14 ! [V_s,V_k] : % 183.16/183.14 ( 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)) % 183.16/183.14 => 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)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__insert,axiom, % 183.16/183.14 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_reflcl__set__eq,axiom, % 183.16/183.14 ! [V_y_2,V_x_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_r__into__rtrancl,axiom, % 183.16/183.14 ! [V_r_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl_Ortrancl__refl,axiom, % 183.16/183.14 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_IdI,axiom, % 183.16/183.14 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__into__rtrancl,axiom, % 183.16/183.14 ! [V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__rtrancl__absorb,axiom, % 183.16/183.14 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__trancl__absorb,axiom, % 183.16/183.14 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_reflcl__trancl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__reflcl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__unfold__right,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__unfold__left,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Domain__rtrancl,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Range__rtrancl,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__empty,axiom, % 183.16/183.14 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__unfold,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_in__rtrancl__UnI,axiom, % 183.16/183.14 ! [V_S_2,V_R_2,V_x_2,T_a] : % 183.16/183.14 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_r__comp__rtrancl__eq,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__idemp__self__comp,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__reflcl,axiom, % 183.16/183.14 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__Un__rtrancl,axiom, % 183.16/183.14 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__reflcl__absorb,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__idemp,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__trans,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__r__diff__Id,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_refl__rtrancl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Image__Id,axiom, % 183.16/183.14 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_Id__O__R,axiom, % 183.16/183.14 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_R__O__Id,axiom, % 183.16/183.14 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_Image__closed__trancl,axiom, % 183.16/183.14 ! [V_X_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2)) % 183.16/183.14 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__Un__subset,axiom, % 183.16/183.14 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__subset__rtrancl,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__subset,axiom, % 183.16/183.14 ! [V_S_2,V_R_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__mono,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__Int__subset,axiom, % 183.16/183.14 ! [V_r_2,V_s_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_pair__in__Id__conv,axiom, % 183.16/183.14 ! [V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a))) % 183.16/183.14 <=> V_a_2 = V_b_2 ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__eq__or__trancl,axiom, % 183.16/183.14 ! [V_R_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 <=> ( V_x_2 = V_y_2 % 183.16/183.14 | ( V_x_2 != V_y_2 % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__into__trancl2,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtranclD,axiom, % 183.16/183.14 ! [V_R_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 => ( V_a_2 = V_b_2 % 183.16/183.14 | ( V_a_2 != V_b_2 % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__into__trancl1,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__rtrancl__trancl,axiom, % 183.16/183.14 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__trancl__trancl,axiom, % 183.16/183.14 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Domain__Id,axiom, % 183.16/183.14 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Range__Id,axiom, % 183.16/183.14 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_refl__Id,axiom, % 183.16/183.14 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_pair__leq__def,axiom, % 183.16/183.14 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))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Not__Domain__rtrancl,axiom, % 183.16/183.14 ! [V_y_2,V_R_2,V_x_2,T_a] : % 183.16/183.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 <=> V_x_2 = V_y_2 ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acc__downwards__aux,axiom, % 183.16/183.14 ! [V_r_2,V_a_2,V_b_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acc__downwards,axiom, % 183.16/183.14 ! [V_b_2,V_r_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__insert,axiom, % 183.16/183.14 ! [V_r_2,V_x_2,V_y_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) % 183.16/183.14 <=> ( c_Wellfounded_Owf(T_a,V_r_2) % 183.16/183.14 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acyclic__insert,axiom, % 183.16/183.14 ! [V_r_2,V_x_2,V_y_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) % 183.16/183.14 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 183.16/183.14 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_refl__reflcl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Id__def,axiom, % 183.16/183.14 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_irrefl__diff__Id,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_pred__nat__trancl__eq__le,axiom, % 183.16/183.14 ! [V_n_2,V_m_2] : % 183.16/183.14 ( 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))) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__subset__Sigma__aux,axiom, % 183.16/183.14 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.16/183.14 => ( V_a_2 = V_b_2 % 183.16/183.14 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_irrefl__tranclI,axiom, % 183.16/183.14 ! [V_x_2,V_r_2,T_a] : % 183.16/183.14 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_sequence__trans,axiom, % 183.16/183.14 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] : % 183.16/183.14 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__Id,axiom, % 183.16/183.14 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__INTER,axiom, % 183.16/183.14 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__UNION,axiom, % 183.16/183.14 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converseD,axiom, % 183.16/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converseI,axiom, % 183.16/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__iff,axiom, % 183.16/183.14 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__rel__comp,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__Un,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__Id__on,axiom, % 183.16/183.14 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__inv__image,axiom, % 183.16/183.14 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__Int,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_finite__converse,axiom, % 183.16/183.14 ! [V_r_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 183.16/183.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Field__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_refl__on__converse,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 183.16/183.14 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acyclic__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 183.16/183.14 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__converse__trancl,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 183.16/183.14 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_equiv__comp__eq,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.16/183.14 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Range__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Domain__converse,axiom, % 183.16/183.14 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Range__def,axiom, % 183.16/183.14 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__converseD,axiom, % 183.16/183.14 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__converseI,axiom, % 183.16/183.14 ! [V_r_2,V_x_2,V_y_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__converseD,axiom, % 183.16/183.14 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__converseI,axiom, % 183.16/183.14 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Image__subset__eq,axiom, % 183.16/183.14 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2)) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_refl__on__comp__subset,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_comp__equivI,axiom, % 183.16/183.14 ! [V_A_2,V_r_2,T_a] : % 183.16/183.14 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 % 183.16/183.14 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2 % 183.16/183.14 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_finite__acyclic__wf__converse,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 183.16/183.14 => ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 183.16/183.14 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converse__def,axiom, % 183.16/183.14 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Image__INT__eq,axiom, % 183.16/183.14 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) % 183.16/183.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 183.16/183.14 => hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_total__on__diff__Id,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) % 183.16/183.14 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__Id,axiom, % 183.16/183.14 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__rel__comp,axiom, % 183.16/183.14 ! [V_s_2,T_c,V_r_2,T_b,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 183.16/183.14 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 183.16/183.14 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__subset,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.14 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2) % 183.16/183.14 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__Id__on,axiom, % 183.16/183.14 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_total__on__empty,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_total__on__converse,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 183.16/183.14 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__def,axiom, % 183.16/183.14 ! [V_r_2,T_b,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 183.16/183.14 <=> ! [B_x,B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2)) % 183.16/183.14 => ! [B_z] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2)) % 183.16/183.14 => B_y = B_z ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valuedD,axiom, % 183.16/183.14 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2)) % 183.16/183.14 => V_y_2 = V_z_2 ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_total__on__def,axiom, % 183.16/183.14 ! [V_r_2,V_A_2,T_a] : % 183.16/183.14 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2) % 183.16/183.14 <=> ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.16/183.14 => ! [B_xa] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 183.16/183.14 => ( B_x != B_xa % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2)) % 183.16/183.14 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__confluent,axiom, % 183.16/183.14 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.14 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Image__Int__eq,axiom, % 183.16/183.14 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2)) % 183.16/183.14 => hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 183.16/183.14 ! [V_R_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_acyclicI,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 183.16/183.14 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_single__valued__rel__pow,axiom, % 183.16/183.14 ! [V_n_2,V_R_2,T_a] : % 183.16/183.14 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2) % 183.16/183.14 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__exp,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) % 183.16/183.14 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow__mult,axiom, % 183.16/183.14 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow__swap1,axiom, % 183.16/183.14 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_comp__funpow,axiom, % 183.16/183.14 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__1,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__commute,axiom, % 183.16/183.14 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__imp__rtrancl,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__power,axiom, % 183.16/183.14 ! [V_R_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_relpow_Osimps_I2_J,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__add,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_relpow_Osimps_I1_J,axiom, % 183.16/183.14 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__0__I,axiom, % 183.16/183.14 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__0__E,axiom, % 183.16/183.14 ! [V_R_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 183.16/183.14 => V_x_2 = V_y_2 ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__Suc__I,axiom, % 183.16/183.14 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__Suc__I2,axiom, % 183.16/183.14 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow_Osimps_I2_J,axiom, % 183.16/183.14 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow__add,axiom, % 183.16/183.14 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow_Osimps_I1_J,axiom, % 183.16/183.14 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ). % 183.16/183.14 % 183.16/183.14 fof(fact_trancl__power,axiom, % 183.16/183.14 ! [V_R_2,V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 183.16/183.14 <=> ? [B_n] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 183.16/183.14 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_funpow__code__def,axiom, % 183.16/183.14 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__E2,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.14 => V_x_2 != V_z_2 ) % 183.16/183.14 => ~ ! [B_y,B_m] : % 183.16/183.14 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__E,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.14 => V_x_2 != V_z_2 ) % 183.16/183.14 => ~ ! [B_y,B_m] : % 183.16/183.14 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__Un__separatorE,axiom, % 183.16/183.14 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) % 183.16/183.14 => ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Q_2)) % 183.16/183.14 => B_x = B_y ) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rtrancl__Un__separator__converseE,axiom, % 183.16/183.14 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) % 183.16/183.14 => ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Q_2)) % 183.16/183.14 => B_y = B_x ) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__Suc__D2,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 183.16/183.14 => ? [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__Suc__E,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 183.16/183.14 => ~ ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__pow__Suc__E2,axiom, % 183.16/183.14 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 183.16/183.14 => ~ ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_tranclD,axiom, % 183.16/183.14 ! [V_R_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 183.16/183.14 => ? [B_z] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_tranclD2,axiom, % 183.16/183.14 ! [V_R_2,V_y_2,V_x_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 183.16/183.14 => ? [B_z] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_IdE,axiom, % 183.16/183.14 ! [V_p_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a))) % 183.16/183.14 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_nat__intermed__int__val,axiom, % 183.16/183.14 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 183.16/183.14 ( ! [B_i] : % 183.16/183.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 183.16/183.14 => 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))) ) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 183.16/183.14 => ? [B_i] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 183.16/183.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 183.16/183.14 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_mod__div__decomp,axiom, % 183.16/183.14 ! [V_b,V_a,T_a] : % 183.16/183.14 ( class_Divides_Osemiring__div(T_a) % 183.16/183.14 => 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)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_wf__eq__minimal,axiom, % 183.16/183.14 ! [V_r_2,T_a] : % 183.16/183.14 ( c_Wellfounded_Owf(T_a,V_r_2) % 183.16/183.14 <=> ! [B_Q] : % 183.16/183.14 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q)) % 183.16/183.14 => ? [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q)) % 183.16/183.14 & ! [B_y] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_transfer__nat__int__set__cong,axiom, % 183.16/183.14 ! [V_P_H_2,V_P_2] : % 183.16/183.14 ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 183.16/183.14 => ( hBOOL(hAPP(V_P_2,B_x)) % 183.16/183.14 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 183.16/183.14 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Int__Collect__mono,axiom, % 183.16/183.14 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.16/183.14 => ( hBOOL(hAPP(V_P_2,B_x)) % 183.16/183.14 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Q_2)))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_UnionE,axiom, % 183.16/183.14 ! [V_C_2,V_A_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 183.16/183.14 => ~ ! [B_X] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_converseE,axiom, % 183.16/183.14 ! [V_r_2,V_yx_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 183.16/183.14 => ~ ! [B_x,B_y] : % 183.16/183.14 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_rel__compE,axiom, % 183.16/183.14 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2))) % 183.16/183.14 => ~ ! [B_x,B_y,B_z] : % 183.16/183.14 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z) % 183.16/183.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2)) % 183.16/183.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Oplus__frac__def,axiom, % 183.16/183.14 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_a),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Otimes__frac__def,axiom, % 183.16/183.14 ! [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))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Oof__frac__def,axiom, % 183.16/183.14 ! [V_q,T_a,T_b] : % 183.16/183.14 ( ( class_Rings_Oinverse(T_b) % 183.16/183.14 & class_Rings_Oring__1(T_b) ) % 183.16/183.14 => 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))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 183.16/183.14 ! [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)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 183.16/183.14 ! [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))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Oless__frac__def,axiom, % 183.16/183.14 ! [V_r_2,V_q_2,T_a] : % 183.16/183.14 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 183.16/183.14 ! [V_r_2,V_q_2,T_a] : % 183.16/183.14 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2) % 183.16/183.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Onum__def,axiom, % 183.16/183.14 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_Nitpick_Odenom__def,axiom, % 183.16/183.14 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ). % 183.16/183.14 % 183.16/183.14 fof(fact_setprod__pos,axiom, % 183.16/183.14 ! [V_f_2,V_A_2,T_a,T_b] : % 183.16/183.14 ( class_Rings_Olinordered__semidom(T_b) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_internal__split__def,axiom, % 183.16/183.14 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ). % 183.16/183.14 % 183.16/183.14 fof(fact_internal__split__conv,axiom, % 183.16/183.14 ! [V_b_2,V_a_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ). % 183.16/183.14 % 183.16/183.14 fof(fact_setprod__nonneg,axiom, % 183.16/183.14 ! [V_f_2,V_A_2,T_a,T_b] : % 183.16/183.14 ( class_Rings_Olinordered__semidom(T_b) % 183.16/183.14 => ( ! [B_x] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 183.16/183.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_bool_Osize_I2_J,axiom, % 183.16/183.14 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.14 % 183.16/183.14 fof(fact_bool_Osize_I1_J,axiom, % 183.16/183.14 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.14 % 183.16/183.14 fof(fact_finite__less__ub,axiom, % 183.16/183.14 ! [V_u_2,V_f_2] : % 183.16/183.14 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 183.16/183.14 => 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)))) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_lenlex__def,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_lexn__length,axiom, % 183.16/183.14 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2))) % 183.16/183.14 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2 % 183.16/183.14 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_neq__if__length__neq,axiom, % 183.16/183.14 ! [V_ys,V_xs,T_a] : % 183.16/183.14 ( 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) % 183.16/183.14 => V_xs != V_ys ) ). % 183.16/183.14 % 183.16/183.14 fof(fact_lenlex__conv,axiom, % 183.16/183.14 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_length__sublist,axiom, % 183.16/183.14 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ). % 183.16/183.14 % 183.16/183.14 fof(fact_lexn_Osimps_I2_J,axiom, % 183.16/183.14 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_impossible__Cons,axiom, % 183.16/183.15 ! [V_x,V_ys,V_xs,T_a] : % 183.16/183.15 ( 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))) % 183.16/183.15 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Oinject,axiom, % 183.16/183.15 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2) % 183.16/183.15 <=> ( V_a_2 = V_a_H_2 % 183.16/183.15 & V_list_2 = V_list_H_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__Cons__self2,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__Cons__self,axiom, % 183.16/183.15 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osize_I4_J,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__in__lex,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2))) % 183.16/183.15 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.16/183.15 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) % 183.16/183.15 | ( V_x_2 = V_y_2 % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__Cons__def,axiom, % 183.16/183.15 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_pick_Osimps,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_i] : % 183.16/183.15 ( ( 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))) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( ~ 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))) % 183.16/183.15 => 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))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select__weight__cons__zero,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__cons__cons,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.15 | ( V_a_2 = V_b_2 % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__lex,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osize_I2_J,axiom, % 183.16/183.15 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__acc__listrel1I,axiom, % 183.16/183.15 ! [V_xs_2,V_r_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 183.16/183.15 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__converse,axiom, % 183.16/183.15 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__mono,axiom, % 183.16/183.15 ! [V_s_2,V_r_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1I2,axiom, % 183.16/183.15 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 183.16/183.15 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__eq__len,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rtrancl__listrel1__eq__len,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__listrel1__converse,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1I1,axiom, % 183.16/183.15 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__listrel1__Cons,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.16/183.15 & V_xs_2 = V_ys_2 ) % 183.16/183.15 | ( V_x_2 = V_y_2 % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Cons,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__irreflexive,axiom, % 183.16/183.15 ! [V_y_2,V_r_2,T_a] : % 183.16/183.15 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__rtrancl__refl,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__mono,axiom, % 183.16/183.15 ! [V_s_2,V_r_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 183.16/183.15 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__eq__len,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__rtrancl__trans,axiom, % 183.16/183.15 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 183.16/183.15 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__reflcl__if__listrel1,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__subset__listrel,axiom, % 183.16/183.15 ! [V_r_H_2,V_r_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 183.16/183.15 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel_OCons,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrelp__listrel__eq,axiom, % 183.16/183.15 ! [V_xa_2,V_x_2,V_r_2,T_a] : % 183.16/183.15 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Cons2,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => ~ ! [B_x,B_xs] : % 183.16/183.15 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2)) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrelp_Oequations_I2_J,axiom, % 183.16/183.15 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] : % 183.16/183.15 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2)) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 183.16/183.15 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrelp_OCons,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 183.16/183.15 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2) % 183.16/183.15 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Cons1,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => ~ ! [B_y,B_ys] : % 183.16/183.15 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2)) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__subset,axiom, % 183.16/183.15 ! [V_A_2,V_r_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__UNIV,axiom, % 183.16/183.15 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__mono,axiom, % 183.16/183.15 ! [V_B_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_equiv__listrel,axiom, % 183.16/183.15 ! [V_r_2,V_A_2,T_a] : % 183.16/183.15 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 183.16/183.15 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__refl__on,axiom, % 183.16/183.15 ! [V_r_2,V_A_2,T_a] : % 183.16/183.15 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 183.16/183.15 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__in__lists__iff,axiom, % 183.16/183.15 ! [V_A_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__accD,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__accI,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__iff__nth,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 183.16/183.15 & ! [B_n] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__linear,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_r_2,T_a] : % 183.16/183.15 ( ! [B_a,B_b] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2)) % 183.16/183.15 | B_a = B_b % 183.16/183.15 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) ) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 | V_x_2 = V_y_2 % 183.16/183.15 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_infinite__UNIV__listI,axiom, % 183.16/183.15 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__eq__iff__nth__eq,axiom, % 183.16/183.15 ! [T_a,V_ys_2,V_xs_2] : % 183.16/183.15 ( V_xs_2 = V_ys_2 % 183.16/183.15 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 183.16/183.15 & ! [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__Cons__Suc,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__Cons__0,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth_Osimps,axiom, % 183.16/183.15 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__Cons_H,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_n] : % 183.16/183.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 183.16/183.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__Cons__number__of,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_v] : % 183.16/183.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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 ) % 183.16/183.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__take__index__conv,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))) % 183.16/183.15 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 ) % 183.16/183.15 | ? [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))) % 183.16/183.15 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__sublist,axiom, % 183.16/183.15 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__set,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__subset__Cons,axiom, % 183.16/183.15 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__all,axiom, % 183.16/183.15 ! [V_n,V_xs,T_a] : % 183.16/183.15 ( 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)) % 183.16/183.15 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__take__subset,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__take__subset__set__take,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_n_2,V_m_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__sublist__subset,axiom, % 183.16/183.15 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__take,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n,V_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__upt__eq__take,axiom, % 183.16/183.15 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Suc__Cons,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_notin__set__sublistI,axiom, % 183.16/183.15 ! [V_I_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__takeD,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__sublistD,axiom, % 183.16/183.15 ! [V_I_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__ConsD,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_y_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) % 183.16/183.15 => ( V_y_2 = V_x_2 % 183.16/183.15 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__take,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__take,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Oset_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_card__length,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_all__set__conv__all__nth,axiom, % 183.16/183.15 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.15 ( ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.15 <=> ! [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__size__estimation,axiom, % 183.16/183.15 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__size__estimation_H,axiom, % 183.16/183.15 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__lists__conv__set,axiom, % 183.16/183.15 ! [V_A_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 <=> ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__pos__if__in__set,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__mem,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__conv__nth,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 <=> ? [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__eq__set,axiom, % 183.16/183.15 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__conv__nth,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__lists__length__eq,axiom, % 183.16/183.15 ! [V_n_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__lists__length__le,axiom, % 183.16/183.15 ! [V_n_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__iff__zip,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 183.16/183.15 & ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__zip,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_a,T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__zip,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__zip,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__Cons__Cons,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__eq__iff__zip__eq,axiom, % 183.16/183.15 ! [T_a,V_ys_2,V_xs_2] : % 183.16/183.15 ( V_xs_2 = V_ys_2 % 183.16/183.15 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 183.16/183.15 & ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__same,axiom, % 183.16/183.15 ! [V_xs_2,V_b_2,V_a_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2)))) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 & V_a_2 = V_b_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__zip__leftD,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__zip__rightD,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__zipE,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 183.16/183.15 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__zip,axiom, % 183.16/183.15 ! [V_ys,T_b,V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( 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))) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_greaterThanLessThan__upto,axiom, % 183.16/183.15 ! [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)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__setsum__nth,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 183.16/183.15 ! [V_ns_2] : % 183.16/183.15 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 <=> ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 183.16/183.15 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__upto,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_atLeastAtMost__upto,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_elem__le__listsum__nat,axiom, % 183.16/183.15 ! [V_ns,V_k] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__simps_I2_J,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_atLeastLessThan__upto,axiom, % 183.16/183.15 ! [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)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_greaterThanAtMost__upto,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__list__def,axiom, % 183.16/183.15 ! [V_l_2] : % 183.16/183.15 ( c_List_Onat__list(V_l_2) % 183.16/183.15 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__size__pointwise,axiom, % 183.16/183.15 ! [V_g_2,V_f_2,V_xs_2,T_a] : % 183.16/183.15 ( ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__update__nat,axiom, % 183.16/183.15 ! [V_n,V_ns,V_k] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__take,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__beyond,axiom, % 183.16/183.15 ! [V_x,V_i,V_xs,T_a] : % 183.16/183.15 ( 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)) % 183.16/183.15 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__id,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__list__update__neq,axiom, % 183.16/183.15 ! [V_x,V_xs,T_a,V_j,V_i] : % 183.16/183.15 ( V_i != V_j % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__list__update,axiom, % 183.16/183.15 ! [V_x,V_xs,T_a,V_k] : % 183.16/183.15 ( ( 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)) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( 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)) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__list__update,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__update,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_update__zip,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__swap,axiom, % 183.16/183.15 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 183.16/183.15 ( V_i != V_i_H % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__overwrite,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__code_I3_J,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__code_I2_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__butlastD,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__update__subsetI,axiom, % 183.16/183.15 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2)) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__update__subset__insert,axiom, % 183.16/183.15 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__list__update__eq,axiom, % 183.16/183.15 ! [V_x,V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__same__conv,axiom, % 183.16/183.15 ! [V_x_2,V_xs_2,T_a,V_i_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 183.16/183.15 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__list__update,axiom, % 183.16/183.15 ! [V_x,V_j,V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( ( V_i = V_j % 183.16/183.15 => 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 ) % 183.16/183.15 & ( V_i != V_j % 183.16/183.15 => 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) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__butlast,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__butlast,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__update__memI,axiom, % 183.16/183.15 ! [V_x_2,V_xs_2,T_a,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__conv__take,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1__iff__update,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 <=> ? [B_y,B_n] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2)) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__list__update,axiom, % 183.16/183.15 ! [V_i_2,V_a_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__upto,axiom, % 183.16/183.15 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__take,axiom, % 183.16/183.15 ! [V_i,V_xs,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__sublistI,axiom, % 183.16/183.15 ! [V_I_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__zipI2,axiom, % 183.16/183.15 ! [V_xs,T_b,V_ys,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__zipI1,axiom, % 183.16/183.15 ! [V_ys,T_b,V_xs,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) % 183.16/183.15 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_card__distinct,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__card,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__eq__iff__index__eq,axiom, % 183.16/183.15 ! [V_j_2,V_i_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) % 183.16/183.15 <=> V_i_2 = V_j_2 ) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__conv__nth,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 <=> ! [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => ! [B_j] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => ( B_i != B_j % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__listsum__conv__Setsum,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nitpick_Ocard_H__def,axiom, % 183.16/183.15 ! [V_A_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__map__upds,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))),c_Map_Odom(T_a,T_b,V_m_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__apply__nontin,axiom, % 183.16/183.15 ! [V_ys_2,V_f_2,T_b,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__list__update2__drop,axiom, % 183.16/183.15 ! [V_y_2,V_m_2,V_ys_2,T_b,V_i_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_i_2)) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__take__lemma,axiom, % 183.16/183.15 ! [V_ys,V_xs,T_a,V_k] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( 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))) % 183.16/183.15 => ( ! [B_i] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 183.16/183.15 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__map__upds,axiom, % 183.16/183.15 ! [V_m_2,V_D_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_D_2)) % 183.16/183.15 => c_Map_Orestrict__map(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_a),V_xs_2))),V_xs_2,V_ys_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__map__insert,axiom, % 183.16/183.15 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__restrict,axiom, % 183.16/183.15 ! [V_B_2,V_A_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__in,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__restrict,axiom, % 183.16/183.15 ! [V_A_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m_2)),V_A_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__upd__restrict,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__upd__restrict__conv,axiom, % 183.16/183.15 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 183.16/183.15 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__fun__upd,axiom, % 183.16/183.15 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 183.16/183.15 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 183.16/183.15 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__remove1__eq,axiom, % 183.16/183.15 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Cons__number__of,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_v] : % 183.16/183.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists_ONil,axiom, % 183.16/183.15 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Nil2,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Nil1,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2))) % 183.16/183.15 => V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__code_I1_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update_Osimps_I1_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__nonempty,axiom, % 183.16/183.15 ! [V_x_2,V_k_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__empty,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__empty2,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Oset_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__0__conv,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osize_I3_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__simps_I1_J,axiom, % 183.16/183.15 ! [T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__Nil,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip_Osimps_I1_J,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrelp_Oequations_I1_J,axiom, % 183.16/183.15 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrelp_ONil,axiom, % 183.16/183.15 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osize_I1_J,axiom, % 183.16/183.15 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1__commute,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1_Osimps_I1_J,axiom, % 183.16/183.15 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__nil,axiom, % 183.16/183.15 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__eq__Nil,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__0,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Nil,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upto__empty,axiom, % 183.16/183.15 ! [V_i,V_j] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 183.16/183.15 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osimps_I2_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osimps_I3_J,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_xs,T_a,V_y,V_x] : % 183.16/183.15 ( ( V_x = V_y % 183.16/183.15 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 183.16/183.15 & ( V_x != V_y % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_x,T_a,V_xs] : % 183.16/183.15 ( ( V_xs = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 183.16/183.15 & ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__Nil1,axiom, % 183.16/183.15 ! [V_bs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,c_List_Olist_ONil(T_a),V_bs_2) = V_m_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__Nil2,axiom, % 183.16/183.15 ! [V_as_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,c_List_Olist_ONil(T_b)) = V_m_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__remove1,axiom, % 183.16/183.15 ! [V_x,V_xs,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__butlast,axiom, % 183.16/183.15 ! [T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__remove1,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_b_2,V_a_2] : % 183.16/183.15 ( V_a_2 != V_b_2 % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2)))) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_notin__set__remove1,axiom, % 183.16/183.15 ! [V_y_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1__idem,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__empty,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__remove1__subset,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__greater__0__conv,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__1__Cons,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__listrel1__Nil,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__Nil__listrel1,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel_ONil,axiom, % 183.16/183.15 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__Nil__right,axiom, % 183.16/183.15 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nil2__notin__lex,axiom, % 183.16/183.15 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nil__notin__lex,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Cons,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upto_Osimps,axiom, % 183.16/183.15 ! [V_j,V_i] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 183.16/183.15 => 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)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 183.16/183.15 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__singleton,axiom, % 183.16/183.15 ! [V_x_2,T_a,V_A_2] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 183.16/183.15 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 183.16/183.15 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__empty,axiom, % 183.16/183.15 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Cons_H,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_n] : % 183.16/183.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upto__rec__number__of,axiom, % 183.16/183.15 ! [V_n,V_m] : % 183.16/183.15 ( ( 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))) % 183.16/183.15 => 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))) ) % 183.16/183.15 & ( ~ 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))) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel__Nil,axiom, % 183.16/183.15 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__Cons__sing__Nil,axiom, % 183.16/183.15 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__remove1,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upto_Opsimps,axiom, % 183.16/183.15 ! [V_j_2,V_i_2] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 183.16/183.15 => 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)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 183.16/183.15 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select,axiom, % 183.16/183.15 ! [V_s_2,T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listset_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__Cons,axiom, % 183.16/183.15 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osimps_I5_J,axiom, % 183.16/183.15 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list_Osimps_I4_J,axiom, % 183.16/183.15 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_listset_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__Cons1,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sorted__list__of__set__remove,axiom, % 183.16/183.15 ! [V_x_2,V_A_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upto_Opinduct,axiom, % 183.16/183.15 ! [V_P_2,V_a1_2,V_a0_2] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( ! [B_i,B_j] : % 183.16/183.15 ( 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))) % 183.16/183.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 183.16/183.15 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sorted__list__of__set__empty,axiom, % 183.16/183.15 ! [T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_anamorph_Osimps,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] : % 183.16/183.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.15 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) ) % 183.16/183.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.15 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__Cons,axiom, % 183.16/183.15 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__eq__Cons__conv,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) % 183.16/183.15 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a) % 183.16/183.15 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) % 183.16/183.15 | ? [B_ys_H] : % 183.16/183.15 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) % 183.16/183.15 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__eq__append__conv,axiom, % 183.16/183.15 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) % 183.16/183.15 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a) % 183.16/183.15 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 ) % 183.16/183.15 | ? [B_ys_H] : % 183.16/183.15 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2 % 183.16/183.15 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append1__eq__conv,axiom, % 183.16/183.15 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) % 183.16/183.15 <=> ( V_xs_2 = V_ys_2 % 183.16/183.15 & V_x_2 = V_y_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__Cons,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Cons__eq__appendI,axiom, % 183.16/183.15 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 183.16/183.15 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 183.16/183.15 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__append,axiom, % 183.16/183.15 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 183.16/183.15 ( 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) % 183.16/183.15 => ( 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) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__append,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__append,axiom, % 183.16/183.15 ! [V_ys,V_xs,T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__eq__appendI,axiom, % 183.16/183.15 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 183.16/183.15 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 183.16/183.15 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__same__eq,axiom, % 183.16/183.15 ! [V_zs_2,V_xs_2,V_ys_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2) % 183.16/183.15 <=> V_ys_2 = V_zs_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_same__append__eq,axiom, % 183.16/183.15 ! [V_zs_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2) % 183.16/183.15 <=> V_ys_2 = V_zs_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__eq__append__conv2,axiom, % 183.16/183.15 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2) % 183.16/183.15 <=> ? [B_us] : % 183.16/183.15 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us) % 183.16/183.15 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 ) % 183.16/183.15 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2 % 183.16/183.15 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__assoc,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__in__lists__conv,axiom, % 183.16/183.15 ! [V_A_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__upds__append__drop,axiom, % 183.16/183.15 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__upds__append2__drop,axiom, % 183.16/183.15 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__append,axiom, % 183.16/183.15 ! [V_xs,T_a,V_ys] : % 183.16/183.15 ( ( V_ys = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 183.16/183.15 & ( V_ys != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__Nil,axiom, % 183.16/183.15 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nil__is__append__conv,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 183.16/183.15 <=> ( V_xs_2 = c_List_Olist_ONil(T_a) % 183.16/183.15 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__Nil2,axiom, % 183.16/183.15 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 183.16/183.15 % 183.16/183.15 fof(fact_self__append__conv,axiom, % 183.16/183.15 ! [V_ys_2,T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 183.16/183.15 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_self__append__conv2,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_ys_2] : % 183.16/183.15 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__is__Nil__conv,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> ( V_xs_2 = c_List_Olist_ONil(T_a) % 183.16/183.15 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__self__conv,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2 % 183.16/183.15 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__self__conv2,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2 % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_eq__Nil__appendI,axiom, % 183.16/183.15 ! [T_a,V_ys,V_xs] : % 183.16/183.15 ( V_xs = V_ys % 183.16/183.15 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__append__length,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__append__length__plus,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__append,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__append1,axiom, % 183.16/183.15 ! [V_x,V_ys,V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__length,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__butlast__appendI,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2)))) % 183.16/183.15 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__snoc,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__listrel1I,axiom, % 183.16/183.15 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 & V_us_2 = V_vs_2 ) % 183.16/183.15 | ( V_xs_2 = V_ys_2 % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__append__leftI,axiom, % 183.16/183.15 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2)) % 183.16/183.15 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__append,axiom, % 183.16/183.15 ! [V_ys,V_xs,T_a,V_n] : % 183.16/183.15 ( ( 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))) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( ~ 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))) % 183.16/183.15 => 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))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__update__append,axiom, % 183.16/183.15 ! [V_x,V_ys,V_xs,T_a,V_n] : % 183.16/183.15 ( ( 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))) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( ~ 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))) % 183.16/183.15 => 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)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sublist__append,axiom, % 183.16/183.15 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_l_2)))),V_A_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1I,axiom, % 183.16/183.15 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 183.16/183.15 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2)) % 183.16/183.15 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__append__left__rightI,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Suc__conv__app__nth,axiom, % 183.16/183.15 ! [V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_snoc__listrel1__snoc__iff,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 & V_x_2 = V_y_2 ) % 183.16/183.15 | ( V_xs_2 = V_ys_2 % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listrel1E,axiom, % 183.16/183.15 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 183.16/183.15 => ~ ! [B_x,B_y] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) % 183.16/183.15 => ! [B_us,B_vs] : % 183.16/183.15 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs)) % 183.16/183.15 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__append__leftD,axiom, % 183.16/183.15 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate1__def,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__append1,axiom, % 183.16/183.15 ! [V_x_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_image__map__upd,axiom, % 183.16/183.15 ! [V_y_2,V_m_2,T_b,V_A_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),V_m_2),V_A_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__rotate1,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__rotate1,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__const,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_domI,axiom, % 183.16/183.15 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] : % 183.16/183.15 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insert__dom,axiom, % 183.16/183.15 ! [T_b,V_y_2,T_a,V_x_2,V_f_2] : % 183.16/183.15 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 183.16/183.15 => hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) = c_Map_Odom(T_b,T_a,V_f_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct1__rotate,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2))) % 183.16/183.15 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upd__eqD1,axiom, % 183.16/183.15 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_b,T_a] : % 183.16/183.15 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) % 183.16/183.15 => V_x_2 = V_y_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upd__triv,axiom, % 183.16/183.15 ! [T_b,V_x_2,T_a,V_k_2,V_t_2] : % 183.16/183.15 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 183.16/183.15 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = V_t_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upd__Some__unfold,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 183.16/183.15 <=> ( ( V_x_2 = V_a_2 % 183.16/183.15 & V_b_2 = V_y_2 ) % 183.16/183.15 | ( V_x_2 != V_a_2 % 183.16/183.15 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate1__is__Nil__conv,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__Cons,axiom, % 183.16/183.15 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__range__updI,axiom, % 183.16/183.15 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 183.16/183.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__twist,axiom, % 183.16/183.15 ! [V_bs_2,V_b_2,V_m_2,T_b,V_as_2,V_a_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_as_2))) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__upd__same,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__simps,axiom, % 183.16/183.15 ! [V_xs,V_x,T_b,T_a] : % 183.16/183.15 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 183.16/183.15 & 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate1__length01,axiom, % 183.16/183.15 ! [V_xs,T_a] : % 183.16/183.15 ( 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))) % 183.16/183.15 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upd__upds__conv__if,axiom, % 183.16/183.15 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_b,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2)))) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2)))) % 183.16/183.15 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osize_I2_J,axiom, % 183.16/183.15 ! [V_a_2,V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,hAPP(c_Option_Ooption_OSome(T_a),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osimps_I5_J,axiom, % 183.16/183.15 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Oinject,axiom, % 183.16/183.15 ! [V_a_H_2,V_a_2,T_a] : % 183.16/183.15 ( hAPP(c_Option_Ooption_OSome(T_a),V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_a_H_2) % 183.16/183.15 <=> V_a_2 = V_a_H_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__Some,axiom, % 183.16/183.15 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a),V_A_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_the_Osimps,axiom, % 183.16/183.15 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Oset_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_upd__conv__take__nth__drop,axiom, % 183.16/183.15 ! [V_a,V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__take__drop__id,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__via__drop,axiom, % 183.16/183.15 ! [V_ys,V_y,V_xs,V_n,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__1__Cons,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Suc__Cons,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__drop__subset,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__set__dropD,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__drop,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__zip,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__drop,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__0,axiom, % 183.16/183.15 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__drop,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__take,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_butlast__drop,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__butlast,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__drop,axiom, % 183.16/183.15 ! [V_i,V_xs,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Nil,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__drop__subset__set__drop,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_m_2,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__all,axiom, % 183.16/183.15 ! [V_n,V_xs,T_a] : % 183.16/183.15 ( 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)) % 183.16/183.15 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__eq__Nil,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_n_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__append,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__eq__conv__conj,axiom, % 183.16/183.15 ! [V_zs_2,V_ys_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2 % 183.16/183.15 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) % 183.16/183.15 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Cons,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Cons_H,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_n] : % 183.16/183.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__drop,axiom, % 183.16/183.15 ! [V_xs,T_a,V_i,V_n] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__eq__append__conv__if,axiom, % 183.16/183.15 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 183.16/183.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2))) % 183.16/183.15 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 183.16/183.15 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2))) % 183.16/183.15 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 183.16/183.15 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__drop_H,axiom, % 183.16/183.15 ! [V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Cons__number__of,axiom, % 183.16/183.15 ! [V_xs,V_x,T_a,V_v] : % 183.16/183.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__add,axiom, % 183.16/183.15 ! [V_xs,T_a,V_j,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_elem__set,axiom, % 183.16/183.15 ! [V_xo_2,V_x_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Option_Oset(T_a,V_xo_2))) % 183.16/183.15 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__append2,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__append1,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_id__take__nth__drop,axiom, % 183.16/183.15 ! [V_xs,T_a,V_i] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__hd__drop,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n] : % 183.16/183.15 ( 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))) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__drop__conv__nth,axiom, % 183.16/183.15 ! [V_n,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => ( 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))) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd_Osimps,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__append2,axiom, % 183.16/183.15 ! [V_ys,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__append,axiom, % 183.16/183.15 ! [V_ys,T_a,V_xs] : % 183.16/183.15 ( ( V_xs = c_List_Olist_ONil(T_a) % 183.16/183.15 => 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) ) % 183.16/183.15 & ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__in__set,axiom, % 183.16/183.15 ! [T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__conv__nth,axiom, % 183.16/183.15 ! [T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate1__hd__tl,axiom, % 183.16/183.15 ! [T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osize_I4_J,axiom, % 183.16/183.15 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__tl,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl__drop,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl_Osimps_I2_J,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__tl,axiom, % 183.16/183.15 ! [V_xs,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl__append2,axiom, % 183.16/183.15 ! [V_ys,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__tl,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__Suc,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__tl,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_tl__take,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__Suc,axiom, % 183.16/183.15 ! [V_n,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fold1__set,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 183.16/183.15 => ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__rotate__conv__nth,axiom, % 183.16/183.15 ! [V_n,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__rotate,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__def,axiom, % 183.16/183.15 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate1__rotate__swap,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__Nil,axiom, % 183.16/183.15 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__is__Nil__conv,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : % 183.16/183.15 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__rotate,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2))) % 183.16/183.15 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__add,axiom, % 183.16/183.15 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate0,axiom, % 183.16/183.15 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__assoc,axiom, % 183.16/183.15 ! [V_zs_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( class_Groups_Osemigroup__add(T_a) % 183.16/183.15 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__rotate,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__absorb0,axiom, % 183.16/183.15 ! [V_zs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_start__le__sum,axiom, % 183.16/183.15 ! [V_ns_2,V_n_2,V_m_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__rotate,axiom, % 183.16/183.15 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__Cons,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__conv__mod,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__Suc,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__foldl,axiom, % 183.16/183.15 ! [T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sum__eq__0__conv,axiom, % 183.16/183.15 ! [V_ns_2,V_m_2] : % 183.16/183.15 ( 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) % 183.16/183.15 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.15 & ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 183.16/183.15 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__id,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n] : % 183.16/183.15 ( 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) % 183.16/183.15 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__length01,axiom, % 183.16/183.15 ! [V_n,V_xs,T_a] : % 183.16/183.15 ( 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))) % 183.16/183.15 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 183.16/183.15 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 183.16/183.15 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Sup__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.16/183.15 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Inf__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.16/183.15 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Sup__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Lattices_Olattice(T_a) % 183.16/183.15 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Inf__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Lattices_Olattice(T_a) % 183.16/183.15 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Min__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Max__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_min__max_OInf__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_min__max_OSup__fin__set__fold,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_SUPR__set__fold,axiom, % 183.16/183.15 ! [V_f_2,V_xs_2,T_b,T_a] : % 183.16/183.15 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.16/183.15 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_INFI__set__fold,axiom, % 183.16/183.15 ! [V_f_2,V_xs_2,T_b,T_a] : % 183.16/183.15 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 183.16/183.15 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upds__fold__map__upd,axiom, % 183.16/183.15 ! [V_vs_2,V_ks_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),T_b))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b))))),c_Option_Ooption_OSome(T_b))),V_m_2),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ks_2),V_vs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_elem__le__sum,axiom, % 183.16/183.15 ! [V_ns_2,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__drop__take,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_ran__def,axiom, % 183.16/183.15 ! [V_m_2,T_a,T_b] : c_Map_Oran(T_b,T_a,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_a)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__append__rightI,axiom, % 183.16/183.15 ! [V_r_2,V_x_2,T_a,V_y_2] : % 183.16/183.15 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_ranI,axiom, % 183.16/183.15 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] : % 183.16/183.15 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_sorted__list__of__set__insert,axiom, % 183.16/183.15 ! [V_x_2,V_A_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lexord__Nil__left,axiom, % 183.16/183.15 ! [V_r_2,V_y_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 183.16/183.15 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__insort,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__not__Nil,axiom, % 183.16/183.15 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_remove1__insort,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__left__comm__insort,axiom, % 183.16/183.15 ! [T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__left__comm,axiom, % 183.16/183.15 ! [V_xs_2,V_y_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__key__left__comm,axiom, % 183.16/183.15 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__insort,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__key_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__key_Osimps_I1_J,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__insort,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2))) % 183.16/183.15 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__insert__insort__key,axiom, % 183.16/183.15 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)))) % 183.16/183.15 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__insert__insort,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__insort__insert,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] : % 183.16/183.15 ( class_Orderings_Olinorder(T_b) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__insert__triv,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__insort__insert,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_insort__insert__key__triv,axiom, % 183.16/183.15 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] : % 183.16/183.15 ( class_Orderings_Olinorder(T_a) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)))) % 183.16/183.15 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__list__update,axiom, % 183.16/183.15 ! [V_x,V_k,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => ( ( 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)) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 183.16/183.15 & ( 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)) % 183.16/183.15 => 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) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__conv__nth,axiom, % 183.16/183.15 ! [T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__append,axiom, % 183.16/183.15 ! [V_xs,T_a,V_ys] : % 183.16/183.15 ( ( V_ys = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 183.16/183.15 & ( V_ys != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__appendR,axiom, % 183.16/183.15 ! [V_xs,T_a,V_ys] : % 183.16/183.15 ( V_ys != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__appendL,axiom, % 183.16/183.15 ! [V_xs,T_a,V_ys] : % 183.16/183.15 ( V_ys = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last_Osimps,axiom, % 183.16/183.15 ! [V_x,T_a,V_xs] : % 183.16/183.15 ( ( V_xs = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 183.16/183.15 & ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__ConsR,axiom, % 183.16/183.15 ! [V_x,T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__ConsL,axiom, % 183.16/183.15 ! [V_x,T_a,V_xs] : % 183.16/183.15 ( V_xs = c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__in__set,axiom, % 183.16/183.15 ! [T_a,V_as_2] : % 183.16/183.15 ( V_as_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__snoc,axiom, % 183.16/183.15 ! [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 ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__drop,axiom, % 183.16/183.15 ! [V_xs,T_a,V_n] : % 183.16/183.15 ( 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))) % 183.16/183.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_snoc__eq__iff__butlast,axiom, % 183.16/183.15 ! [V_ys_2,V_x_2,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2 % 183.16/183.15 <=> ( V_ys_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2 % 183.16/183.15 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_append__butlast__last__id,axiom, % 183.16/183.15 ! [T_a,V_xs] : % 183.16/183.15 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.15 => 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 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists_Osimps,axiom, % 183.16/183.15 ! [V_A_2,V_a_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 <=> ( V_a_2 = c_List_Olist_ONil(T_a) % 183.16/183.15 | ? [B_a,B_l] : % 183.16/183.15 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 183.16/183.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__zip__upd,axiom, % 183.16/183.15 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_b,V_ys_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 183.16/183.15 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 183.16/183.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 183.16/183.15 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_z_2)) % 183.16/183.15 => hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) ) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__dom__map__of,axiom, % 183.16/183.15 ! [V_l_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_l_2)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__zip__inject,axiom, % 183.16/183.15 ! [V_zs_2,V_xs_2,T_b,V_ys_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 183.16/183.15 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 183.16/183.15 => ( hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) % 183.16/183.15 => V_ys_2 = V_zs_2 ) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__Cons__code_I2_J,axiom, % 183.16/183.15 ! [V_ps,V_v,T_c,T_b,V_k,V_l] : % 183.16/183.15 ( ( V_l = V_k % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) ) % 183.16/183.15 & ( V_l != V_k % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(hAPP(c_Map_Omap__of(T_b,T_c),V_ps),V_k) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__eq__dom,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_b,T_a] : % 183.16/183.15 ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) % 183.16/183.15 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_finite__range__map__of,axiom, % 183.16/183.15 ! [V_xys_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__SomeD,axiom, % 183.16/183.15 ! [V_y_2,V_k_2,V_xs_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__is__SomeD,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_xys_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__map__of__conv__image__fst,axiom, % 183.16/183.15 ! [V_xys_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__zip__is__Some,axiom, % 183.16/183.15 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 <=> ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__map__of__zip,axiom, % 183.16/183.15 ! [V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_a),V_xs_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_ps_2,V_p_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2)),hAPP(c_Option_Ooption_OSome(T_b),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_ran__distinct,axiom, % 183.16/183.15 ! [V_al_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_al_2))) % 183.16/183.15 => c_Map_Oran(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_al_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__map__of__compr,axiom, % 183.16/183.15 ! [V_xs_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))) % 183.16/183.15 => hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)))),c_Option_Ooption_OSome(T_b)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__mapI,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.16/183.15 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_foldl__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__size__map,axiom, % 183.16/183.15 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Omap_Oid,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Omap_Oidentity,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__map,axiom, % 183.16/183.15 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Omap_Ocompositionality,axiom, % 183.16/183.15 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__comp__map,axiom, % 183.16/183.15 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_List_Omap_Ocomp,axiom, % 183.16/183.15 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__map2,axiom, % 183.16/183.15 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__zip__map2,axiom, % 183.16/183.15 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__zip__map,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__map1,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__map__map,axiom, % 183.16/183.15 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__on__map__eq__map,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2))) % 183.16/183.15 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2) % 183.16/183.15 <=> V_xs_2 = V_ys_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__inj__on,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2) % 183.16/183.15 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 183.16/183.15 => V_xs_2 = V_ys_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nth__map,axiom, % 183.16/183.15 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__fun__upd,axiom, % 183.16/183.15 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(hAPP(c_List_Omap(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_length__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__eq__imp__length__eq,axiom, % 183.16/183.15 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2) % 183.16/183.15 => 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) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__tl,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__injective,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2) % 183.16/183.15 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 183.16/183.15 => V_xs_2 = V_ys_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__map__eq__map,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.16/183.15 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2) % 183.16/183.15 <=> V_xs_2 = V_ys_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__is__Nil__conv,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map_Osimps_I1_J,axiom, % 183.16/183.15 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nil__is__map__conv,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) % 183.16/183.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__butlast,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_take__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__ident,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__subtractf,axiom, % 183.16/183.15 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( class_Groups_Oab__group__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__const__mult,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,V_ca_2,T_b,T_a] : % 183.16/183.15 ( class_Rings_Osemiring__0(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__mult__const,axiom, % 183.16/183.15 ! [V_xs_2,V_ca_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( class_Rings_Osemiring__0(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_ca_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__0,axiom, % 183.16/183.15 ! [V_xs_2,T_b,T_a] : % 183.16/183.15 ( class_Groups_Omonoid__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__addf,axiom, % 183.16/183.15 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__eq__conv,axiom, % 183.16/183.15 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2) % 183.16/183.15 <=> ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 183.16/183.15 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__update,axiom, % 183.16/183.15 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__append,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_hd__map,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_drop__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_rotate__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_last__map,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_distinct__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) % 183.16/183.15 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 183.16/183.15 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__abs,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : % 183.16/183.15 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_uminus__listsum__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( class_Groups_Oab__group__add(T_a) % 183.16/183.15 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__on__mapI,axiom, % 183.16/183.15 ! [V_A_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2))) % 183.16/183.15 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__fst__zip,axiom, % 183.16/183.15 ! [V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__snd__zip,axiom, % 183.16/183.15 ! [V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__map__fst__snd,axiom, % 183.16/183.15 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__mapD,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) % 183.16/183.15 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_inj__map,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) % 183.16/183.15 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_pick__member,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_i_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 183.16/183.15 ! [V_f_2,V_xs_2,T_a,T_b] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_b) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__eq__conv,axiom, % 183.16/183.15 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2 % 183.16/183.15 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2 % 183.16/183.15 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__triv,axiom, % 183.16/183.15 ! [V_xs_2,V_r_2,T_b,T_a] : % 183.16/183.15 ( class_Rings_Osemiring__1(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__inject__set,axiom, % 183.16/183.15 ! [V_ys_2,V_xs_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2))) % 183.16/183.15 => ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) % 183.16/183.15 <=> hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__map__remove1,axiom, % 183.16/183.15 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_b) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select__weight__member,axiom, % 183.16/183.15 ! [V_s_2,V_xs_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select__weight__def,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__mapk__SomeI,axiom, % 183.16/183.15 ! [V_x_2,V_k_2,V_t_2,T_c,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.16/183.15 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_c),V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_a),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__is__SomeI,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__eq__Some__iff,axiom, % 183.16/183.15 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 183.16/183.15 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Some__eq__map__of__iff,axiom, % 183.16/183.15 ! [V_x_2,V_y_2,V_xys_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 183.16/183.15 => ( hAPP(c_Option_Ooption_OSome(T_b),V_y_2) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Nitpick_Osetsum_H__def,axiom, % 183.16/183.15 ! [V_f_2,V_A_2,T_a,T_b] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_b) % 183.16/183.15 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.15 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsum__mono,axiom, % 183.16/183.15 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] : % 183.16/183.15 ( ( class_Groups_Omonoid__add(T_b) % 183.16/183.15 & class_Groups_Oordered__ab__semigroup__add(T_b) ) % 183.16/183.15 => ( ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 183.16/183.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zip__same__conv__map,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_list__size__conv__listsum,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 183.16/183.15 ! [V_j_2,V_i_2,V_f_2,T_a] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 183.16/183.15 ! [V_l_2,V_k_2,V_f_2,T_a] : % 183.16/183.15 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__map__restrict,axiom, % 183.16/183.15 ! [V_ks_2,V_f_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_a,T_b,hAPP(c_Fun_Ocomp(T_b,tc_Option_Ooption(T_b),T_a,c_Option_Ooption_OSome(T_b)),V_f_2),hAPP(c_List_Oset(T_a),V_ks_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__map__keys,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Map_Odom(T_a,T_b,V_m_2) % 183.16/183.15 => hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),T_b,T_a),c_Option_Othe(T_b)),V_m_2))),V_xs_2)) = V_m_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select__weigth__select,axiom, % 183.16/183.15 ! [T_a,V_xs_2] : % 183.16/183.15 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.15 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_pick__same,axiom, % 183.16/183.15 ! [V_xs_2,T_a,V_l_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.15 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_l_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__map,axiom, % 183.16/183.15 ! [V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Map_Omap__of(T_a,T_c),V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Omap_Ocomp,axiom, % 183.16/183.15 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Option_Omap(T_a,T_c),V_g_2)) = hAPP(c_Option_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Omap_Ocompositionality,axiom, % 183.16/183.15 ! [V_option_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_option_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__comp,axiom, % 183.16/183.15 ! [V_opt_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_opt_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__o__map__upd,axiom, % 183.16/183.15 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_b_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Omap_Oidentity,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Omap_Oid,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_less__code__numeral__code,axiom, % 183.16/183.15 ! [V_m_2,V_n_2] : % 183.16/183.15 ( 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))) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_code__numeral_Oof__nat__inject,axiom, % 183.16/183.15 ! [V_y_2,V_x_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 183.16/183.15 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 183.16/183.15 <=> V_x_2 = V_y_2 ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__option__map,axiom, % 183.16/183.15 ! [V_m_2,V_f_2,T_c,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),T_a),c_Option_Omap(T_c,T_b)),V_f_2)),V_m_2)) = c_Map_Odom(T_a,T_c,V_m_2) ). % 183.16/183.15 % 183.16/183.15 fof(fact_times__code__numeral__code,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 183.16/183.15 ! [V_m_2,V_n_2] : % 183.16/183.15 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 183.16/183.15 <=> V_n_2 = V_m_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 183.16/183.15 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.15 % 183.16/183.15 fof(fact_zero__code__numeral__def,axiom, % 183.16/183.15 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__eq__Some,axiom, % 183.16/183.15 ! [V_y_2,V_xo_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 183.16/183.15 <=> ? [B_z] : % 183.16/183.15 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),B_z) % 183.16/183.15 & hAPP(V_f_2,B_z) = V_y_2 ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__Some,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f_2,V_x_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_one__code__numeral__def,axiom, % 183.16/183.15 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_number__of__code__numeral__def,axiom, % 183.16/183.15 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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_plus__code__numeral__code,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_less__eq__code__numeral__code,axiom, % 183.16/183.15 ! [V_m_2,V_n_2] : % 183.16/183.15 ( 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))) % 183.16/183.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_code__numeral__not__eq__zero,axiom, % 183.16/183.15 ! [V_i_2] : % 183.16/183.15 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 183.16/183.15 <=> 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)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_select__def,axiom, % 183.16/183.15 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_subtract__code__numeral__code,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_times__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of__of__nat,axiom, % 183.16/183.15 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 183.16/183.15 % 183.16/183.15 fof(fact_of__nat__nat__of,axiom, % 183.16/183.15 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of__inverse,axiom, % 183.16/183.15 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 183.16/183.15 % 183.16/183.15 fof(fact_code__numeral_Onat__of__inject,axiom, % 183.16/183.15 ! [V_y_2,V_x_2] : % 183.16/183.15 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 183.16/183.15 <=> V_x_2 = V_y_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 183.16/183.15 ! [V_l_2,V_k_2] : % 183.16/183.15 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 183.16/183.15 <=> V_k_2 = V_l_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_type__definition__code__numeral,axiom, % 183.16/183.15 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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_less__code__numeral__def,axiom, % 183.16/183.15 ! [V_m_2,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 183.16/183.15 <=> 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of,axiom, % 183.16/183.15 ! [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)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of__number,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_int__of__def,axiom, % 183.16/183.15 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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_less__eq__code__numeral__def,axiom, % 183.16/183.15 ! [V_m_2,V_n_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 183.16/183.15 <=> 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of__code,axiom, % 183.16/183.15 ! [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)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_nat__of__aux__def,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Suc__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_minus__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_of__nat__inverse,axiom, % 183.16/183.15 ! [V_y_2] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 183.16/183.15 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_plus__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_div__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_minus__code__numeral__code,axiom, % 183.16/183.15 ! [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) ). % 183.16/183.15 % 183.16/183.15 fof(fact_subtract__code__numeral__def,axiom, % 183.16/183.15 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.15 % 183.16/183.15 fof(fact_mod__code__numeral__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_code__numeral__decr,axiom, % 183.16/183.15 ! [V_k] : % 183.16/183.15 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 183.16/183.15 => 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))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 183.16/183.15 ! [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))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_weak__map__of__SomeI,axiom, % 183.16/183.15 ! [V_l_2,V_x_2,V_k_2,T_b,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_l_2))) % 183.16/183.15 => ? [B_x] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_x) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__zip__map,axiom, % 183.16/183.15 ! [V_f_2,T_b,V_xs_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.15 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_partition__set,axiom, % 183.16/183.15 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] : % 183.16/183.15 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2) % 183.16/183.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__None,axiom, % 183.16/183.15 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__is__None,axiom, % 183.16/183.15 ! [V_opt_2,V_f_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.15 <=> V_opt_2 = c_Option_Ooption_ONone(T_b) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_ran__empty,axiom, % 183.16/183.15 ! [T_a,T_b] : c_Map_Oran(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osimps_I3_J,axiom, % 183.16/183.15 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__Some__eq,axiom, % 183.16/183.15 ! [T_a,V_x_2] : % 183.16/183.15 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_a),B_y) % 183.16/183.15 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_not__None__eq,axiom, % 183.16/183.15 ! [T_a,V_x_2] : % 183.16/183.15 ( V_x_2 != c_Option_Ooption_ONone(T_a) % 183.16/183.15 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_a),B_y) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osimps_I4_J,axiom, % 183.16/183.15 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_b)) = V_f1_2 ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__map__to__empty,axiom, % 183.16/183.15 ! [V_x_2,V_m_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__map__empty,axiom, % 183.16/183.15 ! [V_x_2,V_D_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__map__def,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__out,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 183.16/183.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 183.16/183.15 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__def,axiom, % 183.16/183.15 ! [V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_b)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_domIff,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_a_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) % 183.16/183.15 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__empty,axiom, % 183.16/183.15 ! [T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__eq__empty__conv,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Map_Odom(T_a,T_b,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.16/183.15 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_empty__upd__none,axiom, % 183.16/183.15 ! [V_xa_2,V_x_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))),V_x_2),c_Option_Ooption_ONone(T_a)),V_xa_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__upd__nonempty,axiom, % 183.16/183.15 ! [V_x_2,V_k_2,V_t_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_set__empty__eq,axiom, % 183.16/183.15 ! [V_xo_2,T_a] : % 183.16/183.15 ( c_Option_Oset(T_a,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.16/183.15 <=> V_xo_2 = c_Option_Ooption_ONone(T_a) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Oset_Osimps_I1_J,axiom, % 183.16/183.15 ! [T_a] : c_Option_Oset(T_a,c_Option_Ooption_ONone(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__Cons__code_I1_J,axiom, % 183.16/183.15 ! [V_k,T_a,T_b] : hAPP(hAPP(c_Map_Omap__of(T_b,T_a),c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of_Osimps_I1_J,axiom, % 183.16/183.15 ! [V_x_1,T_b,T_a] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option__map__o__empty,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),T_c,hAPP(c_Option_Omap(T_b,T_a),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.15 % 183.16/183.15 fof(fact_Option_Omap__def,axiom, % 183.16/183.15 ! [V_f_2,T_b,T_a] : hAPP(c_Option_Omap(T_a,T_b),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_a,c_Option_Ooption_ONone(T_b),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osize_I3_J,axiom, % 183.16/183.15 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.15 % 183.16/183.15 fof(fact_option_Osize_I1_J,axiom, % 183.16/183.15 ! [V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__minus,axiom, % 183.16/183.15 ! [V_A_2,T_b,T_a,V_x_2,V_f_2] : % 183.16/183.15 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),V_A_2) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_partition__P,axiom, % 183.16/183.15 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] : % 183.16/183.15 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2) % 183.16/183.15 => ( ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2))) % 183.16/183.15 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.15 & ! [B_x] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2))) % 183.16/183.15 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_partition_Osimps_I1_J,axiom, % 183.16/183.15 ! [V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_ran__map__upd,axiom, % 183.16/183.15 ! [V_b_2,T_b,T_a,V_a_2,V_m_2] : % 183.16/183.15 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.15 => c_Map_Oran(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__zip__is__None,axiom, % 183.16/183.15 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.15 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_b) % 183.16/183.15 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_partition_Osimps_I2_J,axiom, % 183.16/183.15 ! [V_xs_2,V_x_2,V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_P_2,V_xs_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__fun__upd,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_b,T_a,V_y_2] : % 183.16/183.15 ( ( V_y_2 = c_Option_Ooption_ONone(T_a) % 183.16/183.15 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) % 183.16/183.15 & ( V_y_2 != c_Option_Ooption_ONone(T_a) % 183.16/183.15 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_restrict__complement__singleton__eq,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_b)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_map__of__eq__None__iff,axiom, % 183.16/183.15 ! [V_x_2,V_xys_2,T_a,T_b] : % 183.16/183.15 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.15 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2)))) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_UNIV__option__conv,axiom, % 183.16/183.15 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_dom__eq__singleton__conv,axiom, % 183.16/183.15 ! [V_x_2,V_f_2,T_b,T_a] : % 183.16/183.15 ( c_Map_Odom(T_a,T_b,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 183.16/183.15 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),B_v)) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_fun__upd__None__restrict,axiom, % 183.16/183.15 ! [V_m_2,T_b,V_D_2,V_x_2,T_a] : % 183.16/183.15 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 183.16/183.15 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) % 183.16/183.15 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 183.16/183.15 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__Int__eq,axiom, % 183.16/183.15 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_lists__IntI,axiom, % 183.16/183.15 ! [V_B_2,V_A_2,V_l_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2))) % 183.16/183.15 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2))) % 183.16/183.15 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsp_ONil,axiom, % 183.16/183.15 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsp_Oequations_I1_J,axiom, % 183.16/183.15 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsp__infI,axiom, % 183.16/183.15 ! [V_B_2,V_l_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2)) % 183.16/183.15 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2)) % 183.16/183.15 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsp__inf__eq,axiom, % 183.16/183.15 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ). % 183.16/183.15 % 183.16/183.15 fof(fact_listsp__conj__eq,axiom, % 183.16/183.15 ! [V_x_2,V_B_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 183.16/183.15 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2)) % 183.16/183.15 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ). % 183.16/183.15 % 183.16/183.15 fof(fact_in__listsp__conv__set,axiom, % 183.16/183.15 ! [V_xs_2,V_A_2,T_a] : % 183.16/183.15 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2)) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_listsp_Oequations_I2_J,axiom, % 183.16/183.16 ! [V_a2_2,V_a1_2,V_A_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2))) % 183.16/183.16 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 183.16/183.16 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_append__in__listsp__conv,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_A_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))) % 183.16/183.16 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2)) % 183.16/183.16 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_listsp__mono,axiom, % 183.16/183.16 ! [V_B_2,V_A_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_listsp__lists__eq,axiom, % 183.16/183.16 ! [V_x_2,V_A_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,T_a] : c_Smallcheck_Oorelse(T_a,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,V_y_2,c_Option_Ooption_OSome(T_a)),V_x_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_product_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_product_Osimps_I1_J,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__product,axiom, % 183.16/183.16 ! [V_ys,T_b,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_product__list__set,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublists__powset,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__sublists,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublists_Osimps_I1_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublists_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__set__sublists,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__n__lists,axiom, % 183.16/183.16 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__the__def,axiom, % 183.16/183.16 ! [V_P_2,T_a] : c_Enum_Oenum__the(T_a,V_P_2) = c_HOL_OThe(T_a,V_P_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__n__lists,axiom, % 183.16/183.16 ! [V_n,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_n__lists__Nil,axiom, % 183.16/183.16 ! [T_a,V_n] : % 183.16/183.16 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => 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))) ) % 183.16/183.16 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_n__lists_Osimps_I1_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__n__lists,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__n__lists__elem,axiom, % 183.16/183.16 ! [V_xs_2,V_n_2,V_ys_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)))) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_full__small__int__def,axiom, % 183.16/183.16 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__of__zip__enum__inject,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b)) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b)) % 183.16/183.16 => ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_xs_2))) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_ys_2))) % 183.16/183.16 => V_xs_2 = V_ys_2 ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__option__def,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => c_Enum_Oenum__class_Oenum(tc_Option_Ooption(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(hAPP(c_List_Omap(T_a,tc_Option_Ooption(T_a)),c_Option_Ooption_OSome(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__distinct,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_Enum_Oenum__class_Oenum(T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__prod__def,axiom, % 183.16/183.16 ! [T_b,T_a] : % 183.16/183.16 ( ( class_Enum_Oenum(T_a) % 183.16/183.16 & class_Enum_Oenum(T_b) ) % 183.16/183.16 => c_Enum_Oenum__class_Oenum(tc_prod(T_a,T_b)) = c_Enum_Oproduct(T_a,T_b,c_Enum_Oenum__class_Oenum(T_a),c_Enum_Oenum__class_Oenum(T_b)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__enum,axiom, % 183.16/183.16 ! [V_x_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__UNIV,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_UNIV__enum,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__fun__def,axiom, % 183.16/183.16 ! [T_b,T_a] : % 183.16/183.16 ( ( class_Enum_Oenum(T_a) % 183.16/183.16 & class_Enum_Oenum(T_b) ) % 183.16/183.16 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__fun__code,axiom, % 183.16/183.16 ! [T_b,T_a] : % 183.16/183.16 ( ( class_Enum_Oenum(T_a) % 183.16/183.16 & class_HOL_Oequal(T_a) % 183.16/183.16 & class_Enum_Oenum(T_b) ) % 183.16/183.16 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_ex__n__lists__def,axiom, % 183.16/183.16 ! [V_n_2,V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( c_Enum_Oex__n__lists(T_a,V_P_2,V_n_2) % 183.16/183.16 <=> ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a))))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_all__n__lists__def,axiom, % 183.16/183.16 ! [V_n_2,V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( c_Enum_Oall__n__lists(T_a,V_P_2,V_n_2) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a))))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__all__fun__def,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__ex__fun__def,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__ex,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) % 183.16/183.16 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__all,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) % 183.16/183.16 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_exists__code,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 183.16/183.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_all__code,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 183.16/183.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__all__prod__def,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__ex__prod__def,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__all__option__def,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(T_a)),V_P_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a))) % 183.16/183.16 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__ex__option__def,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(T_a)),V_P_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a))) % 183.16/183.16 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_order__fun_I1_J,axiom, % 183.16/183.16 ! [V_g_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( ( class_Orderings_Oorder(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 183.16/183.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_order__fun_I2_J,axiom, % 183.16/183.16 ! [V_g_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( ( class_Orderings_Oorder(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 183.16/183.16 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__ex__fun__code,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) % 183.16/183.16 & class_HOL_Oequal(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_enum__all__fun__code,axiom, % 183.16/183.16 ! [V_P_2,T_a,T_b] : % 183.16/183.16 ( ( class_Enum_Oenum(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) % 183.16/183.16 & class_HOL_Oequal(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2)) % 183.16/183.16 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small_H_Osimps,axiom, % 183.16/183.16 ! [V_f_2,V_i_2,V_d_2] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__of__zip__enum__is__Some,axiom, % 183.16/183.16 ! [V_x,V_ys,T_b,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)) % 183.16/183.16 => ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a)),V_ys)),V_x) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small_H_Opsimps,axiom, % 183.16/183.16 ! [V_i_2,V_d_2,V_f_2] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))) % 183.16/183.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__int__def,axiom, % 183.16/183.16 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__prod__def,axiom, % 183.16/183.16 ! [V_d_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( ( class_Smallcheck_Osmall(T_b) % 183.16/183.16 & class_Smallcheck_Osmall(T_a) ) % 183.16/183.16 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_a,T_b)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_a),hAPP(hAPP(c_COMBC(T_a,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),c_Smallcheck_Osmall__class_Osmall(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b)))),V_d_2)),V_d_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small_H_Opinduct,axiom, % 183.16/183.16 ! [V_P_2,V_a2_2,V_a1_2,V_a0_2] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2)))) % 183.16/183.16 => ( ! [B_f,B_d,B_i] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))) % 183.16/183.16 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 183.16/183.16 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) % 183.16/183.16 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) % 183.16/183.16 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),B_i)) ) ) % 183.16/183.16 => hBOOL(hAPP(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__def,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.16 & ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__lengthD,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__dropI,axiom, % 183.16/183.16 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,V_bs_2) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__eq,axiom, % 183.16/183.16 ! [T_a,V_ys_2,V_xs_2] : % 183.16/183.16 ( V_xs_2 = V_ys_2 % 183.16/183.16 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__takeI,axiom, % 183.16/183.16 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__Nil2,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,c_List_Olist_ONil(T_b)) % 183.16/183.16 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__Nil,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,c_List_Olist_ONil(T_a),V_ys_2) % 183.16/183.16 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__appendI,axiom, % 183.16/183.16 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) % 183.16/183.16 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_ca_2,V_d_2) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__append,axiom, % 183.16/183.16 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.16 => ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2)) % 183.16/183.16 <=> ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 & c_List_Olist__all2(T_a,T_b,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__map1,axiom, % 183.16/183.16 ! [V_bs_2,V_as_2,V_f_2,T_c,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2) % 183.16/183.16 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__map2,axiom, % 183.16/183.16 ! [V_bs_2,V_f_2,T_c,V_as_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2)) % 183.16/183.16 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__Cons,axiom, % 183.16/183.16 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 183.16/183.16 & c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__conv__all__nth,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 183.16/183.16 & ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__nthD,axiom, % 183.16/183.16 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__nthD2,axiom, % 183.16/183.16 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__update__cong,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_b,V_xs_2,T_a,V_i_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__update__cong2,axiom, % 183.16/183.16 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2I,axiom, % 183.16/183.16 ! [V_P_2,V_b_2,V_a_2,T_b,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2)))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_all__nth__imp__all__set,axiom, % 183.16/183.16 ! [V_x_2,V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_body__def,axiom, % 183.16/183.16 c_Com_Obody = hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies) ). % 183.16/183.16 % 183.16/183.16 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 183.16/183.16 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 183.16/183.16 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__remdups,axiom, % 183.16/183.16 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__remdups__leq,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remove1__remdups,axiom, % 183.16/183.16 ! [V_x,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__remdups__id,axiom, % 183.16/183.16 ! [V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__id__iff__distinct,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2 % 183.16/183.16 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__remdups__eq,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) % 183.16/183.16 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__remdups,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__remdups,axiom, % 183.16/183.16 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__eq__nil__iff,axiom, % 183.16/183.16 ! [V_x_2,T_a] : % 183.16/183.16 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__eq__nil__right__iff,axiom, % 183.16/183.16 ! [V_x_2,T_a] : % 183.16/183.16 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2) % 183.16/183.16 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups_Osimps_I1_J,axiom, % 183.16/183.16 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__map__remdups,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__remdups__card__conv,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__remdups__concat,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat_Osimps_I2_J,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__concat,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__eq__Nil__conv,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : % 183.16/183.16 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2))) % 183.16/183.16 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Nil__eq__concat__conv,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : % 183.16/183.16 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2))) % 183.16/183.16 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat_Osimps_I1_J,axiom, % 183.16/183.16 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sort__key__simps_I1_J,axiom, % 183.16/183.16 ! [V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldl__conv__concat,axiom, % 183.16/183.16 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__conv__foldl,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__sort,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__sort,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__sort,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2))) % 183.16/183.16 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__concat,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__concat,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sort__key__simps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__append,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sort__foldl__insort,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__eq__concat__iff,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) ) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2) % 183.16/183.16 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2) % 183.16/183.16 <=> V_xs_2 = V_ys_2 ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__injective,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2) % 183.16/183.16 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) ) % 183.16/183.16 => V_xs_2 = V_ys_2 ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__map__singleton,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_n__lists_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Osimps_I3_J,axiom, % 183.16/183.16 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__aux__filter__head,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__concat,axiom, % 183.16/183.16 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__sort,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,V_P_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Osimps_I2_J,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__filter,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_partition__filter2,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_P_2)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__filter__le,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sum__length__filter__compl,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__id__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = V_xs_2 % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__is__subset,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__insort__triv,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,V_x_2,V_P_2,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_Q_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__remove1,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_Q_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Q_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remove1__filter__not,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_partition__filter1,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Osimps_I1_J,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__append,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__empty__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_remdups__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oremdups(T_a,V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__transpose,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_i_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__map__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_P_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__filter__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__filter__less,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_partition__filter__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__minus__filter__out,axiom, % 183.16/183.16 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__in__sublist,axiom, % 183.16/183.16 ! [V_s_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__empty,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a)) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__filter__conv__card,axiom, % 183.16/183.16 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__aux__filter__tail,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Opsimps_I3_J,axiom, % 183.16/183.16 ! [V_xss_2,V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2))) % 183.16/183.16 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__filter__def,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),V_f_2)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_a)))),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__filter__simps_I2_J,axiom, % 183.16/183.16 ! [V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__of__filter__in,axiom, % 183.16/183.16 ! [V_P_2,V_z_2,V_k_2,V_xs_2,T_a,T_b] : % 183.16/183.16 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(V_P_2,V_k_2),V_z_2)) % 183.16/183.16 => hAPP(hAPP(c_Map_Omap__of(T_b,T_a),hAPP(c_List_Ofilter(tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__filter__simps_I1_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_a),T_a,c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublist__shift__lemma__Suc,axiom, % 183.16/183.16 ! [V_is_2,V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pick__drop__zero,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_a,V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_select__weigth__drop__zero,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Opsimps_I1_J,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a)))) % 183.16/183.16 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__filter__map__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = c_List_Omap__filter(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_Option_Ooption(T_a)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),T_b),c_If(tc_Option_Ooption(T_a))),V_P_2)),hAPP(hAPP(c_COMBB(T_a,tc_Option_Ooption(T_a),T_b),c_Option_Ooption_OSome(T_a)),V_f_2))),c_Option_Ooption_ONone(T_a)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose_Opsimps_I2_J,axiom, % 183.16/183.16 ! [V_xss_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2))) % 183.16/183.16 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__max__length,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__aux__max,axiom, % 183.16/183.16 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr__conv__foldl,axiom, % 183.16/183.16 ! [V_a_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Groups_Oab__semigroup__add(T_a) % 183.16/183.16 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr__append,axiom, % 183.16/183.16 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr__map,axiom, % 183.16/183.16 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldl__foldr1,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( class_Groups_Omonoid__add(T_a) % 183.16/183.16 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldl__foldr1__lemma,axiom, % 183.16/183.16 ! [V_xs_2,V_a_2,T_a] : % 183.16/183.16 ( class_Groups_Omonoid__add(T_a) % 183.16/183.16 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__transpose,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublist__def,axiom, % 183.16/183.16 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sublist__shift__lemma,axiom, % 183.16/183.16 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__upt,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_atLeastLessThan__upt,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__conv__Cons,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__rec,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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)) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__Suc,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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))) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__Suc__append,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__add__eq__append,axiom, % 183.16/183.16 ! [V_k,V_j,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__0,axiom, % 183.16/183.16 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__eq__Nil__conv,axiom, % 183.16/183.16 ! [V_j_2,V_i_2] : % 183.16/183.16 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 183.16/183.16 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__conv__Nil,axiom, % 183.16/183.16 ! [V_i,V_j] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 183.16/183.16 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_take__upt,axiom, % 183.16/183.16 ! [V_n,V_m,V_i] : % 183.16/183.16 ( 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)) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__list__of__set__range,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_hd__upt,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_drop__upt,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__upt,axiom, % 183.16/183.16 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__upt,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__rec__number__of,axiom, % 183.16/183.16 ! [V_n,V_m] : % 183.16/183.16 ( ( 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))) % 183.16/183.16 => 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))) ) % 183.16/183.16 & ( ~ 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))) % 183.16/183.16 => 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) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_upt__eq__Cons__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 183.16/183.16 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 183.16/183.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 183.16/183.16 & V_i_2 = V_x_2 % 183.16/183.16 & 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 ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_last__upt,axiom, % 183.16/183.16 ! [V_j,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__Suc__upt,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_atLeastAtMost__upt,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_atLeast__upt,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__upt,axiom, % 183.16/183.16 ! [V_j,V_k,V_i] : % 183.16/183.16 ( 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)) % 183.16/183.16 => 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) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_greaterThanAtMost__upt,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_greaterThanLessThan__upt,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_atMost__upto,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__nth,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 183.16/183.16 ! [V_n_2,V_m_2,V_f_2,T_a] : % 183.16/183.16 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 183.16/183.16 ! [V_n_2,V_m_2,V_f_2,T_a] : % 183.16/183.16 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.16 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__map__upt,axiom, % 183.16/183.16 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] : % 183.16/183.16 ( 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))) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__rectangle,axiom, % 183.16/183.16 ! [V_n_2,T_a,V_xs_2] : % 183.16/183.16 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a)) % 183.16/183.16 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 183.16/183.16 => ( ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 ) % 183.16/183.16 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_insort__key__remove1,axiom, % 183.16/183.16 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) % 183.16/183.16 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 183.16/183.16 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted_ONil,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__single,axiom, % 183.16/183.16 ! [V_x,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__upt,axiom, % 183.16/183.16 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__sort,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__insort,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) % 183.16/183.16 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__drop,axiom, % 183.16/183.16 ! [V_n,V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__take,axiom, % 183.16/183.16 ! [V_n,V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__upto,axiom, % 183.16/183.16 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__remove1,axiom, % 183.16/183.16 ! [V_a,V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__tl,axiom, % 183.16/183.16 ! [V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__insort__insert,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted_Oequations_I1_J,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__butlast,axiom, % 183.16/183.16 ! [V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__many,axiom, % 183.16/183.16 ! [V_zs,V_y,V_x,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 183.16/183.16 => 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))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__many__eq,axiom, % 183.16/183.16 ! [V_zs_2,V_y_2,V_x_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2))) % 183.16/183.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__remdups,axiom, % 183.16/183.16 ! [V_l,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__distinct__set__unique,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2)) % 183.16/183.16 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2) % 183.16/183.16 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__sort__key,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__insort__insert__key,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__map__remove1,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__insort__key,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2))) % 183.16/183.16 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__filter,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__map__same,axiom, % 183.16/183.16 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__same,axiom, % 183.16/183.16 ! [V_xs_2,V_g_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__Cons,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 183.16/183.16 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 & ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__append,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 183.16/183.16 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,V_ys_2) % 183.16/183.16 & ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ! [B_xa] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__insort,axiom, % 183.16/183.16 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 183.16/183.16 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted_Oequations_I2_J,axiom, % 183.16/183.16 ! [V_a1_2,V_a2_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2)) % 183.16/183.16 <=> ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) ) % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__list__of__set,axiom, % 183.16/183.16 ! [V_A_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.16 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2 % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) % 183.16/183.16 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_insort__remove1,axiom, % 183.16/183.16 ! [V_xs_2,V_a_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__nth__mono,axiom, % 183.16/183.16 ! [V_j,V_i,V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => ( 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))) % 183.16/183.16 => 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))) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__equals__nth__mono,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 <=> ! [B_j] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__sorted__distinct__set__unique,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2))) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))) % 183.16/183.16 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2) % 183.16/183.16 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__column,axiom, % 183.16/183.16 ! [V_i_2,V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__nth__transpose__sorted,axiom, % 183.16/183.16 ! [V_j_2,V_i_2,V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)))) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_inj__on__rev,axiom, % 183.16/183.16 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__rev,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2))) % 183.16/183.16 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__is__Nil__conv,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Nil__is__rev__conv,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2) % 183.16/183.16 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev_Osimps_I1_J,axiom, % 183.16/183.16 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__append,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__singleton__conv,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) % 183.16/183.16 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_singleton__rev__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2) % 183.16/183.16 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__concat,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev_Osimps_I2_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__eq__Cons__iff,axiom, % 183.16/183.16 ! [V_ys_2,V_y_2,V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2) % 183.16/183.16 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Orev(T_a),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_zip__rev,axiom, % 183.16/183.16 ! [V_ys,T_b,V_xs,T_a] : % 183.16/183.16 ( 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) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__rev,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__rev,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2)) % 183.16/183.16 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__rev1,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 183.16/183.16 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2) % 183.16/183.16 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_listsum__rev,axiom, % 183.16/183.16 ! [V_xs,T_a] : % 183.16/183.16 ( class_Groups_Ocomm__monoid__add(T_a) % 183.16/183.16 => 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) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__rev__ident,axiom, % 183.16/183.16 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__swap,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2 % 183.16/183.16 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__is__rev__conv,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2) % 183.16/183.16 <=> V_xs_2 = V_ys_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__rev,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr__foldl,axiom, % 183.16/183.16 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldl__foldr,axiom, % 183.16/183.16 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_hd__rev,axiom, % 183.16/183.16 ! [T_a,V_xs] : % 183.16/183.16 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.16 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_last__rev,axiom, % 183.16/183.16 ! [T_a,V_xs] : % 183.16/183.16 ( V_xs != c_List_Olist_ONil(T_a) % 183.16/183.16 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__transpose,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__foldl__cons,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__drop,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__take,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rotate__rev,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__nth,axiom, % 183.16/183.16 ! [V_xs,T_a,V_n] : % 183.16/183.16 ( 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))) % 183.16/183.16 => 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))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__update,axiom, % 183.16/183.16 ! [V_y,V_xs,T_a,V_k] : % 183.16/183.16 ( 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))) % 183.16/183.16 => 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) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__rev__nth__mono,axiom, % 183.16/183.16 ! [V_j,V_i,V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 183.16/183.16 => ( 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))) % 183.16/183.16 => 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))) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldr__max__sorted,axiom, % 183.16/183.16 ! [V_y_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2)) % 183.16/183.16 => ( ( V_xs_2 = c_List_Olist_ONil(T_a) % 183.16/183.16 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 ) % 183.16/183.16 & ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.16 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__transpose__sorted,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a)) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 183.16/183.16 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a)) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__column__length,axiom, % 183.16/183.16 ! [V_i_2,V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transpose__transpose,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 183.16/183.16 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 183.16/183.16 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__takeWhile,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__takeWhile__le,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__takeWhileD,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__eq__all__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = V_xs_2 % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_zip__takeWhile__snd,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_zip__takeWhile__fst,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__tail,axiom, % 183.16/183.16 ! [V_l_2,V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__eq__take,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__takeWhile,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_return__list__def,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__append1,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__nth,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a,V_j_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__length__takeWhile,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__not__last,axiom, % 183.16/183.16 ! [T_a,V_xs_2] : % 183.16/183.16 ( V_xs_2 != c_List_Olist_ONil(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 183.16/183.16 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) % 183.16/183.16 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transfer__nat__int__list__return__embed,axiom, % 183.16/183.16 ! [V_l] : % 183.16/183.16 ( c_List_Onat__list(V_l) % 183.16/183.16 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_embed__list__def,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__neq__rev,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__neq__rev,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__dropWhile__id,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)) = V_xs_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__map,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__dropWhile,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_P_2,V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__dropWhile__le,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__eq__Nil__conv,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_P_2,V_xs_2) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__dropWhile,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_hd__dropWhile,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) != c_List_Olist_ONil(T_a) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__append1,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__eq__Cons__conv,axiom, % 183.16/183.16 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2) % 183.16/183.16 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) % 183.16/183.16 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__eq__drop,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__nth,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a,V_j_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_listsum__map__filter,axiom, % 183.16/183.16 ! [V_f_2,V_P_2,V_xs_2,T_a,T_b] : % 183.16/183.16 ( class_Groups_Omonoid__add(T_b) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 183.16/183.16 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) % 183.16/183.16 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted__nth__monoI,axiom, % 183.16/183.16 ! [V_xs,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( ! [B_i,B_j] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 183.16/183.16 => ( 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))) % 183.16/183.16 => 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))) ) ) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__eq__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__eq__take__P__nth,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a,V_n_2] : % 183.16/183.16 ( ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) % 183.16/183.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__takeWhile__less__P__nth,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_P_2,V_j_2] : % 183.16/183.16 ( ! [B_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted_Osimps,axiom, % 183.16/183.16 ! [V_a_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2) % 183.16/183.16 <=> ( V_a_2 = c_List_Olist_ONil(T_a) % 183.16/183.16 | ? [B_xs,B_x] : % 183.16/183.16 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs) % 183.16/183.16 & ! [B_xa] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__upds__def,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__removeAll__inj__on,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__of__append,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll__append,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dom__map__add,axiom, % 183.16/183.16 ! [V_n_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_n_2)),c_Map_Odom(T_a,T_b,V_m_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__dom__app__simps_I1_J,axiom, % 183.16/183.16 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2))) % 183.16/183.16 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__dom__app__simps_I3_J,axiom, % 183.16/183.16 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] : % 183.16/183.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2))) % 183.16/183.16 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__dom__app__simps_I2_J,axiom, % 183.16/183.16 ! [V_l2_2,V_l1_2,T_b,V_m_2,T_a] : % 183.16/183.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l1_2))) % 183.16/183.16 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__assoc,axiom, % 183.16/183.16 ! [V_m3_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__add(T_a,T_b,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_m3_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__upds,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__upds(T_a,T_b,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__empty,axiom, % 183.16/183.16 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = V_m_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_empty__map__add,axiom, % 183.16/183.16 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)),V_m_2) = V_m_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__None,axiom, % 183.16/183.16 ! [V_k_2,V_n_2,V_m_2,T_a,T_b] : % 183.16/183.16 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__Some__iff,axiom, % 183.16/183.16 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] : % 183.16/183.16 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 183.16/183.16 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 183.16/183.16 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__SomeD,axiom, % 183.16/183.16 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] : % 183.16/183.16 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 183.16/183.16 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 183.16/183.16 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__find__right,axiom, % 183.16/183.16 ! [V_m_2,T_b,V_xx_2,T_a,V_k_2,V_n_2] : % 183.16/183.16 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) % 183.16/183.16 => hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__upd,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll__id,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll__filter__not__eq,axiom, % 183.16/183.16 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll__filter__not,axiom, % 183.16/183.16 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xs,T_a,V_y,V_x] : % 183.16/183.16 ( ( V_x = V_y % 183.16/183.16 => 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) ) % 183.16/183.16 & ( V_x != V_y % 183.16/183.16 => 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)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_removeAll_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__removeAll,axiom, % 183.16/183.16 ! [V_x,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_inj__on__map__add__dom,axiom, % 183.16/183.16 ! [V_m_H_2,V_m_2,T_b,T_a] : % 183.16/183.16 ( c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),c_Map_Omap__add(T_a,T_b,V_m_2,V_m_H_2),c_Map_Odom(T_a,T_b,V_m_H_2)) % 183.16/183.16 <=> c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),V_m_H_2,c_Map_Odom(T_a,T_b,V_m_H_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__def,axiom, % 183.16/183.16 ! [V_x_2,V_m2_2,V_m1_2,T_a,T_b] : hAPP(c_Map_Omap__add(T_b,T_a,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_a)),hAPP(V_m2_2,V_x_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__remove1__removeAll,axiom, % 183.16/183.16 ! [V_x,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__comm,axiom, % 183.16/183.16 ! [V_m2_2,V_m1_2,T_b,T_a] : % 183.16/183.16 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m1_2)),c_Map_Odom(T_a,T_b,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 183.16/183.16 => c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2) = c_Map_Omap__add(T_a,T_b,V_m2_2,V_m1_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__map__of__foldr,axiom, % 183.16/183.16 ! [V_ps_2,V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)) = c_List_Ofoldr(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)))))),c_Option_Ooption_OSome(T_b))),V_ps_2,V_m_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__removeAll__inj,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 183.16/183.16 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__add__upd__left,axiom, % 183.16/183.16 ! [V_u1_2,V_e1_2,V_e2_2,T_b,V_m_2,T_a] : % 183.16/183.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_e2_2))) % 183.16/183.16 => c_Map_Omap__add(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_finite__range__map__of__map__add,axiom, % 183.16/183.16 ! [V_l_2,V_f_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 183.16/183.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),c_Map_Omap__add(T_b,T_a,V_f_2,hAPP(c_Map_Omap__of(T_b,T_a),V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__removeAll,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__def,axiom, % 183.16/183.16 ! [V_k_2,V_g_2,V_f_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_b,c_Option_Ooption_ONone(T_a),V_f_2),hAPP(V_g_2,V_k_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_List_Oinsert__def,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__insert,axiom, % 183.16/183.16 ! [V_x,V_xs,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__empty_I1_J,axiom, % 183.16/183.16 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__empty_I2_J,axiom, % 183.16/183.16 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_insert__remdups,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__Some__iff,axiom, % 183.16/183.16 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] : % 183.16/183.16 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) % 183.16/183.16 <=> ? [B_k_H] : % 183.16/183.16 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H) % 183.16/183.16 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__simps_I2_J,axiom, % 183.16/183.16 ! [V_m1_2,T_b,T_c,V_k_H_2,T_a,V_k_2,V_m2_2] : % 183.16/183.16 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_k_H_2) % 183.16/183.16 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__simps_I1_J,axiom, % 183.16/183.16 ! [V_m1_2,T_b,T_c,T_a,V_k_2,V_m2_2] : % 183.16/183.16 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__set__insert,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_List_Oset__insert,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_insert__Nil,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__comp__None__iff,axiom, % 183.16/183.16 ! [V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] : % 183.16/183.16 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 183.16/183.16 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 183.16/183.16 | ? [B_k_H] : % 183.16/183.16 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H) % 183.16/183.16 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_a) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_not__in__set__insert,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_maps__def,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__map__maps,axiom, % 183.16/183.16 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_maps__simps_I2_J,axiom, % 183.16/183.16 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_maps__simps_I1_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_distinct__concat,axiom, % 183.16/183.16 ! [V_xs_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2)) % 183.16/183.16 => ( ! [B_ys] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) ) % 183.16/183.16 => ( ! [B_ys] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ! [B_zs] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ( B_ys != B_zs % 183.16/183.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 183.16/183.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_ran__restrictD,axiom, % 183.16/183.16 ! [V_A_2,V_m_2,T_b,V_y_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Map_Oran(T_b,T_a,c_Map_Orestrict__map(T_b,T_a,V_m_2,V_A_2)))) % 183.16/183.16 => ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 183.16/183.16 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measures__lesseq,axiom, % 183.16/183.16 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] : % 183.16/183.16 ( 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))) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__measures_I2_J,axiom, % 183.16/183.16 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 183.16/183.16 <=> ( 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))) % 183.16/183.16 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 183.16/183.16 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_wf__measures,axiom, % 183.16/183.16 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__measures_I1_J,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measures__def,axiom, % 183.16/183.16 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measures__less,axiom, % 183.16/183.16 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] : % 183.16/183.16 ( 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))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_foldl__apply,axiom, % 183.16/183.16 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) ) % 183.16/183.16 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_zip__obtain__same__length,axiom, % 183.16/183.16 ! [V_P_2,V_ys_2,T_b,V_xs_2,T_a] : % 183.16/183.16 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) ) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__of__eqI,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,T_b,T_a] : % 183.16/183.16 ( hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)) = hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2)) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))) % 183.16/183.16 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2),B_x) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),B_x) ) % 183.16/183.16 => hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__not__random__dseq__def,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_dropWhile__append2,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_P_2,V_ys_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all2__all__nthI,axiom, % 183.16/183.16 ! [V_P_2,V_b_2,T_b,V_a_2,T_a] : % 183.16/183.16 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2) % 183.16/183.16 => ( ! [B_n] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) ) % 183.16/183.16 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_finite__map__freshness,axiom, % 183.16/183.16 ! [V_f_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,V_f_2))) % 183.16/183.16 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 183.16/183.16 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_b) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_finite__sorted__distinct__unique,axiom, % 183.16/183.16 ! [V_A_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 183.16/183.16 => ? [B_x] : % 183.16/183.16 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2 % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,B_x) % 183.16/183.16 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x)) % 183.16/183.16 & ! [B_y] : % 183.16/183.16 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2 % 183.16/183.16 & c_List_Olinorder__class_Osorted(T_a,B_y) % 183.16/183.16 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) ) % 183.16/183.16 => B_y = B_x ) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_takeWhile__append2,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_P_2,V_ys_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_insort__is__Cons,axiom, % 183.16/183.16 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] : % 183.16/183.16 ( class_Orderings_Olinorder(T_b) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 183.16/183.16 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Cons__eq__filter__iff,axiom, % 183.16/183.16 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) % 183.16/183.16 <=> ? [B_us,B_vs] : % 183.16/183.16 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs)) % 183.16/183.16 & ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 & hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__eq__Cons__iff,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_a] : % 183.16/183.16 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) % 183.16/183.16 <=> ? [B_us,B_vs] : % 183.16/183.16 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs)) % 183.16/183.16 & ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us))) % 183.16/183.16 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 & hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ball__nth,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a,V_n_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_sorted_OCons,axiom, % 183.16/183.16 ! [V_x_2,V_xs_2,T_a] : % 183.16/183.16 ( class_Orderings_Olinorder(T_a) % 183.16/183.16 => ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) % 183.16/183.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 183.16/183.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__length,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ? [B_n] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__set__conv__decomp__first,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 <=> ? [B_ys] : % 183.16/183.16 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) % 183.16/183.16 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__simps_I2_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : ~ c_List_Olist__ex(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__append,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 183.16/183.16 <=> ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 183.16/183.16 | c_List_Olist__ex(T_a,V_P_2,V_ys_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__iff,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__rev,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2)) % 183.16/183.16 <=> c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex__simps_I1_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 | c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__set__conv__decomp,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__set__conv__decomp__last,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 <=> ? [B_ys,B_zs] : % 183.16/183.16 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) % 183.16/183.16 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_option_Orecs_I2_J,axiom, % 183.16/183.16 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_option_Orecs_I1_J,axiom, % 183.16/183.16 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_b)) = V_f1_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__length,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ! [B_n] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measure__function__int,axiom, % 183.16/183.16 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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__simps_I1_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 & c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__rev,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2)) % 183.16/183.16 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measure__snd,axiom, % 183.16/183.16 ! [T_b,V_f_2,T_a] : % 183.16/183.16 ( c_FunDef_Ois__measure(T_a,V_f_2) % 183.16/183.16 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measure__fst,axiom, % 183.16/183.16 ! [T_b,V_f_2,T_a] : % 183.16/183.16 ( c_FunDef_Ois__measure(T_a,V_f_2) % 183.16/183.16 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__iff,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_is__measure_Ointros,axiom, % 183.16/183.16 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_is__measure_Oequations,axiom, % 183.16/183.16 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_is__measure_Osimps,axiom, % 183.16/183.16 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_measure__size,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_Nat_Osize(T_a) % 183.16/183.16 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__append,axiom, % 183.16/183.16 ! [V_ys_2,V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 183.16/183.16 <=> ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 183.16/183.16 & c_List_Olist__all(T_a,V_P_2,V_ys_2) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Ball__set__list__all,axiom, % 183.16/183.16 ! [V_P_2,V_xs_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__simps_I2_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : c_List_Olist__all(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__all__iff__raw,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex1__simps_I2_J,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex1(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 183.16/183.16 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => c_List_Olist__ex1(T_a,V_P_2,V_xs_2) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_equal__fun__def,axiom, % 183.16/183.16 ! [V_g_2,V_f_2,T_a,T_b] : % 183.16/183.16 ( ( class_HOL_Oequal(T_b) % 183.16/183.16 & class_Enum_Oenum(T_a) ) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 183.16/183.16 <=> ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) % 183.16/183.16 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex1__simps_I1_J,axiom, % 183.16/183.16 ! [V_P_2,T_a] : ~ c_List_Olist__ex1(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__equal,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_HOL_Oequal(T_a) % 183.16/183.16 => c_fequal = c_HOL_Oequal__class_Oequal(T_a) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_equal__eq,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,T_a] : % 183.16/183.16 ( class_HOL_Oequal(T_a) % 183.16/183.16 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x_2),V_y_2)) % 183.16/183.16 <=> V_x_2 = V_y_2 ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_equal__refl,axiom, % 183.16/183.16 ! [V_x,T_a] : % 183.16/183.16 ( class_HOL_Oequal(T_a) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_equal,axiom, % 183.16/183.16 ! [T_a] : % 183.16/183.16 ( class_HOL_Oequal(T_a) % 183.16/183.16 => c_HOL_Oequal__class_Oequal(T_a) = c_fequal ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_exists1__code,axiom, % 183.16/183.16 ! [V_P_2,T_a] : % 183.16/183.16 ( class_Enum_Oenum(T_a) % 183.16/183.16 => ( ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(V_P_2,B_x)) % 183.16/183.16 & ! [B_y] : % 183.16/183.16 ( hBOOL(hAPP(V_P_2,B_y)) % 183.16/183.16 => B_y = B_x ) ) % 183.16/183.16 <=> c_List_Olist__ex1(T_a,V_P_2,c_Enum_Oenum__class_Oenum(T_a)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_bool_Osize_I3_J,axiom, % 183.16/183.16 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(fact_bool_Osize_I4_J,axiom, % 183.16/183.16 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(fact_list__ex1__iff,axiom, % 183.16/183.16 ! [V_xs_2,V_P_2,T_a] : % 183.16/183.16 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2) % 183.16/183.16 <=> ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,B_x)) % 183.16/183.16 & ! [B_y] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,B_y)) ) % 183.16/183.16 => B_y = B_x ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_size__code,axiom, % 183.16/183.16 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_transfer__morphism__int__nat,axiom, % 183.16/183.16 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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I2_J,axiom, % 183.16/183.16 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I5_J,axiom, % 183.16/183.16 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I12_J,axiom, % 183.16/183.16 ! [V_k1_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I8_J,axiom, % 183.16/183.16 ! [V_k2_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2))) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I11_J,axiom, % 183.16/183.16 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I7_J,axiom, % 183.16/183.16 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I10_J,axiom, % 183.16/183.16 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I4_J,axiom, % 183.16/183.16 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I9_J,axiom, % 183.16/183.16 ! [V_k1_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I3_J,axiom, % 183.16/183.16 ! [V_k2_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2))) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I15_J,axiom, % 183.16/183.16 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I14_J,axiom, % 183.16/183.16 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_equal__int__def,axiom, % 183.16/183.16 ! [V_l_2,V_k_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) % 183.16/183.16 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I6_J,axiom, % 183.16/183.16 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__number__of__int__code,axiom, % 183.16/183.16 ! [V_l_2,V_k_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2))) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I16_J,axiom, % 183.16/183.16 ! [V_k2_2,V_k1_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I1_J,axiom, % 183.16/183.16 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__code_I13_J,axiom, % 183.16/183.16 ! [V_k2_2,V_k1_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_lazy__sequence__size__code,axiom, % 183.16/183.16 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_seq__case,axiom, % 183.16/183.16 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2)),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__int__refl,axiom, % 183.16/183.16 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_yieldn__def,axiom, % 183.16/183.16 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 183.16/183.16 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 183.16/183.16 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_lazy__sequence_Oinject,axiom, % 183.16/183.16 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] : % 183.16/183.16 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2) % 183.16/183.16 <=> ( V_a_2 = V_a_H_2 % 183.16/183.16 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact__01,axiom, % 183.16/183.16 ! [V_xq,V_x,T_a] : hAPP(c_Lazy__Sequence_Oyield(T_a),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq)) = hAPP(c_Option_Ooption_OSome(tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_x),V_xq)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 183.16/183.16 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] : % 183.16/183.16 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.16 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) ) % 183.16/183.16 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.16 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 183.16/183.16 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] : % 183.16/183.16 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.16 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) ) % 183.16/183.16 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 183.16/183.16 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 183.16/183.16 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Opos__empty__def,axiom, % 183.16/183.16 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__empty__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ). % 183.16/183.16 % 183.16/183.16 fof(fact_neg__bind__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Opos__bind__def,axiom, % 183.16/183.16 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_neg__map__def,axiom, % 183.16/183.16 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_neg__single__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__bind__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)))),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Oneg__single__def,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__map__def,axiom, % 183.16/183.16 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__single__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__splice,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_splice_Osimps_I3_J,axiom, % 183.16/183.16 ! [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))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_splice_Osimps_I1_J,axiom, % 183.16/183.16 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 183.16/183.16 % 183.16/183.16 fof(fact_splice__Nil2,axiom, % 183.16/183.16 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 183.16/183.16 % 183.16/183.16 fof(fact_splice_Osimps_I2_J,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Opos__single__def,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_acyclicP__converse,axiom, % 183.16/183.16 ! [V_r_2,T_a] : % 183.16/183.16 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Predicate_Oconversep(T_a,T_a,V_r_2)))) % 183.16/183.16 <=> c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_converse__meet,axiom, % 183.16/183.16 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversepD,axiom, % 183.16/183.16 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2)) % 183.16/183.16 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep_Ointros,axiom, % 183.16/183.16 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_b_2),V_a_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep_Oequations,axiom, % 183.16/183.16 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep__iff,axiom, % 183.16/183.16 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep__conversep,axiom, % 183.16/183.16 ! [V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Oconversep(T_a,T_b,V_r_2)) = V_r_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep__eq,axiom, % 183.16/183.16 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep__noteq,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 183.16/183.16 <=> V_x_2 != V_y_2 ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_converse__pred__comp,axiom, % 183.16/183.16 ! [V_s_2,V_r_2,T_c,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Opred__comp(T_b,T_c,T_a,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_a,T_c,T_b,c_Predicate_Oconversep(T_c,T_a,V_s_2),c_Predicate_Oconversep(T_b,T_c,V_r_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_converse__join,axiom, % 183.16/183.16 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_conversep__converse__eq,axiom, % 183.16/183.16 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2),V_y_2)) % 183.16/183.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact__02,axiom, % 183.16/183.16 ! [V_s2_2,V_s1_2,T_b,T_a] : c_Lazy__Sequence_Oproduct(T_a,T_b,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_a,tc_prod(T_a,T_b),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_a),c_Lazy__Sequence_Obind(T_b,tc_prod(T_a,T_b),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_b),c_Lazy__Sequence_Osingle(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_tl__replicate,axiom, % 183.16/183.16 ! [V_x,T_a,V_n] : % 183.16/183.16 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => 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) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_zip__replicate,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__app__Cons__same,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__Suc,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_rev__replicate,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_last__replicate,axiom, % 183.16/183.16 ! [V_x,T_a,V_n] : % 183.16/183.16 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_drop__replicate,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_hd__replicate,axiom, % 183.16/183.16 ! [V_x,T_a,V_n] : % 183.16/183.16 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_take__replicate,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Bex__set__replicate,axiom, % 183.16/183.16 ! [V_P_2,V_a_2,V_n_2,T_a] : % 183.16/183.16 ( ? [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2)))) % 183.16/183.16 & hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 183.16/183.16 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_Ball__set__replicate,axiom, % 183.16/183.16 ! [V_P_2,V_a_2,V_n_2,T_a] : % 183.16/183.16 ( ! [B_x] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2)))) % 183.16/183.16 => hBOOL(hAPP(V_P_2,B_x)) ) % 183.16/183.16 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 183.16/183.16 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__eq__replicate,axiom, % 183.16/183.16 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_a] : % 183.16/183.16 ( c_List_Oreplicate(T_a,V_m_2,V_x_2) = c_List_Oreplicate(T_a,V_n_2,V_y_2) % 183.16/183.16 <=> ( V_m_2 = V_n_2 % 183.16/183.16 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => V_x_2 = V_y_2 ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_nth__replicate,axiom, % 183.16/183.16 ! [V_x,T_a,V_n,V_i] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 183.16/183.16 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__add,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_append__replicate__commute,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_in__set__replicate,axiom, % 183.16/183.16 ! [V_y_2,V_n_2,V_x_2,T_a] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_y_2)))) % 183.16/183.16 <=> ( V_x_2 = V_y_2 % 183.16/183.16 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_filter__replicate,axiom, % 183.16/183.16 ! [V_n_2,T_a,V_x_2,V_P_2] : % 183.16/183.16 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,V_x_2) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 183.16/183.16 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Olist_ONil(T_a) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_concat__replicate__trivial,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__0,axiom, % 183.16/183.16 ! [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) ). % 183.16/183.16 % 183.16/183.16 fof(fact_empty__replicate,axiom, % 183.16/183.16 ! [V_x_2,V_n_2,T_a] : % 183.16/183.16 ( c_List_Olist_ONil(T_a) = c_List_Oreplicate(T_a,V_n_2,V_x_2) % 183.16/183.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__empty,axiom, % 183.16/183.16 ! [V_x_2,V_n_2,T_a] : % 183.16/183.16 ( c_List_Oreplicate(T_a,V_n_2,V_x_2) = c_List_Olist_ONil(T_a) % 183.16/183.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__replicate,axiom, % 183.16/183.16 ! [V_x_2,V_n_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,hAPP(V_f_2,V_x_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__append__same,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_replicate__length__filter,axiom, % 183.16/183.16 ! [V_xs_2,V_x_2,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_length__replicate,axiom, % 183.16/183.16 ! [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 ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__replicate__const,axiom, % 183.16/183.16 ! [V_lst_2,V_k_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_k_2)),V_lst_2) = c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_lst_2),V_k_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_map__replicate__trivial,axiom, % 183.16/183.16 ! [V_i_2,V_x_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_COMBK(T_a,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_a,V_i_2,V_x_2) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__replicate__conv__if,axiom, % 183.16/183.16 ! [V_x_2,T_a,V_n_2] : % 183.16/183.16 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) % 183.16/183.16 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__replicate,axiom, % 183.16/183.16 ! [V_x_2,T_a,V_n_2] : % 183.16/183.16 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 183.16/183.16 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_set__replicate__Suc,axiom, % 183.16/183.16 ! [V_x_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__lazy__list_Osimps,axiom, % 183.16/183.16 ! [V_d_2,T_a] : % 183.16/183.16 ( class_Lazy__Sequence_Osmall__lazy(T_a) % 183.16/183.16 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_a),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),c_Lazy__Sequence_Oproduct(T_a,tc_List_Olist(T_a),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)))),c_List_Olist_OCons(T_a))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_a)))) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_eq__comp__r,axiom, % 183.16/183.16 ! [V_R_2,T_a] : c_Predicate_Opred__comp(T_a,T_a,T_a,c_fequal,c_Predicate_Opred__comp(T_a,T_a,T_a,V_R_2,c_fequal)) = V_R_2 ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__lazy__prod__def,axiom, % 183.16/183.16 ! [V_d,T_b,T_a] : % 183.16/183.16 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 183.16/183.16 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 183.16/183.16 => 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)) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact__03,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_New__DSequence_Opos__union__def,axiom, % 183.16/183.16 ! [V_i_2,V_yq_2,V_xq_2,T_a] : hAPP(c_New__DSequence_Opos__union(T_a,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_a,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_field__le__epsilon,axiom, % 183.16/183.16 ! [V_y,V_x,T_a] : % 183.16/183.16 ( class_Fields_Olinordered__field(T_a) % 183.16/183.16 => ( ! [B_e] : % 183.16/183.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 183.16/183.16 => 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))) ) % 183.16/183.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_pos__union__def,axiom, % 183.16/183.16 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_a] : c_New__Random__Sequence_Opos__union(T_a,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_a,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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__lazy_H_Osimps,axiom, % 183.16/183.16 ! [V_i,V_d] : % 183.16/183.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 183.16/183.16 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 183.16/183.16 => 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)))) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__lazy__int__def,axiom, % 183.16/183.16 ! [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)) ). % 183.16/183.16 % 183.16/183.16 fof(fact_small__lazy_H_Opsimps,axiom, % 183.16/183.16 ! [V_i_2,V_d_2] : % 183.16/183.16 ( 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))) % 183.16/183.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 183.16/183.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 183.16/183.16 => 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)))) ) ) ) ). % 183.16/183.16 % 183.16/183.16 fof(fact_hb__flat_Osimps_I2_J,axiom, % 183.16/183.16 ! [V_xqq_2,V_xq_2,T_a] : c_Lazy__Sequence_Ohb__flat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_xq_2,V_xqq_2)) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(T_a),hAPP(c_Option_Ooption_Ooption__case(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)),tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)),c_Lazy__Sequence_Ohit__bound(T_a),c_COMBI(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),V_xq_2),c_Lazy__Sequence_Ohb__flat(T_a,V_xqq_2)) ). % 183.16/183.16 % 183.16/183.16 %----Arity declarations (235) % 183.16/183.16 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 183.16/183.16 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Obounded__lattice(T_1) % 183.16/183.16 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 183.16/183.16 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Obounded__lattice(T_1) % 183.16/183.16 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Obounded__lattice(T_1) % 183.16/183.16 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Olattice(T_1) % 183.16/183.16 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Olattice(T_1) % 183.16/183.16 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Odistrib__lattice(T_1) % 183.16/183.16 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Oboolean__algebra(T_1) % 183.16/183.16 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Orderings_Opreorder,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Orderings_Opreorder(T_1) % 183.16/183.16 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Finite__Set_Ofinite,axiom, % 183.16/183.16 ! [T_1,T_2] : % 183.16/183.16 ( ( class_Finite__Set_Ofinite(T_2) % 183.16/183.16 & class_Finite__Set_Ofinite(T_1) ) % 183.16/183.16 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Lattices_Olattice,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Lattices_Olattice(T_1) % 183.16/183.16 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Orderings_Oorder,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Orderings_Oorder(T_1) % 183.16/183.16 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Orderings_Otop,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Orderings_Otop(T_1) % 183.16/183.16 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Orderings_Oord,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Orderings_Oord(T_1) % 183.16/183.16 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Orderings_Obot,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Orderings_Obot(T_1) % 183.16/183.16 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Groups_Ouminus,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Groups_Ouminus(T_1) % 183.16/183.16 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Groups_Ominus,axiom, % 183.16/183.16 ! [T_2,T_1] : % 183.16/183.16 ( class_Groups_Ominus(T_1) % 183.16/183.16 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__HOL_Oequal,axiom, % 183.16/183.16 ! [T_1,T_2] : % 183.16/183.16 ( ( class_Enum_Oenum(T_2) % 183.16/183.16 & class_HOL_Oequal(T_1) ) % 183.16/183.16 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_fun__Enum_Oenum,axiom, % 183.16/183.16 ! [T_1,T_2] : % 183.16/183.16 ( ( class_Enum_Oenum(T_2) % 183.16/183.16 & class_Enum_Oenum(T_1) ) % 183.16/183.16 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Com__Ocom__HOL_Oequal,axiom, % 183.16/183.16 class_HOL_Oequal(tc_Com_Ocom) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Com__Ocom__Nat_Osize,axiom, % 183.16/183.16 class_Nat_Osize(tc_Com_Ocom) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 183.16/183.16 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 183.16/183.16 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 183.16/183.16 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 183.16/183.16 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 183.16/183.16 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 183.16/183.16 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 183.16/183.16 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 183.16/183.16 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 183.16/183.16 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 183.16/183.16 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 183.16/183.16 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 183.16/183.16 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 183.16/183.16 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 183.16/183.16 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 183.16/183.16 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 183.16/183.16 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 183.16/183.16 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 183.16/183.16 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 183.16/183.16 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 183.16/183.16 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 183.16/183.16 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 183.16/183.16 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 183.16/183.16 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 183.16/183.16 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 183.16/183.16 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 183.16/183.16 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 183.16/183.16 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 183.16/183.16 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 183.16/183.16 class_Divides_Osemiring__div(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 183.16/183.16 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 183.16/183.16 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 183.16/183.16 class_Groups_Oab__group__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 183.16/183.16 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 183.16/183.16 class_Rings_Oordered__ring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 183.16/183.16 class_Orderings_Opreorder(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 183.16/183.16 class_Orderings_Olinorder(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 183.16/183.16 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 183.16/183.16 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 183.16/183.16 class_Groups_Omonoid__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Smallcheck_Osmall,axiom, % 183.16/183.16 class_Smallcheck_Osmall(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 183.16/183.16 class_Rings_Osemiring__1(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 183.16/183.16 class_Rings_Osemiring__0(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 183.16/183.16 class_Lattices_Olattice(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 183.16/183.16 class_Groups_Ogroup__add(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 183.16/183.16 class_Divides_Oring__div(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 183.16/183.16 class_Rings_Omult__zero(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 183.16/183.16 class_Orderings_Oorder(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 183.16/183.16 class_Int_Oring__char__0(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 183.16/183.16 class_Int_Onumber__ring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 183.16/183.16 class_Rings_Osemiring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Orderings_Oord,axiom, % 183.16/183.16 class_Orderings_Oord(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 183.16/183.16 class_Groups_Ouminus(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 183.16/183.16 class_Groups_Osgn__if(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 183.16/183.16 class_Groups_Oabs__if(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 183.16/183.16 class_Rings_Oring__1(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ominus,axiom, % 183.16/183.16 class_Groups_Ominus(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Power_Opower,axiom, % 183.16/183.16 class_Power_Opower(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Ozero,axiom, % 183.16/183.16 class_Groups_Ozero(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oring,axiom, % 183.16/183.16 class_Rings_Oring(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Rings_Oidom,axiom, % 183.16/183.16 class_Rings_Oidom(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Int_Onumber,axiom, % 183.16/183.16 class_Int_Onumber(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__Groups_Oone,axiom, % 183.16/183.16 class_Groups_Oone(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Int__Oint__HOL_Oequal,axiom, % 183.16/183.16 class_HOL_Oequal(tc_Int_Oint) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 183.16/183.16 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 183.16/183.16 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 183.16/183.16 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 183.16/183.16 % 183.16/183.16 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 183.16/183.16 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 183.16/183.17 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 183.16/183.17 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 183.16/183.17 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 183.16/183.17 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 183.16/183.17 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 183.16/183.17 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 183.16/183.17 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 183.16/183.17 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 183.16/183.17 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 183.16/183.17 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 183.16/183.17 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 183.16/183.17 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 183.16/183.17 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 183.16/183.17 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 183.16/183.17 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 183.16/183.17 class_Orderings_Owellorder(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 183.16/183.17 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 183.16/183.17 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 183.16/183.17 class_Orderings_Opreorder(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 183.16/183.17 class_Orderings_Olinorder(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 183.16/183.17 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 183.16/183.17 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 183.16/183.17 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 183.16/183.17 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 183.16/183.17 class_Lattices_Olattice(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 183.16/183.17 class_Rings_Omult__zero(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 183.16/183.17 class_Orderings_Oorder(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 183.16/183.17 class_Rings_Osemiring(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 183.16/183.17 class_Orderings_Oord(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 183.16/183.17 class_Orderings_Obot(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 183.16/183.17 class_Groups_Ominus(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Power_Opower,axiom, % 183.16/183.17 class_Power_Opower(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 183.16/183.17 class_Groups_Ozero(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Int_Onumber,axiom, % 183.16/183.17 class_Int_Onumber(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Groups_Oone,axiom, % 183.16/183.17 class_Groups_Oone(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Nat__Onat__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_Nat_Onat) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 183.16/183.17 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 183.16/183.17 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 183.16/183.17 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 183.16/183.17 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 183.16/183.17 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 183.16/183.17 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 183.16/183.17 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 183.16/183.17 class_Orderings_Opreorder(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 183.16/183.17 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 183.16/183.17 class_Lattices_Olattice(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 183.16/183.17 class_Orderings_Oorder(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 183.16/183.17 class_Orderings_Otop(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 183.16/183.17 class_Orderings_Oord(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 183.16/183.17 class_Orderings_Obot(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 183.16/183.17 class_Groups_Ouminus(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 183.16/183.17 class_Groups_Ominus(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 183.16/183.17 class_Enum_Oenum(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_HOL__Obool__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_HOL_Obool) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Com__Ostate__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_Com_Ostate) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Com__Ostate__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_Com_Ostate) ). % 183.16/183.17 % 183.16/183.17 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 183.16/183.17 ! [T_1] : % 183.16/183.17 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 183.16/183.17 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_List__Olist__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_List__Olist__Nat_Osize,axiom, % 183.16/183.17 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_sum__Finite__Set_Ofinite,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Finite__Set_Ofinite(T_2) % 183.16/183.17 & class_Finite__Set_Ofinite(T_1) ) % 183.16/183.17 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_sum__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_sum__Enum_Oenum,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Enum_Oenum(T_2) % 183.16/183.17 & class_Enum_Oenum(T_1) ) % 183.16/183.17 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_sum__Nat_Osize,axiom, % 183.16/183.17 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 183.16/183.17 ! [T_1] : % 183.16/183.17 ( class_Finite__Set_Ofinite(T_1) % 183.16/183.17 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Option__Ooption__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 183.16/183.17 ! [T_1] : % 183.16/183.17 ( class_Enum_Oenum(T_1) % 183.16/183.17 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Option__Ooption__Nat_Osize,axiom, % 183.16/183.17 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 183.16/183.17 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 183.16/183.17 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__Finite__Set_Ofinite,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Finite__Set_Ofinite(T_2) % 183.16/183.17 & class_Finite__Set_Ofinite(T_1) ) % 183.16/183.17 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__Smallcheck_Osmall,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Smallcheck_Osmall(T_2) % 183.16/183.17 & class_Smallcheck_Osmall(T_1) ) % 183.16/183.17 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__Enum_Oenum,axiom, % 183.16/183.17 ! [T_1,T_2] : % 183.16/183.17 ( ( class_Enum_Oenum(T_2) % 183.16/183.17 & class_Enum_Oenum(T_1) ) % 183.16/183.17 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 183.16/183.17 % 183.16/183.17 fof(arity_prod__Nat_Osize,axiom, % 183.16/183.17 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 183.16/183.17 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 183.16/183.17 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom, % 183.16/183.17 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 183.16/183.17 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_Product__Type_Ounit) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 183.16/183.17 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 183.16/183.17 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 183.16/183.17 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 183.16/183.17 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 183.16/183.17 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 183.16/183.17 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 183.16/183.17 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 183.16/183.17 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 183.16/183.17 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 183.16/183.17 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 183.16/183.17 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 183.16/183.17 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 183.16/183.17 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 183.16/183.17 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 183.16/183.17 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 183.16/183.17 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 183.16/183.17 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 183.16/183.17 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 183.16/183.17 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 183.16/183.17 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 183.16/183.17 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 183.16/183.17 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 183.16/183.17 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 183.16/183.17 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 183.16/183.17 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 183.16/183.17 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 183.16/183.17 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 183.16/183.17 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 183.16/183.17 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 183.16/183.17 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 183.16/183.17 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 183.16/183.17 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 183.16/183.17 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 183.16/183.17 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 183.16/183.17 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom, % 183.16/183.17 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 183.16/183.17 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom, % 183.16/183.17 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 183.16/183.17 % 183.16/183.17 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 183.16/183.17 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 183.16/183.17 % 183.16/183.17 %----Helper facts (20) % 183.16/183.17 fof(help_c__COMBI__1,axiom, % 183.16/183.17 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 183.16/183.17 % 183.16/183.17 fof(help_c__COMBK__1,axiom, % 183.16/183.17 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 183.16/183.17 % 183.16/183.17 fof(help_c__COMBB__1,axiom, % 183.16/183.17 ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__COMBC__1,axiom, % 183.16/183.17 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__COMBS__1,axiom, % 183.16/183.17 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fequal__1,axiom, % 183.16/183.17 ! [V_y_2,V_x_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 183.16/183.17 | V_x_2 = V_y_2 ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fequal__2,axiom, % 183.16/183.17 ! [V_y_2,V_x_2] : % 183.16/183.17 ( V_x_2 != V_y_2 % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fFalse__1,axiom, % 183.16/183.17 ~ hBOOL(c_fFalse) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fTrue__1,axiom, % 183.16/183.17 hBOOL(c_fTrue) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fNot__1,axiom, % 183.16/183.17 ! [V_P_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 183.16/183.17 | ~ hBOOL(V_P_2) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fNot__2,axiom, % 183.16/183.17 ! [V_P_2] : % 183.16/183.17 ( ~ ~ hBOOL(V_P_2) % 183.16/183.17 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fconj__1,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(V_P_2) % 183.16/183.17 | ~ hBOOL(V_Q_2) % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fconj__2,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 183.16/183.17 | hBOOL(V_P_2) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fconj__3,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 183.16/183.17 | hBOOL(V_Q_2) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fdisj__1,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(V_P_2) % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fdisj__2,axiom, % 183.16/183.17 ! [V_P_2,V_Q_2] : % 183.16/183.17 ( ~ hBOOL(V_Q_2) % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fdisj__3,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 183.16/183.17 | hBOOL(V_P_2) % 183.16/183.17 | hBOOL(V_Q_2) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fimplies__1,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( hBOOL(V_P_2) % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fimplies__2,axiom, % 183.16/183.17 ! [V_P_2,V_Q_2] : % 183.16/183.17 ( ~ hBOOL(V_Q_2) % 183.16/183.17 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 183.16/183.17 % 183.16/183.17 fof(help_c__fimplies__3,axiom, % 183.16/183.17 ! [V_Q_2,V_P_2] : % 183.16/183.17 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 183.16/183.17 | ~ hBOOL(V_P_2) % 183.16/183.17 | hBOOL(V_Q_2) ) ). % 183.16/183.17 % 183.16/183.17 %----Conjectures (3) % 183.16/183.17 fof(conj_0,hypothesis, % 183.16/183.17 c_Hoare__Mirabelle_Ostate__not__singleton ). % 183.16/183.17 % 183.16/183.17 fof(conj_1,hypothesis, % 183.16/183.17 ! [B_x] : % 183.16/183.17 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) % 183.16/183.17 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,B_x)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,B_x)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ). % 183.16/183.17 % 183.16/183.17 fof(conj_2,conjecture, % 183.16/183.17 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_Natural_Oevalc(c_Com_Ocom_OSKIP))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ). % 183.16/183.17 % 183.16/183.17 %------------------------------------------------------------------------------ % 183.16/183.17 %------------------------------------------- % 183.16/183.17 % Proof found % 183.16/183.17 % SZS status Theorem for theBenchmark % 183.16/183.17 % SZS output start Proof % 183.16/183.17 %ClaNum:10208(EqnAxiom:2875) % 183.16/183.17 %VarNum:70343(SingletonVarNum:20499) % 183.16/183.17 %MaxLitNum:8 % 183.16/183.17 %MaxfuncDepth:15 % 183.16/183.17 %SharedTerms:1076 % 183.16/183.17 %goalClause: 4571 % 183.16/183.17 %singleGoalClaCount:1 % 183.16/183.17 [2876]P1(a5000) % 183.16/183.17 [2880]P23(a195) % 183.16/183.17 [2881]P24(a870) % 183.16/183.17 [2882]P24(a875) % 183.16/183.17 [2883]P25(a870) % 183.16/183.17 [2884]P25(a878) % 183.16/183.17 [2885]P62(a870) % 183.16/183.17 [2886]P62(a875) % 183.16/183.17 [2887]P62(a1) % 183.16/183.17 [2888]P63(a870) % 183.16/183.17 [2889]P98(a870) % 183.16/183.17 [2890]P98(a875) % 183.16/183.17 [2891]P98(a1) % 183.16/183.17 [2892]P99(a870) % 183.16/183.17 [2893]P99(a875) % 183.16/183.17 [2894]P99(a1) % 183.16/183.17 [2895]P64(a870) % 183.16/183.17 [2896]P64(a875) % 183.16/183.17 [2897]P64(a1) % 183.16/183.17 [2898]P64(a102) % 183.16/183.17 [2899]P96(a870) % 183.16/183.17 [2900]P96(a875) % 183.16/183.17 [2901]P96(a1) % 183.16/183.17 [2902]P103(a1) % 183.16/183.17 [2903]P65(a1) % 183.16/183.17 [2904]P26(a870) % 183.16/183.17 [2905]P66(a875) % 183.16/183.17 [2906]P66(a1) % 183.16/183.17 [2907]P66(a102) % 183.16/183.17 [2908]P104(a870) % 183.16/183.17 [2909]P97(a870) % 183.16/183.17 [2910]P72(a1) % 183.16/183.17 [2911]P67(a875) % 183.16/183.17 [2912]P67(a1) % 183.16/183.17 [2913]P67(a102) % 183.16/183.17 [2914]P134(a875) % 183.16/183.17 [2915]P134(a1) % 183.16/183.17 [2916]P134(a102) % 183.16/183.17 [2917]P68(a875) % 183.16/183.17 [2918]P68(a1) % 183.16/183.17 [2919]P68(a102) % 183.16/183.17 [2920]P69(a875) % 183.16/183.17 [2921]P69(a1) % 183.16/183.17 [2922]P69(a102) % 183.16/183.17 [2923]P70(a875) % 183.16/183.17 [2924]P70(a1) % 183.16/183.17 [2925]P70(a102) % 183.16/183.17 [2926]P109(a875) % 183.16/183.17 [2927]P109(a1) % 183.16/183.17 [2928]P109(a102) % 183.16/183.17 [2929]P139(a875) % 183.16/183.17 [2930]P139(a1) % 183.16/183.17 [2931]P135(a875) % 183.16/183.17 [2932]P135(a1) % 183.16/183.17 [2933]P135(a102) % 183.16/183.17 [2934]P110(a875) % 183.16/183.17 [2935]P110(a1) % 183.16/183.17 [2936]P110(a102) % 183.16/183.17 [2937]P73(a875) % 183.16/183.17 [2938]P73(a1) % 183.16/183.17 [2939]P73(a102) % 183.16/183.17 [2940]P76(a875) % 183.16/183.17 [2941]P76(a1) % 183.16/183.17 [2942]P76(a102) % 183.16/183.17 [2943]P77(a875) % 183.16/183.17 [2944]P77(a1) % 183.16/183.17 [2945]P77(a102) % 183.16/183.17 [2946]P105(a870) % 183.16/183.17 [2947]P105(a875) % 183.16/183.17 [2948]P105(a1) % 183.16/183.17 [2949]P105(a102) % 183.16/183.17 [2950]P114(a1) % 183.16/183.17 [2951]P106(a875) % 183.16/183.17 [2952]P106(a1) % 183.16/183.17 [2953]P106(a102) % 183.16/183.17 [2954]P107(a870) % 183.16/183.17 [2955]P107(a875) % 183.16/183.17 [2956]P107(a1) % 183.16/183.17 [2957]P107(a102) % 183.16/183.17 [2958]P108(a870) % 183.16/183.17 [2959]P108(a875) % 183.16/183.17 [2960]P108(a1) % 183.16/183.17 [2961]P108(a102) % 183.16/183.17 [2962]P79(a875) % 183.16/183.17 [2963]P79(a1) % 183.16/183.17 [2964]P79(a102) % 183.16/183.17 [2965]P80(a875) % 183.16/183.17 [2966]P80(a1) % 183.16/183.17 [2967]P80(a102) % 183.16/183.17 [2968]P81(a875) % 183.16/183.17 [2969]P81(a1) % 183.16/183.17 [2970]P81(a102) % 183.16/183.17 [2971]P82(a1) % 183.16/183.17 [2972]P120(a875) % 183.16/183.17 [2973]P120(a1) % 183.16/183.17 [2974]P120(a102) % 183.16/183.17 [2975]P123(a1) % 183.16/183.17 [2976]P111(a875) % 183.16/183.17 [2977]P111(a1) % 183.16/183.17 [2978]P111(a102) % 183.16/183.17 [2979]P84(a875) % 183.16/183.17 [2980]P84(a1) % 183.16/183.17 [2981]P84(a102) % 183.16/183.17 [2982]P124(a875) % 183.16/183.17 [2983]P124(a1) % 183.16/183.17 [2984]P124(a102) % 183.16/183.17 [2985]P129(a875) % 183.16/183.17 [2986]P129(a1) % 183.16/183.17 [2987]P129(a102) % 183.16/183.17 [2988]P140(a875) % 183.16/183.17 [2989]P140(a1) % 183.16/183.17 [2990]P140(a102) % 183.16/183.17 [2991]P78(a875) % 183.16/183.17 [2992]P78(a1) % 183.16/183.17 [2993]P78(a102) % 183.16/183.17 [2994]P74(a1) % 183.16/183.17 [2995]P136(a1) % 183.16/183.17 [2996]P137(a1) % 183.16/183.17 [2997]P85(a875) % 183.16/183.17 [2998]P85(a1) % 183.16/183.17 [2999]P85(a102) % 183.16/183.17 [3000]P121(a1) % 183.16/183.17 [3001]P122(a1) % 183.16/183.17 [3002]P130(a875) % 183.16/183.17 [3003]P130(a1) % 183.16/183.17 [3004]P130(a102) % 183.16/183.17 [3005]P132(a875) % 183.16/183.17 [3006]P132(a1) % 183.16/183.17 [3007]P132(a102) % 183.16/183.17 [3008]P131(a875) % 183.16/183.17 [3009]P131(a1) % 183.16/183.17 [3010]P131(a102) % 183.16/183.17 [3011]P125(a875) % 183.16/183.17 [3012]P125(a1) % 183.16/183.17 [3013]P125(a102) % 183.16/183.17 [3014]P115(a875) % 183.16/183.17 [3015]P115(a1) % 183.16/183.17 [3016]P115(a102) % 183.16/183.17 [3017]P126(a875) % 183.16/183.17 [3018]P126(a1) % 183.16/183.17 [3019]P126(a102) % 183.16/183.17 [3020]P127(a1) % 183.16/183.17 [3021]P128(a1) % 183.16/183.17 [3022]P100(a875) % 183.16/183.17 [3023]P100(a1) % 183.16/183.17 [3024]P100(a102) % 183.16/183.17 [3025]P141(a875) % 183.16/183.17 [3026]P141(a1) % 183.16/183.17 [3027]P141(a102) % 183.16/183.17 [3028]P138(a1) % 183.16/183.17 [3029]P55(a875) % 183.16/183.17 [3030]P55(a1) % 183.16/183.17 [3031]P55(a102) % 183.16/183.17 [3032]P89(a1) % 183.16/183.17 [3033]P56(a1) % 183.16/183.17 [3034]P83(a1) % 183.16/183.17 [3035]P133(a1) % 183.16/183.17 [3036]P75(a875) % 183.16/183.17 [3037]P75(a1) % 183.16/183.17 [3038]P75(a102) % 183.16/183.17 [3039]P86(a870) % 183.16/183.17 [3040]P86(a1) % 183.16/183.17 [3041]P93(a870) % 183.16/183.17 [3042]P116(a1) % 183.16/183.17 [3043]P113(a1) % 183.16/183.17 [3044]P71(a1) % 183.16/183.17 [3045]P87(a1) % 183.16/183.17 [3046]P90(a1) % 183.16/183.17 [3047]P91(a875) % 183.16/183.17 [3048]P91(a1) % 183.16/183.17 [3049]P91(a102) % 183.16/183.17 [3050]P112(a875) % 183.16/183.17 [3051]P88(a875) % 183.16/183.17 [3052]P88(a1) % 183.16/183.17 [3053]P88(a102) % 183.16/183.17 [3054]P57(a870) % 183.16/183.17 [3055]P57(a878) % 183.16/183.17 [3056]P92(a870) % 183.16/183.17 [3057]P92(a871) % 183.16/183.17 [3058]P92(a872) % 183.16/183.17 [3059]P92(a875) % 183.16/183.17 [3060]P92(a878) % 183.16/183.17 [3061]P92(a1) % 183.16/183.17 [3062]P92(a102) % 183.16/183.17 [3063]P92(a329) % 183.16/183.17 [3064]P142(a878) % 183.16/183.17 [3065]P142(a1) % 183.16/183.17 [3066]P102(a870) % 183.16/183.17 [3067]P102(a871) % 183.16/183.17 [3068]P102(a872) % 183.16/183.17 [3069]P102(a875) % 183.16/183.17 [3070]P102(a878) % 183.16/183.17 [3071]P102(a102) % 183.16/183.17 [3072]P102(a329) % 183.16/183.17 [3073]P101(a878) % 183.16/183.17 [3074]P101(a1) % 183.16/183.17 [3075]P95(a870) % 183.16/183.17 [3095]P37(a875,a252) % 183.16/183.17 [3096]P37(a875,a323) % 183.16/183.17 [4473]~E(a100,a82) % 183.16/183.17 [4474]~P23(a251) % 183.16/183.17 [2877]E(f2(a1),a82) % 183.16/183.17 [2878]E(f103(a102),a3) % 183.16/183.17 [2879]E(f22(a102),a23) % 183.16/183.17 [3076]E(f196(a875),f2(a875)) % 183.16/183.17 [3077]E(f30(a24),f2(a875)) % 183.16/183.17 [3078]E(f104(a875),f245(a875)) % 183.16/183.17 [3079]E(f113(a875),f246(a875)) % 183.16/183.17 [3080]E(f105(a1),f33(a1)) % 183.16/183.17 [3081]E(f83(a251),f2(a875)) % 183.16/183.17 [3082]E(f83(a195),f2(a875)) % 183.16/183.17 [3083]P27(f77(a1)) % 183.16/183.17 [3084]P27(f2(a1)) % 183.16/183.17 [3144]P37(f881(a875,a875),a34) % 183.16/183.17 [3500]E(f326(a875,a875,a252,a252),a34) % 183.16/183.17 [4475]~E(f77(a1),f2(a1)) % 183.16/183.17 [3085]E(f4(f2(a102)),f2(a875)) % 183.16/183.17 [3086]E(f114(f2(a875)),f2(a875)) % 183.16/183.17 [3098]E(f333(f78(a1),a82),a82) % 183.16/183.17 [3101]E(f333(a115,f2(a875)),f77(a875)) % 183.16/183.17 [3102]E(f333(a107,f77(a1)),f77(a875)) % 183.16/183.17 [3103]E(f333(a3,f77(a875)),f77(a102)) % 183.16/183.17 [3105]E(f333(a3,f2(a875)),f2(a102)) % 183.16/183.17 [3107]E(f333(f106(a1),a82),f2(a1)) % 183.16/183.17 [3108]E(f333(f106(a102),a82),f2(a102)) % 183.16/183.17 [3109]E(f333(a107,f2(a1)),f2(a875)) % 183.16/183.17 [3110]E(f333(f197(a870),a251),f2(a875)) % 183.16/183.17 [3111]E(f333(f197(a870),a195),f2(a875)) % 183.16/183.17 [3112]E(f333(f197(a871),a24),f2(a875)) % 183.16/183.17 [3113]E(f333(f106(a875),a82),f2(a875)) % 183.16/183.17 [3117]E(f333(f78(a1),f77(a1)),a100) % 183.16/183.17 [3125]E(f333(f197(a102),f2(a102)),f2(a875)) % 183.16/183.17 [3126]E(f333(f103(a1),f77(a875)),f77(a1)) % 183.16/183.17 [3127]E(f333(f103(a1),f2(a875)),f2(a1)) % 183.16/183.17 [3128]E(f333(f78(a1),f2(a1)),f2(a1)) % 183.16/183.17 [3140]E(f333(a107,f77(a1)),f333(a115,f2(a875))) % 183.16/183.17 [3141]E(f333(f180(a873,a871),a26),a27) % 183.16/183.17 [3142]E(f324(f881(a875,a875),a34),a35) % 183.16/183.17 [3143]E(f325(f881(a875,a875),a34),a36) % 183.16/183.17 [3165]E(f333(f254(a875),f2(a875)),f196(f882(a875,a870))) % 183.16/183.17 [3166]E(f333(f255(a875),f2(a875)),f256(f882(a875,a870))) % 183.16/183.17 [3174]P38(f196(f882(a1,a870))) % 183.16/183.17 [3210]E(f333(f333(f22(a102),f2(a102)),f77(a102)),f2(a102)) % 183.16/183.17 [3291]P23(f333(f333(f248(a1),a100),f2(a1))) % 183.16/183.17 [3316]P23(f333(f333(f248(a1),f2(a1)),f77(a1))) % 183.16/183.17 [3317]P23(f333(f333(f247(a1),f2(a1)),f77(a1))) % 183.16/183.17 [3492]P23(f333(f61(a873),f186(a873,a871,a27))) % 183.16/183.17 [3530]E(f333(f333(f290(a875,a875,a875),a323),f309(a875,a323)),a252) % 183.16/183.17 [3570]P40(a1,a875,a107,f333(f247(a1),f2(a1))) % 183.16/183.17 [3574]E(f333(f333(f41(a875,f882(a875,a870)),f256(f882(a875,a870))),f254(a875)),f256(f882(a875,a870))) % 183.16/183.17 [3575]E(f333(f333(f41(a875,f882(a875,a870)),f256(f882(a875,a870))),f255(a875)),f256(f882(a875,a870))) % 183.16/183.17 [3576]E(f333(f333(f41(a875,f882(a875,a870)),f256(f882(a875,a870))),f302(a875)),f256(f882(a875,a870))) % 183.16/183.17 [3577]E(f333(f333(f42(a875,f882(a875,a870)),f256(f882(a875,a870))),f305(a875)),f196(f882(a875,a870))) % 183.16/183.17 [3593]P20(a875,a1,f103(a1),f256(f882(a875,a870))) % 183.16/183.17 [3606]P40(a875,a1,f103(a1),f333(f16(a870,a875),a195)) % 183.16/183.17 [3744]E(f333(f72(a875,a102,a1,a3),a107),f106(a102)) % 183.16/183.17 [3972]P51(a102,a875,a19,a3,f256(f882(a875,a870))) % 183.16/183.17 [3981]P51(a1,f882(f881(a875,a875),a870),a109,a88,a101) % 183.16/183.17 [4248]E(f273(a1,a1,a1,a1,f33(a1),f78(a1)),a50) % 183.16/183.17 [4498]~E(f333(f106(a1),a100),f333(f106(a1),a82)) % 183.16/183.17 [4499]~P23(f333(a201,f77(a1))) % 183.16/183.17 [4500]~P23(f333(a201,f2(a1))) % 183.16/183.17 [4541]~P23(f333(f333(f248(a1),a82),f2(a1))) % 183.16/183.17 [3157]E(f333(f333(f22(a1),a100),a100),a82) % 183.16/183.17 [3172]E(f333(f103(a1),f333(a115,f2(a875))),f77(a1)) % 183.16/183.17 [3240]E(f333(f37(a878),f256(f882(a878,a870))),f77(a875)) % 183.16/183.17 [3261]P23(f333(a201,f333(f106(a1),a100))) % 183.16/183.17 [3262]P23(f333(f333(f248(a1),a100),a82)) % 183.16/183.17 [3264]P23(f333(f333(f247(a1),a100),a82)) % 183.16/183.17 [3327]E(f333(f333(f311(a875),f2(a875)),f196(f882(a875,a870))),f333(f302(a875),f2(a875))) % 183.16/183.17 [3383]P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),a82))) % 183.16/183.17 [3395]E(f333(f312(a875,a875,a115),f256(f882(a875,a870))),f333(f305(a875),f2(a875))) % 183.16/183.17 [3435]P3(f881(a875,a875),f256(f882(f881(a875,a875),a870)),a111) % 183.16/183.17 [3752]E(f333(f72(a875,a1,a102,f103(a1)),a19),a20) % 183.16/183.17 [3814]P37(a875,f333(f253(f881(a875,a875)),f333(f272(a875,a875,a870),f248(a875)))) % 183.16/183.17 [4530]~P23(f333(a201,f333(f106(a1),a82))) % 183.16/183.17 [4531]~P23(f333(f333(f248(a1),a82),a82)) % 183.16/183.17 [4532]~P23(f333(f333(f248(a1),a82),a100)) % 183.16/183.17 [4533]~P23(f333(f333(f248(a1),a100),a100)) % 183.16/183.17 [4534]~P23(f333(f333(f247(a1),a82),a100)) % 183.16/183.17 [4535]~P23(f333(f333(f90(a1),a82),a100)) % 183.16/183.17 [4536]~P23(f333(f333(f90(a1),a100),a82)) % 183.16/183.17 [4547]~P23(f333(f61(a875),f256(f882(a875,a870)))) % 183.16/183.17 [4548]~P23(f333(f61(a1),f256(f882(a1,a870)))) % 183.16/183.17 [4419]E(f333(f272(a1,a1,a870),f333(f333(f8(f882(a1,a870),f882(a1,a870),a1),f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f248(a1),f2(a1))))),f333(f333(f7(a1,a1,f882(a1,a870)),f333(f333(f8(f882(a1,f882(a1,a870)),f882(a1,f882(a1,a870)),a1),f7(a1,a1,a870)),f333(f333(f8(f882(a1,a1),f882(a1,f882(a1,a870)),a1),f333(f8(a1,f882(a1,a870),a1),a330)),a229))),f77(a1)))),a225) % 183.16/183.17 [4571]~P19(a872,a883,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),a330),a24),f202(a24))),f196(f882(f874(a872),a870)))) % 183.16/183.17 [3473]E(f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100),f333(f78(a1),a100)) % 183.16/183.17 [3513]E(f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100),f333(f333(f22(a1),a82),a100)) % 183.16/183.17 [3677]E(f333(f333(f60(f881(a875,a875)),f256(f882(f881(a875,a875),a870))),a111),a101) % 183.16/183.17 [3706]E(f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f77(a1)) % 183.16/183.17 [3707]E(f333(f106(a102),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f77(a102)) % 183.16/183.17 [3708]E(f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f77(a875)) % 183.16/183.17 [3712]E(f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(a115,f2(a875))) % 183.16/183.17 [4107]E(f333(f333(f113(f882(f881(f881(a875,a875),f881(a875,a875)),a870)),a34),f309(f881(a875,a875),f196(f882(f881(f881(a875,a875),f881(a875,a875)),a870)))),a69) % 183.16/183.17 [4178]E(f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),f77(a875)),f2(a875))),f196(f882(f881(a875,a875),a870))))),f77(a1)) % 183.16/183.17 [4179]E(f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),f2(a875)),f2(a875))),f196(f882(f881(a875,a875),a870))))),f2(a1)) % 183.16/183.17 [4194]E(f333(f253(f881(a875,a875)),f333(f272(a875,a875,a870),f333(f333(f8(a875,f882(a875,a870),a875),f333(f7(a875,a875,a870),a330)),a115))),a323) % 183.16/183.17 [4164]E(f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),f333(a115,f333(a115,f2(a875)))) % 183.16/183.17 [4167]E(f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),f333(f333(f79(a875),f77(a875)),f77(a875))) % 183.16/183.17 [4168]E(f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),f333(f37(a870),f256(f882(a870,a870)))) % 183.16/183.17 [4234]P27(f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))) % 183.16/183.17 [4306]P21(f882(f881(a875,a875),a870),f333(f333(f268(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870),f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)),a35),a70)) % 183.16/183.17 [4307]P21(f882(f881(a875,a875),a870),f333(f333(f268(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870),f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)),a36),a68)) % 183.16/183.17 [4347]E(f333(f333(f113(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)),f325(f881(a875,a875),a69)),f333(f333(f311(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f196(f882(f881(a875,a875),a870))),f196(f882(f881(a875,a875),a870)))),f196(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)))),a68) % 183.16/183.17 [4348]E(f333(f333(f113(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)),f324(f881(a875,a875),a69)),f333(f333(f311(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f196(f882(f881(a875,a875),a870))),f196(f882(f881(a875,a875),a870)))),f196(f882(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a870)))),a70) % 183.16/183.17 [4236]E(f333(a107,f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(a115,f333(a115,f2(a875)))) % 183.16/183.17 [4283]E(f333(f103(a1),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))) % 183.16/183.17 [4318]P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.17 [4319]E(f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100)),f333(a115,f333(a115,f333(a115,f2(a875))))) % 183.16/183.17 [4361]P27(f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))) % 183.16/183.17 [4389]E(f333(f103(a1),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))) % 183.16/183.17 [4404]P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100)))) % 183.16/183.17 [3097]P2(x30971,a330) % 183.16/183.17 [3501]P20(a875,a875,a115,x35011) % 183.16/183.17 [3087]P92(f874(x30871)) % 183.16/183.17 [3088]P92(f879(x30881)) % 183.16/183.17 [3089]P92(f876(x30891)) % 183.16/183.17 [3090]P92(f877(x30901)) % 183.16/183.17 [3091]P102(f874(x30911)) % 183.16/183.17 [3092]P102(f879(x30921)) % 183.16/183.17 [3093]P102(f876(x30931)) % 183.16/183.17 [3094]P102(f877(x30941)) % 183.16/183.17 [3114]P37(a1,f108(x31141)) % 183.16/183.17 [3115]P37(a1,f110(x31151)) % 183.16/183.17 [3162]P37(f882(x31621,a870),f308(x31621)) % 183.16/183.17 [3186]E(f257(x31861,x31861,a330),a330) % 183.16/183.17 [3201]E(f44(a1,x32011,x32011),f2(a1)) % 183.16/183.17 [3258]P10(x32581,f882(x32581,a870),f311(x32581)) % 183.16/183.17 [4477]~E(f333(a25,x44771),a24) % 183.16/183.17 [4479]~E(f333(a115,x44791),x44791) % 183.16/183.17 [4489]~E(f333(a115,x44891),f2(a875)) % 183.16/183.17 [3099]E(f333(f197(a875),x30991),x30991) % 183.16/183.17 [3100]E(f333(f106(a1),x31001),x31001) % 183.16/183.17 [3116]E(f333(a88,f334(x31161)),x31161) % 183.16/183.17 [3129]E(f117(x31291,f116(x31291)),f116(x31291)) % 183.16/183.17 [3130]E(f153(x31301,f116(x31301)),f116(x31301)) % 183.16/183.17 [3132]E(f30(f333(a25,x31321)),f2(a875)) % 183.16/183.17 [3137]E(f333(f169(x31371),f116(x31371)),f116(x31371)) % 183.16/183.17 [3138]E(f333(f173(x31381),f116(x31381)),f116(x31381)) % 183.16/183.17 [3139]E(f333(f170(x31391),f116(x31391)),f116(x31391)) % 183.16/183.17 [3145]E(f333(f106(a1),x31451),f333(f105(a1),x31451)) % 183.16/183.17 [3146]E(f333(a88,f333(a109,x31461)),x31461) % 183.16/183.17 [3148]E(f333(a3,f333(a19,x31481)),x31481) % 183.16/183.17 [3149]E(f333(a19,f333(a3,x31491)),x31491) % 183.16/183.17 [3150]P27(f333(f103(a1),x31501)) % 183.16/183.17 [3155]E(f333(f197(f879(x31551)),f209(x31551)),f2(a875)) % 183.16/183.17 [3156]E(f333(f197(f876(x31561)),f116(x31561)),f2(a875)) % 183.16/183.17 [3161]E(f333(f197(a871),f333(a25,x31611)),f2(a875)) % 183.16/183.17 [3170]E(f239(x31701,f209(x31701)),f196(f882(x31701,a870))) % 183.16/183.17 [3177]E(f333(f333(f22(a875),x31771),f2(a875)),x31771) % 183.16/183.17 [3178]E(f333(f333(f79(a875),x31781),f2(a875)),x31781) % 183.16/183.17 [3179]E(f333(f333(f79(a1),x31791),f2(a1)),x31791) % 183.16/183.17 [3180]E(f333(f333(f80(a875),x31801),f77(a875)),x31801) % 183.16/183.17 [3181]E(f333(f333(f80(a1),x31811),f77(a1)),x31811) % 183.16/183.17 [3182]E(f333(f333(f246(a875),x31821),f2(a875)),x31821) % 183.16/183.17 [3183]E(f333(f333(f80(a875),x31831),f2(a875)),f2(a875)) % 183.16/183.17 [3184]E(f333(f333(f38(a1),x31841),f2(a1)),f2(a1)) % 183.16/183.17 [3185]E(f333(f333(f245(a875),x31851),f2(a875)),f2(a875)) % 183.16/183.17 [3192]E(f333(f174(x31921),f116(x31921)),f196(f882(x31921,a870))) % 183.16/183.17 [3196]P23(f333(f138(x31961),f116(x31961))) % 183.16/183.17 [3202]E(f333(f155(x32021,x32021),f5(x32021)),f33(f876(x32021))) % 183.16/183.17 [3203]E(f333(f155(x32031,x32031),f33(x32031)),f33(f876(x32031))) % 183.16/183.17 [3204]E(f333(f210(x32041,x32041),f5(x32041)),f33(f879(x32041))) % 183.16/183.17 [3205]E(f333(f210(x32051,x32051),f33(x32051)),f33(f879(x32051))) % 183.16/183.17 [3206]E(f44(a1,x32061,f2(a1)),x32061) % 183.16/183.17 [3207]E(f333(f247(a875),f333(a115,x32071)),f333(f248(a875),x32071)) % 183.16/183.17 [3208]E(f333(f254(a875),f333(a115,x32081)),f333(f302(a875),x32081)) % 183.16/183.17 [3209]E(f333(f255(a875),f333(a115,x32091)),f333(f305(a875),x32091)) % 183.16/183.17 [3211]E(f44(a1,f2(a1),x32111),f2(a1)) % 183.16/183.17 [3224]E(f333(f333(f79(a875),x32241),f77(a875)),f333(a115,x32241)) % 183.16/183.17 [3234]E(f333(f303(a875,x32341),f2(a875)),f196(f882(a875,a870))) % 183.16/183.17 [3246]E(f304(a875,f2(a875),x32461),f333(f302(a875),x32461)) % 183.16/183.17 [3294]E(f333(f333(f22(a875),f333(a115,x32941)),f77(a875)),x32941) % 183.16/183.17 [3307]E(f46(f2(a1),x33071),f333(f333(f268(a1,a1),f2(a1)),f2(a1))) % 183.16/183.17 [3357]P23(f333(f333(f248(a875),x33571),f333(a115,x33571))) % 183.16/183.17 [3369]P23(f333(f333(f248(a875),f2(a875)),f333(a115,x33691))) % 183.16/183.17 [3663]E(f333(f333(f22(a102),f333(a3,f333(a115,f333(a19,x36631)))),f77(a102)),x36631) % 183.16/183.17 [3736]P23(f333(f333(f247(a1),f333(f78(a1),f333(f103(a1),x37361))),f2(a1))) % 183.16/183.17 [3888]P23(f333(f333(f248(a1),f333(f78(a1),f333(f103(a1),f333(a115,x38881)))),f2(a1))) % 183.16/183.17 [4505]~E(f256(f882(x45051,a870)),f196(f882(x45051,a870))) % 183.16/183.17 [4544]~P23(f333(f333(f248(a875),x45441),f2(a875))) % 183.16/183.17 [4556]~P23(f333(f333(f248(a1),f333(f103(a1),x45561)),f2(a1))) % 183.16/183.17 [3160]E(f182(x31601,f116(f876(x31601))),f116(f876(x31601))) % 183.16/183.17 [3163]E(f333(f333(f80(a1),a82),x31631),a82) % 183.16/183.17 [3164]E(f333(f333(f79(a1),a82),x31641),x31641) % 183.16/183.17 [3167]E(f333(a107,f333(f103(a1),x31671)),x31671) % 183.16/183.17 [3168]E(f333(f333(f22(a1),x31681),a82),x31681) % 183.16/183.17 [3169]E(f333(f333(f79(a1),x31691),a82),x31691) % 183.16/183.17 [3171]E(f333(f333(f22(a875),x31711),x31711),f2(a875)) % 183.16/183.17 [3175]E(f333(f37(a875),f333(f254(a875),x31751)),x31751) % 183.16/183.17 [3176]E(f333(f78(a1),f333(f78(a1),x31761)),x31761) % 183.16/183.17 [3187]E(f333(f333(f79(a875),f2(a875)),x31871),x31871) % 183.16/183.17 [3188]E(f333(f333(f79(a1),f2(a1)),x31881),x31881) % 183.16/183.17 [3189]E(f333(f333(f80(a875),f77(a875)),x31891),x31891) % 183.16/183.17 [3190]E(f333(f333(f80(a1),f77(a1)),x31901),x31901) % 183.16/183.17 [3191]E(f333(f333(f246(a875),f2(a875)),x31911),x31911) % 183.16/183.17 [3197]E(f333(f333(f22(a875),f2(a875)),x31971),f2(a875)) % 183.16/183.17 [3198]E(f333(f333(f80(a875),f2(a875)),x31981),f2(a875)) % 183.16/183.17 [3199]E(f333(f333(f38(a1),f2(a1)),x31991),f2(a1)) % 183.16/183.17 [3200]E(f333(f333(f245(a875),f2(a875)),x32001),f2(a875)) % 183.16/183.17 [3212]E(f126(x32121,f333(f78(a1),x32121)),f133(a1,x32121)) % 183.16/183.17 [3218]E(f333(f303(a875,f2(a875)),x32181),f333(f254(a875),x32181)) % 183.16/183.17 [3219]E(f333(f333(f80(a1),a100),x32191),f333(f78(a1),x32191)) % 183.16/183.17 [3226]E(f333(a107,f333(f106(a1),x32261)),f333(f106(a875),x32261)) % 183.16/183.17 [3227]E(f333(a19,f333(f106(a102),x32271)),f333(f106(a875),x32271)) % 183.16/183.17 [3228]E(f333(f37(a875),f333(f302(a875),x32281)),f333(a115,x32281)) % 183.16/183.17 [3238]E(f333(f333(f79(a875),f77(a875)),x32381),f333(a115,x32381)) % 183.16/183.17 [3242]E(f333(f74(a1),f333(f103(a1),x32421)),f333(f103(a1),x32421)) % 183.16/183.17 [3243]E(f333(f105(a1),f333(f103(a1),x32431)),f333(f103(a1),x32431)) % 183.16/183.17 [3248]E(f333(f37(x32481),f196(f882(x32481,a870))),f2(a875)) % 183.16/183.17 [3250]E(f333(f333(f38(a875),x32501),f333(a115,f2(a875))),x32501) % 183.16/183.17 [3259]E(f44(a875,x32591,f333(a115,f2(a875))),f2(a875)) % 183.16/183.17 [3260]E(f44(a1,x32601,f333(f106(a1),a100)),f2(a1)) % 183.16/183.17 [3276]E(f333(f333(f38(a1),x32761),f333(f106(a1),a100)),f333(f78(a1),x32761)) % 183.16/183.17 [3280]E(f140(a875,f333(f303(a875,x32801),f2(a875))),f116(a875)) % 183.16/183.17 [3281]E(f333(f333(f79(a1),x32811),f77(a1)),f333(f333(f22(a1),x32811),a100)) % 183.16/183.17 [3282]E(f333(f333(f22(a1),x32821),f77(a1)),f333(f333(f79(a1),x32821),a100)) % 183.16/183.17 [3287]P23(f333(f333(f202(a24),x32871),x32871)) % 183.16/183.17 [3288]P23(f333(f333(f247(a875),x32881),x32881)) % 183.16/183.17 [3289]P23(f333(f333(f247(a1),x32891),x32891)) % 183.16/183.17 [3290]P23(f333(f333(f90(a1),x32901),x32901)) % 183.16/183.17 [3295]E(f333(f78(a1),f333(f106(a1),x32951)),f333(f106(a1),f333(f78(a1),x32951))) % 183.16/183.17 [3296]P23(f333(f61(a875),f333(f254(a875),x32961))) % 183.16/183.17 [3297]P23(f333(f61(a875),f333(f302(a875),x32971))) % 183.16/183.17 [3305]E(f162(x33051,f256(f882(x33051,a870))),f256(f882(f876(x33051),a870))) % 183.16/183.17 [3310]P23(f333(f333(f247(a875),f2(a875)),x33101)) % 183.16/183.17 [3320]E(f333(f333(f79(a875),f114(x33201)),f333(a115,f2(a875))),f114(f333(a115,x33201))) % 183.16/183.17 [3321]E(f333(f253(x33211),f333(f16(a870,x33211),a251)),f196(f882(x33211,a870))) % 183.16/183.17 [3322]E(f333(f253(x33221),f333(f16(a870,x33221),a195)),f256(f882(x33221,a870))) % 183.16/183.17 [3326]E(f333(f333(f311(a875),x33261),f333(f254(a875),x33261)),f333(f254(a875),f333(a115,x33261))) % 183.16/183.17 [3338]E(f333(f333(f79(a1),f77(a1)),f333(f103(a1),x33381)),f333(f103(a1),f333(a115,x33381))) % 183.16/183.17 [3340]E(f333(f333(f152(f876(x33401)),f116(x33401)),f116(f876(x33401))),f53(x33401,f116(x33401))) % 183.16/183.17 [3360]E(f196(f882(f881(x33601,x33601),a870)),f265(x33601,f196(f882(x33601,a870)))) % 183.16/183.17 [3361]E(f333(f310(x33611),f256(f882(x33611,a870))),f256(f882(f882(x33611,a870),a870))) % 183.16/183.17 [3362]E(f333(f78(f882(x33621,a870)),f196(f882(x33621,a870))),f256(f882(x33621,a870))) % 183.16/183.17 [3363]E(f333(f78(f882(x33631,a870)),f256(f882(x33631,a870))),f196(f882(x33631,a870))) % 183.16/183.17 [3365]P23(f333(f61(x33651),f196(f882(x33651,a870)))) % 183.16/183.17 [3367]E(f333(f303(a875,x33671),f333(a115,x33671)),f333(f333(f311(a875),x33671),f196(f882(a875,a870)))) % 183.16/183.17 [3368]E(f84(f881(a875,a875),f47(x33681,f2(a875))),f333(f333(f268(a875,a875),f2(a875)),x33681)) % 183.16/183.17 [3382]E(f333(f333(f311(a875),f333(a115,x33821)),f333(f302(a875),x33821)),f333(f302(a875),f333(a115,x33821))) % 183.16/183.17 [3386]P37(x33861,f196(f882(f881(x33861,x33861),a870))) % 183.16/183.17 [3389]P23(f333(f333(f247(a1),f2(a1)),f333(f103(a1),x33891))) % 183.16/183.17 [3397]E(f333(f333(f79(a875),f333(f197(a875),x33971)),f333(a115,f2(a875))),f333(f197(a875),f333(a115,x33971))) % 183.16/183.17 [3508]P38(f333(f312(a875,a1,f103(a1)),x35081)) % 183.16/183.17 [3546]P39(x35461,f196(f882(x35461,a870)),f196(f882(f881(x35461,x35461),a870))) % 183.16/183.17 [3566]E(f333(f333(f268(a1,a1),f333(f106(a1),a100)),f333(f333(f22(a1),x35661),f77(a1))),f49(f333(f106(a1),a100),x35661)) % 183.16/183.17 [3618]P54(x36181,f333(f16(f882(x36181,a870),x36181),f333(f16(a870,x36181),a251))) % 183.16/183.17 [3826]P23(f333(f333(f335(f882(f881(a875,a875),a870)),f334(x38261)),a101)) % 183.16/183.17 [3852]P23(f333(f333(f335(f882(f881(a875,a875),a870)),f333(a109,x38521)),a101)) % 183.16/183.17 [3990]P20(x39901,f882(x39901,a870),f333(f333(f7(x39901,f882(x39901,a870),f882(x39901,a870)),f311(x39901)),f196(f882(x39901,a870))),f256(f882(x39901,a870))) % 183.16/183.17 [4502]~E(f333(f333(f79(a1),x45021),x45021),a100) % 183.16/183.17 [4529]~E(f333(a3,f333(a115,f333(a19,x45291))),f2(a102)) % 183.16/183.17 [4537]~P23(f333(a201,f333(f103(a1),x45371))) % 183.16/183.17 [4540]~P23(f333(f333(f248(a875),x45401),x45401)) % 183.16/183.17 [4549]~P23(f333(f333(f247(a875),f333(a115,x45491)),x45491)) % 183.16/183.17 [3312]E(f333(a107,f333(f78(a1),f333(f103(a1),x33121))),f2(a875)) % 183.16/183.17 [3315]E(f333(f333(f79(a1),f333(f78(a1),x33151)),x33151),f2(a1)) % 183.16/183.17 [3319]E(f333(f37(a1),f333(f303(a1,f2(a1)),x33191)),f333(a107,x33191)) % 183.16/183.17 [3331]E(f333(f333(f258(a875),f333(a115,f2(a875))),x33311),f333(a115,f2(a875))) % 183.16/183.17 [3432]E(f333(f286(x34321),f196(f882(f881(x34321,x34321),a870))),f196(f882(x34321,a870))) % 183.16/183.17 [3440]E(f40(f882(x34401,a870),f196(f882(f882(x34401,a870),a870))),f256(f882(x34401,a870))) % 183.16/183.17 [3441]E(f40(f882(x34411,a870),f256(f882(f882(x34411,a870),a870))),f196(f882(x34411,a870))) % 183.16/183.17 [3442]E(f39(f882(x34421,a870),f196(f882(f882(x34421,a870),a870))),f196(f882(x34421,a870))) % 183.16/183.17 [3443]E(f39(f882(x34431,a870),f256(f882(f882(x34431,a870),a870))),f256(f882(x34431,a870))) % 183.16/183.17 [3490]E(f333(f333(f311(f876(x34901)),f116(x34901)),f196(f882(f876(x34901),a870))),f162(x34901,f196(f882(x34901,a870)))) % 183.16/183.17 [3491]E(f333(f333(f311(f876(x34911)),f116(x34911)),f196(f882(f876(x34911),a870))),f163(x34911,f116(f882(x34911,a870)))) % 183.16/183.17 [3529]E(f333(f333(f79(a875),f4(x35291)),f333(a115,f2(a875))),f4(f333(a3,f333(a115,f333(a19,x35291))))) % 183.16/183.17 [3557]E(f333(f37(a1),f333(f312(a875,a1,f103(a1)),x35571)),f333(f37(a875),x35571)) % 183.16/183.17 [3560]P23(f333(f333(f247(a875),x35601),f333(f333(f80(a875),x35601),x35601))) % 183.16/183.17 [3597]E(f333(f312(a1,a875,a107),f304(a1,f2(a1),f333(f103(a1),x35971))),f333(f302(a875),x35971)) % 183.16/183.17 [3613]E(f333(f333(f38(a875),f333(a115,f2(a875))),f333(f106(a875),x36131)),f333(a107,f333(f333(f38(a1),f77(a1)),f333(f106(a1),x36131)))) % 183.16/183.17 [3615]E(f333(f174(a875),f140(a875,f333(f303(a875,f2(a875)),f333(a115,x36151)))),f333(f302(a875),x36151)) % 183.16/183.17 [3616]E(f333(f333(f79(a875),f333(f197(a102),x36161)),f333(a115,f2(a875))),f333(f197(a102),f333(a3,f333(a115,f333(a19,x36161))))) % 183.16/183.17 [3636]E(f333(f312(a1,a875,a107),f333(f312(a875,a1,f103(a1)),x36361)),x36361) % 183.16/183.17 [3669]E(f333(f333(f311(a875),f2(a875)),f333(f312(a875,a875,a115),f333(f254(a875),x36691))),f333(f254(a875),f333(a115,x36691))) % 183.16/183.17 [3676]P49(x36761,x36761,f309(x36761,f196(f882(f881(x36761,x36761),a870)))) % 183.16/183.17 [3682]P23(f333(a201,f333(f78(a1),f333(f103(a1),f333(a115,x36821))))) % 183.16/183.17 [3693]E(f333(f333(f22(f882(a875,a870)),f333(f255(a875),x36931)),f333(f333(f311(a875),x36931),f196(f882(a875,a870)))),f333(f255(a875),f333(a115,x36931))) % 183.16/183.17 [3709]E(f333(f333(f79(a1),f333(f333(f22(a1),a82),x37091)),f333(f333(f22(a1),a82),x37091)),f333(f333(f22(a1),a82),f333(f333(f79(a1),x37091),x37091))) % 183.16/183.17 [3725]E(f333(f333(f311(f882(x37251,a870)),f196(f882(x37251,a870))),f196(f882(f882(x37251,a870),a870))),f333(f310(x37251),f196(f882(x37251,a870)))) % 183.16/183.17 [3753]E(f333(f333(f22(f882(a875,a870)),f333(f305(a875),x37531)),f333(f333(f311(a875),f333(a115,x37531)),f196(f882(a875,a870)))),f333(f305(a875),f333(a115,x37531))) % 183.16/183.17 [3762]E(f333(f333(f311(f879(x37621)),f209(x37621)),f333(f312(x37621,f879(x37621),f240(x37621)),f256(f882(x37621,a870)))),f256(f882(f879(x37621),a870))) % 183.16/183.17 [3864]E(f333(f106(a875),f333(f333(f79(a1),x38641),x38641)),f333(f333(f85(a875,a875),f333(f106(a875),x38641)),f333(f333(f18(a875,a875,a875),f79(a875)),f5(a875)))) % 183.16/183.17 [4257]P10(x42571,f882(x42571,a870),f333(f333(f8(f882(x42571,a870),f882(f882(x42571,a870),f882(x42571,a870)),x42571),f333(f7(f882(x42571,a870),f882(x42571,a870),f882(x42571,a870)),f22(f882(x42571,a870)))),f333(f333(f7(x42571,f882(x42571,a870),f882(x42571,a870)),f311(x42571)),f196(f882(x42571,a870))))) % 183.16/183.17 [4346]E(f333(f253(f881(a1,a1)),f333(f272(a1,a1,a870),f333(f333(f8(f882(a1,a870),f882(a1,a870),a1),f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),x43461)))),f248(a1)))),f110(x43461)) % 183.16/183.17 [4379]E(f333(f253(f881(a1,a1)),f333(f272(a1,a1,a870),f333(f333(f18(a1,f882(a1,a870),f882(a1,a870)),f333(f333(f8(f882(a870,a870),f882(f882(a1,a870),f882(a1,a870)),a1),f8(a870,a870,a1)),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),x43791)))),f248(a1)))),f108(x43791)) % 183.16/183.17 [4434]E(f333(f253(f881(f882(x44341,a870),f882(x44341,a870))),f333(f272(f882(x44341,a870),f882(x44341,a870),a870),f333(f333(f7(f882(x44341,a870),f882(f882(x44341,a870),a870),f882(f882(x44341,a870),a870)),f333(f333(f8(f882(f882(x44341,a870),f882(a870,a870)),f882(f882(f882(x44341,a870),a870),f882(f882(x44341,a870),a870)),f882(x44341,a870)),f18(f882(x44341,a870),a870,a870)),f333(f333(f8(f882(f882(x44341,a870),a870),f882(f882(x44341,a870),f882(a870,a870)),f882(x44341,a870)),f333(f8(a870,f882(a870,a870),f882(x44341,a870)),a331)),f248(f882(x44341,a870))))),f61(x44341)))),f308(x44341)) % 183.16/183.17 [4553]~P23(f333(f61(f876(x45531)),f256(f882(f876(x45531),a870)))) % 183.16/183.17 [4558]~P23(f333(f333(f90(a1),a100),f333(f333(f79(a1),x45581),x45581))) % 183.16/183.17 [4568]~P23(f333(f333(f247(a1),f2(a1)),f333(f78(a1),f333(f103(a1),f333(a115,x45681))))) % 183.16/183.17 [3467]E(f333(f333(f22(a1),f333(f333(f79(a1),x34671),a100)),a100),x34671) % 183.16/183.17 [3483]E(f333(f174(a875),f140(a875,f333(f303(a875,f2(a875)),x34831))),f333(f254(a875),x34831)) % 183.16/183.17 [3732]E(f333(f333(f79(a1),f333(f333(f79(a1),f77(a1)),x37321)),x37321),f333(f333(f22(a1),f333(f333(f79(a1),x37321),x37321)),a100)) % 183.16/183.17 [3781]E(f333(f288(x37811,x37811),f309(x37811,f196(f882(f881(x37811,x37811),a870)))),f309(x37811,f196(f882(f881(x37811,x37811),a870)))) % 183.16/183.17 [3829]P23(f333(f333(f247(a875),x38291),f333(f333(f80(a875),x38291),f333(f333(f80(a875),x38291),x38291)))) % 183.16/183.17 [4111]P23(f333(f61(a875),f333(f253(a875),f333(f333(f7(a875,a875,a870),f248(a875)),x41111)))) % 183.16/183.17 [4112]P23(f333(f61(a875),f333(f253(a875),f333(f333(f7(a875,a875,a870),f247(a875)),x41121)))) % 183.16/183.17 [4399]E(f333(f253(f881(x43991,x43991)),f333(f333(f8(f882(x43991,a870),a870,f881(x43991,x43991)),f86(x43991)),f333(f333(f7(f881(x43991,x43991),f882(x43991,f881(x43991,x43991)),f882(x43991,a870)),f333(f333(f8(f882(f881(x43991,x43991),a870),f882(f882(x43991,f881(x43991,x43991)),f882(x43991,a870)),f881(x43991,x43991)),f8(f881(x43991,x43991),a870,x43991)),a330)),f333(f333(f18(x43991,x43991,f881(x43991,x43991)),f268(x43991,x43991)),f5(x43991))))),f309(x43991,f196(f882(f881(x43991,x43991),a870)))) % 183.16/183.17 [4555]~E(f333(f333(f22(a1),f333(f333(f79(a1),x45551),x45551)),a100),a82) % 183.16/183.17 [4557]~E(f333(f333(f79(a1),f333(f333(f79(a1),f77(a1)),x45571)),x45571),f2(a1)) % 183.16/183.17 [4565]~P23(f333(f333(f90(a1),f333(f333(f79(a1),x45651),x45651)),a100)) % 183.16/183.17 [3877]E(f333(f333(f79(a1),f333(f333(f22(a1),a100),x38771)),f333(f333(f22(a1),a100),x38771)),f333(f333(f22(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x38771),x38771)),a100))) % 183.16/183.17 [3999]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),a100),x39991)),f333(f333(f22(a1),a100),x39991))),a100),f333(f333(f22(a1),a100),f333(f333(f79(a1),x39991),x39991))) % 183.16/183.17 [4034]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f79(a1),x40341),a100)),f333(f333(f79(a1),x40341),a100))),a100),f333(f333(f79(a1),f333(f333(f79(a1),x40341),x40341)),a100)) % 183.16/183.17 [4073]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),a100),x40731)),f333(f333(f22(a1),a100),x40731))),a100),f333(f333(f22(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x40731),x40731)),a100))) % 183.16/183.17 [4174]E(f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x41741),f2(a875))),f196(f882(f881(a875,a875),a870))))),f333(f103(a1),x41741)) % 183.16/183.17 [4184]E(f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),f338(x41841)),f555(x41841))),f196(f882(f881(a875,a875),a870))))),x41841) % 183.16/183.17 [4219]E(f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x42191)),f333(f312(a875,a1,f103(a1)),f333(f253(a875),f333(f333(f8(a1,a870,a875),x42191),f103(a1))))) % 183.16/183.17 [4265]P38(f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x42651))) % 183.16/183.17 [4286]P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x42861),f196(f882(f881(a875,a875),a870)))),a70)) % 183.16/183.17 [4292]E(f333(f312(a1,a875,a107),f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),f333(f333(f8(a875,a870,a1),x42921),a107)))),f333(f253(a875),x42921)) % 183.16/183.17 [4448]E(f314(a875,f333(f333(f41(f881(a875,a875),f882(a875,a870)),f333(a109,x44481)),f333(f272(a875,a875,f882(a875,a870)),f333(f333(f7(a875,f882(a875,a870),f882(a875,f882(a875,a870))),f333(f333(f8(f882(a875,f882(f882(a875,a870),f882(a875,a870))),f882(f882(a875,a870),f882(a875,f882(a875,a870))),a875),f7(a875,f882(a875,a870),f882(a875,a870))),f333(f333(f8(f882(a875,a875),f882(a875,f882(f882(a875,a870),f882(a875,a870))),a875),f333(f8(a875,f882(f882(a875,a870),f882(a875,a870)),a875),f311(a875))),f22(a875)))),f196(f882(a875,a870)))))),f333(a107,x44481)) % 183.16/183.17 [4570]~P23(f333(f333(f90(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x45701),x45701)),a100))) % 183.16/183.17 [3922]E(f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),x39221),x39221)),a100)),a100),f333(f333(f79(a1),x39221),x39221)) % 183.16/183.17 [3973]E(f333(f333(f22(a1),f333(f333(f22(a1),f333(f333(f79(a1),x39731),x39731)),a100)),a100),f333(f333(f79(a1),f333(f333(f22(a1),x39731),a100)),f333(f333(f22(a1),x39731),a100))) % 183.16/183.17 [4192]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f79(a1),f333(f78(a1),x41921)),a100)),f333(f333(f79(a1),f333(f78(a1),x41921)),a100))),a100),f333(f78(a1),f333(f333(f22(a1),f333(f333(f79(a1),x41921),x41921)),a100))) % 183.16/183.17 [4579]~P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x45791),x45791)),a100)),a82)) % 183.16/183.17 [4237]E(f333(f333(f79(a875),x42371),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(a115,f333(a115,x42371))) % 183.16/183.17 [4238]E(f333(f333(f80(a875),x42381),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f79(a875),x42381),x42381)) % 183.16/183.17 [4239]E(f333(f333(f38(a875),f333(f333(f79(a875),x42391),x42391)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x42391) % 183.16/183.17 [4321]E(f44(a875,f333(a115,f333(a115,x43211)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a875,x43211,f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.17 [4463]E(f333(a88,f333(f333(f41(f881(a875,a875),f882(f881(a875,a875),a870)),f333(a109,x44631)),f333(f272(a875,a875,f882(f881(a875,a875),a870)),f333(f333(f8(f882(a875,f882(f881(a875,a875),a870)),f882(a875,f882(f881(a875,a875),a870)),a875),f333(f8(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870),a875),f287(f881(a875,a875),f881(a875,a875),a111))),f333(f333(f7(a875,f882(f881(a875,a875),a870),f882(a875,f882(f881(a875,a875),a870))),f333(f333(f8(f882(a875,f882(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f882(f882(f881(a875,a875),a870),f882(a875,f882(f881(a875,a875),a870))),a875),f7(a875,f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f8(f882(a875,f881(a875,a875)),f882(a875,f882(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),a875),f333(f8(f881(a875,a875),f882(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),a875),f311(f881(a875,a875)))),f333(f7(a875,a875,f881(a875,a875)),f268(a875,a875))))),f196(f882(f881(a875,a875),a870))))))),f333(f78(a1),x44631)) % 183.16/183.17 [4316]E(f333(f333(f79(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x43161),f333(a115,f333(a115,x43161))) % 183.16/183.17 [4317]E(f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x43171),f333(f333(f79(a875),x43171),x43171)) % 183.16/183.17 [4351]E(f333(f333(f38(a875),f333(a115,f333(a115,x43511))),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(a115,f333(f333(f38(a875),x43511),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.17 [4405]E(f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44051),f333(a115,f333(a115,f333(a115,x44051)))) % 183.16/183.17 [4471]E(f333(f272(a1,a1,f881(a1,a1)),f333(f333(f18(a1,f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f882(f881(a1,a1),f881(a1,a1))),f882(f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),a1),f18(a1,f881(a1,a1),f881(a1,a1))),f333(f333(f8(f882(a1,f881(a1,a1)),f882(a1,f882(f881(a1,a1),f881(a1,a1))),a1),f333(f18(a1,f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),f333(f333(f8(a870,f882(f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),a1),f99(f881(a1,a1))),f333(f333(f8(a1,a870,a1),f333(f247(a1),f2(a1))),f333(f333(f7(a1,a1,a1),f22(a1)),x44711))))),f333(f333(f7(a1,f882(a1,a1),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f881(a1,a1)),f882(f882(a1,a1),f882(a1,f881(a1,a1))),a1),f8(a1,f881(a1,a1),a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f333(f333(f7(a1,a1,a1),f333(f333(f8(a1,f882(a1,a1),a1),f79(a1)),f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f77(a1))))),f333(f333(f7(a1,a1,a1),f22(a1)),x44711))))),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))),f43(x44711)) % 183.16/183.17 [3133]P92(f880(x31331,x31332)) % 183.16/183.17 [3134]P92(f881(x31341,x31342)) % 183.16/183.17 [3135]P102(f880(x31351,x31352)) % 183.16/183.17 [3136]P102(f881(x31361,x31362)) % 183.16/183.17 [3153]P28(a1,f181(x31531,x31532)) % 183.16/183.17 [3154]P37(x31541,f154(x31541,x31542)) % 183.16/183.17 [3220]P31(x32201,x32202,f116(x32201)) % 183.16/183.17 [3254]P39(x32541,x32542,f265(x32541,x32542)) % 183.16/183.17 [3255]P49(x32551,x32551,f265(x32551,x32552)) % 183.16/183.17 [3532]P20(x35321,x35321,f5(x35321),x35322) % 183.16/183.17 [3533]P20(x35331,x35331,f33(x35331),x35332) % 183.16/183.17 [3541]P32(x35411,x35412,f116(x35411),f116(x35411)) % 183.16/183.17 [3542]P20(x35421,f879(x35421),f240(x35421),x35422) % 183.16/183.17 [3551]P20(f876(x35511),f876(x35511),f170(x35511),x35512) % 183.16/183.17 [4482]~E(f32(x44821,x44822),a24) % 183.16/183.17 [4483]~E(f31(x44831,x44832),a24) % 183.16/183.17 [4512]~P33(x45121,x45122,f116(x45121)) % 183.16/183.17 [4513]~P35(x45131,x45132,f116(x45131)) % 183.16/183.17 [3118]E(f333(f5(x31181),x31182),x31182) % 183.16/183.17 [3119]E(f333(f253(x31191),x31192),x31192) % 183.16/183.17 [3121]E(f333(f33(x31211),x31212),x31212) % 183.16/183.17 [3131]E(f333(f199(x31311),x31312),f118(x31311)) % 183.16/183.17 [3151]E(f84(x31511,f333(a330,x31512)),x31512) % 183.16/183.17 [3152]E(f89(x31521,f333(a330,x31522)),x31522) % 183.16/183.17 [3173]E(f333(f137(x31731,x31732),f116(x31731)),f116(x31731)) % 183.16/183.17 [3193]E(f309(x31931,f309(x31931,x31932)),f309(x31931,x31932)) % 183.16/183.17 [3194]E(f153(x31941,f153(x31941,x31942)),f153(x31941,x31942)) % 183.16/183.17 [3215]E(f333(f333(f135(x32151),x32152),f116(x32151)),x32152) % 183.16/183.17 [3221]E(f175(x32211,x32212,f116(x32211)),x32212) % 183.16/183.17 [3222]E(f175(x32221,f116(x32221),x32222),x32222) % 183.16/183.17 [3223]E(f171(x32231,f2(a875),x32232),f116(x32231)) % 183.16/183.17 [3229]E(f333(f333(f177(x32291),x32292),f116(x32291)),f116(x32291)) % 183.16/183.17 [3230]E(f333(f333(f139(x32301),x32302),f116(x32301)),f116(x32301)) % 183.16/183.17 [3232]E(f156(x32321,x32322,f116(x32321)),f2(a875)) % 183.16/183.17 [3233]E(f241(x32331,x32332,f209(x32331)),f2(a875)) % 183.16/183.17 [3235]E(f172(x32351,x32352,f116(x32351)),f116(x32351)) % 183.16/183.17 [3236]E(f179(x32361,x32362,f116(x32361)),f116(x32361)) % 183.16/183.17 [3237]E(f178(x32371,f116(x32371),x32372),f116(x32371)) % 183.16/183.17 [3241]E(f333(f174(x32411),f153(x32411,x32412)),f333(f174(x32411),x32412)) % 183.16/183.17 [3244]E(f333(f264(x32441,x32441),f265(x32441,x32442)),x32442) % 183.16/183.17 [3245]E(f333(f266(x32451,x32451),f265(x32451,x32452)),x32452) % 183.16/183.17 [3253]E(f333(f288(x32531,x32531),f265(x32531,x32532)),f265(x32531,x32532)) % 183.16/183.17 [3268]E(f309(f876(x32681),f158(x32681,x32682)),f159(x32681,f309(x32681,x32682))) % 183.16/183.17 [3270]P23(f333(f138(a1),f181(x32701,x32702))) % 183.16/183.17 [3278]E(f333(f264(x32781,x32781),f309(x32781,x32782)),f256(f882(x32781,a870))) % 183.16/183.17 [3279]E(f333(f266(x32791,x32791),f309(x32791,x32792)),f256(f882(x32791,a870))) % 183.16/183.17 [3283]P23(f333(f138(x32831),f153(x32831,x32832))) % 183.16/183.17 [3285]P23(f333(f161(x32851,x32852),f116(x32851))) % 183.16/183.17 [3293]E(f333(f174(a1),f181(x32931,x32932)),f304(a1,x32931,x32932)) % 183.16/183.17 [3308]P50(x33081,f196(f882(x33081,a870)),x33082) % 183.16/183.17 [3313]E(f333(f271(a1,a1),f45(x33131,x33132)),f44(a1,x33131,x33132)) % 183.16/183.17 [3314]E(f333(f303(a875,x33141),f333(a115,x33142)),f304(a875,x33141,x33142)) % 183.16/183.17 [3330]E(f333(f333(f152(x33301),x33302),f116(x33301)),f141(x33301,x33302,f116(x33301))) % 183.16/183.17 [3342]E(f304(a875,f333(a115,x33421),x33422),f306(a875,x33421,x33422)) % 183.16/183.17 [3345]P39(x33451,f256(f882(x33451,a870)),f309(x33451,x33452)) % 183.16/183.17 [3409]E(f333(f333(f22(a875),x34091),f333(a115,x34092)),f333(f37(a875),f307(a875,x34092,x34091))) % 183.16/183.17 [3468]E(f168(x34681,x34682,f116(x34681)),f333(f333(f268(f876(x34681),f876(x34681)),f116(x34681)),f116(x34681))) % 183.16/183.17 [3488]E(f333(f272(x34881,x34882,f881(x34881,x34882)),f268(x34881,x34882)),f33(f881(x34881,x34882))) % 183.16/183.17 [3493]P23(f333(f333(f335(f876(x34931)),f116(x34931)),f162(x34931,x34932))) % 183.16/183.17 [3494]E(f333(f197(f876(x34941)),f117(x34941,x34942)),f333(f333(f22(a875),f333(f197(f876(x34941)),x34942)),f77(a875))) % 183.16/183.17 [3502]P23(f333(f61(a875),f307(a875,x35021,x35022))) % 183.16/183.17 [3503]P23(f333(f61(a875),f306(a875,x35031,x35032))) % 183.16/183.17 [3504]P23(f333(f61(a875),f304(a875,x35041,x35042))) % 183.16/183.17 [3505]P23(f333(f61(a1),f307(a1,x35051,x35052))) % 183.16/183.17 [3506]P23(f333(f61(a1),f306(a1,x35061,x35062))) % 183.16/183.17 [3507]P23(f333(f61(a1),f304(a1,x35071,x35072))) % 183.16/183.17 [3612]E(f333(f312(a875,a875,a115),f304(a875,x36121,x36122)),f304(a875,f333(a115,x36121),f333(a115,x36122))) % 183.16/183.17 [3633]E(f333(f333(f290(x36331,x36331,x36331),f309(x36331,x36332)),f309(x36331,x36332)),f309(x36331,x36332)) % 183.16/183.17 [3667]E(f333(f333(f268(a1,a1),f333(f333(f38(a1),x36671),x36672)),f44(a1,x36671,x36672)),f45(x36671,x36672)) % 183.16/183.17 [3668]E(f333(f333(f268(a102,a102),f333(f333(f38(a102),x36681),x36682)),f44(a102,x36681,x36682)),f21(x36681,x36682)) % 183.16/183.17 [3697]E(f333(f333(f268(a875,a875),f333(f333(f38(a875),x36971),x36972)),f44(a875,x36971,x36972)),f84(f881(a875,a875),f47(x36971,x36972))) % 183.16/183.17 [3749]P23(f333(f333(f248(a875),f333(f333(f22(a875),x37491),x37492)),f333(a115,x37491))) % 183.16/183.17 [3851]E(f333(f333(f79(a1),f333(f333(f80(a1),x38511),f333(f333(f38(a1),x38512),x38511))),f44(a1,x38512,x38511)),x38512) % 183.16/183.17 [3855]E(f333(f333(f41(a875,f882(f881(f876(x38551),f876(x38551)),a870)),f256(f882(a875,a870))),f144(x38551,x38552)),f146(x38551,x38552)) % 183.16/183.17 [4086]P23(f333(f333(f335(f881(f876(x40861),f876(x40861))),f333(f333(f268(f876(x40861),f876(x40861)),f116(x40861)),f116(x40861))),f159(x40861,x40862))) % 183.16/183.17 [4204]E(f269(x42041,x42041,x42041,a330,f269(x42041,x42041,x42041,x42042,a330)),x42042) % 183.16/183.17 [4250]E(f273(x42501,x42501,x42502,x42502,f5(x42501),f5(x42502)),f33(f881(x42501,x42502))) % 183.16/183.17 [4252]E(f273(x42521,x42521,x42522,x42522,f33(x42521),f33(x42522)),f33(f881(x42521,x42522))) % 183.16/183.17 [4491]~E(f333(f240(x44911),x44912),f209(x44911)) % 183.16/183.17 [3213]E(f333(f244(x32131),f333(f240(x32131),x32132)),x32132) % 183.16/183.17 [3214]E(f333(f170(x32141),f333(f170(x32141),x32142)),x32142) % 183.16/183.17 [3216]E(f333(f333(f139(x32161),f2(a875)),x32162),x32162) % 183.16/183.17 [3231]E(f333(f333(f177(x32311),f2(a875)),x32312),f116(x32311)) % 183.16/183.17 [3239]E(f333(f333(f135(x32391),f116(x32391)),x32392),x32392) % 183.16/183.17 [3247]E(f333(f197(f879(x32471)),f333(f240(x32471),x32472)),f2(a875)) % 183.16/183.17 [3249]E(f39(f882(x32491,a870),f333(f310(x32491),x32492)),x32492) % 183.16/183.17 [3251]E(f333(f174(x32511),f333(f169(x32511),x32512)),f333(f174(x32511),x32512)) % 183.16/183.17 [3252]E(f333(f174(x32521),f333(f170(x32521),x32522)),f333(f174(x32521),x32522)) % 183.16/183.17 [3257]E(f333(f333(f22(a102),x32571),x32572),f333(f333(a23,x32571),x32572)) % 183.16/183.17 [3272]E(f333(f333(f79(a875),x32721),x32722),f333(f333(f79(a875),x32722),x32721)) % 183.16/183.17 [3273]E(f333(f333(f79(a1),x32731),x32732),f333(f333(f79(a1),x32732),x32731)) % 183.16/183.17 [3274]E(f333(f333(f80(a875),x32741),x32742),f333(f333(f80(a875),x32742),x32741)) % 183.16/183.17 [3275]E(f333(f333(f80(a1),x32751),x32752),f333(f333(f80(a1),x32752),x32751)) % 183.16/183.17 [3300]E(f333(f333(f191(x33001,x33001),f2(a875)),x33002),f33(x33001)) % 183.16/183.17 [3301]E(f333(f197(f876(x33011)),f333(f169(x33011),x33012)),f333(f197(f876(x33011)),x33012)) % 183.16/183.17 [3302]E(f333(f197(f876(x33021)),f333(f170(x33021),x33022)),f333(f197(f876(x33021)),x33022)) % 183.16/183.17 [3303]E(f178(x33031,x33032,f196(f882(a875,a870))),f116(x33031)) % 183.16/183.17 [3304]E(f333(f333(f155(x33041,x33041),f5(x33041)),x33042),x33042) % 183.16/183.17 [3306]E(f333(f267(a1,a1),f45(x33061,x33062)),f333(f333(f38(a1),x33061),x33062)) % 183.16/183.17 [3323]E(f333(f197(f876(x33231)),f153(x33231,x33232)),f333(f37(x33231),f333(f174(x33231),x33232))) % 183.16/183.17 [3324]E(f30(f31(x33241,x33242)),f333(f333(f79(a875),f30(x33242)),f333(a115,f2(a875)))) % 183.16/183.17 [3325]E(f333(f286(x33251),f333(f288(x33251,x33251),x33252)),f333(f286(x33251),x33252)) % 183.16/183.17 [3329]P23(f333(f61(x33291),f333(f174(x33291),x33292))) % 183.16/183.17 [3337]E(f333(f333(f79(a1),x33371),f333(f78(a1),x33372)),f333(f333(f22(a1),x33371),x33372)) % 183.16/183.17 [3344]P19(x33441,x33442,f196(f882(f874(x33441),a870))) % 183.16/183.17 [3346]E(f333(f312(x33461,x33461,f5(x33461)),x33462),x33462) % 183.16/183.17 [3347]E(f333(f312(x33471,x33471,f33(x33471)),x33472),x33472) % 183.16/183.17 [3348]E(f333(f313(x33481,x33481,f5(x33481)),x33482),x33482) % 183.16/183.17 [3349]E(f333(f313(x33491,x33491,f33(x33491)),x33492),x33492) % 183.16/183.17 [3350]P23(f333(f256(f882(x33501,a870)),x33502)) % 183.16/183.17 [3352]E(f333(f37(a875),f333(f303(a875,x33521),x33522)),f333(f333(f22(a875),x33522),x33521)) % 183.16/183.17 [3353]E(f333(f303(a875,f333(a115,x33531)),x33532),f307(a875,x33531,x33532)) % 183.16/183.17 [3366]E(f333(f333(f311(x33661),x33662),f196(f882(x33661,a870))),f333(f253(x33661),f333(a330,x33662))) % 183.16/183.17 [3370]E(f333(f333(f311(x33701),x33702),f196(f882(x33701,a870))),f239(x33701,f333(f240(x33701),x33702))) % 183.16/183.17 [3372]E(f309(x33721,f333(f288(x33721,x33721),x33722)),f333(f288(x33721,x33721),f309(x33721,x33722))) % 183.16/183.17 [3377]E(f333(f333(f79(a875),f333(a115,x33771)),x33772),f333(f333(f79(a875),x33771),f333(a115,x33772))) % 183.16/183.17 [3378]E(f333(f333(f22(a875),f333(a115,x33781)),f333(a115,x33782)),f333(f333(f22(a875),x33781),x33782)) % 183.16/183.17 [3384]E(f54(x33841,f2(a875),x33842),f333(f333(f152(f876(x33841)),f116(x33841)),f116(f876(x33841)))) % 183.16/183.17 [3385]E(f333(f37(a875),f306(a875,x33851,x33852)),f333(f333(f22(a875),x33852),x33851)) % 183.16/183.17 [3394]P37(x33941,f333(f333(f289(a875,x33941),a252),x33942)) % 183.16/183.17 [3396]P28(a875,f140(a875,f333(f303(a875,x33961),x33962))) % 183.16/183.17 [3398]P23(f333(f61(a875),f333(f303(a875,x33981),x33982))) % 183.16/183.17 [3399]P23(f333(f61(a1),f333(f303(a1,x33991),x33992))) % 183.16/183.17 [3402]E(f333(f288(f876(x34021),f876(x34021)),f158(x34021,x34022)),f158(x34021,f333(f288(x34021,x34021),x34022))) % 183.16/183.17 [3403]E(f333(f197(a871),f31(x34031,x34032)),f333(f333(f79(a875),f333(f197(a871),x34032)),f333(a115,f2(a875)))) % 183.16/183.17 [3405]E(f333(f303(a1,x34051),f333(f333(f79(a1),x34052),f77(a1))),f304(a1,x34051,x34052)) % 183.16/183.17 [3408]E(f333(f333(f38(a1),f333(f78(a1),x34081)),f333(f78(a1),x34082)),f333(f333(f38(a1),x34081),x34082)) % 183.16/183.17 [3416]E(f186(x34161,x34162,f333(f16(f879(x34162),x34161),f209(x34162))),f196(f882(x34161,a870))) % 183.16/183.17 [3417]E(f188(x34171,x34172,f333(f16(f879(x34172),x34171),f209(x34172))),f196(f882(x34172,a870))) % 183.16/183.17 [3418]E(f333(f333(f191(f881(x34181,x34181),a870),f77(a875)),x34182),x34182) % 183.16/183.17 [3420]E(f333(f333(f113(f882(x34201,a870)),x34202),f196(f882(x34201,a870))),x34202) % 183.16/183.17 [3421]E(f333(f333(f22(f882(x34211,a870)),x34212),f196(f882(x34211,a870))),x34212) % 183.16/183.17 [3422]E(f333(f333(f104(f882(x34221,a870)),x34222),f256(f882(x34221,a870))),x34222) % 183.16/183.17 [3423]E(f333(f267(a875,a875),f84(f881(a875,a875),f47(x34231,x34232))),f333(f333(f38(a875),x34231),x34232)) % 183.16/183.17 [3430]E(f315(x34301,f333(a20,x34302),f333(f78(a1),f333(a20,x34302))),f333(f333(f318(a1),x34301),x34302)) % 183.16/183.17 [3431]E(f304(a1,f333(f333(f79(a1),x34311),f77(a1)),x34312),f306(a1,x34311,x34312)) % 183.16/183.17 [3436]E(f333(f271(a875,a875),f84(f881(a875,a875),f47(x34361,x34362))),f44(a875,x34361,x34362)) % 183.16/183.17 [3444]E(f316(x34441,f333(a20,x34442),f333(f78(a1),f333(a20,x34442))),f317(a1,x34441,x34442)) % 183.16/183.17 [3447]P23(f333(f333(f335(x34471),x34472),f256(f882(x34471,a870)))) % 183.16/183.17 [3452]E(f333(f333(f22(a875),f333(a115,x34521)),x34522),f333(f37(a875),f304(a875,x34522,x34521))) % 183.16/183.17 [3479]E(f333(f333(f113(f882(x34791,a870)),x34792),f256(f882(x34791,a870))),f256(f882(x34791,a870))) % 183.16/183.17 [3480]E(f333(f333(f22(f882(x34801,a870)),x34802),f256(f882(x34801,a870))),f196(f882(x34801,a870))) % 183.16/183.17 [3481]E(f333(f333(f104(f882(x34811,a870)),x34812),f196(f882(x34811,a870))),f196(f882(x34811,a870))) % 183.16/183.17 [3497]E(f44(a1,f333(f103(a1),x34971),f333(f103(a1),x34972)),f333(f103(a1),f44(a875,x34971,x34972))) % 183.16/183.17 [3498]E(f44(a1,f333(f78(a1),x34981),f333(f78(a1),x34982)),f333(f78(a1),f44(a1,x34981,x34982))) % 183.16/183.17 [3509]E(f333(f197(f876(x35091)),f333(f173(x35091),x35092)),f333(f333(f22(a875),f333(f197(f876(x35091)),x35092)),f77(a875))) % 183.16/183.17 [3534]E(f333(f333(f38(a1),f44(a1,x35341,x35342)),x35342),f2(a1)) % 183.16/183.17 [3544]E(f333(a3,f44(a875,f333(a19,x35441),f333(a19,x35442))),f44(a102,x35441,x35442)) % 183.16/183.17 [3579]E(f333(a3,f333(f333(f22(a875),f333(a19,x35791)),f333(a19,x35792))),f333(f333(f22(a102),x35791),x35792)) % 183.16/183.17 [3580]E(f333(a3,f333(f333(f79(a875),f333(a19,x35801)),f333(a19,x35802))),f333(f333(f79(a102),x35801),x35802)) % 183.16/183.17 [3581]E(f333(a3,f333(f333(f80(a875),f333(a19,x35811)),f333(a19,x35812))),f333(f333(f80(a102),x35811),x35812)) % 183.16/183.17 [3582]E(f333(a3,f333(f333(f38(a875),f333(a19,x35821)),f333(a19,x35822))),f333(f333(f38(a102),x35821),x35822)) % 183.16/183.17 [3591]E(f333(f312(a875,a875,a115),f333(f303(a875,x35911),x35912)),f333(f303(a875,f333(a115,x35911)),f333(a115,x35912))) % 183.16/183.17 [3617]P23(f333(f47(x36171,x36172),f84(f881(a875,a875),f47(x36171,x36172)))) % 183.16/183.17 [3639]E(f333(f333(f79(a875),f333(f333(f79(a875),f30(x36391)),f30(x36392))),f333(a115,f2(a875))),f30(f32(x36391,x36392))) % 183.16/183.17 [3640]E(f44(a875,f333(a115,f44(a875,x36401,x36402)),x36402),f44(a875,f333(a115,x36401),x36402)) % 183.16/183.17 [3654]E(f333(f333(f42(f882(x36541,a870),f882(x36541,a870)),x36542),f5(f882(x36541,a870))),f40(f882(x36541,a870),x36542)) % 183.16/183.17 [3655]E(f333(f333(f41(f882(x36551,a870),f882(x36551,a870)),x36552),f5(f882(x36551,a870))),f39(f882(x36551,a870),x36552)) % 183.16/183.17 [3656]E(f333(f312(f876(x36561),f882(x36561,a870),f174(x36561)),f333(f174(f876(x36561)),f53(x36561,x36562))),f333(f310(x36561),f333(f174(x36561),x36562))) % 183.16/183.17 [3660]P23(f333(f333(f335(f882(x36601,a870)),x36602),f333(f310(x36601),x36602))) % 183.16/183.17 [3666]E(f44(a1,f333(f78(a1),f44(a1,x36661,x36662)),x36662),f44(a1,f333(f78(a1),x36661),x36662)) % 183.16/183.17 [3678]P23(f333(f333(f247(f882(x36781,a870)),x36782),f256(f882(x36781,a870)))) % 183.16/183.17 [3680]E(f333(f333(f290(x36801,x36801,x36801),f309(x36801,x36802)),f309(x36801,f309(x36801,x36802))),f309(x36801,x36802)) % 183.16/183.17 [3681]E(f333(f333(f113(f882(x36811,a870)),f333(f266(x36811,x36811),x36812)),f333(f264(x36811,x36811),x36812)),f333(f286(x36811),x36812)) % 183.16/183.17 [3702]E(f320(x37021,x37022,f256(f882(x37021,a870)),f256(f882(x37022,a870))),f256(f882(f880(x37021,x37022),a870))) % 183.16/183.17 [3754]P23(f333(f333(f247(a875),f44(a875,x37541,x37542)),x37541)) % 183.16/183.17 [3779]P23(f333(f333(f247(a1),f333(f78(a1),f333(f103(a1),x37791))),f333(f103(a1),x37792))) % 183.16/183.17 [3805]P23(f333(f333(f335(f882(x38051,a870)),f196(f882(x38051,a870))),f333(f310(x38051),x38052))) % 183.16/183.17 [3810]E(f309(x38101,f333(f333(f290(x38101,x38101,x38101),x38102),f309(x38101,x38102))),f309(x38101,x38102)) % 183.16/183.17 [3813]E(f333(f333(f290(x38131,x38131,x38131),f309(x38131,x38132)),x38132),f333(f333(f290(x38131,x38131,x38131),x38132),f309(x38131,x38132))) % 183.16/183.17 [3815]E(f333(a107,f333(f333(f79(a1),f333(f333(f22(a1),x38151),x38152)),f77(a1))),f333(f37(a1),f304(a1,x38152,x38151))) % 183.16/183.17 [3830]E(f333(f264(x38301,x38301),f333(f333(f290(x38301,x38301,x38301),x38302),f309(x38301,x38302))),f333(f264(x38301,x38301),x38302)) % 183.16/183.17 [3831]E(f333(f266(x38311,x38311),f333(f333(f290(x38311,x38311,x38311),x38312),f309(x38311,x38312))),f333(f266(x38311,x38311),x38312)) % 183.16/183.17 [3847]E(f333(f333(f79(a875),f333(f333(f79(a875),f333(f197(a871),x38471)),f333(f197(a871),x38472))),f333(a115,f2(a875))),f333(f197(a871),f32(x38471,x38472))) % 183.16/183.17 [3850]E(f333(f143(f876(x38501),f876(x38501),f135(x38501),f116(x38501)),f171(f876(x38501),x38502,f116(x38501))),f116(x38501)) % 183.16/183.17 [3859]P20(a875,a875,f333(f333(f7(a875,a875,a875),f79(a875)),x38591),x38592) % 183.16/183.17 [3861]P28(a875,f333(f170(a875),f333(f333(f155(f876(x38611),a875),f197(f876(x38611))),f182(x38611,x38612)))) % 183.16/183.17 [3908]P23(f333(f333(f248(a1),f333(f78(a1),f333(f103(a1),f333(a115,x39081)))),f333(f103(a1),x39082))) % 183.16/183.17 [3954]E(f333(f143(f876(x39541),x39541,f333(f7(x39541,f876(x39541),f876(x39541)),f152(x39541)),f116(x39541)),x39542),f333(f170(x39541),x39542)) % 183.16/183.17 [4006]P23(f333(f333(f247(f882(f881(f876(x40061),f876(x40061)),a870)),f159(x40061,x40062)),f309(f876(x40061),f158(x40061,x40062)))) % 183.16/183.17 [4038]P23(f333(f47(x40381,x40382),f333(f333(f268(a875,a875),f333(f333(f38(a875),x40381),x40382)),f44(a875,x40381,x40382)))) % 183.16/183.17 [4049]P23(f333(f333(f247(f882(f881(f876(x40491),f876(x40491)),a870)),f158(x40491,f309(x40491,x40492))),f309(f876(x40491),f158(x40491,x40492)))) % 183.16/183.17 [4276]E(f333(f333(f274(f881(a102,a102),a102,f881(a102,a102),f881(x42761,f881(a102,a102))),f278(f333(f167(a102),f333(f333(f155(f881(a102,x42761),a102),f267(a102,x42761)),x42762)))),f333(f333(f8(x42761,f882(f881(a102,a102),f881(x42761,f881(a102,a102))),a102),f268(x42761,f881(a102,a102))),f279(x42761,x42762))),f277(x42761,x42762)) % 183.16/183.17 [4387]E(f333(f242(a875,f881(x43871,f877(x43871)),f2(a875),f333(f272(x43871,f877(x43871),a875),f333(f16(f882(f877(x43871),a875),x43871),f333(f333(f7(f877(x43871),a875,a875),f333(f333(f8(a875,f882(a875,a875),f877(x43871)),f79(a875)),f197(f877(x43871)))),f77(a875))))),f333(f136(x43871),x43872)),f333(f197(f877(x43871)),x43872)) % 183.16/183.17 [4462]E(f333(f272(f882(f881(x44621,x44621),a870),f882(f881(x44621,x44621),a870),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f333(f333(f7(f882(f881(x44621,x44621),a870),f882(f882(f881(x44621,x44621),a870),f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870))),f882(f882(f881(x44621,x44621),a870),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870))))),f333(f333(f8(f882(f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870)),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f882(f882(f882(f881(x44621,x44621),a870),f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870))),f882(f882(f881(x44621,x44621),a870),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870))))),f882(f881(x44621,x44621),a870)),f8(f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870)),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870))),f882(f881(x44621,x44621),a870))),f333(f333(f8(f882(f882(x44622,x44621),f882(f882(f881(x44622,x44622),a870),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f882(f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870)),f882(f882(x44622,x44621),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f882(f881(x44621,x44621),a870)),f18(f882(x44622,x44621),f882(f881(x44622,x44622),a870),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f333(f333(f8(f882(f882(x44622,x44621),f882(f881(x44622,x44622),a870)),f882(f882(x44622,x44621),f882(f882(f881(x44622,x44622),a870),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f882(f881(x44621,x44621),a870)),f333(f8(f882(f881(x44622,x44622),a870),f882(f882(f881(x44622,x44622),a870),f881(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870))),f882(x44622,x44621)),f268(f882(f881(x44622,x44622),a870),f882(f881(x44622,x44622),a870)))),f289(x44621,x44622))))),f289(x44621,x44622))),f73(x44621,x44622)) % 183.16/183.17 [4538]~E(f333(f310(x45381),x45382),f196(f882(f882(x45381,a870),a870))) % 183.16/183.17 [4552]~P23(f333(f333(f335(x45521),x45522),f196(f882(x45521,a870)))) % 183.16/183.17 [4562]~P23(f333(f333(f248(f882(x45621,a870)),x45622),f196(f882(x45621,a870)))) % 183.16/183.17 [3355]E(f333(f333(f22(a875),x33551),f333(f333(f79(a875),x33551),x33552)),f2(a875)) % 183.16/183.17 [3358]E(f333(f333(f113(f882(x33581,a870)),x33582),x33582),x33582) % 183.16/183.17 [3359]E(f333(f333(f104(f882(x33591,a870)),x33592),x33592),x33592) % 183.16/183.17 [3387]E(f333(f333(f22(f882(x33871,a870)),x33872),x33872),f196(f882(x33871,a870))) % 183.16/183.17 [3390]E(f333(f144(x33901,x33902),f2(a875)),f196(f882(f881(f876(x33901),f876(x33901)),a870))) % 183.16/183.17 [3391]E(f333(f333(f79(a875),x33911),f333(a115,x33912)),f333(a115,f333(f333(f79(a875),x33911),x33912))) % 183.16/183.17 [3404]E(f203(f333(f103(a1),x34041),f333(f103(a1),x34042)),f333(f103(a1),f333(f333(f22(a875),x34041),x34042))) % 183.16/183.17 [3407]E(f333(f333(f38(a1),f333(f78(a1),x34071)),x34072),f333(f333(f38(a1),x34071),f333(f78(a1),x34072))) % 183.16/183.17 [3411]E(f333(f37(a1),f333(f303(a1,x34111),x34112)),f333(a107,f333(f333(f22(a1),x34112),x34111))) % 183.16/183.17 [3414]E(f333(f333(f79(a875),f333(a115,x34141)),x34142),f333(a115,f333(f333(f79(a875),x34141),x34142))) % 183.16/183.17 [3419]E(f333(f78(f882(x34191,a870)),f333(f78(f882(x34191,a870)),x34192)),x34192) % 183.16/183.17 [3433]E(f182(x34331,f333(f333(f152(f876(x34331)),f116(x34331)),x34332)),f182(x34331,x34332)) % 183.16/183.17 [3437]E(f333(f333(f79(a875),x34371),f333(f333(f80(a875),x34371),x34372)),f333(f333(f80(a875),x34371),f333(a115,x34372))) % 183.16/183.17 [3445]E(f333(f333(a23,f333(a3,x34451)),f333(a3,x34452)),f333(a3,f333(f333(f22(a875),x34451),x34452))) % 183.16/183.17 [3459]E(f333(f333(f80(a1),f333(f78(a1),x34591)),x34592),f333(f78(a1),f333(f333(f80(a1),x34591),x34592))) % 183.16/183.17 [3461]E(f333(f333(f258(a1),f333(f103(a1),x34611)),x34612),f333(f103(a1),f333(f333(f258(a875),x34611),x34612))) % 183.16/183.17 [3462]E(f333(f333(f79(a102),f333(a3,x34621)),f333(a3,x34622)),f333(a3,f333(f333(f79(a875),x34621),x34622))) % 183.16/183.17 [3463]E(f333(f333(f80(a102),f333(a3,x34631)),f333(a3,x34632)),f333(a3,f333(f333(f80(a875),x34631),x34632))) % 183.16/183.17 [3464]E(f333(f333(f245(a875),f333(a115,x34641)),f333(a115,x34642)),f333(a115,f333(f333(f245(a875),x34641),x34642))) % 183.16/183.17 [3465]E(f333(f333(f246(a875),f333(a115,x34651)),f333(a115,x34652)),f333(a115,f333(f333(f246(a875),x34651),x34652))) % 183.16/183.17 [3471]E(f333(f174(a875),f140(a875,f333(f303(a875,x34711),x34712))),f333(f303(a875,x34711),x34712)) % 183.16/183.17 [3472]E(f314(x34721,f333(f333(f311(x34721),x34722),f196(f882(x34721,a870)))),x34722) % 183.16/183.17 [3477]E(f333(f264(x34771,x34772),f196(f882(f881(x34771,x34772),a870))),f196(f882(x34772,a870))) % 183.16/183.17 [3478]E(f333(f266(x34781,x34782),f196(f882(f881(x34781,x34782),a870))),f196(f882(x34781,a870))) % 183.16/183.17 [3482]E(f333(a107,f333(f333(f22(a1),x34821),x34822)),f333(f37(a1),f306(a1,x34822,x34821))) % 183.16/183.17 [3487]E(f333(f333(f79(a875),x34871),f333(f333(f80(a875),x34872),x34871)),f333(f333(f80(a875),f333(a115,x34872)),x34871)) % 183.16/183.17 [3489]E(f333(f333(f60(x34891),f196(f882(x34891,a870))),x34892),f196(f882(f882(x34891,a870),a870))) % 183.16/183.17 [3499]E(f333(f197(f876(a875)),f140(a875,f333(f303(a875,x34991),x34992))),f333(f333(f22(a875),x34992),x34991)) % 183.16/183.17 [3514]E(f333(f333(f113(f882(x35141,a870)),f196(f882(x35141,a870))),x35142),x35142) % 183.16/183.17 [3515]E(f333(f333(f104(f882(x35151,a870)),f256(f882(x35151,a870))),x35152),x35152) % 183.16/183.17 [3518]E(f333(f333(f79(a1),f333(f78(a1),x35181)),f333(f78(a1),x35182)),f333(f78(a1),f333(f333(f79(a1),x35181),x35182))) % 183.16/183.17 [3521]E(f333(f333(f79(a1),f333(f103(a1),x35211)),f333(f103(a1),x35212)),f333(f103(a1),f333(f333(f79(a875),x35211),x35212))) % 183.16/183.17 [3522]E(f333(f333(f79(a1),f333(f106(a1),x35221)),f333(f106(a1),x35222)),f333(f106(a1),f333(f333(f79(a1),x35221),x35222))) % 183.16/183.17 [3524]E(f333(f333(f80(a1),f333(f103(a1),x35241)),f333(f103(a1),x35242)),f333(f103(a1),f333(f333(f80(a875),x35241),x35242))) % 183.16/183.17 [3525]E(f333(f333(f80(a1),f333(f106(a1),x35251)),f333(f106(a1),x35252)),f333(f106(a1),f333(f333(f80(a1),x35251),x35252))) % 183.16/183.17 [3526]E(f333(f333(f38(a1),f333(f103(a1),x35261)),f333(f103(a1),x35262)),f333(f103(a1),f333(f333(f38(a875),x35261),x35262))) % 183.16/183.17 [3545]E(f333(f333(f6(x35451,a875),f333(f16(a875,x35451),f77(a875))),x35452),f333(f37(x35451),x35452)) % 183.16/183.17 [3552]E(f333(f78(a1),f44(a1,f333(f78(a1),x35521),x35522)),f44(a1,x35521,f333(f78(a1),x35522))) % 183.16/183.17 [3554]E(f333(f174(a1),f181(x35541,f333(f333(f22(a1),x35542),f77(a1)))),f333(f303(a1,x35541),x35542)) % 183.16/183.17 [3558]P23(f333(f333(f247(a875),x35581),f333(f333(f79(a875),x35582),x35581))) % 183.16/183.17 [3559]P23(f333(f333(f247(a875),x35591),f333(f333(f79(a875),x35591),x35592))) % 183.16/183.17 [3562]E(f333(f333(f113(f882(x35621,a870)),f256(f882(x35621,a870))),x35622),f256(f882(x35621,a870))) % 183.16/183.17 [3563]E(f333(f333(f22(f882(x35631,a870)),f196(f882(x35631,a870))),x35632),f196(f882(x35631,a870))) % 183.16/183.17 [3564]E(f333(f333(f104(f882(x35641,a870)),f196(f882(x35641,a870))),x35642),f196(f882(x35641,a870))) % 183.16/183.17 [3571]E(f333(f333(f268(a1,a1),x35711),f333(f78(a1),x35712)),f333(a50,f333(f333(f268(a1,a1),x35711),x35712))) % 183.16/183.17 [3572]E(f333(f303(a1,f333(f333(f79(a1),x35721),f77(a1))),x35722),f307(a1,x35721,x35722)) % 183.16/183.17 [3583]E(f333(f333(f80(a875),x35831),f333(f333(f38(a875),x35832),x35831)),f333(f333(f22(a875),x35832),f44(a875,x35832,x35831))) % 183.16/183.17 [3584]E(f333(f333(f80(a1),x35841),f333(f333(f38(a1),x35842),x35841)),f333(f333(f22(a1),x35842),f44(a1,x35842,x35841))) % 183.16/183.17 [3588]E(f333(f174(a1),f181(f333(f333(f79(a1),x35881),f77(a1)),x35882)),f306(a1,x35881,x35882)) % 183.16/183.17 [3592]P23(f333(f333(f247(f882(x35921,a870)),x35922),x35922)) % 183.16/183.17 [3595]E(f333(f333(f113(f882(x35951,a870)),x35952),f333(f78(f882(x35951,a870)),x35952)),f256(f882(x35951,a870))) % 183.16/183.17 [3596]E(f333(f333(f104(f882(x35961,a870)),x35962),f333(f78(f882(x35961,a870)),x35962)),f196(f882(x35961,a870))) % 183.16/183.17 [3604]E(f333(f333(f22(a875),f333(f333(f22(a875),x36041),f77(a875))),x36042),f333(f333(f22(a875),x36041),f333(a115,x36042))) % 183.16/183.17 [3609]E(f333(f333(f22(f882(x36091,a870)),f256(f882(x36091,a870))),x36092),f333(f78(f882(x36091,a870)),x36092)) % 183.16/183.17 [3610]E(f333(f333(f22(a1),f333(f106(a1),x36101)),f333(f106(a1),x36102)),f333(f106(a1),f333(f333(f79(a1),x36101),f333(f78(a1),x36102)))) % 183.16/183.17 [3623]E(f333(f174(a875),f140(a875,f333(f303(a875,x36231),f333(a115,x36232)))),f304(a875,x36231,x36232)) % 183.16/183.17 [3631]P23(f333(f333(f333(f333(a204,a24),x36311),x36312),x36311)) % 183.16/183.17 [3637]E(f333(f197(f876(f876(x36371))),f53(x36371,x36372)),f333(f333(f258(a875),f333(a115,f333(a115,f2(a875)))),f333(f197(f876(x36371)),x36372))) % 183.16/183.17 [3658]E(f333(f333(f191(f881(x36581,x36581),a870),f2(a875)),x36582),f309(x36581,f196(f882(f881(x36581,x36581),a870)))) % 183.16/183.17 [3662]P23(f333(f138(a875),f140(a875,f333(f303(a875,x36621),x36622)))) % 183.16/183.17 [3679]E(f333(f312(a1,a875,a107),f304(a1,f333(f103(a1),x36791),f333(f103(a1),x36792))),f304(a875,x36791,x36792)) % 183.16/183.17 [3689]E(f193(a875,f2(a875),f5(a875),f333(f333(f22(a875),x36891),x36892)),f333(f333(f22(a875),x36891),f333(a115,x36892))) % 183.16/183.17 [3690]E(f333(a107,f333(f333(f22(a1),x36901),f333(f333(f79(a1),x36902),f77(a1)))),f333(f37(a1),f307(a1,x36902,x36901))) % 183.16/183.17 [3726]E(f333(f333(f155(a875,a875),a115),f140(a875,f333(f303(a875,x37261),x37262))),f140(a875,f333(f303(a875,f333(a115,x37261)),f333(a115,x37262)))) % 183.16/183.17 [3734]E(f333(f174(a1),f181(f333(f333(f79(a1),x37341),f77(a1)),f333(f333(f22(a1),x37342),f77(a1)))),f307(a1,x37341,x37342)) % 183.16/183.17 [3745]P23(f333(f333(f247(f882(x37451,a870)),f196(f882(x37451,a870))),x37452)) % 183.16/183.17 [3750]E(f84(x37501,f333(f333(f7(x37501,x37501,a870),a330),x37502)),x37502) % 183.16/183.17 [3751]E(f89(x37511,f333(f333(f7(x37511,x37511,a870),a330),x37512)),x37512) % 183.16/183.17 [3755]E(f333(f174(a875),f140(a875,f333(f303(a875,f333(a115,x37551)),f333(a115,x37552)))),f306(a875,x37551,x37552)) % 183.16/183.17 [3782]E(f333(f333(f270(x37821,x37822),f256(f882(x37821,a870))),f333(f16(f882(x37822,a870),x37821),f256(f882(x37822,a870)))),f256(f882(f881(x37821,x37822),a870))) % 183.16/183.17 [3817]E(f333(f253(x38171),f333(f333(f8(a870,a870,x38171),a328),x38172)),f333(f78(f882(x38171,a870)),f333(f253(x38171),x38172))) % 183.16/183.17 [3820]E(f333(f253(x38201),f333(f333(f7(x38201,x38201,a870),a330),x38202)),f333(f333(f311(x38201),x38202),f196(f882(x38201,a870)))) % 183.16/183.17 [3827]E(f333(f333(f79(a1),f333(f333(f22(a1),x38271),x38272)),f333(f333(f22(a1),x38271),x38272)),f333(f333(f22(a1),f333(f333(f79(a1),x38271),x38271)),f333(f333(f79(a1),x38272),x38272))) % 183.16/183.17 [3828]E(f333(f333(f79(a1),f333(f333(f79(a1),x38281),x38281)),f333(f333(f79(a1),x38282),x38282)),f333(f333(f79(a1),f333(f333(f79(a1),x38281),x38282)),f333(f333(f79(a1),x38281),x38282))) % 183.16/183.17 [3844]P23(f333(f333(f247(a875),f333(f37(x38441),f333(f174(x38441),x38442))),f333(f197(f876(x38441)),x38442))) % 183.16/183.17 [3845]P23(f333(f333(f247(a875),f333(f197(f876(x38451)),f153(x38451,x38452))),f333(f197(f876(x38451)),x38452))) % 183.16/183.17 [3856]E(f333(f253(x38561),f333(f333(f7(x38561,f882(x38561,a870),a870),f335(x38561)),x38562)),x38562) % 183.16/183.17 [3872]E(f333(f333(f177(x38721),f333(f333(f22(a875),f333(f197(f876(x38721)),x38722)),f77(a875))),x38722),f117(x38721,x38722)) % 183.16/183.17 [3895]E(f193(a875,f2(a875),f333(f333(f8(a875,a875,a875),a115),f333(f245(a875),x38951)),x38952),f333(f333(f245(a875),f333(a115,x38951)),x38952)) % 183.16/183.17 [3899]E(f39(f882(x38991,a870),f333(f312(f882(f881(x38991,x38991),a870),f882(x38991,a870),f286(x38991)),x38992)),f333(f286(x38991),f39(f882(f881(x38991,x38991),a870),x38992))) % 183.16/183.17 [3900]E(f193(a875,f333(a115,x39001),f333(f333(f8(a875,a875,a875),a115),f333(f246(a875),x39001)),x39002),f333(f333(f246(a875),f333(a115,x39001)),x39002)) % 183.16/183.17 [3902]E(f333(f333(f268(a1,a1),f333(f333(f38(a1),f333(f74(a1),x39021)),f333(f74(a1),x39022))),f44(a1,f333(f74(a1),x39021),f333(f74(a1),x39022))),f52(x39021,x39022)) % 183.16/183.17 [3925]P23(f333(f333(f247(f882(f882(x39251,a870),a870)),x39252),f333(f310(x39251),f39(f882(x39251,a870),x39252)))) % 183.16/183.17 [3959]E(f333(f333(f41(x39591,f882(x39591,a870)),x39592),f333(f333(f7(x39591,f882(x39591,a870),f882(x39591,a870)),f311(x39591)),f196(f882(x39591,a870)))),x39592) % 183.16/183.17 [3960]E(f333(f333(f290(x39601,x39601,x39601),f333(f288(x39601,x39601),x39602)),f309(x39601,f333(f288(x39601,x39601),x39602))),f333(f288(x39601,x39601),f333(f333(f290(x39601,x39601,x39601),x39602),f309(x39601,x39602)))) % 183.16/183.17 [4029]E(f333(f174(x40291),f333(f143(f876(x40291),f876(x40291),f135(x40291),f116(x40291)),x40292)),f333(f333(f41(f876(x40291),f882(x40291,a870)),f333(f174(f876(x40291)),x40292)),f174(x40291))) % 183.16/183.17 [4062]E(f333(f333(f113(f882(f881(x40621,x40621),a870)),f309(x40621,f196(f882(f881(x40621,x40621),a870)))),f333(f333(f290(x40621,x40621,x40621),f309(x40621,x40622)),x40622)),f309(x40621,x40622)) % 183.16/183.17 [4096]E(f333(f333(f184(x40961,x40961),x40962),x40962),f333(f333(f155(x40961,f881(x40961,x40961)),f333(f333(f18(x40961,x40961,f881(x40961,x40961)),f268(x40961,x40961)),f5(x40961))),x40962)) % 183.16/183.17 [4213]E(f333(f143(a875,f876(x42131),f333(f7(f876(x42131),a875,a875),f333(f333(f8(a875,f882(a875,a875),f876(x42131)),f246(a875)),f197(f876(x42131)))),f2(a875)),f333(f170(f876(x42131)),x42132)),f333(f197(f876(f876(x42131))),f182(x42131,x42132))) % 183.16/183.17 [4291]E(f333(f333(f289(f881(a875,f876(x42911)),f876(x42911)),f326(a875,f876(x42911),a252,f146(x42911,x42912))),f333(f333(f18(f876(x42911),f876(x42911),f881(a875,f876(x42911))),f333(f333(f8(a875,f882(f876(x42911),f881(a875,f876(x42911))),f876(x42911)),f268(a875,f876(x42911))),f197(f876(x42911)))),f5(f876(x42911)))),f147(x42911,x42912)) % 183.16/183.17 [4421]E(f333(f253(x44211),f333(f333(f8(f882(f882(x44211,a870),a870),a870,x44211),f87(f882(x44211,a870))),f333(f333(f8(f882(f882(x44211,a870),a870),f882(f882(x44211,a870),a870),x44211),f333(f18(f882(x44211,a870),a870,a870),f333(f333(f8(a870,f882(a870,a870),f882(x44211,a870)),a336),f333(f333(f7(f882(x44211,a870),f882(f882(x44211,a870),a870),a870),f335(f882(x44211,a870))),x44212)))),f335(x44211)))),f40(f882(x44211,a870),x44212)) % 183.16/183.17 [4563]~P23(f333(f333(f248(a1),f333(f103(a1),x45631)),f333(f78(a1),f333(f103(a1),x45632)))) % 183.16/183.17 [4580]~P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x45801),x45801)),a100)),f333(f333(f79(a1),x45802),x45802))) % 183.16/183.17 [3485]E(f333(f333(f22(a875),f333(f333(f79(a875),x34851),x34852)),x34852),x34851) % 183.16/183.17 [3486]E(f333(f333(f22(a875),f333(f333(f79(a875),x34861),x34862)),x34861),x34862) % 183.16/183.17 [3553]E(f333(f333(f79(a875),f333(f333(f22(a875),x35531),x35532)),x35532),f333(f333(f246(a875),x35531),x35532)) % 183.16/183.17 [3665]E(f333(f333(f80(a875),f333(f333(f38(a875),x36651),x36652)),x36652),f333(f333(f22(a875),x36651),f44(a875,x36651,x36652))) % 183.16/183.17 [3694]E(f333(f174(a875),f140(a875,f333(f303(a875,f333(a115,x36941)),x36942))),f307(a875,x36941,x36942)) % 183.16/183.17 [3701]E(f333(f103(a1),f228(f333(a107,f333(f74(a1),x37011)),f333(a107,f333(f74(a1),x37012)))),f333(f333(a229,x37011),x37012)) % 183.16/183.17 [3703]E(f333(f333(f113(f882(x37031,a870)),f333(f78(f882(x37031,a870)),x37032)),x37032),f256(f882(x37031,a870))) % 183.16/183.17 [3704]E(f333(f333(f104(f882(x37041,a870)),f333(f78(f882(x37041,a870)),x37042)),x37042),f196(f882(x37041,a870))) % 183.16/183.17 [3722]P23(f333(f333(f247(a875),f333(f333(f22(a875),x37221),x37222)),x37221)) % 183.16/183.17 [3723]P23(f333(f333(f247(a875),f333(f333(f38(a875),x37231),x37232)),x37231)) % 183.16/183.17 [3747]P23(f333(f333(f248(a875),x37471),f333(a115,f333(f333(f79(a875),x37472),x37471)))) % 183.16/183.17 [3748]P23(f333(f333(f248(a875),x37481),f333(a115,f333(f333(f79(a875),x37481),x37482)))) % 183.16/183.17 [3766]E(f333(f333(f80(a875),f333(a107,f333(f74(a1),x37661))),f333(a107,f333(f74(a1),x37662))),f333(a107,f333(f74(a1),f333(f333(f80(a1),x37661),x37662)))) % 183.16/183.17 [3778]P23(f333(f333(f247(a1),f2(a1)),f333(f333(f258(a1),f333(f74(a1),x37781)),x37782))) % 183.16/183.17 [3849]E(f333(f287(f876(x38491),f876(x38491),f159(x38491,x38492)),f333(f333(f311(f876(x38491)),f116(x38491)),f196(f882(f876(x38491),a870)))),f333(f333(f311(f876(x38491)),f116(x38491)),f196(f882(f876(x38491),a870)))) % 183.16/183.17 [3870]E(f333(f333(f113(f882(f881(x38701,x38701),a870)),f309(x38701,x38702)),f309(x38701,f196(f882(f881(x38701,x38701),a870)))),f309(x38701,x38702)) % 183.16/183.17 [3885]E(f333(f333(f38(a1),f333(f106(a1),f333(f333(f79(a1),x38851),x38851))),f333(f106(a1),f333(f333(f79(a1),x38852),x38852))),f333(f333(f38(a1),f333(f106(a1),x38851)),f333(f106(a1),x38852))) % 183.16/183.17 [3949]E(f333(f333(f258(a1),x39491),f333(f106(a875),f333(f333(f79(a1),x39492),x39492))),f333(f333(f85(a1,a1),f333(f333(f258(a1),x39491),f333(f106(a875),x39492))),f333(f333(f18(a1,a1,a1),f80(a1)),f5(a1)))) % 183.16/183.17 [3955]E(f333(f253(f882(x39551,a870)),f333(f333(f7(f882(x39551,a870),f882(x39551,a870),a870),f247(f882(x39551,a870))),x39552)),f333(f310(x39551),x39552)) % 183.16/183.17 [3970]E(f333(f333(f155(a1,a875),a107),f333(f333(f135(a1),f333(f333(f155(a875,a1),f103(a1)),x39701)),f333(f333(f155(a875,a1),f103(a1)),x39702))),f333(f333(f135(a875),x39701),x39702)) % 183.16/183.17 [4005]E(f333(f312(a1,a1,f333(f333(f7(a1,a1,a1),f79(a1)),x40051)),f333(f303(a1,f2(a1)),f333(f333(f22(a1),x40052),x40051))),f333(f303(a1,x40051),x40052)) % 183.16/183.17 [4007]P41(x40071,f333(f333(f22(f882(f881(x40071,x40071),a870)),x40072),f309(x40071,f196(f882(f881(x40071,x40071),a870))))) % 183.16/183.17 [4027]E(f333(f197(f876(x40271)),f333(f143(f876(x40271),f876(x40271),f135(x40271),f116(x40271)),x40272)),f333(f167(a875),f333(f333(f155(f876(x40271),a875),f197(f876(x40271))),x40272))) % 183.16/183.17 [4032]P39(x40321,f256(f882(x40321,a870)),f333(f333(f113(f882(f881(x40321,x40321),a870)),x40322),f309(x40321,f196(f882(f881(x40321,x40321),a870))))) % 183.16/183.17 [4076]E(f193(a875,f2(a875),f333(f333(f8(a875,a875,a875),a115),f333(f333(f7(a875,a875,a875),f245(a875)),x40761)),x40762),f333(f333(f245(a875),x40762),f333(a115,x40761))) % 183.16/183.17 [4079]E(f193(a875,f333(a115,x40791),f333(f333(f8(a875,a875,a875),a115),f333(f333(f7(a875,a875,a875),f246(a875)),x40791)),x40792),f333(f333(f246(a875),x40792),f333(a115,x40791))) % 183.16/183.17 [4082]E(f333(f312(x40821,f876(x40821),f333(f333(f7(x40821,f876(x40821),f876(x40821)),f152(x40821)),f116(x40821))),x40822),f176(x40821,x40822,f333(f333(f311(f876(x40821)),f116(x40821)),f196(f882(f876(x40821),a870))))) % 183.16/183.17 [4083]E(f333(f333(f113(f882(f881(x40831,x40831),a870)),f333(f333(f290(x40831,x40831,x40831),x40832),f309(x40831,x40832))),f309(x40831,f196(f882(f881(x40831,x40831),a870)))),f309(x40831,x40832)) % 183.16/183.17 [4091]P23(f333(f333(f247(f882(f881(x40911,x40911),a870)),f265(x40911,x40912)),f333(f333(f270(x40911,x40911),x40912),f333(f16(f882(x40911,a870),x40911),x40912)))) % 183.16/183.17 [4094]E(f333(f312(a1,a875,a107),f333(f333(f113(f882(a1,a870)),f333(f312(a875,a1,f103(a1)),x40941)),f333(f312(a875,a1,f103(a1)),x40942))),f333(f333(f113(f882(a875,a870)),x40941),x40942)) % 183.16/183.17 [4095]E(f333(f312(a1,a875,a107),f333(f333(f104(f882(a1,a870)),f333(f312(a875,a1,f103(a1)),x40951)),f333(f312(a875,a1,f103(a1)),x40952))),f333(f333(f104(f882(a875,a870)),x40951),x40952)) % 183.16/183.17 [4099]E(f333(f253(x40991),f333(f333(f8(a870,a870,x40991),a328),f333(f333(f7(x40991,f882(x40991,a870),a870),f335(x40991)),x40992))),f333(f78(f882(x40991,a870)),x40992)) % 183.16/183.17 [4126]E(f333(f143(f876(x41261),f876(x41261),f135(x41261),f116(x41261)),f333(f333(f155(f876(x41261),f876(x41261)),f170(x41261)),f333(f170(f876(x41261)),x41262))),f333(f170(x41261),f333(f143(f876(x41261),f876(x41261),f135(x41261),f116(x41261)),x41262))) % 183.16/183.17 [4155]E(f333(f333(f41(a875,f882(f881(x41551,x41551),a870)),f256(f882(a875,a870))),f333(f333(f7(a875,f882(f881(x41551,x41551),a870),f882(f881(x41551,x41551),a870)),f191(f881(x41551,x41551),a870)),x41552)),f309(x41551,x41552)) % 183.16/183.17 [4175]E(f84(x41751,f333(f333(f8(f882(x41751,a870),a870,x41751),f333(a330,x41752)),f333(f333(f7(x41751,f882(x41751,a870),f882(x41751,a870)),f311(x41751)),f196(f882(x41751,a870))))),f314(x41751,x41752)) % 183.16/183.17 [4183]E(f333(f197(f876(x41831)),f153(x41831,f333(f143(f876(x41831),f876(x41831),f135(x41831),f116(x41831)),x41832))),f333(f37(x41831),f333(f333(f41(f876(x41831),f882(x41831,a870)),f333(f174(f876(x41831)),x41832)),f174(x41831)))) % 183.16/183.17 [4199]E(f333(f333(f113(f882(f881(x41991,x41991),a870)),x41992),f333(f333(f290(x41991,x41991,x41991),f333(f333(f290(x41991,x41991,x41991),x41992),f309(x41991,x41992))),x41992)),f333(f333(f290(x41991,x41991,x41991),x41992),f309(x41991,x41992))) % 183.16/183.17 [4223]P23(f333(f333(f247(f882(f881(x42231,x42231),a870)),f333(f333(f290(x42231,x42231,x42231),x42232),f309(x42231,x42232))),f333(f333(f270(x42231,x42231),f333(f286(x42231),x42232)),f333(f16(f882(x42231,a870),x42231),f333(f286(x42231),x42232))))) % 183.16/183.17 [4266]E(f333(f253(f876(x42661)),f333(f333(f7(f876(x42661),f882(x42661,a870),a870),f333(f333(f8(f882(x42661,a870),f882(f882(x42661,a870),a870),f876(x42661)),f247(f882(x42661,a870))),f174(x42661))),x42662)),f162(x42661,x42662)) % 183.16/183.17 [4278]E(f333(f157(f876(x42781),x42781,f116(x42781),f333(f333(f8(f876(x42781),f882(f876(x42781),f876(x42781)),x42781),f333(f7(f876(x42781),f876(x42781),f876(x42781)),f135(x42781))),f333(f333(f7(x42781,f876(x42781),f876(x42781)),f152(x42781)),f116(x42781)))),x42782),f333(f169(x42781),x42782)) % 183.16/183.17 [4320]P20(f882(x43201,x43202),f882(f881(x43201,x43202),a870),f333(f333(f8(f882(f881(x43201,x43202),a870),f882(f881(x43201,x43202),a870),f882(x43201,x43202)),f253(f881(x43201,x43202))),f333(f333(f8(f882(x43201,f882(x43202,a870)),f882(f881(x43201,x43202),a870),f882(x43201,x43202)),f272(x43201,x43202,a870)),f333(f8(x43202,f882(x43202,a870),x43201),f333(f7(x43202,x43202,a870),a330)))),f256(f882(f882(x43201,x43202),a870))) % 183.16/183.17 [4325]E(f44(a1,f333(f106(a1),f333(f333(f79(a1),x43251),x43251)),f333(f106(a1),f333(f333(f79(a1),x43252),x43252))),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a1,f333(f106(a1),x43251),f333(f106(a1),x43252)))) % 183.16/183.17 [4368]E(f333(f333(f41(x43681,f882(f881(x43681,x43681),a870)),x43682),f333(f333(f7(x43681,f882(f881(x43681,x43681),a870),f882(f881(x43681,x43681),a870)),f333(f333(f8(f881(x43681,x43681),f882(f882(f881(x43681,x43681),a870),f882(f881(x43681,x43681),a870)),x43681),f311(f881(x43681,x43681))),f333(f333(f18(x43681,x43681,f881(x43681,x43681)),f268(x43681,x43681)),f5(x43681)))),f196(f882(f881(x43681,x43681),a870)))),f265(x43681,x43682)) % 183.16/183.17 [4376]E(f214(x43761,f333(f333(f268(a1,a1),f333(f78(a1),f333(f333(f72(f881(a1,a1),a1,x43761,f267(a1,a1)),f224(x43761)),x43762))),f333(f333(f72(f881(a1,a1),a1,x43761,f271(a1,a1)),f224(x43761)),x43762))),f232(x43761,x43762)) % 183.16/183.17 [4457]E(f333(f253(f882(x44571,a870)),f333(f333(f8(f882(f882(x44571,a870),a870),a870,f882(x44571,a870)),f86(f882(x44571,a870))),f333(f333(f7(f882(x44571,a870),f882(f882(x44571,a870),a870),f882(f882(x44571,a870),a870)),f333(f333(f8(f882(f882(x44571,a870),f882(a870,a870)),f882(f882(f882(x44571,a870),a870),f882(f882(x44571,a870),a870)),f882(x44571,a870)),f18(f882(x44571,a870),a870,a870)),f333(f333(f8(f882(f882(x44571,a870),a870),f882(f882(x44571,a870),f882(a870,a870)),f882(x44571,a870)),f333(f8(a870,f882(a870,a870),f882(x44571,a870)),a331)),f333(f333(f7(f882(x44571,a870),f882(f882(x44571,a870),f882(x44571,a870)),f882(f882(x44571,a870),a870)),f333(f333(f8(f882(f882(x44571,a870),a870),f882(f882(f882(x44571,a870),f882(x44571,a870)),f882(f882(x44571,a870),a870)),f882(x44571,a870)),f8(f882(x44571,a870),a870,f882(x44571,a870))),a330)),f78(f882(x44571,a870)))))),f333(f333(f8(f882(f882(x44571,a870),a870),a870,f882(x44571,a870)),f333(f335(f882(x44571,a870)),x44572)),f310(x44571))))),f333(f310(x44571),f333(f78(f882(x44571,a870)),x44572))) % 183.16/183.17 [4560]~E(f333(f333(f79(a1),x45601),x45601),f333(f333(f22(a1),f333(f333(f79(a1),x45602),x45602)),a100)) % 183.16/183.17 [4566]~P23(f333(f333(f248(a875),f333(f333(f79(a875),x45661),x45662)),x45662)) % 183.16/183.17 [4567]~P23(f333(f333(f248(a875),f333(f333(f79(a875),x45671),x45672)),x45671)) % 183.16/183.17 [3783]E(f333(f333(f22(a875),x37831),f333(f333(f80(a875),f333(f333(f38(a875),x37831),x37832)),x37832)),f44(a875,x37831,x37832)) % 183.16/183.17 [3784]E(f333(f333(f22(a1),x37841),f333(f333(f80(a1),f333(f333(f38(a1),x37841),x37842)),x37842)),f44(a1,x37841,x37842)) % 183.16/183.17 [3818]E(f333(f333(f155(a875,x38181),f333(f166(x38181),x38182)),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(x38181)),x38182)))),x38182) % 183.16/183.17 [3881]E(f333(f287(x38811,x38811,f309(x38811,f196(f882(f881(x38811,x38811),a870)))),x38812),x38812) % 183.16/183.17 [4010]E(f309(x40101,f333(f333(f113(f882(f881(x40101,x40101),a870)),x40102),f309(x40101,f196(f882(f881(x40101,x40101),a870))))),f309(x40101,x40102)) % 183.16/183.17 [4011]E(f309(x40111,f333(f333(f22(f882(f881(x40111,x40111),a870)),x40112),f309(x40111,f196(f882(f881(x40111,x40111),a870))))),f309(x40111,x40112)) % 183.16/183.17 [4065]E(f333(f333(f22(a1),f333(f333(f22(a1),f333(f333(f79(a1),x40651),x40651)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x40652),x40652)),a100)),f333(f333(f79(a1),f333(f333(f22(a1),x40651),x40652)),f333(f333(f22(a1),x40651),x40652))) % 183.16/183.17 [4104]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f79(a1),x41041),x41042)),f333(f333(f79(a1),x41041),x41042))),a100),f333(f333(f79(a1),f333(f333(f79(a1),x41041),x41041)),f333(f333(f22(a1),f333(f333(f79(a1),x41042),x41042)),a100))) % 183.16/183.17 [4130]E(f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),x41301),x41301)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x41302),x41302)),a100)),f333(f333(f79(a1),f333(f333(f79(a1),x41301),f333(f333(f22(a1),x41302),a100))),f333(f333(f79(a1),x41301),f333(f333(f22(a1),x41302),a100)))) % 183.16/183.17 [4140]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),x41401),x41402)),f333(f333(f22(a1),x41401),x41402))),a100),f333(f333(f22(a1),f333(f333(f22(a1),f333(f333(f79(a1),x41401),x41401)),a100)),f333(f333(f79(a1),x41402),x41402))) % 183.16/183.17 [4141]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f79(a1),x41411),x41412)),f333(f333(f79(a1),x41411),x41412))),a100),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),x41411),x41411)),a100)),f333(f333(f79(a1),x41412),x41412))) % 183.16/183.17 [4196]E(f333(f103(a1),f333(f333(f38(a875),f333(f333(f80(a875),f333(a107,f333(f74(a1),x41961))),f333(a107,f333(f74(a1),x41962)))),f228(f333(a107,f333(f74(a1),x41961)),f333(a107,f333(f74(a1),x41962))))),f230(x41961,x41962)) % 183.16/183.17 [4243]E(f333(f333(f274(f881(a102,a102),a102,f881(a102,a102),f881(x42431,f881(a102,a102))),f278(f333(a3,f333(f197(f876(x42431)),x42432)))),f333(f333(f8(x42431,f882(f881(a102,a102),f881(x42431,f881(a102,a102))),a102),f268(x42431,f881(a102,a102))),f333(f333(f8(a875,x42431,a102),f333(f166(x42431),x42432)),a19))),f284(x42431,x42432)) % 183.16/183.17 [4326]E(f333(f143(a875,f876(x43261),f333(f7(f876(x43261),a875,a875),f333(f333(f8(a875,f882(a875,a875),f876(x43261)),f246(a875)),f197(f876(x43261)))),f2(a875)),f333(f170(f876(x43261)),f182(x43261,x43262))),f333(f197(f876(f876(x43261))),f333(f137(f876(x43261),f333(f333(f8(a870,a870,f876(x43261)),a328),f333(f333(f7(f876(x43261),f876(x43261),a870),a330),f116(x43261)))),x43262))) % 183.16/183.17 [4332]E(f333(f333(f41(a875,f882(x43321,a870)),f256(f882(a875,a870))),f333(f333(f7(a875,f882(a875,f882(x43321,a870)),f882(x43321,a870)),f333(f333(f8(f882(a875,a870),f882(f882(a875,f882(x43321,a870)),f882(x43321,a870)),a875),f41(a875,f882(x43321,a870))),f303(a875,f2(a875)))),x43322)),f333(f333(f41(a875,f882(x43321,a870)),f256(f882(a875,a870))),x43322)) % 183.16/183.17 [4352]P23(f333(f61(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),x43521)),f333(f333(f7(a875,a875,a870),f248(a875)),x43522))))) % 183.16/183.17 [4468]E(f333(f253(f881(f876(x44681),f876(x44681))),f333(f272(f876(x44681),f876(x44681),a870),f333(f333(f18(f876(x44681),f882(f876(x44681),a870),f882(f876(x44681),a870)),f333(f333(f8(f882(f876(x44681),f882(a870,a870)),f882(f882(f876(x44681),a870),f882(f876(x44681),a870)),f876(x44681)),f18(f876(x44681),a870,a870)),f333(f333(f8(f882(f876(x44681),a870),f882(f876(x44681),f882(a870,a870)),f876(x44681)),f333(f8(a870,f882(a870,a870),f876(x44681)),a332)),f333(f333(f7(f876(x44681),f882(f876(x44681),a875),f882(f876(x44681),a870)),f333(f333(f8(f882(a875,a870),f882(f882(f876(x44681),a875),f882(f876(x44681),a870)),f876(x44681)),f8(a875,a870,f876(x44681))),f333(f333(f8(a875,f882(a875,a870),f876(x44681)),f248(a875)),f197(f876(x44681))))),f197(f876(x44681)))))),f333(f333(f18(f876(x44681),f882(f876(x44681),a870),f882(f876(x44681),a870)),f333(f333(f8(f882(f876(x44681),f882(a870,a870)),f882(f882(f876(x44681),a870),f882(f876(x44681),a870)),f876(x44681)),f18(f876(x44681),a870,a870)),f333(f333(f8(f882(f876(x44681),a870),f882(f876(x44681),f882(a870,a870)),f876(x44681)),f333(f8(a870,f882(a870,a870),f876(x44681)),a331)),f333(f333(f7(f876(x44681),f882(f876(x44681),a875),f882(f876(x44681),a870)),f333(f333(f8(f882(a875,a870),f882(f882(f876(x44681),a875),f882(f876(x44681),a870)),f876(x44681)),f8(a875,a870,f876(x44681))),f333(f333(f8(a875,f882(a875,a870),f876(x44681)),a330),f197(f876(x44681))))),f197(f876(x44681)))))),f333(f333(f7(f876(x44681),f882(f881(f876(x44681),f876(x44681)),a870),f882(f876(x44681),a870)),f333(f333(f8(f882(f876(x44681),f882(f882(f881(f876(x44681),f876(x44681)),a870),a870)),f882(f882(f881(f876(x44681),f876(x44681)),a870),f882(f876(x44681),a870)),f876(x44681)),f7(f876(x44681),f882(f881(f876(x44681),f876(x44681)),a870),a870)),f333(f333(f8(f882(f876(x44681),f881(f876(x44681),f876(x44681))),f882(f876(x44681),f882(f882(f881(f876(x44681),f876(x44681)),a870),a870)),f876(x44681)),f333(f8(f881(f876(x44681),f876(x44681)),f882(f882(f881(f876(x44681),f876(x44681)),a870),a870),f876(x44681)),f335(f881(f876(x44681),f876(x44681))))),f268(f876(x44681),f876(x44681))))),f146(x44681,x44682)))))),f147(x44681,x44682)) % 183.16/183.17 [4573]~P23(f333(f333(f90(a1),f333(f333(f79(a1),x45731),x45731)),f333(f333(f22(a1),f333(f333(f79(a1),x45732),x45732)),a100))) % 183.16/183.17 [4133]E(f333(f333(f79(a1),f333(f333(f79(a1),f333(f333(f80(a1),x41331),x41332)),f333(f333(f80(a1),x41331),x41332))),x41332),f333(f333(f80(a1),f333(f333(f22(a1),f333(f333(f79(a1),x41331),x41331)),a100)),x41332)) % 183.16/183.17 [4241]E(f333(a107,f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x42411),x42412)),f196(f882(f881(a875,a875),a870)))))),f333(f333(f22(a875),x42411),x42412)) % 183.16/183.17 [4246]E(f333(f333(f290(x42461,x42461,x42461),f333(f333(f113(f882(f881(x42461,x42461),a870)),x42462),f309(x42461,f196(f882(f881(x42461,x42461),a870))))),f309(x42461,f333(f333(f113(f882(f881(x42461,x42461),a870)),x42462),f309(x42461,f196(f882(f881(x42461,x42461),a870)))))),f309(x42461,x42462)) % 183.16/183.17 [4284]E(f279(x42841,f333(f137(f881(a102,x42841),f333(f272(a102,x42841,a870),f333(f333(f8(a870,f882(x42841,a870),a102),f16(a870,x42841)),f333(f248(a102),f2(a102))))),x42842)),f279(x42841,x42842)) % 183.16/183.17 [4285]E(f277(x42851,f333(f137(f881(a102,x42851),f333(f272(a102,x42851,a870),f333(f333(f8(a870,f882(x42851,a870),a102),f16(a870,x42851)),f333(f248(a102),f2(a102))))),x42852)),f277(x42851,x42852)) % 183.16/183.17 [4287]E(f333(f78(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x42871),x42872)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x42872),x42871)),f196(f882(f881(a875,a875),a870)))))) % 183.16/183.17 [4344]E(f333(f333(f289(f876(a875),x43441),f146(a875,a252)),f333(f333(f7(x43441,f876(f882(x43441,a875)),f876(a875)),f333(f333(f8(f882(f882(x43441,a875),a875),f882(f876(f882(x43441,a875)),f876(a875)),x43441),f155(f882(x43441,a875),a875)),f333(f7(f882(x43441,a875),x43441,a875),f5(f882(x43441,a875))))),x43442)),f154(x43441,x43442)) % 183.16/183.17 [4365]E(f333(f333(f85(a1,a875),f333(f106(a1),f333(f333(f79(a1),x43651),a100))),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f2(a875))),f333(f333(f8(a875,a875,a1),a115),f333(f333(f8(a875,a875,a1),f333(f245(a875),x43652)),a107)))),f333(f333(f245(a875),f333(a115,x43652)),f333(f106(a875),x43651))) % 183.16/183.17 [4366]E(f333(f333(f85(a1,a875),f333(f106(a1),f333(f333(f79(a1),x43661),a100))),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f333(a115,x43662))),f333(f333(f8(a875,a875,a1),a115),f333(f333(f8(a875,a875,a1),f333(f246(a875),x43662)),a107)))),f333(f333(f246(a875),f333(a115,x43662)),f333(f106(a875),x43661))) % 183.16/183.17 [4386]E(f333(f143(f876(x43861),f876(x43861),f135(x43861),f116(x43861)),f333(f333(f155(f876(x43861),f876(x43861)),f157(f876(x43861),x43861,f116(x43861),f333(f333(f8(f876(x43861),f882(f876(x43861),f876(x43861)),x43861),f16(f876(x43861),f876(x43861))),f333(f333(f7(x43861,f876(x43861),f876(x43861)),f152(x43861)),f116(x43861))))),x43862)),f333(f333(f155(f876(x43861),x43861),f142(x43861)),f333(f137(f876(x43861),f333(f333(f8(a870,a870,f876(x43861)),a328),f333(f333(f7(f876(x43861),f876(x43861),a870),a330),f116(x43861)))),x43862))) % 183.16/183.17 [4449]E(f333(f272(a1,a1,a870),f333(f333(f7(a1,f882(a1,a870),f882(a1,a870)),f333(f333(f8(f882(a1,f882(a870,a870)),f882(f882(a1,a870),f882(a1,a870)),a1),f18(a1,a870,a870)),f333(f333(f8(f882(a1,a870),f882(a1,f882(a870,a870)),a1),f333(f8(a870,f882(a870,a870),a1),a331)),f333(f333(f8(f882(a1,a1),f882(a1,a870),a1),f333(f8(a1,a870,a1),f333(a330,x44491))),f333(f333(f8(a1,f882(a1,a1),a1),f79(a1)),f333(f80(a1),x44492)))))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),f333(a336,f333(f333(f248(a1),f2(a1)),x44492))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),f333(f333(f7(a1,a1,a870),f248(a1)),x44492))))),f333(f333(f8(a870,a870,a1),f333(a336,f333(a328,f333(f333(f248(a1),f2(a1)),x44492)))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f248(a1),x44492))),f333(f333(f7(a1,a1,a870),f247(a1)),f2(a1))))))),f48(x44491,x44492)) % 183.16/183.17 [4451]E(f333(f253(x44511),f333(f333(f8(f882(a875,a870),a870,x44511),f86(a875)),f333(f333(f7(x44511,f882(a875,a870),f882(a875,a870)),f333(f333(f8(f882(a875,f882(a870,a870)),f882(f882(a875,a870),f882(a875,a870)),x44511),f18(a875,a870,a870)),f333(f333(f8(f882(a875,a870),f882(a875,f882(a870,a870)),x44511),f333(f8(a870,f882(a870,a870),a875),a331)),f333(f333(f7(x44511,f882(a875,x44511),f882(a875,a870)),f333(f333(f8(f882(x44511,a870),f882(f882(a875,x44511),f882(a875,a870)),x44511),f8(x44511,a870,a875)),a330)),f333(f166(x44511),x44512))))),f333(f333(f7(a875,a875,a870),f248(a875)),f333(f197(f876(x44511)),x44512))))),f333(f174(x44511),x44512)) % 183.16/183.17 [4256]E(f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),x42561),a100)),x42562)),f333(f333(f22(a1),f333(f333(f79(a1),x42561),a100)),x42562))),a100),f333(f333(f22(a1),f333(f333(f79(a1),x42561),x42561)),f333(f333(f22(a1),f333(f333(f79(a1),x42562),x42562)),a100))) % 183.16/183.17 [4381]E(f333(f143(f876(f876(x43811)),f876(f876(x43811)),f135(f876(x43811)),f116(f876(x43811))),f333(f333(f155(f876(x43811),f876(f876(x43811))),f157(f876(f876(x43811)),x43811,f116(f876(x43811)),f333(f16(f882(f876(x43811),f876(f876(x43811))),x43811),f333(f333(f7(f876(x43811),f876(f876(x43811)),f876(f876(x43811))),f152(f876(x43811))),f116(f876(x43811)))))),x43812)),f333(f333(f155(f876(x43811),f876(x43811)),f173(x43811)),f333(f137(f876(x43811),f333(f333(f8(a870,a870,f876(x43811)),a328),f333(f333(f7(f876(x43811),f876(x43811),a870),a330),f116(x43811)))),x43812))) % 183.16/183.17 [4392]E(f333(f333(f85(a1,a875),f333(f106(a1),f333(f333(f79(a1),x43921),a100))),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f2(a875))),f333(f333(f8(a875,a875,a1),a115),f333(f333(f7(a1,a875,a875),f333(f333(f8(a875,f882(a875,a875),a1),f245(a875)),a107)),x43922)))),f333(f333(f245(a875),f333(f106(a875),x43921)),f333(a115,x43922))) % 183.16/183.17 [4393]E(f333(f333(f85(a1,a875),f333(f106(a1),f333(f333(f79(a1),x43931),a100))),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f333(a115,x43932))),f333(f333(f8(a875,a875,a1),a115),f333(f333(f7(a1,a875,a875),f333(f333(f8(a875,f882(a875,a875),a1),f246(a875)),a107)),x43932)))),f333(f333(f246(a875),f333(f106(a875),x43931)),f333(a115,x43932))) % 183.16/183.17 [4380]E(f333(f272(x43801,x43801,a870),f333(f333(f18(x43801,a870,f882(x43801,a870)),f333(f333(f8(f882(x43801,f882(a870,a870)),f882(a870,f882(x43801,a870)),x43801),f7(x43801,a870,a870)),f333(f333(f8(f882(x43801,a870),f882(x43801,f882(a870,a870)),x43801),f333(f8(a870,f882(a870,a870),x43801),a331)),a330))),x43802)),f265(x43801,x43802)) % 183.16/183.17 [4427]E(f333(f333(f38(a875),x44271),f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44272)),f333(f333(f38(a875),x44271),f333(a115,f333(a115,f333(a115,x44272))))) % 183.16/183.17 [4428]E(f44(a875,x44281,f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44282)),f44(a875,x44281,f333(a115,f333(a115,f333(a115,x44282))))) % 183.16/183.17 [4429]E(f44(a875,f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44291),x44292),f44(a875,f333(a115,f333(a115,f333(a115,x44291))),x44292)) % 183.16/183.17 [4442]E(f125(f333(x44421,f333(f333(f80(a102),f333(f106(a102),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44422))),f333(f212(x44421),x44422)) % 183.16/183.17 [4443]E(f333(f333(f38(a875),f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),x44431)),x44432),f333(f333(f38(a875),f333(a115,f333(a115,f333(a115,x44431)))),x44432)) % 183.16/183.17 [4492]~E(f32(x44921,x44922),f333(a25,x44923)) % 183.16/183.17 [4493]~E(f31(x44931,x44932),f333(a25,x44933)) % 183.16/183.17 [4494]~E(f333(a25,x44941),f32(x44942,x44943)) % 183.16/183.17 [4495]~E(f333(a25,x44951),f31(x44952,x44953)) % 183.16/183.17 [4508]~E(f29(x45081,x45082,x45083),a24) % 183.16/183.17 [4509]~E(f28(x45091,x45092,x45093),a24) % 183.16/183.17 [3195]E(f333(f200(x31951,x31952),x31953),f122(x31951,x31952)) % 183.16/183.17 [3217]E(f333(f211(x32171,x32172),x32173),f333(f127(x32171),x32172)) % 183.16/183.17 [3298]E(f333(f333(f155(x32981,x32982),x32983),f116(x32981)),f116(x32982)) % 183.16/183.17 [3299]E(f333(f333(f210(x32991,x32992),x32993),f209(x32991)),f209(x32992)) % 183.16/183.17 [3339]E(f333(f192(x33391,x33392,x33393),f2(a875)),x33392) % 183.16/183.17 [3341]E(f333(f333(f184(x33411,x33412),x33413),f116(x33412)),f116(f881(x33411,x33412))) % 183.16/183.17 [3356]E(f333(f197(f876(x33561)),f171(x33561,x33562,x33563)),x33562) % 183.16/183.17 [3376]E(f84(x33761,f62(x33761,x33762,x33763)),f333(f63(x33761,x33762),x33763)) % 183.16/183.17 [3380]E(f257(x33801,x33802,f257(x33802,x33801,x33803)),x33803) % 183.16/183.17 [3400]E(f333(f170(x34001),f171(x34001,x34002,x34003)),f171(x34001,x34002,x34003)) % 183.16/183.17 [3429]E(f141(x34291,x34292,f153(x34291,x34293)),f153(x34291,f141(x34291,x34292,x34293))) % 183.16/183.17 [3448]E(f333(f267(f876(x34481),f876(x34481)),f168(x34481,x34482,x34483)),f333(f137(x34481,x34482),x34483)) % 183.16/183.17 [3495]E(f333(f333(f152(x34951),x34952),f171(x34951,x34953,x34952)),f171(x34951,f333(a115,x34953),x34952)) % 183.16/183.17 [3527]E(f193(x35271,x35272,x35273,f2(a875)),x35272) % 183.16/183.17 [3528]E(f17(x35281,x35282,x35283,f2(a102)),x35282) % 183.16/183.17 [3535]E(f164(x35351,x35352,x35353,f116(x35351)),f116(x35352)) % 183.16/183.17 [3536]E(f165(x35361,x35362,x35363,f116(x35361)),f116(x35362)) % 183.16/183.17 [3543]E(f333(f333(f166(x35431),f333(f333(f152(x35431),x35432),x35433)),f2(a875)),x35432) % 183.16/183.17 [3573]E(f59(x35731,x35732,f116(x35731),x35733),f116(f881(x35731,x35732))) % 183.16/183.17 [3594]P20(x35941,x35942,x35943,f196(f882(x35941,a870))) % 183.16/183.17 [3756]E(f333(f72(x37561,x37562,x37561,x37563),f33(x37561)),x37563) % 183.16/183.17 [3940]P23(f333(f333(f335(f881(x39401,x39401)),f333(f333(f268(x39401,x39401),x39402),x39402)),f309(x39401,x39403))) % 183.16/183.17 [4574]~P23(f333(f333(f335(f881(f876(x45741),f876(x45741))),f333(f333(f268(f876(x45741),f876(x45741)),x45742),f116(x45741))),f146(x45741,x45743))) % 183.16/183.17 [4575]~P23(f333(f333(f335(f881(f876(x45751),f876(x45751))),f333(f333(f268(f876(x45751),f876(x45751)),x45752),f116(x45751))),f148(x45751,x45753))) % 183.16/183.17 [4576]~P23(f333(f333(f335(f881(f876(x45761),f876(x45761))),f333(f333(f268(f876(x45761),f876(x45761)),x45762),f116(x45761))),f158(x45761,x45763))) % 183.16/183.17 [4577]~P23(f333(f333(f335(f881(f876(x45771),f876(x45771))),f333(f333(f268(f876(x45771),f876(x45771)),f116(x45771)),x45772)),f146(x45771,x45773))) % 183.16/183.17 [4578]~P23(f333(f333(f335(f881(f876(x45781),f876(x45781))),f333(f333(f268(f876(x45781),f876(x45781)),f116(x45781)),x45782)),f158(x45781,x45783))) % 183.16/183.17 [3271]E(f333(f333(f213(x32711),x32712),x32713),f214(x32711,f227(x32712,x32713))) % 183.16/183.17 [3328]E(f333(f288(x33281,x33282),f333(f288(x33282,x33281),x33283)),x33283) % 183.16/183.17 [3351]E(f333(f333(f184(x33511,x33512),f116(x33511)),x33513),f116(f881(x33511,x33512))) % 183.16/183.17 [3354]E(f178(x33541,x33542,f333(f254(a875),x33543)),f333(f333(f177(x33541),x33543),x33542)) % 183.16/183.17 [3373]E(f153(x33731,f333(f137(x33731,x33732),x33733)),f333(f137(x33731,x33732),f153(x33731,x33733))) % 183.16/183.17 [3374]E(f333(f264(x33741,x33742),f333(f288(x33742,x33741),x33743)),f333(f266(x33742,x33741),x33743)) % 183.16/183.17 [3375]E(f333(f266(x33751,x33752),f333(f288(x33752,x33751),x33753)),f333(f264(x33752,x33751),x33753)) % 183.16/183.17 [3392]E(f333(f137(x33921,x33922),f333(f170(x33921),x33923)),f333(f170(x33921),f333(f137(x33921,x33922),x33923))) % 183.16/183.17 [3406]E(f333(f333(f139(x34061),x34062),f333(f173(x34061),x34063)),f333(f333(f139(x34061),f333(a115,x34062)),x34063)) % 183.16/183.17 [3424]E(f30(f28(x34241,x34242,x34243)),f333(f333(f79(a875),f30(x34243)),f333(a115,f2(a875)))) % 183.16/183.17 [3425]E(f333(f312(x34251,x34252,x34253),f196(f882(x34251,a870))),f196(f882(x34252,a870))) % 183.16/183.17 [3426]E(f333(f313(x34261,x34262,x34263),f196(f882(x34262,a870))),f196(f882(x34261,a870))) % 183.16/183.17 [3427]E(f333(f313(x34271,x34272,x34273),f256(f882(x34272,a870))),f256(f882(x34271,a870))) % 183.16/183.17 [3428]E(f333(f287(x34281,x34282,x34283),f196(f882(x34281,a870))),f196(f882(x34282,a870))) % 183.16/183.17 [3457]E(f333(f333(f311(x34571),x34572),f333(f174(x34571),x34573)),f333(f174(x34571),f141(x34571,x34572,x34573))) % 183.16/183.17 [3469]E(f241(x34691,x34692,f333(f240(x34691),x34693)),f333(f333(f79(a875),f333(x34692,x34693)),f333(a115,f2(a875)))) % 183.16/183.17 [3547]E(f333(f197(a871),f28(x35471,x35472,x35473)),f333(f333(f79(a875),f333(f197(a871),x35473)),f333(a115,f2(a875)))) % 183.16/183.17 [3548]E(f333(f312(f881(x35481,x35482),x35482,f271(x35481,x35482)),x35483),f333(f264(x35481,x35482),x35483)) % 183.16/183.17 [3549]E(f333(f312(f881(x35491,x35492),x35491,f267(x35491,x35492)),x35493),f333(f266(x35491,x35492),x35493)) % 183.16/183.17 [3565]E(f333(f174(x35651),f171(x35651,f333(a115,x35652),x35653)),f333(f333(f311(x35651),x35653),f196(f882(x35651,a870)))) % 183.16/183.17 [3622]E(f333(f333(f268(x36221,x36222),f333(f267(x36221,x36222),x36223)),f333(f271(x36221,x36222),x36223)),x36223) % 183.16/183.17 [3629]E(f333(f197(f877(x36291)),f128(x36291,x36292,x36293)),f333(f333(f79(a875),f333(f197(f877(x36291)),x36293)),f333(a115,f2(a875)))) % 183.16/183.17 [3632]E(f333(f333(f272(x36321,x36322,x36321),f16(x36321,x36322)),x36323),f333(f267(x36321,x36322),x36323)) % 183.16/183.17 [3652]E(f187(x36521,x36522,x36523,f333(f16(f879(x36522),x36521),f209(x36522))),x36523) % 183.16/183.17 [3653]E(f187(x36531,x36532,f333(f16(f879(x36532),x36531),f209(x36532)),x36533),x36533) % 183.16/183.17 [3710]E(f30(f29(x37101,x37102,x37103)),f333(f333(f79(a875),f333(f333(f79(a875),f30(x37102)),f30(x37103))),f333(a115,f2(a875)))) % 183.16/183.17 [3761]E(f333(f72(x37611,x37611,x37612,f33(x37611)),x37613),x37613) % 183.16/183.17 [3769]E(f333(f333(f135(x37691),f171(x37691,x37692,x37693)),f333(f333(f152(x37691),x37693),f116(x37691))),f333(f333(f152(x37691),x37693),f171(x37691,x37692,x37693))) % 183.16/183.17 [3873]E(f333(f197(a871),f29(x38731,x38732,x38733)),f333(f333(f79(a875),f333(f333(f79(a875),f333(f197(a871),x38732)),f333(f197(a871),x38733))),f333(a115,f2(a875)))) % 183.16/183.17 [3950]P23(f333(f333(f247(f882(x39501,a870)),f333(f174(x39501),f333(f137(x39501,x39502),x39503))),f333(f174(x39501),x39503))) % 183.16/183.17 [3995]P23(f333(f333(f247(f882(x39951,a870)),f333(f174(x39951),f333(f333(f177(x39951),x39952),x39953))),f333(f174(x39951),x39953))) % 183.16/183.17 [3996]P23(f333(f333(f247(f882(x39961,a870)),f333(f174(x39961),f333(f333(f139(x39961),x39962),x39963))),f333(f174(x39961),x39963))) % 183.16/183.17 [4001]P23(f333(f333(f247(f882(x40011,a870)),f333(f174(x40011),f178(x40011,x40012,x40013))),f333(f174(x40011),x40012))) % 183.16/183.17 [4002]P23(f333(f333(f247(f882(x40021,a870)),f333(f174(x40021),f172(x40021,x40022,x40023))),f333(f174(x40021),x40023))) % 183.16/183.17 [4025]P20(f881(x40251,x40252),f881(x40252,x40251),f333(f272(x40251,x40252,f881(x40252,x40251)),f333(f7(x40252,x40251,f881(x40252,x40251)),f268(x40252,x40251))),x40253) % 183.16/183.17 [4037]E(f333(f333(f333(f191(f876(x40371),f876(x40371)),f44(a875,x40372,f333(f197(f876(x40371)),x40373))),f169(x40371)),x40373),f333(f333(f333(f191(f876(x40371),f876(x40371)),x40372),f169(x40371)),x40373)) % 183.16/183.17 [4080]P23(f333(f333(f335(f881(f876(x40801),f876(x40801))),f333(f333(f268(f876(x40801),f876(x40801)),x40802),x40802)),f159(x40801,f309(x40801,x40803)))) % 183.16/183.17 [4226]E(f84(f881(x42261,x42262),f333(f333(f18(f881(x42261,x42262),x42262,a870),f333(f333(f8(x42261,f882(x42262,a870),f881(x42261,x42262)),x42263),f267(x42261,x42262))),f271(x42261,x42262))),f84(f881(x42261,x42262),f333(f272(x42261,x42262,a870),x42263))) % 183.16/183.17 [4227]E(f89(f881(x42271,x42272),f333(f333(f18(f881(x42271,x42272),x42272,a870),f333(f333(f8(x42271,f882(x42272,a870),f881(x42271,x42272)),x42273),f267(x42271,x42272))),f271(x42271,x42272))),f89(f881(x42271,x42272),f333(f272(x42271,x42272,a870),x42273))) % 183.16/183.17 [4263]E(f333(f333(f289(f881(a875,x42631),x42631),f326(a875,x42631,a252,x42632)),f333(f333(f18(x42631,x42631,f881(a875,x42631)),f333(f333(f8(a875,f882(x42631,f881(a875,x42631)),x42631),f268(a875,x42631)),x42633)),f5(x42631))),f327(x42631,x42633,x42632)) % 183.16/183.17 [4328]E(f333(f273(x43281,x43281,x43282,x43282,f5(x43281),f5(x43282)),x43283),x43283) % 183.16/183.17 [4403]E(f333(f143(f876(f876(x44031)),f876(f876(x44031)),f135(f876(x44031)),f116(f876(x44031))),f333(f333(f155(f876(x44031),f876(f876(x44031))),f333(f333(f7(f876(x44031),f876(x44031),f876(f876(x44031))),f333(f333(f8(f882(x44031,f876(x44031)),f882(f876(x44031),f876(f876(x44031))),f876(x44031)),f155(x44031,f876(x44031))),f333(f7(x44031,f876(x44031),f876(x44031)),f152(x44031)))),x44032)),f54(x44031,x44033,x44032))),f54(x44031,f333(a115,x44033),x44032)) % 183.16/183.17 [4464]E(f333(f242(a875,f881(x44641,f877(x44641)),f2(a875),f333(f272(x44641,f877(x44641),a875),f333(f333(f7(x44641,a875,f882(f877(x44641),a875)),f333(f333(f8(f882(f877(x44641),f882(a875,a875)),f882(a875,f882(f877(x44641),a875)),x44641),f7(f877(x44641),a875,a875)),f333(f333(f8(f882(f877(x44641),a875),f882(f877(x44641),f882(a875,a875)),x44641),f333(f8(a875,f882(a875,a875),f877(x44641)),f79(a875))),f333(f333(f7(x44641,f882(f877(x44641),a875),f882(f877(x44641),a875)),f333(f333(f8(f882(a875,a875),f882(f882(f877(x44641),a875),f882(f877(x44641),a875)),x44641),f8(a875,a875,f877(x44641))),f333(f333(f8(a875,f882(a875,a875),x44641),f79(a875)),x44642))),f130(x44641,x44642))))),f77(a875)))),f333(f136(x44641),x44643)),f333(f130(x44641,x44642),x44643)) % 183.16/183.17 [4467]E(f333(f333(f85(a1,x44671),f230(f333(f333(f72(f881(a1,a1),a1,x44671,f271(a1,a1)),f224(x44671)),x44672),f333(f333(f72(f881(a1,a1),a1,x44671,f271(a1,a1)),f224(x44671)),x44673))),f333(f333(f18(a1,a1,x44671),f333(f333(f8(a1,f882(a1,x44671),a1),f213(x44671)),f333(f333(f18(a1,a1,a1),f333(f333(f8(a1,f882(a1,a1),a1),f79(a1)),f333(f333(f8(a1,a1,a1),f333(f80(a1),f333(f333(f72(f881(a1,a1),a1,x44671,f267(a1,a1)),f224(x44671)),x44672))),f333(f333(f7(a1,a1,a1),f38(a1)),f333(f333(f72(f881(a1,a1),a1,x44671,f271(a1,a1)),f224(x44671)),x44672))))),f333(f333(f8(a1,a1,a1),f333(f80(a1),f333(f333(f72(f881(a1,a1),a1,x44671,f267(a1,a1)),f224(x44671)),x44673))),f333(f333(f7(a1,a1,a1),f38(a1)),f333(f333(f72(f881(a1,a1),a1,x44671,f271(a1,a1)),f224(x44671)),x44673)))))),f5(a1))),f235(x44671,x44672,x44673)) % 183.16/183.17 [4504]~E(f333(f333(f152(x45041),x45042),x45043),x45043) % 183.16/183.17 [4511]~E(f333(f333(f152(x45111),x45112),x45113),f116(x45111)) % 183.16/183.17 [4527]~E(f333(f333(f311(x45271),x45272),x45273),f196(f882(x45271,a870))) % 183.16/183.17 [4550]~E(f333(f312(x45501,f882(x45501,a870),x45502),x45503),f333(f310(x45501),x45503)) % 183.16/183.17 [3333]E(f333(f333(f160(x33331,f116(x33331)),x33332),x33333),f116(x33331)) % 183.16/183.17 [3334]E(f333(f142(x33341),f333(f333(f152(x33341),x33342),x33343)),x33342) % 183.16/183.17 [3335]E(f333(f173(x33351),f333(f333(f152(x33351),x33352),x33353)),x33353) % 183.16/183.17 [3379]E(f333(f333(f139(x33791),f77(a875)),f333(f333(f152(x33791),x33792),x33793)),x33793) % 183.16/183.17 [3413]E(f117(x34131,f333(f333(f139(x34131),x34132),x34133)),f333(f333(f139(x34131),x34132),f117(x34131,x34133))) % 183.16/183.17 [3415]E(f333(f333(f160(x34151,x34152),x34153),f333(f333(f166(x34151),x34152),x34153)),x34152) % 183.16/183.17 [3439]E(f333(f333(f311(x34391),x34392),f333(f333(f311(x34391),x34392),x34393)),f333(f333(f311(x34391),x34392),x34393)) % 183.16/183.17 [3450]E(f333(f333(f180(x34501,x34502),f116(f881(x34501,x34502))),x34503),f209(x34502)) % 183.16/183.17 [3453]E(f333(f333(f311(x34531),x34532),f333(f174(x34531),x34533)),f333(f174(x34531),f333(f333(f152(x34531),x34532),x34533))) % 183.16/183.17 [3455]E(f333(f333(f139(x34551),x34552),f333(f173(x34551),x34553)),f333(f173(x34551),f333(f333(f139(x34551),x34552),x34553))) % 183.16/183.17 [3466]E(f333(f333(f177(x34661),f77(a875)),f333(f333(f152(x34661),x34662),x34663)),f333(f333(f152(x34661),x34662),f116(x34661))) % 183.16/183.17 [3512]E(f333(f63(x35121,x35122),f333(f333(f311(x35121),x35123),f196(f882(x35121,a870)))),x35123) % 183.16/183.17 [3555]E(f333(f333(f79(a875),x35551),f333(f333(f79(a875),x35552),x35553)),f333(f333(f79(a875),x35552),f333(f333(f79(a875),x35551),x35553))) % 183.16/183.17 [3556]E(f333(f333(f79(a1),x35561),f333(f333(f79(a1),x35562),x35563)),f333(f333(f79(a1),x35562),f333(f333(f79(a1),x35561),x35563))) % 183.16/183.17 [3561]E(f333(f333(f270(x35611,x35612),f196(f882(x35611,a870))),x35613),f196(f882(f881(x35611,x35612),a870))) % 183.16/183.17 [3586]E(f333(f333(f113(f882(x35861,a870)),x35862),x35863),f333(f333(f113(f882(x35861,a870)),x35863),x35862)) % 183.16/183.17 [3587]E(f333(f333(f104(f882(x35871,a870)),x35872),x35873),f333(f333(f104(f882(x35871,a870)),x35873),x35872)) % 183.16/183.17 [3589]E(f333(f333(f135(x35891),x35892),f333(f333(f152(x35891),x35893),f116(x35891))),f333(f169(x35891),f333(f333(f152(x35891),x35893),x35892))) % 183.16/183.17 [3590]E(f333(f333(f135(x35901),f333(f170(x35901),x35902)),f333(f170(x35901),x35903)),f333(f170(x35901),f333(f333(f135(x35901),x35903),x35902))) % 183.16/183.17 [3600]E(f333(f173(x36001),f333(f333(f177(x36001),f333(a115,x36002)),x36003)),f333(f333(f177(x36001),x36002),f333(f173(x36001),x36003))) % 183.16/183.17 [3607]P23(f333(f333(f335(x36071),x36072),f333(f333(f311(x36071),x36072),x36073))) % 183.16/183.17 [3611]E(f333(f333(f42(x36111,f882(x36112,a870)),f196(f882(x36111,a870))),x36113),f256(f882(x36112,a870))) % 183.16/183.17 [3614]E(f333(f287(x36141,x36141,f265(x36141,x36142)),x36143),f333(f333(f104(f882(x36141,a870)),x36142),x36143)) % 183.16/183.17 [3628]E(f333(f197(f876(x36281)),f333(f333(f152(x36281),x36282),x36283)),f333(f333(f79(a875),f333(f197(f876(x36281)),x36283)),f333(a115,f2(a875)))) % 183.16/183.17 [3634]E(f117(x36341,f333(f333(f135(x36341),x36342),f333(f333(f152(x36341),x36343),f116(x36341)))),x36342) % 183.16/183.17 [3635]E(f145(x36351,f333(f333(f135(x36351),x36352),f333(f333(f152(x36351),x36353),f116(x36351)))),x36353) % 183.16/183.17 [3641]E(f333(f333(f135(x36411),f333(f333(f177(x36411),x36412),x36413)),f333(f333(f139(x36411),x36412),x36413)),x36413) % 183.16/183.17 [3650]E(f333(f333(f22(a875),f333(f333(f79(a875),x36501),x36502)),f333(f333(f79(a875),x36503),x36502)),f333(f333(f22(a875),x36501),x36503)) % 183.16/183.17 [3651]E(f333(f333(f22(a875),f333(f333(f79(a875),x36511),x36512)),f333(f333(f79(a875),x36511),x36513)),f333(f333(f22(a875),x36512),x36513)) % 183.16/183.17 [3659]E(f333(f333(f135(x36591),f333(f170(x36591),x36592)),f333(f333(f152(x36591),x36593),f116(x36591))),f333(f170(x36591),f333(f333(f152(x36591),x36593),x36592))) % 183.16/183.17 [3661]E(f333(f333(f79(a875),f333(f197(f876(x36611)),x36612)),f333(f197(f876(x36611)),x36613)),f333(f197(f876(x36611)),f333(f333(f135(x36611),x36612),x36613))) % 183.16/183.17 [3664]E(f333(f333(f79(a875),f333(f197(f876(x36641)),x36642)),f333(f197(f876(x36641)),x36643)),f333(f197(f876(x36641)),f175(x36641,x36642,x36643))) % 183.16/183.17 [3672]E(f333(f333(f113(f882(x36721,a870)),f333(f174(x36721),x36722)),f333(f174(x36721),x36723)),f333(f174(x36721),f333(f333(f135(x36721),x36722),x36723))) % 183.16/183.17 [3673]E(f44(a875,f333(f333(f80(a875),x36731),x36732),f333(f333(f80(a875),x36731),x36733)),f333(f333(f80(a875),x36731),f44(a875,x36732,x36733))) % 183.16/183.17 [3686]E(f333(f333(f177(x36861),f333(f333(f22(a875),x36862),f77(a875))),f333(f173(x36861),x36863)),f333(f173(x36861),f333(f333(f177(x36861),x36862),x36863))) % 183.16/183.17 [3691]E(f333(f333(f104(f882(x36911,a870)),x36912),f333(f78(f882(x36911,a870)),x36913)),f333(f333(f22(f882(x36911,a870)),x36912),x36913)) % 183.16/183.17 [3692]E(f333(f333(f22(f882(x36921,a870)),x36922),f333(f78(f882(x36921,a870)),x36923)),f333(f333(f104(f882(x36921,a870)),x36922),x36923)) % 183.16/183.17 [3714]E(f333(f333(f270(x37141,x37142),x37143),f333(f16(f882(x37142,a870),x37141),f196(f882(x37142,a870)))),f196(f882(f881(x37141,x37142),a870))) % 183.16/183.17 [3716]E(f333(f333(f22(a875),f333(f333(f80(a875),x37161),x37162)),f333(f333(f80(a875),x37161),x37163)),f333(f333(f80(a875),x37161),f333(f333(f22(a875),x37162),x37163))) % 183.16/183.17 [3717]E(f333(f333(f79(a875),f333(f333(f80(a875),x37171),x37172)),f333(f333(f80(a875),x37171),x37173)),f333(f333(f80(a875),x37171),f333(f333(f79(a875),x37172),x37173))) % 183.16/183.17 [3718]E(f333(f333(f22(a1),f333(f333(f80(a1),x37181),x37182)),f333(f333(f80(a1),x37181),x37183)),f333(f333(f80(a1),x37181),f333(f333(f22(a1),x37182),x37183))) % 183.16/183.17 [3719]E(f333(f333(f79(a1),f333(f333(f80(a1),x37191),x37192)),f333(f333(f80(a1),x37191),x37193)),f333(f333(f80(a1),x37191),f333(f333(f79(a1),x37192),x37193))) % 183.16/183.17 [3720]E(f333(f333(f80(a1),f333(f333(f258(a1),x37201),x37202)),f333(f333(f258(a1),x37201),x37203)),f333(f333(f258(a1),x37201),f333(f333(f79(a875),x37202),x37203))) % 183.16/183.17 [3735]E(f333(f333(f41(x37351,f882(x37352,a870)),x37353),f333(f16(f882(x37352,a870),x37351),f196(f882(x37352,a870)))),f196(f882(x37352,a870))) % 183.16/183.17 [3737]E(f44(a875,f333(f333(f80(a875),x37371),x37372),f333(f333(f80(a875),x37373),x37372)),f333(f333(f80(a875),f44(a875,x37371,x37373)),x37372)) % 183.16/183.17 [3741]E(f44(a1,f333(f333(f22(a1),x37411),f44(a1,x37412,x37413)),x37413),f44(a1,f333(f333(f22(a1),x37411),x37412),x37413)) % 183.16/183.17 [3742]E(f44(a1,f333(f333(f80(a1),x37421),f44(a1,x37422,x37423)),x37423),f44(a1,f333(f333(f80(a1),x37421),x37422),x37423)) % 183.16/183.17 [3743]P23(f333(f333(f247(f882(x37431,a870)),x37432),f333(f333(f311(x37431),x37433),x37432))) % 183.16/183.17 [3746]E(f333(f312(f881(x37461,x37462),x37461,f267(x37461,x37462)),f333(f174(f881(x37461,x37462)),x37463)),f186(x37461,x37462,f333(f180(x37461,x37462),x37463))) % 183.16/183.17 [3797]P23(f333(f61(x37971),f186(x37971,x37972,f333(f180(x37971,x37972),x37973)))) % 183.16/183.17 [3822]E(f333(f333(f42(f882(x38221,a870),f882(x38221,a870)),x38222),f333(f113(f882(x38221,a870)),x38223)),f333(f333(f113(f882(x38221,a870)),x38223),f40(f882(x38221,a870),x38222))) % 183.16/183.17 [3823]E(f333(f333(f41(f882(x38231,a870),f882(x38231,a870)),x38232),f333(f104(f882(x38231,a870)),x38233)),f333(f333(f104(f882(x38231,a870)),x38233),f39(f882(x38231,a870),x38232))) % 183.16/183.17 [3834]E(f333(f174(x38341),f333(f333(f333(f191(f876(x38341),f876(x38341)),x38342),f169(x38341)),x38343)),f333(f174(x38341),x38343)) % 183.16/183.17 [3838]E(f333(f333(f177(x38381),f333(f197(f876(x38381)),f179(x38381,x38382,x38383))),x38383),f179(x38381,x38382,x38383)) % 183.16/183.17 [3839]E(f186(x38391,x38392,f333(f333(f8(x38392,f879(x38392),x38391),f240(x38392)),x38393)),f256(f882(x38391,a870))) % 183.16/183.17 [3843]E(f333(f197(f876(x38431)),f333(f333(f333(f191(f876(x38431),f876(x38431)),x38432),f169(x38431)),x38433)),f333(f197(f876(x38431)),x38433)) % 183.16/183.17 [3846]E(f333(f333(f272(x38461,x38462,x38462),f333(f16(f882(x38462,x38462),x38461),f5(x38462))),x38463),f333(f271(x38461,x38462),x38463)) % 183.16/183.17 [3853]E(f44(a1,f333(f333(f22(a1),f44(a1,x38531,x38532)),x38533),x38532),f44(a1,f333(f333(f22(a1),x38531),x38533),x38532)) % 183.16/183.17 [3854]E(f44(a1,f333(f333(f258(a1),f44(a1,x38541,x38542)),x38543),x38542),f44(a1,f333(f333(f258(a1),x38541),x38543),x38542)) % 183.16/183.17 [3857]E(f333(f333(f41(f882(f881(x38571,x38572),a870),f882(x38572,a870)),x38573),f264(x38571,x38572)),f333(f264(x38571,x38572),f39(f882(f881(x38571,x38572),a870),x38573))) % 183.16/183.17 [3858]E(f333(f333(f41(f882(f881(x38581,x38582),a870),f882(x38581,a870)),x38583),f266(x38581,x38582)),f333(f266(x38581,x38582),f39(f882(f881(x38581,x38582),a870),x38583))) % 183.16/183.17 [3886]E(f333(f72(x38861,x38861,x38861,x38862),f333(f333(f191(x38861,x38861),x38863),x38862)),f333(f333(f191(x38861,x38861),f333(a115,x38863)),x38862)) % 183.16/183.17 [3896]E(f242(f879(x38961),x38962,f209(x38961),f333(f333(f8(x38961,f879(x38961),x38962),f240(x38961)),x38963)),f333(f210(x38962,x38961),x38963)) % 183.16/183.17 [3903]E(f333(f333(f139(x39031),f333(f333(f22(a875),f333(f197(f876(x39031)),x39032)),x39033)),f333(f170(x39031),x39032)),f333(f170(x39031),f333(f333(f177(x39031),x39033),x39032))) % 183.16/183.17 [3904]E(f333(f333(f177(x39041),f333(f333(f22(a875),f333(f197(f876(x39041)),x39042)),x39043)),f333(f170(x39041),x39042)),f333(f170(x39041),f333(f333(f139(x39041),x39043),x39042))) % 183.16/183.17 [3907]E(f333(f333(f79(a875),f333(f167(a875),f333(f333(f155(x39071,a875),x39072),x39073))),f333(f197(f876(x39071)),x39073)),f156(x39071,x39072,x39073)) % 183.16/183.17 [3926]E(f333(f169(x39261),f333(f333(f333(f191(f876(x39261),f876(x39261)),x39262),f169(x39261)),x39263)),f333(f333(f333(f191(f876(x39261),f876(x39261)),f333(a115,x39262)),f169(x39261)),x39263)) % 183.16/183.17 [3941]P23(f333(f333(f247(a875),f333(f197(f876(x39411)),f333(f137(x39411,x39412),x39413))),f333(f197(f876(x39411)),x39413))) % 183.16/183.17 [3958]E(f333(f333(f113(f882(f882(x39581,a870),a870)),f333(f310(x39581),x39582)),f333(f312(f882(x39581,a870),f882(x39581,a870),f333(f311(x39581),x39583)),f333(f310(x39581),x39582))),f333(f310(x39581),f333(f333(f311(x39581),x39583),x39582))) % 183.16/183.17 [3977]P19(x39771,x39772,f333(f333(f311(f874(x39771)),f333(f333(f333(f91(x39771),x39773),a24),x39773)),f196(f882(f874(x39771),a870)))) % 183.16/183.17 [3992]P23(f333(f333(f247(a875),f333(f197(f876(x39921)),f179(x39921,x39922,x39923))),f333(f197(f876(x39921)),x39923))) % 183.16/183.17 [4000]E(f333(f266(x40001,x40002),f333(f253(f881(x40001,x40002)),f333(f272(x40001,x40002,a870),x40003))),f333(f253(x40001),f333(f333(f8(f882(x40002,a870),a870,x40001),f86(x40002)),x40003))) % 183.16/183.17 [4012]E(f333(f312(a875,a875,f333(f333(f7(a875,a875,a875),f79(a875)),x40121)),f304(a875,x40122,x40123)),f304(a875,f333(f333(f79(a875),x40122),x40121),f333(f333(f79(a875),x40123),x40121))) % 183.16/183.17 [4015]P23(f333(f61(f879(x40151)),f333(f312(x40152,f879(x40151),f333(f180(x40152,x40151),x40153)),f256(f882(x40152,a870))))) % 183.16/183.17 [4028]E(f333(f312(a875,a875,f333(f333(f7(a875,a875,a875),f79(a875)),x40281)),f333(f303(a875,x40282),x40283)),f333(f303(a875,f333(f333(f79(a875),x40282),x40281)),f333(f333(f79(a875),x40283),x40281))) % 183.16/183.17 [4046]E(f333(f333(f184(x40461,x40462),f333(f333(f155(f881(x40461,x40462),x40461),f267(x40461,x40462)),x40463)),f333(f333(f155(f881(x40461,x40462),x40462),f271(x40461,x40462)),x40463)),x40463) % 183.16/183.17 [4051]E(f333(f333(f79(a875),f333(f333(f80(a875),x40511),f44(a875,f333(f333(f38(a875),x40512),x40511),x40513))),f44(a875,x40512,x40511)),f44(a875,x40512,f333(f333(f80(a875),x40511),x40513))) % 183.16/183.17 [4066]E(f333(f333(f135(x40661),x40662),f333(f143(f876(x40661),f876(x40661),f135(x40661),f116(x40661)),x40663)),f333(f143(f876(x40661),f876(x40661),f135(x40661),x40662),x40663)) % 183.16/183.17 [4084]P23(f333(f333(f335(f881(x40841,x40841)),f333(f333(f268(x40841,x40841),x40842),x40842)),f333(f333(f191(f881(x40841,x40841),a870),f2(a875)),x40843))) % 183.16/183.17 [4090]E(f333(f253(x40901),f333(f333(f8(f882(x40902,a870),a870,x40901),f86(x40902)),f333(f7(x40902,x40901,a870),x40903))),f333(f264(x40902,x40901),f333(f253(f881(x40902,x40901)),f333(f272(x40902,x40901,a870),x40903)))) % 183.16/183.17 [4108]E(f333(f333(f113(f882(x41081,a870)),f333(f333(f41(a875,f882(x41081,a870)),f304(a875,f77(a875),x41082)),x41083)),f333(x41083,f2(a875))),f333(f333(f41(a875,f882(x41081,a870)),f333(f302(a875),x41082)),x41083)) % 183.16/183.17 [4123]E(f333(f143(f876(x41231),f876(x41231),f135(x41231),f116(x41231)),f333(f333(f155(f876(x41231),f876(x41231)),f137(x41231,x41232)),x41233)),f333(f137(x41231,x41232),f333(f143(f876(x41231),f876(x41231),f135(x41231),f116(x41231)),x41233))) % 183.16/183.17 [4128]E(f333(f271(f876(x41281),f876(x41281)),f168(x41281,x41282,x41283)),f333(f137(x41281,f333(f72(a870,a870,x41281,a328),x41282)),x41283)) % 183.16/183.17 [4146]E(f333(f333(f42(x41461,f882(x41462,a870)),f256(f882(x41461,a870))),f333(f333(f8(f882(x41462,a870),f882(x41462,a870),x41461),f253(x41462)),f333(f7(x41462,x41461,a870),x41463))),f333(f253(x41462),f333(f333(f8(f882(x41461,a870),a870,x41462),f87(x41461)),x41463))) % 183.16/183.17 [4177]E(f333(f333(f79(a1),f333(f333(f79(a1),f333(f333(f80(a1),x41771),f333(f333(f38(a1),x41772),x41771))),f44(a1,x41772,x41771))),x41773),f333(f333(f79(a1),x41772),x41773)) % 183.16/183.17 [4215]E(f333(f333(f79(a1),f333(f333(f79(a1),f333(f333(f80(a1),f333(f333(f38(a1),x42151),x42152)),x42152)),f44(a1,x42151,x42152))),x42153),f333(f333(f79(a1),x42151),x42153)) % 183.16/183.17 [4244]E(f84(f881(x42441,x42442),f333(f272(x42441,x42442,a870),f333(f333(f8(f882(x42442,f881(x42441,x42442)),f882(x42442,a870),x42441),f333(f8(f881(x42441,x42442),a870,x42442),x42443)),f268(x42441,x42442)))),f84(f881(x42441,x42442),x42443)) % 183.16/183.17 [4245]E(f89(f881(x42451,x42452),f333(f272(x42451,x42452,a870),f333(f333(f8(f882(x42452,f881(x42451,x42452)),f882(x42452,a870),x42451),f333(f8(f881(x42451,x42452),a870,x42452),x42453)),f268(x42451,x42452)))),f89(f881(x42451,x42452),x42453)) % 183.16/183.17 [4273]P23(f333(f333(f247(f882(x42731,a870)),f39(f882(x42731,a870),f333(f333(f104(f882(f882(x42731,a870),a870)),x42732),x42733))),f333(f333(f104(f882(x42731,a870)),f39(f882(x42731,a870),x42732)),f39(f882(x42731,a870),x42733)))) % 183.16/183.17 [4274]E(f333(f170(x42741),f333(f333(f333(f191(f876(x42741),f876(x42741)),f333(f333(f22(a875),f333(f197(f876(x42741)),x42742)),f44(a875,x42743,f333(f197(f876(x42741)),x42742)))),f169(x42741)),x42742)),f333(f333(f333(f191(f876(x42741),f876(x42741)),x42743),f169(x42741)),f333(f170(x42741),x42742))) % 183.16/183.17 [4288]E(f333(f253(x42881),f333(f333(f8(a870,a870,x42881),a328),f333(f333(f7(x42881,f879(x42882),a870),f333(f333(f8(f879(x42882),f882(f879(x42882),a870),x42881),a330),x42883)),f209(x42882)))),f186(x42881,x42882,x42883)) % 183.16/183.17 [4313]P23(f333(f333(f247(a875),f333(f197(f876(x43131)),f333(f333(f139(x43131),f333(f197(f876(x43131)),f179(x43131,x43132,x43133))),x43133))),f333(f197(f876(x43131)),x43133))) % 183.16/183.17 [4354]E(f333(f253(x43541),f333(f333(f8(f882(x43542,a870),a870,x43541),f86(x43542)),f333(f333(f8(f879(x43541),f882(x43542,a870),x43541),f333(f7(x43542,f879(x43541),a870),f333(f333(f8(f879(x43541),f882(f879(x43541),a870),x43542),a330),x43543))),f240(x43541)))),f188(x43542,x43541,x43543)) % 183.16/183.17 [4564]~P23(f333(f62(x45641,x45642,f196(f882(x45641,a870))),x45643)) % 183.16/183.17 [4572]~P23(f333(f333(f335(f881(x45721,x45721)),f333(f333(f268(x45721,x45721),x45722),x45723)),f154(x45721,f116(f882(x45721,a875))))) % 183.16/183.17 [3601]E(f333(f197(f876(x36011)),f333(f333(f177(x36011),x36012),x36013)),f333(f333(f245(a875),f333(f197(f876(x36011)),x36013)),x36012)) % 183.16/183.17 [3602]E(f333(f197(f876(x36021)),f333(f333(f139(x36021),x36022),x36023)),f333(f333(f22(a875),f333(f197(f876(x36021)),x36023)),x36022)) % 183.16/183.17 [3627]E(f333(f197(f876(f876(x36271))),f54(x36271,x36272,x36273)),f333(f333(f258(a875),f333(f197(f876(x36271)),x36273)),x36272)) % 183.16/183.17 [3643]E(f333(f333(f38(a875),f333(f333(f38(a875),x36431),x36432)),x36433),f333(f333(f38(a875),x36431),f333(f333(f80(a875),x36432),x36433))) % 183.16/183.17 [3644]E(f333(f333(f22(a875),f333(f333(f22(a875),x36441),x36442)),x36443),f333(f333(f22(a875),x36441),f333(f333(f79(a875),x36442),x36443))) % 183.16/183.17 [3645]E(f333(f333(f79(a875),f333(f333(f79(a875),x36451),x36452)),x36453),f333(f333(f79(a875),x36451),f333(f333(f79(a875),x36452),x36453))) % 183.16/183.17 [3646]E(f333(f333(f79(a1),f333(f333(f79(a1),x36461),x36462)),x36463),f333(f333(f79(a1),x36461),f333(f333(f79(a1),x36462),x36463))) % 183.16/183.17 [3647]E(f333(f333(f80(a875),f333(f333(f80(a875),x36471),x36472)),x36473),f333(f333(f80(a875),x36471),f333(f333(f80(a875),x36472),x36473))) % 183.16/183.17 [3648]E(f333(f333(f80(a1),f333(f333(f80(a1),x36481),x36482)),x36483),f333(f333(f80(a1),x36481),f333(f333(f80(a1),x36482),x36483))) % 183.16/183.17 [3649]E(f333(f333(f258(a1),f333(f333(f258(a1),x36491),x36492)),x36493),f333(f333(f258(a1),x36491),f333(f333(f80(a875),x36492),x36493))) % 183.16/183.17 [3670]E(f163(x36701,f333(f333(f152(f882(x36701,a870)),x36702),x36703)),f176(x36701,x36702,f163(x36701,x36703))) % 183.16/183.17 [3715]E(f333(f333(f22(a875),f333(f333(f22(a875),x37151),x37152)),x37153),f333(f333(f22(a875),f333(f333(f22(a875),x37151),x37153)),x37152)) % 183.16/183.17 [3721]E(f333(f240(f881(x37211,f877(x37211))),f333(f333(f268(x37211,f877(x37211)),x37212),x37213)),f333(f136(x37211),f128(x37211,x37212,x37213))) % 183.16/183.17 [3724]E(f333(f333(f104(f882(x37241,a870)),x37242),f333(f333(f22(f882(x37241,a870)),x37243),x37242)),f196(f882(x37241,a870))) % 183.16/183.17 [3728]E(f333(f333(f155(a875,x37281),f333(f16(x37281,a875),x37282)),f140(a875,f333(f303(a875,f2(a875)),x37283))),f171(x37281,x37283,x37282)) % 183.16/183.17 [3767]E(f40(f882(x37671,a870),f333(f333(f311(f882(x37671,a870)),x37672),x37673)),f333(f333(f104(f882(x37671,a870)),x37672),f40(f882(x37671,a870),x37673))) % 183.16/183.17 [3768]E(f39(f882(x37681,a870),f333(f333(f311(f882(x37681,a870)),x37682),x37683)),f333(f333(f113(f882(x37681,a870)),x37682),f39(f882(x37681,a870),x37683))) % 183.16/183.17 [3770]E(f171(x37701,f333(f197(f876(x37701)),f333(f137(x37701,f333(a330,x37702)),x37703)),x37702),f333(f137(x37701,f333(a330,x37702)),x37703)) % 183.16/183.17 [3772]E(f333(f333(f22(a875),f333(f333(f80(a875),x37721),x37722)),f333(f333(f80(a875),x37723),x37722)),f333(f333(f80(a875),f333(f333(f22(a875),x37721),x37723)),x37722)) % 183.16/183.17 [3773]E(f333(f333(f79(a875),f333(f333(f80(a875),x37731),x37732)),f333(f333(f80(a875),x37733),x37732)),f333(f333(f80(a875),f333(f333(f79(a875),x37731),x37733)),x37732)) % 183.16/183.17 [3774]E(f333(f333(f22(a1),f333(f333(f80(a1),x37741),x37742)),f333(f333(f80(a1),x37743),x37742)),f333(f333(f80(a1),f333(f333(f22(a1),x37741),x37743)),x37742)) % 183.16/183.17 [3775]E(f333(f333(f79(a1),f333(f333(f80(a1),x37751),x37752)),f333(f333(f80(a1),x37753),x37752)),f333(f333(f80(a1),f333(f333(f79(a1),x37751),x37753)),x37752)) % 183.16/183.17 [3777]E(f333(f333(f245(a875),f333(f333(f22(a875),x37771),x37772)),f333(f333(f22(a875),x37773),x37772)),f333(f333(f22(a875),f333(f333(f245(a875),x37771),x37773)),x37772)) % 183.16/183.17 [3800]E(f333(f333(f104(f882(f876(x38001),a870)),f161(x38001,x38002)),f161(x38001,x38003)),f161(x38001,f333(f333(f104(f882(x38001,a870)),x38002),x38003))) % 183.16/183.17 [3802]E(f333(f333(f113(f882(x38021,a870)),x38022),f333(f333(f113(f882(x38021,a870)),x38022),x38023)),f333(f333(f113(f882(x38021,a870)),x38022),x38023)) % 183.16/183.17 [3803]E(f333(f333(f113(f882(x38031,a870)),x38032),f333(f333(f22(f882(x38031,a870)),x38033),x38032)),f333(f333(f113(f882(x38031,a870)),x38032),x38033)) % 183.16/183.17 [3804]E(f333(f333(f104(f882(x38041,a870)),x38042),f333(f333(f104(f882(x38041,a870)),x38042),x38043)),f333(f333(f104(f882(x38041,a870)),x38042),x38043)) % 183.16/183.17 [3816]E(f333(f333(f290(x38161,x38162,x38162),x38163),f309(x38162,f196(f882(f881(x38162,x38162),a870)))),x38163) % 183.16/183.17 [3819]E(f333(f333(f113(f882(x38191,a870)),f333(f333(f311(x38191),x38192),f196(f882(x38191,a870)))),x38193),f333(f333(f311(x38191),x38192),x38193)) % 183.16/183.17 [3837]E(f333(f333(f22(a875),f333(f333(f22(a875),f333(a115,x38371)),x38372)),f333(a115,x38373)),f333(f333(f22(a875),f333(f333(f22(a875),x38371),x38372)),x38373)) % 183.16/183.17 [3867]E(f333(f333(f104(f882(f882(x38671,a870),a870)),f333(f310(x38671),x38672)),f333(f310(x38671),x38673)),f333(f310(x38671),f333(f333(f104(f882(x38671,a870)),x38672),x38673))) % 183.16/183.17 [3871]E(f333(f333(f113(f882(x38711,a870)),f333(f78(f882(x38711,a870)),x38712)),x38713),f333(f78(f882(x38711,a870)),f333(f333(f22(f882(x38711,a870)),x38712),x38713))) % 183.16/183.17 [3883]E(f333(f333(f311(x38831),x38832),f333(f333(f22(f882(x38831,a870)),x38833),f333(f333(f311(x38831),x38832),f196(f882(x38831,a870))))),f333(f333(f311(x38831),x38832),x38833)) % 183.16/183.17 [3893]P23(f333(f333(f247(f882(x38931,a870)),x38932),f333(f333(f113(f882(x38931,a870)),x38933),x38932))) % 183.16/183.17 [3894]P23(f333(f333(f247(f882(x38941,a870)),x38942),f333(f333(f113(f882(x38941,a870)),x38942),x38943))) % 183.16/183.17 [3897]E(f333(f333(f104(f882(x38971,a870)),f333(f78(f882(x38971,a870)),x38972)),f333(f78(f882(x38971,a870)),x38973)),f333(f78(f882(x38971,a870)),f333(f333(f113(f882(x38971,a870)),x38972),x38973))) % 183.16/183.17 [3898]E(f333(f333(f113(f882(x38981,a870)),f333(f78(f882(x38981,a870)),x38982)),f333(f78(f882(x38981,a870)),x38983)),f333(f78(f882(x38981,a870)),f333(f333(f104(f882(x38981,a870)),x38982),x38983))) % 183.16/183.17 [3912]P23(f333(f333(f247(f882(x39121,a870)),f333(f174(x39121),x39122)),f333(f174(x39121),f333(f333(f152(x39121),x39123),x39122)))) % 183.16/183.17 [3923]E(f333(f333(f113(f882(x39231,a870)),f333(f333(f22(f882(x39231,a870)),x39232),x39233)),f333(f333(f104(f882(x39231,a870)),x39232),x39233)),x39232) % 183.16/183.17 [3979]E(f333(f333(f6(x39791,a1),f333(f333(f8(a875,a1,x39791),f103(a1)),x39792)),x39793),f333(f103(a1),f333(f333(f6(x39791,a875),x39792),x39793))) % 183.16/183.17 [3980]E(f333(f333(f9(x39801,a1),f333(f333(f8(a875,a1,x39801),f103(a1)),x39802)),x39803),f333(f103(a1),f333(f333(f9(x39801,a875),x39802),x39803))) % 183.16/183.17 [4030]E(f333(f333(f135(x40301),f179(x40301,x40302,x40303)),f333(f333(f139(x40301),f333(f197(f876(x40301)),f179(x40301,x40302,x40303))),x40303)),x40303) % 183.16/183.17 [4035]E(f333(f78(f882(f881(x40351,x40352),a870)),f333(f333(f270(x40351,x40352),x40353),f333(f16(f882(x40352,a870),x40351),f256(f882(x40352,a870))))),f333(f333(f270(x40351,x40352),f333(f78(f882(x40351,a870)),x40353)),f333(f16(f882(x40352,a870),x40351),f256(f882(x40352,a870))))) % 183.16/183.17 [4036]E(f333(f78(f882(f881(x40361,x40362),a870)),f333(f333(f270(x40361,x40362),f256(f882(x40361,a870))),f333(f16(f882(x40362,a870),x40361),x40363))),f333(f333(f270(x40361,x40362),f256(f882(x40361,a870))),f333(f16(f882(x40362,a870),x40361),f333(f78(f882(x40362,a870)),x40363)))) % 183.16/183.17 [4060]E(f119(f879(x40601),f333(f242(f877(f879(x40601)),f877(f879(x40601)),f129(x40601),f5(f877(f879(x40601)))),x40602),f124(x40601,x40603)),f124(x40601,f128(f879(f877(f879(x40601))),x40602,x40603))) % 183.16/183.17 [4085]E(f333(f333(f41(f882(x40851,a870),f882(x40851,a870)),x40852),f333(f333(f7(f882(x40851,a870),f882(x40851,a870),f882(x40851,a870)),f104(f882(x40851,a870))),x40853)),f333(f333(f104(f882(x40851,a870)),f39(f882(x40851,a870),x40852)),x40853)) % 183.16/183.17 [4092]E(f333(f143(f876(x40921),f876(x40921),f135(x40921),f116(x40921)),f333(f333(f152(f876(x40921)),x40922),x40923)),f333(f333(f135(x40921),x40922),f333(f143(f876(x40921),f876(x40921),f135(x40921),f116(x40921)),x40923))) % 183.16/183.17 [4114]E(f333(f333(f311(f882(x41141,a870)),f333(f287(x41141,x41141,x41142),f333(f333(f311(x41141),x41143),f196(f882(x41141,a870))))),f196(f882(f882(x41141,a870),a870))),f333(f333(f60(x41141),f333(f333(f311(x41141),x41143),f196(f882(x41141,a870)))),x41142)) % 183.16/183.17 [4124]E(f333(f333(f79(a875),f333(f333(f80(a875),x41241),f333(f333(f38(a875),x41242),x41243))),f333(f333(f38(a875),f333(f333(f80(a875),x41241),f44(a875,x41242,x41243))),x41243)),f333(f333(f38(a875),f333(f333(f80(a875),x41241),x41242)),x41243)) % 183.16/183.17 [4125]E(f333(f333(f79(a1),f333(f333(f80(a1),x41251),f333(f333(f38(a1),x41252),x41253))),f333(f333(f38(a1),f333(f333(f80(a1),x41251),f44(a1,x41252,x41253))),x41253)),f333(f333(f38(a1),f333(f333(f80(a1),x41251),x41252)),x41253)) % 183.16/183.17 [4162]E(f333(f333(f22(f882(x41621,a870)),f333(f174(x41621),x41622)),f333(f333(f311(x41621),x41623),f196(f882(x41621,a870)))),f333(f174(x41621),f333(f137(x41621,f333(f333(f8(a870,a870,x41621),a328),f333(a330,x41623))),x41622))) % 183.16/183.17 [4212]E(f333(f333(f135(x42121),f333(f143(f876(x42121),f876(x42121),f135(x42121),f116(x42121)),x42122)),f333(f143(f876(x42121),f876(x42121),f135(x42121),f116(x42121)),x42123)),f333(f143(f876(x42121),f876(x42121),f135(x42121),f116(x42121)),f333(f333(f135(f876(x42121)),x42122),x42123))) % 183.16/183.17 [4217]E(f333(f333(f268(f876(x42171),f876(x42171)),f333(f137(x42171,x42172),x42173)),f333(f137(x42171,f333(f72(a870,a870,x42171,a328),x42172)),x42173)),f168(x42171,x42172,x42173)) % 183.16/183.17 [4220]E(f333(f333(f79(a875),f333(f333(f79(a875),f333(f333(f38(a875),x42201),x42202)),f333(f333(f38(a875),x42203),x42202))),f333(f333(f38(a875),f333(f333(f79(a875),f44(a875,x42201,x42202)),f44(a875,x42203,x42202))),x42202)),f333(f333(f38(a875),f333(f333(f79(a875),x42201),x42203)),x42202)) % 183.16/183.17 [4221]E(f333(f333(f79(a1),f333(f333(f79(a1),f333(f333(f38(a1),x42211),x42212)),f333(f333(f38(a1),x42213),x42212))),f333(f333(f38(a1),f333(f333(f79(a1),f44(a1,x42211,x42212)),f44(a1,x42213,x42212))),x42212)),f333(f333(f38(a1),f333(f333(f79(a1),x42211),x42213)),x42212)) % 183.16/183.17 [4277]E(f333(f333(f104(f882(f876(x42771),a870)),f333(f333(f7(f876(x42771),f882(f876(x42771),a870),a870),f335(f876(x42771))),f162(x42771,x42772))),f333(f333(f7(f876(x42771),f882(f876(x42771),a870),a870),f335(f876(x42771))),f162(x42771,x42773))),f161(x42771,f333(f333(f104(f882(x42771,a870)),f333(f333(f7(x42771,f882(x42771,a870),a870),f335(x42771)),x42772)),f333(f333(f7(x42771,f882(x42771,a870),a870),f335(x42771)),x42773)))) % 183.16/183.17 [4290]E(f333(f253(x42901),f333(f333(f18(x42901,a870,a870),f333(f333(f8(a870,f882(a870,a870),x42901),a332),f333(f333(f7(x42901,x42901,a870),a330),x42902))),f333(f333(f7(x42901,f882(x42901,a870),a870),f335(x42901)),x42903))),f333(f333(f311(x42901),x42902),x42903)) % 183.16/183.17 [4310]E(f333(f333(f85(f876(f876(x43101)),f876(f876(x43101))),f53(x43101,x43102)),f333(f333(f18(f876(f876(x43101)),f876(f876(x43101)),f876(f876(x43101))),f333(f333(f8(f876(f876(x43101)),f882(f876(f876(x43101)),f876(f876(x43101))),f876(f876(x43101))),f135(f876(x43101))),f333(f155(f876(x43101),f876(x43101)),f333(f152(x43101),x43103)))),f5(f876(f876(x43101))))),f53(x43101,f333(f333(f152(x43101),x43103),x43102))) % 183.16/183.17 [4314]E(f333(f253(x43141),f333(f333(f18(x43141,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43141),a332),f333(f333(f7(x43141,f882(x43141,a870),a870),f335(x43141)),x43142))),f333(f333(f7(x43141,f882(x43141,a870),a870),f335(x43141)),x43143))),f333(f333(f113(f882(x43141,a870)),x43142),x43143)) % 183.16/183.17 [4315]E(f333(f253(x43151),f333(f333(f18(x43151,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43151),a331),f333(f333(f7(x43151,f882(x43151,a870),a870),f335(x43151)),x43152))),f333(f333(f7(x43151,f882(x43151,a870),a870),f335(x43151)),x43153))),f333(f333(f104(f882(x43151,a870)),x43152),x43153)) % 183.16/183.17 [4406]E(f333(f333(f41(x44061,f882(f882(x44061,a870),a870)),x44062),f333(f333(f7(x44061,f882(f882(x44061,a870),a870),f882(f882(x44061,a870),a870)),f333(f333(f8(f882(x44061,a870),f882(f882(f882(x44061,a870),a870),f882(f882(x44061,a870),a870)),x44061),f311(f882(x44061,a870))),f333(f333(f8(f882(x44061,a870),f882(x44061,a870),x44061),f287(x44061,x44061,x44063)),f333(f333(f7(x44061,f882(x44061,a870),f882(x44061,a870)),f311(x44061)),f196(f882(x44061,a870)))))),f196(f882(f882(x44061,a870),a870)))),f333(f333(f60(x44061),x44062),x44063)) % 183.16/183.17 [4408]E(f333(f333(f213(x44081),f333(f333(f80(a1),f333(f333(f72(f881(a1,a1),a1,x44081,f267(a1,a1)),f224(x44081)),x44082)),f333(f333(f72(f881(a1,a1),a1,x44081,f267(a1,a1)),f224(x44081)),x44083))),f333(f333(f80(a1),f333(f333(f72(f881(a1,a1),a1,x44081,f271(a1,a1)),f224(x44081)),x44082)),f333(f333(f72(f881(a1,a1),a1,x44081,f271(a1,a1)),f224(x44081)),x44083))),f233(x44081,x44082,x44083)) % 183.16/183.17 [4411]E(f333(f253(f876(x44111)),f333(f333(f18(f876(x44111),a870,a870),f333(f333(f8(a870,f882(a870,a870),f876(x44111)),a331),f333(f333(f7(f876(x44111),a875,a870),f333(f333(f8(a875,f882(a875,a870),f876(x44111)),a330),f197(f876(x44111)))),x44112))),f333(f333(f7(f876(x44111),f882(x44111,a870),a870),f333(f333(f8(f882(x44111,a870),f882(f882(x44111,a870),a870),f876(x44111)),f247(f882(x44111,a870))),f174(x44111))),f333(f174(x44111),x44113)))),f333(f174(f876(x44111)),f54(x44111,x44112,x44113))) % 183.16/183.17 [3790]E(f44(a875,f333(f333(f79(a875),f333(f333(f80(a875),x37901),x37902)),x37903),x37902),f44(a875,x37903,x37902)) % 183.16/183.17 [3836]E(f140(a875,f333(f303(a875,f333(f333(f79(a875),x38361),x38362)),x38363)),f333(f333(f139(a875),x38362),f140(a875,f333(f303(a875,x38361),x38363)))) % 183.16/183.17 [3882]E(f333(f333(f79(a1),f333(f103(a1),x38821)),f333(f333(f79(a1),f333(f103(a1),x38822)),x38823)),f333(f333(f79(a1),f333(f103(a1),f333(f333(f79(a875),x38821),x38822))),x38823)) % 183.16/183.17 [3889]E(f333(f333(f113(f882(x38891,a870)),f333(f333(f22(f882(x38891,a870)),x38892),x38893)),x38893),f333(f333(f113(f882(x38891,a870)),x38892),x38893)) % 183.16/183.17 [3890]E(f333(f333(f22(f882(x38901,a870)),f333(f333(f22(f882(x38901,a870)),x38902),x38903)),x38903),f333(f333(f22(f882(x38901,a870)),x38902),x38903)) % 183.16/183.17 [3913]E(f333(f333(f290(x39131,x39131,x39132),f309(x39131,f196(f882(f881(x39131,x39131),a870)))),x39133),x39133) % 183.16/183.17 [3920]E(f333(f333(f113(f882(x39201,a870)),f333(f286(x39201),x39202)),f333(f286(x39201),x39203)),f333(f286(x39201),f333(f333(f113(f882(f881(x39201,x39201),a870)),x39202),x39203))) % 183.16/183.17 [3931]E(f277(x39311,f333(f333(f152(f881(a102,x39311)),f333(f333(f268(a102,x39311),f2(a102)),x39312)),x39313)),f277(x39311,x39313)) % 183.16/183.17 [3934]E(f333(f333(f104(f882(x39341,a870)),f40(f882(x39341,a870),x39342)),f40(f882(x39341,a870),x39343)),f40(f882(x39341,a870),f333(f333(f113(f882(f882(x39341,a870),a870)),x39342),x39343))) % 183.16/183.17 [3935]E(f333(f333(f113(f882(x39351,a870)),f39(f882(x39351,a870),x39352)),f39(f882(x39351,a870),x39353)),f39(f882(x39351,a870),f333(f333(f113(f882(f882(x39351,a870),a870)),x39352),x39353))) % 183.16/183.17 [3971]E(f333(f333(f290(x39711,x39711,x39711),f333(f333(f191(f881(x39711,x39711),a870),x39712),x39713)),x39713),f333(f333(f191(f881(x39711,x39711),a870),f333(a115,x39712)),x39713)) % 183.16/183.17 [4021]P23(f333(f333(f247(f882(x40211,a870)),f333(f333(f22(f882(x40211,a870)),x40212),x40213)),x40212)) % 183.16/183.17 [4022]P23(f333(f333(f247(f882(x40221,a870)),f333(f333(f104(f882(x40221,a870)),x40222),x40223)),x40223)) % 183.16/183.17 [4023]P23(f333(f333(f247(f882(x40231,a870)),f333(f333(f104(f882(x40231,a870)),x40232),x40233)),x40232)) % 183.16/183.17 [4048]E(f309(x40481,f333(f333(f113(f882(f881(x40481,x40481),a870)),f309(x40481,x40482)),f309(x40481,x40483))),f309(x40481,f333(f333(f113(f882(f881(x40481,x40481),a870)),x40482),x40483))) % 183.16/183.17 [4052]E(f39(f882(x40521,a870),f333(f333(f311(f882(x40521,a870)),x40522),f333(f333(f311(f882(x40521,a870)),x40523),f196(f882(f882(x40521,a870),a870))))),f333(f333(f113(f882(x40521,a870)),x40522),x40523)) % 183.16/183.17 [4053]E(f40(f882(x40531,a870),f333(f333(f311(f882(x40531,a870)),x40532),f333(f333(f311(f882(x40531,a870)),x40533),f196(f882(f882(x40531,a870),a870))))),f333(f333(f104(f882(x40531,a870)),x40532),x40533)) % 183.16/183.17 [4059]E(f333(f333(f290(x40591,x40591,x40591),f333(f333(f191(f881(x40591,x40591),a870),x40592),x40593)),x40593),f333(f333(f290(x40591,x40591,x40591),x40593),f333(f333(f191(f881(x40591,x40591),a870),x40592),x40593))) % 183.16/183.17 [4129]E(f333(f333(f113(f882(x41291,a870)),f333(f253(x41291),f333(f333(f7(x41291,x41291,a870),a330),x41292))),x41293),f333(f333(f311(x41291),x41292),x41293)) % 183.16/183.17 [4131]E(f333(a107,f333(f333(f6(x41311,a1),f333(f333(f8(a875,a1,x41311),f103(a1)),x41312)),x41313)),f333(f333(f6(x41311,a875),x41312),x41313)) % 183.16/183.17 [4132]E(f333(a107,f333(f333(f9(x41321,a1),f333(f333(f8(a875,a1,x41321),f103(a1)),x41322)),x41323)),f333(f333(f9(x41321,a875),x41322),x41323)) % 183.16/183.17 [4209]E(f333(f157(f876(x42091),x42091,f333(f173(x42091),x42092),f333(f16(f882(f876(x42091),f876(x42091)),x42091),f333(f333(f7(f876(x42091),f876(x42091),f876(x42091)),f135(x42091)),x42092))),x42093),f333(f173(x42091),f333(f333(f135(x42091),x42093),x42092))) % 183.16/183.17 [4240]P23(f333(f333(f247(f882(f882(x42401,a870),a870)),f333(f333(f113(f882(f882(x42401,a870),a870)),f333(f310(x42401),x42402)),f333(f310(x42401),x42403))),f333(f310(x42401),f333(f333(f113(f882(x42401,a870)),x42402),x42403)))) % 183.16/183.17 [4333]E(f333(f253(x43331),f333(f333(f18(x43331,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43331),a331),f333(f333(f7(x43331,f882(x43331,a870),a870),f335(x43331)),x43332))),f333(f333(f8(a870,a870,x43331),a328),f333(f333(f7(x43331,f882(x43331,a870),a870),f335(x43331)),x43333)))),f333(f333(f22(f882(x43331,a870)),x43332),x43333)) % 183.16/183.17 [4355]E(f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,a875,a870),f248(a875)),f333(f197(f876(x43551)),x43552)))),f333(f333(f8(x43551,a870,a875),x43553),f333(f166(x43551),x43552))))),f333(f197(f876(x43551)),f333(f137(x43551,x43553),x43552))) % 183.16/183.17 [4357]E(f333(f197(f876(x43571)),f178(x43571,x43572,x43573)),f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,a875,a870),f248(a875)),f333(f197(f876(x43571)),x43572)))),f333(f333(f7(a875,f882(a875,a870),a870),f335(a875)),x43573))))) % 183.16/183.17 [4454]E(f333(f333(f104(f882(f881(f876(x44541),f876(x44541)),a870)),f333(f312(f881(f881(x44541,f876(x44541)),f881(x44541,f876(x44541))),f881(f876(x44541),f876(x44541)),f273(f881(x44541,f876(x44541)),f876(x44541),f881(x44541,f876(x44541)),f876(x44541),f333(f272(x44541,f876(x44541),f876(x44541)),f152(x44541)),f333(f272(x44541,f876(x44541),f876(x44541)),f152(x44541)))),f326(x44541,f876(x44541),x44542,f333(f144(x44541,x44542),x44543)))),f333(f253(f881(f876(x44541),f876(x44541))),f333(f272(f876(x44541),f876(x44541),a870),f333(f333(f7(f876(x44541),f882(f876(x44541),a870),f882(f876(x44541),a870)),f333(f333(f8(f882(a870,a870),f882(f882(f876(x44541),a870),f882(f876(x44541),a870)),f876(x44541)),f8(a870,a870,f876(x44541))),f333(f333(f8(a870,f882(a870,a870),f876(x44541)),a331),f333(f333(f7(f876(x44541),a875,a870),f333(f333(f8(a875,f882(a875,a870),f876(x44541)),a330),f197(f876(x44541)))),f333(a115,x44543))))),f333(f333(f7(f876(x44541),a875,a870),f333(f333(f8(a875,f882(a875,a870),f876(x44541)),a330),f197(f876(x44541)))),f333(a115,x44543)))))),f333(f144(x44541,x44542),f333(a115,x44543))) % 183.16/183.17 [3936]E(f44(a875,f333(a115,f333(f333(f79(a875),f333(f333(f80(a875),x39361),x39362)),x39363)),x39362),f44(a875,f333(a115,x39363),x39362)) % 183.16/183.17 [4197]E(f333(f253(x41971),f333(f333(f18(x41971,a870,a870),f333(f333(f8(a870,f882(a870,a870),x41971),a331),x41972)),x41973)),f333(f333(f104(f882(x41971,a870)),f333(f253(x41971),x41972)),f333(f253(x41971),x41973))) % 183.16/183.17 [4198]E(f333(f253(x41981),f333(f333(f18(x41981,a870,a870),f333(f333(f8(a870,f882(a870,a870),x41981),a332),x41982)),x41983)),f333(f333(f113(f882(x41981,a870)),f333(f253(x41981),x41982)),f333(f253(x41981),x41983))) % 183.16/183.17 [4200]E(f333(f333(f135(x42001),f333(f333(f139(x42001),f44(a875,x42002,f333(f197(f876(x42001)),x42003))),x42003)),f333(f333(f177(x42001),f44(a875,x42002,f333(f197(f876(x42001)),x42003))),x42003)),f333(f333(f333(f191(f876(x42001),f876(x42001)),x42002),f169(x42001)),x42003)) % 183.16/183.17 [4206]E(f333(f253(x42061),f333(f333(f18(x42061,a870,a870),f333(f333(f8(a870,f882(a870,a870),x42061),a336),x42062)),x42063)),f333(f333(f113(f882(x42061,a870)),f333(f78(f882(x42061,a870)),f333(f253(x42061),x42062))),f333(f253(x42061),x42063))) % 183.16/183.17 [4222]E(f333(f333(f79(a875),f333(f197(f876(x42221)),f333(f137(x42221,x42222),x42223))),f333(f197(f876(x42221)),f333(f137(x42221,f333(f333(f8(a870,a870,x42221),a328),x42222)),x42223))),f333(f197(f876(x42221)),x42223)) % 183.16/183.17 [4247]P23(f333(f333(f247(f882(x42471,a870)),f333(f333(f113(f882(x42471,a870)),f40(f882(x42471,a870),x42472)),f40(f882(x42471,a870),x42473))),f40(f882(x42471,a870),f333(f333(f104(f882(f882(x42471,a870),a870)),x42472),x42473)))) % 183.16/183.17 [4261]E(f333(f174(x42611),f333(f137(x42611,f333(f333(f8(a870,a870,x42611),a328),f333(f333(f7(x42611,x42611,a870),a330),x42612))),x42613)),f333(f333(f22(f882(x42611,a870)),f333(f174(x42611),x42613)),f333(f333(f311(x42611),x42612),f196(f882(x42611,a870))))) % 183.16/183.17 [4270]P23(f333(f333(f247(f882(f881(x42701,x42701),a870)),f333(f333(f113(f882(f881(x42701,x42701),a870)),f309(x42701,x42702)),f309(x42701,x42703))),f309(x42701,f333(f333(f113(f882(f881(x42701,x42701),a870)),x42702),x42703)))) % 183.16/183.17 [4295]E(f333(f333(f80(a875),f333(a115,f333(a115,f2(a875)))),f333(f333(f6(a875,a875),f333(f333(f8(a875,a875,a875),f333(f79(a875),x42951)),f333(f333(f7(a875,a875,a875),f80(a875)),x42952))),f333(f254(a875),x42953))),f333(f333(f80(a875),x42953),f333(f333(f79(a875),x42951),f333(f333(f79(a875),x42951),f333(f333(f80(a875),f333(f333(f22(a875),x42953),f77(a875))),x42952))))) % 183.16/183.17 [4305]E(f333(f253(x43051),f333(f333(f18(x43051,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43051),a331),f333(f333(f7(x43051,f882(x43051,a870),a870),f335(x43051)),f333(f174(x43051),x43052)))),x43053)),f333(f174(x43051),f333(f137(x43051,x43053),x43052))) % 183.16/183.17 [4453]E(f333(f253(x44531),f333(f333(f8(f882(a875,a870),a870,x44531),f86(a875)),f333(f333(f7(x44531,f882(a875,a870),f882(a875,a870)),f333(f333(f8(f882(a875,f882(a870,a870)),f882(f882(a875,a870),f882(a875,a870)),x44531),f18(a875,a870,a870)),f333(f333(f8(f882(a875,a870),f882(a875,f882(a870,a870)),x44531),f333(f8(a870,f882(a870,a870),a875),a331)),f333(f333(f7(x44531,f882(a875,x44531),f882(a875,a870)),f333(f333(f8(f882(x44531,a870),f882(f882(a875,x44531),f882(a875,a870)),x44531),f8(x44531,a870,a875)),a330)),f333(f166(x44531),x44532))))),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,a875,a870),f248(a875)),f333(f197(f876(x44531)),x44532)))),f333(f333(f7(a875,f882(a875,a870),a870),f335(a875)),x44533))))),f333(f174(x44531),f178(x44531,x44532,x44533))) % 183.16/183.17 [4345]E(f333(f253(x43451),f333(f333(f18(x43451,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43451),a336),f333(f333(f8(a870,a870,x43451),a328),f333(f333(f7(x43451,x43451,a870),a330),x43452)))),x43453)),f333(f333(f311(x43451),x43452),f333(f253(x43451),x43453))) % 183.16/183.17 [4377]E(f333(f333(f155(f881(x43771,a875),x43771),f267(x43771,a875)),f333(f137(f881(x43771,a875),f333(f333(f7(f881(x43771,a875),f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),f881(x43771,a875)),f335(a875)),f271(x43771,a875))),x43772)),f333(f333(f184(x43771,a875),x43773),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(x43771)),x43773)))))),f178(x43771,x43773,x43772)) % 183.16/183.17 [4407]E(f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f6(a875,a1),f333(f333(f8(a1,a1,a875),f333(f79(a1),x44071)),f333(f333(f7(a875,a1,a1),f333(f333(f8(a1,f882(a1,a1),a875),f80(a1)),f103(a1))),x44072))),f333(f254(a875),x44073))),f333(f333(f80(a1),f333(f103(a1),x44073)),f333(f333(f79(a1),x44071),f333(f333(f79(a1),x44071),f333(f333(f80(a1),f333(f103(a1),f333(f333(f22(a875),x44073),f77(a875)))),x44072))))) % 183.16/183.17 [4447]E(f333(f253(f881(x44471,x44472)),f333(f272(x44471,x44472,a870),f333(f333(f7(x44471,f882(f881(x44472,x44471),a870),f882(x44472,a870)),f333(f333(f8(f882(x44472,f882(f882(f881(x44472,x44471),a870),a870)),f882(f882(f881(x44472,x44471),a870),f882(x44472,a870)),x44471),f7(x44472,f882(f881(x44472,x44471),a870),a870)),f333(f333(f8(f882(x44472,f881(x44472,x44471)),f882(x44472,f882(f882(f881(x44472,x44471),a870),a870)),x44471),f333(f8(f881(x44472,x44471),f882(f882(f881(x44472,x44471),a870),a870),x44472),f335(f881(x44472,x44471)))),f333(f7(x44472,x44471,f881(x44472,x44471)),f268(x44472,x44471))))),x44473))),f333(f288(x44472,x44471),x44473)) % 183.16/183.17 [4469]E(f333(f253(f876(x44691)),f333(f333(f8(f882(x44691,a870),a870,f876(x44691)),f86(x44691)),f333(f333(f8(f882(x44691,f882(f876(x44691),a870)),f882(x44691,a870),f876(x44691)),f333(f8(f882(f876(x44691),a870),a870,x44691),f86(f876(x44691)))),f333(f333(f7(f876(x44691),f882(x44691,f882(f876(x44691),a870)),f882(x44691,f882(f876(x44691),a870))),f333(f333(f8(f882(x44691,f882(f882(f876(x44691),a870),f882(f876(x44691),a870))),f882(f882(x44691,f882(f876(x44691),a870)),f882(x44691,f882(f876(x44691),a870))),f876(x44691)),f18(x44691,f882(f876(x44691),a870),f882(f876(x44691),a870))),f333(f333(f8(f882(x44691,f882(f876(x44691),f882(a870,a870))),f882(x44691,f882(f882(f876(x44691),a870),f882(f876(x44691),a870))),f876(x44691)),f333(f8(f882(f876(x44691),f882(a870,a870)),f882(f882(f876(x44691),a870),f882(f876(x44691),a870)),x44691),f18(f876(x44691),a870,a870))),f333(f333(f8(f882(x44691,f882(f876(x44691),a870)),f882(x44691,f882(f876(x44691),f882(a870,a870))),f876(x44691)),f333(f8(f882(f876(x44691),a870),f882(f876(x44691),f882(a870,a870)),x44691),f333(f8(a870,f882(a870,a870),f876(x44691)),a331))),f333(f333(f7(f876(x44691),f882(x44691,f882(f876(x44691),f876(x44691))),f882(x44691,f882(f876(x44691),a870))),f333(f333(f8(f882(f882(f876(x44691),f876(x44691)),f882(f876(x44691),a870)),f882(f882(x44691,f882(f876(x44691),f876(x44691))),f882(x44691,f882(f876(x44691),a870))),f876(x44691)),f8(f882(f876(x44691),f876(x44691)),f882(f876(x44691),a870),x44691)),f333(f333(f8(f882(f876(x44691),a870),f882(f882(f876(x44691),f876(x44691)),f882(f876(x44691),a870)),f876(x44691)),f8(f876(x44691),a870,f876(x44691))),a330))),f152(x44691)))))),f333(f333(f7(x44691,f882(f876(x44691),a870),f882(f876(x44691),a870)),f333(f333(f8(f882(a870,a870),f882(f882(f876(x44691),a870),f882(f876(x44691),a870)),x44691),f8(a870,a870,f876(x44691))),f333(f333(f8(a870,f882(a870,a870),x44691),a331),f333(f333(f7(x44691,f882(x44691,a870),a870),f335(x44691)),x44692)))),f333(f333(f7(f876(x44691),f882(f876(x44691),a870),a870),f335(f876(x44691))),x44693)))))),f176(x44691,x44692,x44693)) % 183.16/183.17 [4466]E(f333(f333(f85(a1,f881(a1,a1)),f333(f333(f22(a1),x44661),x44662)),f333(f333(f7(a1,f881(a1,a1),f881(a1,a1)),f333(f333(f18(a1,f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),f333(f333(f8(a870,f882(f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),a1),f99(f881(a1,a1))),f333(f247(a1),f2(a1)))),f333(f268(a1,a1),f333(f333(f79(a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x44663)),f77(a1))))),f333(f333(f268(a1,a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x44663)),x44661))),f333(f43(x44662),f333(f333(f268(a1,a1),x44663),x44661))) % 183.16/183.17 [4497]~E(f31(x44971,x44972),f32(x44973,x44974)) % 183.16/183.17 [4514]~E(f333(a25,x45141),f29(x45142,x45143,x45144)) % 183.16/183.17 [4515]~E(f333(a25,x45151),f28(x45152,x45153,x45154)) % 183.16/183.17 [4516]~E(f29(x45161,x45162,x45163),f333(a25,x45164)) % 183.16/183.17 [4517]~E(f28(x45171,x45172,x45173),f333(a25,x45174)) % 183.16/183.17 [3476]E(f333(f333(f333(f71(x34761,x34762),x34763),x34764),f333(x34763,x34764)),x34763) % 183.16/183.17 [3484]E(f119(x34841,f333(x34842,x34843),f333(x34844,x34843)),f333(f215(x34841,x34842,x34844),x34843)) % 183.16/183.17 [3537]E(f333(f333(f259(x35371,x35372,x35373),x35374),f2(a875)),x35372) % 183.16/183.17 [3578]E(f193(x35781,x35782,x35783,f333(a115,x35784)),f333(x35783,x35784)) % 183.16/183.17 [3619]E(f172(x36191,x36192,f172(x36191,x36193,x36194)),f172(x36191,x36193,f172(x36191,x36192,x36194))) % 183.16/183.17 [3620]E(f119(x36201,f128(x36201,x36202,x36203),x36204),f128(x36201,x36202,f119(x36201,x36203,x36204))) % 183.16/183.17 [3757]E(f333(f157(x37571,x37572,x37573,x37574),f116(x37572)),x37573) % 183.16/183.17 [3758]E(f333(f242(x37581,x37582,x37583,x37584),f209(x37582)),x37583) % 183.16/183.17 [3759]E(f333(f143(x37591,x37592,x37593,x37594),f116(x37592)),x37594) % 183.16/183.17 [3866]E(f333(f333(f135(x38661),f171(x38661,x38662,x38663)),f171(x38661,x38664,x38663)),f333(f333(f135(x38661),f171(x38661,x38664,x38663)),f171(x38661,x38662,x38663))) % 183.16/183.17 [3879]E(f333(f242(f879(x38791),x38792,f209(x38791),f333(f16(f879(x38791),x38792),f209(x38791))),f333(x38793,x38794)),f209(x38791)) % 183.16/183.17 [3924]E(f333(f333(f113(f882(x39241,a870)),f186(x39241,x39242,x39243)),f186(x39241,x39242,x39244)),f186(x39241,x39242,f187(x39241,x39242,x39244,x39243))) % 183.16/183.17 [3956]E(f333(f333(f274(x39561,x39562,x39563,f881(x39562,x39563)),x39564),f268(x39562,x39563)),x39564) % 183.16/183.17 [3965]E(f189(x39651,x39652,x39653,x39654,f116(x39652)),x39653) % 183.16/183.17 [3966]E(f243(x39661,x39662,x39663,x39664,f209(x39662)),x39663) % 183.16/183.17 [3967]E(f189(x39671,x39672,x39673,f116(x39671),x39674),x39673) % 183.16/183.17 [4254]P42(x42541,x42542,x42543,x42544,f196(f882(x42541,a870)),x42544) % 183.16/183.17 [3277]E(f333(f333(f16(x32771,x32772),x32773),x32774),x32773) % 183.16/183.17 [3393]E(f333(f333(f210(x33931,x33932),x33933),f333(f240(x33931),x33934)),f333(f240(x33932),f333(x33933,x33934))) % 183.16/183.17 [3568]E(f172(x35681,x35682,f333(f137(x35681,x35683),x35684)),f333(f137(x35681,x35683),f172(x35681,x35682,x35684))) % 183.16/183.17 [3603]E(f333(f333(f64(x36031,x36032,x36033),x36034),f196(f882(x36031,a870))),x36034) % 183.16/183.17 [3626]E(f333(f333(f166(x36261),f333(f333(f152(x36261),x36262),x36263)),f333(a115,x36264)),f333(f333(f166(x36261),x36263),x36264)) % 183.16/183.17 [3671]P29(x36711,f2(a875),f333(f333(f333(f91(x36711),x36712),f333(a25,x36713)),x36714)) % 183.16/183.17 [3696]E(f333(f333(x36961,x36962),f333(f192(x36963,x36964,x36961),x36962)),f333(f192(x36963,x36964,x36961),f333(a115,x36962))) % 183.16/183.17 [3795]E(f333(f333(f160(x37951,f333(f333(f152(x37951),x37952),x37953)),f2(a875)),x37954),f333(f333(f152(x37951),x37954),x37953)) % 183.16/183.17 [3806]E(f333(f333(f41(f882(x38061,a870),f882(x38062,a870)),x38063),f312(x38061,x38062,x38064)),f333(f312(x38061,x38062,x38064),f39(f882(x38061,a870),x38063))) % 183.16/183.17 [3807]E(f333(f333(f41(f882(x38071,a870),f882(x38072,a870)),x38073),f313(x38072,x38071,x38074)),f333(f313(x38072,x38071,x38074),f39(f882(x38071,a870),x38073))) % 183.16/183.17 [3906]E(f186(x39061,x39062,f190(x39061,x39062,x39063,x39064)),f333(f333(f104(f882(x39061,a870)),f186(x39061,x39062,x39063)),x39064)) % 183.16/183.17 [3910]E(f333(f130(x39101,x39102),f128(x39101,x39103,x39104)),f333(f333(f79(a875),f333(f333(f79(a875),f333(x39102,x39103)),f333(f130(x39101,x39102),x39104))),f333(a115,f2(a875)))) % 183.16/183.17 [3930]E(f333(f143(x39301,x39302,f333(f7(x39302,x39301,x39301),x39303),x39304),f333(f170(x39302),f116(x39302))),x39304) % 183.16/183.17 [3978]E(f75(x39781,x39782,x39783,x39784,f196(f882(x39781,a870))),x39783) % 183.16/183.17 [4024]E(f333(f333(f333(f333(f71(x40241,f879(x40242)),f333(f16(f879(x40242),x40241),f209(x40242))),x40243),f209(x40242)),x40244),f209(x40242)) % 183.16/183.17 [4180]E(f333(f272(x41801,x41802,x41803),f333(f333(f8(f882(x41802,f881(x41801,x41802)),f882(x41802,x41803),x41801),f333(f8(f881(x41801,x41802),x41803,x41802),x41804)),f268(x41801,x41802))),x41804) % 183.16/183.17 [3474]E(f333(f271(x34741,x34742),f333(f333(f268(x34741,x34742),x34743),x34744)),x34744) % 183.16/183.17 [3475]E(f333(f267(x34751,x34752),f333(f333(f268(x34751,x34752),x34753),x34754)),x34753) % 183.16/183.17 [3510]E(f333(f197(f876(x35101)),f333(f333(f160(x35101,x35102),x35103),x35104)),f333(f197(f876(x35101)),x35102)) % 183.16/183.17 [3511]E(f333(f197(f876(x35111)),f333(f333(f155(x35112,x35111),x35113),x35114)),f333(f197(f876(x35112)),x35114)) % 183.16/183.17 [3531]E(f333(f333(f139(x35311),f333(a115,x35312)),f333(f333(f152(x35311),x35313),x35314)),f333(f333(f139(x35311),x35312),x35314)) % 183.16/183.17 [3598]E(f333(f333(f177(x35981),x35982),f171(x35981,x35983,x35984)),f171(x35981,f333(f333(f245(a875),x35982),x35983),x35984)) % 183.16/183.17 [3599]E(f333(f333(f139(x35991),x35992),f171(x35991,x35993,x35994)),f171(x35991,f333(f333(f22(a875),x35993),x35992),x35994)) % 183.16/183.17 [3605]E(f333(f333(f311(x36051),x36052),f333(f333(f311(x36051),x36053),x36054)),f333(f333(f311(x36051),x36053),f333(f333(f311(x36051),x36052),x36054))) % 183.16/183.17 [3608]E(f333(f333(f155(x36081,x36082),x36083),f117(x36081,x36084)),f117(x36082,f333(f333(f155(x36081,x36082),x36083),x36084))) % 183.16/183.17 [3624]E(f333(f170(x36241),f333(f333(f155(x36242,x36241),x36243),x36244)),f333(f333(f155(x36242,x36241),x36243),f333(f170(x36242),x36244))) % 183.16/183.17 [3625]E(f333(f333(f155(x36251,x36252),x36253),f333(f173(x36251),x36254)),f333(f173(x36252),f333(f333(f155(x36251,x36252),x36253),x36254))) % 183.16/183.17 [3638]E(f333(f333(f177(x36381),f333(a115,x36382)),f333(f333(f152(x36381),x36383),x36384)),f333(f333(f152(x36381),x36383),f333(f333(f177(x36381),x36382),x36384))) % 183.16/183.17 [3642]E(f333(f174(x36421),f333(f333(f155(x36422,x36421),x36423),x36424)),f333(f312(x36422,x36421,x36423),f333(f174(x36422),x36424))) % 183.16/183.17 [3657]E(f333(f333(f155(x36571,x36572),f333(f16(x36572,x36571),x36573)),x36574),f171(x36572,f333(f197(f876(x36571)),x36574),x36573)) % 183.16/183.17 [3695]E(f17(x36951,x36952,x36953,f333(a3,f333(a115,f333(a19,x36954)))),f333(x36953,x36954)) % 183.16/183.17 [3698]E(f333(f333(f135(x36981),f333(f137(x36981,x36982),x36983)),f333(f137(x36981,x36982),x36984)),f333(f137(x36981,x36982),f333(f333(f135(x36981),x36983),x36984))) % 183.16/183.17 [3711]E(f153(x37111,f333(f333(f155(x37112,x37111),x37113),f153(x37112,x37114))),f153(x37111,f333(f333(f155(x37112,x37111),x37113),x37114))) % 183.16/183.17 [3727]E(f333(f288(x37271,x37271),f333(f333(f289(x37272,x37271),x37273),x37274)),f333(f333(f289(x37272,x37271),f333(f288(x37272,x37272),x37273)),x37274)) % 183.16/183.17 [3738]E(f333(f333(f290(x37381,x37382,x37383),x37384),f196(f882(f881(x37382,x37383),a870))),f196(f882(f881(x37381,x37383),a870))) % 183.16/183.17 [3739]E(f333(f333(f177(x37391),f333(f333(f22(a875),x37392),x37393)),f333(f333(f139(x37391),x37393),x37394)),f333(f333(f139(x37391),x37393),f333(f333(f177(x37391),x37392),x37394))) % 183.16/183.17 [3760]E(f333(f333(f135(x37601),f171(x37601,x37602,x37603)),f171(x37601,x37604,x37603)),f171(x37601,f333(f333(f79(a875),x37602),x37604),x37603)) % 183.16/183.17 [3787]E(f40(f882(x37871,a870),f333(f312(x37872,f882(x37871,a870),x37873),x37874)),f333(f333(f42(x37872,f882(x37871,a870)),x37874),x37873)) % 183.16/183.17 [3788]E(f39(f882(x37881,a870),f333(f312(x37882,f882(x37881,a870),x37883),x37884)),f333(f333(f41(x37882,f882(x37881,a870)),x37884),x37883)) % 183.16/183.17 [3789]E(f333(f197(f876(f881(x37891,x37892))),f333(f333(f184(x37891,x37892),x37893),x37894)),f333(f333(f245(a875),f333(f197(f876(x37891)),x37893)),f333(f197(f876(x37892)),x37894))) % 183.16/183.17 [3791]E(f333(f313(x37911,x37912,x37913),f333(f78(f882(x37912,a870)),x37914)),f333(f78(f882(x37911,a870)),f333(f313(x37911,x37912,x37913),x37914))) % 183.16/183.17 [3821]E(f333(f190(x38211,x38212,x38213,f196(f882(x38211,a870))),x38214),f209(x38212)) % 183.16/183.17 [3842]E(f333(f313(x38421,x38422,x38423),f333(f253(x38422),x38424)),f333(f253(x38421),f333(f333(f8(x38422,a870,x38421),x38424),x38423))) % 183.16/183.17 [3860]E(f333(f333(f166(x38601),f333(f333(f135(x38601),x38602),f333(f333(f152(x38601),x38603),x38604))),f333(f197(f876(x38601)),x38602)),x38603) % 183.16/183.17 [3865]E(f333(f190(x38651,x38652,f333(f16(f879(x38652),x38651),f209(x38652)),x38653),x38654),f209(x38652)) % 183.16/183.17 [3887]E(f333(f312(x38871,x38872,x38873),f333(f313(x38871,x38872,x38873),x38874)),f333(f333(f104(f882(x38872,a870)),x38874),f333(f312(x38871,x38872,x38873),f256(f882(x38871,a870))))) % 183.16/183.17 [3905]P23(f333(f333(f335(x39051),f333(x39052,x39053)),f333(f312(x39054,x39051,x39052),f256(f882(x39054,a870))))) % 183.16/183.17 [3917]E(f333(f333(f135(x39171),f171(x39171,x39172,x39173)),f333(f333(f152(x39171),x39173),x39174)),f333(f333(f152(x39171),x39173),f333(f333(f135(x39171),f171(x39171,x39172,x39173)),x39174))) % 183.16/183.17 [3919]E(f333(f333(f270(x39191,x39192),f333(f174(x39191),x39193)),f333(f16(f882(x39192,a870),x39191),f333(f174(x39192),x39194))),f333(f174(f881(x39191,x39192)),f59(x39191,x39192,x39193,x39194))) % 183.16/183.17 [3933]E(f156(x39331,x39332,f333(f333(f152(x39331),x39333),x39334)),f333(f333(f79(a875),f333(f333(f79(a875),f333(x39332,x39333)),f156(x39331,x39332,x39334))),f333(a115,f2(a875)))) % 183.16/183.17 [3947]E(f193(f876(x39471),f333(f333(f152(x39471),x39472),x39473),f333(f333(f7(a875,f876(x39471),f876(x39471)),f139(x39471)),x39473),x39474),f333(f333(f139(x39471),x39474),f333(f333(f152(x39471),x39472),x39473))) % 183.16/183.17 [3948]P20(x39481,f881(x39482,x39481),f337(x39483,x39484,x39482,x39481),f333(f333(f41(x39482,f882(x39481,a870)),x39484),x39483)) % 183.16/183.17 [3957]E(f333(f333(f22(f882(x39571,a870)),f333(f333(f22(f882(x39571,a870)),x39572),x39573)),f333(f333(f311(x39571),x39574),f196(f882(x39571,a870)))),f333(f333(f22(f882(x39571,a870)),x39572),f333(f333(f311(x39571),x39574),x39573))) % 183.16/183.17 [3969]E(f333(f333(f191(f882(x39691,x39692),f882(x39691,x39692)),x39693),f72(x39692,x39692,x39691,x39694)),f72(x39692,x39692,x39691,f333(f333(f191(x39692,x39692),x39693),x39694))) % 183.16/183.17 [4047]E(f333(f333(f333(f191(f876(x40471),f876(x40471)),x40472),f169(x40471)),f333(f333(f333(f191(f876(x40471),f876(x40471)),x40473),f169(x40471)),x40474)),f333(f333(f333(f191(f876(x40471),f876(x40471)),f333(f333(f79(a875),x40472),x40473)),f169(x40471)),x40474)) % 183.16/183.17 [4134]P23(f333(f333(f247(f882(x41341,a870)),f333(f174(x41341),f333(f333(f160(x41341,x41342),x41343),x41344))),f333(f333(f311(x41341),x41344),f333(f174(x41341),x41342)))) % 183.16/183.17 [4170]E(f333(f333(f41(f882(x41701,a870),f882(f881(x41701,x41702),a870)),x41703),f333(f333(f7(f882(x41701,a870),f882(x41701,f882(x41702,a870)),f882(f881(x41701,x41702),a870)),f270(x41701,x41702)),x41704)),f333(f333(f270(x41701,x41702),f39(f882(x41701,a870),x41703)),x41704)) % 183.16/183.17 [4208]E(f221(x42081,x42082,x42083,f333(f72(x42082,f882(a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(x42082))))),x42081,f220(x42082)),x42084)),f222(x42081,x42082,x42084,x42083)) % 183.16/183.17 [4225]E(f217(x42251,x42252,x42253,f333(f72(x42252,f882(a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(f879(x42252)))))),x42251,f216(x42252)),x42254)),f218(x42251,x42252,x42254,x42253)) % 183.16/183.17 [4230]P23(f333(f66(x42301,x42302,x42303,x42304,f196(f882(x42301,a870))),x42304)) % 183.16/183.17 [4272]E(f333(f333(f41(x42721,f882(x42722,a870)),x42723),f333(f333(f7(x42721,f882(x42722,a870),f882(x42722,a870)),f333(f333(f8(x42722,f882(f882(x42722,a870),f882(x42722,a870)),x42721),f311(x42722)),x42724)),f196(f882(x42722,a870)))),f333(f312(x42721,x42722,x42724),x42723)) % 183.16/183.17 [4279]P23(f333(f333(f247(f882(x42791,a870)),f333(f264(x42792,x42791),f333(f333(f104(f882(f881(x42792,x42791),a870)),x42793),x42794))),f333(f333(f104(f882(x42791,a870)),f333(f264(x42792,x42791),x42793)),f333(f264(x42792,x42791),x42794)))) % 183.16/183.17 [4280]P23(f333(f333(f247(f882(x42801,a870)),f333(f266(x42801,x42802),f333(f333(f104(f882(f881(x42801,x42802),a870)),x42803),x42804))),f333(f333(f104(f882(x42801,a870)),f333(f266(x42801,x42802),x42803)),f333(f266(x42801,x42802),x42804)))) % 183.16/183.17 [4342]P23(f333(f333(f247(f882(f881(x43421,x43422),a870)),f333(f312(x43422,f881(x43421,x43422),f337(x43423,x43424,x43421,x43422)),f333(f333(f41(x43421,f882(x43422,a870)),x43424),x43423))),f333(f333(f270(x43421,x43422),x43424),x43423))) % 183.16/183.17 [4343]E(f333(f121(x43431,f881(x43431,x43432),x43433),f333(f333(f8(f882(x43432,f877(f881(x43431,x43432))),f877(f881(x43431,x43432)),x43431),f121(x43432,f881(x43431,x43432),x43434)),f333(f333(f8(f882(x43432,f881(x43431,x43432)),f882(x43432,f877(f881(x43431,x43432))),x43431),f333(f8(f881(x43431,x43432),f877(f881(x43431,x43432)),x43432),f127(f881(x43431,x43432)))),f268(x43431,x43432)))),f132(x43431,x43432,x43433,x43434)) % 183.16/183.17 [4383]E(f84(f881(x43831,x43832),f333(f272(x43831,x43832,a870),f333(f333(f7(x43831,f882(x43832,a870),f882(x43832,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x43832,a870),f882(x43832,a870)),x43831),f8(a870,a870,x43832)),f333(f333(f8(a870,f882(a870,a870),x43831),a331),f333(a330,x43833)))),f333(a330,x43834)))),f333(f333(f268(x43831,x43832),x43833),x43834)) % 183.16/183.17 [4384]E(f89(f881(x43841,x43842),f333(f272(x43841,x43842,a870),f333(f333(f7(x43841,f882(x43842,a870),f882(x43842,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x43842,a870),f882(x43842,a870)),x43841),f8(a870,a870,x43842)),f333(f333(f8(a870,f882(a870,a870),x43841),a331),f333(a330,x43843)))),f333(a330,x43844)))),f333(f333(f268(x43841,x43842),x43843),x43844)) % 183.16/183.17 [4455]E(f333(f333(f272(f876(x44551),f876(x44551),f881(f876(x44551),f876(x44551))),f333(f333(f18(f876(x44551),f882(f876(x44551),f881(f876(x44551),f876(x44551))),f882(f876(x44551),f881(f876(x44551),f876(x44551)))),f333(f333(f8(f882(f876(x44551),f882(f881(f876(x44551),f876(x44551)),f881(f876(x44551),f876(x44551)))),f882(f882(f876(x44551),f881(f876(x44551),f876(x44551))),f882(f876(x44551),f881(f876(x44551),f876(x44551)))),f876(x44551)),f18(f876(x44551),f881(f876(x44551),f876(x44551)),f881(f876(x44551),f876(x44551)))),f333(f333(f8(f882(f876(x44551),f881(f876(x44551),f876(x44551))),f882(f876(x44551),f882(f881(f876(x44551),f876(x44551)),f881(f876(x44551),f876(x44551)))),f876(x44551)),f333(f8(f881(f876(x44551),f876(x44551)),f882(f881(f876(x44551),f876(x44551)),f881(f876(x44551),f876(x44551))),f876(x44551)),f333(f99(f881(f876(x44551),f876(x44551))),f333(x44552,x44553)))),f333(f333(f8(f876(x44551),f882(f876(x44551),f881(f876(x44551),f876(x44551))),f876(x44551)),f268(f876(x44551),f876(x44551))),f333(f152(x44551),x44553))))),f333(f333(f7(f876(x44551),f882(f876(x44551),f876(x44551)),f882(f876(x44551),f881(f876(x44551),f876(x44551)))),f333(f333(f8(f882(f876(x44551),f881(f876(x44551),f876(x44551))),f882(f882(f876(x44551),f876(x44551)),f882(f876(x44551),f881(f876(x44551),f876(x44551)))),f876(x44551)),f8(f876(x44551),f881(f876(x44551),f876(x44551)),f876(x44551))),f268(f876(x44551),f876(x44551)))),f333(f152(x44551),x44553)))),f168(x44551,x44552,x44554)),f168(x44551,x44552,f333(f333(f152(x44551),x44553),x44554))) % 183.16/183.17 [4461]E(f333(f143(f882(x44611,f879(x44612)),f881(x44611,x44612),f333(f7(f881(x44611,x44612),f882(x44611,f879(x44612)),f882(x44611,f879(x44612))),f333(f272(x44611,x44612,f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612)))),f333(f333(f7(x44611,f882(x44612,f879(x44612)),f882(x44612,f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612))))),f333(f333(f8(f882(f879(x44612),f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612)))),f882(f882(x44612,f879(x44612)),f882(x44612,f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612))))),x44611),f8(f879(x44612),f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612))),x44612)),f333(f333(f8(f882(f882(x44611,f879(x44612)),f882(f879(x44612),f882(x44611,f879(x44612)))),f882(f879(x44612),f882(f882(x44611,f879(x44612)),f882(x44611,f879(x44612)))),x44611),f7(f882(x44611,f879(x44612)),f879(x44612),f882(x44611,f879(x44612)))),f333(f7(f882(x44611,f879(x44612)),x44611,f882(f879(x44612),f882(x44611,f879(x44612)))),f71(x44611,f879(x44612)))))),f240(x44612)))),x44613),f333(f170(f881(x44611,x44612)),x44614)),f187(x44611,x44612,x44613,f333(f180(x44611,x44612),x44614))) % 183.16/183.17 [3550]E(f333(f197(f874(x35501)),f333(f333(f333(f91(x35501),x35502),x35503),x35504)),f2(a875)) % 183.16/183.17 [3674]E(f333(f333(f177(x36741),x36742),f333(f333(f177(x36741),x36743),x36744)),f333(f333(f177(x36741),f333(f333(f245(a875),x36742),x36743)),x36744)) % 183.16/183.17 [3675]E(f333(f333(f139(x36751),x36752),f333(f333(f139(x36751),x36753),x36754)),f333(f333(f139(x36751),f333(f333(f79(a875),x36752),x36753)),x36754)) % 183.16/183.17 [3687]E(f333(f333(f135(x36871),f333(f333(f152(x36871),x36872),x36873)),x36874),f333(f333(f152(x36871),x36872),f333(f333(f135(x36871),x36873),x36874))) % 183.16/183.17 [3688]E(f333(f333(f135(x36881),f333(f333(f135(x36881),x36882),x36883)),x36884),f333(f333(f135(x36881),x36882),f333(f333(f135(x36881),x36883),x36884))) % 183.16/183.17 [3771]E(f333(f333(f166(x37711),f333(f333(f152(x37711),x37712),x37713)),x37714),f193(x37711,x37712,f333(f166(x37711),x37713),x37714)) % 183.16/183.17 [3780]E(f333(f333(f191(x37801,x37801),x37802),f333(f333(f191(x37801,x37801),x37803),x37804)),f333(f333(f191(x37801,x37801),f333(f333(f80(a875),x37803),x37802)),x37804)) % 183.16/183.17 [3809]E(f333(f333(f113(f882(x38091,a870)),x38092),f333(f333(f311(x38091),x38093),x38094)),f333(f333(f311(x38091),x38093),f333(f333(f113(f882(x38091,a870)),x38092),x38094))) % 183.16/183.17 [3824]E(f333(f333(f333(f191(x38241,x38241),x38242),x38243),f333(x38243,x38244)),f333(x38243,f333(f333(f333(f191(x38241,x38241),x38242),x38243),x38244))) % 183.16/183.17 [3832]E(f333(f333(f290(x38321,x38322,x38323),f196(f882(f881(x38321,x38322),a870))),x38324),f196(f882(f881(x38321,x38323),a870))) % 183.16/183.17 [3848]E(f333(f333(f113(f882(x38481,a870)),f333(f333(f311(x38481),x38482),x38483)),x38484),f333(f333(f311(x38481),x38482),f333(f333(f113(f882(x38481,a870)),x38483),x38484))) % 183.16/183.17 [3868]E(f187(x38681,x38682,f333(f180(x38681,x38682),x38683),f333(f180(x38681,x38682),x38684)),f333(f180(x38681,x38682),f333(f333(f135(f881(x38681,x38682)),x38684),x38683))) % 183.16/183.17 [3869]E(f333(f37(f881(x38691,x38692)),f333(f333(f270(x38691,x38692),x38693),f333(f16(f882(x38692,a870),x38691),x38694))),f333(f333(f80(a875),f333(f37(x38691),x38693)),f333(f37(x38692),x38694))) % 183.16/183.17 [3876]E(f333(f333(f104(f882(x38761,a870)),f333(f333(f311(x38761),x38762),x38763)),f333(f333(f311(x38761),x38762),x38764)),f333(f333(f311(x38761),x38762),f333(f333(f104(f882(x38761,a870)),x38763),x38764))) % 183.16/183.17 [3891]E(f333(f333(f113(f882(x38911,a870)),x38912),f333(f333(f113(f882(x38911,a870)),x38913),x38914)),f333(f333(f113(f882(x38911,a870)),x38913),f333(f333(f113(f882(x38911,a870)),x38912),x38914))) % 183.16/183.17 [3892]E(f333(f333(f104(f882(x38921,a870)),x38922),f333(f333(f104(f882(x38921,a870)),x38923),x38924)),f333(f333(f104(f882(x38921,a870)),x38923),f333(f333(f104(f882(x38921,a870)),x38922),x38924))) % 183.16/183.17 [3901]E(f64(x39011,x39012,f333(f333(f8(x39012,f882(x39012,x39012),x39011),x39013),x39014)),f333(f65(x39012,x39011,x39013),x39014)) % 183.16/183.17 [3911]E(f182(x39111,f333(f333(f155(f876(x39112),f876(x39111)),f333(f155(x39112,x39111),x39113)),x39114)),f333(f333(f155(f876(x39112),f876(x39111)),f333(f155(x39112,x39111),x39113)),f182(x39112,x39114))) % 183.16/183.17 [3929]E(f333(f143(f876(x39291),f876(x39291),f135(x39291),f116(x39291)),f333(f333(f155(x39292,f876(x39291)),x39293),x39294)),f165(x39292,x39291,x39293,x39294)) % 183.16/183.17 [3932]E(f190(x39321,x39322,x39323,f333(f78(f882(x39321,a870)),f333(f333(f311(x39321),x39324),f196(f882(x39321,a870))))),f333(f333(f333(f71(x39321,f879(x39322)),x39323),x39324),f209(x39322))) % 183.16/183.17 [3974]E(f333(f333(f333(f71(x39741,f879(x39742)),f333(f180(x39741,x39742),x39743)),f333(f267(x39741,x39742),x39744)),f333(f240(x39742),f333(f271(x39741,x39742),x39744))),f333(f180(x39741,x39742),f333(f333(f152(f881(x39741,x39742)),x39744),x39743))) % 183.16/183.17 [3991]E(f333(f72(x39911,x39911,x39911,f333(f333(f191(x39911,x39911),x39912),x39913)),f333(f333(f191(x39911,x39911),x39914),x39913)),f333(f333(f191(x39911,x39911),f333(f333(f79(a875),x39912),x39914)),x39913)) % 183.16/183.17 [4016]E(f333(f333(f104(f882(x40161,a870)),f333(f333(f113(f882(x40161,a870)),x40162),x40163)),f333(f333(f113(f882(x40161,a870)),x40162),x40164)),f333(f333(f113(f882(x40161,a870)),x40162),f333(f333(f104(f882(x40161,a870)),x40163),x40164))) % 183.16/183.17 [4017]E(f333(f333(f104(f882(x40171,a870)),f333(f333(f22(f882(x40171,a870)),x40172),x40173)),f333(f333(f22(f882(x40171,a870)),x40172),x40174)),f333(f333(f22(f882(x40171,a870)),x40172),f333(f333(f113(f882(x40171,a870)),x40173),x40174))) % 183.16/183.17 [4018]E(f333(f333(f113(f882(x40181,a870)),f333(f333(f22(f882(x40181,a870)),x40182),x40183)),f333(f333(f22(f882(x40181,a870)),x40182),x40184)),f333(f333(f22(f882(x40181,a870)),x40182),f333(f333(f104(f882(x40181,a870)),x40183),x40184))) % 183.16/183.17 [4019]E(f333(f333(f113(f882(x40191,a870)),f333(f333(f104(f882(x40191,a870)),x40192),x40193)),f333(f333(f104(f882(x40191,a870)),x40192),x40194)),f333(f333(f104(f882(x40191,a870)),x40192),f333(f333(f113(f882(x40191,a870)),x40193),x40194))) % 183.16/183.17 [4020]E(f333(f333(f22(f882(x40201,a870)),f333(f333(f104(f882(x40201,a870)),x40202),x40203)),f333(f333(f104(f882(x40201,a870)),x40202),x40204)),f333(f333(f104(f882(x40201,a870)),x40202),f333(f333(f22(f882(x40201,a870)),x40203),x40204))) % 183.16/183.17 [4026]E(f333(f37(f881(x40261,x40262)),f333(f333(f270(x40261,x40262),f333(f333(f311(x40261),x40263),f196(f882(x40261,a870)))),f333(f16(f882(x40262,a870),x40261),x40264))),f333(f37(x40262),x40264)) % 183.16/183.17 [4063]E(f333(f333(f42(x40631,f882(x40632,a870)),x40633),f333(f333(f8(f882(x40632,a870),f882(x40632,a870),x40631),f78(f882(x40632,a870))),x40634)),f333(f78(f882(x40632,a870)),f333(f333(f41(x40631,f882(x40632,a870)),x40633),x40634))) % 183.16/183.17 [4064]E(f333(f333(f41(x40641,f882(x40642,a870)),x40643),f333(f333(f8(f882(x40642,a870),f882(x40642,a870),x40641),f78(f882(x40642,a870))),x40644)),f333(f78(f882(x40642,a870)),f333(f333(f42(x40641,f882(x40642,a870)),x40643),x40644))) % 183.16/183.17 [4078]E(f333(f333(f290(x40781,x40781,x40781),f333(f333(f191(f881(x40781,x40781),a870),x40782),x40783)),f333(f333(f191(f881(x40781,x40781),a870),x40784),x40783)),f333(f333(f191(f881(x40781,x40781),a870),f333(f333(f79(a875),x40782),x40784)),x40783)) % 183.16/183.17 [4109]E(f333(f333(f42(x41091,f882(f882(x41092,a870),a870)),x41093),f333(f333(f8(f882(x41092,a870),f882(f882(x41092,a870),a870),x41091),f310(x41092)),x41094)),f333(f310(x41092),f333(f333(f42(x41091,f882(x41092,a870)),x41093),x41094))) % 183.16/183.17 [4138]E(f333(f333(f41(f882(x41381,a870),f882(x41382,a870)),x41383),f333(f333(f7(f882(x41381,a870),f882(x41381,f882(x41382,a870)),f882(x41382,a870)),f41(x41381,f882(x41382,a870))),x41384)),f333(f333(f41(x41381,f882(x41382,a870)),f39(f882(x41381,a870),x41383)),x41384)) % 183.16/183.17 [4139]E(f333(f333(f42(f882(x41391,a870),f882(x41392,a870)),x41393),f333(f333(f7(f882(x41391,a870),f882(x41391,f882(x41392,a870)),f882(x41392,a870)),f42(x41391,f882(x41392,a870))),x41394)),f333(f333(f42(x41391,f882(x41392,a870)),f39(f882(x41391,a870),x41393)),x41394)) % 183.16/183.17 [4144]E(f333(f333(f155(x41441,x41442),x41443),f333(f143(f876(x41441),f876(x41441),f135(x41441),f116(x41441)),x41444)),f333(f143(f876(x41442),f876(x41442),f135(x41442),f116(x41442)),f333(f333(f155(f876(x41441),f876(x41442)),f333(f155(x41441,x41442),x41443)),x41444))) % 183.16/183.17 [4148]E(f193(f876(x41481),f116(x41481),f333(f333(f8(f876(x41481),f876(x41481),a875),f333(f152(x41481),x41482)),f333(f333(f7(a875,f876(x41481),f876(x41481)),f177(x41481)),x41483)),x41484),f333(f333(f177(x41481),x41484),f333(f333(f152(x41481),x41482),x41483))) % 183.16/183.17 [4190]P23(f333(f333(f247(f882(x41901,a870)),f333(f312(x41902,x41901,x41903),f333(f313(x41902,x41901,x41903),x41904))),x41904)) % 183.16/183.17 [4193]E(f333(f312(f881(x41931,x41932),f881(x41932,x41931),f333(f272(x41931,x41932,f881(x41932,x41931)),f333(f7(x41932,x41931,f881(x41932,x41931)),f268(x41932,x41931)))),f333(f333(f270(x41931,x41932),x41933),f333(f16(f882(x41932,a870),x41931),x41934))),f333(f333(f270(x41932,x41931),x41934),f333(f16(f882(x41931,a870),x41932),x41933))) % 183.16/183.17 [4202]E(f333(f333(f41(x42021,f882(x42022,a870)),x42023),f333(f333(f8(f882(x42021,a870),f882(x42022,a870),x42021),f313(x42022,x42021,x42024)),f333(f333(f7(x42021,f882(x42021,a870),f882(x42021,a870)),f311(x42021)),f196(f882(x42021,a870))))),f333(f313(x42022,x42021,x42024),x42023)) % 183.16/183.17 [4203]E(f333(f333(f41(x42031,f882(x42032,a870)),x42033),f333(f333(f8(f882(x42031,a870),f882(x42032,a870),x42031),f287(x42031,x42032,x42034)),f333(f333(f7(x42031,f882(x42031,a870),f882(x42031,a870)),f311(x42031)),f196(f882(x42031,a870))))),f333(f287(x42031,x42032,x42034),x42033)) % 183.16/183.17 [4294]E(f333(f333(f113(f882(x42941,a870)),f333(f333(f113(f882(x42941,a870)),f333(f333(f104(f882(x42941,a870)),x42942),x42943)),f333(f333(f104(f882(x42941,a870)),x42943),x42944))),f333(f333(f104(f882(x42941,a870)),x42944),x42942)),f333(f333(f104(f882(x42941,a870)),f333(f333(f104(f882(x42941,a870)),f333(f333(f113(f882(x42941,a870)),x42942),x42943)),f333(f333(f113(f882(x42941,a870)),x42943),x42944))),f333(f333(f113(f882(x42941,a870)),x42944),x42942))) % 183.16/183.17 [4356]E(f333(f143(f876(x43561),f876(x43561),f135(x43561),f116(x43561)),f333(f333(f155(x43562,f876(x43561)),f333(f333(f7(x43562,f876(x43561),f876(x43561)),f333(f333(f8(x43561,f882(f876(x43561),f876(x43561)),x43562),f152(x43561)),x43563)),f116(x43561))),x43564)),f333(f333(f155(x43562,x43561),x43563),x43564)) % 183.16/183.17 [4367]E(f333(f333(f85(a1,x43671),f333(f106(a1),f333(f333(f79(a1),x43672),a100))),f333(f333(f18(a1,x43671,x43671),f333(f333(f7(a1,x43671,f882(x43671,x43671)),f333(f333(f8(a870,f882(x43671,f882(x43671,x43671)),a1),f99(x43671)),a201)),x43673)),f333(f333(f8(a875,x43671,a1),x43674),a107))),f193(x43671,x43673,x43674,f333(f106(a875),x43672))) % 183.16/183.17 [4569]~P23(f333(f333(f196(f882(x45691,f882(x45692,a870))),x45693),x45694)) % 183.16/183.17 [3835]E(f333(f333(f166(x38351),f333(f333(f135(x38351),x38352),x38353)),f333(f333(f79(a875),f333(f197(f876(x38351)),x38352)),x38354)),f333(f333(f166(x38351),x38353),x38354)) % 183.16/183.17 [3841]E(f333(f333(f139(x38411),x38412),f333(f333(f177(x38411),f333(f333(f79(a875),x38413),x38412)),x38414)),f333(f333(f177(x38411),x38413),f333(f333(f139(x38411),x38412),x38414))) % 183.16/183.17 [3945]E(f333(f333(f113(f882(x39451,a870)),f333(f264(x39452,x39451),x39453)),f333(f264(x39452,x39451),x39454)),f333(f264(x39452,x39451),f333(f333(f113(f882(f881(x39452,x39451),a870)),x39453),x39454))) % 183.16/183.17 [3946]E(f333(f333(f113(f882(x39461,a870)),f333(f266(x39461,x39462),x39463)),f333(f266(x39461,x39462),x39464)),f333(f266(x39461,x39462),f333(f333(f113(f882(f881(x39461,x39462),a870)),x39463),x39464))) % 183.16/183.17 [3951]E(f333(f333(f113(f882(x39511,a870)),f333(f333(f113(f882(x39511,a870)),x39512),x39513)),x39514),f333(f333(f113(f882(x39511,a870)),x39512),f333(f333(f113(f882(x39511,a870)),x39513),x39514))) % 183.16/183.17 [3952]E(f333(f333(f22(f882(x39521,a870)),f333(f333(f104(f882(x39521,a870)),x39522),x39523)),x39524),f333(f333(f104(f882(x39521,a870)),x39522),f333(f333(f22(f882(x39521,a870)),x39523),x39524))) % 183.16/183.17 [3953]E(f333(f333(f104(f882(x39531,a870)),f333(f333(f104(f882(x39531,a870)),x39532),x39533)),x39534),f333(f333(f104(f882(x39531,a870)),x39532),f333(f333(f104(f882(x39531,a870)),x39533),x39534))) % 183.16/183.17 [3993]E(f333(f333(f113(f882(f881(x39931,x39932),a870)),f333(f288(x39932,x39931),x39933)),f333(f288(x39932,x39931),x39934)),f333(f288(x39932,x39931),f333(f333(f113(f882(f881(x39932,x39931),a870)),x39933),x39934))) % 183.16/183.17 [3994]E(f333(f333(f104(f882(f881(x39941,x39942),a870)),f333(f288(x39942,x39941),x39943)),f333(f288(x39942,x39941),x39944)),f333(f288(x39942,x39941),f333(f333(f104(f882(f881(x39942,x39941),a870)),x39943),x39944))) % 183.16/183.17 [4008]E(f333(f333(f113(f882(x40081,f882(x40082,a870))),f257(x40082,x40081,x40083)),f257(x40082,x40081,x40084)),f257(x40082,x40081,f333(f333(f113(f882(x40082,f882(x40081,a870))),x40083),x40084))) % 183.16/183.17 [4009]E(f333(f333(f104(f882(x40091,f882(x40092,a870))),f257(x40092,x40091,x40093)),f257(x40092,x40091,x40094)),f257(x40092,x40091,f333(f333(f104(f882(x40092,f882(x40091,a870))),x40093),x40094))) % 183.16/183.17 [4067]E(f333(f333(f104(f882(x40671,a870)),f333(f333(f113(f882(x40671,a870)),x40672),x40673)),f333(f333(f113(f882(x40671,a870)),x40674),x40673)),f333(f333(f113(f882(x40671,a870)),f333(f333(f104(f882(x40671,a870)),x40672),x40674)),x40673)) % 183.16/183.17 [4068]E(f333(f333(f113(f882(x40681,a870)),f333(f333(f22(f882(x40681,a870)),x40682),x40683)),f333(f333(f22(f882(x40681,a870)),x40684),x40683)),f333(f333(f22(f882(x40681,a870)),f333(f333(f113(f882(x40681,a870)),x40682),x40684)),x40683)) % 183.16/183.17 [4069]E(f333(f333(f113(f882(x40691,a870)),f333(f333(f104(f882(x40691,a870)),x40692),x40693)),f333(f333(f104(f882(x40691,a870)),x40694),x40693)),f333(f333(f104(f882(x40691,a870)),f333(f333(f113(f882(x40691,a870)),x40692),x40694)),x40693)) % 183.16/183.17 [4070]E(f333(f333(f22(f882(x40701,a870)),f333(f333(f104(f882(x40701,a870)),x40702),x40703)),f333(f333(f104(f882(x40701,a870)),x40704),x40703)),f333(f333(f104(f882(x40701,a870)),f333(f333(f22(f882(x40701,a870)),x40702),x40704)),x40703)) % 183.16/183.17 [4071]E(f333(f333(f22(f882(x40711,a870)),f333(f333(f104(f882(x40711,a870)),x40712),x40713)),f333(f333(f104(f882(x40711,a870)),x40714),x40713)),f333(f333(f22(f882(x40711,a870)),f333(f333(f104(f882(x40711,a870)),x40712),x40713)),x40714)) % 183.16/183.17 [4081]E(f333(f333(f22(f882(x40811,a870)),f333(f333(f22(f882(x40811,a870)),x40812),f333(f333(f311(x40811),x40813),f196(f882(x40811,a870))))),x40814),f333(f333(f22(f882(x40811,a870)),x40812),f333(f333(f311(x40811),x40813),x40814))) % 183.16/183.17 [4135]E(f333(f333(f113(f882(x41351,a870)),f333(f333(f311(x41351),x41352),f333(f333(f311(x41351),x41353),f196(f882(x41351,a870))))),f333(f286(x41351),x41354)),f333(f286(x41351),f333(f333(f311(f881(x41351,x41351)),f333(f333(f268(x41351,x41351),x41352),x41353)),x41354))) % 183.16/183.17 [4165]E(f333(f333(f41(a875,f882(x41651,a870)),f333(f302(a875),x41652)),f333(f333(f8(a875,f882(x41651,a870),a875),x41653),f333(f333(f7(a875,a875,a875),f79(a875)),x41654))),f333(f333(f41(a875,f882(x41651,a870)),f304(a875,x41654,f333(f333(f79(a875),x41652),x41654))),x41653)) % 183.16/183.17 [4166]E(f176(x41661,f333(f287(x41661,x41661,x41662),f333(f333(f311(x41661),x41663),f196(f882(x41661,a870)))),f333(f287(f876(x41661),f876(x41661),f159(x41661,x41662)),f333(f333(f311(f876(x41661)),x41664),f196(f882(f876(x41661),a870))))),f333(f287(f876(x41661),f876(x41661),f159(x41661,x41662)),f333(f333(f311(f876(x41661)),f333(f333(f152(x41661),x41663),x41664)),f196(f882(f876(x41661),a870))))) % 183.16/183.17 [4228]E(f333(f180(x42281,x42282),f333(f333(f155(x42281,f881(x42281,x42282)),f333(f333(f18(x42281,x42282,f881(x42281,x42282)),f268(x42281,x42282)),x42283)),x42284)),f190(x42281,x42282,f333(f72(x42282,f879(x42282),x42281,f240(x42282)),x42283),f333(f174(x42281),x42284))) % 183.16/183.17 [4233]E(f333(f253(x42331),f333(f333(f7(x42331,f882(x42332,a870),a870),f333(f333(f8(x42332,f882(f882(x42332,a870),a870),x42331),f335(x42332)),x42333)),x42334)),f333(f313(x42331,x42332,x42333),x42334)) % 183.16/183.17 [4327]E(f333(f253(x43271),f333(f333(f7(x43271,f882(f881(x43272,x43271),a870),a870),f333(f333(f8(f881(x43272,x43271),f882(f882(f881(x43272,x43271),a870),a870),x43271),f335(f881(x43272,x43271))),f333(f268(x43272,x43271),x43273))),x43274)),f333(f287(x43272,x43271,x43274),f333(f333(f311(x43272),x43273),f196(f882(x43272,a870))))) % 183.16/183.17 [4341]E(f333(f333(f155(f881(x43411,a875),x43411),f267(x43411,a875)),f333(f137(f881(x43411,a875),f333(f333(f8(a875,a870,f881(x43411,a875)),x43412),f333(f333(f8(a875,a875,f881(x43411,a875)),a115),f271(x43411,a875)))),f333(f333(f184(x43411,a875),x43413),x43414))),f333(f333(f155(f881(x43411,a875),x43411),f267(x43411,a875)),f333(f137(f881(x43411,a875),f333(f333(f8(a875,a870,f881(x43411,a875)),x43412),f271(x43411,a875))),f333(f333(f184(x43411,a875),x43413),f333(f333(f155(a875,a875),a115),x43414))))) % 183.16/183.17 [4349]P23(f333(f333(f247(f882(f882(x43491,a870),a870)),f333(f333(f41(x43492,f882(f882(x43491,a870),a870)),x43493),f333(f333(f8(f882(x43491,a870),f882(f882(x43491,a870),a870),x43492),f310(x43491)),x43494))),f333(f310(x43491),f333(f333(f41(x43492,f882(x43491,a870)),x43493),x43494)))) % 183.16/183.17 [4391]E(f333(f333(f85(a1,x43911),f333(f106(a1),f333(f333(f79(a1),x43912),a100))),f333(f333(f18(a1,x43911,x43911),f333(f333(f7(a1,x43911,f882(x43911,x43911)),f333(f333(f8(a870,f882(x43911,f882(x43911,x43911)),a1),f99(x43911)),a201)),x43913)),f333(f333(f18(a1,x43911,x43911),f333(f333(f8(a875,f882(x43911,x43911),a1),x43914),a107)),f333(f333(f8(a875,x43911,a1),f192(x43911,x43913,x43914)),a107)))),f333(f192(x43911,x43913,x43914),f333(f106(a875),x43912))) % 183.16/183.17 [4394]E(f333(f333(f155(x43941,x43942),f333(f72(f879(x43942),x43942,x43941,f244(x43942)),x43943)),f333(f137(x43941,f333(f333(f8(a870,a870,x43941),a328),f333(f333(f7(x43941,f879(x43942),a870),f333(f333(f8(f879(x43942),f882(f879(x43942),a870),x43941),a330),x43943)),f209(x43942)))),x43944)),f164(x43941,x43942,x43943,x43944)) % 183.16/183.17 [4417]E(f333(f253(f881(x44171,x44172)),f333(f272(x44171,x44172,a870),f333(f333(f7(x44171,f882(x44172,a870),f882(x44172,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x44172,a870),f882(x44172,a870)),x44171),f8(a870,a870,x44172)),f333(f333(f8(a870,f882(a870,a870),x44171),a331),f333(f333(f7(x44171,f882(x44171,a870),a870),f335(x44171)),x44173)))),f333(f333(f7(x44172,f882(x44172,a870),a870),f335(x44172)),x44174)))),f234(x44171,x44172,x44173,x44174)) % 183.16/183.17 [4450]E(f333(f333(f41(x44501,f882(f881(x44501,x44502),a870)),x44503),f333(f333(f18(x44501,f882(x44502,f882(f881(x44501,x44502),a870)),f882(f881(x44501,x44502),a870)),f333(f333(f8(f882(x44502,a870),f882(f882(x44502,f882(f881(x44501,x44502),a870)),f882(f881(x44501,x44502),a870)),x44501),f41(x44502,f882(f881(x44501,x44502),a870))),x44504)),f333(f333(f7(x44501,f882(f881(x44501,x44502),a870),f882(x44502,f882(f881(x44501,x44502),a870))),f333(f333(f8(f882(x44502,f882(f882(f881(x44501,x44502),a870),f882(f881(x44501,x44502),a870))),f882(f882(f881(x44501,x44502),a870),f882(x44502,f882(f881(x44501,x44502),a870))),x44501),f7(x44502,f882(f881(x44501,x44502),a870),f882(f881(x44501,x44502),a870))),f333(f333(f8(f882(x44502,f881(x44501,x44502)),f882(x44502,f882(f882(f881(x44501,x44502),a870),f882(f881(x44501,x44502),a870))),x44501),f333(f8(f881(x44501,x44502),f882(f882(f881(x44501,x44502),a870),f882(f881(x44501,x44502),a870)),x44502),f311(f881(x44501,x44502)))),f268(x44501,x44502)))),f196(f882(f881(x44501,x44502),a870))))),f333(f333(f270(x44501,x44502),x44503),x44504)) % 183.16/183.17 [4003]E(f333(f333(f135(x40031),f333(f333(f177(x40031),x40032),x40033)),f333(f333(f177(x40031),f333(f333(f22(a875),x40032),f333(f197(f876(x40031)),x40033))),x40034)),f333(f333(f177(x40031),x40032),f333(f333(f135(x40031),x40033),x40034))) % 183.16/183.17 [4004]E(f333(f333(f135(x40041),f333(f333(f139(x40041),x40042),x40043)),f333(f333(f139(x40041),f333(f333(f22(a875),x40042),f333(f197(f876(x40041)),x40043))),x40044)),f333(f333(f139(x40041),x40042),f333(f333(f135(x40041),x40043),x40044))) % 183.16/183.17 [4056]E(f333(f333(f79(a875),f333(f333(f80(a875),x40561),x40562)),f333(f333(f79(a875),f333(f333(f80(a875),x40563),x40562)),x40564)),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f79(a875),x40561),x40563)),x40562)),x40564)) % 183.16/183.17 [4258]P23(f333(f333(f247(f882(x42581,a870)),f333(f333(f22(f882(x42581,a870)),f333(f264(x42582,x42581),x42583)),f333(f264(x42582,x42581),x42584))),f333(f264(x42582,x42581),f333(f333(f22(f882(f881(x42582,x42581),a870)),x42583),x42584)))) % 183.16/183.17 [4259]P23(f333(f333(f247(f882(x42591,a870)),f333(f333(f22(f882(x42591,a870)),f333(f266(x42591,x42592),x42593)),f333(f266(x42591,x42592),x42594))),f333(f266(x42591,x42592),f333(f333(f22(f882(f881(x42591,x42592),a870)),x42593),x42594)))) % 183.16/183.17 [4369]E(f333(f333(f79(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x43691),x43692)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x43693),x43694)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),f333(f333(f79(a875),x43691),x43693)),f333(f333(f79(a875),x43692),x43694))),f196(f882(f881(a875,a875),a870)))))) % 183.16/183.17 [4412]E(f333(f333(f80(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x44121),x44122)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x44123),x44124)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),f333(f333(f79(a875),f333(f333(f80(a875),x44121),x44123)),f333(f333(f80(a875),x44122),x44124))),f333(f333(f79(a875),f333(f333(f80(a875),x44121),x44124)),f333(f333(f80(a875),x44122),x44123)))),f196(f882(f881(a875,a875),a870)))))) % 183.16/183.17 [4432]E(f333(f253(x44321),f333(f333(f8(f882(x44322,a870),a870,x44321),f87(x44322)),f333(f333(f8(f882(x44322,a870),f882(x44322,a870),x44321),f333(f18(x44322,a870,a870),f333(f333(f8(a870,f882(a870,a870),x44322),a336),f333(f333(f7(x44322,f882(x44322,a870),a870),f335(x44322)),x44323)))),f333(f333(f7(x44321,f882(x44322,f882(x44321,a870)),f882(x44322,a870)),f333(f333(f8(f882(f882(x44321,a870),a870),f882(f882(x44322,f882(x44321,a870)),f882(x44322,a870)),x44321),f8(f882(x44321,a870),a870,x44322)),f335(x44321))),x44324)))),f333(f333(f42(x44322,f882(x44321,a870)),x44323),x44324)) % 183.16/183.17 [4465]E(f333(f333(f290(x44651,x44651,x44651),f333(f333(f311(f881(x44651,x44651)),f333(f333(f268(x44651,x44651),x44652),x44653)),x44654)),f309(x44651,f333(f333(f311(f881(x44651,x44651)),f333(f333(f268(x44651,x44651),x44652),x44653)),x44654))),f333(f333(f113(f882(f881(x44651,x44651),a870)),f333(f333(f290(x44651,x44651,x44651),x44654),f309(x44651,x44654))),f333(f253(f881(x44651,x44651)),f333(f272(x44651,x44651,a870),f333(f333(f7(x44651,f882(x44651,a870),f882(x44651,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x44651,a870),f882(x44651,a870)),x44651),f8(a870,a870,x44651)),f333(f333(f8(a870,f882(a870,a870),x44651),a331),f333(f333(f7(x44651,f882(f881(x44651,x44651),a870),a870),f333(f333(f8(f881(x44651,x44651),f882(f882(f881(x44651,x44651),a870),a870),x44651),f335(f881(x44651,x44651))),f333(f333(f7(x44651,x44651,f881(x44651,x44651)),f268(x44651,x44651)),x44652))),f309(x44651,x44654))))),f333(f333(f7(x44651,f882(f881(x44651,x44651),a870),a870),f333(f333(f8(f881(x44651,x44651),f882(f882(f881(x44651,x44651),a870),a870),x44651),f335(f881(x44651,x44651))),f333(f268(x44651,x44651),x44653))),f309(x44651,x44654))))))) % 183.16/183.17 [4260]E(f333(f137(x42601,f333(f333(f18(x42601,a870,a870),f333(f333(f8(a870,f882(a870,a870),x42601),a331),x42602)),x42603)),x42604),f333(f137(x42601,x42603),f333(f137(x42601,x42602),x42604))) % 183.16/183.17 [4363]E(f333(f333(f135(x43631),f333(f333(f333(f99(f876(x43631)),f333(f333(f335(a875),f2(a875)),x43632)),f333(f333(f152(x43631),x43633),f116(x43631))),f116(x43631))),f178(x43631,x43634,f333(f253(a875),f333(f333(f7(a875,f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),a875),f335(a875)),a115)),x43632)))),f178(x43631,f333(f333(f152(x43631),x43633),x43634),x43632)) % 183.16/183.17 [4459]E(f333(f253(f881(x44591,x44592)),f333(f333(f8(f882(a875,a870),a870,f881(x44591,x44592)),f86(a875)),f333(f333(f7(f881(x44591,x44592),f882(a875,a870),f882(a875,a870)),f333(f333(f8(f882(a875,f882(a870,a870)),f882(f882(a875,a870),f882(a875,a870)),f881(x44591,x44592)),f18(a875,a870,a870)),f333(f333(f8(f882(a875,a870),f882(a875,f882(a870,a870)),f881(x44591,x44592)),f333(f8(a870,f882(a870,a870),a875),a331)),f333(f333(f7(f881(x44591,x44592),f882(a875,f881(x44591,x44592)),f882(a875,a870)),f333(f333(f8(f882(f881(x44591,x44592),a870),f882(f882(a875,f881(x44591,x44592)),f882(a875,a870)),f881(x44591,x44592)),f8(f881(x44591,x44592),a870,a875)),a330)),f333(f333(f18(a875,x44592,f881(x44591,x44592)),f333(f333(f8(x44591,f882(x44592,f881(x44591,x44592)),a875),f268(x44591,x44592)),f333(f166(x44591),x44593))),f333(f166(x44592),x44594)))))),f333(f333(f7(a875,a875,a870),f248(a875)),f333(f333(f245(a875),f333(f197(f876(x44591)),x44593)),f333(f197(f876(x44592)),x44594)))))),f333(f174(f881(x44591,x44592)),f333(f333(f184(x44591,x44592),x44593),x44594))) % 183.16/183.17 [4382]E(f333(f253(f881(x43821,x43822)),f333(f272(x43821,x43822,a870),f333(f333(f7(x43821,f882(x43822,a870),f882(x43822,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x43822,a870),f882(x43822,a870)),x43821),f8(a870,a870,x43822)),f333(f333(f8(a870,f882(a870,a870),x43821),a331),x43823))),x43824))),f333(f333(f270(x43821,x43822),f333(f253(x43821),x43823)),f333(f16(f882(x43822,a870),x43821),f333(f253(x43822),x43824)))) % 183.16/183.17 [4385]E(f333(f253(f881(x43851,x43852)),f333(f272(x43851,x43852,a870),f333(f333(f18(x43851,f882(x43852,a870),f882(x43852,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x43852,a870),f882(x43852,a870)),x43851),f8(a870,a870,x43852)),f333(f333(f8(a870,f882(a870,a870),x43851),a331),x43853))),x43854))),f333(f333(f270(x43851,x43852),f333(f253(x43851),x43853)),f333(f333(f8(f882(x43852,a870),f882(x43852,a870),x43851),f253(x43852)),x43854))) % 183.16/183.17 [4401]E(f333(f253(x44011),f333(f333(f8(f882(x44012,a870),a870,x44011),f87(x44012)),f333(f333(f8(f882(x44012,a870),f882(x44012,a870),x44011),f333(f18(x44012,a870,a870),f333(f333(f8(a870,f882(a870,a870),x44012),a336),f333(f333(f7(x44012,f882(x44012,a870),a870),f335(x44012)),x44013)))),x44014))),f333(f333(f42(x44012,f882(x44011,a870)),x44013),f333(f333(f8(f882(x44011,a870),f882(x44011,a870),x44012),f253(x44011)),f333(f7(x44011,x44012,a870),x44014)))) % 183.16/183.17 [4445]E(f333(f333(f155(f881(x44451,a875),x44451),f267(x44451,a875)),f333(f137(f881(x44451,a875),f333(f333(f7(f881(x44451,a875),f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),f881(x44451,a875)),f335(a875)),f271(x44451,a875))),x44452)),f333(f333(f184(x44451,a875),x44453),f140(a875,f333(f303(a875,x44454),f333(f333(f79(a875),x44454),f333(f197(f876(x44451)),x44453))))))),f333(f333(f155(f881(x44451,a875),x44451),f267(x44451,a875)),f333(f137(f881(x44451,a875),f333(f333(f7(f881(x44451,a875),f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),f881(x44451,a875)),f335(a875)),f333(f333(f7(f881(x44451,a875),a875,a875),f333(f333(f8(a875,f882(a875,a875),f881(x44451,a875)),f79(a875)),f271(x44451,a875))),x44454))),x44452)),f333(f333(f184(x44451,a875),x44453),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(x44451)),x44453))))))) % 183.16/183.17 [4446]E(f333(a115,f333(f333(f246(a875),f333(f197(f876(x44461)),x44462)),f333(f143(a875,f876(x44463),f333(f7(f876(x44463),a875,a875),f333(f333(f8(a875,f882(a875,a875),f876(x44463)),f246(a875)),f333(f333(f7(f876(x44463),a875,a875),f333(f333(f8(a875,f882(a875,a875),f876(x44463)),f22(a875)),f197(f876(x44463)))),f333(a115,f2(a875))))),f2(a875)),f333(f170(f876(x44463)),f333(f137(f876(x44463),f333(f333(f8(a870,a870,f876(x44463)),a328),f333(f333(f7(f876(x44463),f876(x44463),a870),a330),f116(x44463)))),x44464))))),f333(f333(f246(a875),f333(a115,f333(f197(f876(x44461)),x44462))),f333(f143(a875,f876(x44463),f333(f7(f876(x44463),a875,a875),f333(f333(f8(a875,f882(a875,a875),f876(x44463)),f246(a875)),f197(f876(x44463)))),f2(a875)),f333(f170(f876(x44463)),x44464)))) % 183.16/183.17 [4400]E(f333(f333(f135(x44001),f178(x44001,x44002,x44003)),f178(x44001,x44004,f333(f253(a875),f333(f333(f7(a875,f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),a875),f335(a875)),f333(f333(f7(a875,a875,a875),f79(a875)),f333(f197(f876(x44001)),x44002)))),x44003)))),f178(x44001,f333(f333(f135(x44001),x44002),x44004),x44003)) % 183.16/183.17 [4452]E(f333(f333(f152(f876(x44521)),f333(f333(f152(x44521),x44522),f333(f143(f876(x44521),f876(x44521),f135(x44521),f116(x44521)),f333(f333(f155(f876(x44521),f876(x44521)),f157(f876(x44521),x44521,f116(x44521),f333(f333(f8(f876(x44521),f882(f876(x44521),f876(x44521)),x44521),f16(f876(x44521),f876(x44521))),f333(f333(f7(x44521,f876(x44521),f876(x44521)),f152(x44521)),f116(x44521))))),x44523)))),f182(x44521,f333(f333(f152(f876(x44521)),x44524),f333(f143(f876(f876(x44521)),f876(f876(x44521)),f135(f876(x44521)),f116(f876(x44521))),f333(f333(f155(f876(x44521),f876(f876(x44521))),f157(f876(f876(x44521)),x44521,f116(f876(x44521)),f333(f16(f882(f876(x44521),f876(f876(x44521))),x44521),f333(f333(f7(f876(x44521),f876(f876(x44521)),f876(f876(x44521))),f152(f876(x44521))),f116(f876(x44521)))))),x44523))))),f182(x44521,f333(f333(f152(f876(x44521)),f333(f333(f152(x44521),x44522),x44524)),x44523))) % 183.16/183.17 [4460]E(f333(f253(f881(x44601,x44601)),f333(f272(x44601,x44601,a870),f333(f333(f7(x44601,f882(f881(x44602,x44602),a870),f882(x44601,a870)),f333(f333(f8(f882(x44601,f882(f882(f881(x44602,x44602),a870),a870)),f882(f882(f881(x44602,x44602),a870),f882(x44601,a870)),x44601),f7(x44601,f882(f881(x44602,x44602),a870),a870)),f333(f333(f8(f882(x44601,f881(x44602,x44602)),f882(x44601,f882(f882(f881(x44602,x44602),a870),a870)),x44601),f333(f8(f881(x44602,x44602),f882(f882(f881(x44602,x44602),a870),a870),x44601),f335(f881(x44602,x44602)))),f333(f333(f7(x44601,f882(x44601,x44602),f882(x44601,f881(x44602,x44602))),f333(f333(f8(f882(x44602,f881(x44602,x44602)),f882(f882(x44601,x44602),f882(x44601,f881(x44602,x44602))),x44601),f8(x44602,f881(x44602,x44602),x44601)),f333(f333(f8(x44602,f882(x44602,f881(x44602,x44602)),x44601),f268(x44602,x44602)),x44603))),x44603)))),x44604))),f333(f333(f289(x44602,x44601),x44604),x44603)) % 183.16/183.17 [4518]~E(f32(x45181,x45182),f29(x45183,x45184,x45185)) % 183.16/183.17 [4519]~E(f32(x45191,x45192),f28(x45193,x45194,x45195)) % 183.16/183.17 [4520]~E(f31(x45201,x45202),f29(x45203,x45204,x45205)) % 183.16/183.17 [4521]~E(f31(x45211,x45212),f28(x45213,x45214,x45215)) % 183.16/183.17 [4522]~E(f29(x45221,x45222,x45223),f32(x45224,x45225)) % 183.16/183.17 [4523]~E(f29(x45231,x45232,x45233),f31(x45234,x45235)) % 183.16/183.17 [4524]~E(f28(x45241,x45242,x45243),f32(x45244,x45245)) % 183.16/183.17 [4525]~E(f28(x45251,x45252,x45253),f31(x45254,x45255)) % 183.16/183.17 [3569]E(f333(f333(f155(x35691,x35692),x35693),f171(x35691,x35694,x35695)),f171(x35692,x35694,f333(x35693,x35695))) % 183.16/183.17 [3943]E(f333(f187(x39431,x39432,x39433,x39434),x39435),f333(f242(f879(x39432),x39432,f333(x39433,x39435),f240(x39432)),f333(x39434,x39435))) % 183.16/183.17 [4031]E(f187(x40311,x40312,f187(x40311,x40312,x40313,x40314),x40315),f187(x40311,x40312,x40313,f187(x40311,x40312,x40314,x40315))) % 183.16/183.17 [4207]E(f269(x42071,x42072,x42073,f257(x42072,x42071,x42074),f257(x42073,x42072,x42075)),f257(x42073,x42071,f269(x42073,x42072,x42071,x42075,x42074))) % 183.16/183.17 [4214]E(f333(f333(f113(f882(x42141,a870)),f333(f174(x42141),f333(f333(f177(x42141),f333(f197(f876(x42142)),x42143)),x42144))),f186(x42141,x42142,x42145)),f186(x42141,x42142,f189(x42141,x42142,x42145,x42144,x42143))) % 183.16/183.17 [3765]E(f333(f333(f272(x37651,x37652,x37653),x37654),x37655),f333(f333(x37654,f333(f267(x37651,x37652),x37655)),f333(f271(x37651,x37652),x37655))) % 183.16/183.17 [3792]E(f333(f242(x37921,x37922,x37923,x37924),f333(f240(x37922),x37925)),f333(x37924,x37925)) % 183.16/183.17 [3801]E(f333(f333(f333(f65(x38011,x38012,x38013),x38014),x38015),f196(f882(x38012,a870))),x38015) % 183.16/183.17 [3975]E(f243(x39751,x39752,x39753,x39754,f333(f240(x39752),x39755)),f333(x39754,x39755)) % 183.16/183.17 [4087]E(f333(f72(f879(x40871),f879(x40872),f879(x40873),f333(f210(x40871,x40872),x40874)),f333(f210(x40873,x40871),x40875)),f333(f210(x40873,x40872),f333(f72(x40871,x40872,x40873,x40874),x40875))) % 183.16/183.17 [4089]E(f333(f72(f876(x40891),f876(x40892),f876(x40893),f333(f155(x40891,x40892),x40894)),f333(f155(x40893,x40891),x40895)),f333(f155(x40893,x40892),f333(f72(x40891,x40892,x40893,x40894),x40895))) % 183.16/183.17 [4145]E(f333(f242(x41451,f881(x41452,f877(x41452)),x41453,f333(f272(x41452,f877(x41452),x41451),x41454)),f333(f136(x41452),x41455)),f131(x41451,x41452,x41453,x41454,x41455)) % 183.16/183.17 [4169]E(f84(x41691,f66(x41692,x41691,x41693,x41694,x41695)),f333(f333(f64(x41692,x41691,x41693),x41694),x41695)) % 183.16/183.17 [4205]E(f333(f333(f79(a875),f333(f333(f79(a875),f333(x42051,f333(f267(x42052,x42053),x42054))),f333(x42055,f333(f271(x42052,x42053),x42054)))),f333(a115,f2(a875))),f276(x42052,x42053,x42051,x42055,x42054)) % 183.16/183.17 [4396]E(f164(x43961,x43962,f333(f333(f7(x43961,f879(x43962),f879(x43962)),f333(f333(f18(x43961,f879(x43962),f882(f879(x43962),f879(x43962))),f333(f333(f8(a870,f882(f879(x43962),f882(f879(x43962),f879(x43962))),x43961),f99(f879(x43962))),x43963)),f333(f333(f8(x43962,f879(x43962),x43961),f240(x43962)),x43964))),f209(x43962)),x43965),f333(f333(f155(x43961,x43962),x43964),f333(f137(x43961,x43963),x43965))) % 183.16/183.17 [4561]~E(f333(f333(f333(f71(x45611,f879(x45612)),x45613),x45614),f333(f240(x45612),x45615)),f333(f16(f879(x45612),x45611),f209(x45612))) % 183.16/183.17 [3699]E(f333(f333(f177(x36991),x36992),f333(f333(f155(x36993,x36991),x36994),x36995)),f333(f333(f155(x36993,x36991),x36994),f333(f333(f177(x36993),x36992),x36995))) % 183.16/183.17 [3700]E(f333(f333(f139(x37001),x37002),f333(f333(f155(x37003,x37001),x37004),x37005)),f333(f333(f155(x37003,x37001),x37004),f333(f333(f139(x37003),x37002),x37005))) % 183.16/183.17 [3733]E(f333(f333(f155(x37331,x37332),x37333),f333(f333(f152(x37331),x37334),x37335)),f333(f333(f152(x37332),f333(x37333,x37334)),f333(f333(f155(x37331,x37332),x37333),x37335))) % 183.16/183.17 [3796]E(f333(f312(x37961,x37962,x37963),f333(f333(f311(x37961),x37964),x37965)),f333(f333(f311(x37962),f333(x37963,x37964)),f333(f312(x37961,x37962,x37963),x37965))) % 183.16/183.17 [3825]E(f175(x38251,f333(f333(f152(x38251),x38252),x38253),f333(f333(f152(x38251),x38254),x38255)),f333(f333(f152(x38251),x38252),f333(f333(f152(x38251),x38254),f175(x38251,x38253,x38255)))) % 183.16/183.17 [3862]E(f333(f333(f184(x38621,x38622),f333(f333(f177(x38621),x38623),x38624)),f333(f333(f177(x38622),x38623),x38625)),f333(f333(f177(f881(x38621,x38622)),x38623),f333(f333(f184(x38621,x38622),x38624),x38625))) % 183.16/183.17 [3863]E(f333(f333(f184(x38631,x38632),f333(f333(f139(x38631),x38633),x38634)),f333(f333(f139(x38632),x38633),x38635)),f333(f333(f139(f881(x38631,x38632)),x38633),f333(f333(f184(x38631,x38632),x38634),x38635))) % 183.16/183.17 [3875]E(f333(f333(f160(x38751,f333(f333(f152(x38751),x38752),x38753)),f333(a115,x38754)),x38755),f333(f333(f152(x38751),x38752),f333(f333(f160(x38751,x38753),x38754),x38755))) % 183.16/183.17 [3878]E(f333(f242(f879(x38781),x38782,f209(x38781),x38783),f333(f333(f16(f879(x38782),x38784),f209(x38782)),x38785)),f209(x38781)) % 183.16/183.17 [3880]E(f333(f333(f135(x38801),f333(f333(f155(x38802,x38801),x38803),x38804)),f333(f333(f155(x38802,x38801),x38803),x38805)),f333(f333(f155(x38802,x38801),x38803),f333(f333(f135(x38802),x38804),x38805))) % 183.16/183.17 [3884]E(f333(f333(x38841,x38842),f333(f333(f259(x38843,x38844,x38841),x38842),x38845)),f333(f333(f259(x38843,x38844,x38841),x38842),f333(a115,x38845))) % 183.16/183.17 [3914]E(f165(x39141,x39142,x39143,f333(f333(f152(x39141),x39144),x39145)),f333(f333(f135(x39142),f333(x39143,x39144)),f165(x39141,x39142,x39143,x39145))) % 183.16/183.17 [3927]E(f333(f333(f290(x39271,x39272,x39273),f333(f288(x39272,x39271),x39274)),f333(f288(x39273,x39272),x39275)),f333(f288(x39273,x39271),f333(f333(f290(x39273,x39272,x39271),x39275),x39274))) % 183.16/183.17 [3961]E(f333(f333(f333(f191(f876(x39611),f876(x39611)),x39612),f169(x39611)),f333(f333(f155(x39613,x39611),x39614),x39615)),f333(f333(f155(x39613,x39611),x39614),f333(f333(f333(f191(f876(x39613),f876(x39613)),x39612),f169(x39613)),x39615))) % 183.16/183.17 [3962]E(f333(f333(f274(x39621,x39622,x39621,x39623),f333(f268(x39622,x39621),x39624)),x39625),f333(x39625,x39624)) % 183.16/183.17 [3989]E(f156(x39891,x39892,f333(f333(f155(x39893,x39891),x39894),x39895)),f156(x39893,f333(f72(x39891,a875,x39893,x39892),x39894),x39895)) % 183.16/183.17 [4054]E(f333(f333(f72(f879(x40541),f879(x40542),x40543,f333(f210(x40541,x40542),x40544)),f333(f16(f879(x40541),x40543),f209(x40541))),x40545),f209(x40542)) % 183.16/183.17 [4055]E(f179(f881(x40551,x40552),f333(f72(x40552,a870,f881(x40551,x40552),x40553),f271(x40551,x40552)),f333(f333(f184(x40551,x40552),x40554),x40555)),f333(f333(f184(x40551,x40552),x40554),f179(x40552,x40553,x40555))) % 183.16/183.17 [4061]E(f333(f312(x40611,x40612,f333(f333(f8(x40613,x40612,x40611),x40614),x40615)),f256(f882(x40611,a870))),f333(f312(x40613,x40612,x40614),f333(f312(x40611,x40613,x40615),f256(f882(x40611,a870))))) % 183.16/183.17 [4074]E(f179(f881(x40741,x40742),f333(f72(x40741,a870,f881(x40741,x40742),x40743),f267(x40741,x40742)),f333(f333(f184(x40741,x40742),x40744),x40745)),f333(f333(f184(x40741,x40742),f179(x40741,x40743,x40744)),x40745)) % 183.16/183.17 [4093]E(f333(f333(f113(f882(x40931,a870)),f333(f313(x40931,x40932,x40933),f333(f333(f311(x40932),x40934),f196(f882(x40932,a870))))),f333(f313(x40931,x40932,x40933),x40935)),f333(f313(x40931,x40932,x40933),f333(f333(f311(x40932),x40934),x40935))) % 183.16/183.17 [4153]E(f333(f333(f135(f881(x41531,x41532)),f333(f333(f155(x41532,f881(x41531,x41532)),f333(f268(x41531,x41532),x41533)),x41534)),f59(x41531,x41532,x41535,x41534)),f59(x41531,x41532,f333(f333(f152(x41531),x41533),x41535),x41534)) % 183.16/183.17 [4154]E(f333(f333(f155(x41541,x41542),x41543),f179(x41541,f333(f72(x41542,a870,x41541,x41544),x41543),x41545)),f179(x41542,x41544,f333(f333(f155(x41541,x41542),x41543),x41545))) % 183.16/183.17 [4160]E(f333(f143(x41601,x41602,f333(f7(x41602,x41601,x41601),f333(f7(x41601,x41602,x41601),x41603)),x41604),f333(f170(x41602),f333(f170(x41602),x41605))),f333(f143(x41601,x41602,x41603,x41604),x41605)) % 183.16/183.17 [4161]E(f333(f333(f333(f71(x41611,f879(x41612)),f190(x41611,x41612,x41613,x41614)),x41615),f333(x41613,x41615)),f190(x41611,x41612,x41613,f333(f333(f311(x41611),x41615),x41614))) % 183.16/183.17 [4231]E(f333(f242(f876(x42311),x42311,f164(x42312,x42311,x42313,x42314),f333(f333(f7(x42311,f876(x42311),f876(x42311)),f152(x42311)),f164(x42312,x42311,x42313,x42314))),f333(x42313,x42315)),f164(x42312,x42311,x42313,f333(f333(f152(x42312),x42315),x42314))) % 183.16/183.17 [4268]P23(f333(f333(f247(f882(x42681,a870)),f333(f312(x42682,x42681,x42683),f333(f333(f104(f882(x42682,a870)),x42684),x42685))),f333(f333(f104(f882(x42681,a870)),f333(f312(x42682,x42681,x42683),x42684)),f333(f312(x42682,x42681,x42683),x42685)))) % 183.16/183.17 [4269]P23(f333(f333(f247(f882(x42691,a870)),f333(f287(x42692,x42691,x42693),f333(f333(f104(f882(x42692,a870)),x42694),x42695))),f333(f333(f104(f882(x42691,a870)),f333(f287(x42692,x42691,x42693),x42694)),f333(f287(x42692,x42691,x42693),x42695)))) % 183.16/183.17 [4370]E(f333(f271(x43701,x43702),f333(f273(x43703,x43701,x43702,x43702,x43704,f33(x43702)),x43705)),f333(f271(x43703,x43702),x43705)) % 183.16/183.17 [4371]E(f333(f267(x43711,x43712),f333(f273(x43711,x43711,x43713,x43712,f33(x43711),x43714),x43715)),f333(f267(x43711,x43713),x43715)) % 183.16/183.17 [4456]E(f333(f143(f882(x44561,f879(x44562)),f881(x44561,x44562),f333(f333(f8(f882(x44561,f882(x44562,f882(x44561,f879(x44562)))),f882(f881(x44561,x44562),f882(x44561,f879(x44562))),f882(x44561,f879(x44562))),f272(x44561,x44562,f882(x44561,f879(x44562)))),f333(f333(f7(f882(x44561,f879(x44562)),f882(x44562,f879(x44562)),f882(x44561,f882(x44562,f882(x44561,f879(x44562))))),f333(f333(f8(f882(x44561,f882(f882(x44562,f879(x44562)),f882(x44562,f882(x44561,f879(x44562))))),f882(f882(x44562,f879(x44562)),f882(x44561,f882(x44562,f882(x44561,f879(x44562))))),f882(x44561,f879(x44562))),f7(x44561,f882(x44562,f879(x44562)),f882(x44562,f882(x44561,f879(x44562))))),f333(f333(f8(f882(x44561,f882(f879(x44562),f882(x44561,f879(x44562)))),f882(x44561,f882(f882(x44562,f879(x44562)),f882(x44562,f882(x44561,f879(x44562))))),f882(x44561,f879(x44562))),f333(f8(f882(f879(x44562),f882(x44561,f879(x44562))),f882(f882(x44562,f879(x44562)),f882(x44562,f882(x44561,f879(x44562)))),x44561),f8(f879(x44562),f882(x44561,f879(x44562)),x44562))),f71(x44561,f879(x44562))))),f240(x44562))),x44563),f333(f333(f184(x44561,x44562),x44564),x44565)),f189(x44561,x44562,x44563,x44564,x44565)) % 183.16/183.17 [4458]P19(x44581,x44582,f333(f333(f311(f874(x44581)),f333(f333(f333(f91(x44581),f333(f333(f7(x44581,f882(a872,a870),f882(a872,a870)),f333(f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),x44581),f18(a872,a870,a870)),f333(f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),x44581),f333(f8(a870,f882(a870,a870),a872),a331)),x44583))),f333(f333(f8(a870,a870,a872),a328),x44584))),f31(x44584,x44585)),x44583)),f196(f882(f874(x44581),a870)))) % 183.16/183.17 [3538]E(f333(f333(f333(f333(f216(x35381),x35382),x35383),x35384),x35385),f200(x35381,x35382)) % 183.16/183.17 [3539]E(f333(f333(f333(f333(f220(x35391),x35392),x35393),x35394),x35395),f211(x35391,x35392)) % 183.16/183.17 [3585]E(f96(x35851,x35852,f333(f333(f333(f91(x35851),x35853),x35854),x35855)),f2(a875)) % 183.16/183.17 [3683]E(f333(f333(f333(f333(f71(x36831,x36832),x36833),x36834),x36835),x36834),x36835) % 183.16/183.17 [3915]E(f333(f333(f41(x39151,f882(x39152,a870)),f333(f333(f311(x39151),x39153),x39154)),x39155),f333(f333(f113(f882(x39152,a870)),f333(x39155,x39153)),f333(f333(f41(x39151,f882(x39152,a870)),x39154),x39155))) % 183.16/183.17 [3916]E(f333(f333(f42(x39161,f882(x39162,a870)),f333(f333(f311(x39161),x39163),x39164)),x39165),f333(f333(f104(f882(x39162,a870)),f333(x39165,x39163)),f333(f333(f42(x39161,f882(x39162,a870)),x39164),x39165))) % 183.16/183.17 [3968]E(f333(f121(x39681,x39682,f333(x39683,x39684)),f333(f333(f7(x39681,a102,f877(x39682)),x39685),x39684)),f333(f207(x39681,x39682,x39683,x39685),x39684)) % 183.16/183.17 [3982]E(f333(f333(f113(f882(x39821,a870)),f333(f312(x39822,x39821,x39823),x39824)),f333(f312(x39822,x39821,x39823),x39825)),f333(f312(x39822,x39821,x39823),f333(f333(f113(f882(x39822,a870)),x39824),x39825))) % 183.16/183.17 [3983]E(f333(f333(f113(f882(x39831,a870)),f333(f313(x39831,x39832,x39833),x39834)),f333(f313(x39831,x39832,x39833),x39835)),f333(f313(x39831,x39832,x39833),f333(f333(f113(f882(x39832,a870)),x39834),x39835))) % 183.16/183.17 [3984]E(f333(f333(f22(f882(x39841,a870)),f333(f313(x39841,x39842,x39843),x39844)),f333(f313(x39841,x39842,x39843),x39845)),f333(f313(x39841,x39842,x39843),f333(f333(f22(f882(x39842,a870)),x39844),x39845))) % 183.16/183.17 [3985]E(f333(f333(f104(f882(x39851,a870)),f333(f313(x39851,x39852,x39853),x39854)),f333(f313(x39851,x39852,x39853),x39855)),f333(f313(x39851,x39852,x39853),f333(f333(f104(f882(x39852,a870)),x39854),x39855))) % 183.16/183.17 [3986]E(f333(f333(f113(f882(x39861,a870)),f333(f287(x39862,x39861,x39863),x39864)),f333(f287(x39862,x39861,x39863),x39865)),f333(f287(x39862,x39861,x39863),f333(f333(f113(f882(x39862,a870)),x39864),x39865))) % 183.16/183.17 [3988]E(f190(x39881,x39882,f190(x39881,x39882,x39883,x39884),x39885),f190(x39881,x39882,x39883,f333(f333(f104(f882(x39881,a870)),x39884),x39885))) % 183.16/183.17 [4050]E(f333(f333(f160(x40501,f333(f333(f135(x40501),x40502),f333(f333(f152(x40501),x40503),x40504))),f333(f197(f876(x40501)),x40502)),x40505),f333(f333(f135(x40501),x40502),f333(f333(f152(x40501),x40505),x40504))) % 183.16/183.17 [4058]E(f333(f333(f42(x40581,f882(x40582,a870)),x40583),f333(f333(f8(f882(x40582,a870),f882(x40582,a870),x40581),f333(f311(x40582),x40584)),x40585)),f333(f333(f311(x40582),x40584),f333(f333(f42(x40581,f882(x40582,a870)),x40583),x40585))) % 183.16/183.17 [4127]E(f190(x41271,x41272,f333(f333(f333(f71(x41271,f879(x41272)),x41273),x41274),f333(f240(x41272),x41275)),f333(f78(f882(x41271,a870)),f333(f333(f311(x41271),x41274),f196(f882(x41271,a870))))),f190(x41271,x41272,x41273,f333(f78(f882(x41271,a870)),f333(f333(f311(x41271),x41274),f196(f882(x41271,a870)))))) % 183.16/183.17 [4218]E(f333(f333(f155(x42181,x42182),x42183),f333(f137(x42181,f333(f72(x42182,a870,x42181,x42184),x42183)),x42185)),f333(f137(x42182,x42184),f333(f333(f155(x42181,x42182),x42183),x42185))) % 183.16/183.17 [4224]E(f333(f197(f876(x42241)),f333(f137(x42241,x42242),f333(f333(f155(x42243,x42241),x42244),x42245))),f333(f197(f876(x42243)),f333(f137(x42243,f333(f72(x42241,a870,x42243,x42242),x42244)),x42245))) % 183.16/183.17 [4362]E(f333(f333(f113(f882(x43621,a870)),f333(f333(f22(f882(x43621,a870)),f186(x43621,x43622,x43623)),f333(f253(x43621),f333(f333(f7(x43621,f882(x43621,a870),a870),f335(x43621)),f333(f333(f22(f882(x43621,a870)),x43624),f186(x43621,x43622,x43625)))))),f333(f253(x43621),f333(f333(f7(x43621,f882(x43621,a870),a870),f335(x43621)),f333(f333(f104(f882(x43621,a870)),x43624),f186(x43621,x43622,x43625))))),f186(x43621,x43622,f75(x43621,f879(x43622),x43623,x43625,x43624))) % 183.16/183.17 [4437]E(f333(f157(f876(f881(x44371,x44372)),x44372,f116(f881(x44371,x44372)),f333(f333(f7(x44372,f882(f876(x44372),f876(f881(x44371,x44372))),f882(f876(x44372),f876(f881(x44371,x44372)))),f333(f333(f8(f882(f876(f881(x44371,x44372)),f876(f881(x44371,x44372))),f882(f882(f876(x44372),f876(f881(x44371,x44372))),f882(f876(x44372),f876(f881(x44371,x44372)))),x44372),f8(f876(f881(x44371,x44372)),f876(f881(x44371,x44372)),f876(x44372))),f333(f333(f8(f881(x44371,x44372),f882(f876(f881(x44371,x44372)),f876(f881(x44371,x44372))),x44372),f152(f881(x44371,x44372))),f333(f268(x44371,x44372),x44373)))),f333(f184(x44371,x44372),x44374))),x44375),f333(f333(f184(x44371,x44372),f333(f333(f152(x44371),x44373),x44374)),x44375)) % 183.16/183.17 [3909]E(f333(f333(f160(x39091,f333(f333(f160(x39091,x39092),x39093),x39094)),x39093),x39095),f333(f333(f160(x39091,x39092),x39093),x39095)) % 183.16/183.17 [3963]E(f333(f264(x39631,x39632),f333(f333(f311(f881(x39631,x39632)),f333(f333(f268(x39631,x39632),x39633),x39634)),x39635)),f333(f333(f311(x39632),x39634),f333(f264(x39631,x39632),x39635))) % 183.16/183.17 [3964]E(f333(f266(x39641,x39642),f333(f333(f311(f881(x39641,x39642)),f333(f333(f268(x39641,x39642),x39643),x39644)),x39645)),f333(f333(f311(x39641),x39643),f333(f266(x39641,x39642),x39645))) % 183.16/183.17 [4013]E(f123(x40131,x40132,f333(x40133,x40134),f333(f333(f7(x40131,a102,f877(f879(x40132))),x40135),x40134)),f333(f205(x40131,x40132,x40133,x40135),x40134)) % 183.16/183.17 [4043]E(f333(f333(f113(f882(f881(x40431,x40432),a870)),f333(f333(f270(x40431,x40432),x40433),x40434)),f333(f333(f270(x40431,x40432),x40435),x40434)),f333(f333(f270(x40431,x40432),f333(f333(f113(f882(x40431,a870)),x40433),x40435)),x40434)) % 183.16/183.17 [4044]E(f333(f333(f22(f882(f881(x40441,x40442),a870)),f333(f333(f270(x40441,x40442),x40443),x40444)),f333(f333(f270(x40441,x40442),x40445),x40444)),f333(f333(f270(x40441,x40442),f333(f333(f22(f882(x40441,a870)),x40443),x40445)),x40444)) % 183.16/183.17 [4045]E(f333(f333(f104(f882(f881(x40451,x40452),a870)),f333(f333(f270(x40451,x40452),x40453),x40454)),f333(f333(f270(x40451,x40452),x40455),x40454)),f333(f333(f270(x40451,x40452),f333(f333(f104(f882(x40451,a870)),x40453),x40455)),x40454)) % 183.16/183.17 [4105]E(f333(f333(f113(f882(x41051,a870)),f333(f333(f41(x41052,f882(x41051,a870)),x41053),x41054)),f333(f333(f41(x41052,f882(x41051,a870)),x41055),x41054)),f333(f333(f41(x41052,f882(x41051,a870)),f333(f333(f113(f882(x41052,a870)),x41053),x41055)),x41054)) % 183.16/183.17 [4106]E(f333(f333(f104(f882(x41061,a870)),f333(f333(f42(x41062,f882(x41061,a870)),x41063),x41064)),f333(f333(f42(x41062,f882(x41061,a870)),x41065),x41064)),f333(f333(f42(x41062,f882(x41061,a870)),f333(f333(f113(f882(x41062,a870)),x41063),x41065)),x41064)) % 183.16/183.17 [4120]E(f333(f333(f41(x41201,f882(x41202,a870)),x41203),f333(f333(f8(f882(x41202,a870),f882(x41202,a870),x41201),f333(f22(f882(x41202,a870)),x41204)),x41205)),f333(f333(f22(f882(x41202,a870)),x41204),f333(f333(f42(x41201,f882(x41202,a870)),x41203),x41205))) % 183.16/183.17 [4121]E(f333(f333(f41(x41211,f882(x41212,a870)),x41213),f333(f333(f8(f882(x41212,a870),f882(x41212,a870),x41211),f333(f104(f882(x41212,a870)),x41214)),x41215)),f333(f333(f104(f882(x41212,a870)),x41214),f333(f333(f41(x41211,f882(x41212,a870)),x41213),x41215))) % 183.16/183.17 [4122]E(f333(f333(f42(x41221,f882(x41222,a870)),x41223),f333(f333(f8(f882(x41222,a870),f882(x41222,a870),x41221),f333(f113(f882(x41222,a870)),x41224)),x41225)),f333(f333(f113(f882(x41222,a870)),x41224),f333(f333(f42(x41221,f882(x41222,a870)),x41223),x41225))) % 183.16/183.17 [4159]E(f187(x41591,x41592,x41593,f333(f180(x41591,x41592),f333(f170(f881(x41591,x41592)),f333(f333(f184(x41591,x41592),x41594),x41595)))),f189(x41591,x41592,x41593,x41594,x41595)) % 183.16/183.17 [4181]E(f193(f876(x41811),f333(f333(f152(x41811),x41812),x41813),f333(f333(f8(f876(x41811),f876(x41811),a875),f333(f152(x41811),x41814)),f333(f333(f7(a875,x41811,f876(x41811)),f160(x41811,x41813)),x41812)),x41815),f333(f333(f160(x41811,f333(f333(f152(x41811),x41814),x41813)),x41815),x41812)) % 183.16/183.17 [4185]E(f333(f333(f41(x41851,f882(f881(x41852,x41853),a870)),x41854),f333(f333(f8(f882(f881(x41853,x41852),a870),f882(f881(x41852,x41853),a870),x41851),f288(x41853,x41852)),x41855)),f333(f288(x41853,x41852),f333(f333(f41(x41851,f882(f881(x41853,x41852),a870)),x41854),x41855))) % 183.16/183.17 [4186]E(f333(f333(f42(x41861,f882(f881(x41862,x41863),a870)),x41864),f333(f333(f8(f882(f881(x41863,x41862),a870),f882(f881(x41862,x41863),a870),x41861),f288(x41863,x41862)),x41865)),f333(f288(x41863,x41862),f333(f333(f42(x41861,f882(f881(x41863,x41862),a870)),x41864),x41865))) % 183.16/183.17 [4242]E(f186(x42421,x42422,f333(f333(f18(x42421,f879(x42423),f879(x42422)),f333(f333(f8(f882(x42423,x42422),f882(f879(x42423),f879(x42422)),x42421),f210(x42423,x42422)),x42424)),x42425)),f186(x42421,x42423,x42425)) % 183.16/183.17 [4293]P23(f333(f333(f247(f882(x42931,a870)),f333(f333(f22(f882(x42931,a870)),f333(f312(x42932,x42931,x42933),x42934)),f333(f312(x42932,x42931,x42933),x42935))),f333(f312(x42932,x42931,x42933),f333(f333(f22(f882(x42932,a870)),x42934),x42935)))) % 183.16/183.17 [4441]E(f333(f157(f876(f881(x44411,x44412)),x44411,f116(f881(x44411,x44412)),f333(f333(f7(x44411,f882(f876(x44411),f876(f881(x44411,x44412))),f882(f876(x44411),f876(f881(x44411,x44412)))),f333(f333(f8(f882(f876(f881(x44411,x44412)),f876(f881(x44411,x44412))),f882(f882(f876(x44411),f876(f881(x44411,x44412))),f882(f876(x44411),f876(f881(x44411,x44412)))),x44411),f8(f876(f881(x44411,x44412)),f876(f881(x44411,x44412)),f876(x44411))),f333(f333(f8(f881(x44411,x44412),f882(f876(f881(x44411,x44412)),f876(f881(x44411,x44412))),x44411),f152(f881(x44411,x44412))),f333(f333(f7(x44411,x44412,f881(x44411,x44412)),f268(x44411,x44412)),x44413)))),f333(f333(f7(f876(x44411),f876(x44412),f876(f881(x44411,x44412))),f184(x44411,x44412)),x44414))),x44415),f333(f333(f184(x44411,x44412),x44415),f333(f333(f152(x44412),x44413),x44414))) % 183.16/183.17 [4147]E(f333(f333(f113(f882(x41471,a870)),f333(f287(x41472,x41471,x41473),x41474)),f333(f287(x41472,x41471,x41475),x41474)),f333(f287(x41472,x41471,f333(f333(f113(f882(f881(x41472,x41471),a870)),x41473),x41475)),x41474)) % 183.16/183.17 [4188]E(f333(f333(f135(f881(x41881,x41882)),f333(f333(f184(x41881,x41882),x41883),f333(f333(f177(x41882),f333(f197(f876(x41881)),x41883)),x41884))),f333(f333(f184(x41881,x41882),x41885),f333(f333(f139(x41882),f333(f197(f876(x41881)),x41883)),x41884))),f333(f333(f184(x41881,x41882),f333(f333(f135(x41881),x41883),x41885)),x41884)) % 183.16/183.17 [4296]E(f333(f333(f270(x42961,x42962),x42963),f333(f333(f18(x42961,f882(x42962,a870),f882(x42962,a870)),f333(f333(f8(f882(x42962,a870),f882(f882(x42962,a870),f882(x42962,a870)),x42961),f113(f882(x42962,a870))),x42964)),x42965)),f333(f333(f113(f882(f881(x42961,x42962),a870)),f333(f333(f270(x42961,x42962),x42963),x42964)),f333(f333(f270(x42961,x42962),x42963),x42965))) % 183.16/183.17 [4297]E(f333(f333(f270(x42971,x42972),x42973),f333(f333(f18(x42971,f882(x42972,a870),f882(x42972,a870)),f333(f333(f8(f882(x42972,a870),f882(f882(x42972,a870),f882(x42972,a870)),x42971),f22(f882(x42972,a870))),x42974)),x42975)),f333(f333(f22(f882(f881(x42971,x42972),a870)),f333(f333(f270(x42971,x42972),x42973),x42974)),f333(f333(f270(x42971,x42972),x42973),x42975))) % 183.16/183.17 [4298]E(f333(f333(f270(x42981,x42982),x42983),f333(f333(f18(x42981,f882(x42982,a870),f882(x42982,a870)),f333(f333(f8(f882(x42982,a870),f882(f882(x42982,a870),f882(x42982,a870)),x42981),f104(f882(x42982,a870))),x42984)),x42985)),f333(f333(f104(f882(f881(x42981,x42982),a870)),f333(f333(f270(x42981,x42982),x42983),x42984)),f333(f333(f270(x42981,x42982),x42983),x42985))) % 183.16/183.17 [4302]E(f333(f333(f41(x43021,f882(x43022,a870)),x43023),f333(f333(f7(x43021,f882(x43022,a870),f882(x43022,a870)),f333(f333(f8(f882(x43022,a870),f882(f882(x43022,a870),f882(x43022,a870)),x43021),f22(f882(x43022,a870))),x43024)),x43025)),f333(f333(f22(f882(x43022,a870)),f333(f333(f41(x43021,f882(x43022,a870)),x43023),x43024)),x43025)) % 183.16/183.17 [4303]E(f333(f333(f41(x43031,f882(x43032,a870)),x43033),f333(f333(f7(x43031,f882(x43032,a870),f882(x43032,a870)),f333(f333(f8(f882(x43032,a870),f882(f882(x43032,a870),f882(x43032,a870)),x43031),f104(f882(x43032,a870))),x43034)),x43035)),f333(f333(f104(f882(x43032,a870)),f333(f333(f41(x43031,f882(x43032,a870)),x43033),x43034)),x43035)) % 183.16/183.17 [4304]E(f333(f333(f42(x43041,f882(x43042,a870)),x43043),f333(f333(f7(x43041,f882(x43042,a870),f882(x43042,a870)),f333(f333(f8(f882(x43042,a870),f882(f882(x43042,a870),f882(x43042,a870)),x43041),f113(f882(x43042,a870))),x43044)),x43045)),f333(f333(f113(f882(x43042,a870)),f333(f333(f42(x43041,f882(x43042,a870)),x43043),x43044)),x43045)) % 183.16/183.17 [4308]E(f333(f333(f41(x43081,f882(x43082,a870)),x43083),f333(f333(f18(x43081,f882(x43082,a870),f882(x43082,a870)),f333(f333(f8(f882(x43082,a870),f882(f882(x43082,a870),f882(x43082,a870)),x43081),f113(f882(x43082,a870))),x43084)),x43085)),f333(f333(f113(f882(x43082,a870)),f333(f333(f41(x43081,f882(x43082,a870)),x43083),x43084)),f333(f333(f41(x43081,f882(x43082,a870)),x43083),x43085))) % 183.16/183.17 [4309]E(f333(f333(f42(x43091,f882(x43092,a870)),x43093),f333(f333(f18(x43091,f882(x43092,a870),f882(x43092,a870)),f333(f333(f8(f882(x43092,a870),f882(f882(x43092,a870),f882(x43092,a870)),x43091),f104(f882(x43092,a870))),x43094)),x43095)),f333(f333(f104(f882(x43092,a870)),f333(f333(f42(x43091,f882(x43092,a870)),x43093),x43094)),f333(f333(f42(x43091,f882(x43092,a870)),x43093),x43095))) % 183.16/183.17 [4323]E(f333(f333(f41(x43231,f882(x43232,a870)),x43233),f333(f333(f18(x43231,f882(x43232,a870),f882(x43232,a870)),f333(f333(f8(f882(x43232,a870),f882(f882(x43232,a870),f882(x43232,a870)),x43231),f113(f882(x43232,a870))),x43234)),x43235)),f333(f333(f113(f882(x43232,a870)),f39(f882(x43232,a870),f333(f312(x43231,f882(x43232,a870),x43234),x43233))),f39(f882(x43232,a870),f333(f312(x43231,f882(x43232,a870),x43235),x43233)))) % 183.16/183.17 [4324]E(f333(f333(f42(x43241,f882(x43242,a870)),x43243),f333(f333(f18(x43241,f882(x43242,a870),f882(x43242,a870)),f333(f333(f8(f882(x43242,a870),f882(f882(x43242,a870),f882(x43242,a870)),x43241),f104(f882(x43242,a870))),x43244)),x43245)),f333(f333(f104(f882(x43242,a870)),f40(f882(x43242,a870),f333(f312(x43241,f882(x43242,a870),x43244),x43243))),f40(f882(x43242,a870),f333(f312(x43241,f882(x43242,a870),x43245),x43243)))) % 183.16/183.17 [4358]E(f333(f333(f139(x43581),f333(f197(f876(x43581)),f179(x43581,x43582,f333(f333(f155(x43583,x43581),x43584),x43585)))),f333(f333(f155(x43583,x43581),x43584),x43585)),f333(f333(f155(x43583,x43581),x43584),f333(f333(f139(x43583),f333(f197(f876(x43583)),f179(x43583,f333(f72(x43581,a870,x43583,x43582),x43584),x43585))),x43585))) % 183.16/183.17 [4232]E(f333(f333(f135(f881(x42321,x42322)),f333(f333(f184(x42321,x42322),f333(f333(f177(x42321),f333(f197(f876(x42322)),x42323)),x42324)),x42323)),f333(f333(f184(x42321,x42322),f333(f333(f139(x42321),f333(f197(f876(x42322)),x42323)),x42324)),x42325)),f333(f333(f184(x42321,x42322),x42324),f333(f333(f135(x42322),x42323),x42325))) % 183.16/183.17 [4350]E(f84(x43501,f333(f333(f18(x43501,a870,a870),f333(f333(f8(a870,f882(a870,a870),x43501),a331),f333(f333(f7(x43501,f882(x43501,a870),a870),f335(x43501)),x43502))),f333(f333(f7(x43501,x43503,a870),f333(f333(f8(x43503,f882(x43503,a870),x43501),a330),x43504)),x43505))),f333(f76(x43501,x43503,x43502,x43504),x43505)) % 183.16/183.17 [4402]E(f333(f333(f85(a1,x44021),f333(f106(a1),f333(f333(f79(a1),x44022),a100))),f333(f333(f18(a1,x44021,x44021),f333(f333(f7(a1,x44021,f882(x44021,x44021)),f333(f333(f8(a870,f882(x44021,f882(x44021,x44021)),a1),f99(x44021)),a201)),f193(x44021,x44023,x44024,x44025))),f333(f333(f8(a875,x44021,a1),x44024),f333(f333(f7(a1,a875,a875),f333(f333(f8(a875,f882(a875,a875),a1),f79(a875)),a107)),x44025)))),f193(x44021,x44023,x44024,f333(f333(f79(a875),f333(f106(a875),x44022)),x44025))) % 183.16/183.17 [4438]E(f333(f180(x44381,x44382),f333(f333(f155(f881(x44381,x44383),f881(x44381,x44382)),f333(f272(x44381,x44383,f881(x44381,x44382)),f333(f333(f7(x44381,f882(x44383,x44382),f882(x44383,f881(x44381,x44382))),f333(f333(f8(f882(x44382,f881(x44381,x44382)),f882(f882(x44383,x44382),f882(x44383,f881(x44381,x44382))),x44381),f8(x44382,f881(x44381,x44382),x44383)),f268(x44381,x44382))),x44384))),x44385)),f333(f72(f879(x44383),f879(x44382),x44381,f333(f210(x44383,x44382),x44384)),f333(f180(x44381,x44383),x44385))) % 183.16/183.17 [4395]E(f186(x43951,x43952,f333(f333(f18(x43951,f879(x43952),f879(x43952)),f333(f333(f18(x43951,f879(x43952),f882(f879(x43952),f879(x43952))),f333(f333(f8(a870,f882(f879(x43952),f882(f879(x43952),f879(x43952))),x43951),f99(f879(x43952))),x43953)),x43954)),x43955)),f333(f333(f113(f882(x43951,a870)),f333(f333(f104(f882(x43951,a870)),f186(x43951,x43952,x43954)),f333(f253(x43951),x43953))),f333(f333(f104(f882(x43951,a870)),f186(x43951,x43952,x43955)),f333(f253(x43951),f333(f333(f8(a870,a870,x43951),a328),x43953))))) % 183.16/183.17 [4436]E(f333(f333(f85(a1,x44361),f333(f106(a1),f333(f333(f79(a1),x44362),a100))),f333(f333(f18(a1,x44361,x44361),f333(f333(f7(a1,x44361,f882(x44361,x44361)),f333(f333(f8(a870,f882(x44361,f882(x44361,x44361)),a1),f99(x44361)),a201)),f333(f192(x44361,x44363,x44364),x44365))),f333(f333(f18(a1,x44361,x44361),f333(f333(f8(a875,f882(x44361,x44361),a1),x44364),f333(f333(f7(a1,a875,a875),f333(f333(f8(a875,f882(a875,a875),a1),f79(a875)),a107)),x44365))),f333(f333(f8(a875,x44361,a1),f192(x44361,x44363,x44364)),f333(f333(f7(a1,a875,a875),f333(f333(f8(a875,f882(a875,a875),a1),f79(a875)),a107)),x44365))))),f333(f192(x44361,x44363,x44364),f333(f333(f79(a875),f333(f106(a875),x44362)),x44365))) % 183.16/183.17 [4470]E(f333(f253(f881(x44701,x44702)),f333(f272(x44701,x44702,a870),f333(f333(f8(f882(x44702,f882(x44703,a870)),f882(x44702,a870),x44701),f333(f8(f882(x44703,a870),a870,x44702),f86(x44703))),f333(f333(f7(x44701,f882(x44702,f882(x44703,a870)),f882(x44702,f882(x44703,a870))),f333(f333(f8(f882(f882(x44703,a870),f882(x44703,a870)),f882(f882(x44702,f882(x44703,a870)),f882(x44702,f882(x44703,a870))),x44701),f8(f882(x44703,a870),f882(x44703,a870),x44702)),f333(f333(f8(f882(x44703,f882(a870,a870)),f882(f882(x44703,a870),f882(x44703,a870)),x44701),f18(x44703,a870,a870)),f333(f333(f8(f882(x44703,a870),f882(x44703,f882(a870,a870)),x44701),f333(f8(a870,f882(a870,a870),x44703),a331)),f333(f333(f7(x44701,f882(f881(x44701,x44703),a870),f882(x44703,a870)),f333(f333(f8(f882(x44703,f882(f882(f881(x44701,x44703),a870),a870)),f882(f882(f881(x44701,x44703),a870),f882(x44703,a870)),x44701),f7(x44703,f882(f881(x44701,x44703),a870),a870)),f333(f333(f8(f882(x44703,f881(x44701,x44703)),f882(x44703,f882(f882(f881(x44701,x44703),a870),a870)),x44701),f333(f8(f881(x44701,x44703),f882(f882(f881(x44701,x44703),a870),a870),x44703),f335(f881(x44701,x44703)))),f268(x44701,x44703)))),x44704))))),f333(f333(f7(x44702,f882(f881(x44703,x44702),a870),f882(x44703,a870)),f333(f333(f8(f882(x44703,f882(f882(f881(x44703,x44702),a870),a870)),f882(f882(f881(x44703,x44702),a870),f882(x44703,a870)),x44702),f7(x44703,f882(f881(x44703,x44702),a870),a870)),f333(f333(f8(f882(x44703,f881(x44703,x44702)),f882(x44703,f882(f882(f881(x44703,x44702),a870),a870)),x44702),f333(f8(f881(x44703,x44702),f882(f882(f881(x44703,x44702),a870),a870),x44703),f335(f881(x44703,x44702)))),f333(f7(x44703,x44702,f881(x44703,x44702)),f268(x44703,x44702))))),x44705))))),f333(f333(f290(x44701,x44703,x44702),x44704),x44705)) % 183.16/183.17 [4546]~E(f28(x45461,x45462,x45463),f29(x45464,x45465,x45466)) % 183.16/183.17 [3998]E(f131(x39981,x39982,x39983,x39984,f128(x39982,x39985,x39986)),f333(f333(x39984,x39985),x39986)) % 183.16/183.17 [4216]E(f189(x42161,x42162,f187(x42161,x42162,x42163,x42164),x42165,x42166),f187(x42161,x42162,x42163,f189(x42161,x42162,x42164,x42165,x42166))) % 183.16/183.17 [4339]E(f333(f72(f881(x43391,x43392),x43392,f881(x43393,x43394),f271(x43391,x43392)),f273(x43393,x43391,x43394,x43392,x43395,x43396)),f333(f72(x43394,x43392,f881(x43393,x43394),x43396),f271(x43393,x43394))) % 183.16/183.17 [4340]E(f333(f72(f881(x43401,x43402),x43401,f881(x43403,x43404),f267(x43401,x43402)),f273(x43403,x43401,x43404,x43402,x43405,x43406)),f333(f72(x43403,x43401,f881(x43403,x43404),x43405),f267(x43403,x43404))) % 183.16/183.17 [3938]E(f333(f333(f72(x39381,x39382,x39383,x39384),x39385),x39386),f333(x39384,f333(x39385,x39386))) % 183.16/183.17 [3731]E(f333(f333(f272(x37311,x37312,x37313),x37314),f333(f333(f268(x37311,x37312),x37315),x37316)),f333(f333(x37314,x37315),x37316)) % 183.16/183.17 [3793]E(f333(f333(f333(f8(x37931,x37932,x37933),x37934),x37935),x37936),f333(x37934,f333(x37935,x37936))) % 183.16/183.17 [3794]E(f333(f333(f333(f7(x37941,x37942,x37943),x37944),x37945),x37946),f333(f333(x37944,x37946),x37945)) % 183.16/183.17 [3811]E(f333(f333(f333(f18(x38111,x38112,x38113),x38114),x38115),x38116),f333(f333(x38114,x38116),f333(x38115,x38116))) % 183.16/183.17 [3833]E(f333(f157(x38331,x38332,x38333,x38334),f333(f333(f152(x38332),x38335),x38336)),f333(f333(x38334,x38335),x38336)) % 183.16/183.17 [3874]E(f171(f881(x38741,x38742),f333(f333(f245(a875),x38743),x38744),f333(f333(f268(x38741,x38742),x38745),x38746)),f333(f333(f184(x38741,x38742),f171(x38741,x38743,x38745)),f171(x38742,x38744,x38746))) % 183.16/183.17 [3942]E(f333(f333(f152(f881(x39421,x39422)),f333(f333(f268(x39421,x39422),x39423),x39424)),f333(f333(f184(x39421,x39422),x39425),x39426)),f333(f333(f184(x39421,x39422),f333(f333(f152(x39421),x39423),x39425)),f333(f333(f152(x39422),x39424),x39426))) % 183.16/183.17 [3944]E(f333(f333(f155(x39441,x39442),x39443),f333(f333(f160(x39441,x39444),x39445),x39446)),f333(f333(f160(x39442,f333(f333(f155(x39441,x39442),x39443),x39444)),x39445),f333(x39443,x39446))) % 183.16/183.17 [3987]E(f333(f143(x39871,x39872,x39873,x39874),f333(f333(f152(x39872),x39875),x39876)),f333(f143(x39871,x39872,x39873,f333(f333(x39873,x39874),x39875)),x39876)) % 183.16/183.17 [4014]E(f275(x40141,x40142,x40143,x40144,f333(f333(f268(x40141,x40142),x40145),x40146)),f333(f333(x40144,x40145),x40146)) % 183.16/183.17 [4098]E(f333(f333(f41(x40981,f882(x40982,a870)),x40983),f333(f72(x40984,f882(x40982,a870),x40981,x40985),x40986)),f333(f333(f41(x40984,f882(x40982,a870)),f333(f312(x40981,x40984,x40986),x40983)),x40985)) % 183.16/183.17 [4150]E(f333(f333(f155(x41501,x41502),x41503),f333(f333(f155(x41504,x41501),x41505),x41506)),f333(f333(f155(x41504,x41502),f333(f72(x41501,x41502,x41504,x41503),x41505)),x41506)) % 183.16/183.17 [4152]E(f333(f333(f210(x41521,x41522),x41523),f333(f333(f210(x41524,x41521),x41525),x41526)),f333(f333(f210(x41524,x41522),f333(f72(x41521,x41522,x41524,x41523),x41525)),x41526)) % 183.16/183.17 [4157]E(f333(f312(x41571,x41572,f333(f72(x41573,x41572,x41571,x41574),x41575)),x41576),f333(f312(x41573,x41572,x41574),f333(f312(x41571,x41573,x41575),x41576))) % 183.16/183.17 [4158]E(f333(f313(x41581,x41582,f333(f72(x41583,x41582,x41581,x41584),x41585)),x41586),f333(f313(x41581,x41583,x41585),f333(f313(x41583,x41582,x41584),x41586))) % 183.16/183.17 [4187]E(f187(x41871,x41872,x41873,f333(f333(f333(f71(x41871,f879(x41872)),x41874),x41875),f333(f240(x41872),x41876))),f333(f333(f333(f71(x41871,f879(x41872)),f187(x41871,x41872,x41873,x41874)),x41875),f333(f240(x41872),x41876))) % 183.16/183.17 [4189]E(f333(f143(x41891,x41892,x41893,f333(f143(x41891,x41892,x41893,x41894),x41895)),x41896),f333(f143(x41891,x41892,x41893,x41894),f333(f333(f135(x41892),x41895),x41896))) % 183.16/183.17 [4329]E(f333(f273(x43291,x43291,x43292,x43293,f33(x43291),x43294),f333(f333(f268(x43291,x43292),x43295),x43296)),f333(f333(f268(x43291,x43293),x43295),f333(x43294,x43296))) % 183.16/183.17 [4330]E(f333(f273(x43301,x43302,x43303,x43303,x43304,f33(x43303)),f333(f333(f268(x43301,x43303),x43305),x43306)),f333(f333(f268(x43302,x43303),f333(x43304,x43305)),x43306)) % 183.16/183.17 [4420]E(f333(f333(f155(f881(x44201,x44202),f881(x44201,x44203)),f333(f272(x44201,x44202,f881(x44201,x44203)),f333(f333(f7(x44201,f882(x44202,x44203),f882(x44202,f881(x44201,x44203))),f333(f333(f8(f882(x44203,f881(x44201,x44203)),f882(f882(x44202,x44203),f882(x44202,f881(x44201,x44203))),x44201),f8(x44203,f881(x44201,x44203),x44202)),f268(x44201,x44203))),x44204))),f333(f333(f184(x44201,x44202),x44205),x44206)),f333(f333(f184(x44201,x44203),x44205),f333(f333(f155(x44202,x44203),x44204),x44206))) % 183.16/183.17 [3798]E(f97(x37981,x37982,x37983,f333(f333(f333(f91(x37981),x37984),x37985),x37986)),f333(f333(f333(x37983,x37984),x37985),x37986)) % 183.16/183.17 [3799]E(f98(x37991,x37992,x37993,f333(f333(f333(f91(x37991),x37994),x37995),x37996)),f333(f333(f333(x37993,x37994),x37995),x37996)) % 183.16/183.17 [3997]E(f333(f333(f72(x39971,x39972,x39973,f333(f16(x39972,x39971),x39974)),x39975),x39976),x39974) % 183.16/183.17 [4033]E(f333(f312(x40331,x40332,x40333),f333(f312(x40334,x40331,x40335),x40336)),f333(f312(x40334,x40332,f333(f333(f8(x40331,x40332,x40334),x40333),x40335)),x40336)) % 183.16/183.17 [4039]E(f333(f333(f41(x40391,f882(x40392,a870)),f333(f312(x40393,x40391,x40394),x40395)),x40396),f333(f333(f41(x40393,f882(x40392,a870)),x40395),f333(f333(f8(x40391,f882(x40392,a870),x40393),x40396),x40394))) % 183.16/183.17 [4040]E(f333(f333(f42(x40401,f882(x40402,a870)),f333(f312(x40403,x40401,x40404),x40405)),x40406),f333(f333(f42(x40403,f882(x40402,a870)),x40405),f333(f333(f8(x40401,f882(x40402,a870),x40403),x40406),x40404))) % 183.16/183.17 [4041]E(f333(f333(f41(x40411,f882(x40412,a870)),x40413),f333(f333(f8(x40414,f882(x40412,a870),x40411),x40415),x40416)),f333(f333(f41(x40414,f882(x40412,a870)),f333(f312(x40411,x40414,x40416),x40413)),x40415)) % 183.16/183.17 [4042]E(f333(f333(f42(x40421,f882(x40422,a870)),x40423),f333(f333(f8(x40424,f882(x40422,a870),x40421),x40425),x40426)),f333(f333(f42(x40424,f882(x40422,a870)),f333(f312(x40421,x40424,x40426),x40423)),x40425)) % 183.16/183.17 [4100]E(f333(f333(f41(x41001,f882(x41002,a870)),x41003),f333(f333(f8(f882(x41004,a870),f882(x41002,a870),x41001),f312(x41004,x41002,x41005)),x41006)),f333(f312(x41004,x41002,x41005),f333(f333(f41(x41001,f882(x41004,a870)),x41003),x41006))) % 183.16/183.17 [4101]E(f333(f333(f41(x41011,f882(x41012,a870)),x41013),f333(f333(f8(f882(x41014,a870),f882(x41012,a870),x41011),f313(x41012,x41014,x41015)),x41016)),f333(f313(x41012,x41014,x41015),f333(f333(f41(x41011,f882(x41014,a870)),x41013),x41016))) % 183.16/183.17 [4102]E(f333(f333(f42(x41021,f882(x41022,a870)),x41023),f333(f333(f8(f882(x41024,a870),f882(x41022,a870),x41021),f313(x41022,x41024,x41025)),x41026)),f333(f313(x41022,x41024,x41025),f333(f333(f42(x41021,f882(x41024,a870)),x41023),x41026))) % 183.16/183.17 [4103]E(f333(f333(f41(x41031,f882(x41032,a870)),x41033),f333(f333(f8(f882(x41034,a870),f882(x41032,a870),x41031),f287(x41034,x41032,x41035)),x41036)),f333(f287(x41034,x41032,x41035),f333(f333(f41(x41031,f882(x41034,a870)),x41033),x41036))) % 183.16/183.17 [4195]E(f333(f143(x41951,x41952,f333(f7(x41952,x41951,x41951),x41953),x41954),f333(f170(x41952),f333(f333(f152(x41952),x41955),x41956))),f333(f333(x41953,x41955),f333(f143(x41951,x41952,f333(f7(x41952,x41951,x41951),x41953),x41954),f333(f170(x41952),x41956)))) % 183.16/183.17 [4255]E(f333(f333(f18(f881(x42551,x42552),x42552,x42553),f333(f333(f8(x42554,f882(x42552,x42553),f881(x42551,x42552)),x42555),f333(f333(f8(x42551,x42554,f881(x42551,x42552)),x42556),f267(x42551,x42552)))),f271(x42551,x42552)),f333(f272(x42551,x42552,x42553),f333(f333(f8(x42554,f882(x42552,x42553),x42551),x42555),x42556))) % 183.16/183.17 [4262]E(f333(f143(x42621,x42622,f333(f7(x42622,x42621,x42621),x42623),f333(f143(x42621,x42622,f333(f7(x42622,x42621,x42621),x42623),x42624),f333(f170(x42622),x42625))),f333(f170(x42622),x42626)),f333(f143(x42621,x42622,f333(f7(x42622,x42621,x42621),x42623),x42624),f333(f170(x42622),f333(f333(f135(x42622),x42626),x42625)))) % 183.16/183.17 [4264]E(f333(f333(f155(f881(x42641,x42642),f881(x42643,x42642)),f333(f272(x42641,x42642,f881(x42643,x42642)),f333(f333(f8(x42643,f882(x42642,f881(x42643,x42642)),x42641),f268(x42643,x42642)),x42644))),f333(f333(f184(x42641,x42642),x42645),x42646)),f333(f333(f184(x42643,x42642),f333(f333(f155(x42641,x42643),x42644),x42645)),x42646)) % 183.16/183.17 [4312]P23(f333(f333(f247(f882(x43121,a870)),f333(f287(x43122,x43121,x43123),f333(f333(f42(x43124,f882(x43122,a870)),x43125),x43126))),f333(f333(f42(x43124,f882(x43121,a870)),x43125),f333(f333(f8(f882(x43122,a870),f882(x43121,a870),x43124),f287(x43122,x43121,x43123)),x43126)))) % 183.16/183.17 [4113]E(f333(f333(f184(x41131,x41132),f333(f333(f160(x41131,x41133),x41134),f333(f267(x41131,x41132),x41135))),f333(f333(f160(x41132,x41136),x41134),f333(f271(x41131,x41132),x41135))),f333(f333(f160(f881(x41131,x41132),f333(f333(f184(x41131,x41132),x41133),x41136)),x41134),x41135)) % 183.16/183.17 [4176]E(f333(f333(f113(f882(f881(x41761,x41762),a870)),f333(f333(f290(x41761,x41763,x41762),x41764),x41765)),f333(f333(f290(x41761,x41763,x41762),x41764),x41766)),f333(f333(f290(x41761,x41763,x41762),x41764),f333(f333(f113(f882(f881(x41763,x41762),a870)),x41765),x41766))) % 183.16/183.17 [4275]E(f333(f333(f311(f881(x42751,x42752)),f333(f333(f268(x42751,x42752),x42753),x42754)),f333(f333(f113(f882(f881(x42751,x42752),a870)),f333(f333(f270(x42751,x42752),x42755),f333(f16(f882(x42752,a870),x42751),f333(f333(f311(x42752),x42754),x42756)))),f333(f333(f270(x42751,x42752),f333(f333(f311(x42751),x42753),x42755)),f333(f16(f882(x42752,a870),x42751),x42756)))),f333(f333(f270(x42751,x42752),f333(f333(f311(x42751),x42753),x42755)),f333(f16(f882(x42752,a870),x42751),f333(f333(f311(x42752),x42754),x42756)))) % 183.16/183.17 [4353]E(f333(f333(f104(f882(x43531,a870)),f333(f313(x43531,x43532,f333(f72(f881(x43532,x43533),x43532,x43531,f267(x43532,x43533)),x43534)),x43535)),f333(f313(x43531,x43533,f333(f72(f881(x43532,x43533),x43533,x43531,f271(x43532,x43533)),x43534)),x43536)),f333(f313(x43531,f881(x43532,x43533),x43534),f333(f333(f270(x43532,x43533),x43535),f333(f16(f882(x43533,a870),x43532),x43536)))) % 183.16/183.17 [4097]E(f333(f333(f333(f71(x40971,x40972),f333(f333(f333(f71(x40971,x40972),x40973),x40974),x40975)),x40974),x40976),f333(f333(f333(f71(x40971,x40972),x40973),x40974),x40976)) % 183.16/183.17 [4201]E(f333(f333(f113(f882(f881(x42011,x42012),a870)),f333(f333(f290(x42011,x42013,x42012),x42014),x42015)),f333(f333(f290(x42011,x42013,x42012),x42016),x42015)),f333(f333(f290(x42011,x42013,x42012),f333(f333(f113(f882(f881(x42011,x42013),a870)),x42014),x42016)),x42015)) % 183.16/183.17 [4337]E(f333(f333(f41(x43371,f882(x43372,a870)),x43373),f333(f333(f7(x43371,f882(x43374,f882(x43372,a870)),f882(x43372,a870)),f333(f333(f8(f882(x43374,a870),f882(f882(x43374,f882(x43372,a870)),f882(x43372,a870)),x43371),f41(x43374,f882(x43372,a870))),x43375)),x43376)),f333(f333(f41(x43374,f882(x43372,a870)),f333(f333(f41(x43371,f882(x43374,a870)),x43373),x43375)),x43376)) % 183.16/183.17 [4338]E(f333(f333(f42(x43381,f882(x43382,a870)),x43383),f333(f333(f7(x43381,f882(x43384,f882(x43382,a870)),f882(x43382,a870)),f333(f333(f8(f882(x43384,a870),f882(f882(x43384,f882(x43382,a870)),f882(x43382,a870)),x43381),f42(x43384,f882(x43382,a870))),x43385)),x43386)),f333(f333(f42(x43384,f882(x43382,a870)),f333(f333(f41(x43381,f882(x43384,a870)),x43383),x43385)),x43386)) % 183.16/183.17 [4390]E(f333(f272(x43901,x43902,f881(x43903,x43904)),f333(f333(f7(x43901,f882(x43902,x43904),f882(x43902,f881(x43903,x43904))),f333(f333(f8(f882(x43904,f881(x43903,x43904)),f882(f882(x43902,x43904),f882(x43902,f881(x43903,x43904))),x43901),f8(x43904,f881(x43903,x43904),x43902)),f333(f333(f8(x43903,f882(x43904,f881(x43903,x43904)),x43901),f268(x43903,x43904)),x43905))),x43906)),f273(x43901,x43903,x43902,x43904,x43905,x43906)) % 183.16/183.17 [4311]E(f333(f333(f333(f71(x43111,f879(x43112)),f190(x43111,x43112,x43113,f333(f333(f22(f882(x43111,a870)),x43114),f333(f333(f311(x43111),x43115),f196(f882(x43111,a870)))))),x43115),x43116),f333(f333(f333(f71(x43111,f879(x43112)),f190(x43111,x43112,x43113,x43114)),x43115),x43116)) % 183.16/183.17 [4415]E(f333(f312(x44151,x44152,f333(f333(f18(x44151,x44152,x44152),f333(f333(f18(x44151,x44152,f882(x44152,x44152)),f333(f333(f8(a870,f882(x44152,f882(x44152,x44152)),x44151),f99(x44152)),x44153)),x44154)),x44155)),x44156),f333(f333(f113(f882(x44152,a870)),f333(f312(x44151,x44152,x44154),f333(f333(f104(f882(x44151,a870)),x44156),f333(f253(x44151),x44153)))),f333(f312(x44151,x44152,x44155),f333(f333(f104(f882(x44151,a870)),x44156),f333(f253(x44151),f333(f333(f8(a870,a870,x44151),a328),x44153)))))) % 183.16/183.17 [4426]E(f333(f312(x44261,f881(x44262,x44263),f333(f333(f18(x44261,x44263,f881(x44262,x44263)),f333(f333(f8(x44262,f882(x44263,f881(x44262,x44263)),x44261),f268(x44262,x44263)),x44264)),x44265)),x44266),f333(f333(f270(x44262,x44263),f333(f312(x44261,x44262,x44264),x44266)),f333(f333(f8(f882(x44261,a870),f882(x44263,a870),x44262),f312(x44261,x44263,x44265)),f333(f333(f7(x44262,f882(x44261,a870),f882(x44261,a870)),f333(f333(f8(f882(x44261,a870),f882(f882(x44261,a870),f882(x44261,a870)),x44262),f104(f882(x44261,a870))),f333(f333(f8(f882(x44262,a870),f882(x44261,a870),x44262),f313(x44261,x44262,x44264)),f333(f333(f7(x44262,f882(x44262,a870),f882(x44262,a870)),f311(x44262)),f196(f882(x44262,a870)))))),x44266)))) % 183.16/183.17 [4372]E(f333(f271(x43721,x43722),f333(f273(x43723,x43721,x43724,x43722,x43725,x43726),x43727)),f333(x43726,f333(f271(x43723,x43724),x43727))) % 183.16/183.17 [4373]E(f333(f267(x43731,x43732),f333(f273(x43733,x43731,x43734,x43732,x43735,x43736),x43737)),f333(x43735,f333(f267(x43733,x43734),x43737))) % 183.16/183.17 [4075]E(f333(f333(f184(x40751,x40752),f333(f333(f160(x40751,x40753),x40754),x40755)),f333(f333(f160(x40752,x40756),x40754),x40757)),f333(f333(f160(f881(x40751,x40752),f333(f333(f184(x40751,x40752),x40753),x40756)),x40754),f333(f333(f268(x40751,x40752),x40755),x40757))) % 183.16/183.17 [4143]E(f333(f333(f333(f274(x41431,x41432,x41433,x41434),x41435),x41436),x41437),f333(f333(f272(x41432,x41433,x41434),x41436),f333(x41435,x41437))) % 183.16/183.17 [4156]E(f333(f333(f333(f274(x41561,x41562,x41563,x41564),x41565),x41566),x41567),f333(f333(x41566,f333(f267(x41562,x41563),f333(x41565,x41567))),f333(f271(x41562,x41563),f333(x41565,x41567)))) % 183.16/183.17 [4191]E(f189(x41911,x41912,f333(f333(f333(f71(x41911,f879(x41912)),x41913),x41914),f333(f240(x41912),x41915)),x41916,x41917),f189(x41911,x41912,x41913,f333(f333(f152(x41911),x41914),x41916),f333(f333(f152(x41912),x41915),x41917))) % 183.16/183.17 [4210]E(f333(f72(x42101,x42102,x42103,x42104),f333(f72(x42105,x42101,x42103,x42106),x42107)),f333(f72(x42105,x42102,x42103,f333(f72(x42101,x42102,x42105,x42104),x42106)),x42107)) % 183.16/183.17 [4271]E(f333(f72(f879(x42711),f879(x42712),x42713,f333(f210(x42711,x42712),x42714)),f333(f333(f333(f71(x42713,f879(x42711)),x42715),x42716),f333(f240(x42711),x42717))),f333(f333(f333(f71(x42713,f879(x42712)),f333(f72(f879(x42711),f879(x42712),x42713,f333(f210(x42711,x42712),x42714)),x42715)),x42716),f333(f240(x42712),f333(x42714,x42717)))) % 183.16/183.17 [4397]E(f333(f273(x43971,x43972,x43973,x43973,x43974,f33(x43973)),f333(f273(x43971,x43971,x43975,x43973,f33(x43971),x43976),x43977)),f333(f333(f268(x43972,x43973),f333(x43974,f333(f267(x43971,x43975),x43977))),f333(x43976,f333(f271(x43971,x43975),x43977)))) % 183.16/183.17 [4398]E(f333(f273(x43981,x43981,x43982,x43983,f33(x43981),x43984),f333(f273(x43985,x43981,x43982,x43982,x43986,f33(x43982)),x43987)),f333(f333(f268(x43981,x43983),f333(x43986,f333(f267(x43985,x43982),x43987))),f333(x43984,f333(f271(x43985,x43982),x43987)))) % 183.16/183.17 [4413]E(f333(f273(x44131,x44132,x44133,x44133,x44134,f33(x44133)),f333(f273(x44135,x44131,x44133,x44133,x44136,f33(x44133)),x44137)),f333(f273(x44135,x44132,x44133,x44133,f333(f72(x44131,x44132,x44135,x44134),x44136),f33(x44133)),x44137)) % 183.16/183.17 [4414]E(f333(f273(x44141,x44141,x44142,x44143,f33(x44141),x44144),f333(f273(x44141,x44141,x44145,x44142,f33(x44141),x44146),x44147)),f333(f273(x44141,x44141,x44145,x44143,f33(x44141),f333(f72(x44142,x44143,x44145,x44144),x44146)),x44147)) % 183.16/183.17 [4423]E(f333(f273(x44231,x44232,x44233,x44233,x44234,f33(x44233)),f333(f273(x44231,x44231,x44235,x44233,f33(x44231),x44236),x44237)),f333(f273(x44232,x44232,x44235,x44233,f33(x44232),x44236),f333(f273(x44231,x44232,x44235,x44235,x44234,f33(x44235)),x44237))) % 183.16/183.17 [4110]E(f333(f333(f290(x41101,x41102,x41103),f333(f333(f290(x41101,x41104,x41102),x41105),x41106)),x41107),f333(f333(f290(x41101,x41104,x41103),x41105),f333(f333(f290(x41104,x41102,x41103),x41106),x41107))) % 183.16/183.17 [4182]E(f333(f333(f272(x41821,x41822,x41823),f333(f72(x41824,f882(x41822,x41823),x41821,x41825),x41826)),x41827),f333(f333(x41825,f333(x41826,f333(f267(x41821,x41822),x41827))),f333(f271(x41821,x41822),x41827))) % 183.16/183.17 [4235]E(f333(f72(x42351,x42352,x42353,x42354),f333(f333(f333(f71(x42353,x42351),x42355),x42356),x42357)),f333(f333(f333(f71(x42353,x42352),f333(f72(x42351,x42352,x42353,x42354),x42355)),x42356),f333(x42354,x42357))) % 183.16/183.17 [4267]E(f333(f143(x42671,x42672,f333(f7(x42672,x42671,x42671),x42673),x42674),f333(f170(x42672),f333(f333(f155(x42675,x42672),x42676),x42677))),f333(f143(x42671,x42675,f333(f7(x42675,x42671,x42671),f333(f72(x42672,f882(x42671,x42671),x42675,x42673),x42676)),x42674),f333(f170(x42675),x42677))) % 183.16/183.17 [4211]E(f333(f333(f41(x42111,f882(f881(x42112,x42113),a870)),x42114),f333(f333(f8(f882(f881(x42115,x42113),a870),f882(f881(x42112,x42113),a870),x42111),f333(f290(x42112,x42115,x42113),x42116)),x42117)),f333(f333(f290(x42112,x42115,x42113),x42116),f333(f333(f41(x42111,f882(f881(x42115,x42113),a870)),x42114),x42117))) % 183.16/183.17 [4359]E(f333(f333(f41(x43591,f882(f881(x43592,x43593),a870)),x43594),f333(f333(f7(x43591,f882(f881(x43595,x43593),a870),f882(f881(x43592,x43593),a870)),f333(f333(f8(f882(f881(x43592,x43595),a870),f882(f882(f881(x43595,x43593),a870),f882(f881(x43592,x43593),a870)),x43591),f290(x43592,x43595,x43593)),x43596)),x43597)),f333(f333(f290(x43592,x43595,x43593),f333(f333(f41(x43591,f882(f881(x43592,x43595),a870)),x43594),x43596)),x43597)) % 183.16/183.17 [4360]E(f333(f143(x43601,x43602,f333(f333(f7(x43601,f882(x43602,x43603),f882(x43602,x43601)),f333(f333(f8(f882(x43603,x43601),f882(f882(x43602,x43603),f882(x43602,x43601)),x43601),f8(x43603,x43601,x43602)),x43604)),x43605),x43606),x43607),f333(f143(x43601,x43603,x43604,x43606),f333(f333(f155(x43602,x43603),x43605),x43607))) % 183.16/183.17 [4424]E(f333(f333(f42(x44241,f882(x44242,a870)),x44243),f333(f333(f8(f882(x44244,f882(x44242,a870)),f882(x44242,a870),x44241),f333(f42(x44244,f882(x44242,a870)),x44245)),f333(f333(f7(x44241,f882(x44244,f882(x44242,a870)),f882(x44244,f882(x44242,a870))),f333(f333(f8(f882(f882(x44242,a870),f882(x44242,a870)),f882(f882(x44244,f882(x44242,a870)),f882(x44244,f882(x44242,a870))),x44241),f8(f882(x44242,a870),f882(x44242,a870),x44244)),f333(f333(f8(f882(x44242,a870),f882(f882(x44242,a870),f882(x44242,a870)),x44241),f113(f882(x44242,a870))),x44246))),x44247))),f333(f333(f113(f882(x44242,a870)),f333(f333(f42(x44241,f882(x44242,a870)),x44243),x44246)),f333(f333(f42(x44244,f882(x44242,a870)),x44245),x44247))) % 183.16/183.17 [4425]E(f333(f333(f41(x44251,f882(x44252,a870)),x44253),f333(f333(f8(f882(x44254,f882(x44252,a870)),f882(x44252,a870),x44251),f333(f41(x44254,f882(x44252,a870)),x44255)),f333(f333(f7(x44251,f882(x44254,f882(x44252,a870)),f882(x44254,f882(x44252,a870))),f333(f333(f8(f882(f882(x44252,a870),f882(x44252,a870)),f882(f882(x44254,f882(x44252,a870)),f882(x44254,f882(x44252,a870))),x44251),f8(f882(x44252,a870),f882(x44252,a870),x44254)),f333(f333(f8(f882(x44252,a870),f882(f882(x44252,a870),f882(x44252,a870)),x44251),f104(f882(x44252,a870))),x44256))),x44257))),f333(f333(f104(f882(x44252,a870)),f333(f333(f41(x44251,f882(x44252,a870)),x44253),x44256)),f333(f333(f41(x44254,f882(x44252,a870)),x44255),x44257))) % 183.16/183.17 [4418]E(f207(x44181,x44182,f333(f333(f333(x44183,x44184),x44185),x44186),f333(f333(f7(x44181,f881(a102,a102),f882(a102,f877(x44182))),f333(f333(f7(x44181,a102,f882(f881(a102,a102),f882(a102,f877(x44182)))),f333(f333(f7(x44181,a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(x44182))))),x44187),x44184)),x44185)),x44186)),f333(f333(f333(f221(x44181,x44182,x44183,x44187),x44184),x44185),x44186)) % 183.16/183.17 [4431]E(f208(x44311,x44312,f333(f333(f333(x44313,x44314),x44315),x44316),f333(f333(f7(x44311,f881(a102,a102),f882(a102,f877(x44312))),f333(f333(f7(x44311,a102,f882(f881(a102,a102),f882(a102,f877(x44312)))),f333(f333(f7(x44311,a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(x44312))))),x44317),x44314)),x44315)),x44316)),f223(x44311,x44312,x44313,x44317,x44314,x44315,x44316)) % 183.16/183.17 [4422]E(f205(x44221,x44222,f333(f333(f333(x44223,x44224),x44225),x44226),f333(f333(f7(x44221,f881(a102,a102),f882(a102,f877(f879(x44222)))),f333(f333(f7(x44221,a102,f882(f881(a102,a102),f882(a102,f877(f879(x44222))))),f333(f333(f7(x44221,a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(f879(x44222)))))),x44227),x44224)),x44225)),x44226)),f333(f333(f333(f217(x44221,x44222,x44223,x44227),x44224),x44225),x44226)) % 183.16/183.17 [4433]E(f206(x44331,x44332,f333(f333(f333(x44333,x44334),x44335),x44336),f333(f333(f7(x44331,f881(a102,a102),f882(a102,f877(f879(x44332)))),f333(f333(f7(x44331,a102,f882(f881(a102,a102),f882(a102,f877(f879(x44332))))),f333(f333(f7(x44331,a102,f882(a102,f882(f881(a102,a102),f882(a102,f877(f879(x44332)))))),x44337),x44334)),x44335)),x44336)),f219(x44331,x44332,x44333,x44337,x44334,x44335,x44336)) % 183.16/183.17 [4331]E(f333(f273(x43311,x43312,x43313,x43314,x43315,x43316),f333(f333(f268(x43311,x43313),x43317),x43318)),f333(f333(f268(x43312,x43314),f333(x43315,x43317)),f333(x43316,x43318))) % 183.16/183.17 [4435]E(f333(f333(f155(f881(x44351,x44352),f881(x44353,x44354)),f333(f272(x44351,x44352,f881(x44353,x44354)),f333(f333(f7(x44351,f882(x44352,x44354),f882(x44352,f881(x44353,x44354))),f333(f333(f8(f882(x44354,f881(x44353,x44354)),f882(f882(x44352,x44354),f882(x44352,f881(x44353,x44354))),x44351),f8(x44354,f881(x44353,x44354),x44352)),f333(f333(f8(x44353,f882(x44354,f881(x44353,x44354)),x44351),f268(x44353,x44354)),x44355))),x44356))),f333(f333(f184(x44351,x44352),x44357),x44358)),f333(f333(f184(x44353,x44354),f333(f333(f155(x44351,x44353),x44355),x44357)),f333(f333(f155(x44352,x44354),x44356),x44358))) % 183.16/183.17 [4439]E(f333(f333(f155(f881(x44391,x44392),x44393),f333(f272(x44391,x44392,x44393),f333(f333(f8(f882(x44392,f881(x44391,x44394)),f882(x44392,x44393),x44391),f333(f8(f881(x44391,x44394),x44393,x44392),x44395)),f333(f333(f7(x44391,f882(x44392,x44394),f882(x44392,f881(x44391,x44394))),f333(f333(f8(f882(x44394,f881(x44391,x44394)),f882(f882(x44392,x44394),f882(x44392,f881(x44391,x44394))),x44391),f8(x44394,f881(x44391,x44394),x44392)),f268(x44391,x44394))),x44396)))),f333(f333(f184(x44391,x44392),x44397),x44398)),f333(f333(f155(f881(x44391,x44394),x44393),x44395),f333(f333(f184(x44391,x44394),x44397),f333(f333(f155(x44392,x44394),x44396),x44398)))) % 183.16/183.17 [4364]E(f333(f333(f155(f881(x43641,x43642),x43643),f333(f272(x43641,x43642,x43643),f333(f333(f8(f882(x43642,f881(x43644,x43642)),f882(x43642,x43643),x43641),f333(f8(f881(x43644,x43642),x43643,x43642),x43645)),f333(f333(f8(x43644,f882(x43642,f881(x43644,x43642)),x43641),f268(x43644,x43642)),x43646)))),f333(f333(f184(x43641,x43642),x43647),x43648)),f333(f333(f155(f881(x43644,x43642),x43643),x43645),f333(f333(f184(x43644,x43642),f333(f333(f155(x43641,x43644),x43646),x43647)),x43648))) % 183.16/183.17 [4322]E(f333(f333(f272(x43221,x43222,x43223),f333(f333(f8(f882(x43222,f881(x43224,x43225)),f882(x43222,x43223),x43221),f333(f8(f881(x43224,x43225),x43223,x43222),f333(f272(x43224,x43225,x43223),x43226))),x43227)),x43228),f333(f333(f272(x43224,x43225,x43223),x43226),f333(f333(f272(x43221,x43222,f881(x43224,x43225)),x43227),x43228))) % 183.16/183.17 [4440]E(f333(f333(f41(f881(x44401,x44402),f882(f881(x44403,x44404),a870)),f333(f333(f270(x44401,x44402),x44405),f333(f16(f882(x44402,a870),x44401),x44406))),f333(f272(x44401,x44402,f882(f881(x44403,x44404),a870)),f333(f333(f7(x44401,f882(x44402,f882(x44403,f882(x44404,a870))),f882(x44402,f882(f881(x44403,x44404),a870))),f333(f333(f8(f882(f882(x44403,f882(x44404,a870)),f882(f881(x44403,x44404),a870)),f882(f882(x44402,f882(x44403,f882(x44404,a870))),f882(x44402,f882(f881(x44403,x44404),a870))),x44401),f8(f882(x44403,f882(x44404,a870)),f882(f881(x44403,x44404),a870),x44402)),f333(f333(f8(f882(x44403,a870),f882(f882(x44403,f882(x44404,a870)),f882(f881(x44403,x44404),a870)),x44401),f270(x44403,x44404)),x44407))),f333(f333(f8(f882(x44404,a870),f882(x44403,f882(x44404,a870)),x44402),f16(f882(x44404,a870),x44403)),x44408)))),f333(f333(f270(x44403,x44404),f333(f333(f41(x44401,f882(x44403,a870)),x44405),x44407)),f333(f16(f882(x44404,a870),x44403),f333(f333(f41(x44402,f882(x44404,a870)),x44406),x44408)))) % 183.16/183.17 [4378]E(f333(f333(f274(x43781,x43782,x43783,x43784),f333(f333(f274(x43781,x43785,x43786,f881(x43782,x43783)),x43787),x43788)),x43789),f333(f333(f274(x43781,x43785,x43786,x43784),x43787),f333(f333(f7(x43785,f882(x43782,f882(x43783,x43784)),f882(x43786,x43784)),f333(f333(f8(f882(x43786,f881(x43782,x43783)),f882(f882(x43782,f882(x43783,x43784)),f882(x43786,x43784)),x43785),f274(x43786,x43782,x43783,x43784)),x43788)),x43789))) % 183.16/183.17 [4410]E(f333(f72(f881(x44101,x44102),f881(x44103,x44104),f881(x44105,x44106),f273(x44101,x44103,x44102,x44104,x44107,x44108)),f273(x44105,x44101,x44106,x44102,x44109,x441010)),f273(x44105,x44103,x44106,x44104,f333(f72(x44101,x44103,x44105,x44107),x44109),f333(f72(x44102,x44104,x44106,x44108),x441010))) % 183.16/183.17 [4416]E(f333(f273(x44161,x44162,x44163,x44164,x44165,x44166),f333(f273(x44167,x44161,x44168,x44163,x44169,x441610),x441611)),f333(f273(x44167,x44162,x44168,x44164,f333(f72(x44161,x44162,x44167,x44165),x44169),f333(f72(x44163,x44164,x44168,x44166),x441610)),x441611)) % 183.16/183.17 [4582]~P92(x45821)+E(f90(x45821),a330) % 183.16/183.17 [4583]~P25(x45831)+P25(f879(x45831)) % 183.16/183.17 [4584]~P57(x45841)+P57(f879(x45841)) % 183.16/183.17 [4585]~P101(x45851)+P101(f876(x45851)) % 183.16/183.17 [4588]~P140(x45881)+~E(f77(x45881),f2(x45881)) % 183.16/183.17 [4590]~E(x45901,f2(a102))+E(f333(a20,x45901),f2(a1)) % 183.16/183.17 [4591]~E(x45911,f2(a1))+E(f81(a1,x45911),f2(a1)) % 183.16/183.17 [4597]~P141(x45971)+P30(x45971,f2(x45971)) % 183.16/183.17 [4599]~P106(x45991)+P28(x45991,f116(x45991)) % 183.16/183.17 [4608]P23(x46081)+P23(f333(a328,x46081)) % 183.16/183.17 [4651]~P141(x46511)+~P30(x46511,f77(x46511)) % 183.16/183.17 [4698]~P23(x46981)+~P23(f333(a328,x46981)) % 183.16/183.17 [4721]E(f333(a107,x47211),f2(a875))+~P23(f333(a201,x47211)) % 183.16/183.17 [4787]~P98(x47871)+P10(x47871,x47871,f113(x47871)) % 183.16/183.17 [4788]~P99(x47881)+P10(x47881,x47881,f104(x47881)) % 183.16/183.17 [4789]~P94(x47891)+P10(x47891,x47891,f80(x47891)) % 183.16/183.17 [4790]~P106(x47901)+P10(x47901,x47901,f245(x47901)) % 183.16/183.17 [4791]~P106(x47911)+P10(x47911,x47911,f246(x47911)) % 183.16/183.17 [4792]~P67(x47921)+P11(x47921,x47921,f80(x47921)) % 183.16/183.17 [4594]~E(x45941,f2(a875))+E(f333(f103(a1),x45941),f2(a1)) % 183.16/183.17 [4601]~P90(x46011)+E(f333(f106(x46011),a82),f2(x46011)) % 183.16/183.17 [4604]~E(f598(x46041),f2(a875))+E(f333(f167(a875),x46041),f2(a875)) % 183.16/183.17 [4605]~P107(x46051)+E(f249(x46051,f247(x46051)),f245(x46051)) % 183.16/183.17 [4606]~P107(x46061)+E(f250(x46061,f247(x46061)),f246(x46061)) % 183.16/183.17 [4607]~P87(x46071)+E(f81(x46071,f2(x46071)),f2(x46071)) % 183.16/183.17 [4616]~P141(x46161)+E(f333(f103(x46161),f77(a875)),f77(x46161)) % 183.16/183.17 [4617]~P141(x46171)+E(f333(f103(x46171),f2(a875)),f2(x46171)) % 183.16/183.17 [4618]~P138(x46181)+E(f333(f105(x46181),f77(a1)),f77(x46181)) % 183.16/183.17 [4619]~P138(x46191)+E(f333(f105(x46191),f2(a1)),f2(x46191)) % 183.16/183.17 [4620]E(x46201,f2(a875))+~E(f333(f103(a1),x46201),f2(a1)) % 183.16/183.17 [4645]~P114(x46451)+E(f333(f74(x46451),f77(x46451)),f77(x46451)) % 183.16/183.17 [4646]~P83(x46461)+E(f333(f74(x46461),f2(x46461)),f2(x46461)) % 183.16/183.17 [4647]~P93(x46471)+E(f333(f78(x46471),f196(x46471)),f256(x46471)) % 183.16/183.17 [4648]~P93(x46481)+E(f333(f78(x46481),f256(x46481)),f196(x46481)) % 183.16/183.17 [4649]~P72(x46491)+E(f333(f78(x46491),f2(x46491)),f2(x46491)) % 183.16/183.17 [4650]~P78(x46501)+E(f333(f167(x46501),f116(x46501)),f2(x46501)) % 183.16/183.17 [4671]~P36(x46711)+P38(f333(f174(a1),x46711)) % 183.16/183.17 [4703]~P90(x47031)+E(f333(f78(x47031),f77(x47031)),f333(f106(x47031),a100)) % 183.16/183.17 [4720]~P90(x47201)+P30(x47201,f333(f106(x47201),a82)) % 183.16/183.17 [4737]~P57(x47371)+E(f333(f174(x47371),f55(x47371)),f256(f882(x47371,a870))) % 183.16/183.17 [4747]P36(x47471)+~P38(f333(f174(a1),x47471)) % 183.16/183.17 [4748]~P57(x47481)+P23(f333(f138(x47481),f55(x47481))) % 183.16/183.17 [4793]E(f333(f103(a1),f333(a107,x47931)),x47931)+P23(f333(a201,x47931)) % 183.16/183.17 [4810]~P107(x48101)+E(f92(x48101,x48101,f5(x48101)),f93(x48101)) % 183.16/183.17 [4862]~P111(x48621)+E(f259(x48621,f77(x48621),f80(x48621)),f258(x48621)) % 183.16/183.17 [4892]~P90(x48921)+~P30(x48921,f333(f106(x48921),a100)) % 183.16/183.17 [5034]E(f333(f74(a1),x50341),x50341)+P23(f333(f333(f248(a1),x50341),f2(a1))) % 183.16/183.17 [5052]~E(f333(a107,x50521),f2(a875))+P23(f333(f333(f247(a1),x50521),f2(a1))) % 183.16/183.17 [5114]~P23(f333(a201,x51141))+P23(f333(f333(f248(a1),x51141),f2(a1))) % 183.16/183.17 [5154]~P138(x51541)+P23(f333(f333(f335(x51541),f77(x51541)),f112(x51541))) % 183.16/183.17 [5155]~P141(x51551)+P23(f333(f333(f335(x51551),f77(x51551)),f194(x51551))) % 183.16/183.17 [5156]~P138(x51561)+P23(f333(f333(f335(x51561),f2(x51561)),f112(x51561))) % 183.16/183.17 [5157]~P141(x51571)+P23(f333(f333(f335(x51571),f2(x51571)),f194(x51571))) % 183.16/183.17 [5158]~P120(x51581)+P23(f333(f333(f248(x51581),f2(x51581)),f77(x51581))) % 183.16/183.17 [5159]~P120(x51591)+P23(f333(f333(f247(x51591),f2(x51591)),f77(x51591))) % 183.16/183.17 [5211]E(x52111,f2(a875))+~P23(f333(f333(f247(a875),x52111),f2(a875))) % 183.16/183.17 [5254]E(f333(a107,x52541),f2(a875))+~P23(f333(f333(f247(a1),x52541),f2(a1))) % 183.16/183.17 [5317]P23(f333(a201,x53171))+~P23(f333(f333(f248(a1),x53171),f2(a1))) % 183.16/183.17 [5322]~P106(x53221)+P11(x53221,f876(x53221),f149(x53221,x53221,f5(x53221))) % 183.16/183.17 [5339]P38(x53391)+~P23(f333(f333(f247(a1),f2(a1)),f341(x53391))) % 183.16/183.17 [5345]E(f333(f74(a1),x53451),f333(f78(a1),x53451))+~P23(f333(f333(f248(a1),x53451),f2(a1))) % 183.16/183.17 [5517]~P120(x55171)+~P23(f333(f333(f248(x55171),f77(x55171)),f2(x55171))) % 183.16/183.17 [5518]~P120(x55181)+~P23(f333(f333(f247(x55181),f77(x55181)),f2(x55181))) % 183.16/183.17 [5528]~E(x55281,f2(a1))+P23(f333(f333(f248(a1),f333(f74(a1),x55281)),f77(a1))) % 183.16/183.17 [5529]~E(x55291,f2(a875))+P23(f333(f333(f247(a1),f333(f103(a1),x55291)),f2(a1))) % 183.16/183.17 [5650]~P78(x56501)+E(f143(x56501,x56501,f79(x56501),f2(x56501)),f167(x56501)) % 183.16/183.17 [5820]~P100(x58201)+P20(a875,x58201,f103(x58201),f256(f882(a875,a870))) % 183.16/183.17 [6015]E(x60151,f2(a875))+~P23(f333(f333(f247(a1),f333(f103(a1),x60151)),f2(a1))) % 183.16/183.17 [6016]E(x60161,f2(a1))+~P23(f333(f333(f248(a1),f333(f74(a1),x60161)),f77(a1))) % 183.16/183.17 [6807]~P23(f333(f333(f248(a1),x68071),f2(a1)))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x68071),x68071)),f2(a1))) % 183.16/183.17 [7356]P23(f333(f333(f248(a1),x73561),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x73561),x73561)),f2(a1))) % 183.16/183.17 [7918]E(x79181,f333(a3,f2(a875)))+P23(f333(f333(f248(a875),f333(f333(f22(a875),f333(a19,x79181)),f333(a115,f2(a875)))),f333(a19,x79181))) % 183.16/183.17 [8688]~P23(f333(f333(f248(a1),x86881),f2(a1)))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86881),x86881)),a100)),f2(a1))) % 183.16/183.17 [8774]~P23(f333(f333(f248(a1),x87741),f2(a1)))+P23(f333(f333(f248(a1),f333(f333(f79(a1),f333(f333(f79(a1),f77(a1)),x87741)),x87741)),f2(a1))) % 183.16/183.17 [9100]P23(f333(f333(f248(a1),x91001),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x91001),x91001)),a100)),f2(a1))) % 183.16/183.17 [9163]P23(f333(f333(f248(a1),x91631),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),f333(f333(f79(a1),f77(a1)),x91631)),x91631)),f2(a1))) % 183.16/183.17 [4691]~E(a82,x46911)+E(f333(f333(f79(a1),x46911),x46911),a82) % 183.16/183.17 [4692]~E(x46921,a82)+E(f333(f333(f79(a1),x46921),x46921),a82) % 183.16/183.17 [4706]E(x47061,f2(a1))+E(f333(f333(f38(a1),x47061),x47061),f77(a1)) % 183.16/183.17 [4839]E(x48391,a82)+~E(f333(f333(f79(a1),x48391),x48391),a82) % 183.16/183.17 [4840]E(a82,x48401)+~E(f333(f333(f79(a1),x48401),x48401),a82) % 183.16/183.17 [4852]~P26(x48521)+E(f40(x48521,f196(f882(x48521,a870))),f256(x48521)) % 183.16/183.17 [4853]~P26(x48531)+E(f40(x48531,f256(f882(x48531,a870))),f196(x48531)) % 183.16/183.17 [4854]~P26(x48541)+E(f39(x48541,f196(f882(x48541,a870))),f196(x48541)) % 183.16/183.17 [4855]~P26(x48551)+E(f39(x48551,f256(f882(x48551,a870))),f256(x48551)) % 183.16/183.17 [4856]~P106(x48561)+E(f140(x48561,f196(f882(x48561,a870))),f116(x48561)) % 183.16/183.17 [4992]E(x49921,f2(a875))+P23(f333(f333(f248(a875),f2(a875)),x49921)) % 183.16/183.17 [5011]~P27(x50111)+P23(f333(f333(f247(a1),f2(a1)),x50111)) % 183.16/183.17 [5043]~E(f333(f106(a875),x50431),f2(a875))+P23(f333(f333(f247(a1),x50431),a82)) % 183.16/183.17 [5048]P38(x50481)+P23(f333(f333(f335(a1),f341(x50481)),x50481)) % 183.16/183.17 [5049]E(x50491,f333(a3,f2(a875)))+P23(f333(f333(f247(a102),f77(a102)),x50491)) % 183.16/183.17 [5088]P23(f333(a201,x50881))+P23(f333(f333(f247(a1),f2(a1)),x50881)) % 183.16/183.17 [5136]E(f333(f103(a1),f333(a107,x51361)),f2(a1))+P23(f333(f333(f247(a1),f2(a1)),x51361)) % 183.16/183.17 [5196]E(f333(f103(a1),f333(f106(a875),x51961)),f333(f106(a1),x51961))+P23(f333(a201,f333(f106(a1),x51961))) % 183.16/183.17 [5217]E(f333(f106(a875),x52171),f2(a875))+~P23(f333(a201,f333(f106(a1),x52171))) % 183.16/183.17 [5218]E(f333(f106(a875),x52181),f2(a875))+~P23(f333(f333(f247(a1),x52181),a82)) % 183.16/183.17 [5251]P27(x52511)+~P23(f333(f333(f247(a1),f2(a1)),x52511)) % 183.16/183.17 [5325]E(f333(a115,f343(x53251)),x53251)+~P23(f333(f333(f248(a875),f2(a875)),x53251)) % 183.16/183.17 [5333]E(f333(a115,f333(f106(a875),x53331)),f77(a875))+~P23(f333(a201,f333(f106(a1),x53331))) % 183.16/183.17 [5341]E(f333(f103(a1),f407(x53411)),x53411)+~P23(f333(f333(f248(a1),f2(a1)),x53411)) % 183.16/183.17 [5348]~E(x53481,f333(a3,f2(a875)))+~P23(f333(f333(f247(a102),f77(a102)),x53481)) % 183.16/183.17 [5355]E(f333(f103(a1),f333(f106(a875),x53551)),f2(a1))+~P23(f333(a201,f333(f106(a1),x53551))) % 183.16/183.17 [5381]E(f333(f167(a875),x53811),f2(a875))+P23(f333(f333(f335(a875),f598(x53811)),f333(f174(a875),x53811))) % 183.16/183.17 [5402]E(f333(f103(a1),f333(a107,x54021)),x54021)+~P23(f333(f333(f247(a1),f2(a1)),x54021)) % 183.16/183.17 [5411]~P23(f333(a201,x54111))+~P23(f333(f333(f247(a1),f2(a1)),x54111)) % 183.16/183.17 [5510]E(f333(f333(f79(a875),f77(a875)),f333(f106(a875),x55101)),f77(a875))+~P23(f333(f333(f248(a1),x55101),a82)) % 183.16/183.17 [5570]E(x55701,f2(a875))+~P23(f333(f333(f248(a875),x55701),f333(a115,f2(a875)))) % 183.16/183.17 [5609]E(f333(f333(f22(a875),f333(f106(a875),x56091)),f77(a875)),f2(a875))+~P23(f333(f333(f247(a1),x56091),a82)) % 183.16/183.17 [5610]E(f333(f333(f79(a875),f333(f106(a875),x56101)),f77(a875)),f77(a875))+~P23(f333(f333(f248(a1),x56101),a82)) % 183.16/183.17 [5620]~P38(x56201)+E(f333(f37(a875),f333(f312(a1,a875,a107),x56201)),f333(f37(a1),x56201)) % 183.16/183.17 [5651]~P106(x56511)+E(f249(x56511,f333(f7(x56511,x56511,a870),f247(x56511))),f246(x56511)) % 183.16/183.17 [5652]~P106(x56521)+E(f250(x56521,f333(f7(x56521,x56521,a870),f247(x56521))),f245(x56521)) % 183.16/183.17 [5662]E(f44(a875,f333(a115,f2(a875)),f333(f106(a875),x56621)),f333(a115,f2(a875)))+~P23(f333(a201,f333(f106(a1),x56621))) % 183.16/183.17 [5671]P23(f333(f333(f248(a1),f2(a1)),x56711))+~P23(f333(f333(f247(a1),f77(a1)),x56711)) % 183.16/183.17 [5672]~P23(f333(f333(f248(a1),f2(a1)),x56721))+P23(f333(f333(f247(a1),f77(a1)),x56721)) % 183.16/183.17 [5683]E(f333(a115,f333(f333(f22(a875),x56831),f77(a875))),x56831)+~P23(f333(f333(f248(a875),f2(a875)),x56831)) % 183.16/183.17 [5739]P23(f333(f333(f248(a875),f2(a875)),f407(x57391)))+~P23(f333(f333(f248(a1),f2(a1)),x57391)) % 183.16/183.17 [5798]E(f44(a1,f333(f106(a1),a100),x57981),f333(f333(f22(a1),x57981),f77(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x57981)) % 183.16/183.17 [5832]~P23(f333(f333(f248(a1),a82),x58321))+P23(f333(f333(f248(a875),f2(a875)),f333(f106(a875),x58321))) % 183.16/183.17 [5882]P23(f333(f333(f248(a875),f2(a875)),f333(a107,x58821)))+~P23(f333(f333(f248(a1),f2(a1)),x58821)) % 183.16/183.17 [5932]~P23(f333(f333(f248(a875),f2(a875)),x59321))+P23(f333(f333(f248(a1),f2(a1)),f333(f103(a1),x59321))) % 183.16/183.17 [5970]~P23(f333(f333(f248(a875),f2(a875)),f333(a107,x59701)))+P23(f333(f333(f248(a1),f2(a1)),x59701)) % 183.16/183.17 [5985]~P38(x59851)+E(f333(f312(a875,a1,f103(a1)),f333(f312(a1,a875,a107),x59851)),x59851) % 183.16/183.17 [5996]P23(f333(f333(f248(a1),a82),x59961))+~P23(f333(f333(f248(a875),f2(a875)),f333(f106(a875),x59961))) % 183.16/183.17 [6044]~P57(x60441)+E(f333(f333(f152(f879(x60441)),f209(x60441)),f333(f333(f155(x60441,f879(x60441)),f240(x60441)),f55(x60441))),f55(f879(x60441))) % 183.16/183.17 [6055]P23(f333(f333(f248(a875),f2(a875)),x60551))+~P23(f333(f333(f248(a1),f2(a1)),f333(f103(a1),x60551))) % 183.16/183.17 [6164]E(f333(f312(a875,a1,f103(a1)),f333(f254(a875),f333(a107,x61641))),f333(f303(a1,f2(a1)),x61641))+~P23(f333(f333(f247(a1),f2(a1)),x61641)) % 183.16/183.17 [6180]~P120(x61801)+P23(f333(f333(f248(x61801),f2(x61801)),f333(f333(f79(x61801),f77(x61801)),f77(x61801)))) % 183.16/183.17 [6231]P23(f333(f333(f248(a875),f333(a115,f2(a875))),f333(a107,x62311)))+~P23(f333(f333(f248(a1),f77(a1)),x62311)) % 183.16/183.17 [6326]E(x63261,f2(a1))+P23(f333(f48(f2(a1),x63261),f333(f333(f268(a1,a1),f2(a1)),f2(a1)))) % 183.16/183.17 [6490]~P23(f333(f333(f248(a875),f333(a115,f2(a875))),f333(a107,x64901)))+P23(f333(f333(f248(a1),f77(a1)),x64901)) % 183.16/183.17 [6919]~P112(x69191)+P37(x69191,f333(f253(f881(x69191,x69191)),f333(f272(x69191,x69191,a870),f248(x69191)))) % 183.16/183.17 [5557]E(f333(f106(a875),f333(f333(f22(a1),x55571),a100)),f333(a115,f333(f106(a875),x55571)))+P23(f333(a201,f333(f106(a1),x55571))) % 183.16/183.17 [5573]~P36(x55731)+E(f333(f333(f155(a875,a1),f103(a1)),f333(f333(f155(a1,a875),a107),x55731)),x55731) % 183.16/183.17 [5689]E(f333(f78(a1),f333(f103(a1),f333(a115,f486(x56891)))),x56891)+~P23(f333(f333(f248(a1),x56891),f2(a1))) % 183.16/183.17 [5699]E(f333(f333(f79(a875),f77(a875)),f333(f106(a875),x56991)),f333(f106(a875),f333(f333(f22(a1),x56991),a100)))+P23(f333(f333(f248(a1),x56991),a82)) % 183.16/183.17 [5741]E(f333(f333(f38(a1),f333(f106(a1),a100)),x57411),f333(f106(a1),a100))+~P23(f333(f333(f248(a1),f2(a1)),x57411)) % 183.16/183.17 [5828]E(f333(f333(f22(a875),f333(f106(a875),x58281)),f77(a875)),f333(f106(a875),f333(f333(f79(a1),x58281),a100)))+P23(f333(f333(f247(a1),x58281),a82)) % 183.16/183.17 [5829]E(f333(f333(f79(a875),f333(f106(a875),x58291)),f77(a875)),f333(f106(a875),f333(f333(f22(a1),x58291),a100)))+P23(f333(f333(f248(a1),x58291),a82)) % 183.16/183.17 [5870]E(f333(a107,f333(f333(f79(a1),f77(a1)),x58701)),f333(a115,f333(a107,x58701)))+~P23(f333(f333(f247(a1),f2(a1)),x58701)) % 183.16/183.17 [5904]E(f333(a115,f333(f333(f22(a875),x59041),f333(a115,f2(a875)))),x59041)+~P23(f333(f333(f248(a875),f2(a875)),x59041)) % 183.16/183.17 [6115]E(f44(a875,f333(a115,f2(a875)),f333(f106(a875),x61151)),f333(a107,f44(a1,f77(a1),f333(f106(a1),x61151))))+P23(f333(a201,f333(f106(a1),x61151))) % 183.16/183.17 [6154]~P23(f333(f333(f248(a1),a82),x61541))+P23(f333(f333(f248(a1),a82),f333(f333(f79(a1),x61541),x61541))) % 183.16/183.17 [6155]~P23(f333(f333(f248(a1),a100),x61551))+P23(f333(f333(f248(a1),a100),f333(f333(f79(a1),x61551),x61551))) % 183.16/183.17 [6156]~P23(f333(f333(f247(a1),a82),x61561))+P23(f333(f333(f247(a1),a82),f333(f333(f79(a1),x61561),x61561))) % 183.16/183.17 [6157]~P23(f333(f333(f248(a1),a100),x61571))+P23(f333(f333(f247(a1),a100),f333(f333(f79(a1),x61571),x61571))) % 183.16/183.17 [6158]~P23(f333(f333(f90(a1),a82),x61581))+P23(f333(f333(f90(a1),a82),f333(f333(f79(a1),x61581),x61581))) % 183.16/183.17 [6339]~P23(f333(f61(x63391),f256(f882(x63391,a870))))+P23(f333(f61(f879(x63391)),f256(f882(f879(x63391),a870)))) % 183.16/183.17 [6424]~P23(f333(f333(f247(a1),f2(a1)),x64241))+P23(f333(f333(f248(a1),f2(a1)),f333(f333(f79(a1),f77(a1)),x64241))) % 183.16/183.17 [6431]E(f333(f267(a1,a1),f46(f77(a1),f333(f106(a1),x64311))),f333(f333(f38(a1),f77(a1)),f333(f106(a1),x64311)))+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x64311))) % 183.16/183.17 [6451]E(f333(f271(a1,a1),f46(f77(a1),f333(f106(a1),x64511))),f44(a1,f77(a1),f333(f106(a1),x64511)))+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x64511))) % 183.16/183.17 [6462]P23(f333(f61(x64621),f256(f882(x64621,a870))))+~P23(f333(f61(f879(x64621)),f256(f882(f879(x64621),a870)))) % 183.16/183.17 [6491]P23(f333(f333(f248(a1),a82),x64911))+~P23(f333(f333(f248(a1),a82),f333(f333(f79(a1),x64911),x64911))) % 183.16/183.17 [6492]P23(f333(f333(f248(a1),a100),x64921))+~P23(f333(f333(f248(a1),a100),f333(f333(f79(a1),x64921),x64921))) % 183.16/183.17 [6493]P23(f333(f333(f248(a1),a100),x64931))+~P23(f333(f333(f247(a1),a100),f333(f333(f79(a1),x64931),x64931))) % 183.16/183.17 [6494]P23(f333(f333(f247(a1),a82),x64941))+~P23(f333(f333(f247(a1),a82),f333(f333(f79(a1),x64941),x64941))) % 183.16/183.17 [6495]P23(f333(f333(f90(a1),a82),x64951))+~P23(f333(f333(f90(a1),a82),f333(f333(f79(a1),x64951),x64951))) % 183.16/183.17 [6811]~P23(f333(f61(x68111),f256(f882(x68111,a870))))+P23(f333(f333(f248(a875),f2(a875)),f333(f37(x68111),f256(f882(x68111,a870))))) % 183.16/183.17 [7398]P23(f333(f61(a875),x73981))+~P23(f333(f61(a1),f333(f312(a875,a1,f103(a1)),x73981))) % 183.16/183.17 [8807]P19(a872,a883,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),a330),f333(a25,x88071)),f202(f333(a25,x88071)))),f196(f882(f874(a872),a870))))+~P23(f333(f333(f335(a873),x88071),f186(a873,a871,a27))) % 183.16/183.17 [5485]~E(a100,x54851)+E(f333(f333(f22(a1),f333(f333(f79(a1),x54851),x54851)),a100),a100) % 183.16/183.17 [5486]~E(x54861,a100)+E(f333(f333(f22(a1),f333(f333(f79(a1),x54861),x54861)),a100),a100) % 183.16/183.17 [5991]E(x59911,a100)+~E(f333(f333(f22(a1),f333(f333(f79(a1),x59911),x59911)),a100),a100) % 183.16/183.17 [5992]E(a100,x59921)+~E(f333(f333(f22(a1),f333(f333(f79(a1),x59921),x59921)),a100),a100) % 183.16/183.17 [6393]~E(f333(f106(a875),x63931),f2(a875))+P23(f333(a201,f333(f106(a1),f333(f333(f79(a1),x63931),a100)))) % 183.16/183.17 [6737]~P23(f333(a201,f333(f106(a1),x67371)))+P23(f333(a201,f333(f106(a1),f333(f333(f79(a1),x67371),x67371)))) % 183.16/183.17 [6738]~P23(f333(f333(f248(a1),x67381),a82))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x67381),x67381)),a82)) % 183.16/183.17 [6739]~P23(f333(f333(f247(a1),x67391),a100))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x67391),x67391)),a100)) % 183.16/183.17 [6740]~P23(f333(f333(f247(a1),x67401),a82))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x67401),x67401)),a82)) % 183.16/183.17 [6741]~P23(f333(f333(f247(a1),x67411),a100))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x67411),x67411)),a100)) % 183.16/183.17 [6742]~P23(f333(f333(f90(a1),x67421),a82))+P23(f333(f333(f90(a1),f333(f333(f79(a1),x67421),x67421)),a82)) % 183.16/183.17 [7066]E(f333(f106(a875),x70661),f2(a875))+~P23(f333(a201,f333(f106(a1),f333(f333(f79(a1),x70661),a100)))) % 183.16/183.17 [7305]~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x73051)))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),f333(f333(f79(a1),x73051),x73051)))) % 183.16/183.17 [7306]P23(f333(a201,f333(f106(a1),x73061)))+~P23(f333(a201,f333(f106(a1),f333(f333(f79(a1),x73061),x73061)))) % 183.16/183.17 [7307]P23(f333(f333(f248(a1),x73071),a82))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x73071),x73071)),a82)) % 183.16/183.17 [7308]P23(f333(f333(f247(a1),x73081),a82))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x73081),x73081)),a82)) % 183.16/183.17 [7309]P23(f333(f333(f247(a1),x73091),a100))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x73091),x73091)),a100)) % 183.16/183.17 [7310]P23(f333(f333(f247(a1),x73101),a100))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x73101),x73101)),a100)) % 183.16/183.17 [7311]P23(f333(f333(f90(a1),x73111),a82))+~P23(f333(f333(f90(a1),f333(f333(f79(a1),x73111),x73111)),a82)) % 183.16/183.17 [7682]E(f333(a109,f589(x76821)),x76821)+~P23(f333(f333(f335(f882(f881(a875,a875),a870)),x76821),a101)) % 183.16/183.17 [6312]~P90(x63121)+E(f333(f106(x63121),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f77(x63121)) % 183.16/183.17 [6789]~P23(f333(a201,f333(f106(a1),x67891)))+E(f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x67891),x67891)),a100)),f2(a875)) % 183.16/183.17 [7863]~P23(f333(f333(f248(a1),f333(f106(a1),x78631)),f2(a1)))+E(f333(f267(a1,a1),f333(a50,f49(f333(f78(a1),f77(a1)),f333(f78(a1),f333(f106(a1),x78631))))),f333(f333(f38(a1),f77(a1)),f333(f106(a1),x78631))) % 183.16/183.17 [7876]~P23(f333(f333(f248(a1),f333(f106(a1),x78761)),f2(a1)))+E(f333(f271(a1,a1),f333(a50,f49(f333(f78(a1),f77(a1)),f333(f78(a1),f333(f106(a1),x78761))))),f44(a1,f77(a1),f333(f106(a1),x78761))) % 183.16/183.17 [7924]~P23(f333(f333(f247(a1),a82),x79241))+P23(f333(f333(f248(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x79241),x79241)),a100))) % 183.16/183.17 [7925]~P23(f333(f333(f248(a1),a100),x79251))+P23(f333(f333(f248(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x79251),x79251)),a100))) % 183.16/183.17 [7926]~P23(f333(f333(f247(a1),a82),x79261))+P23(f333(f333(f247(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x79261),x79261)),a100))) % 183.16/183.17 [7927]~P23(f333(f333(f247(a1),a100),x79271))+P23(f333(f333(f247(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x79271),x79271)),a100))) % 183.16/183.17 [7928]~P23(f333(f333(f90(a1),a100),x79281))+P23(f333(f333(f90(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x79281),x79281)),a100))) % 183.16/183.17 [8238]~P90(x82381)+~P30(x82381,f333(f106(x82381),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))) % 183.16/183.17 [8419]P23(f333(f333(f248(a1),a100),x84191))+~P23(f333(f333(f248(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x84191),x84191)),a100))) % 183.16/183.17 [8420]P23(f333(f333(f247(a1),a82),x84201))+~P23(f333(f333(f248(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x84201),x84201)),a100))) % 183.16/183.17 [8421]P23(f333(f333(f247(a1),a82),x84211))+~P23(f333(f333(f247(a1),a82),f333(f333(f22(a1),f333(f333(f79(a1),x84211),x84211)),a100))) % 183.16/183.17 [8422]P23(f333(f333(f247(a1),a100),x84221))+~P23(f333(f333(f247(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x84221),x84221)),a100))) % 183.16/183.17 [8423]P23(f333(f333(f90(a1),a100),x84231))+~P23(f333(f333(f90(a1),a100),f333(f333(f22(a1),f333(f333(f79(a1),x84231),x84231)),a100))) % 183.16/183.17 [8732]E(f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x87321),x87321)),a100)),f333(f333(f85(a875,a875),f333(f106(a875),x87321)),f333(f333(f8(a875,a875,a875),a115),f333(f333(f18(a875,a875,a875),f79(a875)),f5(a875)))))+P23(f333(a201,f333(f106(a1),x87321))) % 183.16/183.17 [9578]E(x95781,f196(f882(f881(a875,a875),a870)))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x95781),f196(f882(f881(a875,a875),a870)))),a35)) % 183.16/183.17 [8663]~P23(f333(a201,f333(f106(a1),x86631)))+P23(f333(a201,f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86631),x86631)),a100)))) % 183.16/183.17 [8664]~P23(f333(f333(f248(a1),x86641),a82))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86641),x86641)),a100)),a82)) % 183.16/183.17 [8665]~P23(f333(f333(f248(a1),x86651),a100))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86651),x86651)),a100)),a100)) % 183.16/183.17 [8666]~P23(f333(f333(f248(a1),x86661),a82))+P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86661),x86661)),a100)),a82)) % 183.16/183.17 [8667]~P23(f333(f333(f247(a1),x86671),a100))+P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86671),x86671)),a100)),a100)) % 183.16/183.17 [8668]~P23(f333(f333(f90(a1),x86681),a100))+P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x86681),x86681)),a100)),a100)) % 183.16/183.17 [8767]~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x87671)))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x87671),x87671)),a100)))) % 183.16/183.17 [8929]~P90(x89291)+E(f333(f333(f79(x89291),f77(x89291)),f77(x89291)),f333(f106(x89291),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))) % 183.16/183.17 [9084]P23(f333(a201,f333(f106(a1),x90841)))+~P23(f333(a201,f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90841),x90841)),a100)))) % 183.16/183.17 [9085]P23(f333(f333(f248(a1),x90851),a82))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90851),x90851)),a100)),a82)) % 183.16/183.17 [9086]P23(f333(f333(f248(a1),x90861),a82))+~P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90861),x90861)),a100)),a82)) % 183.16/183.17 [9087]P23(f333(f333(f248(a1),x90871),a100))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90871),x90871)),a100)),a100)) % 183.16/183.17 [9088]P23(f333(f333(f247(a1),x90881),a100))+~P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90881),x90881)),a100)),a100)) % 183.16/183.17 [9089]P23(f333(f333(f90(a1),x90891),a100))+~P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90891),x90891)),a100)),a100)) % 183.16/183.17 [9624]~P23(f333(f61(f881(a875,a875)),x96241))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f196(f882(f881(a875,a875),a870))),x96241)),a68)) % 183.16/183.17 [9411]~P141(x94111)+E(f333(f333(f258(x94111),f77(x94111)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(x94111)) % 183.16/183.17 [9412]~P141(x94121)+E(f333(f333(f258(x94121),f2(x94121)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f2(x94121)) % 183.16/183.17 [9851]~P23(f333(f333(f248(a875),f77(a875)),x98511))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f38(a875),x98511),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.17 [9863]~P23(f333(f333(f248(a875),f2(a875)),x98631))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f38(a875),f333(f333(f79(a875),x98631),f77(a875))),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.17 [9905]~E(f44(a875,x99051,f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(a875))+P23(f333(f333(f248(a875),f2(a875)),f44(a875,x99051,f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.17 [9924]E(f44(a875,x99241,f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(a875))+~P23(f333(f333(f248(a875),f2(a875)),f44(a875,x99241,f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.17 [4624]~P37(x46241,x46242)+P52(x46241,x46242) % 183.16/183.17 [4625]~P43(x46251,x46252)+P52(x46251,x46252) % 183.16/183.17 [4586]~E(x45861,x45862)+E(f280(x45861,x45862),f77(a102)) % 183.16/183.17 [4589]E(f228(x45891,x45892),x45891)+~E(x45892,f2(a875)) % 183.16/183.17 [4596]~E(x45962,f116(x45961))+E(f153(x45961,x45962),f116(x45961)) % 183.16/183.17 [4615]~E(f153(x46152,x46151),f116(x46152))+E(x46151,f116(x46152)) % 183.16/183.17 [4629]~P24(x46292)+P24(f882(x46291,x46292)) % 183.16/183.17 [4630]~P62(x46302)+P62(f882(x46301,x46302)) % 183.16/183.17 [4631]~P95(x46312)+P63(f882(x46311,x46312)) % 183.16/183.17 [4632]~P62(x46322)+P98(f882(x46321,x46322)) % 183.16/183.17 [4633]~P62(x46332)+P99(f882(x46331,x46332)) % 183.16/183.17 [4634]~P64(x46342)+P64(f882(x46341,x46342)) % 183.16/183.17 [4635]~P96(x46352)+P96(f882(x46351,x46352)) % 183.16/183.17 [4636]~P26(x46362)+P26(f882(x46361,x46362)) % 183.16/183.17 [4637]~P104(x46372)+P104(f882(x46371,x46372)) % 183.16/183.17 [4638]~P95(x46382)+P97(f882(x46381,x46382)) % 183.16/183.17 [4639]~P105(x46392)+P105(f882(x46391,x46392)) % 183.16/183.17 [4640]~P107(x46402)+P107(f882(x46401,x46402)) % 183.16/183.17 [4641]~P108(x46412)+P108(f882(x46411,x46412)) % 183.16/183.17 [4642]~P86(x46422)+P86(f882(x46421,x46422)) % 183.16/183.17 [4643]~P93(x46432)+P93(f882(x46431,x46432)) % 183.16/183.17 [4644]~P95(x46442)+P95(f882(x46441,x46442)) % 183.16/183.17 [4656]E(x46561,x46562)+~E(f333(a25,x46561),f333(a25,x46562)) % 183.16/183.17 [4658]E(x46581,x46582)+~E(f333(a115,x46581),f333(a115,x46582)) % 183.16/183.17 [4659]E(x46591,x46592)+~E(f333(a109,x46591),f333(a109,x46592)) % 183.16/183.17 [4660]E(x46601,x46602)+~E(f333(a3,x46601),f333(a3,x46602)) % 183.16/183.17 [4662]E(x46621,x46622)+~E(f333(a19,x46621),f333(a19,x46622)) % 183.16/183.17 [4766]~P55(x47661)+E(f44(x47661,x47662,x47662),f2(x47661)) % 183.16/183.17 [4800]~P37(x48001,x48002)+P37(f876(x48001),f147(x48001,x48002)) % 183.16/183.17 [4801]~P37(x48011,x48012)+P37(f876(x48011),f146(x48011,x48012)) % 183.16/183.17 [4897]~P37(x48971,x48972)+P37(f882(x48971,a870),f324(x48971,x48972)) % 183.16/183.17 [4898]~P37(x48981,x48982)+P37(f882(x48981,a870),f325(x48981,x48982)) % 183.16/183.17 [5017]~P27(x50171)+P38(f304(a1,x50171,x50172)) % 183.16/183.17 [5117]~P37(x51171,x51172)+P54(x51171,f67(x51171,x51171,x51172)) % 183.16/183.17 [5614]~P82(x56141)+P20(x56141,x56141,f78(x56141),x56142) % 183.16/183.17 [4610]~E(x46102,f116(x46101))+E(f333(f169(x46101),x46102),f116(x46101)) % 183.16/183.17 [4611]~E(x46112,f116(x46111))+E(f333(f170(x46111),x46112),f116(x46111)) % 183.16/183.17 [4666]E(x46661,f333(a107,x46662))+~E(f333(f103(a1),x46661),x46662) % 183.16/183.17 [4669]E(x46691,f116(x46692))+~E(f333(f169(x46692),x46691),f116(x46692)) % 183.16/183.17 [4670]E(x46701,f116(x46702))+~E(f333(f170(x46702),x46701),f116(x46702)) % 183.16/183.17 [4688]~P90(x46881)+E(f333(f106(x46881),x46882),f333(f105(x46881),x46882)) % 183.16/183.17 [4695]~E(x46952,f209(x46951))+E(f239(x46951,x46952),f196(f882(x46951,a870))) % 183.16/183.17 [4697]~P25(x46971)+P23(f333(f61(x46971),x46972)) % 183.16/183.17 [4704]E(x47041,f209(x47042))+E(f333(f240(x47042),f685(x47042,x47041)),x47041) % 183.16/183.17 [4705]E(x47051,f209(x47052))+E(f333(f240(x47052),f716(x47052,x47051)),x47051) % 183.16/183.17 [4707]~E(f717(x47072,x47071),f116(x47071))+E(f182(x47071,x47072),f116(f876(x47071))) % 183.16/183.17 [4716]~E(x47162,f116(x47161))+E(f333(f174(x47161),x47162),f196(f882(x47161,a870))) % 183.16/183.17 [4717]~E(x47172,f116(x47171))+E(f196(f882(x47171,a870)),f333(f174(x47171),x47172)) % 183.16/183.17 [4719]E(x47191,x47192)+~E(f333(f103(a1),x47191),f333(f103(a1),x47192)) % 183.16/183.17 [4722]E(f226(x47221,x47222),f2(a875))+P23(f333(f61(x47221),x47222)) % 183.16/183.17 [4742]~P114(x47421)+E(f81(x47421,f81(x47421,x47422)),f81(x47421,x47422)) % 183.16/183.17 [4755]~P109(x47551)+E(f333(f333(f258(x47551),x47552),f77(a875)),x47552) % 183.16/183.17 [4756]~P77(x47561)+E(f333(f333(f258(x47561),x47562),f77(a875)),x47562) % 183.16/183.17 [4760]E(x47601,x47602)+E(f280(x47601,x47602),f333(f333(f79(a102),x47602),f77(a102))) % 183.16/183.17 [4763]E(f333(f37(x47631),x47632),f2(a875))+P23(f333(f61(x47631),x47632)) % 183.16/183.17 [4767]~E(f153(x47671,x47672),x47672)+P23(f333(f138(x47671),x47672)) % 183.16/183.17 [4770]~P63(x47701)+E(f333(f333(f113(x47701),x47702),f196(x47701)),x47702) % 183.16/183.17 [4771]~P72(x47711)+E(f333(f333(f22(x47711),x47712),f2(x47711)),x47712) % 183.16/183.17 [4772]~P97(x47721)+E(f333(f333(f104(x47721),x47722),f256(x47721)),x47722) % 183.16/183.17 [4773]~P66(x47731)+E(f333(f333(f79(x47731),x47732),f2(x47731)),x47732) % 183.16/183.17 [4774]~P109(x47741)+E(f333(f333(f79(x47741),x47742),f2(x47741)),x47742) % 183.16/183.17 [4775]~P78(x47751)+E(f333(f333(f79(x47751),x47752),f2(x47751)),x47752) % 183.16/183.17 [4776]~P109(x47761)+E(f333(f333(f80(x47761),x47762),f77(x47761)),x47762) % 183.16/183.17 [4777]~P73(x47771)+E(f333(f333(f80(x47771),x47772),f77(x47771)),x47772) % 183.16/183.17 [4778]~P77(x47781)+E(f333(f333(f80(x47781),x47782),f77(x47781)),x47782) % 183.16/183.17 [4779]~P55(x47791)+E(f333(f333(f38(x47791),x47792),f77(x47791)),x47792) % 183.16/183.17 [4780]~P117(x47801)+E(f333(f333(f291(x47801),x47802),f77(x47801)),x47802) % 183.16/183.17 [4781]~P109(x47811)+E(f333(f333(f258(x47811),x47812),f2(a875)),f77(x47811)) % 183.16/183.17 [4782]~P111(x47821)+E(f333(f333(f258(x47821),x47822),f2(a875)),f77(x47821)) % 183.16/183.17 [4783]~E(x47832,f196(f882(x47831,a870)))+E(f333(f37(x47831),x47832),f2(a875)) % 183.16/183.17 [4794]~P55(x47941)+E(f44(x47941,x47942,f2(x47941)),x47942) % 183.16/183.17 [4802]~P97(x48021)+E(f333(f333(f113(x48021),x48022),f256(x48021)),f256(x48021)) % 183.16/183.17 [4803]~P63(x48031)+E(f333(f333(f104(x48031),x48032),f196(x48031)),f196(x48031)) % 183.16/183.17 [4804]~P109(x48041)+E(f333(f333(f80(x48041),x48042),f2(x48041)),f2(x48041)) % 183.16/183.17 [4805]~P124(x48051)+E(f333(f333(f80(x48051),x48052),f2(x48051)),f2(x48051)) % 183.16/183.17 [4806]~P55(x48061)+E(f333(f333(f38(x48061),x48062),f2(x48061)),f2(x48061)) % 183.16/183.17 [4807]~P118(x48071)+E(f333(f333(f291(x48071),x48072),f2(x48071)),f2(x48071)) % 183.16/183.17 [4808]E(x48081,f209(x48082))+~E(f239(x48082,x48081),f196(f882(x48082,a870))) % 183.16/183.17 [4811]~P55(x48111)+E(f44(x48111,x48112,f77(x48111)),f2(x48111)) % 183.16/183.17 [4812]~P55(x48121)+E(f44(x48121,f2(x48121),x48122),f2(x48121)) % 183.16/183.17 [4841]E(x48411,f2(a875))+E(f54(x48412,x48411,f116(x48412)),f116(f876(x48412))) % 183.16/183.17 [4864]P37(x48641,x48642)+~E(f599(x48642,x48641),f196(f882(x48641,a870))) % 183.16/183.17 [4865]E(x48651,f116(x48652))+~E(f333(f174(x48652),x48651),f196(f882(x48652,a870))) % 183.16/183.17 [4866]E(x48661,f116(x48662))+~E(f196(f882(x48662,a870)),f333(f174(x48662),x48661)) % 183.16/183.17 [4869]~E(x48691,x48692)+P23(f333(f333(a330,x48691),x48692)) % 183.16/183.17 [4879]P23(x48791)+P23(f333(f333(a336,x48791),x48792)) % 183.16/183.17 [4880]E(x48801,f116(x48802))+E(f333(f333(f166(x48802),x48801),f2(a875)),f333(f142(x48802),x48801)) % 183.16/183.17 [4883]E(f153(x48831,x48832),x48832)+~P23(f333(f138(x48831),x48832)) % 183.16/183.17 [4888]~P23(x48882)+P23(f333(f333(a336,x48881),x48882)) % 183.16/183.17 [4889]~P23(x48892)+P23(f333(f333(a332,x48891),x48892)) % 183.16/183.17 [4890]~P23(x48901)+P23(f333(f333(a332,x48901),x48902)) % 183.16/183.17 [4900]~E(f686(x49002,x49001),f690(x49002,x49001))+P23(f333(f138(x49001),x49002)) % 183.16/183.17 [4907]E(f333(f253(x49071),x49072),f196(f882(x49071,a870)))+P23(f333(x49072,f339(x49072))) % 183.16/183.17 [4908]E(f196(f882(x49081,a870)),f333(f253(x49081),x49082))+P23(f333(x49082,f340(x49082))) % 183.16/183.17 [4974]~P114(x49741)+E(f333(f333(f80(x49741),x49742),f81(x49741,x49742)),f333(f74(x49741),x49742)) % 183.16/183.17 [4985]~E(x49851,f2(a1))+E(f45(x49851,x49852),f333(f333(f268(a1,a1),f2(a1)),f2(a1))) % 183.16/183.17 [5016]~P52(x50161,x50162)+P52(x50161,f333(f288(x50161,x50161),x50162)) % 183.16/183.17 [5039]E(x50391,x50392)+~P23(f333(f333(a330,x50391),x50392)) % 183.16/183.17 [5050]P23(x50501)+~P23(f333(f333(a331,x50502),x50501)) % 183.16/183.17 [5051]P23(x50511)+~P23(f333(f333(a331,x50511),x50512)) % 183.16/183.17 [5056]~P104(x50561)+P23(f333(f333(f247(x50561),x50562),f256(x50561))) % 183.16/183.17 [5060]E(x50601,x50602)+~E(f333(x50601,f406(x50602,x50601)),f333(x50602,f406(x50602,x50601))) % 183.16/183.17 [5090]E(x50901,f2(a875))+E(f228(x50901,f44(a875,x50902,x50901)),f228(x50902,x50901)) % 183.16/183.17 [5095]~P106(x50951)+P28(x50951,f333(f333(f152(x50951),x50952),f116(x50951))) % 183.16/183.17 [5097]E(x50971,f2(a1))+P23(f333(f48(x50972,x50971),f45(x50972,x50971))) % 183.16/183.17 [5115]~E(x51151,x51152)+P23(f333(f333(f248(a875),x51151),f333(a115,x51152))) % 183.16/183.17 [5125]~E(x51251,f2(a875))+P23(f333(f333(f248(a875),x51251),f333(a115,x51252))) % 183.16/183.17 [5135]P23(f333(x51351,x51352))+P23(f333(f333(f247(a1),f2(a1)),f401(x51351))) % 183.16/183.17 [5200]P52(x52001,x52002)+~P52(x52001,f333(f288(x52001,x52001),x52002)) % 183.16/183.17 [5204]~E(f44(a875,x52042,x52041),f2(a875))+E(f333(f333(f80(a875),x52041),f452(x52041,x52042)),x52042) % 183.16/183.17 [5205]~E(f44(a1,x52052,x52051),f2(a1))+E(f333(f333(f80(a1),x52051),f453(x52051,x52052)),x52052) % 183.16/183.17 [5230]~P23(f333(x52301,x52302))+P23(f333(f333(f247(a1),f2(a1)),f373(x52301))) % 183.16/183.17 [5242]E(f333(f333(f22(a875),f333(a107,x52421)),f333(a107,x52422)),f333(a107,x52421))+~P23(f333(a201,x52422)) % 183.16/183.17 [5272]E(f281(x52721,x52722),f77(a102))+~P23(f333(f333(f247(a102),x52721),f77(a102))) % 183.16/183.17 [5367]E(f333(f333(f166(x53671),x53672),f686(x53672,x53671)),f333(f333(f166(x53671),x53672),f690(x53672,x53671)))+P23(f333(f138(x53671),x53672)) % 183.16/183.17 [5412]~P23(f333(x54121,f89(x54122,x54121)))+P23(f333(x54121,f612(x54122,x54121))) % 183.16/183.17 [5475]P54(x54751,x54752)+~P23(f333(f321(x54751,x54752),f576(x54752,x54751))) % 183.16/183.17 [5621]~E(f333(a115,f44(a875,x56211,x56212)),x56212)+E(f44(a875,f333(a115,x56211),x56212),f2(a875)) % 183.16/183.17 [5678]P37(x56781,x56782)+P23(f333(f333(f335(x56781),f629(x56782,x56781)),f630(x56782,x56781))) % 183.16/183.17 [5685]~P138(x56851)+P23(f333(f333(f335(x56851),f333(f103(x56851),x56852)),f112(x56851))) % 183.16/183.17 [5686]~P141(x56861)+P23(f333(f333(f335(x56861),f333(f103(x56861),x56862)),f194(x56861))) % 183.16/183.17 [5687]~P138(x56871)+P23(f333(f333(f335(x56871),f333(f105(x56871),x56872)),f112(x56871))) % 183.16/183.17 [5688]~P90(x56881)+P23(f333(f333(f335(x56881),f333(f106(x56881),x56882)),f112(x56881))) % 183.16/183.17 [5831]E(f333(a115,f44(a875,x58311,x58312)),x58312)+E(f44(a875,f333(a115,x58311),x58312),f333(a115,f44(a875,x58311,x58312))) % 183.16/183.17 [6243]P37(x62431,x62432)+~P23(f333(f333(f335(x62431),f559(x62432,x62431)),f322(x62431,x62432))) % 183.16/183.17 [6278]~P120(x62781)+~P23(f333(f333(f248(x62781),f333(f103(x62781),x62782)),f2(x62781))) % 183.16/183.17 [6279]~P83(x62791)+~P23(f333(f333(f248(x62791),f333(f74(x62791),x62792)),f2(x62791))) % 183.16/183.17 [6366]P23(f333(f333(f248(a1),x63661),f44(a1,x63662,x63661)))+~P23(f333(f333(f248(a1),x63661),f2(a1))) % 183.16/183.17 [6464]E(f333(f333(f311(a875),f333(a115,x64641)),f304(a875,x64642,x64641)),f304(a875,x64642,f333(a115,x64641)))+~P23(f333(f333(f247(a875),x64642),f333(a115,x64641))) % 183.16/183.17 [6551]~P106(x65511)+P28(x65511,f151(x65511,x65511,f5(x65511),x65512)) % 183.16/183.17 [6681]E(f333(f169(x66811),x66812),x66812)+~P23(f333(f333(f247(a875),f333(f197(f876(x66811)),x66812)),f77(a875))) % 183.16/183.17 [6701]~P83(x67011)+P23(f333(f333(f247(x67011),f333(f78(x67011),f333(f74(x67011),x67012))),f2(x67011))) % 183.16/183.17 [6734]~P37(x67341,x67342)+P37(x67341,f333(f333(f290(x67341,x67341,x67341),x67342),f309(x67341,x67342))) % 183.16/183.17 [6957]~P23(f333(f333(f248(a1),x69572),f2(a1)))+P23(f333(f333(f247(a1),f44(a1,x69571,x69572)),f2(a1))) % 183.16/183.17 [7353]~P141(x73531)+E(f198(x73531,f333(f333(f7(x73531,x73531,x73531),f79(x73531)),f77(x73531)),x73532,f2(x73531)),f333(f103(x73531),x73532)) % 183.16/183.17 [7381]~P121(x73811)+~P23(f333(f333(f248(x73811),f333(f333(f80(x73811),x73812),x73812)),f2(x73811))) % 183.16/183.17 [10014]~P114(x100141)+~P23(f333(f333(f248(x100141),f333(f333(f258(x100141),x100142),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f2(x100141))) % 183.16/183.17 [4667]~E(x46672,f116(x46671))+E(f333(f197(f876(x46671)),x46672),f2(a875)) % 183.16/183.17 [4708]~E(x47081,f2(a875))+E(f333(f333(f79(a875),x47081),x47082),x47082) % 183.16/183.17 [4709]~E(x47092,f2(a875))+E(f333(f333(f80(a875),x47091),x47092),f2(a875)) % 183.16/183.17 [4711]~E(x47111,f2(a875))+E(f333(f333(f80(a875),x47111),x47112),f2(a875)) % 183.16/183.17 [4712]~E(x47122,f2(a875))+E(f333(f333(f258(a875),x47121),x47122),f77(a875)) % 183.16/183.17 [4713]~E(x47132,f2(a1))+E(f333(f333(f38(a1),x47131),x47132),f2(a1)) % 183.16/183.17 [4723]E(x47231,f116(x47232))+~E(f333(f197(f876(x47232)),x47231),f2(a875)) % 183.16/183.17 [4724]~P62(x47241)+E(f333(f333(f113(x47241),x47242),x47242),x47242) % 183.16/183.17 [4726]~P98(x47261)+E(f333(f333(f113(x47261),x47262),x47262),x47262) % 183.16/183.17 [4727]~P62(x47271)+E(f333(f333(f104(x47271),x47272),x47272),x47272) % 183.16/183.17 [4729]~P99(x47291)+E(f333(f333(f104(x47291),x47292),x47292),x47292) % 183.16/183.17 [4731]~P94(x47311)+E(f333(f333(f80(x47311),x47312),x47312),x47312) % 183.16/183.17 [4733]~P106(x47331)+E(f333(f333(f245(x47331),x47332),x47332),x47332) % 183.16/183.17 [4735]~P106(x47351)+E(f333(f333(f246(x47351),x47352),x47352),x47352) % 183.16/183.17 [4754]~P72(x47541)+E(f333(f333(f22(x47541),x47542),x47542),f2(x47541)) % 183.16/183.17 [4768]~P72(x47681)+E(f333(f78(x47681),f333(f78(x47681),x47682)),x47682) % 183.16/183.17 [4769]~P93(x47691)+E(f333(f78(x47691),f333(f78(x47691),x47692)),x47692) % 183.16/183.17 [4786]~E(x47862,f2(a875))+E(f333(f333(f258(a875),x47861),x47862),f333(a115,f2(a875))) % 183.16/183.17 [4820]~P63(x48201)+E(f333(f333(f113(x48201),f196(x48201)),x48202),x48202) % 183.16/183.17 [4821]~P97(x48211)+E(f333(f333(f104(x48211),f256(x48211)),x48212),x48212) % 183.16/183.17 [4822]~P66(x48221)+E(f333(f333(f79(x48221),f2(x48221)),x48222),x48222) % 183.16/183.17 [4823]~P109(x48231)+E(f333(f333(f79(x48231),f2(x48231)),x48232),x48232) % 183.16/183.17 [4824]~P78(x48241)+E(f333(f333(f79(x48241),f2(x48241)),x48242),x48242) % 183.16/183.17 [4825]~P109(x48251)+E(f333(f333(f80(x48251),f77(x48251)),x48252),x48252) % 183.16/183.17 [4826]~P73(x48261)+E(f333(f333(f80(x48261),f77(x48261)),x48262),x48262) % 183.16/183.17 [4827]~P77(x48271)+E(f333(f333(f80(x48271),f77(x48271)),x48272),x48272) % 183.16/183.17 [4845]~P97(x48451)+E(f333(f333(f113(x48451),f256(x48451)),x48452),f256(x48451)) % 183.16/183.17 [4846]~P63(x48461)+E(f333(f333(f104(x48461),f196(x48461)),x48462),f196(x48461)) % 183.16/183.17 [4847]~P109(x48471)+E(f333(f333(f80(x48471),f2(x48471)),x48472),f2(x48471)) % 183.16/183.17 [4848]~P124(x48481)+E(f333(f333(f80(x48481),f2(x48481)),x48482),f2(x48481)) % 183.16/183.17 [4849]~P77(x48491)+E(f333(f333(f258(x48491),f77(x48491)),x48492),f77(x48491)) % 183.16/183.17 [4850]~P55(x48501)+E(f333(f333(f38(x48501),f2(x48501)),x48502),f2(x48501)) % 183.16/183.17 [4851]~P117(x48511)+E(f333(f333(f291(x48511),f2(x48511)),x48512),f2(x48511)) % 183.16/183.17 [4859]E(x48591,f116(x48592))+E(f145(x48592,f333(f170(x48592),x48591)),f333(f142(x48592),x48591)) % 183.16/183.17 [4860]E(x48601,f116(x48602))+E(f333(f142(x48602),f333(f170(x48602),x48601)),f145(x48602,x48601)) % 183.16/183.17 [4861]E(x48611,f2(a875))+~E(f333(f333(f79(a875),x48612),x48611),x48612) % 183.16/183.17 [4867]~P138(x48671)+E(f333(f105(x48671),f333(f103(a1),x48672)),f333(f103(x48671),x48672)) % 183.16/183.17 [4868]~P90(x48681)+E(f333(f105(x48681),f333(f106(a1),x48682)),f333(f106(x48681),x48682)) % 183.16/183.17 [4875]E(x48751,f77(a875))+~E(f333(f333(f80(a875),x48752),x48751),f77(a875)) % 183.16/183.17 [4876]E(x48761,f77(a875))+~E(f333(f333(f80(a875),x48761),x48762),f77(a875)) % 183.16/183.17 [4877]E(x48771,f2(a875))+~E(f333(f333(f79(a875),x48772),x48771),f2(a875)) % 183.16/183.17 [4878]E(x48781,f2(a875))+~E(f333(f333(f79(a875),x48781),x48782),f2(a875)) % 183.16/183.17 [4893]~P114(x48931)+E(f333(f74(x48931),f333(f103(x48931),x48932)),f333(f103(x48931),x48932)) % 183.16/183.17 [4894]~P83(x48941)+E(f333(f74(x48941),f333(f74(x48941),x48942)),f333(f74(x48941),x48942)) % 183.16/183.17 [4895]~P83(x48951)+E(f333(f74(x48951),f333(f78(x48951),x48952)),f333(f74(x48951),x48952)) % 183.16/183.17 [4896]~P66(x48961)+E(f333(f167(x48961),f333(f170(x48961),x48962)),f333(f167(x48961),x48962)) % 183.16/183.17 [4901]~E(x49011,f333(a115,f2(a875)))+E(f333(f333(f258(a875),x49011),x49012),f333(a115,f2(a875))) % 183.16/183.17 [4910]~P72(x49101)+E(f333(f333(f22(x49101),f2(x49101)),x49102),f333(f78(x49101),x49102)) % 183.16/183.17 [4911]~E(x49112,f2(a875))+E(f140(a875,f333(f303(a875,x49111),x49112)),f116(a875)) % 183.16/183.17 [4920]~P90(x49201)+E(f333(f333(f79(x49201),x49202),f333(f106(x49201),a82)),x49202) % 183.16/183.17 [4921]E(x49211,f2(a1))+E(f46(f333(f74(a1),x49212),f333(f74(a1),x49211)),f52(x49212,x49211)) % 183.16/183.17 [4937]~E(x49371,x49372)+P23(f333(f333(f247(a875),x49371),x49372)) % 183.16/183.17 [4944]~E(x49441,f2(a102))+E(f333(f333(f79(a875),f333(a19,x49441)),x49442),x49442) % 183.16/183.17 [4945]~E(f333(f106(a1),x49452),f333(f103(a1),x49451))+E(x49451,f333(a107,f333(f106(a1),x49452))) % 183.16/183.17 [4954]~P27(x49541)+P27(f333(f333(f258(a1),x49541),x49542)) % 183.16/183.17 [4955]~P93(x49551)+E(f333(f333(f113(x49551),x49552),f333(f78(x49551),x49552)),f256(x49551)) % 183.16/183.17 [4956]~P93(x49561)+E(f333(f333(f104(x49561),x49562),f333(f78(x49561),x49562)),f196(x49561)) % 183.16/183.17 [4957]~P72(x49571)+E(f333(f333(f79(x49571),x49572),f333(f78(x49571),x49572)),f2(x49571)) % 183.16/183.17 [4982]E(x49821,f2(a875))+~E(f333(f78(a1),f333(f103(a1),x49822)),f333(f103(a1),x49821)) % 183.16/183.17 [4983]E(x49831,f2(a875))+~E(f333(f78(a1),f333(f103(a1),x49831)),f333(f103(a1),x49832)) % 183.16/183.17 [4993]E(f203(x49931,x49932),f2(a1))+P23(f333(f333(f247(a1),x49932),x49931)) % 183.16/183.17 [4994]E(f181(x49941,x49942),f116(a1))+P23(f333(f333(f247(a1),x49941),x49942)) % 183.16/183.17 [5007]E(x50071,f333(a115,f2(a875)))+~E(f333(f333(f80(a875),x50072),x50071),f333(a115,f2(a875))) % 183.16/183.17 [5008]E(x50081,f333(a115,f2(a875)))+~E(f333(f333(f80(a875),x50081),x50082),f333(a115,f2(a875))) % 183.16/183.17 [5009]~P105(x50091)+P23(f333(f333(f247(x50091),x50092),x50092)) % 183.16/183.17 [5010]~P92(x50101)+P23(f333(f333(f90(x50101),x50102),x50102)) % 183.16/183.17 [5013]~P90(x50131)+E(f333(f333(f80(x50131),x50132),f333(f106(x50131),a100)),f333(f78(x50131),x50132)) % 183.16/183.17 [5031]~P138(x50311)+E(f333(f78(x50311),f333(f105(x50311),x50312)),f333(f105(x50311),f333(f78(a1),x50312))) % 183.16/183.17 [5032]~P90(x50321)+E(f333(f78(x50321),f333(f106(x50321),x50322)),f333(f106(x50321),f333(f78(a1),x50322))) % 183.16/183.17 [5061]~E(x50611,f333(a115,x50612))+P23(f333(f333(f248(a875),f2(a875)),x50611)) % 183.16/183.17 [5078]~P106(x50781)+E(f333(f78(f882(x50781,a870)),f333(f254(x50781),x50782)),f333(f255(x50781),x50782)) % 183.16/183.17 [5079]~P106(x50791)+E(f333(f78(f882(x50791,a870)),f333(f305(x50791),x50792)),f333(f302(x50791),x50792)) % 183.16/183.17 [5080]~P106(x50801)+E(f333(f78(f882(x50801,a870)),f333(f255(x50801),x50802)),f333(f254(x50801),x50802)) % 183.16/183.17 [5081]~P106(x50811)+E(f333(f78(f882(x50811,a870)),f333(f302(x50811),x50812)),f333(f305(x50811),x50812)) % 183.16/183.17 [5089]~E(f333(f103(a1),x50892),x50891)+P23(f333(f333(f247(a1),f2(a1)),x50891)) % 183.16/183.17 [5096]~E(x50962,f2(a1))+E(f52(x50961,x50962),f333(f333(f268(a1,a1),f2(a1)),f333(f74(a1),x50961))) % 183.16/183.17 [5098]~P24(x50981)+P23(f333(f333(f247(x50981),f196(x50981)),x50982)) % 183.16/183.17 [5130]E(x51301,x51302)+~E(f333(f333(f79(a1),x51301),x51301),f333(f333(f79(a1),x51302),x51302)) % 183.16/183.17 [5134]~P23(f333(x51341,x51342))+P23(f333(x51341,f333(a107,f373(x51341)))) % 183.16/183.17 [5160]~P114(x51601)+E(f333(f333(f80(x51601),f81(x51601,x51602)),f333(f74(x51601),x51602)),x51602) % 183.16/183.17 [5161]E(x51611,x51612)+~P23(f333(f333(f202(a24),x51611),x51612)) % 183.16/183.17 [5168]~E(x51682,f2(a875))+E(f84(f881(a875,a875),f47(x51681,x51682)),f333(f333(f268(a875,a875),f2(a875)),x51681)) % 183.16/183.17 [5173]~E(x51731,x51732)+~P23(f333(f333(f248(a875),x51731),x51732)) % 183.16/183.17 [5174]~E(x51741,x51742)+~P23(f333(f333(f248(a1),x51741),x51742)) % 183.16/183.17 [5177]~P141(x51771)+E(f333(f333(f79(x51771),f77(x51771)),f333(f103(x51771),x51772)),f333(f103(x51771),f333(a115,x51772))) % 183.16/183.17 [5181]~E(x51811,f2(a875))+~P23(f333(f333(f248(a875),x51812),x51811)) % 183.16/183.17 [5197]E(f153(x51971,x51972),x51972)+~E(f333(f197(f876(x51971)),f153(x51971,x51972)),f333(f197(f876(x51971)),x51972)) % 183.16/183.17 [5198]E(f333(f37(x51981),f333(f174(x51981),x51982)),f333(f197(f876(x51981)),x51982))+~P23(f333(f138(x51981),x51982)) % 183.16/183.17 [5209]~P23(f333(x52091,f374(x52091)))+P23(f333(x52091,f333(f103(a1),x52092))) % 183.16/183.17 [5220]E(f281(x52201,x52202),f77(a102))+~P23(f333(f333(f248(a102),x52202),x52201)) % 183.16/183.17 [5221]E(f181(x52211,x52212),f116(a1))+~P23(f333(f333(f248(a1),x52212),x52211)) % 183.16/183.17 [5222]E(f126(x52221,x52222),f118(a1))+~P23(f333(f333(f248(a1),x52221),x52222)) % 183.16/183.17 [5223]~P108(x52231)+E(f304(x52231,x52232,x52232),f333(f333(f311(x52231),x52232),f196(f882(x52231,a870)))) % 183.16/183.17 [5245]~E(f333(f333(f22(a875),x52451),x52452),f2(a875))+P23(f333(f333(f247(a875),x52451),x52452)) % 183.16/183.17 [5246]~E(f333(f333(f22(a1),x52461),x52462),f2(a1))+P23(f333(f333(f90(a1),x52461),x52462)) % 183.16/183.17 [5269]~E(x52692,f2(a875))+E(f54(x52691,x52692,f116(x52691)),f333(f333(f152(f876(x52691)),f116(x52691)),f116(f876(x52691)))) % 183.16/183.17 [5273]~P105(x52731)+~P23(f333(f333(f248(x52731),x52732),x52732)) % 183.16/183.17 [5276]~E(f44(a1,x52761,x52762),f2(a1))+E(f44(a1,x52761,f333(f78(a1),x52762)),f2(a1)) % 183.16/183.17 [5278]~E(f44(a1,x52781,x52782),f2(a1))+E(f44(a1,f333(f78(a1),x52781),x52782),f2(a1)) % 183.16/183.17 [5287]E(f333(f303(a875,x52871),f333(a115,x52872)),f196(f882(a875,a870)))+P23(f333(f333(f247(a875),x52871),x52872)) % 183.16/183.17 [5308]E(f140(a875,f333(f303(a875,x53081),x53082)),f116(a875))+P23(f333(f333(f248(a875),x53081),x53082)) % 183.16/183.17 [5313]~E(f333(f37(x53131),f333(f174(x53131),x53132)),f333(f197(f876(x53131)),x53132))+P23(f333(f138(x53131),x53132)) % 183.16/183.17 [5318]~P23(f333(f138(x53181),x53182))+P23(f333(f138(x53181),f333(f169(x53181),x53182))) % 183.16/183.17 [5319]~P23(f333(f138(x53191),x53192))+P23(f333(f138(x53191),f333(f173(x53191),x53192))) % 183.16/183.17 [5320]~P23(f333(f138(x53201),x53202))+P23(f333(f138(x53201),f333(f170(x53201),x53202))) % 183.16/183.17 [5327]P23(f333(x53271,x53272))+~P23(f333(x53271,f333(a107,f401(x53271)))) % 183.16/183.17 [5328]P23(f333(f333(f247(a875),x53282),x53281))+P23(f333(f333(f247(a875),x53281),x53282)) % 183.16/183.17 [5329]P23(f333(f333(f247(a1),x53292),x53291))+P23(f333(f333(f247(a1),x53291),x53292)) % 183.16/183.17 [5331]~P83(x53311)+P23(f333(f333(f247(x53311),x53312),f333(f74(x53311),x53312))) % 183.16/183.17 [5334]P23(f333(x53341,f375(x53341)))+~P23(f333(x53341,f333(f103(a1),x53342))) % 183.16/183.17 [5359]E(f333(f333(f22(a875),x53591),x53592),f2(a875))+~P23(f333(f333(f247(a875),x53591),x53592)) % 183.16/183.17 [5360]E(f333(f333(f22(a1),x53601),x53602),f2(a1))+~P23(f333(f333(f90(a1),x53601),x53602)) % 183.16/183.17 [5361]E(f333(f333(f38(a875),x53611),x53612),f2(a875))+~P23(f333(f333(f248(a875),x53611),x53612)) % 183.16/183.17 [5379]E(f44(a875,x53791,x53792),x53791)+~P23(f333(f333(f248(a875),x53791),x53792)) % 183.16/183.17 [5388]E(f44(a1,x53881,f333(f78(a1),x53882)),f292(x53881,x53882))+P23(f333(f333(f247(a1),f2(a1)),x53882)) % 183.16/183.17 [5400]E(f333(f333(f22(a1),x54001),x54002),f203(x54001,x54002))+~P23(f333(f333(f247(a1),x54002),x54001)) % 183.16/183.17 [5419]P23(f333(f333(f247(a1),f2(a1)),f374(x54191)))+P23(f333(x54191,f333(f103(a1),x54192))) % 183.16/183.17 [5431]~P57(x54311)+P23(f333(f333(f335(x54311),x54312),f333(f174(x54311),f55(x54311)))) % 183.16/183.17 [5433]~P120(x54331)+P23(f333(f333(f247(x54331),f2(x54331)),f333(f103(x54331),x54332))) % 183.16/183.17 [5434]~P83(x54341)+P23(f333(f333(f247(x54341),f2(x54341)),f333(f74(x54341),x54342))) % 183.16/183.17 [5461]E(f333(f333(f79(a875),x54611),f804(x54612,x54611)),x54612)+~P23(f333(f333(f247(a875),x54611),x54612)) % 183.16/183.17 [5473]~E(f333(f106(a1),x54731),f333(f103(a1),x54732))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x54731))) % 183.16/183.17 [5476]E(f304(a1,x54761,x54762),f196(f882(a1,a870)))+~P23(f333(f333(f248(a1),x54762),x54761)) % 183.16/183.17 [5478]~P114(x54781)+E(f333(f333(f80(x54781),f333(f74(x54781),x54782)),f333(f74(x54781),x54782)),f333(f333(f80(x54781),x54782),x54782)) % 183.16/183.17 [5484]E(f140(a875,f333(f303(a875,x54841),f333(a115,x54842))),f116(a875))+P23(f333(f333(f247(a875),x54841),x54842)) % 183.16/183.17 [5488]E(f333(f333(f38(a1),x54881),x54882),f293(x54881,x54882))+~P23(f333(f333(f247(a1),f2(a1)),x54882)) % 183.16/183.17 [5508]P23(f333(f138(x55081),x55082))+~P23(f333(f138(x55081),f333(f169(x55081),x55082))) % 183.16/183.17 [5509]P23(f333(f138(x55091),x55092))+~P23(f333(f138(x55091),f333(f170(x55091),x55092))) % 183.16/183.17 [5530]P23(f333(f61(a875),x55301))+P23(f333(f333(f335(a875),f344(x55301,x55302)),x55301)) % 183.16/183.17 [5531]P23(f333(f61(a875),x55311))+P23(f333(f333(f335(a875),f354(x55311,x55312)),x55311)) % 183.16/183.17 [5534]P23(f333(f333(f248(a875),x55342),f333(a115,x55341)))+P23(f333(f333(f248(a875),x55341),x55342)) % 183.16/183.17 [5535]E(f44(a1,x55351,x55352),f292(x55351,x55352))+~P23(f333(f333(f247(a1),f2(a1)),x55352)) % 183.16/183.17 [5538]E(f140(a875,f333(f303(a875,x55381),x55382)),f116(a875))+~P23(f333(f333(f247(a875),x55382),x55381)) % 183.16/183.17 [5539]~P82(x55391)+E(f333(f312(x55391,x55391,f78(x55391)),f333(f254(x55391),x55392)),f333(f305(x55391),f333(f78(x55391),x55392))) % 183.16/183.17 [5540]~P82(x55401)+E(f333(f312(x55401,x55401,f78(x55401)),f333(f305(x55401),x55402)),f333(f254(x55401),f333(f78(x55401),x55402))) % 183.16/183.17 [5541]~P82(x55411)+E(f333(f312(x55411,x55411,f78(x55411)),f333(f255(x55411),x55412)),f333(f302(x55411),f333(f78(x55411),x55412))) % 183.16/183.17 [5542]~P82(x55421)+E(f333(f312(x55421,x55421,f78(x55421)),f333(f302(x55421),x55422)),f333(f255(x55421),f333(f78(x55421),x55422))) % 183.16/183.17 [5553]E(x55531,f196(f882(x55532,a870)))+P23(f333(f333(f335(x55532),f451(x55531,x55532)),x55531)) % 183.16/183.17 [5554]E(x55541,f196(f882(x55542,a870)))+P23(f333(f333(f335(x55542),f454(x55541,x55542)),x55541)) % 183.16/183.17 [5565]~P23(f333(f333(f248(a875),x55651),x55652))+P23(f333(f333(f247(a875),x55651),x55652)) % 183.16/183.17 [5566]~P23(f333(f333(f248(a1),x55661),x55662))+P23(f333(f333(f247(a1),x55661),x55662)) % 183.16/183.17 [5582]E(f46(x55821,x55822),f333(f333(f268(a1,a1),f2(a1)),x55821))+~P23(f333(f333(f248(a1),x55821),x55822)) % 183.16/183.17 [5584]E(f227(f333(f78(a1),x55841),f333(f78(a1),x55842)),f227(x55841,x55842))+~P23(f333(f333(f248(a1),x55842),f2(a1))) % 183.16/183.17 [5595]E(x55951,x55952)+~E(f333(a3,f333(a115,f333(a19,x55951))),f333(a3,f333(a115,f333(a19,x55952)))) % 183.16/183.17 [5600]E(f46(x56001,x56002),f333(f333(f268(a1,a1),f2(a1)),x56001))+~P23(f333(f333(f247(a1),x56002),f2(a1))) % 183.16/183.17 [5627]E(f44(a875,f333(f106(a875),x56271),f333(f106(a875),x56272)),f2(a875))+~P23(f333(a201,f333(f106(a1),x56271))) % 183.16/183.17 [5642]P23(f333(f333(f247(a1),f2(a1)),f375(x56421)))+~P23(f333(x56421,f333(f103(a1),x56422))) % 183.16/183.17 [5676]P38(f304(a1,x56761,x56762))+~P23(f333(f333(f247(a1),f2(a1)),x56761)) % 183.16/183.17 [5681]~P23(f333(f61(x56811),x56812))+P23(f333(f61(f882(x56811,a870)),f333(f310(x56811),x56812))) % 183.16/183.17 [5694]E(f333(f333(f79(a1),x56941),f333(f103(a1),f384(x56942,x56941))),x56942)+~P23(f333(f333(f247(a1),x56941),x56942)) % 183.16/183.17 [5702]P23(f333(f333(f247(a875),x57021),x57022))+P23(f333(f333(f247(a875),f333(a115,x57022)),x57021)) % 183.16/183.17 [5745]E(f333(f333(f38(a875),f333(f106(a875),x57451)),f333(f106(a875),x57452)),f2(a875))+~P23(f333(a201,f333(f106(a1),x57451))) % 183.16/183.17 [5746]E(f333(f333(f80(a875),f333(f106(a875),x57461)),f333(f106(a875),x57462)),f2(a875))+~P23(f333(f333(f248(a1),x57461),a82)) % 183.16/183.17 [5748]P23(f333(f333(f248(a875),x57481),f333(a115,x57482)))+~P23(f333(f333(f248(a875),x57481),x57482)) % 183.16/183.17 [5750]P23(f333(f333(f248(a875),x57501),f333(a115,x57502)))+~P23(f333(f333(f247(a875),x57501),x57502)) % 183.16/183.17 [5752]P23(f333(f333(f247(a875),x57521),f333(a115,x57522)))+~P23(f333(f333(f247(a875),x57521),x57522)) % 183.16/183.17 [5755]~E(x57551,x57552)+P23(f333(f333(f248(a1),x57551),f333(f333(f79(a1),x57552),f77(a1)))) % 183.16/183.17 [5758]E(f44(a1,x57581,x57582),f2(a1))+E(f333(f333(f22(a1),x57582),f44(a1,x57581,x57582)),f44(a1,f333(f78(a1),x57581),x57582)) % 183.16/183.17 [5767]E(x57671,f116(x57672))+P23(f333(f333(f335(x57672),f145(x57672,x57671)),f333(f174(x57672),x57671))) % 183.16/183.17 [5779]E(f84(f881(a875,a875),f47(x57791,x57792)),f333(f333(f268(a875,a875),f2(a875)),x57791))+~P23(f333(f333(f248(a875),x57791),x57792)) % 183.16/183.17 [5812]E(f333(f333(f22(a875),f333(f106(a875),x58121)),f333(f106(a875),x58122)),f333(f106(a875),x58121))+~P23(f333(f333(f248(a1),x58122),a82)) % 183.16/183.17 [5813]E(f333(f333(f79(a875),f333(f106(a875),x58131)),f333(f106(a875),x58132)),f333(f106(a875),x58132))+~P23(f333(f333(f248(a1),x58131),a82)) % 183.16/183.17 [5818]E(f333(a115,f333(f333(f79(a875),x58181),f805(x58182,x58181))),x58182)+~P23(f333(f333(f248(a875),x58181),x58182)) % 183.16/183.17 [5841]P23(f333(x58411,x58412))+~P23(f333(x58411,f333(a88,f588(x58412,x58411)))) % 183.16/183.17 [5849]~P23(f333(f333(f248(a875),x58491),f333(a115,x58492)))+P23(f333(f333(f247(a875),x58491),x58492)) % 183.16/183.17 [5895]E(f333(f333(f311(a875),x58951),f333(f303(a875,x58952),x58951)),f333(f303(a875,x58952),f333(a115,x58951)))+~P23(f333(f333(f247(a875),x58952),x58951)) % 183.16/183.17 [5897]E(x58971,f116(x58972))+E(f333(f333(f135(x58972),f117(x58972,x58971)),f333(f333(f152(x58972),f145(x58972,x58971)),f116(x58972))),x58971) % 183.16/183.17 [5911]P23(f333(f61(x59111),x59112))+~P23(f333(f333(f248(a875),f2(a875)),f333(f37(x59111),x59112))) % 183.16/183.17 [5913]~E(x59131,f196(f882(x59132,a870)))+~P23(f333(f333(f248(a875),f2(a875)),f333(f37(x59132),x59131))) % 183.16/183.17 [5925]~P23(f333(f333(f248(a875),x59251),x59252))+P23(f333(f333(f247(a875),f333(a115,x59251)),x59252)) % 183.16/183.17 [5933]~P106(x59331)+E(f151(x59331,x59331,f5(x59331),f153(x59331,x59332)),f140(x59331,f333(f174(x59331),x59332))) % 183.16/183.17 [5936]E(x59361,f116(x59362))+P23(f333(f333(f335(x59362),f333(f142(x59362),x59361)),f333(f174(x59362),x59361))) % 183.16/183.17 [5942]~P120(x59421)+P23(f333(f333(f248(x59421),x59422),f333(f333(f79(x59421),x59422),f77(x59421)))) % 183.16/183.17 [5944]~P83(x59441)+P23(f333(f333(f247(x59441),f333(f78(x59441),x59442)),f333(f74(x59441),x59442))) % 183.16/183.17 [5977]P23(f333(f61(a875),x59771))+~P23(f333(f333(f248(a875),f344(x59771,x59772)),x59772)) % 183.16/183.17 [5978]P23(f333(f61(a875),x59781))+~P23(f333(f333(f247(a875),f354(x59781,x59782)),x59782)) % 183.16/183.17 [5982]~P23(f333(f61(f881(x59821,x59821)),x59822))+P23(f333(f61(x59821),f333(f286(x59821),x59822))) % 183.16/183.17 [6036]~P23(f333(f333(f248(a875),x60362),f333(a115,x60361)))+~P23(f333(f333(f248(a875),x60361),x60362)) % 183.16/183.17 [6037]~P108(x60371)+E(f333(f333(f104(f882(x60371,a870)),f333(f302(x60371),x60372)),f333(f255(x60371),x60372)),f333(f333(f311(x60371),x60372),f196(f882(x60371,a870)))) % 183.16/183.17 [6050]P23(f333(f61(x60501),x60502))+~P23(f333(f61(f882(x60501,a870)),f333(f310(x60501),x60502))) % 183.16/183.17 [6075]P23(f333(f333(f248(a875),f333(a115,x60751)),f333(a115,x60752)))+~P23(f333(f333(f248(a875),x60751),x60752)) % 183.16/183.17 [6076]P23(f333(f333(f248(a875),f333(a19,x60761)),f333(a19,x60762)))+~P23(f333(f333(f248(a102),x60761),x60762)) % 183.16/183.17 [6077]P23(f333(f333(f248(a102),f333(a3,x60771)),f333(a3,x60772)))+~P23(f333(f333(f248(a875),x60771),x60772)) % 183.16/183.17 [6078]P23(f333(f333(f247(a875),f333(a115,x60781)),f333(a115,x60782)))+~P23(f333(f333(f247(a875),x60781),x60782)) % 183.16/183.17 [6079]P23(f333(f333(f247(a875),f333(a19,x60791)),f333(a19,x60792)))+~P23(f333(f333(f247(a102),x60791),x60792)) % 183.16/183.17 [6080]P23(f333(f333(f247(a102),f333(a3,x60801)),f333(a3,x60802)))+~P23(f333(f333(f247(a875),x60801),x60802)) % 183.16/183.17 [6083]E(x60831,x60832)+~E(f333(f312(a875,a1,f103(a1)),x60831),f333(f312(a875,a1,f103(a1)),x60832)) % 183.16/183.17 [6099]P23(f333(f333(f248(a875),x60991),x60992))+~P23(f333(f333(f248(a875),f333(a115,x60991)),x60992)) % 183.16/183.17 [6102]P23(f333(f333(f248(a875),x61021),x61022))+~P23(f333(f333(f247(a875),f333(a115,x61021)),x61022)) % 183.16/183.17 [6103]P23(f333(f333(f247(a875),x61031),x61032))+~P23(f333(f333(f247(a875),f333(a115,x61031)),x61032)) % 183.16/183.17 [6118]E(f44(a1,x61181,x61182),f2(a1))+E(f333(f333(f22(a1),f44(a1,x61181,x61182)),x61182),f44(a1,x61181,f333(f78(a1),x61182))) % 183.16/183.17 [6183]E(f333(f37(f882(x61831,a870)),f333(f310(x61831),x61832)),f333(f333(f258(a875),f333(a115,f333(a115,f2(a875)))),f333(f37(x61831),x61832)))+~P23(f333(f61(x61831),x61832)) % 183.16/183.17 [6186]E(x61861,f116(x61862))+E(f333(f333(f166(x61862),x61861),f333(f333(f22(a875),f333(f197(f876(x61862)),x61861)),f77(a875))),f145(x61862,x61861)) % 183.16/183.17 [6211]E(x62111,f116(x62112))+E(f333(f333(f135(x62112),f333(f173(x62112),x62111)),f333(f333(f152(x62112),f333(f142(x62112),x62111)),f116(x62112))),f333(f169(x62112),x62111)) % 183.16/183.17 [6240]~P23(f333(f61(x62401),f39(f882(x62401,a870),x62402)))+P23(f333(f61(f882(x62401,a870)),x62402)) % 183.16/183.17 [6263]P23(f333(f333(f247(a875),f333(f106(a875),x62631)),f333(f106(a875),x62632)))+~P23(f333(f333(f247(a1),x62631),a82)) % 183.16/183.17 [6280]~P23(f333(f333(f248(a1),x62801),x62802))+P23(f333(f333(f248(a1),x62801),f333(f333(f79(a1),x62802),f77(a1)))) % 183.16/183.17 [6281]~P23(f333(f333(f247(a1),x62811),x62812))+P23(f333(f333(f248(a1),x62811),f333(f333(f79(a1),x62812),f77(a1)))) % 183.16/183.17 [6282]~P23(f333(f333(f248(a1),x62821),x62822))+P23(f333(f333(f247(a1),x62821),f333(f333(f22(a1),x62822),f77(a1)))) % 183.16/183.17 [6285]~P23(f333(f333(f248(a875),x62851),x62852))+P23(f333(f333(f248(a1),f333(f103(a1),x62851)),f333(f103(a1),x62852))) % 183.16/183.17 [6286]~P23(f333(f333(f248(a1),x62861),x62862))+P23(f333(f333(f248(a1),f333(f106(a1),x62861)),f333(f106(a1),x62862))) % 183.16/183.17 [6287]~P23(f333(f333(f247(a1),x62871),x62872))+P23(f333(f333(f247(a875),f333(f106(a875),x62871)),f333(f106(a875),x62872))) % 183.16/183.17 [6289]~P23(f333(f333(f247(a875),x62891),x62892))+P23(f333(f333(f247(a1),f333(f103(a1),x62891)),f333(f103(a1),x62892))) % 183.16/183.17 [6290]~P23(f333(f333(f247(a1),x62901),x62902))+P23(f333(f333(f247(a1),f333(f106(a1),x62901)),f333(f106(a1),x62902))) % 183.16/183.17 [6291]~P23(f333(f333(f90(a1),x62911),x62912))+P23(f333(f333(f90(a1),f333(f106(a1),x62911)),f333(f106(a1),x62912))) % 183.16/183.17 [6309]~P23(f333(f333(f247(a875),x63091),x63092))+~P23(f333(f333(f247(a875),f333(a115,x63092)),x63091)) % 183.16/183.17 [6353]~P23(f333(f333(f248(a875),f333(a115,x63531)),f333(a115,x63532)))+P23(f333(f333(f248(a875),x63531),x63532)) % 183.16/183.17 [6354]~P23(f333(f333(f248(a102),f333(a3,x63541)),f333(a3,x63542)))+P23(f333(f333(f248(a875),x63541),x63542)) % 183.16/183.17 [6355]~P23(f333(f333(f248(a875),f333(a107,x63551)),f333(a107,x63552)))+P23(f333(f333(f248(a1),x63551),x63552)) % 183.16/183.17 [6356]~P23(f333(f333(f248(a875),f333(a19,x63561)),f333(a19,x63562)))+P23(f333(f333(f248(a102),x63561),x63562)) % 183.16/183.17 [6357]~P23(f333(f333(f247(a875),f333(a115,x63571)),f333(a115,x63572)))+P23(f333(f333(f247(a875),x63571),x63572)) % 183.16/183.17 [6358]~P23(f333(f333(f247(a102),f333(a3,x63581)),f333(a3,x63582)))+P23(f333(f333(f247(a875),x63581),x63582)) % 183.16/183.17 [6359]~P23(f333(f333(f247(a875),f333(a19,x63591)),f333(a19,x63592)))+P23(f333(f333(f247(a102),x63591),x63592)) % 183.16/183.17 [6399]~P23(f333(f333(f248(a875),f333(a107,x63992)),f333(a107,x63991)))+P23(f333(f333(f248(a1),f2(a1)),x63991)) % 183.16/183.17 [6430]P23(f333(f333(f247(a1),f2(a1)),f44(a1,x64301,x64302)))+~P23(f333(f333(f248(a1),f2(a1)),x64302)) % 183.16/183.17 [6587]P37(x65871,x65872)+~E(f333(f333(f290(x65871,x65871,x65871),x65872),x65872),f196(f882(f881(x65871,x65871),a870))) % 183.16/183.17 [6599]~P37(x65991,x65992)+P37(x65991,f333(f333(f290(x65991,x65991,x65991),x65992),x65992)) % 183.16/183.17 [6611]P23(f333(f333(f248(a1),x66111),x66112))+~P23(f333(f333(f247(a1),x66111),f333(f333(f22(a1),x66112),f77(a1)))) % 183.16/183.17 [6612]P23(f333(f333(f247(a1),x66121),x66122))+~P23(f333(f333(f248(a1),x66121),f333(f333(f79(a1),x66122),f77(a1)))) % 183.16/183.17 [6615]P23(f333(f333(f248(a875),x66151),x66152))+~P23(f333(f333(f248(a1),f333(f103(a1),x66151)),f333(f103(a1),x66152))) % 183.16/183.17 [6616]P23(f333(f333(f248(a1),x66161),x66162))+~P23(f333(f333(f248(a875),f333(f106(a875),x66161)),f333(f106(a875),x66162))) % 183.16/183.17 [6617]P23(f333(f333(f248(a1),x66171),x66172))+~P23(f333(f333(f248(a1),f333(f106(a1),x66171)),f333(f106(a1),x66172))) % 183.16/183.17 [6619]P23(f333(f333(f247(a875),x66191),x66192))+~P23(f333(f333(f247(a1),f333(f103(a1),x66191)),f333(f103(a1),x66192))) % 183.16/183.17 [6620]P23(f333(f333(f247(a1),x66201),x66202))+~P23(f333(f333(f247(a1),f333(f106(a1),x66201)),f333(f106(a1),x66202))) % 183.16/183.17 [6621]P23(f333(f333(f90(a1),x66211),x66212))+~P23(f333(f333(f90(a1),f333(f106(a1),x66211)),f333(f106(a1),x66212))) % 183.16/183.17 [6714]~E(f729(x67142,x67141),f116(x67141))+E(f333(f143(f876(x67141),f876(x67141),f135(x67141),f116(x67141)),x67142),f116(x67141)) % 183.16/183.17 [6715]~E(f730(x67152,x67151),f116(x67151))+E(f333(f143(f876(x67151),f876(x67151),f135(x67151),f116(x67151)),x67152),f116(x67151)) % 183.16/183.17 [6722]~P26(x67221)+E(f333(f143(x67221,x67221,f104(x67221),f256(x67221)),x67222),f40(x67221,f333(f174(x67221),x67222))) % 183.16/183.17 [6723]~P26(x67231)+E(f333(f143(x67231,x67231,f113(x67231),f196(x67231)),x67232),f39(x67231,f333(f174(x67231),x67232))) % 183.16/183.17 [6735]E(x67351,f2(a102))+E(f333(f333(f79(a875),f333(a19,f333(f333(f22(a102),x67351),f77(a102)))),f333(a115,x67352)),f333(f333(f79(a875),f333(a19,x67351)),x67352)) % 183.16/183.17 [6785]P23(f333(f333(f248(a1),f333(f333(f22(a1),x67851),x67852)),f2(a1)))+~P23(f333(f333(f248(a1),x67851),x67852)) % 183.16/183.17 [6813]~P106(x68131)+E(f333(f333(f113(f882(x68131,a870)),f333(f333(f311(x68131),x68132),f196(f882(x68131,a870)))),f333(f305(x68131),x68132)),f333(f255(x68131),x68132)) % 183.16/183.17 [6888]~P54(x68881,x68882)+P37(x68881,f333(f253(f881(x68881,x68881)),f333(f272(x68881,x68881,a870),x68882))) % 183.16/183.17 [6889]~P54(x68891,x68892)+P52(x68891,f333(f253(f881(x68891,x68891)),f333(f272(x68891,x68891,a870),x68892))) % 183.16/183.17 [6890]E(x68901,f196(f882(x68902,a870)))+~P23(f333(f333(f247(f882(x68902,a870)),x68901),f196(f882(x68902,a870)))) % 183.16/183.17 [6973]~P23(f333(f333(f248(a875),f2(a875)),x69732))+P23(f333(f333(f248(a875),f44(a875,x69731,x69732)),x69732)) % 183.16/183.17 [6975]~P23(f333(f333(f248(a1),f2(a1)),x69752))+P23(f333(f333(f248(a1),f44(a1,x69751,x69752)),x69752)) % 183.16/183.17 [6976]~P23(f333(f333(f248(a875),f2(a875)),x69762))+P23(f333(f333(f247(a875),f44(a875,x69761,x69762)),x69762)) % 183.16/183.17 [6977]~P23(f333(f333(f247(a1),f2(a1)),x69771))+P23(f333(f333(f247(a1),f44(a1,x69771,x69772)),x69771)) % 183.16/183.17 [7055]~P108(x70551)+E(f333(f333(f22(f882(x70551,a870)),f333(f333(f311(x70551),x70552),f196(f882(x70551,a870)))),f333(f254(x70551),x70552)),f333(f333(f311(x70551),x70552),f196(f882(x70551,a870)))) % 183.16/183.17 [7128]~P48(x71281,x71282)+P39(x71281,f256(f882(x71281,a870)),f333(f253(f881(x71281,x71281)),f333(f272(x71281,x71281,a870),x71282))) % 183.16/183.17 [7129]P23(f333(x71291,x71292))+P23(f333(f333(f335(f882(f881(a875,a875),a870)),f588(x71292,x71291)),a101)) % 183.16/183.17 [7174]E(f333(f333(f135(a875),f140(a875,f333(f303(a875,x71741),x71742))),f333(f333(f152(a875),x71742),f116(a875))),f140(a875,f333(f303(a875,x71741),f333(a115,x71742))))+~P23(f333(f333(f247(a875),x71741),x71742)) % 183.16/183.17 [7315]E(x73151,f2(a875))+~E(f333(f143(a875,a875,f79(a875),x73151),x73152),f2(a875)) % 183.16/183.17 [7343]~P23(f333(f333(f248(a1),f333(f333(f22(a1),x73431),x73432)),f2(a1)))+P23(f333(f333(f248(a1),x73431),x73432)) % 183.16/183.17 [7372]P37(x73721,x73722)+~P37(x73721,f333(f333(f290(x73721,x73721,x73721),x73722),x73722)) % 183.16/183.17 [7401]~P23(f333(f333(f247(a875),f333(a115,x74011)),x74012))+P23(f193(a870,a251,f333(f247(a875),x74011),x74012)) % 183.16/183.17 [7560]P20(a875,a875,f333(f333(f7(a875,a875,a875),f22(a875)),x75601),x75602)+P23(f333(f333(f335(a875),f490(x75601,x75602)),x75602)) % 183.16/183.17 [7616]E(f333(f333(f333(f65(a875,x76161,f79(a875)),f333(f16(a875,x76161),f77(a875))),f2(a875)),x76162),f333(f37(x76161),x76162))+~P23(f333(f61(x76161),x76162)) % 183.16/183.17 [7658]P20(a875,a875,f333(f333(f7(a875,a875,a875),f22(a875)),x76581),x76582)+~P23(f333(f333(f247(a875),x76581),f490(x76581,x76582))) % 183.16/183.17 [7718]P37(x77181,x77182)+P23(f333(f333(f247(f882(x77181,a870)),f599(x77182,x77181)),f333(f287(x77181,x77181,x77182),f599(x77182,x77181)))) % 183.16/183.17 [7723]P54(x77231,x77232)+~P37(x77231,f333(f253(f881(x77231,x77231)),f333(f272(x77231,x77231,a870),x77232))) % 183.16/183.17 [7796]P23(f333(f333(f247(a875),f333(a115,x77961)),x77962))+~P23(f193(a870,a251,f333(f247(a875),x77961),x77962)) % 183.16/183.17 [7851]P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x78511),x78512)),f309(a875,a323)))+~P23(f333(f333(f247(a875),x78511),x78512)) % 183.16/183.17 [7948]P48(x79481,x79482)+~P39(x79481,f256(f882(x79481,a870)),f333(f253(f881(x79481,x79481)),f333(f272(x79481,x79481,a870),x79482))) % 183.16/183.17 [8009]~P23(f333(f138(x80091),x80092))+P23(f333(f138(f882(x80091,a870)),f333(f333(f155(f876(x80091),f882(x80091,a870)),f174(x80091)),f53(x80091,x80092)))) % 183.16/183.17 [8215]~P37(x82151,f333(f288(x82151,x82151),x82152))+P37(x82151,f333(f288(x82151,x82151),f333(f333(f290(x82151,x82151,x82151),x82152),f309(x82151,x82152)))) % 183.16/183.17 [8336]P23(f333(f61(f881(x83361,x83361)),f333(f333(f290(x83361,x83361,x83361),x83362),f309(x83361,x83362))))+~P23(f333(f61(f881(x83361,x83361)),x83362)) % 183.16/183.17 [8367]E(x83671,f2(a1))+P23(f333(f48(x83672,x83671),f333(f333(f268(a1,a1),f333(f333(f38(a1),x83672),x83671)),f44(a1,x83672,x83671)))) % 183.16/183.17 [8378]~P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x83781),x83782)),f309(a875,a323)))+P23(f333(f333(f247(a875),x83781),x83782)) % 183.16/183.17 [8396]~P78(x83961)+E(f333(f143(x83961,x83961,f333(f7(x83961,x83961,x83961),f79(x83961)),f2(x83961)),f333(f170(x83961),x83962)),f333(f143(x83961,x83961,f79(x83961),f2(x83961)),x83962)) % 183.16/183.17 [8572]~P106(x85721)+E(f333(f143(f876(x85721),x85721,f333(f7(x85721,f876(x85721),f876(x85721)),f149(x85721,x85721,f5(x85721))),f116(x85721)),x85722),f151(x85721,x85721,f5(x85721),x85722)) % 183.16/183.17 [8673]~P52(x86731,f333(f253(f881(x86731,x86731)),f333(f272(x86731,x86731,a870),x86732)))+P52(x86731,f333(f253(f881(x86731,x86731)),f333(f272(x86731,x86731,a870),f257(x86731,x86731,x86732)))) % 183.16/183.17 [8687]P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x86871),x86872)),f333(f333(f290(a875,a875,a875),a323),f309(a875,a323))))+~P23(f333(f333(f248(a875),x86871),x86872)) % 183.16/183.17 [8730]~P23(f333(f61(f881(x87301,x87301)),f333(f333(f290(x87301,x87301,x87301),x87302),f309(x87301,x87302))))+P23(f333(f61(f881(x87301,x87301)),x87302)) % 183.16/183.17 [8781]~P52(x87811,f333(f253(f881(x87811,x87811)),f333(f272(x87811,x87811,a870),f257(x87811,x87811,x87812))))+P52(x87811,f333(f253(f881(x87811,x87811)),f333(f272(x87811,x87811,a870),x87812))) % 183.16/183.17 [8986]P52(x89861,x89862)+P23(f333(f333(f335(f881(x89861,x89861)),f333(f333(f268(x89861,x89861),f620(x89862,x89861)),f620(x89862,x89861))),f333(f333(f290(x89861,x89861,x89861),x89862),f309(x89861,x89862)))) % 183.16/183.17 [8987]P52(x89871,x89872)+P23(f333(f333(f335(f881(x89871,x89871)),f333(f333(f268(x89871,x89871),f634(x89872,x89871)),f634(x89872,x89871))),f333(f333(f290(x89871,x89871,x89871),x89872),f309(x89871,x89872)))) % 183.16/183.17 [9103]~P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x91031),x91032)),f333(f333(f290(a875,a875,a875),a323),f309(a875,a323))))+P23(f333(f333(f248(a875),x91031),x91032)) % 183.16/183.17 [5074]~P90(x50741)+E(f333(f333(f79(x50741),f333(f106(x50741),a82)),x50742),x50742) % 183.16/183.17 [5103]~P93(x51031)+E(f333(f333(f113(x51031),f333(f78(x51031),x51032)),x51032),f256(x51031)) % 183.16/183.17 [5104]~P93(x51041)+E(f333(f333(f104(x51041),f333(f78(x51041),x51042)),x51042),f196(x51041)) % 183.16/183.17 [5105]~P65(x51051)+E(f333(f333(f79(x51051),f333(f78(x51051),x51052)),x51052),f2(x51051)) % 183.16/183.17 [5106]~P72(x51061)+E(f333(f333(f79(x51061),f333(f78(x51061),x51062)),x51062),f2(x51061)) % 183.16/183.17 [5138]~P90(x51381)+E(f333(f333(f80(x51381),f333(f106(x51381),a100)),x51382),f333(f78(x51381),x51382)) % 183.16/183.17 [5301]~P113(x53011)+E(f333(f333(f80(x53011),f333(f78(x53011),f77(x53011))),x53012),f333(f78(x53011),x53012)) % 183.16/183.17 [5344]E(f333(f74(a1),x53441),f77(a1))+~E(f333(f74(a1),f333(f333(f80(a1),x53441),x53442)),f77(a1)) % 183.16/183.17 [5436]~P90(x54361)+E(f333(f333(f79(x54361),f77(x54361)),f333(f106(x54361),x54362)),f333(f106(x54361),f333(f333(f22(a1),x54362),a100))) % 183.16/183.17 [5489]~P62(x54891)+E(f13(x54891,f333(f333(f311(x54891),x54892),f196(f882(x54891,a870)))),x54892) % 183.16/183.17 [5490]~P62(x54901)+E(f10(x54901,f333(f333(f311(x54901),x54902),f196(f882(x54901,a870)))),x54902) % 183.16/183.17 [5491]~P26(x54911)+E(f40(x54911,f333(f333(f311(x54911),x54912),f196(f882(x54911,a870)))),x54912) % 183.16/183.17 [5492]~P26(x54921)+E(f39(x54921,f333(f333(f311(x54921),x54922),f196(f882(x54921,a870)))),x54922) % 183.16/183.17 [5493]~P106(x54931)+E(f14(x54931,f333(f333(f311(x54931),x54932),f196(f882(x54931,a870)))),x54932) % 183.16/183.17 [5494]~P106(x54941)+E(f15(x54941,f333(f333(f311(x54941),x54942),f196(f882(x54941,a870)))),x54942) % 183.16/183.17 [5516]E(f333(f333(f79(a875),x55161),f333(f333(f22(a875),x55162),x55161)),x55162)+P23(f333(f333(f248(a875),x55162),x55161)) % 183.16/183.17 [5548]E(x55481,f116(x55482))+P23(f333(f333(f248(a875),f2(a875)),f333(f197(f876(x55482)),x55481))) % 183.16/183.17 [5673]~P106(x56731)+E(f11(x56731,f245(x56731),f333(f333(f311(x56731),x56732),f196(f882(x56731,a870)))),x56732) % 183.16/183.17 [5674]~P106(x56741)+E(f12(x56741,f246(x56741),f333(f333(f311(x56741),x56742),f196(f882(x56741,a870)))),x56742) % 183.16/183.17 [5735]E(f333(f333(f22(a875),x57351),f333(f333(f22(a875),x57351),x57352)),x57352)+~P23(f333(f333(f247(a875),x57352),x57351)) % 183.16/183.17 [5736]E(f333(f333(f79(a875),x57361),f333(f333(f22(a875),x57362),x57361)),x57362)+~P23(f333(f333(f247(a875),x57361),x57362)) % 183.16/183.17 [5757]E(f44(a875,f333(f333(f22(a875),x57571),x57572),x57572),f44(a875,x57571,x57572))+P23(f333(f333(f248(a875),x57571),x57572)) % 183.16/183.17 [5768]E(f333(f78(a1),f333(f333(f38(a1),x57681),f333(f78(a1),x57682))),f293(x57681,x57682))+P23(f333(f333(f247(a1),f2(a1)),x57682)) % 183.16/183.17 [5770]~E(x57702,f2(a875))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f258(a875),x57701),x57702))) % 183.16/183.17 [5821]~P90(x58211)+E(f333(f333(f79(x58211),f333(f78(x58211),f77(x58211))),f333(f106(x58211),x58212)),f333(f106(x58211),f333(f333(f79(a1),x58212),a100))) % 183.16/183.17 [5822]E(f333(f333(f258(a875),f333(f106(a875),x58221)),x58222),f333(f333(f258(a875),f2(a875)),x58222))+~P23(f333(a201,f333(f106(a1),x58221))) % 183.16/183.17 [5917]E(f333(f142(a875),f140(a875,f333(f303(a875,x59171),x59172))),x59171)+~P23(f333(f333(f248(a875),x59171),x59172)) % 183.16/183.17 [5937]E(f333(f333(f80(a875),f333(f106(a875),x59371)),f333(f106(a875),x59372)),f333(f106(a875),f333(f333(f80(a1),x59371),x59372)))+P23(f333(f333(f248(a1),x59371),a82)) % 183.16/183.17 [5943]~P121(x59431)+P23(f333(f333(f247(x59431),f2(x59431)),f333(f333(f80(x59431),x59432),x59432))) % 183.16/183.17 [5955]E(f333(f333(f22(a875),f333(a115,x59551)),x59552),f333(a115,f333(f333(f22(a875),x59551),x59552)))+~P23(f333(f333(f247(a875),x59552),x59551)) % 183.16/183.17 [5958]E(f44(a875,f333(f333(f22(a875),x59581),x59582),x59582),f44(a875,x59581,x59582))+~P23(f333(f333(f247(a875),x59582),x59581)) % 183.16/183.17 [6011]E(f333(f333(f258(a875),f333(a107,x60111)),x60112),f333(a107,f333(f333(f258(a1),x60111),x60112)))+~P23(f333(f333(f247(a1),f2(a1)),x60111)) % 183.16/183.17 [6027]P23(f333(f138(x60271),x60272))+P23(f333(f333(f248(a875),f686(x60272,x60271)),f333(f197(f876(x60271)),x60272))) % 183.16/183.17 [6028]P23(f333(f138(x60281),x60282))+P23(f333(f333(f248(a875),f690(x60282,x60281)),f333(f197(f876(x60281)),x60282))) % 183.16/183.17 [6043]~E(x60431,f116(x60432))+~P23(f333(f333(f248(a875),f2(a875)),f333(f197(f876(x60432)),x60431))) % 183.16/183.17 [6057]E(f145(a875,f140(a875,f333(f303(a875,x60571),x60572))),f333(f333(f22(a875),x60572),f77(a875)))+~P23(f333(f333(f248(a875),x60571),x60572)) % 183.16/183.17 [6060]E(f333(f333(f79(a1),x60601),f333(f103(a1),f333(a115,f377(x60602,x60601)))),x60602)+~P23(f333(f333(f248(a1),x60601),x60602)) % 183.16/183.17 [6067]E(x60671,f2(a875))+E(f333(f333(f80(a875),x60672),f333(f333(f258(a875),x60672),f333(f333(f22(a875),x60671),f77(a875)))),f333(f333(f258(a875),x60672),x60671)) % 183.16/183.17 [6093]E(f333(f333(f80(a875),f333(a107,x60931)),f333(a107,x60932)),f333(a107,f333(f333(f80(a1),x60931),x60932)))+~P23(f333(f333(f247(a1),f2(a1)),x60931)) % 183.16/183.17 [6094]E(f333(f333(f38(a875),f333(a107,x60941)),f333(a107,x60942)),f333(a107,f333(f333(f38(a1),x60941),x60942)))+~P23(f333(f333(f247(a1),f2(a1)),x60941)) % 183.16/183.17 [6108]~P109(x61081)+E(f333(f333(f79(x61081),x61082),x61082),f333(f333(f80(x61081),f333(f333(f79(x61081),f77(x61081)),f77(x61081))),x61082)) % 183.16/183.17 [6125]E(f333(f333(f22(a1),f333(f103(a1),x61251)),f333(f103(a1),x61252)),f333(f103(a1),f333(f333(f22(a875),x61251),x61252)))+~P23(f333(f333(f247(a875),x61252),x61251)) % 183.16/183.17 [6127]E(f333(f333(f268(a1,a1),f333(f106(a1),a100)),f333(f333(f79(a1),x61271),x61272)),f49(x61271,x61272))+~P23(f333(f333(f247(a1),x61272),f2(a1))) % 183.16/183.17 [6161]E(f182(x61611,x61612),f116(f876(x61611)))+P23(f333(f333(f335(f876(x61611)),f717(x61612,x61611)),f333(f174(f876(x61611)),x61612))) % 183.16/183.17 [6170]E(f119(a1,f333(f127(a1),x61701),f126(x61702,f333(f333(f79(a1),x61701),f77(a1)))),f126(x61702,x61701))+P23(f333(f333(f248(a1),x61702),x61701)) % 183.16/183.17 [6246]E(f333(f333(f152(a1),x62461),f181(f333(f333(f79(a1),x62461),f77(a1)),x62462)),f181(x62461,x62462))+~P23(f333(f333(f247(a1),x62461),x62462)) % 183.16/183.17 [6283]~P23(f333(f333(f248(a875),x62832),x62831))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f22(a875),x62831),x62832))) % 183.16/183.17 [6314]~P23(f333(f333(f248(a875),x63141),f333(a107,x63142)))+P23(f333(f333(f248(a1),f333(f103(a1),x63141)),x63142)) % 183.16/183.17 [6343]~P106(x63431)+E(f333(f333(f113(f882(x63431,a870)),f333(f254(x63431),x63432)),f333(f333(f311(x63431),x63432),f196(f882(x63431,a870)))),f333(f302(x63431),x63432)) % 183.16/183.17 [6346]~P23(f333(f333(f248(a875),f2(a875)),x63461))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f258(a875),x63461),x63462))) % 183.16/183.17 [6347]~P23(f333(f333(f247(a1),f2(a1)),x63471))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f258(a1),x63471),x63472))) % 183.16/183.17 [6375]~E(f333(x63751,f2(a875)),f2(a875))+E(f333(f333(f6(a875,a875),x63751),f304(a875,f333(a115,f2(a875)),x63752)),f333(f333(f6(a875,a875),x63751),f304(a875,f2(a875),x63752))) % 183.16/183.17 [6438]~P90(x64381)+E(f333(f333(f80(x64381),f333(f333(f79(x64381),f77(x64381)),f77(x64381))),f333(f106(x64381),x64382)),f333(f106(x64381),f333(f333(f79(a1),x64382),x64382))) % 183.16/183.17 [6453]E(f333(f333(f311(a1),x64531),f304(a1,f333(f333(f79(a1),x64531),f77(a1)),x64532)),f304(a1,x64531,x64532))+P23(f333(f333(f248(a1),x64532),x64531)) % 183.16/183.17 [6454]P23(f333(f333(f248(a875),x64541),f333(a107,x64542)))+~P23(f333(f333(f248(a1),f333(f103(a1),x64541)),x64542)) % 183.16/183.17 [6555]E(f333(a107,f333(f333(f38(a1),f333(f106(a1),x65551)),f333(f106(a1),x65552))),f333(f333(f38(a875),f333(f106(a875),x65551)),f333(f106(a875),x65552)))+P23(f333(a201,f333(f106(a1),x65551))) % 183.16/183.17 [6613]P23(f333(f333(f248(a875),x66131),x66132))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f22(a875),x66132),x66131))) % 183.16/183.17 [6657]P23(f333(f333(f248(a875),f2(a875)),x66571))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f80(a875),x66572),x66571))) % 183.16/183.17 [6658]P23(f333(f333(f248(a875),f2(a875)),x66581))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f80(a875),x66581),x66582))) % 183.16/183.17 [6675]~P23(f333(f333(f247(a1),x66751),f2(a1)))+E(f333(f333(f80(a875),f333(a107,f333(f78(a1),x66751))),f333(a107,f333(f78(a1),x66752))),f333(a107,f333(f333(f80(a1),x66751),x66752))) % 183.16/183.17 [6733]~E(x67332,f196(f882(x67331,a870)))+P23(f333(f333(f247(f882(x67331,a870)),x67332),f333(f78(f882(x67331,a870)),x67332))) % 183.16/183.17 [6796]~P90(x67961)+E(f333(f333(f79(x67961),f333(f333(f79(x67961),f2(x67961)),f333(f106(x67961),x67962))),f333(f106(x67961),x67962)),f333(f106(x67961),f333(f333(f79(a1),x67962),x67962))) % 183.16/183.17 [6853]~P23(f333(f333(f248(a1),x68531),x68532))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x68531),f77(a1))),x68532)) % 183.16/183.17 [6920]E(x69201,f2(a875))+~P23(f333(f333(f247(a1),f333(f103(a1),x69202)),f333(f78(a1),f333(f103(a1),x69201)))) % 183.16/183.17 [6921]E(x69211,f2(a875))+~P23(f333(f333(f247(a1),f333(f103(a1),x69211)),f333(f78(a1),f333(f103(a1),x69212)))) % 183.16/183.17 [7026]E(f333(f333(f268(a1,a1),f333(f106(a1),a100)),f333(f333(f79(a1),x70261),x70262)),f49(x70261,x70262))+~P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),x70261),x70262))) % 183.16/183.17 [7068]~P21(x70681,x70682)+P37(x70681,f333(f267(f882(f881(x70681,x70681),a870),f882(f881(x70681,x70681),a870)),x70682)) % 183.16/183.17 [7086]~P23(f333(f333(f247(a875),f333(a115,f2(a875))),x70861))+P23(f333(f333(f247(a875),f333(a115,f2(a875))),f333(f333(f258(a875),x70861),x70862))) % 183.16/183.17 [7249]~P23(f333(f333(f248(a1),x72491),x72492))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x72491),x72491)),f333(f333(f79(a1),x72492),x72492))) % 183.16/183.17 [7261]~P23(f333(f333(f247(a1),x72611),x72612))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x72611),x72611)),f333(f333(f79(a1),x72612),x72612))) % 183.16/183.17 [7262]~P23(f333(f333(f90(a1),x72621),x72622))+P23(f333(f333(f90(a1),f333(f333(f79(a1),x72621),x72621)),f333(f333(f79(a1),x72622),x72622))) % 183.16/183.17 [7317]~P23(f333(f333(f248(a875),f2(a875)),x73171))+P23(f333(f333(f248(a875),f333(f333(f22(a875),x73171),f333(a115,x73172))),x73171)) % 183.16/183.17 [7354]P23(f333(f333(f247(a875),f333(a115,f2(a875))),x73541))+~P23(f333(f333(f247(a875),f333(a115,f2(a875))),f333(f333(f80(a875),x73542),x73541))) % 183.16/183.17 [7355]P23(f333(f333(f247(a875),f333(a115,f2(a875))),x73551))+~P23(f333(f333(f247(a875),f333(a115,f2(a875))),f333(f333(f80(a875),x73551),x73552))) % 183.16/183.17 [7359]P23(f333(f333(f247(a875),f333(f333(f166(a875),x73591),x73592)),f333(f167(a875),x73591)))+~P23(f333(f333(f248(a875),x73592),f333(f197(f876(a875)),x73591))) % 183.16/183.17 [7400]P23(f333(f333(f248(a1),x74001),x74002))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x74001),f77(a1))),x74002)) % 183.16/183.17 [7445]P23(f333(f61(x74451),f256(f882(x74451,a870))))+~P23(f333(f61(f882(x74452,x74451)),f256(f882(f882(x74452,x74451),a870)))) % 183.16/183.17 [7446]P23(f333(f61(x74461),f256(f882(x74461,a870))))+~P23(f333(f61(f880(x74462,x74461)),f256(f882(f880(x74462,x74461),a870)))) % 183.16/183.17 [7447]P23(f333(f61(x74471),f256(f882(x74471,a870))))+~P23(f333(f61(f880(x74471,x74472)),f256(f882(f880(x74471,x74472),a870)))) % 183.16/183.17 [7489]E(x74891,f196(f882(x74892,a870)))+~P23(f333(f333(f247(f882(x74892,a870)),x74891),f333(f78(f882(x74892,a870)),x74891))) % 183.16/183.17 [7626]E(f333(f143(f876(x76261),f876(x76261),f135(x76261),f116(x76261)),x76262),f116(x76261))+P23(f333(f333(f335(f876(x76261)),f729(x76262,x76261)),f333(f174(f876(x76261)),x76262))) % 183.16/183.17 [7627]E(f333(f143(f876(x76271),f876(x76271),f135(x76271),f116(x76271)),x76272),f116(x76271))+P23(f333(f333(f335(f876(x76271)),f730(x76272,x76271)),f333(f174(f876(x76271)),x76272))) % 183.16/183.17 [7870]P23(f333(f333(f248(a1),x78701),x78702))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x78701),x78701)),f333(f333(f79(a1),x78702),x78702))) % 183.16/183.17 [7873]P23(f333(f333(f247(a1),x78731),x78732))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x78731),x78731)),f333(f333(f79(a1),x78732),x78732))) % 183.16/183.17 [7874]P23(f333(f333(f90(a1),x78741),x78742))+~P23(f333(f333(f90(a1),f333(f333(f79(a1),x78741),x78741)),f333(f333(f79(a1),x78742),x78742))) % 183.16/183.17 [7968]~P109(x79681)+E(f333(f333(f80(x79681),f333(f333(f79(x79681),f77(x79681)),f77(x79681))),f333(f333(f6(a875,x79681),f103(x79681)),f304(a875,f77(a875),x79682))),f333(f333(f80(x79681),f333(f103(x79681),x79682)),f333(f333(f79(x79681),f333(f103(x79681),x79682)),f77(x79681)))) % 183.16/183.17 [8025]P23(f333(f333(f335(a875),x80251),x80252))+~P23(f333(f333(f335(a1),f333(f103(a1),x80251)),f333(f312(a875,a1,f103(a1)),x80252))) % 183.16/183.17 [8186]~P23(f333(f61(x81861),x81862))+E(f333(f312(a875,x81861,f491(x81862,x81861)),f333(f253(a875),f333(f333(f7(a875,a875,a870),f248(a875)),f492(x81862,x81861)))),x81862) % 183.16/183.17 [8475]P41(x84751,x84752)+P23(f333(f333(f335(f881(x84751,x84751)),f333(f333(f268(x84751,x84751),f536(x84752,x84751)),f536(x84752,x84751))),x84752)) % 183.16/183.17 [8613]~P90(x86131)+E(f333(f333(f22(x86131),f77(x86131)),f333(f106(x86131),x86132)),f333(f106(x86131),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f78(a1),x86132)))) % 183.16/183.17 [8726]~P23(f333(f333(f248(f882(a875,a870)),x87261),x87262))+P23(f333(f333(f248(f882(a1,a870)),f333(f312(a875,a1,f103(a1)),x87261)),f333(f312(a875,a1,f103(a1)),x87262))) % 183.16/183.17 [8755]~P23(f333(f333(f248(a1),x87551),x87552))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x87551),x87551)),a100)),f333(f333(f79(a1),x87552),x87552))) % 183.16/183.17 [8757]~P23(f333(f333(f248(a1),x87571),x87572))+P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x87571),x87571)),a100)),f333(f333(f79(a1),x87572),x87572))) % 183.16/183.17 [8828]~P23(f333(f333(f335(a875),x88281),f333(f174(a875),x88282)))+P23(f333(f333(f247(a875),x88281),f333(f143(a875,a875,f79(a875),f2(a875)),x88282))) % 183.16/183.17 [8922]P45(x89221,x89222)+~P23(f333(f333(f335(f881(x89221,x89221)),f333(f333(f268(x89221,x89221),f538(x89222,x89221)),f538(x89222,x89221))),x89222)) % 183.16/183.17 [9069]~P23(f333(f333(f248(f882(a1,a870)),f333(f312(a875,a1,f103(a1)),x90691)),f333(f312(a875,a1,f103(a1)),x90692)))+P23(f333(f333(f248(f882(a875,a870)),x90691),x90692)) % 183.16/183.17 [9070]~P23(f333(f333(f247(f882(a1,a870)),f333(f312(a875,a1,f103(a1)),x90701)),f333(f312(a875,a1,f103(a1)),x90702)))+P23(f333(f333(f247(f882(a875,a870)),x90701),x90702)) % 183.16/183.17 [9150]P23(f333(f333(f248(a1),x91501),x91502))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x91501),x91501)),a100)),f333(f333(f79(a1),x91502),x91502))) % 183.16/183.17 [9152]P23(f333(f333(f248(a1),x91521),x91522))+~P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x91521),x91521)),a100)),f333(f333(f79(a1),x91522),x91522))) % 183.16/183.17 [10034]~P101(x100341)+E(f119(f876(x100341),f333(f127(f876(x100341)),f116(x100341)),f333(f333(f333(f99(f877(f876(x100341))),f333(f333(f248(a1),f2(a1)),x100342)),f333(f121(f881(x100341,f876(x100341)),f876(x100341),f132(x100341,f876(x100341),f133(x100341,f333(f333(f22(a1),x100342),f77(a1))),f133(f876(x100341),f333(f333(f22(a1),x100342),f77(a1))))),f333(f272(x100341,f876(x100341),f877(f876(x100341))),f333(f333(f8(f882(f876(x100341),f876(x100341)),f882(f876(x100341),f877(f876(x100341))),x100341),f333(f8(f876(x100341),f877(f876(x100341)),f876(x100341)),f127(f876(x100341)))),f152(x100341))))),f118(f876(x100341)))),f133(f876(x100341),x100342)) % 183.16/183.17 [10056]~P23(f333(f61(x100561),x100562))+E(f333(f197(f876(x100561)),f89(f876(x100561),f333(f333(f18(f876(x100561),a870,a870),f333(f333(f8(a870,f882(a870,a870),f876(x100561)),a331),f333(f333(f7(f876(x100561),f882(x100561,a870),a870),f333(f333(f8(f882(x100561,a870),f882(f882(x100561,a870),a870),f876(x100561)),a330),f174(x100561))),x100562))),f138(x100561)))),f226(x100561,x100562)) % 183.16/183.17 [10192]~P19(a872,x101921,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),a330),x101922),f202(x101922))),f196(f882(f874(a872),a870))))+P19(a872,x101921,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),f333(f333(f8(f882(a872,f882(a872,a870)),f882(a872,a870),a872),f333(f8(f882(a872,a870),a870,a872),f87(a872))),f333(f333(f8(f882(a872,a870),f882(a872,f882(a872,a870)),a872),f333(f7(a872,f882(a872,a870),f882(a872,a870)),f333(f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),a872),f18(a872,a870,a870)),f333(f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),a872),f333(f8(a870,f882(a870,a870),a872),a336)),f202(x101922))))),a330))),x101922),a330)),f196(f882(f874(a872),a870)))) % 183.16/183.17 [6056]E(f333(f333(f79(a875),f333(f333(f22(a875),x60561),x60562)),x60562),x60561)+~P23(f333(f333(f247(a875),x60562),x60561)) % 183.16/183.17 [6121]E(f333(f333(f38(a875),f333(f333(f80(a875),x61211),x61212)),x61212),x61211)+~P23(f333(f333(f248(a875),f2(a875)),x61212)) % 183.16/183.17 [6122]E(f333(f333(f38(a875),f333(f333(f80(a875),x61221),x61222)),x61221),x61222)+~P23(f333(f333(f248(a875),f2(a875)),x61221)) % 183.16/183.17 [6126]~P66(x61261)+E(f333(f333(f6(a875,x61261),f333(f166(x61261),x61262)),f333(f303(a875,f2(a875)),f333(f197(f876(x61261)),x61262))),f333(f167(x61261),x61262)) % 183.16/183.17 [6238]E(f44(a875,f333(a115,f333(f333(f80(a875),x62381),x62382)),x62381),f77(a875))+~P23(f333(f333(f248(a875),f77(a875)),x62381)) % 183.16/183.17 [6244]E(f333(a115,f333(f333(f79(a875),f333(f106(a875),x62441)),x62442)),f333(f333(f79(a875),f77(a875)),x62442))+~P23(f333(a201,f333(f106(a1),x62441))) % 183.16/183.17 [6272]E(f333(a107,f333(f333(f258(a1),f333(f106(a1),x62721)),x62722)),f333(f333(f258(a875),f333(f106(a875),x62721)),x62722))+P23(f333(a201,f333(f106(a1),x62721))) % 183.16/183.17 [6507]E(f333(f333(f22(a875),x65071),f333(f106(a875),f333(f333(f79(a1),x65072),a100))),f333(f333(f22(a875),f333(a115,x65071)),f333(f106(a875),x65072)))+~P23(f333(f333(f248(a1),a82),x65072)) % 183.16/183.17 [6586]E(x65861,f2(a875))+E(f333(a115,f333(f333(f79(a875),f333(f333(f22(a875),x65861),f77(a875))),x65862)),f333(f333(f79(a875),x65861),x65862)) % 183.16/183.18 [6627]E(x66271,f2(a1))+P23(f333(f333(f248(a1),f2(a1)),f333(f333(f258(a1),f333(f74(a1),x66271)),x66272))) % 183.16/183.18 [6642]~E(x66422,f2(a875))+P23(f333(f333(f248(a1),f2(a1)),f333(f333(f258(a1),f333(f74(a1),x66421)),x66422))) % 183.16/183.18 [6679]E(x66791,f2(a875))+E(f333(f333(f79(a875),x66792),f333(f333(f80(a875),f333(f333(f22(a875),x66791),f77(a875))),x66792)),f333(f333(f80(a875),x66791),x66792)) % 183.16/183.18 [6727]~P23(f333(f333(f247(a1),x67271),x67272))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x67271),a100)),x67272)) % 183.16/183.18 [6856]E(f333(f333(f152(a875),x68561),f140(a875,f333(f303(a875,f333(a115,x68561)),x68562))),f140(a875,f333(f303(a875,x68561),x68562)))+~P23(f333(f333(f248(a875),x68561),x68562)) % 183.16/183.18 [7059]E(x70591,x70592)+~E(f333(f333(f22(a1),f333(f333(f79(a1),x70591),x70591)),a100),f333(f333(f22(a1),f333(f333(f79(a1),x70592),x70592)),a100)) % 183.16/183.18 [7062]E(x70621,f116(x70622))+E(f277(x70622,f333(f333(f155(x70622,f881(a102,x70622)),f333(f268(a102,x70622),f77(a102))),x70621)),f284(x70622,x70621)) % 183.16/183.18 [7286]P23(f333(f333(f247(a1),x72861),x72862))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x72861),a100)),x72862)) % 183.16/183.18 [7773]~P23(f333(f333(f248(a875),x77731),x77732))+P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x77731),x77732)),a252)) % 183.16/183.18 [7997]~P23(f333(f333(f248(a102),f2(a102)),x79971))+P23(f333(f333(f248(a102),f333(f267(a102,f881(a102,a102)),f333(f278(x79971),x79972))),x79971)) % 183.16/183.18 [8314]~P83(x83141)+P23(f333(f333(f247(x83141),f333(f74(x83141),f333(f167(x83141),x83142))),f333(f167(x83141),f333(f333(f155(x83141,x83141),f74(x83141)),x83142)))) % 183.16/183.18 [8338]P23(f333(f333(f248(a875),x83381),x83382))+~P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),x83381),x83382)),a252)) % 183.16/183.18 [8498]E(f333(f333(f268(x84981,x84981),f632(x84982,x84981)),f632(x84982,x84981)),x84982)+~P23(f333(f333(f335(f881(x84981,x84981)),x84982),f309(x84981,f196(f882(f881(x84981,x84981),a870))))) % 183.16/183.18 [8539]E(f333(f303(a875,x85391),f333(f333(f79(a875),x85391),f333(f37(a875),x85392))),x85392)+~P23(f333(f333(f247(f882(a875,a870)),x85392),f333(f303(a875,x85391),f333(f333(f79(a875),x85391),f333(f37(a875),x85392))))) % 183.16/183.18 [8867]E(f333(f333(f38(a1),f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x88671),x88671)),a100))),f333(f106(a1),f333(f333(f79(a1),x88672),x88672))),f333(f333(f38(a1),f333(f106(a1),x88671)),f333(f106(a1),x88672)))+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x88672))) % 183.16/183.18 [8997]E(f179(f876(x89971),f333(f333(f8(a870,a870,f876(x89971)),a328),f333(f333(f7(f876(x89971),f876(x89971),a870),a330),f116(x89971))),x89972),f182(x89971,f182(x89971,x89972)))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x89971),a875),f197(f876(x89971))),x89972))) % 183.16/183.18 [9000]E(f333(f333(f38(a1),f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90001),x90001)),a100))),f333(f106(a1),f333(f333(f79(a1),x90002),x90002))),f333(f333(f38(a1),f333(f333(f79(a1),f333(f106(a1),x90001)),f77(a1))),f333(f106(a1),x90002)))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x90002))) % 183.16/183.18 [9831]P23(f333(a201,x98312))+E(f333(f333(f85(a1,a875),f333(f333(f22(a1),x98311),x98312)),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f2(a875))),a107)),f333(f333(f22(a875),f333(a107,x98311)),f333(a107,x98312))) % 183.16/183.18 [9839]E(f333(f333(f85(a1,a875),f333(f106(a1),f333(f333(f79(a1),x98391),f333(f78(a1),x98392)))),f333(f333(f18(a1,a875,a875),f333(f333(f7(a1,a875,f882(a875,a875)),f333(f333(f8(a870,f882(a875,f882(a875,a875)),a1),f99(a875)),a201)),f2(a875))),a107)),f333(f333(f22(a875),f333(f106(a875),x98391)),f333(f106(a875),x98392)))+P23(f333(f333(f248(a1),x98392),a82)) % 183.16/183.18 [9840]~P21(x98401,x98402)+P23(f333(f333(f247(f882(f881(x98401,x98401),a870)),f333(f333(f290(x98401,x98401,x98401),f333(f267(f882(f881(x98401,x98401),a870),f882(f881(x98401,x98401),a870)),x98402)),f333(f271(f882(f881(x98401,x98401),a870),f882(f881(x98401,x98401),a870)),x98402))),f333(f267(f882(f881(x98401,x98401),a870),f882(f881(x98401,x98401),a870)),x98402))) % 183.16/183.18 [9906]~E(f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,f882(a875,a870),a870),f335(a875)),x99061))),f333(f333(f7(a875,a875,a870),f248(a875)),f333(a115,x99062))))),f2(a875))+~P23(f333(f333(f335(a875),f2(a875)),x99061)) % 183.16/183.18 [9962]E(f44(a1,f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x99621),x99621)),a100)),f333(f106(a1),f333(f333(f79(a1),x99622),x99622))),f333(f333(f79(a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a1,f333(f106(a1),x99621),f333(f106(a1),x99622)))),f77(a1)))+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x99622))) % 183.16/183.18 [9971]E(f44(a1,f333(f106(a1),f333(f333(f22(a1),f333(f333(f79(a1),x99711),x99711)),a100)),f333(f106(a1),f333(f333(f79(a1),x99712),x99712))),f333(f333(f22(a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a1,f333(f333(f79(a1),f333(f106(a1),x99711)),f77(a1)),f333(f106(a1),x99712)))),f77(a1)))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x99712))) % 183.16/183.18 [10023]~P26(x100231)+E(f39(x100231,f333(f253(x100231),f333(f333(f8(f882(x100231,a870),a870,x100231),f87(x100231)),f333(f333(f8(f882(x100231,a870),f882(x100231,a870),x100231),f333(f18(x100231,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100231),a336),f333(f333(f7(x100231,f882(x100231,a870),a870),f335(x100231)),x100232)))),f247(x100231))))),f40(x100231,x100232)) % 183.16/183.18 [10049]~P37(x100491,x100492)+P54(x100491,f333(f333(f7(x100491,f882(f881(x100491,x100491),a870),f882(x100491,a870)),f333(f333(f8(f882(x100491,f882(f882(f881(x100491,x100491),a870),a870)),f882(f882(f881(x100491,x100491),a870),f882(x100491,a870)),x100491),f7(x100491,f882(f881(x100491,x100491),a870),a870)),f333(f333(f8(f882(x100491,f881(x100491,x100491)),f882(x100491,f882(f882(f881(x100491,x100491),a870),a870)),x100491),f333(f8(f881(x100491,x100491),f882(f882(f881(x100491,x100491),a870),a870),x100491),f335(f881(x100491,x100491)))),f268(x100491,x100491)))),x100492)) % 183.16/183.18 [10050]~P3(x100501,f256(f882(x100501,a870)),x100502)+P2(x100501,f333(f333(f7(x100501,f882(f881(x100501,x100501),a870),f882(x100501,a870)),f333(f333(f8(f882(x100501,f882(f882(f881(x100501,x100501),a870),a870)),f882(f882(f881(x100501,x100501),a870),f882(x100501,a870)),x100501),f7(x100501,f882(f881(x100501,x100501),a870),a870)),f333(f333(f8(f882(x100501,f881(x100501,x100501)),f882(x100501,f882(f882(f881(x100501,x100501),a870),a870)),x100501),f333(f8(f881(x100501,x100501),f882(f882(f881(x100501,x100501),a870),a870),x100501),f335(f881(x100501,x100501)))),f268(x100501,x100501)))),x100502)) % 183.16/183.18 [10087]P37(x100871,x100872)+~P54(x100871,f333(f333(f7(x100871,f882(f881(x100871,x100871),a870),f882(x100871,a870)),f333(f333(f8(f882(x100871,f882(f882(f881(x100871,x100871),a870),a870)),f882(f882(f881(x100871,x100871),a870),f882(x100871,a870)),x100871),f7(x100871,f882(f881(x100871,x100871),a870),a870)),f333(f333(f8(f882(x100871,f881(x100871,x100871)),f882(x100871,f882(f882(f881(x100871,x100871),a870),a870)),x100871),f333(f8(f881(x100871,x100871),f882(f882(f881(x100871,x100871),a870),a870),x100871),f335(f881(x100871,x100871)))),f268(x100871,x100871)))),x100872)) % 183.16/183.18 [10088]P3(x100881,f256(f882(x100881,a870)),x100882)+~P2(x100881,f333(f333(f7(x100881,f882(f881(x100881,x100881),a870),f882(x100881,a870)),f333(f333(f8(f882(x100881,f882(f882(f881(x100881,x100881),a870),a870)),f882(f882(f881(x100881,x100881),a870),f882(x100881,a870)),x100881),f7(x100881,f882(f881(x100881,x100881),a870),a870)),f333(f333(f8(f882(x100881,f881(x100881,x100881)),f882(x100881,f882(f882(f881(x100881,x100881),a870),a870)),x100881),f333(f8(f881(x100881,x100881),f882(f882(f881(x100881,x100881),a870),a870),x100881),f335(f881(x100881,x100881)))),f268(x100881,x100881)))),x100882)) % 183.16/183.18 [7237]E(f333(f333(f79(a875),f333(f106(a875),f333(f333(f22(a1),x72371),a100))),x72372),f333(a115,f333(f333(f79(a875),f333(f106(a875),x72371)),x72372)))+P23(f333(a201,f333(f106(a1),x72371))) % 183.16/183.18 [7686]~P90(x76861)+E(f333(f333(f79(x76861),f333(f333(f79(x76861),f77(x76861)),f333(f106(x76861),x76862))),f333(f106(x76861),x76862)),f333(f106(x76861),f333(f333(f22(a1),f333(f333(f79(a1),x76862),x76862)),a100))) % 183.16/183.18 [8340]~P23(f333(f333(f247(a1),x83401),x83402))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x83401),x83401)),f333(f333(f22(a1),f333(f333(f79(a1),x83402),x83402)),a100))) % 183.16/183.18 [8342]~P23(f333(f333(f247(a1),x83421),x83422))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x83421),x83421)),f333(f333(f22(a1),f333(f333(f79(a1),x83422),x83422)),a100))) % 183.16/183.18 [8759]P23(f333(f333(f247(a1),x87591),x87592))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),x87591),x87591)),f333(f333(f22(a1),f333(f333(f79(a1),x87592),x87592)),a100))) % 183.16/183.18 [8761]P23(f333(f333(f247(a1),x87611),x87612))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x87611),x87611)),f333(f333(f22(a1),f333(f333(f79(a1),x87612),x87612)),a100))) % 183.16/183.18 [9057]~P23(f333(f333(f248(a1),x90571),x90572))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90571),x90571)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x90572),x90572)),a100))) % 183.16/183.18 [9059]~P23(f333(f333(f247(a1),x90591),x90592))+P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90591),x90591)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x90592),x90592)),a100))) % 183.16/183.18 [9060]~P23(f333(f333(f90(a1),x90601),x90602))+P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x90601),x90601)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x90602),x90602)),a100))) % 183.16/183.18 [9323]P23(f333(f333(f248(a1),x93231),x93232))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),x93231),x93231)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x93232),x93232)),a100))) % 183.16/183.18 [9325]P23(f333(f333(f247(a1),x93251),x93252))+~P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),x93251),x93251)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x93252),x93252)),a100))) % 183.16/183.18 [9326]P23(f333(f333(f90(a1),x93261),x93262))+~P23(f333(f333(f90(a1),f333(f333(f22(a1),f333(f333(f79(a1),x93261),x93261)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),x93262),x93262)),a100))) % 183.16/183.18 [9358]~P23(f333(f61(x93581),x93582))+P23(f333(f61(f882(x93581,a870)),f333(f253(f882(x93581,a870)),f333(f333(f7(f882(x93581,a870),f882(x93581,a870),a870),f247(f882(x93581,a870))),x93582)))) % 183.16/183.18 [9406]~E(f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),x94061),f196(f882(f881(a875,a875),a870)))),f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),x94062),f196(f882(f881(a875,a875),a870)))))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x94061),x94062)),a111)) % 183.16/183.18 [9490]E(f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),x94901),f196(f882(f881(a875,a875),a870)))),f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),x94902),f196(f882(f881(a875,a875),a870)))))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x94901),x94902)),a111)) % 183.16/183.18 [9526]P23(f333(f333(f247(a1),f2(a1)),f657(x95261,x95262)))+E(f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95261)),f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95262))) % 183.16/183.18 [10033]~P26(x100331)+E(f40(x100331,f333(f253(x100331),f333(f333(f8(f882(x100331,a870),a870,x100331),f87(x100331)),f333(f333(f8(f882(x100331,a870),f882(x100331,a870),x100331),f333(f18(x100331,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100331),a336),f333(f333(f7(x100331,f882(x100331,a870),a870),f335(x100331)),x100332)))),f333(f7(x100331,x100331,a870),f247(x100331)))))),f39(x100331,x100332)) % 183.16/183.18 [10055]P23(f333(f333(f335(a875),f2(a875)),x100551))+E(f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),a875),f335(a875)),a115)),x100551))),f333(f333(f7(a875,a875,a870),f248(a875)),x100552)))),f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,f882(a875,a870),a870),f335(a875)),x100551))),f333(f333(f7(a875,a875,a870),f248(a875)),f333(a115,x100552)))))) % 183.16/183.18 [7554]~P90(x75541)+E(f333(f333(f80(x75541),x75542),f333(f106(x75541),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),x75542) % 183.16/183.18 [7821]~P90(x78211)+E(f333(f333(f79(x78211),f333(f106(x78211),x78212)),f77(x78211)),f333(f106(x78211),f333(f333(f79(a1),x78212),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))) % 183.16/183.18 [7966]P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x79662)))+E(f333(f333(f258(a1),x79661),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x79662),x79662)),a100))),f77(a1)) % 183.16/183.18 [9384]~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x93842)))+E(f333(f333(f258(a1),x93841),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x93842),x93842)),a100))),f333(f333(f85(a1,a1),f333(f333(f258(a1),x93841),f333(f106(a875),x93842))),f333(f333(f18(a1,a1,a1),f333(f333(f8(a1,f882(a1,a1),a1),f80(a1)),f333(f80(a1),x93841))),f5(a1)))) % 183.16/183.18 [9746]~P23(f333(f333(f247(a875),f669(x97462,x97461)),f333(x97461,f669(x97462,x97461))))+P23(f333(f61(a875),f333(f253(a875),f333(f333(f7(a875,a875,a870),f333(f333(f8(a875,f882(a875,a870),a875),f247(a875)),x97461)),x97462)))) % 183.16/183.18 [9896]~P23(f333(f333(f248(a875),f333(f106(a875),x98961)),f333(a115,x98962)))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x98961),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),f248(a875)),a107)),x98962)))) % 183.16/183.18 [9897]~P23(f333(f333(f247(a875),f333(f106(a875),x98971)),f333(a115,x98972)))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x98971),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),f247(a875)),a107)),x98972)))) % 183.16/183.18 [9946]P23(f333(f333(f248(a875),f333(f106(a875),x99461)),f333(a115,x99462)))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x99461),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),f248(a875)),a107)),x99462)))) % 183.16/183.18 [9947]P23(f333(f333(f247(a875),f333(f106(a875),x99471)),f333(a115,x99472)))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x99471),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),f247(a875)),a107)),x99472)))) % 183.16/183.18 [9977]~P23(f333(f333(f248(a875),f333(a115,x99772)),f333(f106(a875),x99771)))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x99771),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f8(a875,a870,a1),f333(f248(a875),x99772)),a107))))) % 183.16/183.18 [9978]~P23(f333(f333(f247(a875),f333(a115,x99782)),f333(f106(a875),x99781)))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x99781),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f8(a875,a870,a1),f333(f247(a875),x99782)),a107))))) % 183.16/183.18 [10021]P23(f333(f333(f248(a875),f333(a115,x100211)),f333(f106(a875),x100212)))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100212),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f8(a875,a870,a1),f333(f248(a875),x100211)),a107))))) % 183.16/183.18 [10022]P23(f333(f333(f247(a875),f333(a115,x100221)),f333(f106(a875),x100222)))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100222),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f8(a875,a870,a1),f333(f247(a875),x100221)),a107))))) % 183.16/183.18 [10095]~P23(f333(f333(f335(a875),f2(a875)),x100951))+E(f333(a115,f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,f882(a875,a870),a870),f333(f333(f8(a875,f882(f882(a875,a870),a870),a875),f335(a875)),a115)),x100951))),f333(f333(f7(a875,a875,a870),f248(a875)),x100952))))),f333(f37(a875),f333(f253(a875),f333(f333(f18(a875,a870,a870),f333(f333(f8(a870,f882(a870,a870),a875),a331),f333(f333(f7(a875,f882(a875,a870),a870),f335(a875)),x100951))),f333(f333(f7(a875,a875,a870),f248(a875)),f333(a115,x100952)))))) % 183.16/183.18 [8523]~P90(x85231)+E(f333(f333(f80(x85231),f333(f106(x85231),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),x85232),x85232) % 183.16/183.18 [8581]~P90(x85811)+E(f333(f333(f79(x85811),f77(x85811)),f333(f106(x85811),x85812)),f333(f106(x85811),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),x85812))) % 183.16/183.18 [8639]~P90(x86391)+E(f333(f333(f22(x86391),f333(f106(x86391),x86392)),f77(x86391)),f333(f106(x86391),f333(f333(f79(a1),x86392),f333(f78(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [8777]~P23(f333(f333(f248(a875),f333(f106(a875),a82)),x87772))+E(f333(f333(f22(a875),x87771),f333(f333(f22(a875),x87772),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f22(a875),f333(a115,x87771)),x87772)) % 183.16/183.18 [9422]~P109(x94221)+E(f333(f333(f80(x94221),x94222),x94222),f333(f333(f258(x94221),x94222),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9423]~P77(x94231)+E(f333(f333(f258(x94231),x94232),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f80(x94231),x94232),x94232)) % 183.16/183.18 [9425]~P90(x94251)+E(f333(f333(f80(x94251),x94252),f333(f106(x94251),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f79(x94251),x94252),x94252)) % 183.16/183.18 [9665]~P114(x96651)+E(f333(f333(f258(x96651),f333(f74(x96651),x96652)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f258(x96651),x96652),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9666]~P138(x96661)+E(f333(f333(f258(x96661),f333(f78(x96661),x96662)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f258(x96661),x96662),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9662]~P90(x96621)+E(f333(f333(f80(x96621),f333(f106(x96621),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x96622),f333(f333(f79(x96621),x96622),x96622)) % 183.16/183.18 [9786]~P114(x97861)+E(f333(f74(x97861),f333(f333(f258(x97861),x97862),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x97861),x97862),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9848]~P114(x98481)+P23(f333(f333(f247(x98481),f2(x98481)),f333(f333(f258(x98481),x98482),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.18 [10012]~E(f333(a115,x100122),f333(f106(a875),x100121))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100121),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),a330),a107)),x100122))))) % 183.16/183.18 [10013]~E(f333(f106(a875),x100131),f333(a115,x100132))+P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100131),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),a330),a107)),x100132))))) % 183.16/183.18 [10058]E(f333(a115,x100581),f333(f106(a875),x100582))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100582),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),a330),a107)),x100581))))) % 183.16/183.18 [10059]E(f333(f106(a875),x100591),f333(a115,x100592))+~P23(f333(f333(f85(a1,a870),f333(f106(a1),f333(f333(f79(a1),x100591),a100))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a336),f333(f333(f8(a870,a870,a1),a328),a201))),f333(f333(f7(a1,a875,a870),f333(f333(f8(a875,f882(a875,a870),a1),a330),a107)),x100592))))) % 183.16/183.18 [9845]~P90(x98451)+E(f333(f333(f258(x98451),f333(f106(x98451),a100)),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x98452)),f77(x98451)) % 183.16/183.18 [9846]~P138(x98461)+E(f333(f333(f258(x98461),f333(f78(x98461),f77(x98461))),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x98462)),f77(x98461)) % 183.16/183.18 [9850]~P77(x98501)+E(f333(f333(f258(x98501),x98502),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),a100))),f333(f333(f80(x98501),f333(f333(f80(x98501),x98502),x98502)),x98502)) % 183.16/183.18 [10037]~P23(f333(f333(f247(a1),f2(a1)),x100372))+E(f44(a1,f333(f333(f79(a1),f77(a1)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100371)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100372)),f333(f333(f79(a1),f77(a1)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a1,x100371,x100372)))) % 183.16/183.18 [10061]~P23(f333(f333(f247(a1),f2(a1)),x100612))+E(f333(f333(f38(a1),f333(f333(f79(a1),f77(a1)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100611))),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100612)),f333(f333(f38(a1),x100611),x100612)) % 183.16/183.18 [10063]~P23(f333(f333(f247(a1),x100632),f2(a1)))+E(f333(f333(f38(a1),f333(f333(f79(a1),f77(a1)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100631))),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100632)),f333(f333(f38(a1),f333(f333(f79(a1),x100631),f77(a1))),x100632)) % 183.16/183.18 [10064]~P23(f333(f333(f247(a1),x100642),f2(a1)))+E(f44(a1,f333(f333(f79(a1),f77(a1)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100641)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100642)),f333(f333(f22(a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f44(a1,f333(f333(f79(a1),x100641),f77(a1)),x100642))),f77(a1))) % 183.16/183.18 [9937]~P90(x99371)+E(f333(f333(f258(x99371),f333(f106(x99371),a100)),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99372))),f333(f106(x99371),a100)) % 183.16/183.18 [9939]~P138(x99391)+E(f333(f333(f258(x99391),f333(f78(x99391),f77(x99391))),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99392))),f333(f78(x99391),f77(x99391))) % 183.16/183.18 [5111]~P19(x51111,x51112,x51113)+P22(x51111,x51112,x51113) % 183.16/183.18 [8040]~E(x80402,x80403)+P34(x80401,x80401,a330,x80402,x80403) % 183.16/183.18 [8594]E(x85941,x85942)+~P34(x85943,x85943,a330,x85941,x85942) % 183.16/183.18 [4758]E(f171(x47581,x47582,x47583),f116(x47581))+~E(x47582,f2(a875)) % 183.16/183.18 [4923]~E(f171(x49232,x49231,x49233),f116(x49232))+E(x49231,f2(a875)) % 183.16/183.18 [5116]~P37(x51161,x51163)+P37(x51161,f327(x51161,x51162,x51163)) % 183.16/183.18 [5281]P29(x52811,x52812,x52813)+~P29(x52811,f333(a115,x52812),x52813) % 183.16/183.18 [5368]~P3(x53681,x53682,x53683)+P3(f876(x53681),f162(x53681,x53682),f159(x53681,x53683)) % 183.16/183.18 [5369]~P39(x53691,x53692,x53693)+P39(f876(x53691),f162(x53691,x53692),f159(x53691,x53693)) % 183.16/183.18 [5481]P49(x54811,x54812,x54813)+~E(f613(x54813,x54812,x54811),f614(x54813,x54812,x54811)) % 183.16/183.18 [5482]P50(x54821,x54822,x54823)+~E(f627(x54823,x54822,x54821),f628(x54823,x54822,x54821)) % 183.16/183.18 [6413]P22(x64131,x64132,x64133)+~P29(x64131,f600(x64133,x64132,x64131),f607(x64133,x64132,x64131)) % 183.16/183.18 [4664]~E(x46641,f209(x46642))+~E(x46641,f333(f240(x46642),x46643)) % 183.16/183.18 [4714]~E(f333(f170(x47142),x47141),x47143)+E(x47141,f333(f170(x47142),x47143)) % 183.16/183.18 [4715]~E(x47152,f333(f170(x47151),x47153))+E(f333(f170(x47151),x47152),x47153) % 183.16/183.18 [4764]E(x47641,x47642)+~E(f333(f240(x47643),x47641),f333(f240(x47643),x47642)) % 183.16/183.18 [4765]E(x47651,x47652)+~E(f333(f170(x47653),x47651),f333(f170(x47653),x47652)) % 183.16/183.18 [4970]~P2(x49703,x49701)+P23(f333(f333(x49701,x49702),x49702)) % 183.16/183.18 [4971]~P48(x49713,x49711)+P23(f333(f333(x49711,x49712),x49712)) % 183.16/183.18 [4973]~P54(x49731,x49732)+P23(f333(f321(x49731,x49732),x49733)) % 183.16/183.18 [5035]~P37(x50351,x50352)+P37(f876(x50351),f333(f144(x50351,x50352),x50353)) % 183.16/183.18 [5040]~P23(f333(x50402,x50403))+~E(f333(f253(x50401),x50402),f196(f882(x50401,a870))) % 183.16/183.18 [5041]~P23(f333(x50412,x50413))+~E(f196(f882(x50411,a870)),f333(f253(x50411),x50412)) % 183.16/183.18 [5053]E(x50531,f2(a875))+E(f145(x50532,f171(x50532,x50531,x50533)),x50533) % 183.16/183.18 [5071]~P23(f333(x50711,x50713))+P23(f333(x50711,f89(x50712,x50711))) % 183.16/183.18 [5083]E(x50831,f2(a875))+E(f333(f142(x50832),f171(x50832,x50831,x50833)),x50833) % 183.16/183.18 [5189]~E(x51892,x51893)+P23(f333(f333(f335(x51891),x51892),f333(a330,x51893))) % 183.16/183.18 [5201]P23(f333(x52011,x52012))+~P23(f333(x52011,f575(x52011,x52013))) % 183.16/183.18 [5202]~E(x52022,f2(a875))+E(f333(f174(x52021),f171(x52021,x52022,x52023)),f196(f882(x52021,a870))) % 183.16/183.18 [5247]E(f333(f170(x52471),x52472),f333(f333(f152(x52471),x52473),f116(x52471)))+~E(x52472,f333(f333(f152(x52471),x52473),f116(x52471))) % 183.16/183.18 [5248]~E(x52483,f333(f333(f152(x52481),x52482),f116(x52481)))+E(f333(f333(f152(x52481),x52482),f116(x52481)),f333(f170(x52481),x52483)) % 183.16/183.18 [5274]~E(x52743,f333(f16(f879(x52742),x52741),f209(x52742)))+E(f186(x52741,x52742,x52743),f196(f882(x52741,a870))) % 183.16/183.18 [5296]~P33(x52961,x52962,x52963)+P33(x52961,x52962,f333(f170(x52961),x52963)) % 183.16/183.18 [5297]~P31(x52971,x52972,x52973)+P31(x52971,x52972,f333(f170(x52971),x52973)) % 183.16/183.18 [5300]E(f333(f37(x53001),f342(x53002,x53003,x53001)),x53002)+~E(f333(f37(x53001),x53003),f333(a115,x53002)) % 183.16/183.18 [5306]~P37(x53061,x53063)+P23(f333(f333(f335(x53061),x53062),f322(x53061,x53063))) % 183.16/183.18 [5310]~E(f333(f170(x53102),x53101),f333(f333(f152(x53102),x53103),f116(x53102)))+E(x53101,f333(f333(f152(x53102),x53103),f116(x53102))) % 183.16/183.18 [5311]~E(f333(f333(f152(x53112),x53113),f116(x53112)),f333(f170(x53112),x53111))+E(x53111,f333(f333(f152(x53112),x53113),f116(x53112))) % 183.16/183.18 [5326]E(x53261,f333(f16(f879(x53262),x53263),f209(x53262)))+~E(f186(x53263,x53262,x53261),f196(f882(x53263,a870))) % 183.16/183.18 [5332]E(f84(f881(a875,a875),f47(x53321,x53322)),x53323)+~P23(f333(f47(x53321,x53322),x53323)) % 183.16/183.18 [5340]~E(x53403,f333(f240(x53401),x53402))+P23(f333(f333(f335(x53401),x53402),f239(x53401,x53403))) % 183.16/183.18 [5372]P33(x53721,x53722,x53723)+~P33(x53721,x53722,f333(f170(x53721),x53723)) % 183.16/183.18 [5373]P31(x53731,x53732,x53733)+~P31(x53731,x53732,f333(f170(x53731),x53733)) % 183.16/183.18 [5435]~E(x54352,f116(x54351))+P23(f333(f333(f335(f876(x54351)),x54352),f162(x54351,x54353))) % 183.16/183.18 [5442]~P39(x54421,x54422,x54423)+P39(x54421,x54422,f333(f288(x54421,x54421),x54423)) % 183.16/183.18 [5443]~P50(x54431,x54432,x54433)+P50(x54431,x54432,f333(f288(x54431,x54431),x54433)) % 183.16/183.18 [5462]~P55(x54621)+E(f44(x54621,f44(x54621,x54622,x54623),x54623),f44(x54621,x54622,x54623)) % 183.16/183.18 [5559]E(x55591,x55592)+~P23(f333(f333(f335(x55593),x55591),f333(a330,x55592))) % 183.16/183.18 [5605]~P141(x56051)+E(f198(x56051,x56052,f2(a875),x56053),x56053) % 183.16/183.18 [5625]P39(x56251,x56252,x56253)+~P39(x56251,x56252,f333(f288(x56251,x56251),x56253)) % 183.16/183.18 [5626]P50(x56261,x56262,x56263)+~P50(x56261,x56262,f333(f288(x56261,x56261),x56263)) % 183.16/183.18 [5630]~P106(x56302)+E(f151(x56301,x56302,x56303,f116(x56301)),f116(x56301)) % 183.16/183.18 [5643]E(f172(x56431,x56432,f153(x56431,x56433)),f153(x56431,f172(x56431,x56432,x56433)))+~P23(f333(f138(x56431),x56433)) % 183.16/183.18 [5649]E(x56491,f333(f240(x56492),x56493))+~P23(f333(f333(f335(x56492),x56493),f239(x56492,x56491))) % 183.16/183.18 [5744]E(f333(f137(x57441,x57442),x57443),f116(x57441))+P23(f333(x57442,f727(x57443,x57442,x57441))) % 183.16/183.18 [5887]~P23(f333(f138(x58871),x58872))+P23(f333(f138(x58871),f178(x58871,x58872,x58873))) % 183.16/183.18 [5888]~P23(f333(f138(x58881),x58883))+P23(f333(f138(x58881),f172(x58881,x58882,x58883))) % 183.16/183.18 [5889]~P23(f333(f138(x58891),x58893))+P23(f333(f138(x58891),f179(x58891,x58892,x58893))) % 183.16/183.18 [5890]~P23(f333(f138(x58901),x58903))+P23(f333(f138(x58901),f141(x58901,x58902,x58903))) % 183.16/183.18 [5891]~P143(x58911,x58913,x58912)+P23(f333(x58911,f44(a1,x58912,x58913))) % 183.16/183.18 [5908]~P33(x59083,x59081,x59082)+P23(f333(x59081,f777(x59082,x59081,x59083))) % 183.16/183.18 [5909]~P35(x59093,x59091,x59092)+P23(f333(x59091,f806(x59092,x59091,x59093))) % 183.16/183.18 [5931]E(f333(f137(x59311,x59312),x59313),f179(x59311,x59312,x59313))+P23(f333(x59312,f756(x59313,x59312,x59311))) % 183.16/183.18 [5973]~P23(f333(f138(x59731),x59733))+P23(f333(f138(f876(x59731)),f54(x59731,x59732,x59733))) % 183.16/183.18 [6006]~P108(x60061)+E(f333(f333(f104(f882(x60061,a870)),f333(f254(x60061),x60062)),f304(x60061,x60062,x60063)),f196(f882(x60061,a870))) % 183.16/183.18 [6007]~P108(x60071)+E(f333(f333(f104(f882(x60071,a870)),f333(f302(x60071),x60072)),f307(x60071,x60072,x60073)),f196(f882(x60071,a870))) % 183.16/183.18 [6008]~P108(x60081)+E(f333(f333(f104(f882(x60081,a870)),f333(f302(x60081),x60082)),f306(x60081,x60082,x60083)),f196(f882(x60081,a870))) % 183.16/183.18 [6234]E(f333(f137(x62341,x62342),x62343),x62343)+~P23(f333(x62342,f728(x62343,x62342,x62341))) % 183.16/183.18 [6236]E(f333(f333(f311(x62361),f366(x62362,x62363,x62361)),f342(x62362,x62363,x62361)),x62363)+~E(f333(f37(x62361),x62363),f333(a115,x62362)) % 183.16/183.18 [6252]P143(x62521,x62522,x62523)+~P23(f333(x62521,f44(a1,x62523,x62522))) % 183.16/183.18 [6299]P31(x62991,x62992,x62993)+~P23(f333(x62992,f794(x62993,x62992,x62991))) % 183.16/183.18 [6300]P31(x63001,x63002,x63003)+~P23(f333(x63002,f800(x63002,x63003,x63001))) % 183.16/183.18 [6301]P31(x63011,x63012,x63013)+~P23(f333(x63012,f801(x63013,x63012,x63011))) % 183.16/183.18 [6303]E(f179(x63031,x63032,x63033),x63033)+~P23(f333(x63032,f752(x63033,x63032,x63031))) % 183.16/183.18 [6382]~P23(f333(x63822,f595(x63823,x63822,x63821)))+P23(f333(f261(x63821,x63822),x63823)) % 183.16/183.18 [6383]~P23(f333(x63832,f720(x63833,x63832,x63831)))+P23(f333(f161(x63831,x63832),x63833)) % 183.16/183.18 [6628]~P23(f333(f321(x66281,x66282),f525(x66283,x66282,x66281)))+P23(f333(f321(x66281,x66282),x66283)) % 183.16/183.18 [6629]~P23(f333(f321(x66291,x66292),f549(x66293,x66292,x66291)))+P23(f333(f321(x66291,x66292),x66293)) % 183.16/183.18 [7238]~P55(x72381)+E(f333(f333(f79(x72381),f333(f333(f80(x72381),x72382),f333(f333(f38(x72381),x72383),x72382))),f44(x72381,x72383,x72382)),x72383) % 183.16/183.18 [7710]E(f333(f333(f268(x77101,x77101),f553(x77102,x77103,x77101)),f553(x77102,x77103,x77101)),x77103)+~P23(f333(f333(f335(f881(x77101,x77101)),x77103),f265(x77101,x77102))) % 183.16/183.18 [7829]~P23(f333(f333(f335(x78291),f557(x78293,x78292,x78291)),f322(x78291,x78293)))+P23(f333(f333(f335(x78291),x78292),f322(x78291,x78293))) % 183.16/183.18 [7830]~P23(f333(f333(f335(x78301),f617(x78303,x78302,x78301)),f322(x78301,x78303)))+P23(f333(f333(f335(x78301),x78302),f322(x78301,x78303))) % 183.16/183.18 [7831]~P23(f333(f333(f335(x78311),f619(x78313,x78312,x78311)),f322(x78311,x78313)))+P23(f333(f333(f335(x78311),x78312),f322(x78311,x78313))) % 183.16/183.18 [8021]~P55(x80211)+E(f333(f333(f79(x80211),f333(f333(f80(x80211),f333(f333(f38(x80211),x80212),x80213)),x80213)),f44(x80211,x80212,x80213)),x80212) % 183.16/183.18 [8066]~E(f333(f37(x80661),x80662),f333(a115,x80663))+~P23(f333(f333(f335(x80661),f366(x80663,x80662,x80661)),f342(x80663,x80662,x80661))) % 183.16/183.18 [8689]P23(f333(f333(f247(f882(f881(x86891,x86891),a870)),f309(x86891,x86892)),f309(x86891,x86893)))+~P23(f333(f333(f247(f882(f881(x86891,x86891),a870)),x86892),f309(x86891,x86893))) % 183.16/183.18 [8966]E(x89661,f116(x89662))+~P23(f333(f333(f335(f881(f876(x89662),f876(x89662))),f333(f333(f268(f876(x89662),f876(x89662)),x89661),f116(x89662))),f159(x89662,x89663))) % 183.16/183.18 [8991]E(x89911,f116(x89912))+~P23(f333(f333(f335(f881(f876(x89912),f876(x89912))),f333(f333(f268(f876(x89912),f876(x89912)),f116(x89912)),x89911)),f159(x89912,x89913))) % 183.16/183.18 [9114]E(f333(f333(f152(x91141),f707(x91142,x91143,x91141)),f708(x91142,x91143,x91141)),x91143)+~P23(f333(f333(f335(f881(f876(x91141),f876(x91141))),f333(f333(f268(f876(x91141),f876(x91141)),f116(x91141)),x91143)),f148(x91141,x91142))) % 183.16/183.18 [9351]~P121(x93511)+~P23(f333(f333(f248(x93511),f333(f333(f79(x93511),f333(f333(f80(x93511),x93512),x93512)),f333(f333(f80(x93511),x93513),x93513))),f2(x93511))) % 183.16/183.18 [9401]P23(f333(f61(x94011),x94012))+~P23(f333(f333(f335(f881(f882(x94011,a870),f882(x94011,a870))),f333(f333(f268(f882(x94011,a870),f882(x94011,a870)),x94013),x94012)),f308(x94011))) % 183.16/183.18 [9687]~P46(x96871,x96872,x96873)+P23(f333(f333(f248(a1),f333(f333(f72(f881(a1,a1),a1,x96871,f267(a1,a1)),f224(x96871)),f235(x96871,x96872,f232(x96871,x96873)))),f2(a1))) % 183.16/183.18 [9688]~P47(x96881,x96882,x96883)+P23(f333(f333(f247(a1),f333(f333(f72(f881(a1,a1),a1,x96881,f267(a1,a1)),f224(x96881)),f235(x96881,x96882,f232(x96881,x96883)))),f2(a1))) % 183.16/183.18 [9815]P46(x98151,x98152,x98153)+~P23(f333(f333(f248(a1),f333(f333(f72(f881(a1,a1),a1,x98151,f267(a1,a1)),f224(x98151)),f235(x98151,x98152,f232(x98151,x98153)))),f2(a1))) % 183.16/183.18 [9816]P47(x98161,x98162,x98163)+~P23(f333(f333(f247(a1),f333(f333(f72(f881(a1,a1),a1,x98161,f267(a1,a1)),f224(x98161)),f235(x98161,x98162,f232(x98161,x98163)))),f2(a1))) % 183.16/183.18 [10138]~P114(x101381)+~P23(f333(f333(f248(x101381),f333(f333(f79(x101381),f333(f333(f258(x101381),x101382),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101381),x101383),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f2(x101381))) % 183.16/183.18 [4745]~E(x47453,f116(x47451))+E(f333(f333(f135(x47451),x47452),x47453),x47452) % 183.16/183.18 [4746]~E(x47462,f116(x47461))+E(f333(f333(f135(x47461),x47462),x47463),x47463) % 183.16/183.18 [4753]~E(x47532,f2(a875))+E(f333(f333(f177(x47531),x47532),x47533),f116(x47531)) % 183.16/183.18 [4759]~E(x47593,f116(x47591))+E(f333(f333(f177(x47591),x47592),x47593),f116(x47591)) % 183.16/183.18 [4799]~E(x47991,x47993)+E(x47991,f333(f333(f135(x47992),f116(x47992)),x47993)) % 183.16/183.18 [4886]~P24(x48862)+E(f333(f196(f882(x48861,x48862)),x48863),f196(x48862)) % 183.16/183.18 [4887]~P104(x48872)+E(f333(f256(f882(x48871,x48872)),x48873),f256(x48872)) % 183.16/183.18 [4905]E(x49051,f116(x49052))+~E(f333(f333(f135(x49052),x49053),x49051),x49053) % 183.16/183.18 [4906]E(x49061,f116(x49062))+~E(f333(f333(f135(x49062),x49061),x49063),x49063) % 183.16/183.18 [4914]E(x49141,f116(x49142))+~E(f333(f333(f135(x49142),x49143),x49141),f116(x49142)) % 183.16/183.18 [4915]E(x49151,f116(x49152))+~E(f333(f333(f135(x49152),x49151),x49153),f116(x49152)) % 183.16/183.18 [4940]~E(x49402,f2(a875))+E(f333(f333(f80(a875),x49401),x49402),f333(f333(f80(a875),x49403),x49402)) % 183.16/183.18 [4942]~E(x49421,f2(a875))+E(f333(f333(f80(a875),x49421),x49422),f333(f333(f80(a875),x49421),x49423)) % 183.16/183.18 [4995]~P62(x49951)+E(f333(f333(f113(x49951),x49952),x49953),f333(f333(f113(x49951),x49953),x49952)) % 183.16/183.18 [4997]~P98(x49971)+E(f333(f333(f113(x49971),x49972),x49973),f333(f333(f113(x49971),x49973),x49972)) % 183.16/183.18 [4998]~P62(x49981)+E(f333(f333(f104(x49981),x49982),x49983),f333(f333(f104(x49981),x49983),x49982)) % 183.16/183.18 [5000]~P99(x50001)+E(f333(f333(f104(x50001),x50002),x50003),f333(f333(f104(x50001),x50003),x50002)) % 183.16/183.18 [5001]~P109(x50011)+E(f333(f333(f79(x50011),x50012),x50013),f333(f333(f79(x50011),x50013),x50012)) % 183.16/183.18 [5002]~P109(x50021)+E(f333(f333(f80(x50021),x50022),x50023),f333(f333(f80(x50021),x50023),x50022)) % 183.16/183.18 [5004]~P106(x50041)+E(f333(f333(f245(x50041),x50042),x50043),f333(f333(f245(x50041),x50043),x50042)) % 183.16/183.18 [5006]~P106(x50061)+E(f333(f333(f246(x50061),x50062),x50063),f333(f333(f246(x50061),x50063),x50062)) % 183.16/183.18 [5066]E(f44(a875,x50661,x50662),f2(a875))+~E(x50661,f333(f333(f80(a875),x50662),x50663)) % 183.16/183.18 [5067]E(f44(a1,x50671,x50672),f2(a1))+~E(x50671,f333(f333(f80(a1),x50672),x50673)) % 183.16/183.18 [5128]E(x51281,x51282)+~E(f333(f333(f79(a875),x51283),x51281),f333(f333(f79(a875),x51283),x51282)) % 183.16/183.18 [5129]E(x51291,x51292)+~E(f333(f333(f79(a875),x51291),x51293),f333(f333(f79(a875),x51292),x51293)) % 183.16/183.18 [5139]~P93(x51391)+E(f333(f333(f104(x51391),x51392),f333(f78(x51391),x51393)),f333(f333(f22(x51391),x51392),x51393)) % 183.16/183.18 [5140]~P65(x51401)+E(f333(f333(f79(x51401),x51402),f333(f78(x51401),x51403)),f333(f333(f22(x51401),x51402),x51403)) % 183.16/183.18 [5141]~P72(x51411)+E(f333(f333(f79(x51411),x51412),f333(f78(x51411),x51413)),f333(f333(f22(x51411),x51412),x51413)) % 183.16/183.18 [5142]~P113(x51421)+E(f333(f333(f79(x51421),x51422),f333(f78(x51421),x51423)),f333(f333(f22(x51421),x51422),x51423)) % 183.16/183.18 [5143]~P72(x51431)+E(f333(f333(f22(x51431),x51432),f333(f78(x51431),x51433)),f333(f333(f79(x51431),x51432),x51433)) % 183.16/183.18 [5182]~P23(f333(x51823,x51822))+P23(f333(f333(f335(x51821),x51822),x51823)) % 183.16/183.18 [5184]~P66(x51842)+E(f333(f333(f6(x51841,x51842),x51843),f196(f882(x51841,a870))),f2(x51842)) % 183.16/183.18 [5186]~P73(x51862)+E(f333(f333(f9(x51861,x51862),x51863),f196(f882(x51861,a870))),f77(x51862)) % 183.16/183.18 [5235]~E(x52352,f333(f333(f79(a875),x52351),x52353))+P23(f333(f333(f247(a875),x52351),x52352)) % 183.16/183.18 [5238]~E(x52382,f196(f882(x52381,a870)))+E(f333(f333(f60(x52381),x52382),x52383),f196(f882(f882(x52381,a870),a870))) % 183.16/183.18 [5239]~E(x52392,f196(f882(x52391,a870)))+E(f196(f882(f882(x52391,a870),a870)),f333(f333(f60(x52391),x52392),x52393)) % 183.16/183.18 [5315]~E(f333(f264(x53152,x53153),x53151),f196(f882(x53153,a870)))+E(x53151,f196(f882(f881(x53152,x53153),a870))) % 183.16/183.18 [5316]~E(f333(f266(x53162,x53163),x53161),f196(f882(x53162,a870)))+E(x53161,f196(f882(f881(x53162,x53163),a870))) % 183.16/183.18 [5346]E(f333(f264(x53461,x53462),x53463),f196(f882(x53462,a870)))+~E(x53463,f196(f882(f881(x53461,x53462),a870))) % 183.16/183.18 [5347]E(f333(f266(x53471,x53472),x53473),f196(f882(x53471,a870)))+~E(x53473,f196(f882(f881(x53471,x53472),a870))) % 183.16/183.18 [5350]E(f283(x53501,x53502,x53503),f333(f333(f22(a102),x53502),x53503))+P23(f333(f333(f248(a102),x53502),x53503)) % 183.16/183.18 [5366]P23(f333(x53661,x53662))+~P23(f333(f333(f335(x53663),x53662),x53661)) % 183.16/183.18 [5405]E(x54051,x54052)+~E(f333(f78(f882(x54053,a870)),x54051),f333(f78(f882(x54053,a870)),x54052)) % 183.16/183.18 [5410]E(f315(x54101,x54102,x54103),f209(f876(a329)))+~P23(f333(f333(f248(a1),x54102),x54103)) % 183.16/183.18 [5415]~E(x54151,f196(f882(x54152,a870)))+~P23(f333(f333(f335(x54152),x54153),x54151)) % 183.16/183.18 [5444]~E(x54442,f333(f333(f79(a1),x54441),f333(f103(a1),x54443)))+P23(f333(f333(f247(a1),x54441),x54442)) % 183.16/183.18 [5460]E(f333(f333(f311(x54601),x54602),x54603),x54603)+~P23(f333(f333(f335(x54601),x54602),x54603)) % 183.16/183.18 [5471]E(x54711,f196(f882(x54712,a870)))+~E(f333(f333(f60(x54712),x54711),x54713),f196(f882(f882(x54712,a870),a870))) % 183.16/183.18 [5472]E(x54721,f196(f882(x54722,a870)))+~E(f196(f882(f882(x54722,a870),a870)),f333(f333(f60(x54722),x54721),x54723)) % 183.16/183.18 [5479]~P103(x54791)+E(f333(f333(f80(x54791),f333(f78(x54791),x54792)),f333(f78(x54791),x54793)),f333(f333(f80(x54791),x54792),x54793)) % 183.16/183.18 [5480]~P58(x54801)+E(f333(f333(f291(x54801),f333(f78(x54801),x54802)),f333(f78(x54801),x54803)),f333(f333(f291(x54801),x54802),x54803)) % 183.16/183.18 [5512]~P23(f333(x55123,x55122))+P23(f333(f333(f335(x55121),x55122),f333(f253(x55121),x55123))) % 183.16/183.18 [5533]E(x55331,f2(a875))+E(f333(f174(x55332),f171(x55332,x55331,x55333)),f333(f333(f311(x55332),x55333),f196(f882(x55332,a870)))) % 183.16/183.18 [5552]E(f172(x55521,x55522,x55523),x55523)+P23(f333(f333(f335(x55521),x55522),f333(f174(x55521),x55523))) % 183.16/183.18 [5634]~P23(f333(f138(x56341),x56343))+P23(f333(f138(x56341),f333(f137(x56341,x56342),x56343))) % 183.16/183.18 [5679]~P55(x56791)+E(f333(f333(f38(x56791),f44(x56791,x56792,x56793)),x56793),f2(x56791)) % 183.16/183.18 [5698]E(f178(x56981,f333(f333(f152(x56981),x56982),f116(x56981)),x56983),f116(x56981))+P23(f333(f333(f335(a875),f2(a875)),x56983)) % 183.16/183.18 [5704]E(x57041,f2(a875))+E(f333(f173(x57042),f171(x57042,x57041,x57043)),f171(x57042,f333(f333(f22(a875),x57041),f77(a875)),x57043)) % 183.16/183.18 [5754]E(f333(f333(f152(x57541),x57542),x57543),f141(x57541,x57542,x57543))+P23(f333(f333(f335(x57541),x57542),f333(f174(x57541),x57543))) % 183.16/183.18 [5763]E(x57631,x57632)+~E(f333(f333(f80(a875),f333(a115,x57633)),x57631),f333(f333(f80(a875),f333(a115,x57633)),x57632)) % 183.16/183.18 [5764]~E(x57642,f333(f333(f79(a1),x57641),f333(f103(a1),f333(a115,x57643))))+P23(f333(f333(f248(a1),x57641),x57642)) % 183.16/183.18 [5869]~E(x58693,f116(x58691))+E(f333(f333(f333(f191(f876(x58691),f876(x58691)),x58692),f169(x58691)),x58693),f116(x58691)) % 183.16/183.18 [5873]P23(f333(x58731,x58732))+~P23(f333(f333(f335(x58733),x58732),f333(f253(x58733),x58731))) % 183.16/183.18 [5903]E(x59031,x59032)+~E(f333(f333(f311(x59033),x59031),f196(f882(x59033,a870))),f333(f333(f311(x59033),x59032),f196(f882(x59033,a870)))) % 183.16/183.18 [5914]~P108(x59141)+E(f333(f333(f104(f882(x59141,a870)),f333(f254(x59141),x59142)),f333(f303(x59141,x59142),x59143)),f196(f882(x59141,a870))) % 183.16/183.18 [5957]E(f141(x59571,x59572,x59573),x59573)+~P23(f333(f333(f335(x59571),x59572),f333(f174(x59571),x59573))) % 183.16/183.18 [5981]~P82(x59811)+E(f333(f312(x59811,x59811,f78(x59811)),f333(f303(x59811,x59812),x59813)),f306(x59811,f333(f78(x59811),x59813),f333(f78(x59811),x59812))) % 183.16/183.18 [5990]E(f333(f197(f876(x59901)),f172(x59901,x59902,x59903)),f333(f197(f876(x59901)),x59903))+P23(f333(f333(f335(x59901),x59902),f333(f174(x59901),x59903))) % 183.16/183.18 [6042]~P108(x60421)+E(f333(f333(f104(f882(x60421,a870)),f333(f303(x60421,x60422),x60423)),f333(f255(x60421),x60423)),f196(f882(x60421,a870))) % 183.16/183.18 [6065]~P82(x60651)+E(f333(f312(x60651,x60651,f78(x60651)),f307(x60651,x60652,x60653)),f307(x60651,f333(f78(x60651),x60653),f333(f78(x60651),x60652))) % 183.16/183.18 [6066]~P82(x60661)+E(f333(f312(x60661,x60661,f78(x60661)),f304(x60661,x60662,x60663)),f304(x60661,f333(f78(x60661),x60663),f333(f78(x60661),x60662))) % 183.16/183.18 [6123]E(f178(x61231,f333(f333(f152(x61231),x61232),f116(x61231)),x61233),f333(f333(f152(x61231),x61232),f116(x61231)))+~P23(f333(f333(f335(a875),f2(a875)),x61233)) % 183.16/183.18 [6130]~P82(x61301)+E(f333(f312(x61301,x61301,f78(x61301)),f306(x61301,x61302,x61303)),f333(f303(x61301,f333(f78(x61301),x61303)),f333(f78(x61301),x61302))) % 183.16/183.18 [6150]~P56(x61501)+E(f44(x61501,f333(f78(x61501),f44(x61501,x61502,x61503)),x61503),f44(x61501,f333(f78(x61501),x61502),x61503)) % 183.16/183.18 [6249]~P23(f333(f61(f881(x62492,x62491)),x62493))+P23(f333(f61(x62491),f333(f264(x62492,x62491),x62493))) % 183.16/183.18 [6250]~P23(f333(f61(f881(x62501,x62502)),x62503))+P23(f333(f61(x62501),f333(f266(x62501,x62502),x62503))) % 183.16/183.18 [6256]~P108(x62561)+E(f333(f333(f104(f882(x62561,a870)),f307(x62561,x62562,x62563)),f333(f255(x62561),x62563)),f196(f882(x62561,a870))) % 183.16/183.18 [6257]~P108(x62571)+E(f333(f333(f104(f882(x62571,a870)),f306(x62571,x62572,x62573)),f333(f305(x62571),x62573)),f196(f882(x62571,a870))) % 183.16/183.18 [6258]~P108(x62581)+E(f333(f333(f104(f882(x62581,a870)),f304(x62581,x62582,x62583)),f333(f305(x62581),x62583)),f196(f882(x62581,a870))) % 183.16/183.18 [6324]E(f333(f333(f166(x63241),x63242),f653(x63242,x63243,x63241)),x63243)+~P23(f333(f333(f335(x63241),x63243),f333(f174(x63241),x63242))) % 183.16/183.18 [6463]E(x64631,f116(x64632))+~E(f333(f333(f333(f191(f876(x64632),f876(x64632)),x64633),f169(x64632)),x64631),f116(x64632)) % 183.16/183.18 [6565]~P23(f333(f61(f881(x65652,x65651)),x65653))+P23(f333(f61(f881(x65651,x65652)),f333(f288(x65652,x65651),x65653))) % 183.16/183.18 [6716]P50(x67161,x67162,x67163)+P23(f333(f333(f335(x67161),f628(x67163,x67162,x67161)),x67162)) % 183.16/183.18 [6717]P50(x67171,x67172,x67173)+P23(f333(f333(f335(x67171),f627(x67173,x67172,x67171)),x67172)) % 183.16/183.18 [6729]P23(f333(f321(x67291,x67292),x67293))+P23(f333(f333(x67292,f525(x67293,x67292,x67291)),x67293)) % 183.16/183.18 [6730]P23(f333(f321(x67301,x67302),x67303))+P23(f333(f333(x67302,f549(x67303,x67302,x67301)),x67303)) % 183.16/183.18 [6761]E(f333(f197(f876(x67611)),f172(x67611,x67612,x67613)),f333(f333(f22(a875),f333(f197(f876(x67611)),x67613)),f77(a875)))+~P23(f333(f333(f335(x67611),x67612),f333(f174(x67611),x67613))) % 183.16/183.18 [6801]P23(f333(f261(x68011,x68012),x68013))+P23(f333(f333(f335(x68011),f595(x68013,x68012,x68011)),x68013)) % 183.16/183.18 [6812]~P23(f333(f61(f881(x68122,x68121)),f333(f288(x68121,x68122),x68123)))+P23(f333(f61(f881(x68121,x68122)),x68123)) % 183.16/183.18 [6868]~P23(f333(f333(f335(x68681),x68682),f333(f174(x68681),f117(x68681,x68683))))+P23(f333(f333(f335(x68681),x68682),f333(f174(x68681),x68683))) % 183.16/183.18 [6873]P22(x68731,x68732,x68733)+P23(f333(f333(f335(f874(x68731)),f607(x68733,x68732,x68731)),x68733)) % 183.16/183.18 [6903]E(f333(f137(x69031,x69032),x69033),x69033)+P23(f333(f333(f335(x69031),f728(x69033,x69032,x69031)),f333(f174(x69031),x69033))) % 183.16/183.18 [6918]E(f333(f137(x69181,x69182),x69183),f116(x69181))+P23(f333(f333(f335(x69181),f727(x69183,x69182,x69181)),f333(f174(x69181),x69183))) % 183.16/183.18 [6941]P31(x69411,x69412,x69413)+P23(f333(f333(f335(x69411),f794(x69413,x69412,x69411)),f333(f174(x69411),x69413))) % 183.16/183.18 [6942]P31(x69421,x69422,x69423)+P23(f333(f333(f335(x69421),f801(x69423,x69422,x69421)),f333(f174(x69421),x69423))) % 183.16/183.18 [6943]P31(x69431,x69432,x69433)+P23(f333(f333(f335(x69431),f800(x69432,x69433,x69431)),f333(f174(x69431),x69433))) % 183.16/183.18 [6946]E(f179(x69461,x69462,x69463),x69463)+P23(f333(f333(f335(x69461),f752(x69463,x69462,x69461)),f333(f174(x69461),x69463))) % 183.16/183.18 [7027]P23(f333(f161(x70271,x70272),x70273))+P23(f333(f333(f335(x70271),f720(x70273,x70272,x70271)),f333(f174(x70271),x70273))) % 183.16/183.18 [7036]~P33(x70361,x70363,x70362)+P23(f333(f333(f335(x70361),f777(x70362,x70363,x70361)),f333(f174(x70361),x70362))) % 183.16/183.18 [7037]~P35(x70371,x70373,x70372)+P23(f333(f333(f335(x70371),f806(x70372,x70373,x70371)),f333(f174(x70371),x70372))) % 183.16/183.18 [7072]P23(f333(f333(f335(x70721),x70722),f655(x70723,x70722,x70721)))+~P23(f333(f333(f335(x70721),x70722),f39(f882(x70721,a870),x70723))) % 183.16/183.18 [7073]~P66(x70731)+E(f333(f333(f79(x70731),f333(f333(f6(a875,x70731),x70732),f333(f254(a875),x70733))),f333(x70732,x70733)),f333(f333(f6(a875,x70731),x70732),f333(f254(a875),f333(a115,x70733)))) % 183.16/183.18 [7162]~P33(x71622,x71621,x71623)+P23(f333(x71621,f333(f333(f166(x71622),x71623),f790(x71623,x71621,x71622)))) % 183.16/183.18 [7175]~P23(f333(f333(f335(x71751),x71752),f831(x71752,x71753,x71751)))+P23(f333(f333(f335(x71751),x71752),f40(f882(x71751,a870),x71753))) % 183.16/183.18 [7205]~P66(x72051)+E(f333(f333(f79(x72051),f333(f333(f6(a875,x72051),x72052),f333(f302(a875),x72053))),f333(x72052,f333(a115,x72053))),f333(f333(f6(a875,x72051),x72052),f333(f302(a875),f333(a115,x72053)))) % 183.16/183.18 [7340]P23(f333(f333(f335(f876(x73401)),x73402),f162(x73401,x73403)))+P23(f333(f333(f335(x73401),f678(x73403,x73402,x73401)),f333(f174(x73401),x73402))) % 183.16/183.18 [7357]~P23(f333(f333(f335(f876(x73571)),x73572),f162(x73571,f322(x73571,x73573))))+P23(f333(f333(f335(f876(x73571)),x73572),f322(f876(x73571),f158(x73571,x73573)))) % 183.16/183.18 [7382]~P23(f333(f333(f335(f876(x73821)),x73822),f322(f876(x73821),f158(x73821,x73823))))+P23(f333(f333(f335(f876(x73821)),x73822),f162(x73821,f322(x73821,x73823)))) % 183.16/183.18 [7418]E(f333(f333(f333(f191(f876(x74181),f876(x74181)),x74182),f169(x74181)),x74183),x74183)+~P23(f333(f333(f247(a875),f333(f197(f876(x74181)),x74183)),f77(a875))) % 183.16/183.18 [7454]E(f333(f333(f135(x74541),f796(x74542,x74543,x74541)),f333(f333(f152(x74541),x74543),f797(x74542,x74543,x74541))),x74542)+~P23(f333(f333(f335(x74541),x74543),f333(f174(x74541),x74542))) % 183.16/183.18 [7455]E(f333(f333(f135(x74551),f791(x74552,x74553,x74551)),f333(f333(f152(x74551),x74553),f792(x74552,x74553,x74551))),x74552)+~P23(f333(f333(f335(x74551),x74553),f333(f174(x74551),x74552))) % 183.16/183.18 [7456]E(f333(f333(f135(x74561),f798(x74562,x74563,x74561)),f333(f333(f152(x74561),x74563),f799(x74562,x74563,x74561))),x74562)+~P23(f333(f333(f335(x74561),x74563),f333(f174(x74561),x74562))) % 183.16/183.18 [7480]~P20(x74801,x74802,x74803,f256(f882(x74801,a870)))+P20(f876(x74801),f876(x74802),f333(f155(x74801,x74802),x74803),f256(f882(f876(x74801),a870))) % 183.16/183.18 [7629]E(x76291,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x76292)),x76293)),f333(f271(a875,a875),x76292)))+~P23(f333(f47(x76291,x76293),x76292)) % 183.16/183.18 [7637]P20(x76371,x76372,x76373,f256(f882(x76371,a870)))+~P20(f876(x76371),f876(x76372),f333(f155(x76371,x76372),x76373),f256(f882(f876(x76371),a870))) % 183.16/183.18 [7676]~P23(f333(f333(f202(x76761),x76762),x76763))+P23(f333(f333(f333(f333(a204,x76761),x76762),f470(x76763,x76762,x76761)),x76763)) % 183.16/183.18 [7681]P23(f333(f333(f335(f882(x76811,a870)),f831(x76812,x76813,x76811)),x76813))+P23(f333(f333(f335(x76811),x76812),f40(f882(x76811,a870),x76813))) % 183.16/183.18 [7777]P23(f333(f333(f335(f876(x77771)),x77772),f162(x77771,x77773)))+~P23(f333(f333(f335(x77771),f678(x77773,x77772,x77771)),x77773)) % 183.16/183.18 [7878]P31(x78781,x78782,x78783)+~P23(f333(x78782,f333(f333(f166(x78781),x78783),f795(x78783,x78782,x78781)))) % 183.16/183.18 [7903]E(x79031,x79032)+~E(f333(f333(f7(x79033,f882(x79033,a870),a870),f335(x79033)),x79031),f333(f333(f7(x79033,f882(x79033,a870),a870),f335(x79033)),x79032)) % 183.16/183.18 [7909]~P23(f333(f333(f335(f881(x79091,x79091)),x79093),f265(x79091,x79092)))+P23(f333(f333(f335(x79091),f553(x79092,x79093,x79091)),x79092)) % 183.16/183.18 [7911]~P23(f333(f333(f335(x79111),x79113),f39(f882(x79111,a870),x79112)))+P23(f333(f333(f335(f882(x79111,a870)),f655(x79112,x79113,x79111)),x79112)) % 183.16/183.18 [8094]~P23(f333(f333(f335(x80941),x80942),f333(f174(x80941),f791(x80943,x80942,x80941))))+~P23(f333(f333(f335(x80941),x80942),f333(f174(x80941),x80943))) % 183.16/183.18 [8095]~P23(f333(f333(f335(x80951),x80952),f333(f174(x80951),f799(x80953,x80952,x80951))))+~P23(f333(f333(f335(x80951),x80952),f333(f174(x80951),x80953))) % 183.16/183.18 [8185]E(f333(f242(f879(f876(a329)),f876(a329),f315(x81851,x81852,f333(f333(f79(a1),x81853),f77(a1))),f240(f876(a329))),f333(x81851,x81853)),f315(x81851,x81852,x81853))+P23(f333(f333(f248(a1),x81852),x81853)) % 183.16/183.18 [8287]E(x82871,f116(x82872))+P23(f333(f333(f335(x82872),f333(f267(x82872,f881(a102,a102)),f333(f284(x82872,x82871),x82873))),f333(f174(x82872),x82871))) % 183.16/183.18 [8383]~P68(x83831)+E(f333(f143(x83831,x83831,f333(f7(x83831,x83831,x83831),f79(x83831)),x83832),f333(f170(x83831),x83833)),f333(f143(x83831,x83831,f79(x83831),x83832),x83833)) % 183.16/183.18 [8873]~P106(x88731)+E(f333(f174(x88731),f150(x88731,x88731,f5(x88731),x88732,x88733)),f333(f333(f311(x88731),x88732),f333(f174(x88731),x88733))) % 183.16/183.18 [8884]P23(f333(f333(f248(a875),f2(a875)),f635(x88841,x88842,x88843)))+~P23(f333(f333(f335(f881(x88843,x88843)),x88842),f333(f333(f290(x88843,x88843,x88843),x88841),f309(x88843,x88841)))) % 183.16/183.18 [9174]~P52(x91741,x91742)+~P23(f333(f333(f335(f881(x91741,x91741)),f333(f333(f268(x91741,x91741),x91743),x91743)),f333(f333(f290(x91741,x91741,x91741),x91742),f309(x91741,x91742)))) % 183.16/183.18 [9306]~E(f333(f333(f104(f882(f881(x93061,x93061),a870)),f333(f288(x93061,x93061),x93062)),f309(x93061,x93062)),f196(f882(f881(x93061,x93061),a870)))+~P23(f333(f333(f335(f881(x93061,x93061)),f333(f333(f268(x93061,x93061),x93063),x93063)),f333(f333(f290(x93061,x93061,x93061),x93062),f309(x93061,x93062)))) % 183.16/183.18 [9485]~P23(f333(f61(x94851),x94852))+P23(f333(f333(f247(a875),f333(f37(x94851),f333(f333(f22(f882(x94851,a870)),x94852),f333(f333(f311(x94851),x94853),f196(f882(x94851,a870)))))),f333(f37(x94851),x94852))) % 183.16/183.18 [5055]~E(x50553,f116(x50551))+E(f145(x50551,f333(f333(f152(x50551),x50552),x50553)),x50552) % 183.16/183.18 [5063]~E(x50633,f116(x50631))+E(f117(x50631,f333(f333(f152(x50631),x50632),x50633)),f116(x50631)) % 183.16/183.18 [5092]E(x50921,f116(x50922))+E(f145(x50922,f333(f333(f152(x50922),x50923),x50921)),f145(x50922,x50921)) % 183.16/183.18 [5094]E(x50941,f116(x50942))+E(f145(x50942,f333(f333(f135(x50942),x50943),x50941)),f145(x50942,x50941)) % 183.16/183.18 [5099]~E(x50993,f116(x50991))+E(f117(x50991,f333(f333(f135(x50991),x50992),x50993)),f117(x50991,x50992)) % 183.16/183.18 [5101]~E(x51013,f116(x51011))+E(f145(x51011,f333(f333(f135(x51011),x51012),x51013)),f145(x51011,x51012)) % 183.16/183.18 [5133]E(x51331,f116(x51332))+E(f333(f142(x51332),f333(f333(f135(x51332),x51331),x51333)),f333(f142(x51332),x51331)) % 183.16/183.18 [5162]~E(x51622,f116(x51621))+E(f333(f142(x51621),f333(f333(f135(x51621),x51622),x51623)),f333(f142(x51621),x51623)) % 183.16/183.18 [5212]~P62(x52121)+E(f333(f333(f113(x52121),x52122),f333(f333(f104(x52121),x52122),x52123)),x52122) % 183.16/183.18 [5213]~P62(x52131)+E(f333(f333(f104(x52131),x52132),f333(f333(f113(x52131),x52132),x52133)),x52132) % 183.16/183.18 [5214]~P106(x52141)+E(f333(f333(f245(x52141),x52142),f333(f333(f246(x52141),x52142),x52143)),x52142) % 183.16/183.18 [5215]~P106(x52151)+E(f333(f333(f246(x52151),x52152),f333(f333(f245(x52151),x52152),x52153)),x52152) % 183.16/183.18 [5233]~P55(x52331)+E(f44(x52331,f333(f333(f80(x52331),x52332),x52333),x52333),f2(x52331)) % 183.16/183.18 [5234]~P55(x52341)+E(f44(x52341,f333(f333(f80(x52341),x52342),x52343),x52342),f2(x52341)) % 183.16/183.18 [5309]~P65(x53091)+E(f333(f78(x53091),f333(f333(f22(x53091),x53092),x53093)),f333(f333(f22(x53091),x53093),x53092)) % 183.16/183.18 [5370]E(x53701,f116(x53702))+E(f117(x53702,f333(f333(f152(x53702),x53703),x53701)),f333(f333(f152(x53702),x53703),f117(x53702,x53701))) % 183.16/183.18 [5371]E(x53711,f116(x53712))+E(f117(x53712,f333(f333(f135(x53712),x53713),x53711)),f333(f333(f135(x53712),x53713),f117(x53712,x53711))) % 183.16/183.18 [5374]~P26(x53741)+E(f40(x53741,f333(f333(f311(x53741),x53742),x53743)),f333(f333(f104(x53741),x53742),f40(x53741,x53743))) % 183.16/183.18 [5375]~P26(x53751)+E(f39(x53751,f333(f333(f311(x53751),x53752),x53753)),f333(f333(f113(x53751),x53752),f39(x53751,x53753))) % 183.16/183.18 [5420]~P62(x54201)+E(f333(f333(f113(x54201),x54202),f333(f333(f113(x54201),x54202),x54203)),f333(f333(f113(x54201),x54202),x54203)) % 183.16/183.18 [5422]~P98(x54221)+E(f333(f333(f113(x54221),x54222),f333(f333(f113(x54221),x54222),x54223)),f333(f333(f113(x54221),x54222),x54223)) % 183.16/183.18 [5423]~P62(x54231)+E(f333(f333(f104(x54231),x54232),f333(f333(f104(x54231),x54232),x54233)),f333(f333(f104(x54231),x54232),x54233)) % 183.16/183.18 [5425]~P99(x54251)+E(f333(f333(f104(x54251),x54252),f333(f333(f104(x54251),x54252),x54253)),f333(f333(f104(x54251),x54252),x54253)) % 183.16/183.18 [5426]~P94(x54261)+E(f333(f333(f80(x54261),x54262),f333(f333(f80(x54261),x54262),x54263)),f333(f333(f80(x54261),x54262),x54263)) % 183.16/183.18 [5428]~P106(x54281)+E(f333(f333(f245(x54281),x54282),f333(f333(f245(x54281),x54282),x54283)),f333(f333(f245(x54281),x54282),x54283)) % 183.16/183.18 [5430]~P106(x54301)+E(f333(f333(f246(x54301),x54302),f333(f333(f246(x54301),x54302),x54303)),f333(f333(f246(x54301),x54302),x54303)) % 183.16/183.18 [5438]~P55(x54381)+E(f44(x54381,f333(f333(f79(x54381),x54382),x54383),x54383),f44(x54381,x54382,x54383)) % 183.16/183.18 [5439]~P55(x54391)+E(f44(x54391,f333(f333(f79(x54391),x54392),x54393),x54392),f44(x54391,x54393,x54392)) % 183.16/183.18 [5445]~P103(x54451)+E(f333(f333(f80(x54451),x54452),f333(f78(x54451),x54453)),f333(f78(x54451),f333(f333(f80(x54451),x54452),x54453))) % 183.16/183.18 [5446]~P58(x54461)+E(f333(f333(f291(x54461),x54462),f333(f78(x54461),x54463)),f333(f78(x54461),f333(f333(f291(x54461),x54462),x54463))) % 183.16/183.18 [5447]~P78(x54471)+E(f333(f333(f79(x54471),x54472),f333(f167(x54471),x54473)),f333(f167(x54471),f333(f333(f152(x54471),x54472),x54473))) % 183.16/183.18 [5477]~P103(x54771)+E(f333(f333(f80(x54771),f333(f78(x54771),x54772)),x54773),f333(f333(f80(x54771),x54772),f333(f78(x54771),x54773))) % 183.16/183.18 [5483]~P3(x54831,x54832,x54833)+E(f39(f882(x54831,a870),f333(f333(f60(x54831),x54832),x54833)),x54832) % 183.16/183.18 [5544]~P111(x55441)+E(f333(f333(f80(x55441),x55442),f333(f333(f258(x55441),x55442),x55443)),f333(f333(f258(x55441),x55442),f333(a115,x55443))) % 183.16/183.18 [5545]~P109(x55451)+E(f333(f333(f80(x55451),x55452),f333(f333(f258(x55451),x55452),x55453)),f333(f333(f258(x55451),x55452),f333(a115,x55453))) % 183.16/183.18 [5555]~P72(x55551)+E(f333(f333(f79(x55551),f333(f78(x55551),x55552)),f333(f333(f79(x55551),x55552),x55553)),x55553) % 183.16/183.18 [5578]~P141(x55781)+E(f333(f333(f258(x55781),f333(f103(x55781),x55782)),x55783),f333(f103(x55781),f333(f333(f258(a875),x55782),x55783))) % 183.16/183.18 [5579]~P138(x55791)+E(f333(f333(f258(x55791),f333(f105(x55791),x55792)),x55793),f333(f105(x55791),f333(f333(f258(a1),x55792),x55793))) % 183.16/183.18 [5585]~P83(x55851)+E(f333(f74(x55851),f333(f333(f22(x55851),x55852),x55853)),f333(f74(x55851),f333(f333(f22(x55851),x55853),x55852))) % 183.16/183.18 [5587]~P114(x55871)+E(f333(f333(f80(x55871),f81(x55871,x55872)),f81(x55871,x55873)),f81(x55871,f333(f333(f80(x55871),x55872),x55873))) % 183.16/183.18 [5591]E(x55911,f116(x55912))+E(f333(f333(f135(x55912),f333(f173(x55912),x55911)),x55913),f333(f173(x55912),f333(f333(f135(x55912),x55911),x55913))) % 183.16/183.18 [5596]~E(x55962,f333(a115,f333(f333(f79(a875),x55961),x55963)))+P23(f333(f333(f248(a875),x55961),x55962)) % 183.16/183.18 [5597]~P114(x55971)+E(f333(f333(f258(x55971),f333(f74(x55971),x55972)),x55973),f333(f74(x55971),f333(f333(f258(x55971),x55972),x55973))) % 183.16/183.18 [5598]~P103(x55981)+E(f333(f333(f80(x55981),f333(f78(x55981),x55982)),x55983),f333(f78(x55981),f333(f333(f80(x55981),x55982),x55983))) % 183.16/183.18 [5599]~P117(x55991)+E(f333(f333(f291(x55991),f333(f78(x55991),x55992)),x55993),f333(f78(x55991),f333(f333(f291(x55991),x55992),x55993))) % 183.16/183.18 [5697]E(f520(x56971,x56972,x56973),f556(x56971,x56972,x56973))+E(f333(f333(f104(f882(x56973,a870)),x56972),x56971),f196(f882(x56973,a870))) % 183.16/183.18 [5712]~P66(x57122)+E(f333(f333(f6(x57121,x57122),f333(f16(x57122,x57121),f2(x57122))),x57123),f2(x57122)) % 183.16/183.18 [5713]~P73(x57132)+E(f333(f333(f9(x57131,x57132),f333(f16(x57132,x57131),f77(x57132))),x57133),f77(x57132)) % 183.16/183.18 [5715]~P141(x57151)+E(f333(f333(f79(x57151),f333(f103(x57151),x57152)),f333(f103(x57151),x57153)),f333(f103(x57151),f333(f333(f79(a875),x57152),x57153))) % 183.16/183.18 [5716]~P141(x57161)+E(f333(f333(f80(x57161),f333(f103(x57161),x57162)),f333(f103(x57161),x57163)),f333(f103(x57161),f333(f333(f80(a875),x57162),x57163))) % 183.16/183.18 [5717]~P138(x57171)+E(f333(f333(f22(x57171),f333(f105(x57171),x57172)),f333(f105(x57171),x57173)),f333(f105(x57171),f333(f333(f22(a1),x57172),x57173))) % 183.16/183.18 [5718]~P138(x57181)+E(f333(f333(f79(x57181),f333(f105(x57181),x57182)),f333(f105(x57181),x57183)),f333(f105(x57181),f333(f333(f79(a1),x57182),x57183))) % 183.16/183.18 [5719]~P138(x57191)+E(f333(f333(f80(x57191),f333(f105(x57191),x57192)),f333(f105(x57191),x57193)),f333(f105(x57191),f333(f333(f80(a1),x57192),x57193))) % 183.16/183.18 [5720]~P90(x57201)+E(f333(f333(f22(x57201),f333(f106(x57201),x57202)),f333(f106(x57201),x57203)),f333(f106(x57201),f333(f333(f22(a1),x57202),x57203))) % 183.16/183.18 [5723]~P90(x57231)+E(f333(f333(f79(x57231),f333(f106(x57231),x57232)),f333(f106(x57231),x57233)),f333(f106(x57231),f333(f333(f79(a1),x57232),x57233))) % 183.16/183.18 [5724]~P90(x57241)+E(f333(f333(f80(x57241),f333(f106(x57241),x57242)),f333(f106(x57241),x57243)),f333(f106(x57241),f333(f333(f80(a1),x57242),x57243))) % 183.16/183.18 [5771]~E(x57713,x57712)+P23(f333(f333(f247(f882(x57711,a870)),x57712),x57713)) % 183.16/183.18 [5777]~E(x57772,x57773)+P23(f333(f333(f247(f882(x57771,a870)),x57772),x57773)) % 183.16/183.18 [5782]~P114(x57821)+E(f333(f333(f80(x57821),f333(f74(x57821),x57822)),f333(f74(x57821),x57823)),f333(f74(x57821),f333(f333(f80(x57821),x57822),x57823))) % 183.16/183.18 [5783]~P60(x57831)+E(f333(f333(f291(x57831),f333(f74(x57831),x57832)),f333(f74(x57831),x57833)),f333(f74(x57831),f333(f333(f291(x57831),x57832),x57833))) % 183.16/183.18 [5784]~P93(x57841)+E(f333(f333(f104(x57841),f333(f78(x57841),x57842)),f333(f78(x57841),x57843)),f333(f78(x57841),f333(f333(f113(x57841),x57842),x57843))) % 183.16/183.18 [5785]~P93(x57851)+E(f333(f333(f113(x57851),f333(f78(x57851),x57852)),f333(f78(x57851),x57853)),f333(f78(x57851),f333(f333(f104(x57851),x57852),x57853))) % 183.16/183.18 [5786]~P72(x57861)+E(f333(f333(f79(x57861),f333(f78(x57861),x57862)),f333(f78(x57861),x57863)),f333(f78(x57861),f333(f333(f79(x57861),x57863),x57862))) % 183.16/183.18 [5787]~P65(x57871)+E(f333(f333(f79(x57871),f333(f78(x57871),x57872)),f333(f78(x57871),x57873)),f333(f78(x57871),f333(f333(f79(x57871),x57872),x57873))) % 183.16/183.18 [5788]~P74(x57881)+E(f333(f333(f246(x57881),f333(f78(x57881),x57882)),f333(f78(x57881),x57883)),f333(f78(x57881),f333(f333(f245(x57881),x57882),x57883))) % 183.16/183.18 [5789]~P74(x57891)+E(f333(f333(f245(x57891),f333(f78(x57891),x57892)),f333(f78(x57891),x57893)),f333(f78(x57891),f333(f333(f246(x57891),x57892),x57893))) % 183.16/183.18 [5790]~P78(x57901)+E(f333(f333(f79(x57901),f333(f167(x57901),x57902)),f333(f167(x57901),x57903)),f333(f167(x57901),f333(f333(f135(x57901),x57902),x57903))) % 183.16/183.18 [5791]E(x57911,f196(f882(x57912,a870)))+~E(f333(f333(f113(f882(x57912,a870)),x57913),x57911),f196(f882(x57912,a870))) % 183.16/183.18 [5792]E(x57921,f196(f882(x57922,a870)))+~E(f333(f333(f113(f882(x57922,a870)),x57921),x57923),f196(f882(x57922,a870))) % 183.16/183.18 [5793]~P144(x57931,x57933,x57932)+P23(f333(x57931,f333(f333(f38(a1),x57932),x57933))) % 183.16/183.18 [5843]~P23(f333(f61(x58431),x58433))+P23(f333(f61(x58431),f333(f333(f311(x58431),x58432),x58433))) % 183.16/183.18 [5844]~P23(f333(f138(x58441),x58443))+P23(f333(f138(x58441),f333(f333(f177(x58441),x58442),x58443))) % 183.16/183.18 [5845]~P23(f333(f138(x58451),x58453))+P23(f333(f138(x58451),f333(f333(f139(x58451),x58452),x58453))) % 183.16/183.18 [5874]~P62(x58741)+P23(f333(f333(f247(x58741),x58742),f333(f333(f113(x58741),x58743),x58742))) % 183.16/183.18 [5875]~P98(x58751)+P23(f333(f333(f247(x58751),x58752),f333(f333(f113(x58751),x58753),x58752))) % 183.16/183.18 [5876]~P62(x58761)+P23(f333(f333(f247(x58761),x58762),f333(f333(f113(x58761),x58762),x58763))) % 183.16/183.18 [5877]~P98(x58771)+P23(f333(f333(f247(x58771),x58772),f333(f333(f113(x58771),x58772),x58773))) % 183.16/183.18 [5878]~P106(x58781)+P23(f333(f333(f247(x58781),x58782),f333(f333(f246(x58781),x58783),x58782))) % 183.16/183.18 [5879]~P106(x58791)+P23(f333(f333(f247(x58791),x58792),f333(f333(f246(x58791),x58792),x58793))) % 183.16/183.18 [5893]~E(x58931,f2(a875))+E(f333(f333(f38(a875),f333(f333(f80(a875),x58931),x58932)),f333(f333(f80(a875),x58931),x58933)),f2(a875)) % 183.16/183.18 [5960]P23(f333(x59601,x59602))+P23(f333(f333(f202(f31(x59601,x59603)),x59602),x59602)) % 183.16/183.18 [5975]~P90(x59751)+E(f333(f333(f22(x59751),f333(f106(x59751),x59752)),f333(f106(x59751),x59753)),f333(f106(x59751),f333(f333(f79(a1),x59752),f333(f78(a1),x59753)))) % 183.16/183.18 [6029]E(x60291,f2(a875))+E(f333(f333(f38(a875),f333(f333(f80(a875),x60291),x60292)),f333(f333(f80(a875),x60291),x60293)),f333(f333(f38(a875),x60292),x60293)) % 183.16/183.18 [6063]E(f153(x60631,f333(f333(f152(x60631),x60632),x60633)),f333(f333(f152(x60631),x60632),f153(x60631,x60633)))+P23(f333(f333(f335(x60631),x60632),f333(f174(x60631),x60633))) % 183.16/183.18 [6097]P144(x60971,x60972,x60973)+~P23(f333(x60971,f333(f333(f38(a1),x60973),x60972))) % 183.16/183.18 [6166]E(x61661,f116(x61662))+E(f333(f333(f152(x61662),f333(f142(x61662),x61661)),f333(f333(f177(x61662),x61663),f333(f173(x61662),x61661))),f333(f333(f177(x61662),f333(a115,x61663)),x61661)) % 183.16/183.18 [6173]E(f333(f333(f22(f882(x61731,a870)),x61732),x61733),x61732)+~E(f333(f333(f104(f882(x61731,a870)),x61732),x61733),f196(f882(x61731,a870))) % 183.16/183.18 [6187]E(f153(x61871,f333(f333(f152(x61871),x61872),x61873)),f153(x61871,x61873))+~P23(f333(f333(f335(x61871),x61872),f333(f174(x61871),x61873))) % 183.16/183.18 [6219]~P23(f333(f333(f248(a875),x62191),x62193))+P23(f333(f333(f248(a875),x62191),f333(f333(f79(a875),x62192),x62193))) % 183.16/183.18 [6221]~P23(f333(f333(f248(a875),x62211),x62212))+P23(f333(f333(f248(a875),x62211),f333(f333(f79(a875),x62212),x62213))) % 183.16/183.18 [6223]~P23(f333(f333(f247(a875),x62231),x62233))+P23(f333(f333(f247(a875),x62231),f333(f333(f79(a875),x62232),x62233))) % 183.16/183.18 [6225]~P23(f333(f333(f247(a875),x62251),x62252))+P23(f333(f333(f247(a875),x62251),f333(f333(f79(a875),x62252),x62253))) % 183.16/183.18 [6264]P23(f333(f61(x62641),x62642))+~P23(f333(f61(x62641),f333(f333(f311(x62641),x62643),x62642))) % 183.16/183.18 [6265]P23(f333(f138(x62651),x62652))+~P23(f333(f138(x62651),f333(f333(f152(x62651),x62653),x62652))) % 183.16/183.18 [6266]P23(f333(f138(x62661),x62662))+~P23(f333(f138(x62661),f333(f333(f135(x62661),x62663),x62662))) % 183.16/183.18 [6267]P23(f333(f138(x62671),x62672))+~P23(f333(f138(x62671),f333(f333(f135(x62671),x62672),x62673))) % 183.16/183.18 [6313]~P109(x63131)+E(f333(f333(f79(x63131),x63132),f333(f333(f80(x63131),x63133),x63132)),f333(f333(f80(x63131),f333(f333(f79(x63131),x63133),f77(x63131))),x63132)) % 183.16/183.18 [6360]~E(x63601,x63602)+~P23(f333(f333(f248(f882(x63603,a870)),x63601),x63602)) % 183.16/183.18 [6404]P23(f333(f333(f335(x64041),x64042),x64043))+P23(f333(f333(f335(x64041),x64042),f333(f78(f882(x64041,a870)),x64043))) % 183.16/183.18 [6410]E(f145(x64101,f333(f333(f139(x64101),x64102),x64103)),f145(x64101,x64103))+~P23(f333(f333(f248(a875),x64102),f333(f197(f876(x64101)),x64103))) % 183.16/183.18 [6411]E(f333(f333(f177(x64111),x64112),f117(x64111,x64113)),f333(f333(f177(x64111),x64112),x64113))+~P23(f333(f333(f248(a875),x64112),f333(f197(f876(x64111)),x64113))) % 183.16/183.18 [6465]E(f333(f333(f333(f191(f876(x64651),f876(x64651)),x64652),f169(x64651)),x64653),x64653)+~E(f44(a875,x64652,f333(f197(f876(x64651)),x64653)),f2(a875)) % 183.16/183.18 [6472]~P3(x64721,x64723,x64722)+E(f333(f333(f290(x64721,x64721,x64721),f333(f288(x64721,x64721),x64722)),x64722),x64722) % 183.16/183.18 [6514]~E(f333(f333(f113(f882(x65141,a870)),x65142),x65143),x65143)+P23(f333(f333(f247(f882(x65141,a870)),x65142),x65143)) % 183.16/183.18 [6519]~P49(x65191,x65191,x65193)+P49(x65191,x65191,f333(f333(f191(f881(x65191,x65191),a870),x65192),x65193)) % 183.16/183.18 [6521]~P23(f333(f333(f335(x65211),x65213),f333(f174(x65211),x65212)))+P23(f333(f333(f248(a875),f2(a875)),f333(f197(f876(x65211)),x65212))) % 183.16/183.18 [6547]~P83(x65471)+E(f333(f74(x65471),f333(f333(f79(x65471),f333(f74(x65471),x65472)),f333(f74(x65471),x65473))),f333(f333(f79(x65471),f333(f74(x65471),x65472)),f333(f74(x65471),x65473))) % 183.16/183.18 [6558]E(f333(f333(f38(a875),f333(f333(f80(a875),x65581),x65582)),f333(f333(f80(a875),x65581),x65583)),f333(f333(f38(a875),x65582),x65583))+~P23(f333(f333(f248(a875),f2(a875)),x65581)) % 183.16/183.18 [6606]E(x66061,x66062)+~P23(f333(f333(f333(f333(a204,a24),x66061),x66063),x66062)) % 183.16/183.18 [6695]~P23(f333(f61(x66951),x66953))+E(f333(f333(f64(x66951,f882(x66951,a870),f311(x66951)),x66952),x66953),f333(f333(f113(f882(x66951,a870)),x66953),x66952)) % 183.16/183.18 [6754]E(f333(f333(f113(f882(x67541,a870)),x67542),x67543),x67542)+~P23(f333(f333(f247(f882(x67541,a870)),x67543),x67542)) % 183.16/183.18 [6756]E(f333(f333(f113(f882(x67561,a870)),x67562),x67563),x67563)+~P23(f333(f333(f247(f882(x67561,a870)),x67562),x67563)) % 183.16/183.18 [6757]E(f333(f333(f104(f882(x67571,a870)),x67572),x67573),x67573)+~P23(f333(f333(f247(f882(x67571,a870)),x67573),x67572)) % 183.16/183.18 [6758]E(f333(f333(f104(f882(x67581,a870)),x67582),x67583),x67582)+~P23(f333(f333(f247(f882(x67581,a870)),x67582),x67583)) % 183.16/183.18 [6810]~P23(f333(f138(x68101),x68102))+E(f333(f333(f22(f882(x68101,a870)),f333(f174(x68101),x68102)),f333(f333(f311(x68101),x68103),f196(f882(x68101,a870)))),f333(f174(x68101),f172(x68101,x68103,x68102))) % 183.16/183.18 [6863]P37(x68631,x68632)+~P37(x68631,f333(f333(f191(f881(x68631,x68631),a870),x68633),x68632)) % 183.16/183.18 [6929]P23(f333(f48(x69291,x69292),f333(a50,x69293)))+~P23(f333(f48(f333(f78(a1),x69291),f333(f78(a1),x69292)),x69293)) % 183.16/183.18 [6934]E(f333(f333(f22(f882(x69341,a870)),f333(f333(f311(x69341),x69342),x69343)),f333(f333(f311(x69341),x69342),f196(f882(x69341,a870)))),x69343)+P23(f333(f333(f335(x69341),x69342),x69343)) % 183.16/183.18 [6955]E(f333(f333(f104(f882(x69551,a870)),f333(f174(x69551),x69552)),f333(f174(x69551),x69553)),f196(f882(x69551,a870)))+~P23(f333(f138(x69551),f333(f333(f135(x69551),x69552),x69553))) % 183.16/183.18 [6971]~P23(f333(f333(f335(x69711),x69712),f333(f174(x69711),x69713)))+~P23(f333(f138(x69711),f333(f333(f152(x69711),x69712),x69713))) % 183.16/183.18 [7043]P31(x70431,x70432,x70433)+P23(f333(f333(f248(a875),f795(x70433,x70432,x70431)),f333(f197(f876(x70431)),x70433))) % 183.16/183.18 [7053]E(f333(f333(f104(f882(x70531,a870)),x70532),x70533),f196(f882(x70531,a870)))+P23(f333(f333(f335(x70531),f520(x70533,x70532,x70531)),x70532)) % 183.16/183.18 [7054]E(f333(f333(f104(f882(x70541,a870)),x70542),x70543),f196(f882(x70541,a870)))+P23(f333(f333(f335(x70541),f556(x70543,x70542,x70541)),x70543)) % 183.16/183.18 [7058]E(f117(x70581,f333(f333(f177(x70581),x70582),x70583)),f333(f333(f177(x70581),f333(f333(f22(a875),x70582),f77(a875))),x70583))+~P23(f333(f333(f247(a875),x70582),f333(f197(f876(x70581)),x70583))) % 183.16/183.18 [7117]~P33(x71173,x71172,x71171)+P23(f333(f333(f248(a875),f790(x71171,x71172,x71173)),f333(f197(f876(x71173)),x71171))) % 183.16/183.18 [7135]P23(f333(f333(f248(a875),f2(a875)),x71351))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x71352),x71351)),f333(f333(f80(a875),x71353),x71351))) % 183.16/183.18 [7136]P23(f333(f333(f248(a875),f2(a875)),x71361))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x71361),x71362)),f333(f333(f80(a875),x71361),x71363))) % 183.16/183.18 [7139]~P23(f333(f333(f335(x71391),x71392),x71393))+~P23(f333(f333(f335(x71391),x71392),f333(f78(f882(x71391,a870)),x71393))) % 183.16/183.18 [7146]~P23(f333(f333(f248(f882(x71461,a870)),x71462),x71463))+P23(f333(f333(f247(f882(x71461,a870)),x71462),x71463)) % 183.16/183.18 [7245]~P23(f333(f333(f248(a875),x72452),x72453))+P23(f333(f333(f248(a875),f333(f333(f79(a875),x72451),x72452)),f333(f333(f79(a875),x72451),x72453))) % 183.16/183.18 [7246]~P23(f333(f333(f248(a875),x72461),x72463))+P23(f333(f333(f248(a875),f333(f333(f79(a875),x72461),x72462)),f333(f333(f79(a875),x72463),x72462))) % 183.16/183.18 [7247]~P23(f333(f333(f248(a1),x72471),x72473))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x72471),x72472)),f333(f333(f79(a1),x72473),x72472))) % 183.16/183.18 [7250]~P23(f333(f333(f247(a875),x72503),x72502))+P23(f333(f333(f247(a875),f333(f333(f22(a875),x72501),x72502)),f333(f333(f22(a875),x72501),x72503))) % 183.16/183.18 [7251]~P23(f333(f333(f247(a875),x72511),x72513))+P23(f333(f333(f247(a875),f333(f333(f22(a875),x72511),x72512)),f333(f333(f22(a875),x72513),x72512))) % 183.16/183.18 [7252]~P23(f333(f333(f247(a875),x72522),x72523))+P23(f333(f333(f247(a875),f333(f333(f79(a875),x72521),x72522)),f333(f333(f79(a875),x72521),x72523))) % 183.16/183.18 [7253]~P23(f333(f333(f247(a875),x72531),x72533))+P23(f333(f333(f247(a875),f333(f333(f79(a875),x72531),x72532)),f333(f333(f79(a875),x72533),x72532))) % 183.16/183.18 [7255]~P23(f333(f333(f247(a875),x72552),x72553))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x72551),x72552)),f333(f333(f80(a875),x72551),x72553))) % 183.16/183.18 [7257]~P23(f333(f333(f247(a875),x72571),x72573))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x72571),x72572)),f333(f333(f80(a875),x72573),x72572))) % 183.16/183.18 [7258]~P23(f333(f333(f247(a875),x72581),x72583))+P23(f333(f333(f247(a875),f333(f333(f38(a875),x72581),x72582)),f333(f333(f38(a875),x72583),x72582))) % 183.16/183.18 [7259]~P23(f333(f333(f247(a1),x72592),x72593))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x72591),x72592)),f333(f333(f79(a1),x72591),x72593))) % 183.16/183.18 [7339]E(x73391,x73392)+~P23(f333(f333(f335(x73393),x73391),f333(f333(f311(x73393),x73392),f196(f882(x73393,a870))))) % 183.16/183.18 [7341]~E(f333(f333(f104(f882(x73411,a870)),x73412),x73413),f196(f882(x73411,a870)))+P23(f333(f333(f247(f882(x73411,a870)),x73412),f333(f78(f882(x73411,a870)),x73413))) % 183.16/183.18 [7349]P23(f333(f333(f335(f882(x73491,a870)),x73492),f333(f310(x73491),x73493)))+~P23(f333(f333(f247(f882(x73491,a870)),x73492),x73493)) % 183.16/183.18 [7402]E(f333(f333(f152(x74021),f333(f333(f166(x74021),x74022),x74023)),f333(f333(f139(x74021),f333(a115,x74023)),x74022)),f333(f333(f139(x74021),x74023),x74022))+~P23(f333(f333(f248(a875),x74023),f333(f197(f876(x74021)),x74022))) % 183.16/183.18 [7429]P23(f333(f333(f335(f881(x74291,x74291)),x74292),f309(x74291,x74293)))+~P23(f333(f333(f335(f881(x74291,x74291)),x74292),x74293)) % 183.16/183.18 [7440]~P23(f333(f333(f335(f882(x74401,a870)),x74402),f333(f310(x74401),x74403)))+P23(f333(f333(f247(f882(x74401,a870)),x74402),x74403)) % 183.16/183.18 [7486]P23(f333(f333(f247(f882(x74861,a870)),x74862),f39(f882(x74861,a870),x74863)))+~P23(f333(f333(f335(f882(x74861,a870)),x74862),x74863)) % 183.16/183.18 [7511]~P138(x75111)+E(f333(f333(f80(x75111),f333(f333(f258(x75111),f333(f78(x75111),f77(x75111))),x75112)),f333(f333(f258(x75111),x75113),x75112)),f333(f333(f258(x75111),f333(f78(x75111),x75113)),x75112)) % 183.16/183.18 [7533]E(f333(f333(f166(x75331),x75332),f333(f333(f22(a875),f333(f197(f876(x75331)),x75332)),f333(a115,x75333))),f333(f333(f166(x75331),f333(f170(x75331),x75332)),x75333))+~P23(f333(f333(f248(a875),x75333),f333(f197(f876(x75331)),x75332))) % 183.16/183.18 [7550]~E(f333(f333(f104(f882(x75501,a870)),f824(x75503,x75502,x75501)),x75503),f196(f882(x75501,a870)))+E(f333(f333(f104(f882(x75501,a870)),f39(f882(x75501,a870),x75502)),x75503),f196(f882(x75501,a870))) % 183.16/183.18 [7611]~P23(f333(f333(f335(x76113),x76112),f333(f174(x76113),x76111)))+P23(f333(f333(f248(a875),f653(x76111,x76112,x76113)),f333(f197(f876(x76113)),x76111))) % 183.16/183.18 [7619]P23(f333(f333(f335(x76191),f333(f333(f166(x76191),x76192),x76193)),f333(f174(x76191),x76192)))+~P23(f333(f333(f248(a875),x76193),f333(f197(f876(x76191)),x76192))) % 183.16/183.18 [7721]~P23(f333(x77212,f753(x77213,x77212,x77211)))+E(f333(f333(f139(x77211),f333(f197(f876(x77211)),f179(x77211,x77212,x77213))),x77213),f116(x77211)) % 183.16/183.18 [7732]P23(f333(f333(f247(f882(f876(x77321),a870)),f162(x77321,x77322)),f162(x77321,x77323)))+~P23(f333(f333(f247(f882(x77321,a870)),x77322),x77323)) % 183.16/183.18 [7733]P23(f333(f333(f247(f882(f876(x77331),a870)),f161(x77331,x77332)),f161(x77331,x77333)))+~P23(f333(f333(f247(f882(x77331,a870)),x77332),x77333)) % 183.16/183.18 [7762]E(f333(f333(f104(f882(x77621,a870)),f39(f882(x77621,a870),x77622)),x77623),f196(f882(x77621,a870)))+P23(f333(f333(f335(f882(x77621,a870)),f824(x77623,x77622,x77621)),x77622)) % 183.16/183.18 [7765]~P23(f333(f333(f335(f882(x77651,a870)),x77653),x77652))+P23(f333(f333(f247(f882(x77651,a870)),f40(f882(x77651,a870),x77652)),x77653)) % 183.16/183.18 [7767]E(f333(f333(f104(f882(x77671,a870)),x77672),x77673),f196(f882(x77671,a870)))+~P23(f333(f333(f247(f882(x77671,a870)),x77672),f333(f78(f882(x77671,a870)),x77673))) % 183.16/183.18 [7816]E(f333(f333(f22(a875),f333(f333(f79(a875),f333(f167(a875),x78161)),x78162)),f333(f333(f166(a875),x78161),x78163)),f333(f167(a875),f333(f333(f160(a875,x78161),x78163),x78162)))+~P23(f333(f333(f248(a875),x78163),f333(f197(f876(a875)),x78161))) % 183.16/183.18 [7866]P23(f333(f333(f248(a875),x78661),x78662))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),x78663),x78661)),f333(f333(f79(a875),x78663),x78662))) % 183.16/183.18 [7867]P23(f333(f333(f248(a875),x78671),x78672))+~P23(f333(f333(f248(a875),f333(f333(f80(a875),x78673),x78671)),f333(f333(f80(a875),x78673),x78672))) % 183.16/183.18 [7868]P23(f333(f333(f248(a875),x78681),x78682))+~P23(f333(f333(f248(a875),f333(f333(f80(a875),x78681),x78683)),f333(f333(f80(a875),x78682),x78683))) % 183.16/183.18 [7871]P23(f333(f333(f247(a875),x78711),x78712))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x78713),x78711)),f333(f333(f79(a875),x78713),x78712))) % 183.16/183.18 [7901]P23(f333(f333(f248(a875),f2(a875)),x79011))+~P23(f333(f333(f248(a875),f333(f333(f80(a875),x79012),x79011)),f333(f333(f80(a875),x79013),x79011))) % 183.16/183.18 [7902]P23(f333(f333(f248(a875),f2(a875)),x79021))+~P23(f333(f333(f248(a875),f333(f333(f80(a875),x79021),x79022)),f333(f333(f80(a875),x79021),x79023))) % 183.16/183.18 [7976]E(f260(x79761,x79762,x79763),x79762)+~P23(f333(f333(f247(f882(x79761,a870)),x79763),f333(f333(f311(x79761),x79762),f196(f882(x79761,a870))))) % 183.16/183.18 [8034]~P23(f333(f138(x80341),x80343))+E(f333(f137(x80341,f333(f333(f8(a870,a870,x80341),a328),f333(a330,x80342))),x80343),f172(x80341,x80342,x80343)) % 183.16/183.18 [8057]E(f333(f333(f139(x80571),f333(f197(f876(x80571)),f179(x80571,x80572,x80573))),x80573),f116(x80571))+P23(f333(f333(f335(x80571),f753(x80573,x80572,x80571)),f333(f174(x80571),x80573))) % 183.16/183.18 [8061]E(f333(f333(f135(x80611),f333(f333(f177(x80611),x80612),x80613)),f333(f333(f152(x80611),f333(f333(f166(x80611),x80613),x80612)),f116(x80611))),f333(f333(f177(x80611),f333(a115,x80612)),x80613))+~P23(f333(f333(f248(a875),x80612),f333(f197(f876(x80611)),x80613))) % 183.16/183.18 [8123]E(f333(f137(x81231,f333(f333(f8(a870,a870,x81231),a328),f333(a330,x81232))),x81233),x81233)+P23(f333(f333(f335(x81231),x81232),f333(f174(x81231),x81233))) % 183.16/183.18 [8131]P23(f333(f333(f247(f882(f882(x81311,a870),a870)),f261(x81311,x81312)),f261(x81311,x81313)))+~P23(f333(f333(f247(f882(x81311,a870)),x81312),x81313)) % 183.16/183.18 [8176]~P23(f333(f138(x81761),x81763))+P23(f333(f138(x81761),f333(f333(f333(f191(f876(x81761),f876(x81761)),x81762),f169(x81761)),x81763))) % 183.16/183.18 [8181]~P23(f333(f333(f248(a875),x81812),x81813))+P23(f333(f333(f248(a875),f333(f333(f80(a875),f333(a115,x81811)),x81812)),f333(f333(f80(a875),f333(a115,x81811)),x81813))) % 183.16/183.18 [8204]P23(f333(f333(f247(f882(f882(x82041,a870),a870)),f333(f310(x82041),x82042)),f333(f310(x82041),x82043)))+~P23(f333(f333(f247(f882(x82041,a870)),x82042),x82043)) % 183.16/183.18 [8366]~P23(f333(f333(f247(f882(x83661,a870)),x83663),x83662))+P23(f333(f333(f247(f882(x83661,a870)),f333(f78(f882(x83661,a870)),x83662)),f333(f78(f882(x83661,a870)),x83663))) % 183.16/183.18 [8399]E(f333(f312(a875,a875,f333(f333(f7(a875,a875,a875),f22(a875)),x83991)),f333(f303(a875,x83992),x83993)),f333(f303(a875,f333(f333(f22(a875),x83992),x83991)),f333(f333(f22(a875),x83993),x83991)))+~P23(f333(f333(f248(a875),x83991),x83993)) % 183.16/183.18 [8428]~P78(x84281)+E(f333(f333(f79(x84281),x84282),f333(f143(x84281,x84281,f79(x84281),f2(x84281)),x84283)),f333(f143(x84281,x84281,f79(x84281),x84282),x84283)) % 183.16/183.18 [8510]~P83(x85101)+P23(f333(f333(f247(x85101),f333(f74(x85101),f333(f333(f22(x85101),x85102),x85103))),f333(f333(f79(x85101),f333(f74(x85101),x85102)),f333(f74(x85101),x85103)))) % 183.16/183.18 [8511]~P83(x85111)+P23(f333(f333(f247(x85111),f333(f74(x85111),f333(f333(f79(x85111),x85112),x85113))),f333(f333(f79(x85111),f333(f74(x85111),x85112)),f333(f74(x85111),x85113)))) % 183.16/183.18 [8521]E(f333(f333(f79(a1),f333(f333(f80(a1),x85211),f44(a1,f333(f333(f38(a1),x85212),x85211),x85213))),f44(a1,x85212,x85211)),f44(a1,x85212,f333(f333(f80(a1),x85211),x85213)))+~P23(f333(f333(f248(a1),f2(a1)),x85213)) % 183.16/183.18 [8527]E(f333(f333(f135(x85271),f333(f333(f177(x85271),x85272),x85273)),f333(f333(f152(x85271),f333(f142(x85271),f333(f333(f139(x85271),x85272),x85273))),f116(x85271))),f333(f333(f177(x85271),f333(a115,x85272)),x85273))+~P23(f333(f333(f248(a875),x85272),f333(f197(f876(x85271)),x85273))) % 183.16/183.18 [8546]E(f333(f279(x85461,f333(f333(f155(x85461,f881(a102,x85461)),f333(f268(a102,x85461),f77(a102))),x85462)),f333(a3,x85463)),f333(f333(f166(x85461),x85462),x85463))+~P23(f333(f333(f248(a875),x85463),f333(f197(f876(x85461)),x85462))) % 183.16/183.18 [8610]P23(f333(f333(f335(f881(x86101,x86101)),x86102),f333(f333(f290(x86101,x86101,x86101),x86103),f309(x86101,x86103))))+~P23(f333(f333(f335(f881(x86101,x86101)),x86102),x86103)) % 183.16/183.18 [8630]P23(f333(f333(f247(a875),x86301),x86302))+~P23(f333(f333(f247(a875),f333(f333(f80(a875),f333(a115,x86303)),x86301)),f333(f333(f80(a875),f333(a115,x86303)),x86302))) % 183.16/183.18 [8644]P23(f333(f333(f247(f882(x86441,a870)),x86442),x86443))+~P23(f333(f333(f247(f882(x86441,a870)),f333(f78(f882(x86441,a870)),x86443)),f333(f78(f882(x86441,a870)),x86442))) % 183.16/183.18 [8662]P23(f333(f138(x86621),x86622))+~P23(f333(f138(x86621),f333(f333(f333(f191(f876(x86621),f876(x86621)),x86623),f169(x86621)),x86622))) % 183.16/183.18 [8722]E(f333(f312(f881(x87221,x87222),x87222,f271(x87221,x87222)),f333(f174(f881(x87221,x87222)),x87223)),f188(x87221,x87222,f333(f180(x87221,x87222),x87223)))+~P23(f333(f138(x87221),f333(f333(f155(f881(x87221,x87222),x87221),f267(x87221,x87222)),x87223))) % 183.16/183.18 [8731]E(f333(f287(x87311,x87311,f309(x87311,x87312)),x87313),x87313)+~P23(f333(f333(f247(f882(x87311,a870)),f333(f287(x87311,x87311,x87312),x87313)),x87313)) % 183.16/183.18 [8773]~P106(x87731)+P28(x87731,f333(f137(x87731,f333(f333(f7(x87731,x87731,a870),a330),f333(x87732,x87733))),x87733)) % 183.16/183.18 [8779]~P23(f333(f333(f247(a875),x87791),x87792))+P23(f333(f333(f247(a875),x87791),f333(f143(a875,a875,f79(a875),x87792),x87793))) % 183.16/183.18 [8857]~P23(f333(f333(f335(f881(x88571,x88571)),x88572),f309(x88571,x88573)))+P23(f333(f333(f335(f881(x88571,x88571)),x88572),f333(f333(f191(f881(x88571,x88571),a870),f633(x88573,x88572,x88571)),x88573))) % 183.16/183.18 [8952]~P78(x89521)+E(f333(f333(f79(x89521),x89522),f333(f143(x89521,x89521,f333(f7(x89521,x89521,x89521),f79(x89521)),f2(x89521)),f333(f170(x89521),x89523))),f333(f143(x89521,x89521,f79(x89521),x89522),x89523)) % 183.16/183.18 [9220]P49(x92201,x92202,x92203)+P23(f333(f333(f335(f881(x92201,x92202)),f333(f333(f268(x92201,x92202),f625(x92203,x92202,x92201)),f614(x92203,x92202,x92201))),x92203)) % 183.16/183.18 [9221]P49(x92211,x92212,x92213)+P23(f333(f333(f335(f881(x92211,x92212)),f333(f333(f268(x92211,x92212),f625(x92213,x92212,x92211)),f613(x92213,x92212,x92211))),x92213)) % 183.16/183.18 [9291]~P23(f333(f333(f335(f881(x92911,x92911)),x92912),f333(f333(f290(x92911,x92911,x92911),x92913),f309(x92911,x92913))))+P23(f333(f333(f335(f881(x92911,x92911)),x92912),f333(f333(f191(f881(x92911,x92911),a870),f635(x92913,x92912,x92911)),x92913))) % 183.16/183.18 [9292]~P23(f333(x92921,f333(f333(f166(x92922),x92923),f333(f197(f876(x92922)),f179(x92922,x92921,x92923)))))+~P23(f333(f333(f248(a875),f333(f197(f876(x92922)),f179(x92922,x92921,x92923))),f333(f197(f876(x92922)),x92923))) % 183.16/183.18 [9381]~P23(f333(f333(f247(f882(x93811,a870)),x93812),x93813))+P23(f333(f333(f247(f882(x93811,a870)),f333(f333(f7(x93811,f882(x93811,a870),a870),f335(x93811)),x93812)),f333(f333(f7(x93811,f882(x93811,a870),a870),f335(x93811)),x93813))) % 183.16/183.18 [9434]~P23(f333(f333(f335(f881(f882(x94341,a870),f882(x94341,a870))),f333(f333(f268(f882(x94341,a870),f882(x94341,a870)),x94342),x94343)),f308(x94341)))+P23(f333(f333(f248(f882(x94341,a870)),x94342),x94343)) % 183.16/183.18 [9459]P50(x94591,x94592,x94593)+~P23(f333(f333(f335(f881(x94591,x94591)),f333(f333(f268(x94591,x94591),f628(x94593,x94592,x94591)),f627(x94593,x94592,x94591))),x94593)) % 183.16/183.18 [9460]P50(x94601,x94602,x94603)+~P23(f333(f333(f335(f881(x94601,x94601)),f333(f333(f268(x94601,x94601),f627(x94603,x94602,x94601)),f628(x94603,x94602,x94601))),x94603)) % 183.16/183.18 [9496]~P23(f333(f333(f335(f881(f876(x94961),f876(x94961))),f333(f333(f268(f876(x94961),f876(x94961)),x94962),x94962)),f148(x94961,x94963)))+P23(f333(f333(f335(f881(x94961,x94961)),f333(f333(f268(x94961,x94961),f668(x94962,x94963,x94961)),f668(x94962,x94963,x94961))),x94963)) % 183.16/183.18 [9547]P23(f333(f333(f247(f882(x95471,a870)),x95472),x95473))+~P23(f333(f333(f247(f882(x95471,a870)),f333(f333(f7(x95471,f882(x95471,a870),a870),f335(x95471)),x95472)),f333(f333(f7(x95471,f882(x95471,a870),a870),f335(x95471)),x95473))) % 183.16/183.18 [9628]E(f333(f333(f22(a875),f333(f333(f6(a875,a875),x96281),f333(f254(a875),x96282))),f333(f333(f6(a875,a875),x96283),f333(f254(a875),x96282))),f333(f333(f6(a875,a875),f333(f333(f18(a875,a875,a875),f333(f333(f8(a875,f882(a875,a875),a875),f22(a875)),x96281)),x96283)),f333(f254(a875),x96282)))+~P23(f333(f333(f247(a875),f333(x96283,f405(x96282,x96281,x96283))),f333(x96281,f405(x96282,x96281,x96283)))) % 183.16/183.18 [9931]E(f333(f253(f881(x99311,x99312)),f333(f272(x99311,x99312,a870),f333(f333(f7(x99311,f882(x99312,f879(x99312)),f882(x99312,a870)),f333(f333(f8(f882(f879(x99312),a870),f882(f882(x99312,f879(x99312)),f882(x99312,a870)),x99311),f8(f879(x99312),a870,x99312)),f333(f333(f8(f879(x99312),f882(f879(x99312),a870),x99311),a330),f333(f180(x99311,x99312),x99313)))),f240(x99312)))),f333(f174(f881(x99311,x99312)),x99313))+~P23(f333(f138(x99311),f333(f333(f155(f881(x99311,x99312),x99311),f267(x99311,x99312)),x99313))) % 183.16/183.18 [5631]~P72(x56311)+E(f333(f333(f22(x56311),f333(f333(f79(x56311),x56312),x56313)),x56313),x56312) % 183.16/183.18 [5632]~P72(x56321)+E(f333(f333(f79(x56321),f333(f333(f22(x56321),x56322),x56323)),x56323),x56322) % 183.16/183.18 [5851]~P72(x58511)+E(f333(f333(f79(x58511),x58512),f333(f333(f79(x58511),f333(f78(x58511),x58512)),x58513)),x58513) % 183.16/183.18 [5934]~P77(x59341)+E(f333(f333(f80(x59341),f333(f333(f258(x59341),x59342),x59343)),x59342),f333(f333(f258(x59341),x59342),f333(a115,x59343))) % 183.16/183.18 [5935]~P109(x59351)+E(f333(f333(f80(x59351),f333(f333(f258(x59351),x59352),x59353)),x59352),f333(f333(f258(x59351),x59352),f333(a115,x59353))) % 183.16/183.18 [6147]~P114(x61471)+E(f333(f74(x61471),f333(f333(f258(x61471),f333(f78(x61471),x61472)),x61473)),f333(f74(x61471),f333(f333(f258(x61471),x61472),x61473))) % 183.16/183.18 [6201]~P77(x62011)+E(f333(f333(f80(x62011),f333(f333(f258(x62011),x62012),x62013)),x62012),f333(f333(f80(x62011),x62012),f333(f333(f258(x62011),x62012),x62013))) % 183.16/183.18 [6255]E(f333(f333(f22(a102),f333(f333(f79(a102),x62551),x62552)),x62553),f283(x62551,x62552,x62553))+~P23(f333(f333(f248(a102),x62552),x62553)) % 183.16/183.18 [6276]~E(f333(f333(f139(x62761),x62763),x62762),f116(x62761))+P23(f333(f333(f247(a875),f333(f197(f876(x62761)),x62762)),x62763)) % 183.16/183.18 [6409]E(f333(f333(f80(a875),f333(f106(a875),x64091)),f333(f333(f80(a875),f333(f106(a875),x64092)),x64093)),f2(a875))+~P23(f333(f333(f248(a1),x64091),a82)) % 183.16/183.18 [6425]~P58(x64251)+E(f333(f333(f258(x64251),f333(f333(f291(x64251),f77(x64251)),x64252)),x64253),f333(f333(f291(x64251),f77(x64251)),f333(f333(f258(x64251),x64252),x64253))) % 183.16/183.18 [6501]E(f333(f333(f22(a875),f333(f333(f79(a875),x65011),x65012)),x65013),f333(f333(f22(a875),x65011),f333(f333(f22(a875),x65013),x65012)))+~P23(f333(f333(f247(a875),x65012),x65013)) % 183.16/183.18 [6503]E(f333(f333(f22(a875),f333(f333(f79(a875),x65031),x65032)),x65033),f333(f333(f79(a875),x65031),f333(f333(f22(a875),x65032),x65033)))+~P23(f333(f333(f247(a875),x65033),x65032)) % 183.16/183.18 [6538]~P62(x65381)+P23(f333(f333(f247(x65381),f333(f333(f104(x65381),x65382),x65383)),x65383)) % 183.16/183.18 [6539]~P99(x65391)+P23(f333(f333(f247(x65391),f333(f333(f104(x65391),x65392),x65393)),x65393)) % 183.16/183.18 [6540]~P62(x65401)+P23(f333(f333(f247(x65401),f333(f333(f104(x65401),x65402),x65403)),x65402)) % 183.16/183.18 [6541]~P99(x65411)+P23(f333(f333(f247(x65411),f333(f333(f104(x65411),x65412),x65413)),x65412)) % 183.16/183.18 [6542]~P106(x65421)+P23(f333(f333(f247(x65421),f333(f333(f245(x65421),x65422),x65423)),x65423)) % 183.16/183.18 [6543]~P106(x65431)+P23(f333(f333(f247(x65431),f333(f333(f245(x65431),x65432),x65433)),x65432)) % 183.16/183.18 [6557]E(f333(f333(f38(a1),f333(f333(f38(a1),x65571),x65572)),x65573),f333(f333(f38(a1),x65571),f333(f333(f80(a1),x65572),x65573)))+~P23(f333(f333(f248(a1),f2(a1)),x65573)) % 183.16/183.18 [6609]~P109(x66091)+E(f333(f333(f79(x66091),f333(f333(f80(x66091),x66092),x66093)),x66093),f333(f333(f80(x66091),f333(f333(f79(x66091),x66092),f77(x66091))),x66093)) % 183.16/183.18 [6610]~P90(x66101)+E(f333(f333(f80(x66101),f333(f78(x66101),f333(f106(x66101),x66102))),x66103),f333(f333(f80(x66101),f333(f106(x66101),f333(f78(a1),x66102))),x66103)) % 183.16/183.18 [6682]~P78(x66821)+E(f333(f167(x66821),f333(f333(f155(x66822,x66821),f333(f16(x66821,x66822),f2(x66821))),x66823)),f2(x66821)) % 183.16/183.18 [6698]E(f333(f333(f79(a875),f333(f106(a875),x66981)),f333(f333(f79(a875),f333(f106(a875),x66982)),x66983)),f333(f333(f79(a875),f333(f106(a875),x66982)),x66983))+~P23(f333(a201,f333(f106(a1),x66981))) % 183.16/183.18 [6712]~P26(x67121)+E(f40(x67121,f333(f333(f311(x67121),x67122),f333(f333(f311(x67121),x67123),f196(f882(x67121,a870))))),f333(f333(f104(x67121),x67122),x67123)) % 183.16/183.18 [6713]~P26(x67131)+E(f39(x67131,f333(f333(f311(x67131),x67132),f333(f333(f311(x67131),x67133),f196(f882(x67131,a870))))),f333(f333(f113(x67131),x67132),x67133)) % 183.16/183.18 [6736]E(f333(f333(f177(x67361),x67362),x67363),x67363)+~P23(f333(f333(f247(a875),f333(f197(f876(x67361)),x67363)),x67362)) % 183.16/183.18 [6749]E(f333(f333(f139(x67491),x67492),x67493),f116(x67491))+~P23(f333(f333(f247(a875),f333(f197(f876(x67491)),x67493)),x67492)) % 183.16/183.18 [6760]E(f333(f333(f79(a875),f333(f333(f22(a875),x67601),x67602)),x67603),f333(f333(f22(a875),f333(f333(f79(a875),x67601),x67603)),x67602))+~P23(f333(f333(f247(a875),x67602),x67601)) % 183.16/183.18 [6774]~P23(f333(f333(f248(a875),x67741),x67743))+P23(f333(f333(f248(a875),f333(f333(f22(a875),x67741),x67742)),x67743)) % 183.16/183.18 [6802]~P106(x68021)+E(f172(x68021,x68022,f333(f333(f149(x68021,x68021,f5(x68021)),x68022),x68023)),x68023) % 183.16/183.18 [6891]E(f333(f333(f22(a875),f333(f333(f79(a875),x68911),x68912)),f333(a115,x68913)),f333(f333(f22(a875),x68911),f333(a115,f333(f333(f22(a875),x68913),x68912))))+~P23(f333(f333(f247(a875),x68912),x68913)) % 183.16/183.18 [6892]~P114(x68921)+P23(f333(f333(f247(x68921),f2(x68921)),f333(f333(f258(x68921),f333(f74(x68921),x68922)),x68923))) % 183.16/183.18 [6939]P19(x69391,x69392,x69393)+~P23(f333(f333(f247(f882(f874(x69391),a870)),x69393),x69392)) % 183.16/183.18 [6982]~P23(f333(f61(x69821),x69822))+P23(f333(f61(x69821),f333(f333(f22(f882(x69821,a870)),x69822),x69823))) % 183.16/183.18 [6983]~P23(f333(f61(x69831),x69833))+P23(f333(f61(x69831),f333(f333(f104(f882(x69831,a870)),x69832),x69833))) % 183.16/183.18 [6984]~P23(f333(f61(x69841),x69842))+P23(f333(f61(x69841),f333(f333(f104(f882(x69841,a870)),x69842),x69843))) % 183.16/183.18 [7125]~P37(x71251,x71253)+P37(x71251,f333(f333(f104(f882(f881(x71251,x71251),a870)),x71252),x71253)) % 183.16/183.18 [7126]~P37(x71261,x71262)+P37(x71261,f333(f333(f104(f882(f881(x71261,x71261),a870)),x71262),x71263)) % 183.16/183.18 [7241]~P62(x72411)+E(f13(x72411,f333(f174(x72411),f333(f333(f152(x72411),x72412),x72413))),f333(f143(x72411,x72411,f113(x72411),x72412),x72413)) % 183.16/183.18 [7242]~P62(x72421)+E(f10(x72421,f333(f174(x72421),f333(f333(f152(x72421),x72422),x72423))),f333(f143(x72421,x72421,f104(x72421),x72422),x72423)) % 183.16/183.18 [7243]~P106(x72431)+E(f14(x72431,f333(f174(x72431),f333(f333(f152(x72431),x72432),x72433))),f333(f143(x72431,x72431,f245(x72431),x72432),x72433)) % 183.16/183.18 [7244]~P106(x72441)+E(f15(x72441,f333(f174(x72441),f333(f333(f152(x72441),x72442),x72443))),f333(f143(x72441,x72441,f246(x72441),x72442),x72443)) % 183.16/183.18 [7304]~P23(f333(f61(x73041),x73042))+P23(f333(f333(f247(a875),f333(f37(x73041),x73042)),f333(f37(x73041),f333(f333(f311(x73041),x73043),x73042)))) % 183.16/183.18 [7312]E(f333(f333(f113(f882(a875,a870)),f333(f303(a875,x73121),x73122)),f333(f303(a875,x73122),f333(f333(f79(a875),x73122),x73123))),f333(f303(a875,x73121),f333(f333(f79(a875),x73122),x73123)))+~P23(f333(f333(f247(a875),x73121),x73122)) % 183.16/183.18 [7320]P23(f333(f333(f248(a875),x73201),x73202))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),x73201),x73203)),x73202)) % 183.16/183.18 [7323]P23(f333(f333(f247(a875),x73231),x73232))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x73233),x73231)),x73232)) % 183.16/183.18 [7324]P23(f333(f333(f247(a875),x73241),x73242))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x73241),x73243)),x73242)) % 183.16/183.18 [7366]~P106(x73661)+E(f11(x73661,f245(x73661),f333(f174(x73661),f333(f333(f152(x73661),x73662),x73663))),f333(f143(x73661,x73661,f245(x73661),x73662),x73663)) % 183.16/183.18 [7367]~P106(x73671)+E(f12(x73671,f246(x73671),f333(f174(x73671),f333(f333(f152(x73671),x73672),x73673))),f333(f143(x73671,x73671,f246(x73671),x73672),x73673)) % 183.16/183.18 [7371]~E(x73712,f196(f882(f881(x73711,x73711),a870)))+P23(f333(f333(f247(f882(f881(x73711,x73711),a870)),x73712),x73713)) % 183.16/183.18 [7481]E(f333(f333(f113(f882(x74811,a870)),x74812),f333(f333(f22(f882(x74811,a870)),x74813),x74812)),x74813)+~P23(f333(f333(f247(f882(x74811,a870)),x74812),x74813)) % 183.16/183.18 [7482]~P23(f333(f333(f248(a875),x74821),f333(f333(f22(a875),x74823),x74822)))+P23(f333(f333(f248(a875),f333(f333(f79(a875),x74821),x74822)),x74823)) % 183.16/183.18 [7483]~P23(f333(f333(f247(a875),x74831),f333(f333(f79(a875),x74833),x74832)))+P23(f333(f333(f247(a875),f333(f333(f22(a875),x74831),x74832)),x74833)) % 183.16/183.18 [7540]E(x75401,f116(x75402))+E(f333(f142(x75402),f333(f333(f333(f191(f876(x75402),f876(x75402)),x75403),f169(x75402)),x75401)),f333(f333(f166(x75402),x75401),f44(a875,x75403,f333(f197(f876(x75402)),x75401)))) % 183.16/183.18 [7549]E(f333(f333(f311(x75491),x75492),f333(f333(f22(f882(x75491,a870)),x75493),f333(f333(f311(x75491),x75492),f196(f882(x75491,a870))))),x75493)+~P23(f333(f333(f335(x75491),x75492),x75493)) % 183.16/183.18 [7712]P23(f333(f333(f248(a875),x77121),f333(f333(f22(a875),x77122),x77123)))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),x77121),x77123)),x77122)) % 183.16/183.18 [7713]P23(f333(f333(f247(a875),x77131),f333(f333(f79(a875),x77132),x77133)))+~P23(f333(f333(f247(a875),f333(f333(f22(a875),x77131),x77133)),x77132)) % 183.16/183.18 [7736]P23(f333(f61(x77361),x77362))+~P23(f333(f61(x77361),f333(f333(f113(f882(x77361,a870)),x77363),x77362))) % 183.16/183.18 [7737]P23(f333(f61(x77371),x77372))+~P23(f333(f61(x77371),f333(f333(f113(f882(x77371,a870)),x77372),x77373))) % 183.16/183.18 [7815]~P45(x78151,x78153)+P23(f333(f333(f335(f881(x78151,x78151)),f333(f333(f268(x78151,x78151),x78152),x78152)),x78153)) % 183.16/183.18 [7949]E(f333(f333(f166(a875),f140(a875,f333(f303(a875,x79491),x79492))),x79493),f333(f333(f79(a875),x79491),x79493))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),x79491),x79493)),x79492)) % 183.16/183.18 [8018]~P23(f333(f333(f202(f333(a25,x80181)),x80182),x80183))+P23(f333(f333(f202(f333(f244(a871),f333(a27,x80181))),x80182),x80183)) % 183.16/183.18 [8023]E(f333(f333(f177(a875),x80231),f140(a875,f333(f303(a875,x80232),x80233))),f140(a875,f333(f303(a875,x80232),f333(f333(f79(a875),x80232),x80231))))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x80232),x80231)),x80233)) % 183.16/183.18 [8076]~P90(x80761)+E(f333(f333(f258(x80761),x80762),f333(f106(a875),f333(f333(f79(a1),x80763),x80763))),f333(f333(f85(x80761,x80761),f333(f333(f258(x80761),x80762),f333(f106(a875),x80763))),f333(f333(f18(x80761,x80761,x80761),f80(x80761)),f5(x80761)))) % 183.16/183.18 [8286]P23(f333(f333(f202(f333(a25,x82861)),x82862),x82863))+~P23(f333(f333(f202(f333(f244(a871),f333(a27,x82861))),x82862),x82863)) % 183.16/183.18 [8346]E(f333(f333(f135(x83461),f333(f333(f177(x83461),x83462),x83463)),f333(f333(f152(x83461),f333(f333(f166(x83461),x83463),x83462)),f333(f333(f139(x83461),f333(a115,x83462)),x83463))),x83463)+~P23(f333(f333(f248(a875),x83462),f333(f197(f876(x83461)),x83463))) % 183.16/183.18 [8353]P23(f333(f333(f247(f882(x83531,a870)),f321(x83531,x83532)),f321(x83531,x83533)))+~P23(f333(f333(f247(f882(x83531,f882(x83531,a870))),x83533),x83532)) % 183.16/183.18 [8355]~P50(x83551,x83552,x83553)+P50(x83551,x83552,f333(f333(f22(f882(f881(x83551,x83551),a870)),x83553),f309(x83551,f196(f882(f881(x83551,x83551),a870))))) % 183.16/183.18 [8372]P23(f333(f333(f247(f882(x83721,a870)),f322(x83721,x83722)),f322(x83721,x83723)))+~P23(f333(f333(f247(f882(f881(x83721,x83721),a870)),x83723),x83722)) % 183.16/183.18 [8379]~P121(x83791)+P23(f333(f333(f247(x83791),f2(x83791)),f333(f333(f79(x83791),f333(f333(f80(x83791),x83792),x83792)),f333(f333(f80(x83791),x83793),x83793)))) % 183.16/183.18 [8415]P23(f333(f333(f247(f882(x84151,a870)),f333(f286(x84151),x84152)),f333(f286(x84151),x84153)))+~P23(f333(f333(f247(f882(f881(x84151,x84151),a870)),x84152),x84153)) % 183.16/183.18 [8449]~P41(x84491,x84492)+~P23(f333(f333(f335(f881(x84491,x84491)),f333(f333(f268(x84491,x84491),x84493),x84493)),x84492)) % 183.16/183.18 [8451]~P37(x84511,x84512)+~P23(f333(f333(f335(f881(x84511,x84511)),f333(f333(f268(x84511,x84511),x84513),x84513)),x84512)) % 183.16/183.18 [8512]P23(f333(f333(f247(f882(x85121,a870)),f40(f882(x85121,a870),x85122)),f40(f882(x85121,a870),x85123)))+~P23(f333(f333(f247(f882(f882(x85121,a870),a870)),x85123),x85122)) % 183.16/183.18 [8513]P23(f333(f333(f247(f882(x85131,a870)),f39(f882(x85131,a870),x85132)),f39(f882(x85131,a870),x85133)))+~P23(f333(f333(f247(f882(f882(x85131,a870),a870)),x85132),x85133)) % 183.16/183.18 [8565]~P3(x85651,x85653,x85652)+P23(f333(f333(f247(f882(f881(x85651,x85651),a870)),x85652),f333(f333(f270(x85651,x85651),x85653),f333(f16(f882(x85651,a870),x85651),x85653)))) % 183.16/183.18 [8566]~P39(x85661,x85663,x85662)+P23(f333(f333(f247(f882(f881(x85661,x85661),a870)),x85662),f333(f333(f270(x85661,x85661),x85663),f333(f16(f882(x85661,a870),x85661),x85663)))) % 183.16/183.18 [8611]~P83(x86111)+P23(f333(f333(f247(x86111),f333(f333(f22(x86111),f333(f74(x86111),x86112)),f333(f74(x86111),x86113))),f333(f74(x86111),f333(f333(f22(x86111),x86113),x86112)))) % 183.16/183.18 [8612]~P83(x86121)+P23(f333(f333(f247(x86121),f333(f333(f22(x86121),f333(f74(x86121),x86122)),f333(f74(x86121),x86123))),f333(f74(x86121),f333(f333(f22(x86121),x86122),x86123)))) % 183.16/183.18 [8642]P23(f333(f333(f247(f882(f881(x86421,x86421),a870)),f309(x86421,x86422)),f309(x86421,x86423)))+~P23(f333(f333(f247(f882(f881(x86421,x86421),a870)),x86422),x86423)) % 183.16/183.18 [8797]P50(x87971,x87972,x87973)+~P50(x87971,x87972,f333(f333(f22(f882(f881(x87971,x87971),a870)),x87973),f309(x87971,f196(f882(f881(x87971,x87971),a870))))) % 183.16/183.18 [8816]P23(f333(f333(f247(f882(f881(f876(x88161),f876(x88161)),a870)),f158(x88161,x88162)),f158(x88161,x88163)))+~P23(f333(f333(f247(f882(f881(x88161,x88161),a870)),x88162),x88163)) % 183.16/183.18 [8817]P23(f333(f333(f247(f882(f881(f876(x88171),f876(x88171)),a870)),f159(x88171,x88172)),f159(x88171,x88173)))+~P23(f333(f333(f247(f882(f881(x88171,x88171),a870)),x88172),x88173)) % 183.16/183.18 [8836]~P39(x88361,x88363,x88362)+P23(f333(f333(f247(f882(f881(x88361,x88361),a870)),x88362),f333(f333(f290(x88361,x88361,x88361),f333(f288(x88361,x88361),x88362)),x88362))) % 183.16/183.18 [8885]~P23(f333(f138(x88851),x88852))+E(f333(f137(x88851,f333(f333(f7(x88851,f882(x88851,a870),a870),f335(x88851)),f333(f174(x88851),f178(x88851,x88852,x88853)))),x88852),f178(x88851,x88852,x88853)) % 183.16/183.18 [8950]E(x89501,x89502)+~P23(f333(f333(f335(f881(x89503,x89503)),f333(f333(f268(x89503,x89503),x89501),x89502)),f309(x89503,f196(f882(f881(x89503,x89503),a870))))) % 183.16/183.18 [9035]P23(f333(f333(f335(x90351),x90352),f322(x90351,x90353)))+P23(f333(f333(f335(f881(x90351,x90351)),f333(f333(f268(x90351,x90351),f557(x90353,x90352,x90351)),x90352)),x90353)) % 183.16/183.18 [9036]P23(f333(f333(f335(x90361),x90362),f322(x90361,x90363)))+P23(f333(f333(f335(f881(x90361,x90361)),f333(f333(f268(x90361,x90361),f617(x90363,x90362,x90361)),x90362)),x90363)) % 183.16/183.18 [9037]P23(f333(f333(f335(x90371),x90372),f322(x90371,x90373)))+P23(f333(f333(f335(f881(x90371,x90371)),f333(f333(f268(x90371,x90371),f619(x90373,x90372,x90371)),x90372)),x90373)) % 183.16/183.18 [9123]~P23(f333(f333(f335(f876(x91231)),x91233),f162(x91231,x91232)))+P23(f333(f161(x91231,f333(f333(f7(x91231,f882(x91231,a870),a870),f335(x91231)),x91232)),x91233)) % 183.16/183.18 [9144]P23(f333(x91443,x91442))+E(f333(f253(x91441),f333(f333(f18(x91441,a870,a870),f333(f333(f8(a870,f882(a870,a870),x91441),a331),f333(a330,x91442))),x91443)),f196(f882(x91441,a870))) % 183.16/183.18 [9165]~P83(x91651)+P23(f333(f333(f247(x91651),f333(f74(x91651),f333(f333(f22(x91651),f333(f74(x91651),x91652)),f333(f74(x91651),x91653)))),f333(f74(x91651),f333(f333(f22(x91651),x91652),x91653)))) % 183.16/183.18 [9179]~P23(f333(x91793,x91792))+E(f333(f253(x91791),f333(f333(f18(x91791,a870,a870),f333(f333(f8(a870,f882(a870,a870),x91791),a331),f333(a330,x91792))),x91793)),f333(f333(f311(x91791),x91792),f196(f882(x91791,a870)))) % 183.16/183.18 [9186]~P23(f333(f333(f335(f882(x91861,a870)),x91863),f333(f310(x91861),x91862)))+P23(f333(f261(x91861,f333(f333(f7(x91861,f882(x91861,a870),a870),f335(x91861)),x91862)),x91863)) % 183.16/183.18 [9219]P37(x92191,x92192)+P23(f333(f333(f335(f881(x92191,x92191)),f333(f333(f268(x92191,x92191),f333(f566(x92192,x92191),f333(a115,x92193))),f333(f566(x92192,x92191),x92193))),x92192)) % 183.16/183.18 [9360]P23(f333(f333(f335(f876(x93601)),x93602),f162(x93601,x93603)))+~P23(f333(f161(x93601,f333(f333(f7(x93601,f882(x93601,a870),a870),f335(x93601)),x93603)),x93602)) % 183.16/183.18 [9373]P23(f333(f333(f335(f882(x93731,a870)),x93732),f333(f310(x93731),x93733)))+~P23(f333(f261(x93731,f333(f333(f7(x93731,f882(x93731,a870),a870),f335(x93731)),x93733)),x93732)) % 183.16/183.18 [9430]P23(f333(f333(f335(x94301),f333(f279(x94301,x94302),x94303)),f333(f174(x94301),f333(f333(f155(f881(a102,x94301),x94301),f271(a102,x94301)),x94302))))+~P23(f333(f333(f248(a102),x94303),f333(f167(a102),f333(f333(f155(f881(a102,x94301),a102),f267(a102,x94301)),x94302)))) % 183.16/183.18 [9478]P23(f333(f333(f247(f882(f881(f876(x94781),f876(x94781)),a870)),f159(x94781,x94782)),f333(f333(f270(f876(x94781),f876(x94781)),f162(x94781,x94783)),f333(f16(f882(f876(x94781),a870),f876(x94781)),f162(x94781,x94783)))))+~P23(f333(f333(f247(f882(f881(x94781,x94781),a870)),x94782),f333(f333(f270(x94781,x94781),x94783),f333(f16(f882(x94781,a870),x94781),x94783)))) % 183.16/183.18 [9499]P23(f333(f333(f335(x94991),f333(f267(x94991,f881(a102,a102)),f333(f277(x94991,x94992),x94993))),f333(f174(x94991),f333(f333(f155(f881(a102,x94991),x94991),f271(a102,x94991)),x94992))))+~P23(f333(f333(f248(a102),f2(a102)),f333(f167(a102),f333(f333(f155(f881(a102,x94991),a102),f267(a102,x94991)),x94992)))) % 183.16/183.18 [9516]~P23(f333(f333(f247(f882(f881(x95161,x95161),a870)),x95162),f333(f333(f270(x95161,x95161),x95163),f333(f16(f882(x95161,a870),x95161),x95163))))+P23(f333(f333(f247(f882(f881(x95161,x95161),a870)),f333(f333(f290(x95161,x95161,x95161),x95162),f309(x95161,x95162))),f333(f333(f270(x95161,x95161),x95163),f333(f16(f882(x95161,a870),x95161),x95163)))) % 183.16/183.18 [9818]~P37(x98181,x98182)+~P23(f333(f333(f335(f881(x98181,x98181)),f333(f333(f268(x98181,x98181),f333(x98183,f333(a115,f567(x98182,x98181,x98183)))),f333(x98183,f567(x98182,x98181,x98183)))),x98182)) % 183.16/183.18 [9819]~P37(x98191,x98192)+~P23(f333(f333(f335(f881(x98191,x98191)),f333(f333(f268(x98191,x98191),f333(x98193,f333(a115,f623(x98193,x98192,x98191)))),f333(x98193,f623(x98193,x98192,x98191)))),x98192)) % 183.16/183.18 [10072]P23(f333(f333(f247(f882(f881(f882(x100721,a870),f882(x100721,a870)),a870)),f333(f333(f290(f882(x100721,a870),f882(x100721,a870),f882(x100721,a870)),f324(x100721,x100722)),f333(f333(f113(f882(f881(f882(x100721,a870),f882(x100721,a870)),a870)),f324(x100721,x100723)),f333(f333(f311(f881(f882(x100721,a870),f882(x100721,a870))),f333(f333(f268(f882(x100721,a870),f882(x100721,a870)),f196(f882(x100721,a870))),f196(f882(x100721,a870)))),f196(f882(f881(f882(x100721,a870),f882(x100721,a870)),a870)))))),f324(x100721,x100722)))+~P23(f333(f333(f247(f882(f881(x100721,x100721),a870)),f333(f333(f290(x100721,x100721,x100721),x100722),x100723)),x100722)) % 183.16/183.18 [10073]P23(f333(f333(f247(f882(f881(f882(x100731,a870),f882(x100731,a870)),a870)),f333(f333(f290(f882(x100731,a870),f882(x100731,a870),f882(x100731,a870)),f325(x100731,x100732)),f333(f333(f113(f882(f881(f882(x100731,a870),f882(x100731,a870)),a870)),f325(x100731,x100733)),f333(f333(f311(f881(f882(x100731,a870),f882(x100731,a870))),f333(f333(f268(f882(x100731,a870),f882(x100731,a870)),f196(f882(x100731,a870))),f196(f882(x100731,a870)))),f196(f882(f881(f882(x100731,a870),f882(x100731,a870)),a870)))))),f325(x100731,x100732)))+~P23(f333(f333(f247(f882(f881(x100731,x100731),a870)),f333(f333(f290(x100731,x100731,x100731),x100732),x100733)),x100732)) % 183.16/183.18 [7240]~P23(f333(f333(f247(a875),x72402),x72401))+E(f333(f333(f22(a875),f333(a115,f333(f333(f22(a875),x72401),x72402))),x72403),f333(f333(f22(a875),f333(a115,x72401)),f333(f333(f79(a875),x72402),x72403))) % 183.16/183.18 [7279]~P55(x72791)+E(f333(f333(f79(x72791),f44(x72791,x72792,x72793)),f333(f333(f80(x72791),f333(f333(f38(x72791),x72792),x72793)),x72793)),x72792) % 183.16/183.18 [7487]E(f333(f333(f80(a875),f333(f106(a875),x74871)),f333(f333(f80(a875),f333(f106(a875),x74872)),x74873)),f333(f333(f80(a875),f333(f106(a875),f333(f333(f80(a1),x74871),x74872))),x74873))+P23(f333(f333(f248(a1),x74871),a82)) % 183.16/183.18 [7958]~P23(f333(f333(f247(a875),x79583),x79582))+P23(f333(f333(f247(a875),x79581),f333(f333(f22(a875),f333(f333(f79(a875),x79582),x79581)),x79583))) % 183.16/183.18 [8166]~P23(f333(f333(f247(a875),x81661),x81662))+E(f333(f333(f135(a875),f140(a875,f333(f303(a875,x81661),x81662))),f140(a875,f333(f303(a875,x81662),f333(f333(f79(a875),x81662),x81663)))),f140(a875,f333(f303(a875,x81661),f333(f333(f79(a875),x81662),x81663)))) % 183.16/183.18 [8425]~P23(f333(f61(x84251),x84252))+E(f333(a115,f333(f37(x84251),f333(f333(f22(f882(x84251,a870)),x84252),f333(f333(f311(x84251),x84253),f196(f882(x84251,a870)))))),f333(f37(x84251),f333(f333(f311(x84251),x84253),x84252))) % 183.16/183.18 [8472]~P23(f333(f61(x84721),x84722))+E(f333(f333(f79(a875),f77(a875)),f333(f37(x84721),f333(f333(f22(f882(x84721,a870)),x84722),f333(f333(f311(x84721),x84723),f196(f882(x84721,a870)))))),f333(f37(x84721),f333(f333(f311(x84721),x84723),x84722))) % 183.16/183.18 [8651]E(f333(f333(f22(a875),f333(f37(x86511),x86512)),f333(f37(x86511),f333(f333(f104(f882(x86511,a870)),x86512),x86513))),f333(f37(x86511),f333(f333(f22(f882(x86511,a870)),x86512),x86513)))+~P23(f333(f61(x86511),f333(f333(f104(f882(x86511,a870)),x86512),x86513))) % 183.16/183.18 [8881]~P27(f333(x88812,f415(x88812,x88813,x88811)))+E(f333(f103(a1),f333(f333(f6(x88811,a875),f333(f333(f8(a1,a875,x88811),a107),x88812)),x88813)),f333(f333(f6(x88811,a1),x88812),x88813)) % 183.16/183.18 [8882]~P27(f333(x88822,f416(x88822,x88823,x88821)))+E(f333(f103(a1),f333(f333(f9(x88821,a875),f333(f333(f8(a1,a875,x88821),a107),x88822)),x88823)),f333(f333(f9(x88821,a1),x88822),x88823)) % 183.16/183.18 [8932]~P23(f333(f61(x89321),x89323))+P23(f333(f333(f247(a875),f333(f333(f22(a875),f333(f37(x89321),x89322)),f333(f37(x89321),x89323))),f333(f37(x89321),f333(f333(f22(f882(x89321,a870)),x89322),x89323)))) % 183.16/183.18 [8958]P23(f333(f333(f335(x89581),f415(x89582,x89583,x89581)),x89583))+E(f333(f103(a1),f333(f333(f6(x89581,a875),f333(f333(f8(a1,a875,x89581),a107),x89582)),x89583)),f333(f333(f6(x89581,a1),x89582),x89583)) % 183.16/183.18 [8959]P23(f333(f333(f335(x89591),f416(x89592,x89593,x89591)),x89593))+E(f333(f103(a1),f333(f333(f9(x89591,a875),f333(f333(f8(a1,a875,x89591),a107),x89592)),x89593)),f333(f333(f9(x89591,a1),x89592),x89593)) % 183.16/183.18 [9027]E(f84(x90271,f333(f333(f7(x90271,f882(x90271,a870),a870),f335(x90271)),f333(f333(f22(f882(x90271,a870)),x90272),f333(f333(f311(x90271),x90273),f196(f882(x90271,a870)))))),f260(x90271,x90273,x90272))+P23(f333(f333(f247(f882(x90271,a870)),x90272),f333(f333(f311(x90271),x90273),f196(f882(x90271,a870))))) % 183.16/183.18 [9374]E(f333(f333(f155(f876(x93741),x93741),f333(f333(f7(f876(x93741),a875,x93741),f166(x93741)),x93742)),f333(f137(f876(x93741),f333(f333(f8(a875,a870,f876(x93741)),f333(f248(a875),x93742)),f197(f876(x93741)))),x93743)),f333(f333(f166(f876(x93741)),f182(x93741,x93743)),x93742))+~P23(f333(f333(f248(a875),x93742),f333(f197(f876(f876(x93741))),f182(x93741,x93743)))) % 183.16/183.18 [9447]E(f333(f137(x94471,x94472),x94473),f179(x94471,x94472,x94473))+P23(f333(f333(f335(x94471),f756(x94473,x94472,x94471)),f333(f174(x94471),f333(f333(f139(x94471),f333(f197(f876(x94471)),f179(x94471,x94472,x94473))),x94473)))) % 183.16/183.18 [9587]E(f333(f333(f139(x95871),f333(f197(f876(x95871)),f179(x95871,x95872,x95873))),x95873),f116(x95871))+~P23(f333(x95872,f333(f142(x95871),f333(f333(f139(x95871),f333(f197(f876(x95871)),f179(x95871,x95872,x95873))),x95873)))) % 183.16/183.18 [9680]~P23(f333(f333(f335(f881(x96801,x96801)),x96802),f309(x96801,x96803)))+P23(f333(f333(f335(f881(x96801,x96801)),x96802),f333(f333(f41(a875,f882(f881(x96801,x96801),a870)),f256(f882(a875,a870))),f333(f333(f7(a875,f882(f881(x96801,x96801),a870),f882(f881(x96801,x96801),a870)),f191(f881(x96801,x96801),a870)),x96803)))) % 183.16/183.18 [9736]~P23(f333(f333(f247(f882(x97361,a870)),f333(f333(f41(a875,f882(x97361,a870)),f333(f303(a875,f2(a875)),f393(x97363,x97362,x97361))),x97362)),x97363))+P23(f333(f333(f247(f882(x97361,a870)),f333(f333(f41(a875,f882(x97361,a870)),f256(f882(a875,a870))),x97362)),x97363)) % 183.16/183.18 [9794]~P23(f333(f333(f248(a1),f2(a1)),x97943))+P23(f333(f333(f248(a1),x97941),f333(f333(f79(a1),x97942),f333(f333(f80(a1),f333(f333(f79(a1),f333(f74(a1),f333(f333(f22(a1),x97942),x97941))),f77(a1))),x97943)))) % 183.16/183.18 [9805]~P37(x98051,f333(f333(f113(f882(f881(x98051,x98051),a870)),x98052),x98053))+P37(x98051,f333(f333(f113(f882(f881(x98051,x98051),a870)),f333(f333(f113(f882(f881(x98051,x98051),a870)),f333(f333(f290(x98051,x98051,x98051),x98052),x98052)),f333(f333(f290(x98051,x98051,x98051),x98053),x98052))),x98053)) % 183.16/183.18 [9887]P37(x98871,f333(f333(f113(f882(f881(x98871,x98871),a870)),x98872),x98873))+~P37(x98871,f333(f333(f113(f882(f881(x98871,x98871),a870)),f333(f333(f113(f882(f881(x98871,x98871),a870)),f333(f333(f290(x98871,x98871,x98871),x98872),x98872)),f333(f333(f290(x98871,x98871,x98871),x98873),x98872))),x98873)) % 183.16/183.18 [9451]~P138(x94511)+E(f333(f105(x94511),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x94512),x94513)),f196(f882(f881(a875,a875),a870)))))),f333(f333(f22(x94511),f333(f103(x94511),x94512)),f333(f103(x94511),x94513))) % 183.16/183.18 [9534]P23(f333(x95343,x95342))+E(f333(f253(x95341),f333(f333(f18(x95341,a870,a870),f333(f333(f8(a870,f882(a870,a870),x95341),a331),f333(f333(f7(x95341,x95341,a870),a330),x95342))),x95343)),f196(f882(x95341,a870))) % 183.16/183.18 [9536]~P23(f333(x95363,x95362))+E(f333(f253(x95361),f333(f333(f18(x95361,a870,a870),f333(f333(f8(a870,f882(a870,a870),x95361),a331),f333(f333(f7(x95361,x95361,a870),a330),x95362))),x95363)),f333(f333(f311(x95361),x95362),f196(f882(x95361,a870)))) % 183.16/183.18 [9772]E(x97721,x97722)+P23(f333(f333(f257(x97723,x97723,f333(f333(f8(f882(x97723,a870),f882(x97723,a870),x97723),f333(f8(a870,a870,x97723),a328)),a330)),x97721),x97722)) % 183.16/183.18 [9865]~E(x98651,x98652)+~P23(f333(f333(f257(x98653,x98653,f333(f333(f8(f882(x98653,a870),f882(x98653,a870),x98653),f333(f8(a870,a870,x98653),a328)),a330)),x98651),x98652)) % 183.16/183.18 [9879]~P23(f333(f61(x98791),x98793))+E(f333(f333(f64(x98791,f882(x98791,a870),f333(f333(f8(f882(x98791,a870),f882(f882(x98791,a870),f882(x98791,a870)),x98791),f333(f7(f882(x98791,a870),f882(x98791,a870),f882(x98791,a870)),f22(f882(x98791,a870)))),f333(f333(f7(x98791,f882(x98791,a870),f882(x98791,a870)),f311(x98791)),f196(f882(x98791,a870))))),x98792),x98793),f333(f333(f22(f882(x98791,a870)),x98792),x98793)) % 183.16/183.18 [9911]~P23(f333(f333(f248(a1),f2(a1)),x99113))+P23(f333(f333(f248(a1),f333(f333(f22(a1),x99111),f333(f333(f80(a1),f333(f333(f79(a1),f333(f74(a1),f333(f333(f22(a1),x99111),x99112))),f77(a1))),x99113))),x99112)) % 183.16/183.18 [10134]~P23(f333(f333(f335(x101341),x101343),f322(x101341,x101342)))+P23(f333(f321(x101341,f333(f333(f7(x101341,f882(f881(x101341,x101341),a870),f882(x101341,a870)),f333(f333(f8(f882(x101341,f882(f882(f881(x101341,x101341),a870),a870)),f882(f882(f881(x101341,x101341),a870),f882(x101341,a870)),x101341),f7(x101341,f882(f881(x101341,x101341),a870),a870)),f333(f333(f8(f882(x101341,f881(x101341,x101341)),f882(x101341,f882(f882(f881(x101341,x101341),a870),a870)),x101341),f333(f8(f881(x101341,x101341),f882(f882(f881(x101341,x101341),a870),a870),x101341),f335(f881(x101341,x101341)))),f268(x101341,x101341)))),x101342)),x101343)) % 183.16/183.18 [10146]P23(f333(f333(f335(x101461),x101462),f322(x101461,x101463)))+~P23(f333(f321(x101461,f333(f333(f7(x101461,f882(f881(x101461,x101461),a870),f882(x101461,a870)),f333(f333(f8(f882(x101461,f882(f882(f881(x101461,x101461),a870),a870)),f882(f882(f881(x101461,x101461),a870),f882(x101461,a870)),x101461),f7(x101461,f882(f881(x101461,x101461),a870),a870)),f333(f333(f8(f882(x101461,f881(x101461,x101461)),f882(x101461,f882(f882(f881(x101461,x101461),a870),a870)),x101461),f333(f8(f881(x101461,x101461),f882(f882(f881(x101461,x101461),a870),a870),x101461),f335(f881(x101461,x101461)))),f268(x101461,x101461)))),x101463)),x101462)) % 183.16/183.18 [9734]~P23(f333(f61(x97341),f333(f253(x97341),x97343)))+P23(f333(f61(x97341),f333(f253(x97341),f333(f333(f18(x97341,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97341),a331),x97342)),x97343)))) % 183.16/183.18 [9735]~P23(f333(f61(x97351),f333(f253(x97351),x97352)))+P23(f333(f61(x97351),f333(f253(x97351),f333(f333(f18(x97351,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97351),a331),x97352)),x97353)))) % 183.16/183.18 [9837]P23(f333(f61(x98371),f333(f253(x98371),x98372)))+~P23(f333(f61(x98371),f333(f253(x98371),f333(f333(f18(x98371,a870,a870),f333(f333(f8(a870,f882(a870,a870),x98371),a332),x98373)),x98372)))) % 183.16/183.18 [9838]P23(f333(f61(x98381),f333(f253(x98381),x98382)))+~P23(f333(f61(x98381),f333(f253(x98381),f333(f333(f18(x98381,a870,a870),f333(f333(f8(a870,f882(a870,a870),x98381),a332),x98382)),x98383)))) % 183.16/183.18 [10121]~P23(f333(f61(x101211),x101212))+P23(f333(f61(f876(x101211)),f333(f253(f876(x101211)),f333(f333(f18(f876(x101211),a870,a870),f333(f333(f8(a870,f882(a870,a870),f876(x101211)),a331),f333(f333(f7(f876(x101211),f882(x101211,a870),a870),f333(f333(f8(f882(x101211,a870),f882(f882(x101211,a870),a870),f876(x101211)),f247(f882(x101211,a870))),f174(x101211))),x101212))),f333(f333(f7(f876(x101211),a875,a870),f333(f333(f8(a875,f882(a875,a870),f876(x101211)),a330),f197(f876(x101211)))),x101213))))) % 183.16/183.18 [10122]~P23(f333(f61(x101221),x101222))+P23(f333(f61(f876(x101221)),f333(f253(f876(x101221)),f333(f333(f18(f876(x101221),a870,a870),f333(f333(f8(a870,f882(a870,a870),f876(x101221)),a331),f333(f333(f7(f876(x101221),f882(x101221,a870),a870),f333(f333(f8(f882(x101221,a870),f882(f882(x101221,a870),a870),f876(x101221)),f247(f882(x101221,a870))),f174(x101221))),x101222))),f333(f333(f7(f876(x101221),a875,a870),f333(f333(f8(a875,f882(a875,a870),f876(x101221)),f247(a875)),f197(f876(x101221)))),x101223))))) % 183.16/183.18 [9852]~P109(x98521)+E(f333(f333(f258(x98521),x98522),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x98523)),f333(f333(f80(x98521),f333(f333(f258(x98521),x98522),x98523)),f333(f333(f258(x98521),x98522),x98523))) % 183.16/183.18 [9892]~P77(x98921)+E(f333(f333(f258(x98921),f333(f333(f258(x98921),x98922),x98923)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f258(x98921),x98922),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x98923))) % 183.16/183.18 [9938]~P138(x99381)+E(f333(f333(f258(x99381),f333(f78(x99381),x99382)),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99383)),f333(f333(f258(x99381),x99382),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99383))) % 183.16/183.18 [10079]~P114(x100791)+P23(f333(f333(f247(x100791),f2(x100791)),f333(f333(f79(x100791),f333(f333(f258(x100791),x100792),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x100791),x100793),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))) % 183.16/183.18 [9948]~P109(x99481)+E(f333(f333(f258(x99481),x99482),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99483))),f333(f333(f80(x99481),x99482),f333(f333(f80(x99481),f333(f333(f258(x99481),x99482),x99483)),f333(f333(f258(x99481),x99482),x99483)))) % 183.16/183.18 [9997]~P77(x99971)+E(f333(f333(f80(x99971),x99972),f333(f333(f258(x99971),f333(f333(f258(x99971),x99972),x99973)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x99971),x99972),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99973)))) % 183.16/183.18 [10036]~P114(x100361)+P23(f333(f333(f247(x100361),f2(x100361)),f333(f333(f258(x100361),x100362),f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x100363)))) % 183.16/183.18 [10102]~P90(x101021)+E(f333(f333(f22(x101021),f333(f333(f79(x101021),f333(f333(f258(x101021),x101022),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101021),x101023),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f333(f333(f80(x101021),f333(f333(f80(x101021),f333(f106(x101021),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x101022)),x101023)),f333(f333(f258(x101021),f333(f333(f22(x101021),x101022),x101023)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [10103]~P90(x101031)+E(f333(f333(f79(x101031),f333(f333(f79(x101031),f333(f333(f258(x101031),x101032),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101031),x101033),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f333(f333(f80(x101031),f333(f333(f80(x101031),f333(f106(x101031),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x101032)),x101033)),f333(f333(f258(x101031),f333(f333(f79(x101031),x101032),x101033)),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [10201]~P29(x102011,x102012,x102013)+P23(f98(x102011,a870,f333(f333(f8(f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,a870))),f882(a871,f882(f882(x102011,f882(a872,a870)),a870)),f882(x102011,f882(a872,a870))),f333(f8(f882(f882(x102011,f882(a872,a870)),f882(x102011,a870)),f882(f882(x102011,f882(a872,a870)),a870),a871),f333(f8(f882(x102011,a870),a870,f882(x102011,f882(a872,a870))),f87(x102011)))),f333(f333(f8(f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,a870))),f882(x102011,f882(a872,a870))),f333(f8(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,a870)),a871),f333(f8(f882(x102011,f882(a872,a870)),f882(x102011,a870),f882(x102011,f882(a872,a870))),f333(f8(f882(a872,a870),a870,x102011),f87(a872))))),f333(f333(f7(f882(x102011,f882(a872,a870)),f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))))),f333(f333(f8(f882(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f882(f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f882(a871,f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))))),f882(x102011,f882(a872,a870))),f8(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),a871)),f333(f333(f8(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f882(x102011,f882(a872,a870))),f8(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870)))),f333(f333(f8(f882(x102011,f882(f882(a872,a870),f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f882(x102011,f882(a872,a870))),f18(x102011,f882(a872,a870),f882(a872,a870))),f333(f333(f8(f882(x102011,f882(a872,f882(a870,a870))),f882(x102011,f882(f882(a872,a870),f882(a872,a870))),f882(x102011,f882(a872,a870))),f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),x102011),f18(a872,a870,a870))),f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),x102011),f333(f8(a870,f882(a870,a870),a872),a336))))))),f333(f333(f8(f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,f882(a872,a870)))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),a871),f333(f8(f882(x102011,f882(a872,f882(a872,a870))),f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,a870))),f333(f8(f882(a872,f882(a872,a870)),f882(a872,a870),x102011),f333(f8(f882(a872,a870),a870,a872),f87(a872))))),f333(f333(f8(f882(f882(a872,a870),f882(a872,f882(a872,a870))),f882(f882(x102011,f882(a872,a870)),f882(x102011,f882(a872,f882(a872,a870)))),a871),f8(f882(a872,a870),f882(a872,f882(a872,a870)),x102011)),f333(f333(f8(f882(a872,f882(f882(a872,a870),f882(a872,a870))),f882(f882(a872,a870),f882(a872,f882(a872,a870))),a871),f7(a872,f882(a872,a870),f882(a872,a870))),f333(f333(f8(f882(a872,f882(a872,f882(a870,a870))),f882(a872,f882(f882(a872,a870),f882(a872,a870))),a871),f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),a872),f18(a872,a870,a870))),f333(f333(f8(f882(a872,f882(a872,a870)),f882(a872,f882(a872,f882(a870,a870))),a871),f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),a872),f333(f8(a870,f882(a870,a870),a872),a336))),f333(f333(f7(a871,a875,f882(a872,f882(a872,a870))),f333(f333(f8(f882(a872,f882(a875,f882(a872,a870))),f882(a875,f882(a872,f882(a872,a870))),a871),f7(a872,a875,f882(a872,a870))),a204)),x102012))))))))),x102013)) % 183.16/183.18 [10203]P29(x102031,x102032,x102033)+~P23(f98(x102031,a870,f333(f333(f8(f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,a870))),f882(a871,f882(f882(x102031,f882(a872,a870)),a870)),f882(x102031,f882(a872,a870))),f333(f8(f882(f882(x102031,f882(a872,a870)),f882(x102031,a870)),f882(f882(x102031,f882(a872,a870)),a870),a871),f333(f8(f882(x102031,a870),a870,f882(x102031,f882(a872,a870))),f87(x102031)))),f333(f333(f8(f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,a870))),f882(x102031,f882(a872,a870))),f333(f8(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,a870)),a871),f333(f8(f882(x102031,f882(a872,a870)),f882(x102031,a870),f882(x102031,f882(a872,a870))),f333(f8(f882(a872,a870),a870,x102031),f87(a872))))),f333(f333(f7(f882(x102031,f882(a872,a870)),f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))))),f333(f333(f8(f882(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f882(f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f882(a871,f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))))),f882(x102031,f882(a872,a870))),f8(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),a871)),f333(f333(f8(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f882(x102031,f882(a872,a870))),f8(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870)))),f333(f333(f8(f882(x102031,f882(f882(a872,a870),f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f882(x102031,f882(a872,a870))),f18(x102031,f882(a872,a870),f882(a872,a870))),f333(f333(f8(f882(x102031,f882(a872,f882(a870,a870))),f882(x102031,f882(f882(a872,a870),f882(a872,a870))),f882(x102031,f882(a872,a870))),f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),x102031),f18(a872,a870,a870))),f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),x102031),f333(f8(a870,f882(a870,a870),a872),a336))))))),f333(f333(f8(f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,f882(a872,a870)))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),a871),f333(f8(f882(x102031,f882(a872,f882(a872,a870))),f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,a870))),f333(f8(f882(a872,f882(a872,a870)),f882(a872,a870),x102031),f333(f8(f882(a872,a870),a870,a872),f87(a872))))),f333(f333(f8(f882(f882(a872,a870),f882(a872,f882(a872,a870))),f882(f882(x102031,f882(a872,a870)),f882(x102031,f882(a872,f882(a872,a870)))),a871),f8(f882(a872,a870),f882(a872,f882(a872,a870)),x102031)),f333(f333(f8(f882(a872,f882(f882(a872,a870),f882(a872,a870))),f882(f882(a872,a870),f882(a872,f882(a872,a870))),a871),f7(a872,f882(a872,a870),f882(a872,a870))),f333(f333(f8(f882(a872,f882(a872,f882(a870,a870))),f882(a872,f882(f882(a872,a870),f882(a872,a870))),a871),f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),a872),f18(a872,a870,a870))),f333(f333(f8(f882(a872,f882(a872,a870)),f882(a872,f882(a872,f882(a870,a870))),a871),f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),a872),f333(f8(a870,f882(a870,a870),a872),a336))),f333(f333(f7(a871,a875,f882(a872,f882(a872,a870))),f333(f333(f8(f882(a872,f882(a875,f882(a872,a870))),f882(a875,f882(a872,f882(a872,a870))),a871),f7(a872,a875,f882(a872,a870))),a204)),x102032))))))))),x102033)) % 183.16/183.18 [4684]E(x46841,x46842)+~E(f32(x46843,x46841),f32(x46844,x46842)) % 183.16/183.18 [4685]E(x46851,x46852)+~E(f32(x46851,x46853),f32(x46852,x46854)) % 183.16/183.18 [4686]E(x46861,x46862)+~E(f31(x46863,x46861),f31(x46864,x46862)) % 183.16/183.18 [4687]E(x46871,x46872)+~E(f31(x46871,x46873),f31(x46872,x46874)) % 183.16/183.18 [7756]P20(x77561,x77562,x77563,x77564)+~E(f692(x77564,x77563,x77562,x77561),f693(x77564,x77563,x77562,x77561)) % 183.16/183.18 [8055]P34(x80551,x80552,x80553,x80554,f116(x80552))+~E(x80554,f116(x80551)) % 183.16/183.18 [8056]P34(x80561,x80562,x80563,f116(x80561),x80564)+~E(x80564,f116(x80562)) % 183.16/183.18 [8271]~P20(x82711,f879(x82712),x82714,f186(x82711,x82712,x82714))+P20(x82711,f879(x82712),f187(x82711,x82712,x82713,x82714),f186(x82711,x82712,x82714)) % 183.16/183.18 [8486]~P20(x84861,f879(x84862),f187(x84861,x84862,x84864,x84863),f186(x84861,x84862,x84863))+P20(x84861,f879(x84862),x84863,f186(x84861,x84862,x84863)) % 183.16/183.18 [8601]~P34(x86012,x86013,x86014,x86011,f116(x86013))+E(x86011,f116(x86012)) % 183.16/183.18 [8602]~P34(x86023,x86022,x86024,f116(x86023),x86021)+E(x86021,f116(x86022)) % 183.16/183.18 [5059]~P12(x50593,x50591,x50594)+E(f333(f333(x50591,x50592),x50592),x50592) % 183.16/183.18 [5307]P23(f333(x53072,x53074))+E(f333(f137(x53071,x53072),f171(x53071,x53073,x53074)),f116(x53071)) % 183.16/183.18 [5343]~E(x53434,f196(f882(x53431,a870)))+E(f333(f312(x53431,x53432,x53433),x53434),f196(f882(x53432,a870))) % 183.16/183.18 [5583]~P23(f333(x55832,x55834))+E(f333(f137(x55831,x55832),f171(x55831,x55833,x55834)),f171(x55831,x55833,x55834)) % 183.16/183.18 [5612]~E(f333(f312(x56122,x56123,x56124),x56121),f196(f882(x56123,a870)))+E(x56121,f196(f882(x56122,a870))) % 183.16/183.18 [5894]~P106(x58942)+E(f333(f333(f149(x58941,x58942,x58943),x58944),f116(x58941)),f333(f333(f152(x58941),x58944),f116(x58941))) % 183.16/183.18 [5930]E(f333(x59301,x59302),f209(x59303))+P23(f333(f333(f335(x59304),x59302),f186(x59304,x59303,x59301))) % 183.16/183.18 [6248]~E(x62481,f196(f882(x62482,a870)))+~P23(f333(f62(x62482,x62483,x62481),x62484)) % 183.16/183.18 [6270]~P53(x62701,x62703,x62704,x62702)+P23(f333(f61(x62701),x62702)) % 183.16/183.18 [6271]~P53(x62711,x62713,x62712,x62714)+P23(f333(f61(x62711),x62712)) % 183.16/183.18 [6277]~P53(x62772,x62773,x62774,x62771)+~E(x62771,f196(f882(x62772,a870))) % 183.16/183.18 [6308]~P108(x63081)+E(f333(f333(f104(f882(x63081,a870)),f333(f303(x63081,x63082),x63083)),f304(x63081,x63083,x63084)),f196(f882(x63081,a870))) % 183.16/183.18 [6335]~P23(f333(f333(x63353,x63354),x63352))+P23(f333(f333(f335(x63351),x63352),f294(x63351,x63353,x63354))) % 183.16/183.18 [6336]~P23(f333(f333(x63363,x63364),x63362))+P23(f333(f333(f335(x63361),x63362),f295(x63361,x63363,x63364))) % 183.16/183.18 [6337]~P23(f333(f333(x63373,x63372),x63374))+P23(f333(f333(f335(x63371),x63372),f296(x63371,x63373,x63374))) % 183.16/183.18 [6338]~P23(f333(f333(x63383,x63382),x63384))+P23(f333(f333(f335(x63381),x63382),f299(x63381,x63383,x63384))) % 183.16/183.18 [6476]~P108(x64761)+E(f333(f333(f104(f882(x64761,a870)),f307(x64761,x64762,x64763)),f304(x64761,x64763,x64764)),f196(f882(x64761,a870))) % 183.16/183.18 [6477]~P108(x64771)+E(f333(f333(f104(f882(x64771,a870)),f306(x64771,x64772,x64773)),f307(x64771,x64773,x64774)),f196(f882(x64771,a870))) % 183.16/183.18 [6478]~P108(x64781)+E(f333(f333(f104(f882(x64781,a870)),f306(x64781,x64782,x64783)),f306(x64781,x64783,x64784)),f196(f882(x64781,a870))) % 183.16/183.18 [6479]~P108(x64791)+E(f333(f333(f104(f882(x64791,a870)),f304(x64791,x64792,x64793)),f307(x64791,x64793,x64794)),f196(f882(x64791,a870))) % 183.16/183.18 [6480]~P108(x64801)+E(f333(f333(f104(f882(x64801,a870)),f304(x64801,x64802,x64803)),f306(x64801,x64803,x64804)),f196(f882(x64801,a870))) % 183.16/183.18 [6517]P23(f333(f333(x65171,x65172),f563(x65172,x65171)))+~P23(f333(f262(x65173,x65174,x65171),x65172)) % 183.16/183.18 [6566]~E(f333(x65661,x65662),f209(x65663))+~P23(f333(f333(f335(x65664),x65662),f186(x65664,x65663,x65661))) % 183.16/183.18 [6595]~P106(x65952)+E(f333(f174(x65951),f151(x65951,x65952,x65953,x65954)),f333(f174(x65951),x65954)) % 183.16/183.18 [6647]~P141(x66471)+E(f198(x66471,x66472,f333(a115,x66473),x66474),f198(x66471,x66472,x66473,f333(x66472,x66474))) % 183.16/183.18 [6707]~P23(f333(f333(f335(x67074),x67073),f294(x67074,x67071,x67072)))+P23(f333(f333(x67071,x67072),x67073)) % 183.16/183.18 [6708]~P23(f333(f333(f335(x67084),x67083),f295(x67084,x67081,x67082)))+P23(f333(f333(x67081,x67082),x67083)) % 183.16/183.18 [6709]~P23(f333(f333(f335(x67094),x67092),f296(x67094,x67091,x67093)))+P23(f333(f333(x67091,x67092),x67093)) % 183.16/183.18 [6710]~P23(f333(f333(f335(x67104),x67102),f299(x67104,x67101,x67103)))+P23(f333(f333(x67101,x67102),x67103)) % 183.16/183.18 [6787]E(f333(f37(f880(x67871,x67872)),f320(x67871,x67872,x67873,x67874)),f2(a875))+P23(f333(f61(x67872),x67874)) % 183.16/183.18 [6788]E(f333(f37(f880(x67881,x67882)),f320(x67881,x67882,x67883,x67884)),f2(a875))+P23(f333(f61(x67881),x67883)) % 183.16/183.18 [6991]~P10(x69914,x69911,x69912)+E(f333(f72(x69911,x69911,x69911,f333(x69912,x69913)),f333(x69912,x69913)),f333(x69912,x69913)) % 183.16/183.18 [7795]~P23(f333(x77951,x77954))+P23(f333(x77951,f95(x77952,a875,x77953,x77951))) % 183.16/183.18 [7879]~E(x78792,x78793)+P23(f333(f333(f335(f881(x78791,x78791)),f333(f333(f268(x78791,x78791),x78792),x78793)),f309(x78791,x78794))) % 183.16/183.18 [7908]~P20(x79081,x79082,x79083,f256(f882(x79081,a870)))+E(f333(f76(x79081,x79082,f256(f882(x79081,a870)),x79083),f333(x79083,x79084)),x79084) % 183.16/183.18 [8001]~P23(f333(f333(f335(f876(x80011)),f333(f333(f152(x80011),x80014),x80012)),f162(x80011,x80013)))+P23(f333(f333(f335(f876(x80011)),x80012),f162(x80011,x80013))) % 183.16/183.18 [8002]~P23(f333(f333(f335(f876(x80021)),f333(f333(f135(x80021),x80024),x80022)),f162(x80021,x80023)))+P23(f333(f333(f335(f876(x80021)),x80022),f162(x80021,x80023))) % 183.16/183.18 [8003]~P23(f333(f333(f335(f876(x80031)),f333(f333(f135(x80031),x80032),x80034)),f162(x80031,x80033)))+P23(f333(f333(f335(f876(x80031)),x80032),f162(x80031,x80033))) % 183.16/183.18 [8019]~P106(x80191)+P28(x80191,f333(f333(f155(x80192,x80191),x80193),f151(x80192,x80191,x80193,x80194))) % 183.16/183.18 [8117]P20(x81174,x81173,x81171,x81172)+E(f333(x81171,f692(x81172,x81171,x81173,x81174)),f333(x81171,f693(x81172,x81171,x81173,x81174))) % 183.16/183.18 [8130]E(f187(x81301,x81302,x81303,x81304),f187(x81301,x81302,x81304,x81303))+~E(f333(f333(f104(f882(x81301,a870)),f186(x81301,x81302,x81303)),f186(x81301,x81302,x81304)),f196(f882(x81301,a870))) % 183.16/183.18 [8234]~P20(x82342,x82341,x82344,x82343)+P20(x82341,x82342,f76(x82342,x82341,x82343,x82344),f333(f312(x82342,x82341,x82344),x82343)) % 183.16/183.18 [8370]P37(f881(x83702,x83704),f285(x83702,x83704,x83701,x83703))+P23(f333(x83701,f565(x83702,x83703,x83704,x83701))) % 183.16/183.18 [8493]E(x84931,x84932)+~P23(f333(f333(f335(f881(x84933,x84933)),f333(f333(f268(x84933,x84933),x84931),x84932)),f265(x84933,x84934))) % 183.16/183.18 [8557]~P23(f333(f61(f880(x85573,x85571)),f320(x85573,x85571,x85574,x85572)))+P23(f333(f61(x85571),x85572)) % 183.16/183.18 [8558]~P23(f333(f61(f880(x85581,x85583)),f320(x85581,x85583,x85582,x85584)))+P23(f333(f61(x85581),x85582)) % 183.16/183.18 [8734]P37(f881(x87341,x87342),f285(x87341,x87342,x87343,x87344))+~P37(x87342,f333(x87344,f565(x87341,x87344,x87342,x87343))) % 183.16/183.18 [9296]E(f333(f333(f160(x92961,x92962),f688(x92963,x92964,x92962,x92961)),f689(x92963,x92964,x92962,x92961)),x92964)+~P23(f333(f333(f335(f881(f876(x92961),f876(x92961))),f333(f333(f268(f876(x92961),f876(x92961)),x92962),x92964)),f158(x92961,x92963))) % 183.16/183.18 [9297]~P23(f333(x92973,x92974))+P23(f333(f333(f247(a875),f333(x92971,f95(x92972,a875,x92971,x92973))),f333(x92971,x92974))) % 183.16/183.18 [9303]~P23(f333(f333(f335(f881(f876(x93031),f876(x93031))),f333(f333(f268(f876(x93031),f876(x93031)),x93032),x93033)),f146(x93031,x93034)))+P23(f333(f333(f335(f881(f876(x93031),f876(x93031))),f333(f333(f268(f876(x93031),f876(x93031)),x93032),x93033)),f148(x93031,x93034))) % 183.16/183.18 [9409]P23(f333(f61(x94091),x94092))+~P23(f333(f333(f335(f881(f882(x94091,a870),f882(x94091,a870))),f333(f333(f268(f882(x94091,a870),f882(x94091,a870)),x94093),x94092)),f325(x94091,x94094))) % 183.16/183.18 [9410]P23(f333(f61(x94101),x94102))+~P23(f333(f333(f335(f881(f882(x94101,a870),f882(x94101,a870))),f333(f333(f268(f882(x94101,a870),f882(x94101,a870)),x94102),x94103)),f325(x94101,x94104))) % 183.16/183.18 [9413]~E(x94131,f196(f882(x94132,a870)))+~P23(f333(f333(f335(f881(f882(x94132,a870),f882(x94132,a870))),f333(f333(f268(f882(x94132,a870),f882(x94132,a870)),x94133),x94131)),f325(x94132,x94134))) % 183.16/183.18 [10048]P8(x100481,x100482,x100483,x100484)+~P23(f333(f333(f272(x100481,x100481,a870),f333(f333(f7(x100481,f882(x100481,x100482),f882(x100481,a870)),f333(f333(f8(f882(x100482,a870),f882(f882(x100481,x100482),f882(x100481,a870)),x100481),f8(x100482,a870,x100481)),f333(f333(f8(x100482,f882(x100482,a870),x100481),a330),x100484))),x100484)),f597(x100484,x100483,x100482,x100481))) % 183.16/183.18 [4961]~E(x49612,f116(x49611))+E(f333(f333(f160(x49611,x49612),x49613),x49614),f116(x49611)) % 183.16/183.18 [4962]~E(x49624,f116(x49621))+E(f333(f333(f155(x49621,x49622),x49623),x49624),f116(x49622)) % 183.16/183.18 [4963]~E(x49634,f209(x49631))+E(f333(f333(f210(x49631,x49632),x49633),x49634),f209(x49632)) % 183.16/183.18 [5191]E(x51911,f116(x51912))+~E(f333(f333(f155(x51912,x51913),x51914),x51911),f116(x51913)) % 183.16/183.18 [5192]E(x51921,f209(x51922))+~E(f333(f333(f210(x51922,x51923),x51924),x51921),f209(x51923)) % 183.16/183.18 [5193]E(x51931,f116(x51932))+~E(f333(f333(f160(x51932,x51931),x51933),x51934),f116(x51932)) % 183.16/183.18 [5225]E(x52251,x52252)+~E(f333(f333(f135(x52253),x52254),x52251),f333(f333(f135(x52253),x52254),x52252)) % 183.16/183.18 [5226]E(x52261,x52262)+~E(f333(f333(f135(x52263),x52261),x52264),f333(f333(f135(x52263),x52262),x52264)) % 183.16/183.18 [5380]P23(f333(x53803,x53802))+E(f172(x53801,x53802,f333(f137(x53801,x53803),x53804)),f333(f137(x53801,x53803),x53804)) % 183.16/183.18 [5383]~P23(f333(x53832,x53833))+P33(x53831,x53832,f333(f333(f152(x53831),x53833),x53834)) % 183.16/183.18 [5392]E(x53921,x53922)+~E(f140(a875,f333(f303(a875,x53921),x53923)),f333(f333(f152(a875),x53922),x53924)) % 183.16/183.18 [5440]~P21(x54402,x54403)+P21(x54401,f333(f333(f73(x54402,x54401),x54403),x54404)) % 183.16/183.18 [5441]~P37(x54412,x54413)+P37(x54411,f333(f333(f289(x54412,x54411),x54413),x54414)) % 183.16/183.18 [5567]~P33(x55671,x55672,x55674)+P33(x55671,x55672,f333(f333(f152(x55671),x55673),x55674)) % 183.16/183.18 [5568]~P33(x55681,x55682,x55684)+P33(x55681,x55682,f333(f333(f135(x55681),x55683),x55684)) % 183.16/183.18 [5569]~P33(x55691,x55692,x55693)+P33(x55691,x55692,f333(f333(f135(x55691),x55693),x55694)) % 183.16/183.18 [5655]~E(x56551,f116(x56552))+~E(f333(f333(f135(x56552),x56553),f333(f333(f152(x56552),x56554),f116(x56552))),x56551) % 183.16/183.18 [5680]~P31(x56803,x56801,f333(f333(f152(x56803),x56802),x56804))+P23(f333(x56801,x56802)) % 183.16/183.18 [5690]E(f117(x56901,x56902),x56903)+~E(f333(f333(f135(x56901),x56903),f333(f333(f152(x56901),x56904),f116(x56901))),x56902) % 183.16/183.18 [5691]E(f145(x56911,x56912),x56913)+~E(f333(f333(f135(x56911),x56914),f333(f333(f152(x56911),x56913),f116(x56911))),x56912) % 183.16/183.18 [5799]~E(f140(a875,f333(f303(a875,x57991),x57992)),f333(f333(f152(a875),x57993),x57994))+P23(f333(f333(f248(a875),x57991),x57992)) % 183.16/183.18 [5807]P31(x58071,x58072,x58073)+~P31(x58071,x58072,f333(f333(f152(x58071),x58074),x58073)) % 183.16/183.18 [5808]P31(x58081,x58082,x58083)+~P31(x58081,x58082,f333(f333(f135(x58081),x58084),x58083)) % 183.16/183.18 [5809]P31(x58091,x58092,x58093)+~P31(x58091,x58092,f333(f333(f135(x58091),x58093),x58094)) % 183.16/183.18 [5997]E(x59971,f333(f333(f135(x59972),f333(f170(x59972),x59973)),f333(f333(f152(x59972),x59974),f116(x59972))))+~E(f333(f170(x59972),x59971),f333(f333(f152(x59972),x59974),x59973)) % 183.16/183.18 [6168]~P108(x61681)+E(f333(f333(f104(f882(x61681,a870)),f333(f303(x61681,x61682),x61683)),f333(f303(x61681,x61683),x61684)),f196(f882(x61681,a870))) % 183.16/183.18 [6179]E(f333(f333(f166(x61791),f171(x61791,x61792,x61793)),x61794),x61793)+~P23(f333(f333(f248(a875),x61794),x61792)) % 183.16/183.18 [6206]~P66(x62061)+E(f333(f167(x62061),f333(f333(f155(a1,x62061),x62062),f181(x62063,x62064))),f333(f333(f6(a1,x62061),x62062),f333(f174(a1),f181(x62063,x62064)))) % 183.16/183.18 [6207]~P66(x62071)+E(f333(f333(f6(a1,x62071),x62072),f333(f174(a1),f181(x62073,x62074))),f333(f167(x62071),f333(f333(f155(a1,x62071),x62072),f181(x62073,x62074)))) % 183.16/183.18 [6348]~E(x63482,f333(f333(f135(x63481),f333(f170(x63481),x63484)),f333(f333(f152(x63481),x63483),f116(x63481))))+E(f333(f170(x63481),x63482),f333(f333(f152(x63481),x63483),x63484)) % 183.16/183.18 [6364]~P14(x63642,x63643,x63644,x63641)+E(f333(x63641,f196(f882(x63642,a870))),f33(x63643)) % 183.16/183.18 [6390]~P108(x63901)+E(f333(f333(f104(f882(x63901,a870)),f307(x63901,x63902,x63903)),f333(f303(x63901,x63903),x63904)),f196(f882(x63901,a870))) % 183.16/183.18 [6596]E(x65961,f196(f882(x65962,a870)))+~E(f320(x65963,x65962,x65964,x65961),f196(f882(f880(x65963,x65962),a870))) % 183.16/183.18 [6597]E(x65971,f196(f882(x65972,a870)))+~E(f320(x65972,x65973,x65971,x65974),f196(f882(f880(x65972,x65973),a870))) % 183.16/183.18 [6666]~P106(x66662)+E(f333(f197(f876(x66661)),f151(x66661,x66662,x66663,x66664)),f333(f197(f876(x66661)),x66664)) % 183.16/183.18 [6678]~P23(f333(f263(x66783,x66784,x66781),x66782))+P23(f333(f333(x66781,f564(x66782,x66781)),x66782)) % 183.16/183.18 [6718]~P23(f333(f61(x67182),x67184))+P23(f333(f61(x67181),f333(f312(x67182,x67181,x67183),x67184))) % 183.16/183.18 [6951]~P20(x69512,x69511,x69513,x69514)+E(f333(f37(x69511),f333(f312(x69512,x69511,x69513),x69514)),f333(f37(x69512),x69514)) % 183.16/183.18 [6970]E(f333(f312(x69701,x69702,x69703),f333(f313(x69701,x69702,x69703),x69704)),x69704)+~E(f333(f312(x69701,x69702,x69703),f256(f882(x69701,a870))),f256(f882(x69702,a870))) % 183.16/183.18 [7380]~P20(x73801,x73802,x73803,f256(f882(x73801,a870)))+E(f333(f313(x73801,x73802,x73803),f333(f312(x73801,x73802,x73803),x73804)),x73804) % 183.16/183.18 [7668]E(x76681,x76682)+~P23(f333(f333(f335(x76683),x76681),f333(f174(x76683),f171(x76683,x76684,x76682)))) % 183.16/183.18 [7678]~E(x76781,f2(a875))+~P23(f333(f333(f335(x76782),x76783),f333(f174(x76782),f171(x76782,x76781,x76784)))) % 183.16/183.18 [7715]P23(f333(x77151,x77152))+~P23(f333(f333(f335(x77153),x77152),f333(f174(x77153),f179(x77153,x77151,x77154)))) % 183.16/183.18 [7826]~P23(f333(f333(f335(f876(x78261)),f333(f333(f152(x78261),x78262),x78264)),f162(x78261,x78263)))+P23(f333(f333(f335(x78261),x78262),x78263)) % 183.16/183.18 [7955]~P23(f333(f333(f335(x79551),x79552),f333(f174(x79551),f178(x79551,x79553,x79554))))+P23(f333(f333(f335(x79551),x79552),f333(f174(x79551),x79553))) % 183.16/183.18 [7956]~P23(f333(f333(f335(x79561),x79562),f333(f174(x79561),f172(x79561,x79564,x79563))))+P23(f333(f333(f335(x79561),x79562),f333(f174(x79561),x79563))) % 183.16/183.18 [7957]~P23(f333(f333(f335(x79571),x79572),f333(f174(x79571),f179(x79571,x79574,x79573))))+P23(f333(f333(f335(x79571),x79572),f333(f174(x79571),x79573))) % 183.16/183.18 [7967]E(f333(f197(f876(x79671)),x79672),x79673)+~P23(f333(f333(f335(f876(x79671)),x79672),f333(f174(f876(x79671)),f54(x79671,x79673,x79674)))) % 183.16/183.18 [8067]P23(f333(x80673,x80672))+E(f333(f137(x80671,f333(f333(f8(a870,a870,x80671),a328),f333(a330,x80672))),f333(f137(x80671,x80673),x80674)),f333(f137(x80671,x80673),x80674)) % 183.16/183.18 [8183]E(f333(f333(f166(x81831),f179(x81831,x81832,x81833)),x81834),f333(f333(f166(x81831),x81833),x81834))+~P23(f333(f333(f248(a875),x81834),f333(f197(f876(x81831)),f179(x81831,x81832,x81833)))) % 183.16/183.18 [8269]~P66(x82691)+E(f333(f333(f6(a875,x82691),f333(f333(f8(a875,x82691,a875),x82692),a115)),f333(f303(a875,x82693),x82694)),f333(f333(f6(a875,x82691),x82692),f333(f303(a875,f333(a115,x82693)),f333(a115,x82694)))) % 183.16/183.18 [8278]~P66(x82781)+E(f333(f333(f6(a875,x82781),f333(f333(f8(a875,x82781,a875),x82782),a115)),f304(a875,x82783,x82784)),f333(f333(f6(a875,x82781),x82782),f304(a875,f333(a115,x82783),f333(a115,x82784)))) % 183.16/183.18 [8408]~P20(x84081,x84083,x84084,f256(f882(x84081,a870)))+P20(x84081,f882(x84082,x84083),f333(f333(f8(x84083,f882(x84082,x84083),x84081),f16(x84083,x84082)),x84084),f256(f882(x84081,a870))) % 183.16/183.18 [8501]~P20(x85012,x85011,x85014,x85013)+E(f333(f312(x85011,x85012,f76(x85012,x85011,x85013,x85014)),f333(f312(x85012,x85011,x85014),x85013)),x85013) % 183.16/183.18 [8559]~P23(f333(f333(f335(f881(x85591,x85591)),f333(f333(f268(x85591,x85591),x85592),x85594)),f265(x85591,x85593)))+P23(f333(f333(f335(x85591),x85592),x85593)) % 183.16/183.18 [8647]E(f333(f333(f333(f71(x86471,f879(x86472)),f333(f16(f879(x86472),x86471),f209(x86472))),x86473),f333(f240(x86472),f721(x86473,x86474,x86472,x86471))),x86474)+~E(f186(x86471,x86472,x86474),f333(f333(f311(x86471),x86473),f196(f882(x86471,a870)))) % 183.16/183.18 [8769]~E(f333(f333(f6(x87691,a875),x87694),x87693),f333(a115,x87692))+P23(f333(f333(f335(x87691),f519(x87692,x87693,x87694,x87691)),x87693)) % 183.16/183.18 [8789]~E(f333(f333(f6(x87894,a875),x87891),x87893),f333(a115,x87892))+P23(f333(f333(f248(a875),f2(a875)),f333(x87891,f519(x87892,x87893,x87891,x87894)))) % 183.16/183.18 [8800]~P23(f333(f61(x88002),x88004))+P23(f333(f333(f247(a875),f333(f37(x88001),f333(f312(x88002,x88001,x88003),x88004))),f333(f37(x88002),x88004))) % 183.16/183.18 [8801]E(f333(f333(f268(x88011,x88012),f659(x88013,x88014,x88012,x88011)),f660(x88013,x88014,x88012,x88011)),x88014)+~P23(f333(f333(f335(f881(x88011,x88012)),x88014),f333(f288(x88012,x88011),x88013))) % 183.16/183.18 [8810]P20(x88101,x88102,x88103,x88104)+P23(f333(f333(f335(x88101),f692(x88104,x88103,x88102,x88101)),x88104)) % 183.16/183.18 [8811]P20(x88111,x88112,x88113,x88114)+P23(f333(f333(f335(x88111),f693(x88114,x88113,x88112,x88111)),x88114)) % 183.16/183.18 [8872]P8(x88721,x88722,x88723,x88724)+P23(f333(f333(f335(f881(x88721,x88721)),f597(x88724,x88723,x88722,x88721)),x88723)) % 183.16/183.18 [8936]P23(f333(x89361,x89362))+~P23(f333(x89361,f333(f333(f268(x89363,x89364),f539(x89364,x89363,x89361)),f540(x89364,x89363,x89361)))) % 183.16/183.18 [8953]E(f333(f197(f876(x89531)),x89532),f333(f197(f876(x89531)),x89533))+~P23(f333(f333(f335(f881(f876(x89531),f876(x89531))),f333(f333(f268(f876(x89531),f876(x89531)),x89532),x89533)),f146(x89531,x89534))) % 183.16/183.18 [8954]E(f333(f197(f876(x89541)),x89542),f333(f197(f876(x89541)),x89543))+~P23(f333(f333(f335(f881(f876(x89541),f876(x89541))),f333(f333(f268(f876(x89541),f876(x89541)),x89542),x89543)),f158(x89541,x89544))) % 183.16/183.18 [8957]E(f333(f197(f876(x89571)),x89572),f333(f197(f876(x89571)),x89573))+~P23(f333(f333(f335(f881(f876(x89571),f876(x89571))),f333(f333(f268(f876(x89571),f876(x89571)),x89572),x89573)),f159(x89571,x89574))) % 183.16/183.18 [9031]P23(f333(f333(f247(a875),f156(x90311,x90312,x90313)),f156(x90311,x90314,x90313)))+P23(f333(f333(f335(x90311),f687(x90314,x90312,x90313,x90311)),f333(f174(x90311),x90313))) % 183.16/183.18 [9034]E(f333(f197(f876(x90341)),x90342),f333(f197(f876(x90341)),x90343))+~P23(f333(f333(f335(f881(f876(x90341),f876(x90341))),f333(f333(f268(f876(x90341),f876(x90341)),x90342),x90343)),f309(f876(x90341),f158(x90341,x90344)))) % 183.16/183.18 [9268]~P20(x92681,x92682,x92683,x92684)+~P23(f333(f333(f248(a875),f333(f37(x92682),f333(f312(x92681,x92682,x92683),x92684))),f333(f37(x92681),x92684))) % 183.16/183.18 [9314]~P23(f333(f333(f335(f881(f876(x93141),f876(x93141))),f333(f333(f268(f876(x93141),f876(x93141)),x93142),x93143)),f158(x93141,x93144)))+P23(f333(f333(f335(f881(f876(x93141),f876(x93141))),f333(f333(f268(f876(x93141),f876(x93141)),x93142),x93143)),f159(x93141,f309(x93141,x93144)))) % 183.16/183.18 [9318]~P23(f333(f333(f335(f881(f876(x93181),f876(x93181))),f333(f333(f268(f876(x93181),f876(x93181)),x93182),x93183)),f159(x93181,x93184)))+P23(f333(f333(f335(f881(f876(x93181),f876(x93181))),f333(f333(f268(f876(x93181),f876(x93181)),x93182),x93183)),f309(f876(x93181),f158(x93181,x93184)))) % 183.16/183.18 [9335]P23(f333(f333(f335(f881(x93351,x93351)),f333(f333(f268(x93351,x93351),x93352),x93353)),f309(x93351,x93354)))+~P23(f333(f333(f335(f881(x93351,x93351)),f333(f333(f268(x93351,x93351),x93352),x93353)),f333(f333(f290(x93351,x93351,x93351),x93354),f309(x93351,x93354)))) % 183.16/183.18 [9517]E(f333(f333(f135(x95171),f701(x95172,x95173,x95174,x95171)),f333(f333(f152(x95171),f702(x95172,x95173,x95174,x95171)),f704(x95172,x95173,x95174,x95171))),x95174)+~P23(f333(f333(f335(f881(f876(x95171),f876(x95171))),f333(f333(f268(f876(x95171),f876(x95171)),x95174),x95173)),f158(x95171,x95172))) % 183.16/183.18 [9518]E(f333(f333(f135(x95181),f701(x95182,x95183,x95184,x95181)),f333(f333(f152(x95181),f703(x95182,x95183,x95184,x95181)),f704(x95182,x95183,x95184,x95181))),x95183)+~P23(f333(f333(f335(f881(f876(x95181),f876(x95181))),f333(f333(f268(f876(x95181),f876(x95181)),x95184),x95183)),f158(x95181,x95182))) % 183.16/183.18 [9594]P23(f333(f333(f335(f881(x95941,x95941)),f333(f333(f268(x95941,x95941),x95942),f650(x95943,x95944,x95942,x95941))),f309(x95941,x95943)))+~P23(f333(f333(f335(f881(x95941,x95941)),f333(f333(f268(x95941,x95941),x95942),x95944)),f333(f333(f290(x95941,x95941,x95941),x95943),f309(x95941,x95943)))) % 183.16/183.18 [9663]P23(f333(f333(f247(a875),f156(x96631,x96632,x96633)),f156(x96631,x96634,x96633)))+~P23(f333(f333(f248(a875),f333(x96632,f687(x96634,x96632,x96633,x96631))),f333(x96634,f687(x96634,x96632,x96633,x96631)))) % 183.16/183.18 [9730]P23(f333(f333(f335(f881(x97301,x97301)),f333(f333(f268(x97301,x97301),f642(x97302,x97303,x97304,x97301)),x97303)),f309(x97301,x97302)))+~P23(f333(f333(f335(f881(x97301,x97301)),f333(f333(f268(x97301,x97301),x97304),x97303)),f333(f333(f290(x97301,x97301,x97301),x97302),f309(x97301,x97302)))) % 183.16/183.18 [5208]~E(x52082,x52083)+E(f172(x52081,x52082,f333(f333(f152(x52081),x52083),x52084)),x52084) % 183.16/183.18 [5335]P23(f333(x53352,x53353))+E(f179(x53351,x53352,f333(f333(f152(x53351),x53353),x53354)),f116(x53351)) % 183.16/183.18 [5404]~P86(x54042)+E(f333(f333(f78(f882(x54041,x54042)),x54043),x54044),f333(f78(x54042),f333(x54043,x54044))) % 183.16/183.18 [5416]~E(x54162,f2(a875))+E(f333(f333(f139(x54161),x54162),f333(f333(f152(x54161),x54163),x54164)),f333(f333(f152(x54161),x54163),x54164)) % 183.16/183.18 [5417]P23(f333(x54172,x54173))+E(f333(f137(x54171,x54172),f333(f333(f152(x54171),x54173),x54174)),f333(f137(x54171,x54172),x54174)) % 183.16/183.18 [5550]~E(x55502,x55504)+P23(f333(f333(f333(f311(x55501),x55502),x55503),x55504)) % 183.16/183.18 [5558]E(x55581,f116(x55582))+E(f145(x55583,f333(f333(f155(x55582,x55583),x55584),x55581)),f333(x55584,f145(x55582,x55581))) % 183.16/183.18 [5572]~E(x55721,f63(x55722,x55724))+E(f333(x55721,f333(f333(f311(x55722),x55723),f196(f882(x55722,a870)))),x55723) % 183.16/183.18 [5607]E(x56071,f116(x56072))+E(f333(f142(x56073),f333(f333(f155(x56072,x56073),x56074),x56071)),f333(x56074,f333(f142(x56072),x56071))) % 183.16/183.18 [5710]~P23(f333(x57103,x57104))+P23(f333(f333(f333(f311(x57101),x57102),x57103),x57104)) % 183.16/183.18 [5824]~P13(x58242,x58244,x58241)+E(f333(x58241,f333(f333(f311(x58242),x58243),f196(f882(x58242,a870)))),x58243) % 183.16/183.18 [5848]~E(x58482,x58483)+P23(f333(f333(f335(x58481),x58482),f333(f333(f311(x58481),x58483),x58484))) % 183.16/183.18 [5852]~P62(x58521)+E(f333(f333(f113(x58521),x58522),f333(f333(f113(x58521),x58523),x58524)),f333(f333(f113(x58521),x58523),f333(f333(f113(x58521),x58522),x58524))) % 183.16/183.18 [5854]~P98(x58541)+E(f333(f333(f113(x58541),x58542),f333(f333(f113(x58541),x58543),x58544)),f333(f333(f113(x58541),x58543),f333(f333(f113(x58541),x58542),x58544))) % 183.16/183.18 [5855]~P62(x58551)+E(f333(f333(f104(x58551),x58552),f333(f333(f104(x58551),x58553),x58554)),f333(f333(f104(x58551),x58553),f333(f333(f104(x58551),x58552),x58554))) % 183.16/183.18 [5857]~P99(x58571)+E(f333(f333(f104(x58571),x58572),f333(f333(f104(x58571),x58573),x58574)),f333(f333(f104(x58571),x58573),f333(f333(f104(x58571),x58572),x58574))) % 183.16/183.18 [5858]~P109(x58581)+E(f333(f333(f79(x58581),x58582),f333(f333(f79(x58581),x58583),x58584)),f333(f333(f79(x58581),x58583),f333(f333(f79(x58581),x58582),x58584))) % 183.16/183.18 [5859]~P109(x58591)+E(f333(f333(f80(x58591),x58592),f333(f333(f80(x58591),x58593),x58594)),f333(f333(f80(x58591),x58593),f333(f333(f80(x58591),x58592),x58594))) % 183.16/183.18 [5861]~P106(x58611)+E(f333(f333(f245(x58611),x58612),f333(f333(f245(x58611),x58613),x58614)),f333(f333(f245(x58611),x58613),f333(f333(f245(x58611),x58612),x58614))) % 183.16/183.18 [5863]~P106(x58631)+E(f333(f333(f246(x58631),x58632),f333(f333(f246(x58631),x58633),x58634)),f333(f333(f246(x58631),x58633),f333(f333(f246(x58631),x58632),x58634))) % 183.16/183.18 [5868]E(x58681,x58682)+E(f172(x58683,x58681,f333(f333(f152(x58683),x58682),x58684)),f333(f333(f152(x58683),x58682),f172(x58683,x58681,x58684))) % 183.16/183.18 [5881]~P23(f333(x58812,x58813))+E(f333(f137(x58811,x58812),f333(f333(f152(x58811),x58813),x58814)),f333(f333(f152(x58811),x58813),f333(f137(x58811,x58812),x58814))) % 183.16/183.18 [6017]~P23(f333(x60172,x60173))+E(f179(x60171,x60172,f333(f333(f152(x60171),x60173),x60174)),f333(f333(f152(x60171),x60173),f179(x60171,x60172,x60174))) % 183.16/183.18 [6068]P19(x60681,x60682,x60683)+~P19(x60681,x60682,f333(f333(f311(f874(x60681)),x60684),x60683)) % 183.16/183.18 [6081]E(x60811,f196(f882(x60812,a870)))+E(f333(f333(f41(x60812,f882(x60813,a870)),x60811),f333(f16(f882(x60813,a870),x60812),x60814)),x60814) % 183.16/183.18 [6082]E(x60821,f196(f882(x60822,a870)))+E(f333(f333(f42(x60822,f882(x60823,a870)),x60821),f333(f16(f882(x60823,a870),x60822),x60824)),x60824) % 183.16/183.18 [6091]~E(x60914,f196(f882(x60912,a870)))+E(f333(f333(f270(x60911,x60912),x60913),f333(f16(f882(x60912,a870),x60911),x60914)),f196(f882(f881(x60911,x60912),a870))) % 183.16/183.18 [6092]~E(x60923,f196(f882(x60921,a870)))+E(f333(f333(f270(x60921,x60922),x60923),f333(f16(f882(x60922,a870),x60921),x60924)),f196(f882(f881(x60921,x60922),a870))) % 183.16/183.18 [6138]E(x61381,f2(a875))+E(f333(f333(f139(x61382),x61381),f333(f333(f152(x61382),x61383),x61384)),f333(f333(f139(x61382),f333(f333(f22(a875),x61381),f77(a875))),x61384)) % 183.16/183.18 [6162]E(x61621,f196(f882(x61622,a870)))+E(f333(f312(x61622,x61623,f333(f16(x61623,x61622),x61624)),x61621),f333(f333(f311(x61623),x61624),f196(f882(x61623,a870)))) % 183.16/183.18 [6165]E(f333(f313(x61651,x61652,f333(f16(x61652,x61651),x61653)),x61654),f196(f882(x61651,a870)))+P23(f333(f333(f335(x61652),x61653),x61654)) % 183.16/183.18 [6232]~E(x62323,f196(f882(x62321,a870)))+E(f333(f333(f41(x62321,f882(x62322,a870)),x62323),f333(f16(f882(x62322,a870),x62321),x62324)),f196(f882(x62322,a870))) % 183.16/183.18 [6233]~E(x62333,f196(f882(x62331,a870)))+E(f333(f333(f42(x62331,f882(x62332,a870)),x62333),f333(f16(f882(x62332,a870),x62331),x62334)),f256(f882(x62332,a870))) % 183.16/183.18 [6235]~P55(x62351)+E(f44(x62351,f333(f333(f80(x62351),x62352),x62353),f333(f333(f80(x62351),x62352),x62354)),f333(f333(f80(x62351),x62352),f44(x62351,x62353,x62354))) % 183.16/183.18 [6400]E(f333(f313(x64001,x64002,f333(f16(x64002,x64001),x64003)),x64004),f256(f882(x64001,a870)))+~P23(f333(f333(f335(x64002),x64003),x64004)) % 183.16/183.18 [6423]~P23(f333(f333(f335(x64231),x64232),x64234))+P23(f333(f333(f335(x64231),x64232),f333(f333(f311(x64231),x64233),x64234))) % 183.16/183.18 [6428]P23(f333(x64281,x64282))+~P23(f333(f161(x64283,x64281),f333(f333(f152(x64283),x64282),x64284))) % 183.16/183.18 [6437]~E(x64373,f333(f333(f22(a875),f333(f197(f876(x64371)),x64372)),f77(a875)))+E(f117(x64371,f333(f333(f160(x64371,x64372),x64373),x64374)),f117(x64371,x64372)) % 183.16/183.18 [6455]~P106(x64551)+E(f333(f333(f104(f882(x64551,a870)),f333(f302(x64551),x64552)),f304(x64551,x64553,x64554)),f304(x64551,x64553,f333(f333(f245(x64551),x64552),x64554))) % 183.16/183.18 [6456]~P106(x64561)+E(f333(f333(f104(f882(x64561,a870)),f333(f255(x64561),x64562)),f304(x64561,x64563,x64564)),f304(x64561,f333(f333(f246(x64561),x64562),x64563),x64564)) % 183.16/183.18 [6471]E(f333(f333(f104(f882(x64711,a870)),x64712),f333(f333(f311(x64711),x64713),x64714)),f333(f333(f104(f882(x64711,a870)),x64712),x64714))+P23(f333(f333(f335(x64711),x64713),x64712)) % 183.16/183.18 [6483]E(f172(x64831,x64832,f333(f333(f135(x64831),x64833),x64834)),f333(f333(f135(x64831),x64833),f172(x64831,x64832,x64834)))+P23(f333(f333(f335(x64831),x64832),f333(f174(x64831),x64833))) % 183.16/183.18 [6487]~P77(x64871)+E(f333(f333(f80(x64871),f333(f333(f258(x64871),x64872),x64873)),f333(f333(f258(x64871),x64872),x64874)),f333(f333(f258(x64871),x64872),f333(f333(f79(a875),x64873),x64874))) % 183.16/183.18 [6488]~P109(x64881)+E(f333(f333(f80(x64881),f333(f333(f258(x64881),x64882),x64883)),f333(f333(f258(x64881),x64882),x64884)),f333(f333(f258(x64881),x64882),f333(f333(f79(a875),x64883),x64884))) % 183.16/183.18 [6524]~P96(x65241)+E(f333(f333(f104(x65241),f333(f333(f113(x65241),x65242),x65243)),f333(f333(f113(x65241),x65242),x65244)),f333(f333(f113(x65241),x65242),f333(f333(f104(x65241),x65243),x65244))) % 183.16/183.18 [6525]~P96(x65251)+E(f333(f333(f113(x65251),f333(f333(f104(x65251),x65252),x65253)),f333(f333(f104(x65251),x65252),x65254)),f333(f333(f104(x65251),x65252),f333(f333(f113(x65251),x65253),x65254))) % 183.16/183.18 [6526]~P109(x65261)+E(f333(f333(f79(x65261),f333(f333(f80(x65261),x65262),x65263)),f333(f333(f80(x65261),x65262),x65264)),f333(f333(f80(x65261),x65262),f333(f333(f79(x65261),x65263),x65264))) % 183.16/183.18 [6527]~P106(x65271)+E(f333(f333(f246(x65271),f333(f333(f245(x65271),x65272),x65273)),f333(f333(f245(x65271),x65272),x65274)),f333(f333(f245(x65271),x65272),f333(f333(f246(x65271),x65273),x65274))) % 183.16/183.18 [6528]~P106(x65281)+E(f333(f333(f245(x65281),f333(f333(f246(x65281),x65282),x65283)),f333(f333(f246(x65281),x65282),x65284)),f333(f333(f246(x65281),x65282),f333(f333(f245(x65281),x65283),x65284))) % 183.16/183.18 [6560]~P55(x65601)+E(f44(x65601,f333(f333(f80(x65601),x65602),x65603),f333(f333(f80(x65601),x65604),x65603)),f333(f333(f80(x65601),f44(x65601,x65602,x65604)),x65603)) % 183.16/183.18 [6563]~E(f333(f197(f876(x65631)),x65633),f333(f197(f876(x65632)),x65634))+E(f333(f333(f155(f881(x65631,x65632),x65632),f271(x65631,x65632)),f333(f333(f184(x65631,x65632),x65633),x65634)),x65634) % 183.16/183.18 [6564]~E(f333(f197(f876(x65641)),x65643),f333(f197(f876(x65642)),x65644))+E(f333(f333(f155(f881(x65641,x65642),x65641),f267(x65641,x65642)),f333(f333(f184(x65641,x65642),x65643),x65644)),x65643) % 183.16/183.18 [6570]P23(f333(f161(x65701,x65702),x65703))+~P23(f333(f161(x65701,x65702),f333(f333(f152(x65701),x65704),x65703))) % 183.16/183.18 [6571]P23(f333(f161(x65711,x65712),x65713))+~P23(f333(f161(x65711,x65712),f333(f333(f135(x65711),x65714),x65713))) % 183.16/183.18 [6572]P23(f333(f161(x65721,x65722),x65723))+~P23(f333(f161(x65721,x65722),f333(f333(f135(x65721),x65723),x65724))) % 183.16/183.18 [6577]~P56(x65771)+E(f44(x65771,f333(f333(f22(x65771),x65772),f44(x65771,x65773,x65774)),x65774),f44(x65771,f333(f333(f22(x65771),x65772),x65773),x65774)) % 183.16/183.18 [6579]~P55(x65791)+E(f44(x65791,f333(f333(f80(x65791),x65792),f44(x65791,x65793,x65794)),x65794),f44(x65791,f333(f333(f80(x65791),x65792),x65793),x65794)) % 183.16/183.18 [6580]~P55(x65801)+E(f44(x65801,f333(f333(f79(x65801),x65802),f44(x65801,x65803,x65804)),x65804),f44(x65801,f333(f333(f79(x65801),x65802),x65803),x65804)) % 183.16/183.18 [6660]~P106(x66601)+E(f333(f333(f104(f882(x66601,a870)),f304(x66601,x66602,x66603)),f333(f302(x66601),x66604)),f304(x66601,x66602,f333(f333(f245(x66601),x66603),x66604))) % 183.16/183.18 [6661]~P106(x66611)+E(f333(f333(f104(f882(x66611,a870)),f304(x66611,x66612,x66613)),f333(f255(x66611),x66614)),f304(x66611,f333(f333(f246(x66611),x66612),x66614),x66613)) % 183.16/183.18 [6664]~E(f333(f197(f876(x66641)),x66643),f333(f197(f876(x66642)),x66644))+E(f333(f333(f184(x66641,x66642),f333(f170(x66641),x66643)),f333(f170(x66642),x66644)),f333(f170(f881(x66641,x66642)),f333(f333(f184(x66641,x66642),x66643),x66644))) % 183.16/183.18 [6674]E(x66741,f333(f333(f22(a875),f333(f197(f876(x66742)),x66743)),f77(a875)))+E(f117(x66742,f333(f333(f160(x66742,x66743),x66741),x66744)),f333(f333(f160(x66742,f117(x66742,x66743)),x66741),x66744)) % 183.16/183.18 [6689]~P23(f333(f138(x66892),x66894))+P23(f333(f138(f881(x66891,x66892)),f333(f333(f184(x66891,x66892),x66893),x66894))) % 183.16/183.18 [6690]~P23(f333(f138(x66901),x66903))+P23(f333(f138(f881(x66901,x66902)),f333(f333(f184(x66901,x66902),x66903),x66904))) % 183.16/183.18 [6954]E(f333(f333(f38(a875),x69541),x69542),x69543)+~P23(f333(f47(x69541,x69542),f333(f333(f268(a875,a875),x69543),x69544))) % 183.16/183.18 [6978]E(f44(a875,x69781,x69782),x69783)+~P23(f333(f47(x69781,x69782),f333(f333(f268(a875,a875),x69784),x69783))) % 183.16/183.18 [6981]P23(f333(f138(x69811),x69812))+~P23(f333(f138(x69813),f333(f333(f155(x69811,x69813),x69814),x69812))) % 183.16/183.18 [6989]~P19(x69891,x69892,f333(f333(f311(f874(x69891)),x69893),x69894))+P19(x69891,x69892,f333(f333(f311(f874(x69891)),x69893),f196(f882(f874(x69891),a870)))) % 183.16/183.18 [6995]P23(f333(f333(f202(x69951),x69952),x69953))+~P23(f333(f333(f333(f333(a204,x69951),x69952),x69954),x69953)) % 183.16/183.18 [7067]E(f172(x70671,x70672,f333(f333(f135(x70671),x70673),x70674)),f333(f333(f135(x70671),f172(x70671,x70672,x70673)),x70674))+~P23(f333(f333(f335(x70671),x70672),f333(f174(x70671),x70673))) % 183.16/183.18 [7157]~P56(x71571)+E(f44(x71571,f333(f333(f22(x71571),f44(x71571,x71572,x71573)),x71574),x71573),f44(x71571,f333(f333(f22(x71571),x71572),x71574),x71573)) % 183.16/183.18 [7160]~P55(x71601)+E(f44(x71601,f333(f333(f79(x71601),f44(x71601,x71602,x71603)),x71604),x71603),f44(x71601,f333(f333(f79(x71601),x71602),x71604),x71603)) % 183.16/183.18 [7161]~P55(x71611)+E(f44(x71611,f333(f333(f80(x71611),f44(x71611,x71612,x71613)),x71614),x71613),f44(x71611,f333(f333(f80(x71611),x71612),x71614),x71613)) % 183.16/183.18 [7351]~E(x73511,f333(f333(f152(x73512),x73513),x73514))+~P23(f333(f333(f247(a875),f333(f197(f876(x73512)),x73511)),f333(f197(f876(x73512)),x73514))) % 183.16/183.18 [7426]~E(f333(f180(x74261,x74262),x74263),f333(f180(x74261,x74262),x74264))+E(f333(f312(f881(x74261,x74262),x74261,f267(x74261,x74262)),f333(f174(f881(x74261,x74262)),x74263)),f333(f312(f881(x74261,x74262),x74261,f267(x74261,x74262)),f333(f174(f881(x74261,x74262)),x74264))) % 183.16/183.18 [7561]P20(x75611,x75612,x75613,f333(f174(x75611),x75614))+~P23(f333(f138(x75612),f333(f333(f155(x75611,x75612),x75613),x75614))) % 183.16/183.18 [7635]~P23(f333(f333(f247(f882(x76351,a870)),x76352),x76354))+P23(f333(f333(f247(f882(x76351,a870)),x76352),f333(f333(f311(x76351),x76353),x76354))) % 183.16/183.18 [7669]~P56(x76691)+E(f44(x76691,f333(f333(f22(x76691),f44(x76691,x76692,x76693)),f44(x76691,x76694,x76693)),x76693),f44(x76691,f333(f333(f22(x76691),x76692),x76694),x76693)) % 183.16/183.18 [7670]~P55(x76701)+E(f44(x76701,f333(f333(f79(x76701),f44(x76701,x76702,x76703)),f44(x76701,x76704,x76703)),x76703),f44(x76701,f333(f333(f79(x76701),x76702),x76704),x76703)) % 183.16/183.18 [7671]~P55(x76711)+E(f44(x76711,f333(f333(f80(x76711),f44(x76711,x76712,x76713)),f44(x76711,x76714,x76713)),x76713),f44(x76711,f333(f333(f80(x76711),x76712),x76714),x76713)) % 183.16/183.18 [7774]P23(f333(f333(f333(f333(a204,x77741),x77742),f333(a115,x77743)),x77744))+~P23(f333(f333(f333(f333(a204,x77741),x77742),x77743),x77744)) % 183.16/183.18 [7781]~E(f333(x77814,f825(x77814,x77813,x77811,x77812)),f196(f882(x77812,a870)))+E(f333(f333(f41(x77811,f882(x77812,a870)),x77813),x77814),f196(f882(x77812,a870))) % 183.16/183.18 [7782]~E(f333(x77824,f832(x77824,x77823,x77821,x77822)),f256(f882(x77822,a870)))+E(f333(f333(f42(x77821,f882(x77822,a870)),x77823),x77824),f256(f882(x77822,a870))) % 183.16/183.18 [7783]~E(f333(x77834,f826(x77834,x77833,x77832,x77831)),f196(f882(x77832,a870)))+E(f333(f333(f41(x77831,f882(x77832,a870)),x77833),x77834),f196(f882(x77832,a870))) % 183.16/183.18 [7784]~E(f333(x77844,f834(x77844,x77843,x77842,x77841)),f256(f882(x77842,a870)))+E(f333(f333(f42(x77841,f882(x77842,a870)),x77843),x77844),f256(f882(x77842,a870))) % 183.16/183.18 [8184]P23(f333(x81841,x81842))+~P23(f333(f333(f335(x81843),x81842),f333(f333(f104(f882(x81843,a870)),x81844),f333(f253(x81843),x81841)))) % 183.16/183.18 [8223]~P23(f333(f333(f247(f882(x82231,a870)),x82233),x82234))+P23(f333(f333(f247(f882(x82231,a870)),f333(f333(f311(x82231),x82232),x82233)),f333(f333(f311(x82231),x82232),x82234))) % 183.16/183.18 [8390]P23(f333(f333(f202(x83901),x83902),f356(x83903,x83902,x83904,x83901)))+~P23(f333(f333(f202(f32(x83901,x83904)),x83902),x83903)) % 183.16/183.18 [8391]P23(f333(f333(f202(x83911),x83912),f365(x83913,x83912,x83914,x83911)))+~P23(f333(f333(f202(f32(x83911,x83914)),x83912),x83913)) % 183.16/183.18 [8400]P23(f333(x84002,x84003))+E(f333(f333(f139(x84001),f333(f197(f876(x84001)),f179(x84001,x84002,f333(f333(f152(x84001),x84003),x84004)))),f333(f333(f152(x84001),x84003),x84004)),f333(f333(f152(x84001),x84003),x84004)) % 183.16/183.18 [8515]~P23(f333(f333(f248(a875),f333(x85154,x85152)),f333(x85154,x85153)))+P23(f333(f333(f335(f881(x85151,x85151)),f333(f333(f268(x85151,x85151),x85152),x85153)),f333(f333(f289(a875,x85151),a252),x85154))) % 183.16/183.18 [8604]~P23(f333(x86042,f779(x86044,x86042,x86043,x86041)))+E(f179(x86041,x86042,f333(f333(f135(x86041),x86043),x86044)),f333(f333(f135(x86041),x86043),f179(x86041,x86042,x86044))) % 183.16/183.18 [8674]P20(f876(x86741),f876(x86742),f333(f155(x86741,x86742),x86743),x86744)+~P20(x86741,x86742,x86743,f39(f882(x86741,a870),f333(f312(f876(x86741),f882(x86741,a870),f174(x86741)),x86744))) % 183.16/183.18 [8741]~P23(f333(x87412,x87413))+E(f333(f333(f139(x87411),f333(f197(f876(x87411)),f179(x87411,x87412,f333(f333(f152(x87411),x87413),x87414)))),f333(f333(f152(x87411),x87413),x87414)),f333(f333(f139(x87411),f333(f197(f876(x87411)),f179(x87411,x87412,x87414))),x87414)) % 183.16/183.18 [8780]~E(x87802,x87803)+E(f333(f137(x87801,f333(f333(f8(a870,a870,x87801),a328),f333(a330,x87802))),f333(f333(f152(x87801),x87803),x87804)),f333(f137(x87801,f333(f333(f8(a870,a870,x87801),a328),f333(a330,x87802))),x87804)) % 183.16/183.18 [8790]E(f333(f333(f41(x87901,f882(x87902,a870)),x87903),x87904),f196(f882(x87902,a870)))+P23(f333(f333(f335(x87901),f825(x87904,x87903,x87901,x87902)),x87903)) % 183.16/183.18 [8791]E(f333(f333(f42(x87911,f882(x87912,a870)),x87913),x87914),f256(f882(x87912,a870)))+P23(f333(f333(f335(x87911),f832(x87914,x87913,x87911,x87912)),x87913)) % 183.16/183.18 [8792]E(f333(f333(f41(x87921,f882(x87922,a870)),x87923),x87924),f196(f882(x87922,a870)))+P23(f333(f333(f335(x87921),f826(x87924,x87923,x87922,x87921)),x87923)) % 183.16/183.18 [8793]E(f333(f333(f42(x87931,f882(x87932,a870)),x87933),x87934),f256(f882(x87932,a870)))+P23(f333(f333(f335(x87931),f834(x87934,x87933,x87932,x87931)),x87933)) % 183.16/183.18 [8830]P23(f333(f333(f248(a875),f333(x88301,x88302)),f333(x88301,x88303)))+~P23(f333(f333(f335(f881(x88304,x88304)),f333(f333(f268(x88304,x88304),x88302),x88303)),f333(f333(f289(a875,x88304),a252),x88301))) % 183.16/183.18 [8851]E(f179(x88511,x88512,f333(f333(f135(x88511),x88513),x88514)),f333(f333(f135(x88511),x88513),f179(x88511,x88512,x88514)))+P23(f333(f333(f335(x88511),f779(x88514,x88512,x88513,x88511)),f333(f174(x88511),x88513))) % 183.16/183.18 [8888]P23(f333(f333(f202(x88881),f356(x88882,x88883,x88881,x88884)),x88882))+~P23(f333(f333(f202(f32(x88884,x88881)),x88883),x88882)) % 183.16/183.18 [8889]P23(f333(f333(f202(x88891),f365(x88892,x88893,x88891,x88894)),x88892))+~P23(f333(f333(f202(f32(x88894,x88891)),x88893),x88892)) % 183.16/183.18 [9020]P23(f333(f333(f335(x90201),f501(x90202,x90203,x90204,x90201)),x90203))+~P23(f333(f333(f335(f882(x90201,a870)),x90204),f333(f333(f60(x90201),x90203),x90202))) % 183.16/183.18 [9023]E(x90231,x90232)+~P23(f333(f333(f335(f881(x90233,x90233)),f333(f333(f268(x90233,x90233),x90231),x90232)),f333(f333(f191(f881(x90233,x90233),a870),f2(a875)),x90234))) % 183.16/183.18 [9102]E(f333(f287(x91021,x91021,x91022),f333(f333(f311(x91021),f501(x91022,x91023,x91024,x91021)),f196(f882(x91021,a870)))),x91024)+~P23(f333(f333(f335(f882(x91021,a870)),x91024),f333(f333(f60(x91021),x91023),x91022))) % 183.16/183.18 [9107]~P23(f333(f333(f335(f881(x91071,x91071)),f333(f333(f268(x91071,x91071),x91073),x91072)),f309(x91071,x91074)))+P23(f333(f333(f335(f881(x91071,x91071)),f333(f333(f268(x91071,x91071),x91072),x91073)),f309(x91071,f333(f288(x91071,x91071),x91074)))) % 183.16/183.18 [9119]~P55(x91191)+E(f333(f333(f79(x91191),f333(f333(f79(x91191),f333(f333(f80(x91191),x91192),f333(f333(f38(x91191),x91193),x91192))),f44(x91191,x91193,x91192))),x91194),f333(f333(f79(x91191),x91193),x91194)) % 183.16/183.18 [9129]~P23(f333(f333(f335(x91291),x91293),x91294))+P23(f333(f333(f335(f882(x91291,a870)),f333(f287(x91291,x91291,x91292),f333(f333(f311(x91291),x91293),f196(f882(x91291,a870))))),f333(f333(f60(x91291),x91294),x91292))) % 183.16/183.18 [9140]P23(f333(f333(f335(f881(x91401,x91401)),f333(f333(f268(x91401,x91401),x91402),x91403)),f309(x91401,x91404)))+~P23(f333(f333(f335(f881(x91401,x91401)),f333(f333(f268(x91401,x91401),x91403),x91402)),f309(x91401,f333(f288(x91401,x91401),x91404)))) % 183.16/183.18 [9232]E(f333(f333(f160(x92321,f333(f170(x92321),x92322)),f333(f333(f22(a875),f333(f333(f22(a875),f333(f197(f876(x92321)),x92322)),x92323)),f77(a875))),x92324),f333(f170(x92321),f333(f333(f160(x92321,x92322),x92323),x92324)))+~P23(f333(f333(f248(a875),x92323),f333(f197(f876(x92321)),x92322))) % 183.16/183.18 [9235]~P23(f333(x92352,f773(x92354,x92352,x92353,x92351)))+E(f333(f333(f139(x92351),f333(f197(f876(x92351)),f179(x92351,x92352,f333(f333(f135(x92351),x92353),x92354)))),f333(f333(f135(x92351),x92353),x92354)),f333(f333(f139(x92351),f333(f197(f876(x92351)),f179(x92351,x92352,x92354))),x92354)) % 183.16/183.18 [9274]~P20(x92742,x92741,x92743,f256(f882(x92742,a870)))+P23(f333(f333(f247(f882(x92741,a870)),f333(f312(x92742,x92741,x92743),f333(f78(f882(x92742,a870)),x92744))),f333(f78(f882(x92741,a870)),f333(f312(x92742,x92741,x92743),x92744)))) % 183.16/183.18 [9287]~P26(x92871)+E(f333(f143(x92871,x92872,f333(f7(x92872,x92871,x92871),f333(f333(f8(x92871,f882(x92871,x92871),x92872),f113(x92871)),x92873)),f196(x92871)),x92874),f333(f333(f41(x92872,x92871),f333(f174(x92872),x92874)),x92873)) % 183.16/183.18 [9288]~P26(x92881)+E(f333(f143(x92881,x92882,f333(f7(x92882,x92881,x92881),f333(f333(f8(x92881,f882(x92881,x92881),x92882),f104(x92881)),x92883)),f256(x92881)),x92884),f333(f333(f42(x92882,x92881),f333(f174(x92882),x92884)),x92883)) % 183.16/183.18 [9300]E(f333(f333(f139(x93001),f333(f197(f876(x93001)),f179(x93001,x93002,f333(f333(f135(x93001),x93003),x93004)))),f333(f333(f135(x93001),x93003),x93004)),f333(f333(f139(x93001),f333(f197(f876(x93001)),f179(x93001,x93002,x93004))),x93004))+P23(f333(f333(f335(x93001),f773(x93004,x93002,x93003,x93001)),f333(f174(x93001),x93003))) % 183.16/183.18 [9368]~P23(f333(f333(f335(f881(f876(x93684),f876(x93684))),f333(f333(f268(f876(x93684),f876(x93684)),x93683),x93682)),f158(x93684,x93681)))+P23(f333(f333(f248(a875),f688(x93681,x93682,x93683,x93684)),f333(f197(f876(x93684)),x93683))) % 183.16/183.18 [9369]~P55(x93691)+E(f333(f333(f79(x93691),f333(f333(f79(x93691),f333(f333(f80(x93691),f333(f333(f38(x93691),x93692),x93693)),x93693)),f44(x93691,x93692,x93693))),x93694),f333(f333(f79(x93691),x93692),x93694)) % 183.16/183.18 [9397]~P23(f333(f333(f335(f881(f876(x93971),f876(x93971))),f333(f333(f268(f876(x93971),f876(x93971)),x93972),x93973)),f333(f288(f876(x93971),f876(x93971)),f158(x93971,x93974))))+P23(f333(f333(f335(f881(f876(x93971),f876(x93971))),f333(f333(f268(f876(x93971),f876(x93971)),x93972),x93973)),f158(x93971,f333(f288(x93971,x93971),x93974)))) % 183.16/183.18 [9398]P23(f333(f333(f335(f881(f876(x93981),f876(x93981))),f333(f333(f268(f876(x93981),f876(x93981)),x93982),x93983)),f333(f288(f876(x93981),f876(x93981)),f158(x93981,x93984))))+~P23(f333(f333(f335(f881(f876(x93981),f876(x93981))),f333(f333(f268(f876(x93981),f876(x93981)),x93982),x93983)),f158(x93981,f333(f288(x93981,x93981),x93984)))) % 183.16/183.18 [9432]~P23(f333(f333(f335(x94321),x94323),f333(f266(x94321,x94322),x94324)))+P23(f333(f333(f335(f881(x94321,x94322)),f333(f333(f268(x94321,x94322),x94323),f572(x94324,x94322,x94323,x94321))),x94324)) % 183.16/183.18 [9433]~P23(f333(f333(f335(x94331),x94333),f333(f266(x94331,x94332),x94334)))+P23(f333(f333(f335(f881(x94331,x94332)),f333(f333(f268(x94331,x94332),x94333),f574(x94334,x94332,x94333,x94331))),x94334)) % 183.16/183.18 [9542]~P23(f333(f61(f879(x95421)),f333(f312(x95422,f879(x95421),x95423),f256(f882(x95422,a870)))))+P23(f333(f61(f879(x95421)),f333(f312(x95422,f879(x95421),f187(x95422,x95421,x95423,f333(f180(x95422,x95421),x95424))),f256(f882(x95422,a870))))) % 183.16/183.18 [9589]~P23(f333(f333(f335(f881(x95891,x95891)),f333(f333(f268(x95891,x95891),x95892),x95894)),f333(f333(f290(x95891,x95891,x95891),x95893),f309(x95891,x95893))))+P23(f333(f333(f335(f881(x95891,x95891)),f333(f333(f268(x95891,x95891),x95892),f642(x95893,x95894,x95892,x95891))),x95893)) % 183.16/183.18 [9757]~P23(f333(f333(f335(f881(x97572,x97571)),x97574),f333(f288(x97571,x97572),x97573)))+P23(f333(f333(f335(f881(x97571,x97572)),f333(f333(f268(x97571,x97572),f660(x97573,x97574,x97571,x97572)),f659(x97573,x97574,x97571,x97572))),x97573)) % 183.16/183.18 [9785]~P23(f333(f333(f335(f881(f876(x97851),f876(x97851))),f333(f333(f268(f876(x97851),f876(x97851)),x97854),x97853)),f158(x97851,x97852)))+P23(f333(f333(f335(f881(x97851,x97851)),f333(f333(f268(x97851,x97851),f702(x97852,x97853,x97854,x97851)),f703(x97852,x97853,x97854,x97851))),x97852)) % 183.16/183.18 [9881]~P23(f333(f333(f335(f881(f876(x98811),f876(x98811))),f333(f333(f268(f876(x98811),f876(x98811)),x98812),x98814)),f158(x98811,x98813)))+P23(f333(f333(f335(f881(x98811,x98811)),f333(f333(f268(x98811,x98811),f333(f333(f166(x98811),x98812),f688(x98813,x98814,x98812,x98811))),f689(x98813,x98814,x98812,x98811))),x98813)) % 183.16/183.18 [9903]~P23(f333(f61(x99032),x99034))+E(f333(f333(f333(f65(f882(x99031,a870),x99032,f113(f882(x99031,a870))),f333(f333(f7(x99032,f882(x99031,a870),f882(x99031,a870)),f333(f333(f8(x99031,f882(f882(x99031,a870),f882(x99031,a870)),x99032),f311(x99031)),x99033)),f196(f882(x99031,a870)))),f196(f882(x99031,a870))),x99034),f333(f312(x99032,x99031,x99033),x99034)) % 183.16/183.18 [9998]~P20(x99981,x99982,x99983,f256(f882(x99981,a870)))+P23(f333(f333(f247(f882(x99981,a870)),f333(f313(x99981,x99982,x99983),f333(f333(f311(x99982),x99984),f196(f882(x99982,a870))))),f333(f333(f311(x99981),f84(x99981,f333(f333(f7(x99981,x99982,a870),f333(f333(f8(x99982,f882(x99982,a870),x99981),a330),x99983)),x99984))),f196(f882(x99981,a870))))) % 183.16/183.18 [5616]~E(f333(f333(f135(x56161),x56162),x56164),x56163)+E(f333(f333(f177(x56161),f333(f197(f876(x56161)),x56162)),x56163),x56162) % 183.16/183.18 [5617]~E(f333(f333(f135(x56172),x56173),x56171),x56174)+E(x56171,f333(f333(f139(x56172),f333(f197(f876(x56172)),x56173)),x56174)) % 183.16/183.18 [5628]~E(x56284,f2(a875))+E(f333(f333(f166(x56281),f333(f333(f152(x56281),x56282),x56283)),x56284),x56282) % 183.16/183.18 [6151]~P109(x61511)+E(f333(f333(f258(x61511),f333(f333(f258(x61511),x61512),x61513)),x61514),f333(f333(f258(x61511),x61512),f333(f333(f80(a875),x61513),x61514))) % 183.16/183.18 [6152]~P77(x61521)+E(f333(f333(f258(x61521),f333(f333(f258(x61521),x61522),x61523)),x61524),f333(f333(f258(x61521),x61522),f333(f333(f80(a875),x61523),x61524))) % 183.16/183.18 [6163]E(x61631,f2(a875))+E(f333(f333(f166(x61632),f333(f333(f152(x61632),x61633),x61634)),x61631),f333(f333(f166(x61632),x61634),f333(f333(f22(a875),x61631),f77(a875)))) % 183.16/183.18 [6190]~P117(x61901)+E(f333(f333(f291(x61901),f333(f333(f80(x61901),x61902),x61903)),x61904),f333(f333(f80(x61901),x61902),f333(f333(f291(x61901),x61903),x61904))) % 183.16/183.18 [6191]~P62(x61911)+E(f333(f333(f113(x61911),f333(f333(f113(x61911),x61912),x61913)),x61914),f333(f333(f113(x61911),x61912),f333(f333(f113(x61911),x61913),x61914))) % 183.16/183.18 [6193]~P98(x61931)+E(f333(f333(f113(x61931),f333(f333(f113(x61931),x61932),x61933)),x61934),f333(f333(f113(x61931),x61932),f333(f333(f113(x61931),x61933),x61934))) % 183.16/183.18 [6194]~P62(x61941)+E(f333(f333(f104(x61941),f333(f333(f104(x61941),x61942),x61943)),x61944),f333(f333(f104(x61941),x61942),f333(f333(f104(x61941),x61943),x61944))) % 183.16/183.18 [6196]~P99(x61961)+E(f333(f333(f104(x61961),f333(f333(f104(x61961),x61962),x61963)),x61964),f333(f333(f104(x61961),x61962),f333(f333(f104(x61961),x61963),x61964))) % 183.16/183.18 [6197]~P68(x61971)+E(f333(f333(f79(x61971),f333(f333(f79(x61971),x61972),x61973)),x61974),f333(f333(f79(x61971),x61972),f333(f333(f79(x61971),x61973),x61974))) % 183.16/183.18 [6198]~P109(x61981)+E(f333(f333(f79(x61981),f333(f333(f79(x61981),x61982),x61983)),x61984),f333(f333(f79(x61981),x61982),f333(f333(f79(x61981),x61983),x61984))) % 183.16/183.18 [6199]~P67(x61991)+E(f333(f333(f80(x61991),f333(f333(f80(x61991),x61992),x61993)),x61994),f333(f333(f80(x61991),x61992),f333(f333(f80(x61991),x61993),x61994))) % 183.16/183.18 [6200]~P109(x62001)+E(f333(f333(f80(x62001),f333(f333(f80(x62001),x62002),x62003)),x62004),f333(f333(f80(x62001),x62002),f333(f333(f80(x62001),x62003),x62004))) % 183.16/183.18 [6203]~P106(x62031)+E(f333(f333(f245(x62031),f333(f333(f245(x62031),x62032),x62033)),x62034),f333(f333(f245(x62031),x62032),f333(f333(f245(x62031),x62033),x62034))) % 183.16/183.18 [6205]~P106(x62051)+E(f333(f333(f246(x62051),f333(f333(f246(x62051),x62052),x62053)),x62054),f333(f333(f246(x62051),x62052),f333(f333(f246(x62051),x62053),x62054))) % 183.16/183.18 [6216]~P55(x62161)+E(f44(x62161,f333(f333(f79(x62161),x62162),f333(f333(f80(x62161),x62163),x62164)),x62164),f44(x62161,x62162,x62164)) % 183.16/183.18 [6217]~P55(x62171)+E(f44(x62171,f333(f333(f79(x62171),x62172),f333(f333(f80(x62171),x62173),x62174)),x62173),f44(x62171,x62172,x62173)) % 183.16/183.18 [6349]E(f333(f333(f166(x63491),f333(f333(f177(x63491),x63492),x63493)),x63494),f333(f333(f166(x63491),x63493),x63494))+~P23(f333(f333(f248(a875),x63494),x63492)) % 183.16/183.18 [6522]~P109(x65221)+E(f333(f333(f79(x65221),f333(f333(f79(x65221),x65222),x65223)),x65224),f333(f333(f79(x65221),f333(f333(f79(x65221),x65222),x65224)),x65223)) % 183.16/183.18 [6523]~P109(x65231)+E(f333(f333(f80(x65231),f333(f333(f80(x65231),x65232),x65233)),x65234),f333(f333(f80(x65231),f333(f333(f80(x65231),x65232),x65234)),x65233)) % 183.16/183.18 [6583]~P141(x65832)+E(f333(f333(f6(x65831,x65832),f333(f16(x65832,x65831),x65833)),x65834),f333(f333(f80(x65832),f333(f103(x65832),f333(f37(x65831),x65834))),x65833)) % 183.16/183.18 [6752]E(f333(f333(f104(f882(x67521,a870)),f333(f333(f311(x67521),x67522),x67523)),x67524),f333(f333(f104(f882(x67521,a870)),x67523),x67524))+P23(f333(f333(f335(x67521),x67522),x67524)) % 183.16/183.18 [6822]~P96(x68221)+E(f333(f333(f104(x68221),f333(f333(f113(x68221),x68222),x68223)),f333(f333(f113(x68221),x68224),x68223)),f333(f333(f113(x68221),f333(f333(f104(x68221),x68222),x68224)),x68223)) % 183.16/183.18 [6823]~P82(x68231)+E(f333(f333(f245(x68231),f333(f333(f22(x68231),x68232),x68233)),f333(f333(f22(x68231),x68234),x68233)),f333(f333(f22(x68231),f333(f333(f245(x68231),x68232),x68234)),x68233)) % 183.16/183.18 [6824]~P82(x68241)+E(f333(f333(f246(x68241),f333(f333(f22(x68241),x68242),x68243)),f333(f333(f22(x68241),x68244),x68243)),f333(f333(f22(x68241),f333(f333(f246(x68241),x68242),x68244)),x68243)) % 183.16/183.18 [6825]~P96(x68251)+E(f333(f333(f113(x68251),f333(f333(f104(x68251),x68252),x68253)),f333(f333(f104(x68251),x68254),x68253)),f333(f333(f104(x68251),f333(f333(f113(x68251),x68252),x68254)),x68253)) % 183.16/183.18 [6826]~P80(x68261)+E(f333(f333(f245(x68261),f333(f333(f79(x68261),x68262),x68263)),f333(f333(f79(x68261),x68264),x68263)),f333(f333(f79(x68261),f333(f333(f245(x68261),x68262),x68264)),x68263)) % 183.16/183.18 [6827]~P80(x68271)+E(f333(f333(f246(x68271),f333(f333(f79(x68271),x68272),x68273)),f333(f333(f79(x68271),x68274),x68273)),f333(f333(f79(x68271),f333(f333(f246(x68271),x68272),x68274)),x68273)) % 183.16/183.18 [6829]~P110(x68291)+E(f333(f333(f79(x68291),f333(f333(f80(x68291),x68292),x68293)),f333(f333(f80(x68291),x68294),x68293)),f333(f333(f80(x68291),f333(f333(f79(x68291),x68292),x68294)),x68293)) % 183.16/183.18 [6830]~P109(x68301)+E(f333(f333(f80(x68301),f333(f333(f258(x68301),x68302),x68303)),f333(f333(f258(x68301),x68304),x68303)),f333(f333(f258(x68301),f333(f333(f80(x68301),x68302),x68304)),x68303)) % 183.16/183.18 [6831]~P73(x68311)+E(f333(f333(f80(x68311),f333(f333(f258(x68311),x68312),x68313)),f333(f333(f258(x68311),x68314),x68313)),f333(f333(f258(x68311),f333(f333(f80(x68311),x68312),x68314)),x68313)) % 183.16/183.18 [6832]~P58(x68321)+E(f333(f333(f291(x68321),f333(f333(f258(x68321),x68322),x68323)),f333(f333(f258(x68321),x68324),x68323)),f333(f333(f258(x68321),f333(f333(f291(x68321),x68322),x68324)),x68323)) % 183.16/183.18 [6833]~P117(x68331)+E(f333(f333(f22(x68331),f333(f333(f291(x68331),x68332),x68333)),f333(f333(f291(x68331),x68334),x68333)),f333(f333(f291(x68331),f333(f333(f22(x68331),x68332),x68334)),x68333)) % 183.16/183.18 [6834]~P117(x68341)+E(f333(f333(f79(x68341),f333(f333(f291(x68341),x68342),x68343)),f333(f333(f291(x68341),x68344),x68343)),f333(f333(f291(x68341),f333(f333(f79(x68341),x68342),x68344)),x68343)) % 183.16/183.18 [6835]~P106(x68351)+E(f333(f333(f246(x68351),f333(f333(f245(x68351),x68352),x68353)),f333(f333(f245(x68351),x68354),x68353)),f333(f333(f245(x68351),f333(f333(f246(x68351),x68352),x68354)),x68353)) % 183.16/183.18 [6836]~P106(x68361)+E(f333(f333(f245(x68361),f333(f333(f246(x68361),x68362),x68363)),f333(f333(f246(x68361),x68364),x68363)),f333(f333(f246(x68361),f333(f333(f245(x68361),x68362),x68364)),x68363)) % 183.16/183.18 [6837]~P109(x68371)+E(f333(f333(f79(x68371),f333(f333(f80(x68371),x68372),x68373)),f333(f333(f80(x68371),x68374),x68373)),f333(f333(f80(x68371),f333(f333(f79(x68371),x68372),x68374)),x68373)) % 183.16/183.18 [6869]E(f333(f333(f160(x68691,x68692),x68693),x68694),x68692)+~P23(f333(f333(f247(a875),f333(f197(f876(x68691)),x68692)),x68693)) % 183.16/183.18 [6894]~P23(f333(x68943,x68944))+P23(f333(f333(f333(f113(f882(x68941,a870)),x68942),x68943),x68944)) % 183.16/183.18 [6896]~P23(f333(x68962,x68964))+P23(f333(f333(f333(f113(f882(x68961,a870)),x68962),x68963),x68964)) % 183.16/183.18 [6917]E(f333(f333(f166(x69171),f333(f333(f135(x69171),x69172),x69173)),x69174),f333(f333(f166(x69171),x69172),x69174))+~P23(f333(f333(f248(a875),x69174),f333(f197(f876(x69171)),x69172))) % 183.16/183.18 [6927]E(f333(f333(f22(f882(x69271,a870)),f333(f333(f311(x69271),x69272),x69273)),x69274),f333(f333(f22(f882(x69271,a870)),x69273),x69274))+~P23(f333(f333(f335(x69271),x69272),x69274)) % 183.16/183.18 [6968]~E(f140(a875,f333(f303(a875,x69681),x69682)),f333(f333(f152(a875),x69684),x69683))+E(f140(a875,f333(f303(a875,f333(f333(f79(a875),x69681),f77(a875))),x69682)),x69683) % 183.16/183.18 [7041]E(x70411,f2(a875))+E(f333(f333(f152(x70412),x70413),f333(f333(f177(x70412),f333(f333(f22(a875),x70411),f77(a875))),x70414)),f333(f333(f177(x70412),x70411),f333(f333(f152(x70412),x70413),x70414))) % 183.16/183.18 [7141]E(f333(f333(f166(x71411),x71412),f333(f333(f22(a875),x71413),f333(f197(f876(x71411)),x71414))),f333(f333(f166(x71411),f333(f333(f135(x71411),x71414),x71412)),x71413))+P23(f333(f333(f248(a875),x71413),f333(f197(f876(x71411)),x71414))) % 183.16/183.18 [7171]E(f333(f333(f104(f882(x71711,a870)),x71712),f333(f333(f311(x71711),x71713),x71714)),f333(f333(f311(x71711),x71713),f333(f333(f104(f882(x71711,a870)),x71712),x71714)))+~P23(f333(f333(f335(x71711),x71713),x71712)) % 183.16/183.18 [7206]E(f333(f333(f166(x72061),f333(f333(f160(x72061,x72062),x72063),x72064)),x72063),x72064)+~P23(f333(f333(f248(a875),x72063),f333(f197(f876(x72061)),x72062))) % 183.16/183.18 [7227]E(x72271,f196(f882(x72272,a870)))+E(f333(f312(f881(x72273,x72272),x72273,f267(x72273,x72272)),f333(f333(f270(x72273,x72272),x72274),f333(f16(f882(x72272,a870),x72273),x72271))),x72274) % 183.16/183.18 [7228]E(x72281,f196(f882(x72282,a870)))+E(f333(f312(f881(x72282,x72283),x72283,f271(x72282,x72283)),f333(f333(f270(x72282,x72283),x72281),f333(f16(f882(x72283,a870),x72282),x72284))),x72284) % 183.16/183.18 [7295]E(f333(f333(f22(f882(x72951,a870)),f333(f333(f311(x72951),x72952),x72953)),x72954),f333(f333(f311(x72951),x72952),f333(f333(f22(f882(x72951,a870)),x72953),x72954)))+P23(f333(f333(f335(x72951),x72952),x72954)) % 183.16/183.18 [7327]P23(f333(x73271,x73272))+P23(f333(f333(f333(f333(a204,f31(x73271,x73273)),x73272),x73274),x73272)) % 183.16/183.18 [7334]~E(x73344,f196(f882(x73342,a870)))+E(f333(f312(f881(x73341,x73342),x73341,f267(x73341,x73342)),f333(f333(f270(x73341,x73342),x73343),f333(f16(f882(x73342,a870),x73341),x73344))),f196(f882(x73341,a870))) % 183.16/183.18 [7335]~E(x73353,f196(f882(x73351,a870)))+E(f333(f312(f881(x73351,x73352),x73352,f271(x73351,x73352)),f333(f333(f270(x73351,x73352),x73353),f333(f16(f882(x73352,a870),x73351),x73354))),f196(f882(x73352,a870))) % 183.16/183.18 [7391]~P23(f333(f333(f335(x73911),x73912),x73914))+P23(f333(f333(f335(x73911),x73912),f333(f333(f113(f882(x73911,a870)),x73913),x73914))) % 183.16/183.18 [7394]~P23(f333(f333(f335(x73941),x73942),x73943))+P23(f333(f333(f335(x73941),x73942),f333(f333(f113(f882(x73941,a870)),x73943),x73944))) % 183.16/183.18 [7413]E(f333(f333(f104(f882(x74131,a870)),f333(f333(f311(x74131),x74132),x74133)),x74134),f333(f333(f311(x74131),x74132),f333(f333(f104(f882(x74131,a870)),x74133),x74134)))+~P23(f333(f333(f335(x74131),x74132),x74134)) % 183.16/183.18 [7693]P23(f333(x76931,x76932))+~P23(f333(f333(f333(f104(f882(x76933,a870)),x76934),x76931),x76932)) % 183.16/183.18 [7694]P23(f333(x76941,x76942))+~P23(f333(f333(f333(f104(f882(x76943,a870)),x76941),x76944),x76942)) % 183.16/183.18 [7697]E(f333(f333(f6(x76971,a875),x76972),f333(f333(f22(f882(x76971,a870)),x76973),f333(f333(f311(x76971),x76974),f196(f882(x76971,a870))))),f333(f333(f6(x76971,a875),x76972),x76973))+P23(f333(f333(f335(x76971),x76974),x76973)) % 183.16/183.18 [7703]~P66(x77031)+E(f333(f167(x77031),f333(f333(f155(a875,x77031),x77032),f140(a875,f333(f303(a875,x77033),x77034)))),f333(f333(f6(a875,x77031),x77032),f333(f174(a875),f140(a875,f333(f303(a875,x77033),x77034))))) % 183.16/183.18 [7704]~P66(x77041)+E(f333(f333(f6(a875,x77041),x77042),f333(f174(a875),f140(a875,f333(f303(a875,x77043),x77044)))),f333(f167(x77041),f333(f333(f155(a875,x77041),x77042),f140(a875,f333(f303(a875,x77043),x77044))))) % 183.16/183.18 [7819]~E(x78193,x78194)+P23(f333(f62(x78191,x78192,f333(f333(f311(x78191),x78193),f196(f882(x78191,a870)))),x78194)) % 183.16/183.18 [7916]P23(f333(f333(f335(x79161),x79162),f333(f174(x79161),x79163)))+~P23(f333(f333(f335(x79161),x79162),f333(f174(x79161),f333(f333(f177(x79161),x79164),x79163)))) % 183.16/183.18 [7917]P23(f333(f333(f335(x79171),x79172),f333(f174(x79171),x79173)))+~P23(f333(f333(f335(x79171),x79172),f333(f174(x79171),f333(f333(f139(x79171),x79174),x79173)))) % 183.16/183.18 [7991]P23(f333(f333(f335(x79911),x79912),x79913))+~P23(f333(f333(f335(x79911),x79912),f333(f333(f22(f882(x79911,a870)),x79913),x79914))) % 183.16/183.18 [7993]P23(f333(f333(f335(x79931),x79932),x79933))+~P23(f333(f333(f335(x79931),x79932),f333(f333(f104(f882(x79931,a870)),x79934),x79933))) % 183.16/183.18 [7996]P23(f333(f333(f335(x79961),x79962),x79963))+~P23(f333(f333(f335(x79961),x79962),f333(f333(f104(f882(x79961,a870)),x79963),x79964))) % 183.16/183.18 [8014]E(f333(f333(f135(x80141),f333(f333(f177(x80141),x80142),x80143)),f333(f333(f152(x80141),x80144),f333(f333(f139(x80141),f333(a115,x80142)),x80143))),f333(f333(f160(x80141,x80143),x80142),x80144))+~P23(f333(f333(f248(a875),x80142),f333(f197(f876(x80141)),x80143))) % 183.16/183.18 [8039]P23(f333(f333(f335(x80391),x80392),x80393))+~P23(f333(f333(f247(f882(x80391,a870)),f333(f333(f311(x80391),x80392),x80394)),x80393)) % 183.16/183.18 [8072]~P23(f333(f333(f335(x80721),x80722),x80723))+~P23(f333(f333(f335(x80721),x80722),f333(f333(f22(f882(x80721,a870)),x80724),x80723))) % 183.16/183.18 [8105]~P23(f333(f333(f248(a875),x81054),f333(f197(f876(x81051)),x81053)))+P23(f333(f333(f335(x81051),x81052),f333(f174(x81051),f333(f333(f160(x81051,x81053),x81054),x81052)))) % 183.16/183.18 [8161]E(f333(f333(f166(x81611),f333(f333(f139(x81611),x81612),x81613)),x81614),f333(f333(f166(x81611),x81613),f333(f333(f79(a875),x81612),x81614)))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x81612),x81614)),f333(f197(f876(x81611)),x81613))) % 183.16/183.18 [8171]~P141(x81712)+E(f333(f333(f6(x81711,x81712),f333(f333(f8(a875,x81712,x81711),f103(x81712)),x81713)),x81714),f333(f103(x81712),f333(f333(f6(x81711,a875),x81713),x81714))) % 183.16/183.18 [8172]~P138(x81722)+E(f333(f333(f6(x81721,x81722),f333(f333(f8(a1,x81722,x81721),f105(x81722)),x81723)),x81724),f333(f105(x81722),f333(f333(f6(x81721,a1),x81723),x81724))) % 183.16/183.18 [8225]~P61(x82252)+E(f333(f333(f9(x82251,x82252),f333(f333(f8(x82252,x82252,x82251),f74(x82252)),x82253)),x82254),f333(f74(x82252),f333(f333(f9(x82251,x82252),x82253),x82254))) % 183.16/183.18 [8226]~P65(x82262)+E(f333(f333(f6(x82261,x82262),f333(f333(f8(x82262,x82262,x82261),f78(x82262)),x82263)),x82264),f333(f78(x82262),f333(f333(f6(x82261,x82262),x82263),x82264))) % 183.16/183.18 [8228]E(f333(f333(f6(x82281,a875),x82282),f333(f333(f22(f882(x82281,a870)),x82283),f333(f333(f311(x82281),x82284),f196(f882(x82281,a870))))),f333(f333(f22(a875),f333(f333(f6(x82281,a875),x82282),x82283)),f333(x82282,x82284)))+~P23(f333(f333(f335(x82281),x82284),x82283)) % 183.16/183.18 [8248]P23(f333(f333(f247(f882(x82481,a870)),x82482),x82483))+~P23(f333(f333(f247(f882(x82481,a870)),f333(f333(f311(x82481),x82484),x82482)),x82483)) % 183.16/183.18 [8457]E(f333(a115,f477(x84571,x84572,x84573,x84574)),x84572)+~P23(f333(f333(f333(f333(a204,f333(a25,x84574)),x84573),x84572),x84571)) % 183.16/183.18 [8459]E(f333(f333(f180(x84591,x84592),x84593),x84594),f209(x84592))+P23(f333(f333(f335(x84591),x84594),f333(f312(f881(x84591,x84592),x84591,f267(x84591,x84592)),f333(f174(f881(x84591,x84592)),x84593)))) % 183.16/183.18 [8460]P37(x84601,x84602)+~P37(x84601,f333(f333(f311(f881(x84601,x84601)),f333(f333(f268(x84601,x84601),x84603),x84604)),x84602)) % 183.16/183.18 [8461]P52(x84611,x84612)+~P52(x84611,f333(f333(f311(f881(x84611,x84611)),f333(f333(f268(x84611,x84611),x84613),x84614)),x84612)) % 183.16/183.18 [8469]~P106(x84691)+E(f333(f333(f149(x84691,x84691,f5(x84691)),x84692),f333(f333(f149(x84691,x84691,f5(x84691)),x84693),x84694)),f333(f333(f149(x84691,x84691,f5(x84691)),x84693),f333(f333(f149(x84691,x84691,f5(x84691)),x84692),x84694))) % 183.16/183.18 [8479]E(x84791,x84792)+~P23(f333(f62(x84793,x84794,f333(f333(f311(x84793),x84791),f196(f882(x84793,a870)))),x84792)) % 183.16/183.18 [8489]E(f333(f333(f135(x84891),f333(f333(f177(x84891),x84892),x84893)),f333(f333(f177(x84891),x84894),f333(f333(f139(x84891),x84892),x84893))),f333(f333(f177(x84891),f333(f333(f79(a875),x84892),x84894)),x84893))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x84892),x84894)),f333(f197(f876(x84891)),x84893))) % 183.16/183.18 [8529]P23(f333(f61(x85291),x85292))+~E(x85292,f333(f312(a875,x85291,x85293),f333(f253(a875),f333(f333(f7(a875,a875,a870),f248(a875)),x85294)))) % 183.16/183.18 [8549]~P88(x85491)+E(f333(f143(x85491,x85491,f79(x85491),f333(f333(f79(x85491),x85492),x85493)),x85494),f333(f333(f79(x85491),x85492),f333(f143(x85491,x85491,f79(x85491),x85493),x85494))) % 183.16/183.18 [8582]P23(f333(f333(f247(f882(x85821,a870)),f333(f266(x85821,x85822),x85823)),f333(f266(x85821,x85822),x85824)))+~P23(f333(f333(f247(f882(f881(x85821,x85822),a870)),x85823),x85824)) % 183.16/183.18 [8595]~P23(f333(f333(f247(a875),x85952),x85954))+P23(f333(f333(f247(f882(x85951,a870)),f333(f174(x85951),f333(f333(f177(x85951),x85952),x85953))),f333(f174(x85951),f333(f333(f177(x85951),x85954),x85953)))) % 183.16/183.18 [8596]~P23(f333(f333(f247(a875),x85964),x85962))+P23(f333(f333(f247(f882(x85961,a870)),f333(f174(x85961),f333(f333(f139(x85961),x85962),x85963))),f333(f174(x85961),f333(f333(f139(x85961),x85964),x85963)))) % 183.16/183.18 [8649]~P23(f333(f61(x86491),f333(f333(f22(f882(x86491,a870)),x86492),x86494)))+P23(f333(f61(x86491),f333(f333(f22(f882(x86491,a870)),x86492),f333(f333(f311(x86491),x86493),x86494)))) % 183.16/183.18 [8685]P23(f333(f333(f335(f881(x86851,x86851)),x86852),f309(x86851,x86853)))+~P23(f333(f333(f335(f881(x86851,x86851)),x86852),f333(f333(f191(f881(x86851,x86851),a870),x86854),x86853))) % 183.16/183.18 [8762]~P23(f333(f61(x87621),f333(f333(f22(f882(x87621,a870)),x87622),f333(f333(f311(x87621),x87624),x87623))))+P23(f333(f61(x87621),f333(f333(f22(f882(x87621,a870)),x87622),x87623))) % 183.16/183.18 [8911]~E(f333(f333(f180(x89111,x89112),x89113),x89114),f209(x89112))+~P23(f333(f333(f335(x89111),x89114),f333(f312(f881(x89111,x89112),x89111,f267(x89111,x89112)),f333(f174(f881(x89111,x89112)),x89113)))) % 183.16/183.18 [8979]~P62(x89791)+P23(f333(f333(f247(x89791),f333(f333(f113(x89791),x89792),f333(f333(f104(x89791),x89793),x89794))),f333(f333(f104(x89791),f333(f333(f113(x89791),x89792),x89793)),f333(f333(f113(x89791),x89792),x89794)))) % 183.16/183.18 [8980]~P106(x89801)+P23(f333(f333(f247(x89801),f333(f333(f246(x89801),x89802),f333(f333(f245(x89801),x89803),x89804))),f333(f333(f245(x89801),f333(f333(f246(x89801),x89802),x89803)),f333(f333(f246(x89801),x89802),x89804)))) % 183.16/183.18 [9125]E(x91251,x91252)+~P23(f333(f333(f335(f881(x91253,x91253)),f333(f333(f268(x91253,x91253),x91251),x91252)),f333(f174(f881(x91253,x91253)),f333(f333(f184(x91253,x91253),x91254),x91254)))) % 183.16/183.18 [9158]~P23(f333(f333(f335(f881(x91581,x91581)),f333(f333(f268(x91581,x91581),x91583),x91582)),f309(x91581,x91584)))+~P37(x91581,f333(f333(f311(f881(x91581,x91581)),f333(f333(f268(x91581,x91581),x91582),x91583)),x91584)) % 183.16/183.18 [9159]~P23(f333(f333(f335(f881(x91591,x91591)),f333(f333(f268(x91591,x91591),x91593),x91592)),f309(x91591,x91594)))+~P52(x91591,f333(f333(f311(f881(x91591,x91591)),f333(f333(f268(x91591,x91591),x91592),x91593)),x91594)) % 183.16/183.18 [9164]E(x91641,x91642)+E(f333(f137(x91643,f333(f333(f8(a870,a870,x91643),a328),f333(a330,x91641))),f333(f333(f152(x91643),x91642),x91644)),f333(f333(f152(x91643),x91642),f333(f137(x91643,f333(f333(f8(a870,a870,x91643),a328),f333(a330,x91641))),x91644))) % 183.16/183.18 [9208]~P62(x92081)+P23(f333(f333(f247(x92081),f333(f333(f113(x92081),f333(f333(f104(x92081),x92082),x92083)),f333(f333(f104(x92081),x92082),x92084))),f333(f333(f104(x92081),x92082),f333(f333(f113(x92081),x92083),x92084)))) % 183.16/183.18 [9209]~P106(x92091)+P23(f333(f333(f247(x92091),f333(f333(f246(x92091),f333(f333(f245(x92091),x92092),x92093)),f333(f333(f245(x92091),x92092),x92094))),f333(f333(f245(x92091),x92092),f333(f333(f246(x92091),x92093),x92094)))) % 183.16/183.18 [9283]~E(f333(f312(x92832,x92831,x92833),f256(f882(x92832,a870))),f256(f882(x92831,a870)))+P23(f333(f333(f247(f882(x92831,a870)),f333(f78(f882(x92831,a870)),f333(f312(x92832,x92831,x92833),x92834))),f333(f312(x92832,x92831,x92833),f333(f78(f882(x92832,a870)),x92834)))) % 183.16/183.18 [9361]P23(f333(f333(f333(f333(a204,f333(f244(a871),f333(a27,x93611))),x93612),f477(x93613,x93614,x93612,x93611)),x93613))+~P23(f333(f333(f333(f333(a204,f333(a25,x93611)),x93612),x93614),x93613)) % 183.16/183.18 [9603]P23(f333(f333(f335(f881(x96031,x96031)),f333(f333(f268(x96031,x96031),x96032),x96033)),f333(f288(x96031,x96031),f333(f333(f290(x96031,x96031,x96031),x96034),f309(x96031,x96034)))))+~P23(f333(f333(f335(f881(x96031,x96031)),f333(f333(f268(x96031,x96031),x96032),x96033)),f333(f333(f290(x96031,x96031,x96031),f333(f288(x96031,x96031),x96034)),f309(x96031,f333(f288(x96031,x96031),x96034))))) % 183.16/183.18 [9604]~P23(f333(f333(f335(f881(x96041,x96041)),f333(f333(f268(x96041,x96041),x96042),x96043)),f333(f288(x96041,x96041),f333(f333(f290(x96041,x96041,x96041),x96044),f309(x96041,x96044)))))+P23(f333(f333(f335(f881(x96041,x96041)),f333(f333(f268(x96041,x96041),x96042),x96043)),f333(f333(f290(x96041,x96041,x96041),f333(f288(x96041,x96041),x96044)),f309(x96041,f333(f288(x96041,x96041),x96044))))) % 183.16/183.18 [9625]~P23(f333(f333(f335(x96252),x96254),f333(f264(x96251,x96252),x96253)))+P23(f333(f333(f335(f881(x96251,x96252)),f333(f333(f268(x96251,x96252),f570(x96253,x96251,x96254,x96252)),x96254)),x96253)) % 183.16/183.18 [9626]~P23(f333(f333(f335(x96262),x96264),f333(f264(x96261,x96262),x96263)))+P23(f333(f333(f335(f881(x96261,x96262)),f333(f333(f268(x96261,x96262),f573(x96263,x96261,x96264,x96262)),x96264)),x96263)) % 183.16/183.18 [9651]~P23(f333(f333(f335(x96511),x96514),f333(f333(f113(f882(x96511,a870)),x96512),x96513)))+P23(f333(f333(f333(f113(f882(x96511,a870)),f333(f333(f7(x96511,f882(x96511,a870),a870),f335(x96511)),x96512)),f333(f333(f7(x96511,f882(x96511,a870),a870),f335(x96511)),x96513)),x96514)) % 183.16/183.18 [9652]~P23(f333(f333(f335(x96521),x96524),f333(f333(f104(f882(x96521,a870)),x96522),x96523)))+P23(f333(f333(f333(f104(f882(x96521,a870)),f333(f333(f7(x96521,f882(x96521,a870),a870),f335(x96521)),x96522)),f333(f333(f7(x96521,f882(x96521,a870),a870),f335(x96521)),x96523)),x96524)) % 183.16/183.18 [9728]~P23(f333(f333(f335(f881(x97281,x97281)),f333(f333(f268(x97281,x97281),x97284),x97283)),f333(f333(f290(x97281,x97281,x97281),x97282),f309(x97281,x97282))))+P23(f333(f333(f335(f881(x97281,x97281)),f333(f333(f268(x97281,x97281),f650(x97282,x97283,x97284,x97281)),x97283)),x97282)) % 183.16/183.18 [9773]P23(f333(f333(f335(x97731),x97732),f333(f333(f113(f882(x97731,a870)),x97733),x97734)))+~P23(f333(f333(f333(f113(f882(x97731,a870)),f333(f333(f7(x97731,f882(x97731,a870),a870),f335(x97731)),x97733)),f333(f333(f7(x97731,f882(x97731,a870),a870),f335(x97731)),x97734)),x97732)) % 183.16/183.18 [9774]P23(f333(f333(f335(x97741),x97742),f333(f333(f104(f882(x97741,a870)),x97743),x97744)))+~P23(f333(f333(f333(f104(f882(x97741,a870)),f333(f333(f7(x97741,f882(x97741,a870),a870),f335(x97741)),x97743)),f333(f333(f7(x97741,f882(x97741,a870),a870),f335(x97741)),x97744)),x97742)) % 183.16/183.18 [10053]P32(x100531,f333(f333(f7(x100531,f882(f881(x100531,x100531),a870),f882(x100531,a870)),f333(f333(f8(f882(x100531,f882(f882(f881(x100531,x100531),a870),a870)),f882(f882(f881(x100531,x100531),a870),f882(x100531,a870)),x100531),f7(x100531,f882(f881(x100531,x100531),a870),a870)),f333(f333(f8(f882(x100531,f881(x100531,x100531)),f882(x100531,f882(f882(f881(x100531,x100531),a870),a870)),x100531),f333(f8(f881(x100531,x100531),f882(f882(f881(x100531,x100531),a870),a870),x100531),f335(f881(x100531,x100531)))),f268(x100531,x100531)))),x100532),x100533,x100534)+~P23(f333(f333(f335(f881(f876(x100531),f876(x100531))),f333(f333(f268(f876(x100531),f876(x100531)),x100533),x100534)),f159(x100531,x100532))) % 183.16/183.18 [10057]P53(x100571,f333(f333(f7(x100571,f882(f881(x100571,x100571),a870),f882(x100571,a870)),f333(f333(f8(f882(x100571,f882(f882(f881(x100571,x100571),a870),a870)),f882(f882(f881(x100571,x100571),a870),f882(x100571,a870)),x100571),f7(x100571,f882(f881(x100571,x100571),a870),a870)),f333(f333(f8(f882(x100571,f881(x100571,x100571)),f882(x100571,f882(f882(f881(x100571,x100571),a870),a870)),x100571),f333(f8(f881(x100571,x100571),f882(f882(f881(x100571,x100571),a870),a870),x100571),f335(f881(x100571,x100571)))),f268(x100571,x100571)))),x100572),x100573,x100574)+~P23(f333(f333(f335(f881(f882(x100571,a870),f882(x100571,a870))),f333(f333(f268(f882(x100571,a870),f882(x100571,a870)),x100573),x100574)),f325(x100571,x100572))) % 183.16/183.18 [10086]E(x100861,x100862)+~E(f333(f333(f7(x100863,f882(f881(x100863,x100864),a870),f882(x100864,a870)),f333(f333(f8(f882(x100864,f882(f882(f881(x100863,x100864),a870),a870)),f882(f882(f881(x100863,x100864),a870),f882(x100864,a870)),x100863),f7(x100864,f882(f881(x100863,x100864),a870),a870)),f333(f333(f8(f882(x100864,f881(x100863,x100864)),f882(x100864,f882(f882(f881(x100863,x100864),a870),a870)),x100863),f333(f8(f881(x100863,x100864),f882(f882(f881(x100863,x100864),a870),a870),x100864),f335(f881(x100863,x100864)))),f268(x100863,x100864)))),x100861),f333(f333(f7(x100863,f882(f881(x100863,x100864),a870),f882(x100864,a870)),f333(f333(f8(f882(x100864,f882(f882(f881(x100863,x100864),a870),a870)),f882(f882(f881(x100863,x100864),a870),f882(x100864,a870)),x100863),f7(x100864,f882(f881(x100863,x100864),a870),a870)),f333(f333(f8(f882(x100864,f881(x100863,x100864)),f882(x100864,f882(f882(f881(x100863,x100864),a870),a870)),x100863),f333(f8(f881(x100863,x100864),f882(f882(f881(x100863,x100864),a870),a870),x100864),f335(f881(x100863,x100864)))),f268(x100863,x100864)))),x100862)) % 183.16/183.18 [10090]~P32(x100901,f333(f333(f7(x100901,f882(f881(x100901,x100901),a870),f882(x100901,a870)),f333(f333(f8(f882(x100901,f882(f882(f881(x100901,x100901),a870),a870)),f882(f882(f881(x100901,x100901),a870),f882(x100901,a870)),x100901),f7(x100901,f882(f881(x100901,x100901),a870),a870)),f333(f333(f8(f882(x100901,f881(x100901,x100901)),f882(x100901,f882(f882(f881(x100901,x100901),a870),a870)),x100901),f333(f8(f881(x100901,x100901),f882(f882(f881(x100901,x100901),a870),a870),x100901),f335(f881(x100901,x100901)))),f268(x100901,x100901)))),x100904),x100902,x100903)+P23(f333(f333(f335(f881(f876(x100901),f876(x100901))),f333(f333(f268(f876(x100901),f876(x100901)),x100902),x100903)),f159(x100901,x100904))) % 183.16/183.18 [10091]~P53(x100911,f333(f333(f7(x100911,f882(f881(x100911,x100911),a870),f882(x100911,a870)),f333(f333(f8(f882(x100911,f882(f882(f881(x100911,x100911),a870),a870)),f882(f882(f881(x100911,x100911),a870),f882(x100911,a870)),x100911),f7(x100911,f882(f881(x100911,x100911),a870),a870)),f333(f333(f8(f882(x100911,f881(x100911,x100911)),f882(x100911,f882(f882(f881(x100911,x100911),a870),a870)),x100911),f333(f8(f881(x100911,x100911),f882(f882(f881(x100911,x100911),a870),a870),x100911),f335(f881(x100911,x100911)))),f268(x100911,x100911)))),x100914),x100912,x100913)+P23(f333(f333(f335(f881(f882(x100911,a870),f882(x100911,a870))),f333(f333(f268(f882(x100911,a870),f882(x100911,a870)),x100912),x100913)),f325(x100911,x100914))) % 183.16/183.18 [7465]~P90(x74651)+E(f333(f333(f79(x74651),f333(f106(x74651),x74652)),f333(f333(f22(x74651),f333(f106(x74651),x74653)),x74654)),f333(f333(f22(x74651),f333(f106(x74651),f333(f333(f79(a1),x74652),x74653))),x74654)) % 183.16/183.18 [7466]~P90(x74661)+E(f333(f333(f79(x74661),f333(f106(x74661),x74662)),f333(f333(f79(x74661),f333(f106(x74661),x74663)),x74664)),f333(f333(f79(x74661),f333(f106(x74661),f333(f333(f79(a1),x74662),x74663))),x74664)) % 183.16/183.18 [7467]~P90(x74671)+E(f333(f333(f80(x74671),f333(f106(x74671),x74672)),f333(f333(f80(x74671),f333(f106(x74671),x74673)),x74674)),f333(f333(f80(x74671),f333(f106(x74671),f333(f333(f80(a1),x74672),x74673))),x74674)) % 183.16/183.18 [7512]~P141(x75121)+E(f333(f167(x75121),f333(f333(f155(x75122,x75121),f333(f16(x75121,x75122),x75123)),x75124)),f333(f333(f80(x75121),f333(f103(x75121),f333(f197(f876(x75122)),x75124))),x75123)) % 183.16/183.18 [7750]E(f333(f279(x77501,f333(f333(f152(f881(a102,x77501)),x77502),x77503)),x77504),f333(f271(a102,x77501),x77502))+~P23(f333(f333(f248(a102),x77504),f333(f267(a102,x77501),x77502))) % 183.16/183.18 [7797]~P90(x77971)+E(f333(f333(f79(x77971),f333(f106(x77971),x77972)),f333(f333(f22(x77971),x77973),f333(f106(x77971),x77974))),f333(f333(f79(x77971),f333(f106(x77971),f333(f333(f79(a1),x77972),f333(f78(a1),x77974)))),x77973)) % 183.16/183.18 [7929]E(f333(f279(x79291,x79292),f333(f333(f22(a102),x79293),f333(f267(a102,x79291),x79294))),f333(f279(x79291,f333(f333(f152(f881(a102,x79291)),x79294),x79292)),x79293))+P23(f333(f333(f248(a102),x79293),f333(f267(a102,x79291),x79294))) % 183.16/183.18 [8374]~P23(f333(f333(f335(x83741),x83742),f333(f174(x83741),f117(x83741,x83744))))+P23(f333(f333(f335(x83741),x83742),f333(f174(x83741),f117(x83741,f333(f333(f135(x83741),x83743),x83744))))) % 183.16/183.18 [8375]~P23(f333(f333(f335(x83751),x83752),f333(f174(x83751),f117(x83751,x83753))))+P23(f333(f333(f335(x83751),x83752),f333(f174(x83751),f117(x83751,f333(f333(f135(x83751),x83753),x83754))))) % 183.16/183.18 [8395]E(f333(f333(f113(f882(x83951,a870)),f333(f333(f104(f882(x83951,a870)),x83952),x83953)),x83954),f333(f333(f104(f882(x83951,a870)),x83952),f333(f333(f113(f882(x83951,a870)),x83953),x83954)))+~P23(f333(f333(f247(f882(x83951,a870)),x83954),x83952)) % 183.16/183.18 [8698]~E(f333(f333(f113(f882(x86981,a870)),f333(f333(f104(f882(x86981,a870)),x86983),x86984)),x86982),f333(f333(f104(f882(x86981,a870)),x86983),f333(f333(f113(f882(x86981,a870)),x86984),x86982)))+P23(f333(f333(f247(f882(x86981,a870)),x86982),x86983)) % 183.16/183.18 [8985]~P23(f333(f333(f247(f882(x89851,a870)),x89852),f333(f333(f113(f882(x89851,a870)),x89853),x89854)))+P23(f333(f333(f247(f882(x89851,a870)),f333(f333(f22(f882(x89851,a870)),x89852),x89853)),x89854)) % 183.16/183.18 [9044]~P23(f333(f333(f333(f333(a204,f333(a25,x90441)),x90442),f333(a115,x90443)),x90444))+P23(f333(f333(f333(f333(a204,f333(f244(a871),f333(a27,x90441))),x90442),x90443),x90444)) % 183.16/183.18 [9104]P23(f333(f333(f247(f882(x91041,a870)),x91042),f333(f333(f113(f882(x91041,a870)),x91043),x91044)))+~P23(f333(f333(f247(f882(x91041,a870)),f333(f333(f22(f882(x91041,a870)),x91042),x91043)),x91044)) % 183.16/183.18 [9157]P23(f333(f333(f333(f333(a204,f333(a25,x91571)),x91572),f333(a115,x91573)),x91574))+~P23(f333(f333(f333(f333(a204,f333(f244(a871),f333(a27,x91571))),x91572),x91573),x91574)) % 183.16/183.18 [9189]~P83(x91891)+E(f333(f74(x91891),f333(f333(f6(x91892,x91891),f333(f333(f8(x91891,x91891,x91892),f74(x91891)),x91893)),x91894)),f333(f333(f6(x91892,x91891),f333(f333(f8(x91891,x91891,x91892),f74(x91891)),x91893)),x91894)) % 183.16/183.18 [9359]~P83(x93591)+P23(f333(f333(f247(x93591),f2(x93591)),f333(f333(f6(x93592,x93591),f333(f333(f8(x93591,x93591,x93592),f74(x93591)),x93593)),x93594))) % 183.16/183.18 [9364]~P65(x93641)+E(f333(f167(x93641),f333(f333(f155(x93642,x93641),f333(f72(x93641,x93641,x93642,f78(x93641)),x93643)),x93644)),f333(f78(x93641),f333(f167(x93641),f333(f333(f155(x93642,x93641),x93643),x93644)))) % 183.16/183.18 [9498]~P83(x94981)+P23(f333(f333(f247(x94981),f333(f74(x94981),f333(f333(f6(x94982,x94981),x94983),x94984))),f333(f333(f6(x94982,x94981),f333(f333(f8(x94981,x94981,x94982),f74(x94981)),x94983)),x94984))) % 183.16/183.18 [9528]~E(f333(f333(f79(a875),x95281),x95284),f333(f333(f79(a875),x95283),x95282))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x95281),x95282)),f333(f333(f268(a875,a875),x95283),x95284))),a111)) % 183.16/183.18 [9529]~P23(f333(f333(f248(a875),x95291),x95293))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x95291),x95292)),f333(f333(f268(a875,a875),x95293),x95294))),a34)) % 183.16/183.18 [9530]~P23(f333(f333(f248(a875),x95301),x95303))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x95301),x95302)),f333(f333(f268(a875,a875),x95303),x95304))),a69)) % 183.16/183.18 [9676]E(f333(f333(f79(a875),x96761),x96762),f333(f333(f79(a875),x96763),x96764))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x96761),x96764)),f333(f333(f268(a875,a875),x96763),x96762))),a111)) % 183.16/183.18 [9702]E(f333(f333(f166(x97021),f333(f333(f139(x97021),f333(f197(f876(x97021)),f179(x97021,x97022,x97023))),x97023)),x97024),f333(f333(f166(x97021),x97023),f333(f333(f79(a875),x97024),f333(f197(f876(x97021)),f179(x97021,x97022,x97023)))))+~P23(f333(f333(f248(a875),x97024),f333(f197(f876(x97021)),f333(f333(f139(x97021),f333(f197(f876(x97021)),f179(x97021,x97022,x97023))),x97023)))) % 183.16/183.18 [9719]~P23(f333(f333(f335(x97192),x97194),f333(f333(f41(x97191,f882(x97192,a870)),f256(f882(x97191,a870))),x97193)))+P23(f333(f333(f333(f41(x97191,f882(x97192,a870)),f256(f882(x97191,a870))),f333(f333(f8(f882(x97192,a870),f882(x97192,a870),x97191),f333(f7(x97192,f882(x97192,a870),a870),f335(x97192))),x97193)),x97194)) % 183.16/183.18 [9720]~P23(f333(f333(f335(x97202),x97204),f333(f333(f42(x97201,f882(x97202,a870)),f256(f882(x97201,a870))),x97203)))+P23(f333(f333(f333(f42(x97201,f882(x97202,a870)),f256(f882(x97201,a870))),f333(f333(f8(f882(x97202,a870),f882(x97202,a870),x97201),f333(f7(x97202,f882(x97202,a870),a870),f335(x97202))),x97203)),x97204)) % 183.16/183.18 [9801]~P23(f333(f48(x98011,x98012),f333(f333(f268(a1,a1),x98014),x98013)))+P23(f333(f48(f333(f78(a1),x98011),x98012),f333(f333(f268(a1,a1),f333(f333(f333(f99(a1),f333(f333(a330,x98013),f2(a1))),f333(f78(a1),x98014)),f333(f333(f22(a1),f333(f78(a1),x98014)),f77(a1)))),f333(f333(f333(f99(a1),f333(f333(a330,x98013),f2(a1))),f2(a1)),f333(f333(f22(a1),x98012),x98013))))) % 183.16/183.18 [9810]P23(f333(f333(f335(x98101),x98102),f333(f333(f41(x98103,f882(x98101,a870)),f256(f882(x98103,a870))),x98104)))+~P23(f333(f333(f333(f41(x98103,f882(x98101,a870)),f256(f882(x98103,a870))),f333(f333(f8(f882(x98101,a870),f882(x98101,a870),x98103),f333(f7(x98101,f882(x98101,a870),a870),f335(x98101))),x98104)),x98102)) % 183.16/183.18 [9811]P23(f333(f333(f335(x98111),x98112),f333(f333(f42(x98113,f882(x98111,a870)),f256(f882(x98113,a870))),x98114)))+~P23(f333(f333(f333(f42(x98113,f882(x98111,a870)),f256(f882(x98113,a870))),f333(f333(f8(f882(x98111,a870),f882(x98111,a870),x98113),f333(f7(x98111,f882(x98111,a870),a870),f335(x98111))),x98114)),x98112)) % 183.16/183.18 [9823]E(f333(f333(f41(a875,f882(x98231,a870)),f256(f882(a875,a870))),x98232),f333(f333(f41(a875,f882(x98231,a870)),f256(f882(a875,a870))),x98233))+~E(f333(f333(f41(a875,f882(x98231,a870)),f333(f303(a875,f2(a875)),f394(x98232,x98234,x98233,x98231))),x98233),f333(f333(f41(a875,f882(x98231,a870)),f333(f303(a875,f2(a875)),f333(f333(f79(a875),f394(x98232,x98234,x98233,x98231)),x98234))),x98232)) % 183.16/183.18 [10144]~P23(f333(f333(f247(f882(f881(x101441,x101442),a870)),x101443),x101444))+P23(f333(f333(f247(f882(x101441,f882(x101442,a870))),f333(f333(f7(x101441,f882(f881(x101441,x101442),a870),f882(x101442,a870)),f333(f333(f8(f882(x101442,f882(f882(f881(x101441,x101442),a870),a870)),f882(f882(f881(x101441,x101442),a870),f882(x101442,a870)),x101441),f7(x101442,f882(f881(x101441,x101442),a870),a870)),f333(f333(f8(f882(x101442,f881(x101441,x101442)),f882(x101442,f882(f882(f881(x101441,x101442),a870),a870)),x101441),f333(f8(f881(x101441,x101442),f882(f882(f881(x101441,x101442),a870),a870),x101442),f335(f881(x101441,x101442)))),f268(x101441,x101442)))),x101443)),f333(f333(f7(x101441,f882(f881(x101441,x101442),a870),f882(x101442,a870)),f333(f333(f8(f882(x101442,f882(f882(f881(x101441,x101442),a870),a870)),f882(f882(f881(x101441,x101442),a870),f882(x101442,a870)),x101441),f7(x101442,f882(f881(x101441,x101442),a870),a870)),f333(f333(f8(f882(x101442,f881(x101441,x101442)),f882(x101442,f882(f882(f881(x101441,x101442),a870),a870)),x101441),f333(f8(f881(x101441,x101442),f882(f882(f881(x101441,x101442),a870),a870),x101442),f335(f881(x101441,x101442)))),f268(x101441,x101442)))),x101444))) % 183.16/183.18 [10161]P23(f333(f333(f247(f882(f881(x101611,x101612),a870)),x101613),x101614))+~P23(f333(f333(f247(f882(x101611,f882(x101612,a870))),f333(f333(f7(x101611,f882(f881(x101611,x101612),a870),f882(x101612,a870)),f333(f333(f8(f882(x101612,f882(f882(f881(x101611,x101612),a870),a870)),f882(f882(f881(x101611,x101612),a870),f882(x101612,a870)),x101611),f7(x101612,f882(f881(x101611,x101612),a870),a870)),f333(f333(f8(f882(x101612,f881(x101611,x101612)),f882(x101612,f882(f882(f881(x101611,x101612),a870),a870)),x101611),f333(f8(f881(x101611,x101612),f882(f882(f881(x101611,x101612),a870),a870),x101612),f335(f881(x101611,x101612)))),f268(x101611,x101612)))),x101613)),f333(f333(f7(x101611,f882(f881(x101611,x101612),a870),f882(x101612,a870)),f333(f333(f8(f882(x101612,f882(f882(f881(x101611,x101612),a870),a870)),f882(f882(f881(x101611,x101612),a870),f882(x101612,a870)),x101611),f7(x101612,f882(f881(x101611,x101612),a870),a870)),f333(f333(f8(f882(x101612,f881(x101611,x101612)),f882(x101612,f882(f882(f881(x101611,x101612),a870),a870)),x101611),f333(f8(f881(x101611,x101612),f882(f882(f881(x101611,x101612),a870),a870),x101612),f335(f881(x101611,x101612)))),f268(x101611,x101612)))),x101614))) % 183.16/183.18 [9238]~P23(f333(f333(f335(f881(x92381,x92381)),x92382),f309(x92381,x92384)))+P23(f333(f333(f335(f881(x92381,x92381)),x92382),f309(x92381,f333(f333(f113(f882(f881(x92381,x92381),a870)),x92383),x92384)))) % 183.16/183.18 [9239]~P23(f333(f333(f335(f881(x92391,x92391)),x92392),f309(x92391,x92393)))+P23(f333(f333(f335(f881(x92391,x92391)),x92392),f309(x92391,f333(f333(f113(f882(f881(x92391,x92391),a870)),x92393),x92394)))) % 183.16/183.18 [9595]~E(f333(f174(x95951),x95954),f186(x95951,x95952,x95953))+E(f333(f180(x95951,x95952),f333(f333(f155(x95951,f881(x95951,x95952)),f333(f333(f18(x95951,x95952,f881(x95951,x95952)),f268(x95951,x95952)),f333(f333(f8(f879(x95952),x95952,x95951),f244(x95952)),x95953))),x95954)),x95953) % 183.16/183.18 [9917]~P23(f333(f333(f248(a875),f333(f333(f79(a875),x99171),x99174)),f333(f333(f79(a875),x99173),x99172)))+P23(f333(f333(f248(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99171),x99172)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99173),x99174)),f196(f882(f881(a875,a875),a870))))))) % 183.16/183.18 [9918]~P23(f333(f333(f247(a875),f333(f333(f79(a875),x99181),x99184)),f333(f333(f79(a875),x99183),x99182)))+P23(f333(f333(f247(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99181),x99182)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99183),x99184)),f196(f882(f881(a875,a875),a870))))))) % 183.16/183.18 [9995]P23(f333(f333(f248(a875),f333(f333(f79(a875),x99951),x99952)),f333(f333(f79(a875),x99953),x99954)))+~P23(f333(f333(f248(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99951),x99954)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99953),x99952)),f196(f882(f881(a875,a875),a870))))))) % 183.16/183.18 [9996]P23(f333(f333(f247(a875),f333(f333(f79(a875),x99961),x99962)),f333(f333(f79(a875),x99963),x99964)))+~P23(f333(f333(f247(a1),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99961),x99964)),f196(f882(f881(a875,a875),a870)))))),f333(a88,f333(f287(f881(a875,a875),f881(a875,a875),a111),f333(f333(f311(f881(a875,a875)),f333(f333(f268(a875,a875),x99963),x99962)),f196(f882(f881(a875,a875),a870))))))) % 183.16/183.18 [10038]P23(f333(f333(f247(f882(x100381,a870)),f333(f333(f41(a875,f882(x100381,a870)),f256(f882(a875,a870))),x100382)),f333(f333(f41(a875,f882(x100381,a870)),f256(f882(a875,a870))),x100383)))+~P23(f333(f333(f247(f882(x100381,a870)),f333(f333(f41(a875,f882(x100381,a870)),f333(f303(a875,f2(a875)),f395(x100383,x100384,x100382,x100381))),x100382)),f333(f333(f41(a875,f882(x100381,a870)),f333(f303(a875,f2(a875)),f333(f333(f79(a875),f395(x100383,x100384,x100382,x100381)),x100384))),x100383))) % 183.16/183.18 [10135]~P23(f333(f333(f335(x101352),x101354),f333(f264(x101351,x101352),x101353)))+P23(f333(f263(x101351,x101352,f333(f333(f7(x101351,f882(f881(x101351,x101352),a870),f882(x101352,a870)),f333(f333(f8(f882(x101352,f882(f882(f881(x101351,x101352),a870),a870)),f882(f882(f881(x101351,x101352),a870),f882(x101352,a870)),x101351),f7(x101352,f882(f881(x101351,x101352),a870),a870)),f333(f333(f8(f882(x101352,f881(x101351,x101352)),f882(x101352,f882(f882(f881(x101351,x101352),a870),a870)),x101351),f333(f8(f881(x101351,x101352),f882(f882(f881(x101351,x101352),a870),a870),x101352),f335(f881(x101351,x101352)))),f268(x101351,x101352)))),x101353)),x101354)) % 183.16/183.18 [10136]~P23(f333(f333(f335(x101361),x101364),f333(f266(x101361,x101362),x101363)))+P23(f333(f262(x101361,x101362,f333(f333(f7(x101361,f882(f881(x101361,x101362),a870),f882(x101362,a870)),f333(f333(f8(f882(x101362,f882(f882(f881(x101361,x101362),a870),a870)),f882(f882(f881(x101361,x101362),a870),f882(x101362,a870)),x101361),f7(x101362,f882(f881(x101361,x101362),a870),a870)),f333(f333(f8(f882(x101362,f881(x101361,x101362)),f882(x101362,f882(f882(f881(x101361,x101362),a870),a870)),x101361),f333(f8(f881(x101361,x101362),f882(f882(f881(x101361,x101362),a870),a870),x101362),f335(f881(x101361,x101362)))),f268(x101361,x101362)))),x101363)),x101364)) % 183.16/183.18 [10147]P23(f333(f333(f335(x101471),x101472),f333(f264(x101473,x101471),x101474)))+~P23(f333(f263(x101473,x101471,f333(f333(f7(x101473,f882(f881(x101473,x101471),a870),f882(x101471,a870)),f333(f333(f8(f882(x101471,f882(f882(f881(x101473,x101471),a870),a870)),f882(f882(f881(x101473,x101471),a870),f882(x101471,a870)),x101473),f7(x101471,f882(f881(x101473,x101471),a870),a870)),f333(f333(f8(f882(x101471,f881(x101473,x101471)),f882(x101471,f882(f882(f881(x101473,x101471),a870),a870)),x101473),f333(f8(f881(x101473,x101471),f882(f882(f881(x101473,x101471),a870),a870),x101471),f335(f881(x101473,x101471)))),f268(x101473,x101471)))),x101474)),x101472)) % 183.16/183.18 [10148]P23(f333(f333(f335(x101481),x101482),f333(f266(x101481,x101483),x101484)))+~P23(f333(f262(x101481,x101483,f333(f333(f7(x101481,f882(f881(x101481,x101483),a870),f882(x101483,a870)),f333(f333(f8(f882(x101483,f882(f882(f881(x101481,x101483),a870),a870)),f882(f882(f881(x101481,x101483),a870),f882(x101483,a870)),x101481),f7(x101483,f882(f881(x101481,x101483),a870),a870)),f333(f333(f8(f882(x101483,f881(x101481,x101483)),f882(x101483,f882(f882(f881(x101481,x101483),a870),a870)),x101481),f333(f8(f881(x101481,x101483),f882(f882(f881(x101481,x101483),a870),a870),x101483),f335(f881(x101481,x101483)))),f268(x101481,x101483)))),x101484)),x101482)) % 183.16/183.18 [9833]P23(f333(f161(x98331,x98332),x98333))+~P23(f333(f161(x98331,f333(f333(f18(x98331,a870,a870),f333(f333(f8(a870,f882(a870,a870),x98331),a331),x98334)),x98332)),x98333)) % 183.16/183.18 [9834]P23(f333(f161(x98341,x98342),x98343))+~P23(f333(f161(x98341,f333(f333(f18(x98341,a870,a870),f333(f333(f8(a870,f882(a870,a870),x98341),a331),x98342)),x98344)),x98343)) % 183.16/183.18 [9919]~P109(x99191)+E(f333(f333(f80(x99191),f333(f333(f79(x99191),f77(x99191)),f77(x99191))),f333(f333(f6(a875,x99191),f333(f333(f8(x99191,x99191,a875),f333(f79(x99191),x99192)),f333(f333(f7(a875,x99191,x99191),f333(f333(f8(x99191,f882(x99191,x99191),a875),f80(x99191)),f103(x99191))),x99193))),f333(f254(a875),x99194))),f333(f333(f80(x99191),f333(f103(x99191),x99194)),f333(f333(f79(x99191),x99192),f333(f333(f79(x99191),x99192),f333(f333(f80(x99191),f333(f103(x99191),f333(f333(f22(a875),x99194),f77(a875)))),x99193))))) % 183.16/183.18 [10060]P23(f333(x100601,f569(x100602,x100603,x100604,x100601)))+P37(x100602,f333(f253(f881(x100602,x100602)),f333(f272(x100602,x100602,a870),f333(f333(f8(f882(x100602,a870),f882(x100602,a870),x100602),f333(f18(x100602,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100602),a331),x100601))),f333(f333(f7(x100602,f882(x100602,x100602),f882(x100602,a870)),f333(f333(f8(f882(x100602,a870),f882(f882(x100602,x100602),f882(x100602,a870)),x100602),f8(x100602,a870,x100602)),a330)),x100603))))) % 183.16/183.18 [10074]~P23(f333(f333(f248(a875),f333(x100744,f333(x100743,f569(x100741,x100743,x100744,x100742)))),f333(x100744,f569(x100741,x100743,x100744,x100742))))+P37(x100741,f333(f253(f881(x100741,x100741)),f333(f272(x100741,x100741,a870),f333(f333(f8(f882(x100741,a870),f882(x100741,a870),x100741),f333(f18(x100741,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100741),a331),x100742))),f333(f333(f7(x100741,f882(x100741,x100741),f882(x100741,a870)),f333(f333(f8(f882(x100741,a870),f882(f882(x100741,x100741),f882(x100741,a870)),x100741),f8(x100741,a870,x100741)),a330)),x100743))))) % 183.16/183.18 [10174]~P23(f333(f333(f335(f881(x101741,x101741)),f333(f333(f268(x101741,x101741),x101743),x101744)),f333(f333(f113(f882(f881(x101741,x101741),a870)),x101742),f309(x101741,f196(f882(f881(x101741,x101741),a870))))))+P23(f333(f333(f333(f333(f113(f882(x101741,f882(x101741,a870))),f333(f333(f7(x101741,f882(f881(x101741,x101741),a870),f882(x101741,a870)),f333(f333(f8(f882(x101741,f882(f882(f881(x101741,x101741),a870),a870)),f882(f882(f881(x101741,x101741),a870),f882(x101741,a870)),x101741),f7(x101741,f882(f881(x101741,x101741),a870),a870)),f333(f333(f8(f882(x101741,f881(x101741,x101741)),f882(x101741,f882(f882(f881(x101741,x101741),a870),a870)),x101741),f333(f8(f881(x101741,x101741),f882(f882(f881(x101741,x101741),a870),a870),x101741),f335(f881(x101741,x101741)))),f268(x101741,x101741)))),x101742)),a330),x101743),x101744)) % 183.16/183.18 [10184]P23(f333(f333(f335(f881(x101841,x101841)),f333(f333(f268(x101841,x101841),x101842),x101843)),f333(f333(f113(f882(f881(x101841,x101841),a870)),x101844),f309(x101841,f196(f882(f881(x101841,x101841),a870))))))+~P23(f333(f333(f333(f333(f113(f882(x101841,f882(x101841,a870))),f333(f333(f7(x101841,f882(f881(x101841,x101841),a870),f882(x101841,a870)),f333(f333(f8(f882(x101841,f882(f882(f881(x101841,x101841),a870),a870)),f882(f882(f881(x101841,x101841),a870),f882(x101841,a870)),x101841),f7(x101841,f882(f881(x101841,x101841),a870),a870)),f333(f333(f8(f882(x101841,f881(x101841,x101841)),f882(x101841,f882(f882(f881(x101841,x101841),a870),a870)),x101841),f333(f8(f881(x101841,x101841),f882(f882(f881(x101841,x101841),a870),a870),x101841),f335(f881(x101841,x101841)))),f268(x101841,x101841)))),x101844)),a330),x101842),x101843)) % 183.16/183.18 [10046]~P107(x100463)+E(f89(x100461,f333(f333(f18(x100461,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100461),a331),x100462)),f333(f333(f8(f882(x100461,a870),a870,x100461),f87(x100461)),f333(f333(f8(f882(x100461,a870),f882(x100461,a870),x100461),f333(f18(x100461,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100461),a336),x100462))),f333(f333(f8(x100463,f882(x100461,a870),x100461),f333(f7(x100461,x100463,a870),f333(f333(f8(x100463,f882(x100463,a870),x100461),f247(x100463)),x100464))),x100464))))),f333(f92(x100461,x100463,x100464),x100462)) % 183.16/183.18 [10089]~P107(x100893)+E(f89(x100891,f333(f333(f18(x100891,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100891),a331),x100892)),f333(f333(f8(f882(x100891,a870),a870,x100891),f87(x100891)),f333(f333(f8(f882(x100891,a870),f882(x100891,a870),x100891),f333(f18(x100891,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100891),a336),x100892))),f333(f333(f7(x100891,f882(x100891,x100893),f882(x100891,a870)),f333(f333(f8(f882(x100893,a870),f882(f882(x100891,x100893),f882(x100891,a870)),x100891),f8(x100893,a870,x100891)),f333(f333(f8(x100893,f882(x100893,a870),x100891),f247(x100893)),x100894))),x100894))))),f95(x100891,x100893,x100894,x100892)) % 183.16/183.18 [10133]E(f333(f333(f152(f876(x101331)),f333(f333(f152(x101331),x101332),f333(f143(f876(x101331),f876(x101331),f135(x101331),f116(x101331)),f333(f333(f155(f876(x101331),f876(x101331)),f157(f876(x101331),x101331,f116(x101331),f333(f333(f8(f876(x101331),f882(f876(x101331),f876(x101331)),x101331),f16(f876(x101331),f876(x101331))),f333(f333(f7(x101331,f876(x101331),f876(x101331)),f152(x101331)),f116(x101331))))),x101333)))),f182(x101331,f333(f333(f152(f876(x101331)),x101334),f333(f143(f876(f876(x101331)),f876(f876(x101331)),f135(f876(x101331)),f116(f876(x101331))),f333(f333(f155(f876(x101331),f876(f876(x101331))),f157(f876(f876(x101331)),x101331,f116(f876(x101331)),f333(f16(f882(f876(x101331),f876(f876(x101331))),x101331),f333(f333(f7(f876(x101331),f876(f876(x101331)),f876(f876(x101331))),f152(f876(x101331))),f116(f876(x101331)))))),x101333))))),f182(x101331,f333(f333(f152(f876(x101331)),f333(f333(f152(x101331),x101332),x101334)),x101333)))+~P23(f333(f321(f876(f876(x101331)),f183(x101331)),f333(f333(f152(f876(x101331)),f333(f333(f152(x101331),x101332),x101334)),x101333))) % 183.16/183.18 [10173]~P23(f333(f61(x101732),f333(f253(x101732),x101734)))+P23(f333(f61(x101731),f333(f253(x101731),f333(f333(f8(f882(x101732,a870),a870,x101731),f86(x101732)),f333(f333(f7(x101731,f882(x101732,a870),f882(x101732,a870)),f333(f333(f8(f882(x101732,f882(a870,a870)),f882(f882(x101732,a870),f882(x101732,a870)),x101731),f18(x101732,a870,a870)),f333(f333(f8(f882(x101732,a870),f882(x101732,f882(a870,a870)),x101731),f333(f8(a870,f882(a870,a870),x101732),a331)),f333(f333(f7(x101731,f882(x101732,x101731),f882(x101732,a870)),f333(f333(f8(f882(x101731,a870),f882(f882(x101732,x101731),f882(x101732,a870)),x101731),f8(x101731,a870,x101732)),a330)),x101733)))),x101734))))) % 183.16/183.18 [5261]E(x52611,x52612)+~E(f128(x52613,x52614,x52611),f128(x52613,x52615,x52612)) % 183.16/183.18 [5262]E(x52621,x52622)+~E(f128(x52623,x52621,x52624),f128(x52623,x52622,x52625)) % 183.16/183.18 [5263]E(x52631,x52632)+~E(f171(x52633,x52631,x52634),f171(x52633,x52632,x52635)) % 183.16/183.18 [5641]E(f333(f333(f311(x56411),x56412),f186(x56411,x56413,x56414)),f186(x56411,x56413,x56414))+~E(f333(x56414,x56412),f333(f240(x56413),x56415)) % 183.16/183.18 [6047]P23(f333(f263(x60471,x60472,x60473),x60474))+~P23(f333(f333(x60473,x60475),x60474)) % 183.16/183.18 [6049]P23(f333(f262(x60491,x60492,x60493),x60494))+~P23(f333(f333(x60493,x60494),x60495)) % 183.16/183.18 [6052]~E(f333(x60524,x60522),f333(f240(x60523),x60525))+P23(f333(f333(f335(x60521),x60522),f186(x60521,x60523,x60524))) % 183.16/183.18 [6053]~E(f333(x60534,x60535),f333(f240(x60531),x60532))+P23(f333(f333(f335(x60531),x60532),f188(x60533,x60531,x60534))) % 183.16/183.18 [6512]~E(x65125,f2(a102))+E(f333(f208(x65121,x65122,x65123,x65124),x65125),f118(x65122)) % 183.16/183.18 [6513]~E(x65135,f2(a102))+E(f333(f206(x65131,x65132,x65133,x65134),x65135),f129(x65132)) % 183.16/183.18 [6649]~E(x66493,f2(a102))+E(f333(f282(x66491,x66492,x66493,x66494),x66495),f333(f268(x66491,x66492),x66495)) % 183.16/183.18 [6721]~E(f333(x67214,x67215),f209(x67212))+E(f333(f242(f879(x67211),x67212,f209(x67211),x67213),f333(x67214,x67215)),f209(x67211)) % 183.16/183.18 [7346]E(f333(x73461,x73462),f209(x73463))+~E(f333(f187(x73464,x73463,x73465,x73461),x73462),f209(x73463)) % 183.16/183.18 [7347]E(f333(x73471,x73472),f209(x73473))+~E(f333(f187(x73474,x73473,x73471,x73475),x73472),f209(x73473)) % 183.16/183.18 [7383]E(f333(f187(x73831,x73832,x73833,x73834),x73835),f333(x73833,x73835))+P23(f333(f333(f335(x73831),x73835),f186(x73831,x73832,x73834))) % 183.16/183.18 [7384]E(f333(f187(x73841,x73842,x73843,x73844),x73845),f333(x73844,x73845))+P23(f333(f333(f335(x73841),x73845),f186(x73841,x73842,x73843))) % 183.16/183.18 [7708]~P15(x77084,x77081,x77082,x77085)+E(f333(f72(x77081,x77081,x77081,f333(x77082,x77083)),f333(x77082,x77083)),f333(x77082,x77083)) % 183.16/183.18 [7754]E(f333(f187(x77541,x77542,x77543,x77544),x77545),f333(x77544,x77545))+~P23(f333(f333(f335(x77541),x77545),f186(x77541,x77542,x77544))) % 183.16/183.18 [8106]~P11(x81065,x81061,x81062)+E(f333(f72(x81061,x81061,x81061,f333(x81062,x81063)),f333(x81062,x81064)),f333(f72(x81061,x81061,x81061,f333(x81062,x81064)),f333(x81062,x81063))) % 183.16/183.18 [8438]P23(f333(f333(f335(f881(x84381,x84381)),f333(f333(f268(x84381,x84381),x84382),x84383)),f327(x84381,x84384,x84385)))+~P23(f333(f333(f248(a875),f333(x84384,x84382)),f333(x84384,x84383))) % 183.16/183.18 [8535]~P23(f333(f333(f335(x85354),x85353),f300(x85354,x85351,x85352,x85355)))+P23(f333(f333(x85351,x85352),x85353)) % 183.16/183.18 [8536]~P23(f333(f333(f335(x85364),x85363),f297(x85364,x85361,x85362,x85365)))+P23(f333(f333(x85361,x85362),x85363)) % 183.16/183.18 [8537]~P23(f333(f333(f335(x85374),x85372),f300(x85374,x85371,x85375,x85373)))+P23(f333(f333(x85371,x85372),x85373)) % 183.16/183.18 [8538]~P23(f333(f333(f335(x85384),x85382),f297(x85384,x85381,x85385,x85383)))+P23(f333(f333(x85381,x85382),x85383)) % 183.16/183.18 [8675]~P51(x86752,x86751,x86755,x86753,x86754)+E(f333(f312(x86751,x86752,x86753),x86754),f256(f882(x86752,a870))) % 183.16/183.18 [9115]~P34(x91151,x91152,x91153,x91154,x91155)+P34(x91151,x91152,x91153,f333(f170(x91151),x91154),f333(f170(x91152),x91155)) % 183.16/183.18 [9117]~P34(x91171,x91172,x91173,f333(f170(x91171),x91174),x91175)+P34(x91171,x91172,x91173,x91174,f333(f170(x91172),x91175)) % 183.16/183.18 [9118]~P34(x91181,x91182,x91183,x91184,f333(f170(x91182),x91185))+P34(x91181,x91182,x91183,f333(f170(x91181),x91184),x91185) % 183.16/183.18 [9124]P34(x91241,x91242,x91243,x91244,x91245)+~P34(x91241,x91242,x91243,f333(f170(x91241),x91244),f333(f170(x91242),x91245)) % 183.16/183.18 [9519]P23(f333(f333(f335(f881(f876(x95191),f876(x95191))),f333(f333(f268(f876(x95191),f876(x95191)),f333(f333(f152(x95191),x95192),x95193)),f333(f333(f152(x95191),x95192),x95194))),f158(x95191,x95195)))+~P23(f333(f333(f335(f881(f876(x95191),f876(x95191))),f333(f333(f268(f876(x95191),f876(x95191)),x95193),x95194)),f158(x95191,x95195))) % 183.16/183.18 [9520]P23(f333(f333(f335(f881(f876(x95201),f876(x95201))),f333(f333(f268(f876(x95201),f876(x95201)),f333(f333(f135(x95201),x95202),x95203)),f333(f333(f135(x95201),x95202),x95204))),f148(x95201,x95205)))+~P23(f333(f333(f335(f881(f876(x95201),f876(x95201))),f333(f333(f268(f876(x95201),f876(x95201)),x95203),x95204)),f148(x95201,x95205))) % 183.16/183.18 [9709]E(f333(f333(f152(x97091),f670(x97092,x97093,x97094,x97095,x97091)),f672(x97092,x97093,x97094,x97095,x97091)),x97095)+~P23(f333(f333(f335(f881(f876(x97091),f876(x97091))),f333(f333(f268(f876(x97091),f876(x97091)),x97095),f333(f333(f152(x97091),x97094),x97093))),f159(x97091,x97092))) % 183.16/183.18 [9731]E(f333(f333(f152(x97311),f674(x97312,x97313,x97314,x97315,x97311)),f675(x97312,x97313,x97314,x97315,x97311)),x97313)+~P23(f333(f333(f335(f881(f876(x97311),f876(x97311))),f333(f333(f268(f876(x97311),f876(x97311)),f333(f333(f152(x97311),x97315),x97314)),x97313)),f159(x97311,x97312))) % 183.16/183.18 [9893]~P23(f333(f333(f335(f881(f876(x98931),f876(x98931))),f333(f333(f268(f876(x98931),f876(x98931)),f333(f333(f152(x98931),x98935),x98932)),x98934)),f159(x98931,x98933)))+P23(f333(f333(f335(f881(f876(x98931),f876(x98931))),f333(f333(f268(f876(x98931),f876(x98931)),x98932),f675(x98933,x98934,x98932,x98935,x98931))),f159(x98931,x98933))) % 183.16/183.18 [9963]~P23(f333(f333(f335(f881(f876(x99631),f876(x99631))),f333(f333(f268(f876(x99631),f876(x99631)),x99635),f333(f333(f152(x99631),x99634),x99633))),f159(x99631,x99632)))+P23(f333(f333(f335(f881(f876(x99631),f876(x99631))),f333(f333(f268(f876(x99631),f876(x99631)),f672(x99632,x99633,x99634,x99635,x99631)),x99633)),f159(x99631,x99632))) % 183.16/183.18 [10128]P23(f333(f333(f335(f881(x101281,x101281)),f333(f333(f268(x101281,x101281),f333(x101282,f333(f333(f79(a875),x101283),x101284))),f333(x101282,x101283))),f309(x101281,x101285)))+~P23(f333(f333(f335(f881(x101281,x101281)),f333(f333(f268(x101281,x101281),f333(x101282,f333(a115,f626(x101284,x101283,x101285,x101282,x101281)))),f333(x101282,f626(x101284,x101283,x101285,x101282,x101281)))),f309(x101281,x101285))) % 183.16/183.18 [5227]E(x52271,x52272)+~E(f333(f333(f152(x52273),x52274),x52271),f333(f333(f152(x52273),x52275),x52272)) % 183.16/183.18 [5228]E(x52281,x52282)+~E(f333(f333(f152(x52283),x52281),x52284),f333(f333(f152(x52283),x52282),x52285)) % 183.16/183.18 [5279]P23(f333(x52791,x52792))+~E(f333(f137(x52793,x52791),x52794),f333(f333(f152(x52793),x52792),x52795)) % 183.16/183.18 [5280]P23(f333(x52801,x52802))+~E(f333(f333(f152(x52803),x52802),x52804),f333(f137(x52803,x52801),x52805)) % 183.16/183.18 [5437]~E(f333(f333(f139(x54371),x54373),x54372),f333(f333(f152(x54371),x54374),x54375))+E(f333(f333(f166(x54371),x54372),x54373),x54374) % 183.16/183.18 [5571]~P10(x55714,x55715,x55711)+E(f333(f333(x55711,x55712),f333(f333(x55711,x55712),x55713)),f333(f333(x55711,x55712),x55713)) % 183.16/183.18 [6105]~E(x61054,f2(a102))+E(f333(f333(f120(x61051,x61052,x61053),x61054),x61055),f333(f333(f268(f876(x61052),x61051),f116(x61052)),x61055)) % 183.16/183.18 [6172]~P106(x61722)+~E(f333(f333(f149(x61721,x61722,x61723),x61724),x61725),f116(x61721)) % 183.16/183.18 [6549]E(x65491,x65492)+~E(f333(f333(f135(x65493),x65494),f333(f333(f152(x65493),x65491),f116(x65493))),f333(f333(f135(x65493),x65495),f333(f333(f152(x65493),x65492),f116(x65493)))) % 183.16/183.18 [6550]E(x65501,x65502)+~E(f333(f333(f135(x65503),x65501),f333(f333(f152(x65503),x65504),f116(x65503))),f333(f333(f135(x65503),x65502),f333(f333(f152(x65503),x65505),f116(x65503)))) % 183.16/183.18 [6805]E(f333(f190(x68051,x68052,x68053,x68054),x68055),f209(x68052))+P23(f333(f333(f335(x68051),x68055),x68054)) % 183.16/183.18 [6867]E(f333(f333(f311(x68671),f333(x68672,x68673)),f333(f312(x68674,x68671,x68672),x68675)),f333(f312(x68674,x68671,x68672),x68675))+~P23(f333(f333(f335(x68674),x68673),x68675)) % 183.16/183.18 [6874]~P23(f333(x68744,f333(x68743,x68745)))+P23(f333(f333(f313(x68741,x68742,x68743),x68744),x68745)) % 183.16/183.18 [6877]~P23(f333(f333(x68773,x68775),x68774))+P23(f333(f333(f257(x68771,x68772,x68773),x68774),x68775)) % 183.16/183.18 [6972]~E(f333(f312(x69721,x69722,x69723),x69724),x69725)+E(f333(f312(f882(x69721,a870),f882(x69722,a870),f312(x69721,x69722,x69723)),f333(f310(x69721),x69724)),f333(f310(x69722),x69725)) % 183.16/183.18 [7004]E(f333(f190(x70041,x70042,x70043,x70044),x70045),f333(x70043,x70045))+~P23(f333(f333(f335(x70041),x70045),x70044)) % 183.16/183.18 [7303]P20(x73031,x73032,x73033,x73034)+~P20(x73031,x73032,x73033,f333(f333(f311(x73031),x73035),x73034)) % 183.16/183.18 [7373]P23(f333(x73731,x73732))+~P23(f333(f333(f94(x73733,x73734,x73731),x73735),x73732)) % 183.16/183.18 [7417]~P23(f333(f333(f335(x74174),x74173),x74175))+P23(f333(f333(f335(x74171),f333(x74172,x74173)),f333(f312(x74174,x74171,x74172),x74175))) % 183.16/183.18 [7441]~P106(x74412)+E(f151(x74411,x74412,x74413,f333(f137(x74411,x74414),x74415)),f333(f137(x74411,x74414),f151(x74411,x74412,x74413,x74415))) % 183.16/183.18 [7474]P23(f333(x74741,f333(x74742,x74743)))+~P23(f333(f333(f313(x74744,x74745,x74742),x74741),x74743)) % 183.16/183.18 [7477]P23(f333(f333(x74771,x74772),x74773))+~P23(f333(f333(f257(x74774,x74775,x74771),x74773),x74772)) % 183.16/183.18 [7478]P23(f333(f333(x74781,x74782),x74783))+~P23(f333(f333(f94(x74784,x74781,x74785),x74782),x74783)) % 183.16/183.18 [7542]~P23(f333(f333(f335(x75423),f333(x75424,x75422)),x75425))+P23(f333(f333(f335(x75421),x75422),f333(f313(x75421,x75423,x75424),x75425))) % 183.16/183.18 [7943]~P23(f333(f333(f335(x79435),x79433),f333(f313(x79435,x79431,x79432),x79434)))+P23(f333(f333(f335(x79431),f333(x79432,x79433)),x79434)) % 183.16/183.18 [8173]~E(x81733,f333(f333(f333(f71(x81731,f879(x81732)),f333(f16(f879(x81732),x81731),f209(x81732))),x81734),f333(f240(x81732),x81735)))+E(f186(x81731,x81732,x81733),f333(f333(f311(x81731),x81734),f196(f882(x81731,a870)))) % 183.16/183.18 [8253]~P11(x82532,x82531,x82533)+E(f333(f143(x82531,x82532,f333(f7(x82532,x82531,x82531),x82533),x82534),f153(x82532,x82535)),f333(f333(f64(x82532,x82531,x82533),x82534),f333(f174(x82532),x82535))) % 183.16/183.18 [8272]E(f333(x82721,f476(x82722,x82721,x82723,x82724)),x82724)+~P23(f333(f333(f335(x82725),x82724),f333(f312(x82723,x82725,x82721),x82722))) % 183.16/183.18 [8580]~E(x85802,f333(f333(f152(x85801),x85804),x85805))+P23(f333(f333(f335(f881(f876(x85801),f876(x85801))),f333(f333(f268(f876(x85801),f876(x85801)),f116(x85801)),x85802)),f148(x85801,x85803))) % 183.16/183.18 [8633]~P34(x86331,x86333,x86335,x86332,x86334)+E(f333(f197(f876(x86331)),x86332),f333(f197(f876(x86333)),x86334)) % 183.16/183.18 [8643]P23(f333(f333(f247(f882(x86431,a870)),f333(f333(f42(x86432,f882(x86431,a870)),x86433),x86434)),f333(x86434,x86435)))+~P23(f333(f333(f335(x86432),x86435),x86433)) % 183.16/183.18 [8691]~P51(x86911,x86912,x86913,x86915,x86914)+E(f333(f312(x86911,x86912,x86913),f256(f882(x86911,a870))),x86914) % 183.16/183.18 [8897]E(f333(f333(f333(f71(x88971,f879(x88972)),f190(x88971,x88972,x88973,x88974)),x88975),f209(x88972)),f190(x88971,x88972,x88973,x88974))+P23(f333(f333(f335(x88971),x88975),x88974)) % 183.16/183.18 [8902]E(f333(f137(x89021,x89022),f781(x89023,x89024,x89025,x89022,x89021)),x89023)+~E(f333(f137(x89021,x89022),x89025),f333(f333(f152(x89021),x89024),x89023)) % 183.16/183.18 [8903]E(f333(f137(x89031,x89032),f782(x89033,x89032,x89034,x89035,x89031)),x89034)+~E(f333(f333(f152(x89031),x89035),x89034),f333(f137(x89031,x89032),x89033)) % 183.16/183.18 [8904]E(f333(x89041,f710(x89042,x89043,x89041,x89044,x89045)),x89042)+~E(f333(f333(f210(x89045,x89044),x89041),x89043),f333(f240(x89044),x89042)) % 183.16/183.18 [8908]E(f333(f240(x89081),f710(x89082,x89083,x89084,x89085,x89081)),x89083)+~E(f333(f333(f210(x89081,x89085),x89084),x89083),f333(f240(x89085),x89082)) % 183.16/183.18 [9007]E(f333(f197(f876(x90071)),x90072),x90073)+~P23(f333(f333(f335(f881(f876(x90071),f876(x90071))),f333(f333(f268(f876(x90071),f876(x90071)),x90074),x90072)),f333(f144(x90071,x90075),x90073))) % 183.16/183.18 [9008]E(f333(f197(f876(x90081)),x90082),x90083)+~P23(f333(f333(f335(f881(f876(x90081),f876(x90081))),f333(f333(f268(f876(x90081),f876(x90081)),x90082),x90084)),f333(f144(x90081,x90085),x90083))) % 183.16/183.18 [9075]P23(f333(f333(f335(x90751),f476(x90752,x90753,x90751,x90754)),x90752))+~P23(f333(f333(f335(x90755),x90754),f333(f312(x90751,x90755,x90753),x90752))) % 183.16/183.18 [9236]E(f333(f312(x92361,x92362,x92363),f350(x92364,x92363,x92361,x92365,x92362)),x92365)+~P23(f333(f333(f247(f882(x92362,a870)),x92365),f333(f312(x92361,x92362,x92363),x92364))) % 183.16/183.18 [9489]E(f333(x94891,f770(x94892,x94891,x94893,x94894,x94895)),f333(f240(x94895),x94894))+~P23(f333(f333(f335(x94895),x94894),f188(x94893,x94895,f190(x94893,x94895,x94891,x94892)))) % 183.16/183.18 [9535]P23(f333(f333(f335(f881(f876(x95351),f876(x95351))),f333(f333(f268(f876(x95351),f876(x95351)),f333(f333(f152(x95351),x95352),x95353)),f333(f333(f152(x95351),x95352),x95354))),f309(f876(x95351),f158(x95351,x95355))))+~P23(f333(f333(f335(f881(f876(x95351),f876(x95351))),f333(f333(f268(f876(x95351),f876(x95351)),x95353),x95354)),f309(f876(x95351),f158(x95351,x95355)))) % 183.16/183.18 [9566]~E(f333(x95663,f712(x95665,x95664,x95663,x95662,x95661)),f333(x95665,f712(x95665,x95664,x95663,x95662,x95661)))+E(f333(f333(f155(x95661,x95662),x95663),x95664),f333(f333(f155(x95661,x95662),x95665),x95664)) % 183.16/183.18 [9642]~E(f333(f137(x96421,x96425),x96424),f333(f333(f152(x96421),x96423),x96422))+E(f333(f333(f135(x96421),f787(x96422,x96423,x96424,x96425,x96421)),f333(f333(f152(x96421),x96423),f781(x96422,x96423,x96424,x96425,x96421))),x96424) % 183.16/183.18 [9643]~E(f333(f333(f152(x96431),x96435),x96434),f333(f137(x96431,x96433),x96432))+E(f333(f333(f135(x96431),f784(x96432,x96433,x96434,x96435,x96431)),f333(f333(f152(x96431),x96435),f782(x96432,x96433,x96434,x96435,x96431))),x96432) % 183.16/183.18 [9647]E(f333(f333(f155(x96471,x96472),x96473),x96474),f333(f333(f155(x96471,x96472),x96475),x96474))+P23(f333(f333(f335(x96471),f712(x96473,x96474,x96475,x96472,x96471)),f333(f174(x96471),x96474))) % 183.16/183.18 [9677]~P23(f333(f333(f335(x96775),x96774),f333(f287(x96771,x96775,x96773),x96772)))+P23(f333(f333(f335(x96771),f532(x96772,x96773,x96771,x96774,x96775)),x96772)) % 183.16/183.18 [9678]~P23(f333(f333(f335(x96785),x96784),f333(f287(x96781,x96785,x96783),x96782)))+P23(f333(f333(f335(x96781),f554(x96782,x96783,x96781,x96784,x96785)),x96782)) % 183.16/183.18 [9703]~P23(f333(f333(f247(f882(x97035,a870)),x97034),f333(f312(x97031,x97035,x97033),x97032)))+P23(f333(f333(f247(f882(x97031,a870)),f350(x97032,x97033,x97031,x97034,x97035)),x97032)) % 183.16/183.18 [9754]~P23(f333(f333(f335(x97545),x97544),f188(x97541,x97545,f190(x97541,x97545,x97543,x97542))))+P23(f333(f333(f335(x97541),f770(x97542,x97543,x97541,x97544,x97545)),x97542)) % 183.16/183.18 [10150]E(x101501,f2(a102))+E(f333(f242(f881(f876(x101502),x101503),f881(x101502,x101503),f333(f333(f268(f876(x101502),x101503),f116(x101502)),x101504),f333(f272(x101502,x101503,f881(f876(x101502),x101503)),f333(f333(f7(x101502,f882(x101503,f881(f876(x101502),x101503)),f882(x101503,f881(f876(x101502),x101503))),f333(f333(f8(f882(f881(f876(x101502),x101503),f881(f876(x101502),x101503)),f882(f882(x101503,f881(f876(x101502),x101503)),f882(x101503,f881(f876(x101502),x101503))),x101502),f8(f881(f876(x101502),x101503),f881(f876(x101502),x101503),x101503)),f333(f333(f8(f882(f876(x101502),f882(x101503,f881(f876(x101502),x101503))),f882(f881(f876(x101502),x101503),f881(f876(x101502),x101503)),x101502),f272(f876(x101502),x101503,f881(f876(x101502),x101503))),f333(f333(f8(f882(f876(x101502),f876(x101502)),f882(f876(x101502),f882(x101503,f881(f876(x101502),x101503))),x101502),f333(f8(f876(x101502),f882(x101503,f881(f876(x101502),x101503)),f876(x101502)),f268(f876(x101502),x101503))),f152(x101502))))),f333(f120(x101503,x101502,x101505),f333(f333(f22(a102),x101501),f77(a102)))))),f333(x101505,x101504)),f333(f333(f120(x101503,x101502,x101505),x101501),x101504)) % 183.16/183.18 [5450]~E(f333(x54503,x54504),x54505)+E(f333(f333(f333(f71(x54501,x54502),x54503),x54504),x54505),x54503) % 183.16/183.18 [5892]E(f333(x58921,x58922),x58923)+~E(f333(f333(f333(f71(x58924,x58925),x58921),x58922),x58923),x58921) % 183.16/183.18 [5986]E(x59861,x59862)+~E(f333(f271(x59863,x59864),f333(f333(f268(x59863,x59864),x59865),x59861)),x59862) % 183.16/183.18 [5987]E(x59871,x59872)+~E(f333(f267(x59873,x59874),f333(f333(f268(x59873,x59874),x59871),x59875)),x59872) % 183.16/183.18 [6247]~E(x62473,f333(f333(f135(x62471),x62474),f333(f333(f152(x62471),x62472),x62475)))+P23(f333(f333(f335(x62471),x62472),f333(f174(x62471),x62473))) % 183.16/183.18 [6636]E(f333(f312(x66361,x66362,f333(f16(x66362,x66361),x66363)),x66364),f333(f333(f311(x66362),x66363),f196(f882(x66362,a870))))+~P23(f333(f333(f335(x66361),x66365),x66364)) % 183.16/183.18 [6706]E(f333(f333(f113(f882(x67061,a870)),f333(f174(x67061),x67062)),f333(f174(x67061),x67063)),f333(f174(x67061),x67064))+~E(f168(x67061,x67065,x67064),f333(f333(f268(f876(x67061),f876(x67061)),x67062),x67063)) % 183.16/183.18 [6809]~P106(x68092)+E(f333(f197(f876(x68091)),f333(f333(f149(x68091,x68092,x68093),x68094),x68095)),f333(a115,f333(f197(f876(x68091)),x68095))) % 183.16/183.18 [6821]~P106(x68212)+E(f333(f174(x68211),f333(f333(f149(x68211,x68212,x68213),x68214),x68215)),f333(f333(f311(x68211),x68214),f333(f174(x68211),x68215))) % 183.16/183.18 [7095]~P109(x70951)+E(f333(f333(f79(x70951),f333(f333(f79(x70951),x70952),x70953)),f333(f333(f79(x70951),x70954),x70955)),f333(f333(f79(x70951),f333(f333(f79(x70951),x70952),x70954)),f333(f333(f79(x70951),x70953),x70955))) % 183.16/183.18 [7096]~P109(x70961)+E(f333(f333(f80(x70961),f333(f333(f80(x70961),x70962),x70963)),f333(f333(f80(x70961),x70964),x70965)),f333(f333(f80(x70961),f333(f333(f80(x70961),x70962),x70964)),f333(f333(f80(x70961),x70963),x70965))) % 183.16/183.18 [7097]~P58(x70971)+E(f333(f333(f291(x70971),f333(f333(f80(x70971),x70972),x70973)),f333(f333(f80(x70971),x70974),x70975)),f333(f333(f80(x70971),f333(f333(f291(x70971),x70972),x70974)),f333(f333(f291(x70971),x70973),x70975))) % 183.16/183.18 [7111]~P106(x71111)+E(f307(x71111,f333(f333(f246(x71111),x71112),x71113),f333(f333(f245(x71111),x71114),x71115)),f333(f333(f104(f882(x71111,a870)),f307(x71111,x71112,x71114)),f307(x71111,x71113,x71115))) % 183.16/183.18 [7112]~P106(x71121)+E(f306(x71121,f333(f333(f246(x71121),x71122),x71123),f333(f333(f245(x71121),x71124),x71125)),f333(f333(f104(f882(x71121,a870)),f306(x71121,x71122,x71124)),f306(x71121,x71123,x71125))) % 183.16/183.18 [7113]~P106(x71131)+E(f304(x71131,f333(f333(f246(x71131),x71132),x71133),f333(f333(f245(x71131),x71134),x71135)),f333(f333(f104(f882(x71131,a870)),f304(x71131,x71132,x71134)),f304(x71131,x71133,x71135))) % 183.16/183.18 [7114]~P106(x71141)+E(f333(f333(f104(f882(x71141,a870)),f333(f303(x71141,x71142),x71143)),f333(f303(x71141,x71144),x71145)),f333(f303(x71141,f333(f333(f246(x71141),x71142),x71144)),f333(f333(f245(x71141),x71143),x71145))) % 183.16/183.18 [7229]~P23(f333(x72291,f527(x72293,x72292,x72291)))+P23(f333(x72291,f333(f333(f268(x72292,x72293),x72294),x72295))) % 183.16/183.18 [7316]~E(f333(x73163,x73164),f209(x73162))+E(f188(x73161,x73162,f333(f333(f333(f71(x73161,f879(x73162)),x73163),x73164),f333(f240(x73162),x73165))),f333(f333(f311(x73162),x73165),f188(x73161,x73162,x73163))) % 183.16/183.18 [7337]~E(x73372,f333(x73374,x73375))+P23(f333(f333(f335(x73371),x73372),f333(f312(x73373,x73371,x73374),f256(f882(x73373,a870))))) % 183.16/183.18 [7395]~E(f333(x73953,x73954),f209(x73952))+E(f333(f333(f22(f882(x73951,a870)),f186(x73951,x73952,x73953)),f333(f333(f311(x73951),x73954),x73955)),f333(f333(f22(f882(x73951,a870)),f186(x73951,x73952,x73953)),x73955)) % 183.16/183.18 [7414]~P10(x74143,x74142,x74144)+P10(x74141,x74142,f333(f333(f8(x74143,f882(x74142,x74142),x74141),x74144),x74145)) % 183.16/183.18 [7415]~P11(x74153,x74152,x74154)+P11(x74151,x74152,f333(f333(f8(x74153,f882(x74152,x74152),x74151),x74154),x74155)) % 183.16/183.18 [7558]~P20(x75581,x75582,x75583,x75584)+P20(x75581,x75582,x75583,f333(f333(f22(f882(x75581,a870)),x75584),x75585)) % 183.16/183.18 [7717]~P23(f333(f333(x77173,x77174),x77175))+P23(f333(f333(f272(x77171,x77172,a870),x77173),f333(f333(f268(x77171,x77172),x77174),x77175))) % 183.16/183.18 [7832]~P23(f333(x78322,x78324))+~E(f333(f333(f139(x78321),f333(f197(f876(x78321)),f179(x78321,x78322,x78323))),x78323),f333(f333(f152(x78321),x78324),x78325)) % 183.16/183.18 [7852]P20(x78521,x78522,x78523,x78524)+~P20(x78521,x78522,x78523,f333(f333(f113(f882(x78521,a870)),x78525),x78524)) % 183.16/183.18 [7853]P20(x78531,x78532,x78533,x78534)+~P20(x78531,x78532,x78533,f333(f333(f113(f882(x78531,a870)),x78534),x78535)) % 183.16/183.18 [7900]~P106(x79002)+E(f333(f333(f149(x79001,x79002,x79003),x79004),f151(x79001,x79002,x79003,x79005)),f151(x79001,x79002,x79003,f333(f333(f152(x79001),x79004),x79005))) % 183.16/183.18 [8065]~P29(x80651,f333(a115,x80652),f333(f333(f333(f91(x80651),x80653),f333(a25,x80654)),x80655))+P29(x80651,x80652,f333(f333(f333(f91(x80651),x80653),f333(f244(a871),f333(a27,x80654))),x80655)) % 183.16/183.18 [8200]P29(x82001,f333(a115,x82002),f333(f333(f333(f91(x82001),x82003),f333(a25,x82004)),x82005))+~P29(x82001,x82002,f333(f333(f333(f91(x82001),x82003),f333(f244(a871),f333(a27,x82004))),x82005)) % 183.16/183.18 [8229]~P10(x82292,x82291,x82293)+E(f333(f143(x82291,x82292,f333(f7(x82292,x82291,x82291),x82293),x82294),x82295),f333(f333(f64(x82292,x82291,x82293),x82294),f333(f174(x82292),x82295))) % 183.16/183.18 [8258]~E(f333(f333(f139(x82581),f333(f197(f876(x82581)),f179(x82581,x82582,x82583))),x82583),f333(f333(f152(x82581),x82584),x82585))+E(f333(f333(f135(x82581),f179(x82581,x82582,x82583)),f333(f333(f152(x82581),x82584),x82585)),x82583) % 183.16/183.18 [8282]P23(f333(f333(x82821,x82822),x82823))+~P23(f333(f333(f272(x82824,x82825,a870),x82821),f333(f333(f268(x82824,x82825),x82822),x82823))) % 183.16/183.18 [8345]~E(f333(f333(f180(x83451,x83452),x83455),x83453),f333(f240(x83452),x83454))+P23(f333(f333(f335(f881(x83451,x83452)),f333(f333(f268(x83451,x83452),x83453),x83454)),f333(f174(f881(x83451,x83452)),x83455))) % 183.16/183.18 [8746]P23(f333(f333(f247(f882(x87461,a870)),f333(f312(x87462,x87461,x87463),x87464)),f333(f312(x87462,x87461,x87463),x87465)))+~P23(f333(f333(f247(f882(x87462,a870)),x87464),x87465)) % 183.16/183.18 [8747]P23(f333(f333(f247(f882(x87471,a870)),f333(f313(x87471,x87472,x87473),x87474)),f333(f313(x87471,x87472,x87473),x87475)))+~P23(f333(f333(f247(f882(x87472,a870)),x87474),x87475)) % 183.16/183.18 [8823]E(x88231,f2(a102))+E(f333(f333(f274(x88232,x88233,x88232,f881(x88233,x88232)),f333(x88234,x88235)),f282(x88233,x88232,f333(f333(f22(a102),x88231),f77(a102)),x88234)),f333(f282(x88233,x88232,x88231,x88234),x88235)) % 183.16/183.18 [9145]P29(x91451,x91452,f333(f333(f333(f91(x91451),x91453),x91454),x91455))+P23(f333(f333(x91453,f479(x91455,x91454,x91453,x91452)),f482(x91455,x91454,x91453,x91452))) % 183.16/183.18 [9345]E(f333(f240(x93451),f715(x93452,x93453,x93454,x93451,x93455)),f333(f333(f180(x93455,x93451),x93452),x93454))+~P23(f333(f333(f335(f881(x93455,x93451)),f333(f333(f268(x93455,x93451),x93454),x93453)),f333(f174(f881(x93455,x93451)),x93452))) % 183.16/183.18 [9390]P29(x93901,x93902,f333(f333(f333(f91(x93901),x93903),x93904),x93905))+~P23(f333(f333(x93905,f479(x93905,x93904,x93903,x93902)),f483(x93905,x93904,x93903,x93902))) % 183.16/183.18 [9449]P29(x94491,x94492,f333(f333(f333(f91(x94491),x94493),x94494),x94495))+P23(f333(f333(f333(f333(a204,x94494),f482(x94495,x94494,x94493,x94492)),x94492),f483(x94495,x94494,x94493,x94492))) % 183.16/183.18 [9452]~P19(x94521,x94522,f333(f333(f311(f874(x94521)),f333(f333(f333(f91(x94521),x94523),f333(f244(a871),f333(a27,x94524))),x94525)),f196(f882(f874(x94521),a870))))+P19(x94521,x94522,f333(f333(f311(f874(x94521)),f333(f333(f333(f91(x94521),x94523),f333(a25,x94524)),x94525)),f196(f882(f874(x94521),a870)))) % 183.16/183.18 [9480]~P23(f333(f61(x94803),f333(f312(x94802,x94803,x94805),f256(f882(x94802,a870)))))+P23(f333(f61(x94801),f333(f312(x94802,x94801,f333(f333(f8(x94803,x94801,x94802),x94804),x94805)),f256(f882(x94802,a870))))) % 183.16/183.18 [9502]P23(f333(f333(f247(f882(f882(x95021,a870),a870)),f333(f312(f882(x95022,a870),f882(x95021,a870),f312(x95022,x95021,x95023)),f333(f310(x95022),x95024))),f333(f310(x95021),x95025)))+~P23(f333(f333(f247(f882(x95021,a870)),f333(f312(x95022,x95021,x95023),x95024)),x95025)) % 183.16/183.18 [9515]~P23(f333(f61(f879(x95151)),f333(f312(x95152,f879(x95151),x95153),f256(f882(x95152,a870)))))+P23(f333(f61(f879(x95151)),f333(f312(x95152,f879(x95151),f333(f333(f333(f71(x95152,f879(x95151)),x95153),x95154),f333(f240(x95151),x95155))),f256(f882(x95152,a870))))) % 183.16/183.18 [9575]E(x95751,x95752)+~P23(f333(f66(x95753,x95754,x95755,x95751,f196(f882(x95753,a870))),x95752)) % 183.16/183.18 [9590]E(f333(f333(f268(x95901,x95902),f584(x95903,x95904,x95905,x95902,x95901)),f585(x95903,x95904,x95905,x95902,x95901)),x95905)+~P23(f333(f333(f335(f881(x95901,x95902)),x95905),f333(f333(f270(x95901,x95902),x95904),x95903))) % 183.16/183.18 [9682]P23(f333(f333(f335(x96821),f584(x96822,x96823,x96824,x96825,x96821)),x96823))+~P23(f333(f333(f335(f881(x96821,x96825)),x96824),f333(f333(f270(x96821,x96825),x96823),x96822))) % 183.16/183.18 [9790]P19(x97905,x97904,f333(f333(f311(f874(x97905)),f333(f333(f333(f91(x97905),x97901),x97903),x97902)),f196(f882(f874(x97905),a870))))+P23(f333(f333(x97901,f561(x97902,x97903,x97904,x97905,x97901)),f673(x97902,x97903,x97904,x97905,x97901))) % 183.16/183.18 [9841]P23(f333(f333(f335(x98411),f585(x98412,x98413,x98414,x98411,x98415)),f333(x98412,f584(x98412,x98413,x98414,x98411,x98415))))+~P23(f333(f333(f335(f881(x98415,x98411)),x98414),f333(f333(f270(x98415,x98411),x98413),x98412))) % 183.16/183.18 [9869]P23(f333(f333(f335(f881(x98691,x98691)),f333(f333(f268(x98691,x98691),x98692),f647(x98693,x98694,x98695,x98692,x98691))),x98693))+~P23(f333(f333(f335(f881(x98691,x98691)),f333(f333(f268(x98691,x98691),x98692),x98695)),f333(f333(f191(f881(x98691,x98691),a870),f333(a115,x98694)),x98693))) % 183.16/183.18 [9870]P23(f333(f333(f335(f881(x98701,x98701)),f333(f333(f268(x98701,x98701),x98702),f648(x98703,x98704,x98705,x98702,x98701))),x98703))+~P23(f333(f333(f335(f881(x98701,x98701)),f333(f333(f268(x98701,x98701),x98702),x98705)),f333(f333(f191(f881(x98701,x98701),a870),f333(a115,x98704)),x98703))) % 183.16/183.18 [9888]~P23(f333(f333(f335(f881(f876(x98881),f876(x98881))),f333(f333(f268(f876(x98881),f876(x98881)),f333(f333(f152(x98881),x98882),x98885)),x98884)),f159(x98881,x98883)))+P23(f333(f333(f335(f881(x98881,x98881)),f333(f333(f268(x98881,x98881),x98882),f674(x98883,x98884,x98885,x98882,x98881))),x98883)) % 183.16/183.18 [9890]~P19(x98901,x98902,f333(f333(f311(f874(x98901)),f333(f333(f333(f91(x98901),f94(x98901,x98903,x98904)),x98905),x98903)),f196(f882(f874(x98901),a870))))+P19(x98901,x98902,f333(f333(f311(f874(x98901)),f333(f333(f333(f91(x98901),x98903),f31(x98904,x98905)),f94(x98901,x98903,f333(f72(a870,a870,a872,a328),x98904)))),f196(f882(f874(x98901),a870)))) % 183.16/183.18 [9891]~P22(x98911,x98912,f333(f333(f311(f874(x98911)),f333(f333(f333(f91(x98911),f94(x98911,x98913,x98914)),x98915),x98913)),f196(f882(f874(x98911),a870))))+P22(x98911,x98912,f333(f333(f311(f874(x98911)),f333(f333(f333(f91(x98911),x98913),f31(x98914,x98915)),f94(x98911,x98913,f333(f72(a870,a870,a872,a328),x98914)))),f196(f882(f874(x98911),a870)))) % 183.16/183.18 [10151]P19(x101511,x101512,f333(f333(f311(f874(x101511)),f333(f333(f333(f91(x101511),x101513),x101514),x101515)),f196(f882(f874(x101511),a870))))+~P19(x101511,x101512,f333(f333(f311(f874(x101511)),f333(f333(f333(f91(x101511),f333(f16(f882(a872,a870),x101511),f333(f333(f7(a872,a872,a870),a330),f673(x101515,x101514,x101512,x101511,x101513)))),x101514),f333(f16(f882(a872,a870),x101511),f333(x101515,f561(x101515,x101514,x101512,x101511,x101513))))),f196(f882(f874(x101511),a870)))) % 183.16/183.18 [6321]P23(f333(x63212,x63214))+E(f179(x63211,x63212,f333(f333(f135(x63211),x63213),f333(f333(f152(x63211),x63214),x63215))),f179(x63211,x63212,x63213)) % 183.16/183.18 [6369]~P62(x63692)+E(f333(f333(f333(f113(f882(x63691,x63692)),x63693),x63694),x63695),f333(f333(f113(x63692),f333(x63693,x63695)),f333(x63694,x63695))) % 183.16/183.18 [6371]~P64(x63712)+E(f333(f333(f333(f22(f882(x63711,x63712)),x63713),x63714),x63715),f333(f333(f22(x63712),f333(x63713,x63715)),f333(x63714,x63715))) % 183.16/183.18 [6373]~P62(x63732)+E(f333(f333(f333(f104(f882(x63731,x63732)),x63733),x63734),x63735),f333(f333(f104(x63732),f333(x63733,x63735)),f333(x63734,x63735))) % 183.16/183.18 [6391]E(x63911,x63912)+E(f333(f333(f166(x63913),f333(f333(f160(x63913,x63914),x63911),x63915)),x63912),f333(f333(f166(x63913),x63914),x63912)) % 183.16/183.18 [6654]~E(x66544,f196(f882(x66543,a870)))+E(f333(f333(f113(f882(x66541,a870)),x66542),f333(f333(f41(x66543,f882(x66541,a870)),x66544),x66545)),x66542) % 183.16/183.18 [6655]~E(x66554,f196(f882(x66553,a870)))+E(f333(f333(f22(f882(x66551,a870)),x66552),f333(f333(f41(x66553,f882(x66551,a870)),x66554),x66555)),x66552) % 183.16/183.18 [6656]~E(x66564,f196(f882(x66563,a870)))+E(f333(f333(f104(f882(x66561,a870)),x66562),f333(f333(f42(x66563,f882(x66561,a870)),x66564),x66565)),x66562) % 183.16/183.18 [6670]~E(x66704,f196(f882(x66703,a870)))+E(f333(f333(f311(x66701),x66702),f333(f333(f41(x66703,f882(x66701,a870)),x66704),x66705)),f333(f333(f311(x66701),x66702),f196(f882(x66701,a870)))) % 183.16/183.18 [7463]E(f333(f333(f166(x74631),f333(f333(f155(x74632,x74631),x74633),x74634)),x74635),f333(x74633,f333(f333(f166(x74632),x74634),x74635)))+~P23(f333(f333(f248(a875),x74635),f333(f197(f876(x74632)),x74634))) % 183.16/183.18 [7530]E(f333(f333(f113(f882(x75301,a870)),f333(x75302,x75303)),f333(f333(f41(x75304,f882(x75301,a870)),x75305),x75302)),f333(f333(f41(x75304,f882(x75301,a870)),x75305),x75302))+~P23(f333(f333(f335(x75304),x75303),x75305)) % 183.16/183.18 [7531]E(f333(f333(f104(f882(x75311,a870)),f333(x75312,x75313)),f333(f333(f42(x75314,f882(x75311,a870)),x75315),x75312)),f333(f333(f42(x75314,f882(x75311,a870)),x75315),x75312))+~P23(f333(f333(f335(x75314),x75313),x75315)) % 183.16/183.18 [8145]~E(x81453,f196(f882(x81451,a870)))+E(f333(f333(f41(x81451,f882(x81452,a870)),x81453),f333(f333(f8(f882(x81452,a870),f882(x81452,a870),x81451),f333(f311(x81452),x81454)),x81455)),f196(f882(x81452,a870))) % 183.16/183.18 [8151]~P23(f333(f333(f335(x81514),x81513),x81515))+P23(f333(f333(f247(f882(x81511,a870)),f333(x81512,x81513)),f333(f333(f41(x81514,f882(x81511,a870)),x81515),x81512))) % 183.16/183.18 [8281]~E(f333(x82814,x82812),x82815)+P23(f333(f333(f335(x82811),x82812),f333(f313(x82811,x82813,x82814),f333(f333(f311(x82813),x82815),f196(f882(x82813,a870)))))) % 183.16/183.18 [8327]~P49(x83271,x83272,f333(f288(x83272,x83271),x83273))+E(f333(f333(f104(f882(x83271,a870)),f333(f287(x83272,x83271,x83273),x83274)),f333(f287(x83272,x83271,x83273),x83275)),f333(f287(x83272,x83271,x83273),f333(f333(f104(f882(x83272,a870)),x83274),x83275))) % 183.16/183.18 [8404]E(x84041,f2(a102))+E(f333(f121(x84042,x84043,f333(x84044,f333(f333(f22(a102),x84041),f77(a102)))),f333(f333(f7(x84042,a102,f877(x84043)),x84045),x84041)),f333(f208(x84042,x84043,x84044,x84045),x84041)) % 183.16/183.18 [8448]E(x84481,f196(f882(x84482,a870)))+E(f333(f333(f41(x84482,f882(x84483,a870)),x84481),f333(f333(f8(f882(x84483,a870),f882(x84483,a870),x84482),f333(f311(x84483),x84484)),x84485)),f333(f333(f311(x84483),x84484),f333(f333(f41(x84482,f882(x84483,a870)),x84481),x84485))) % 183.16/183.18 [8502]~P20(x85022,x85021,x85023,f256(f882(x85022,a870)))+E(f333(f333(f22(f882(x85021,a870)),f333(f312(x85022,x85021,x85023),x85024)),f333(f312(x85022,x85021,x85023),x85025)),f333(f312(x85022,x85021,x85023),f333(f333(f22(f882(x85022,a870)),x85024),x85025))) % 183.16/183.18 [8503]~P20(x85032,x85031,x85033,f256(f882(x85032,a870)))+E(f333(f333(f104(f882(x85031,a870)),f333(f312(x85032,x85031,x85033),x85034)),f333(f312(x85032,x85031,x85033),x85035)),f333(f312(x85032,x85031,x85033),f333(f333(f104(f882(x85032,a870)),x85034),x85035))) % 183.16/183.18 [8567]~P23(f333(f333(f67(x85671,x85672,x85675),x85673),x85674))+P23(f333(f333(f335(f881(x85671,x85672)),f333(f333(f268(x85671,x85672),x85673),x85674)),x85675)) % 183.16/183.18 [8598]P23(f333(f333(f335(x85981),x85982),f333(f264(x85983,x85981),x85984)))+~P23(f333(f333(f335(f881(x85983,x85981)),f333(f333(f268(x85983,x85981),x85985),x85982)),x85984)) % 183.16/183.18 [8600]P23(f333(f333(f335(x86001),x86002),f333(f266(x86001,x86003),x86004)))+~P23(f333(f333(f335(f881(x86001,x86003)),f333(f333(f268(x86001,x86003),x86002),x86005)),x86004)) % 183.16/183.18 [8733]P23(f333(f333(f67(x87331,x87332,x87333),x87334),x87335))+~P23(f333(f333(f335(f881(x87331,x87332)),f333(f333(f268(x87331,x87332),x87334),x87335)),x87333)) % 183.16/183.18 [8768]E(f333(x87681,x87682),x87683)+~P23(f333(f333(f335(x87684),x87682),f333(f313(x87684,x87685,x87681),f333(f333(f311(x87685),x87683),f196(f882(x87685,a870)))))) % 183.16/183.18 [9004]P23(f333(f333(f335(f881(x90041,x90042)),f333(f333(f268(x90041,x90042),x90043),x90044)),f333(f288(x90042,x90041),x90045)))+~P23(f333(f333(f335(f881(x90042,x90041)),f333(f333(f268(x90042,x90041),x90044),x90043)),x90045)) % 183.16/183.18 [9022]~P23(f333(f333(x90221,x90225),x90224))+P23(f333(f333(x90221,f333(f271(x90222,x90223),f333(f333(f268(x90222,x90223),x90224),x90225))),f333(f267(x90222,x90223),f333(f333(f268(x90222,x90223),x90224),x90225)))) % 183.16/183.18 [9052]~P23(f333(f333(f335(f881(x90522,x90521)),f333(f333(f268(x90522,x90521),x90524),x90523)),f333(f288(x90521,x90522),x90525)))+P23(f333(f333(f335(f881(x90521,x90522)),f333(f333(f268(x90521,x90522),x90523),x90524)),x90525)) % 183.16/183.18 [9082]~P23(f333(f333(f335(f881(x90823,x90821)),f333(f333(f268(x90823,x90821),x90825),x90822)),x90824))+P23(f333(f333(f335(x90821),x90822),f333(f287(x90823,x90821,x90824),f333(f333(f311(x90823),x90825),f196(f882(x90823,a870)))))) % 183.16/183.18 [9127]P23(f333(f333(f335(f881(x91271,x91272)),f333(f333(f268(x91271,x91272),x91273),x91274)),x91275))+~P23(f333(f333(f335(x91272),x91274),f333(f287(x91271,x91272,x91275),f333(f333(f311(x91271),x91273),f196(f882(x91271,a870)))))) % 183.16/183.18 [9148]E(f333(f333(f333(f71(x91481,f879(x91482)),f190(x91481,x91482,x91483,x91484)),x91485),f209(x91482)),f190(x91481,x91482,x91483,f333(f333(f22(f882(x91481,a870)),x91484),f333(f333(f311(x91481),x91485),f196(f882(x91481,a870))))))+~P23(f333(f333(f335(x91481),x91485),x91484)) % 183.16/183.18 [9216]~P66(x92161)+E(f333(f333(f6(a875,x92161),x92162),f304(a875,f333(f333(f79(a875),x92163),x92164),f333(f333(f79(a875),x92165),x92164))),f333(f333(f6(a875,x92161),f333(f333(f8(a875,x92161,a875),x92162),f333(f333(f7(a875,a875,a875),f79(a875)),x92164))),f304(a875,x92163,x92165))) % 183.16/183.18 [9240]~P66(x92401)+E(f333(f333(f6(a875,x92401),x92402),f333(f303(a875,f333(f333(f79(a875),x92403),x92404)),f333(f333(f79(a875),x92405),x92404))),f333(f333(f6(a875,x92401),f333(f333(f8(a875,x92401,a875),x92402),f333(f333(f7(a875,a875,a875),f79(a875)),x92404))),f333(f303(a875,x92403),x92405))) % 183.16/183.18 [9293]~P20(x92931,x92932,x92933,f256(f882(x92931,a870)))+E(f333(f333(f155(x92931,x92932),x92933),f333(f137(x92931,f333(f333(f8(a870,a870,x92931),a328),f333(a330,x92934))),x92935)),f333(f137(x92932,f333(f333(f8(a870,a870,x92932),a328),f333(a330,f333(x92933,x92934)))),f333(f333(f155(x92931,x92932),x92933),x92935))) % 183.16/183.18 [9311]~P20(x93111,x93112,x93113,f333(f333(f311(x93111),x93114),f333(f174(x93111),x93115)))+E(f333(f333(f155(x93111,x93112),x93113),f333(f137(x93111,f333(f333(f8(a870,a870,x93111),a328),f333(a330,x93114))),x93115)),f333(f137(x93112,f333(f333(f8(a870,a870,x93112),a328),f333(a330,f333(x93113,x93114)))),f333(f333(f155(x93111,x93112),x93113),x93115))) % 183.16/183.18 [9467]P23(f333(f333(f335(f881(f876(x94671),f876(x94671))),f333(f333(f268(f876(x94671),f876(x94671)),f333(f333(f152(x94671),x94672),x94673)),f333(f333(f152(x94671),x94674),x94673))),f158(x94671,x94675)))+~P23(f333(f333(f335(f881(x94671,x94671)),f333(f333(f268(x94671,x94671),x94672),x94674)),x94675)) % 183.16/183.18 [9503]P23(f333(f333(f333(f333(a204,x95031),x95032),x95033),f480(x95034,x95033,x95032,x95035,x95031)))+~P23(f333(f333(f333(f333(a204,f32(x95031,x95035)),x95032),x95033),x95034)) % 183.16/183.18 [9573]P19(x95731,x95732,f333(f333(f311(f874(x95731)),f333(f333(f333(f91(x95731),x95733),f333(a25,x95734)),x95735)),f196(f882(f874(x95731),a870))))+~P19(x95731,f333(f333(f311(f874(x95731)),f333(f333(f333(f91(x95731),x95733),f333(a25,x95734)),x95735)),x95732),f333(f333(f311(f874(x95731)),f333(f333(f333(f91(x95731),x95733),f333(f244(a871),f333(a27,x95734))),x95735)),f196(f882(f874(x95731),a870)))) % 183.16/183.18 [9585]E(f333(f333(f311(x95851),f750(x95852,x95853,x95854,x95855,x95851)),f758(x95852,x95853,x95854,x95855,x95851)),f333(f333(f311(x95851),x95854),x95853))+~P23(f333(f62(x95851,x95855,f333(f333(f311(x95851),x95854),x95853)),x95852)) % 183.16/183.18 [9586]E(f333(f333(f311(x95861),f771(x95862,x95863,x95864,x95865,x95861)),f783(x95862,x95863,x95864,x95865,x95861)),f333(f333(f311(x95861),x95864),x95863))+~P23(f333(f62(x95861,x95865,f333(f333(f311(x95861),x95864),x95863)),x95862)) % 183.16/183.18 [9668]P23(f333(f333(f335(x96681),f843(x96682,x96683,x96684,x96685,x96681)),x96684))+P23(f333(f333(f333(f42(x96681,f882(x96685,a870)),x96684),x96683),x96682)) % 183.16/183.18 [9673]P23(f333(f333(f335(x96731),f838(x96732,x96733,x96731,x96734,x96735)),x96733))+P23(f333(f333(f335(x96735),x96734),f333(f333(f42(x96731,f882(x96735,a870)),x96733),x96732))) % 183.16/183.18 [9681]P23(f333(f333(f335(x96811),f351(x96812,x96813,x96811,x96814,x96815)),x96813))+P23(f333(f333(f247(f882(x96815,a870)),x96814),f333(f333(f42(x96811,f882(x96815,a870)),x96813),x96812))) % 183.16/183.18 [9683]P23(f333(f333(x96831,f839(x96832,x96831,x96833,x96834,x96835)),x96832))+~P23(f333(f333(f333(f41(x96835,f882(x96834,a870)),x96833),x96831),x96832)) % 183.16/183.18 [9686]P23(f333(f333(f335(x96861),f839(x96862,x96863,x96864,x96865,x96861)),x96864))+~P23(f333(f333(f333(f41(x96861,f882(x96865,a870)),x96864),x96863),x96862)) % 183.16/183.18 [9696]P23(f333(f333(f335(x96961),f816(x96962,x96963,x96961,x96964,x96965)),x96963))+~P23(f333(f333(f335(x96965),x96964),f333(f333(f41(x96961,f882(x96965,a870)),x96963),x96962))) % 183.16/183.18 [9701]P23(f333(f333(f335(x97011),x97012),f333(x97013,f816(x97013,x97014,x97015,x97012,x97011))))+~P23(f333(f333(f335(x97011),x97012),f333(f333(f41(x97015,f882(x97011,a870)),x97014),x97013))) % 183.16/183.18 [9795]~P23(f333(f333(x97954,f843(x97955,x97954,x97953,x97952,x97951)),x97955))+P23(f333(f333(f333(f42(x97951,f882(x97952,a870)),x97953),x97954),x97955)) % 183.16/183.18 [9798]~P23(f333(f333(f335(x97981),x97982),f333(x97985,f838(x97985,x97984,x97983,x97982,x97981))))+P23(f333(f333(f335(x97981),x97982),f333(f333(f42(x97983,f882(x97981,a870)),x97984),x97985))) % 183.16/183.18 [9802]~P23(f333(f333(f247(f882(x98021,a870)),x98022),f333(x98025,f351(x98025,x98024,x98023,x98022,x98021))))+P23(f333(f333(f247(f882(x98021,a870)),x98022),f333(f333(f42(x98023,f882(x98021,a870)),x98024),x98025))) % 183.16/183.18 [9847]P23(f333(f333(f333(f333(a204,x98471),f480(x98472,x98473,x98474,x98471,x98475)),x98473),x98472))+~P23(f333(f333(f333(f333(a204,f32(x98475,x98471)),x98474),x98473),x98472)) % 183.16/183.18 [9873]~P23(f333(f333(f335(x98731),f750(x98735,x98734,x98733,x98732,x98731)),f758(x98735,x98734,x98733,x98732,x98731)))+~P23(f333(f62(x98731,x98732,f333(f333(f311(x98731),x98733),x98734)),x98735)) % 183.16/183.18 [9874]~P23(f333(f333(f335(x98741),f771(x98745,x98744,x98743,x98742,x98741)),f783(x98745,x98744,x98743,x98742,x98741)))+~P23(f333(f62(x98741,x98742,f333(f333(f311(x98741),x98743),x98744)),x98745)) % 183.16/183.18 [9875]~P23(f333(f333(f335(f881(x98751,x98751)),f333(f333(f268(x98751,x98751),x98752),x98755)),f333(f333(f191(f881(x98751,x98751),a870),f333(a115,x98754)),x98753)))+P23(f333(f333(f335(f881(x98751,x98751)),f333(f333(f268(x98751,x98751),x98752),f649(x98753,x98754,x98755,x98752,x98751))),f333(f333(f191(f881(x98751,x98751),a870),x98754),x98753))) % 183.16/183.18 [9882]P23(f333(f66(x98821,x98821,x98822,f750(x98823,x98824,x98825,x98822,x98821),f758(x98823,x98824,x98825,x98822,x98821)),x98823))+~P23(f333(f62(x98821,x98822,f333(f333(f311(x98821),x98825),x98824)),x98823)) % 183.16/183.18 [9883]P23(f333(f66(x98831,x98831,x98832,f771(x98833,x98834,x98835,x98832,x98831),f783(x98833,x98834,x98835,x98832,x98831)),x98833))+~P23(f333(f62(x98831,x98832,f333(f333(f311(x98831),x98835),x98834)),x98833)) % 183.16/183.18 [9895]~P106(x98951)+P28(x98951,f333(f333(f155(x98952,x98951),x98953),f333(f137(x98952,f333(f333(f7(x98952,x98951,a870),f333(f333(f8(x98951,f882(x98951,a870),x98952),a330),x98953)),f333(x98954,x98955))),x98955))) % 183.16/183.18 [9935]~P23(f333(f333(f335(x99352),x99355),f333(f287(x99351,x99352,x99354),x99353)))+P23(f333(f333(f335(f881(x99351,x99352)),f333(f333(f268(x99351,x99352),f532(x99353,x99354,x99351,x99355,x99352)),x99355)),x99354)) % 183.16/183.18 [9936]~P23(f333(f333(f335(x99362),x99365),f333(f287(x99361,x99362,x99364),x99363)))+P23(f333(f333(f335(f881(x99361,x99362)),f333(f333(f268(x99361,x99362),f554(x99363,x99364,x99361,x99365,x99362)),x99365)),x99364)) % 183.16/183.18 [9956]~P23(f333(f333(f335(f881(x99561,x99561)),f333(f333(f268(x99561,x99561),x99565),x99564)),f333(f333(f191(f881(x99561,x99561),a870),f333(a115,x99563)),x99562)))+P23(f333(f333(f335(f881(x99561,x99561)),f333(f333(f268(x99561,x99561),f649(x99562,x99563,x99564,x99565,x99561)),x99564)),x99562)) % 183.16/183.18 [9959]~P23(f333(f333(f335(f881(x99591,x99591)),f333(f333(f268(x99591,x99591),x99595),x99594)),f333(f333(f191(f881(x99591,x99591),a870),f333(a115,x99593)),x99592)))+P23(f333(f333(f335(f881(x99591,x99591)),f333(f333(f268(x99591,x99591),f647(x99592,x99593,x99594,x99595,x99591)),x99594)),f333(f333(f191(f881(x99591,x99591),a870),x99593),x99592))) % 183.16/183.18 [9960]~P23(f333(f333(f335(f881(x99601,x99601)),f333(f333(f268(x99601,x99601),x99605),x99604)),f333(f333(f191(f881(x99601,x99601),a870),f333(a115,x99603)),x99602)))+P23(f333(f333(f335(f881(x99601,x99601)),f333(f333(f268(x99601,x99601),f648(x99602,x99603,x99604,x99605,x99601)),x99604)),f333(f333(f191(f881(x99601,x99601),a870),x99603),x99602))) % 183.16/183.18 [9961]~P23(f333(f333(f335(f881(f876(x99611),f876(x99611))),f333(f333(f268(f876(x99611),f876(x99611)),x99615),f333(f333(f152(x99611),x99614),x99613))),f159(x99611,x99612)))+P23(f333(f333(f335(f881(x99611,x99611)),f333(f333(f268(x99611,x99611),f670(x99612,x99613,x99614,x99615,x99611)),x99614)),x99612)) % 183.16/183.18 [7057]E(x70571,f209(x70572))+E(f186(x70573,x70572,f333(f333(f333(f71(x70573,f879(x70572)),x70574),x70575),x70571)),f333(f333(f311(x70573),x70575),f186(x70573,x70572,x70574))) % 183.16/183.18 [7551]~E(x75513,f196(f882(x75512,a870)))+E(f333(f333(f113(f882(x75511,a870)),f333(f333(f41(x75512,f882(x75511,a870)),x75513),x75514)),x75515),x75515) % 183.16/183.18 [7552]~E(x75523,f196(f882(x75522,a870)))+E(f333(f333(f104(f882(x75521,a870)),f333(f333(f42(x75522,f882(x75521,a870)),x75523),x75524)),x75525),x75525) % 183.16/183.18 [7915]~E(x79155,f209(x79152))+E(f186(x79151,x79152,f333(f333(f333(f71(x79151,f879(x79152)),x79153),x79154),x79155)),f333(f333(f22(f882(x79151,a870)),f186(x79151,x79152,x79153)),f333(f333(f311(x79151),x79154),f196(f882(x79151,a870))))) % 183.16/183.18 [7985]~E(x79853,f196(f882(x79852,a870)))+E(f333(f333(f22(f882(x79851,a870)),f333(f333(f42(x79852,f882(x79851,a870)),x79853),x79854)),x79855),f333(f333(f22(f882(x79851,a870)),f256(f882(x79851,a870))),x79855)) % 183.16/183.18 [8116]E(f333(f333(f160(x81161,f333(f333(f135(x81161),x81162),x81163)),x81164),x81165),f333(f333(f135(x81161),f333(f333(f160(x81161,x81162),x81164),x81165)),x81163))+~P23(f333(f333(f248(a875),x81164),f333(f197(f876(x81161)),x81162))) % 183.16/183.18 [8233]P23(f333(f333(f335(x82331),x82335),f333(f174(x82331),x82333)))+E(f333(f333(f180(x82331,x82332),f333(f333(f184(x82331,x82332),x82333),f333(f333(f155(x82331,x82332),x82334),x82333))),x82335),f209(x82332)) % 183.16/183.18 [8354]~P23(f333(f333(f335(x83541),x83545),f333(f174(x83541),x83543)))+E(f333(f333(f180(x83541,x83542),f333(f333(f184(x83541,x83542),x83543),f333(f333(f155(x83541,x83542),x83544),x83543))),x83545),f333(f240(x83542),f333(x83544,x83545))) % 183.16/183.18 [8394]E(f333(f333(f166(x83941),f333(f333(f155(a875,x83941),x83942),f140(a875,f333(f303(a875,x83943),x83944)))),x83945),f333(x83942,f333(f333(f79(a875),x83943),x83945)))+~P23(f333(f333(f248(a875),x83945),f333(f333(f22(a875),x83944),x83943))) % 183.16/183.18 [8409]E(x84091,f2(a102))+E(f123(x84092,x84093,f333(x84094,f333(f333(f22(a102),x84091),f77(a102))),f333(f333(f7(x84092,a102,f877(f879(x84093))),x84095),x84091)),f333(f206(x84092,x84093,x84094,x84095),x84091)) % 183.16/183.18 [8435]~E(x84353,f196(f882(x84351,a870)))+E(f333(f333(f41(x84351,f882(x84352,a870)),x84353),f333(f333(f8(f882(x84352,a870),f882(x84352,a870),x84351),f333(f113(f882(x84352,a870)),x84354)),x84355)),f196(f882(x84352,a870))) % 183.16/183.18 [8436]~E(x84363,f196(f882(x84361,a870)))+E(f333(f333(f42(x84361,f882(x84362,a870)),x84363),f333(f333(f8(f882(x84362,a870),f882(x84362,a870),x84361),f333(f22(f882(x84362,a870)),x84364)),x84365)),f256(f882(x84362,a870))) % 183.16/183.18 [8437]~E(x84373,f196(f882(x84371,a870)))+E(f333(f333(f42(x84371,f882(x84372,a870)),x84373),f333(f333(f8(f882(x84372,a870),f882(x84372,a870),x84371),f333(f104(f882(x84372,a870)),x84374)),x84375)),f256(f882(x84372,a870))) % 183.16/183.18 [8442]~P134(x84422)+E(f333(f333(f6(x84421,x84422),f333(f333(f8(x84422,x84422,x84421),f333(f80(x84422),x84423)),x84424)),x84425),f333(f333(f80(x84422),x84423),f333(f333(f6(x84421,x84422),x84424),x84425))) % 183.16/183.18 [8718]E(x87181,f196(f882(x87182,a870)))+E(f333(f333(f41(x87182,f882(x87183,a870)),x87181),f333(f333(f8(f882(x87183,a870),f882(x87183,a870),x87182),f333(f113(f882(x87183,a870)),x87184)),x87185)),f333(f333(f113(f882(x87183,a870)),x87184),f333(f333(f41(x87182,f882(x87183,a870)),x87181),x87185))) % 183.16/183.18 [8719]E(x87191,f196(f882(x87192,a870)))+E(f333(f333(f42(x87192,f882(x87193,a870)),x87191),f333(f333(f8(f882(x87193,a870),f882(x87193,a870),x87192),f333(f22(f882(x87193,a870)),x87194)),x87195)),f333(f333(f22(f882(x87193,a870)),x87194),f333(f333(f41(x87192,f882(x87193,a870)),x87191),x87195))) % 183.16/183.18 [8720]E(x87201,f196(f882(x87202,a870)))+E(f333(f333(f42(x87202,f882(x87203,a870)),x87201),f333(f333(f8(f882(x87203,a870),f882(x87203,a870),x87202),f333(f104(f882(x87203,a870)),x87204)),x87205)),f333(f333(f104(f882(x87203,a870)),x87204),f333(f333(f42(x87202,f882(x87203,a870)),x87201),x87205))) % 183.16/183.18 [8917]~P23(f333(f333(f248(a875),f333(x89174,x89172)),f333(x89174,x89173)))+P23(f333(f333(f335(f881(x89171,x89171)),f333(f333(f268(x89171,x89171),x89172),x89173)),f154(x89171,f333(f333(f152(f882(x89171,a875)),x89174),x89175)))) % 183.16/183.18 [9183]~P20(x91832,x91831,x91833,f333(f333(f113(f882(x91832,a870)),x91834),x91835))+E(f333(f333(f104(f882(x91831,a870)),f333(f312(x91832,x91831,x91833),f333(f333(f22(f882(x91832,a870)),x91834),x91835))),f333(f312(x91832,x91831,x91833),f333(f333(f22(f882(x91832,a870)),x91835),x91834))),f196(f882(x91831,a870))) % 183.16/183.18 [9463]~P23(f333(f333(f247(f882(x94633,a870)),f333(f287(x94631,x94633,x94634),x94632)),x94635))+P23(f333(f333(f247(f882(x94631,a870)),x94632),f333(f78(f882(x94631,a870)),f333(f287(x94633,x94631,f333(f288(x94631,x94633),x94634)),f333(f78(f882(x94633,a870)),x94635))))) % 183.16/183.18 [9488]~P20(x94881,x94882,x94883,f333(f333(f311(x94881),x94884),x94885))+~P23(f333(f333(f335(x94882),f333(x94883,x94884)),f333(f312(x94881,x94882,x94883),f333(f333(f22(f882(x94881,a870)),x94885),f333(f333(f311(x94881),x94884),f196(f882(x94881,a870))))))) % 183.16/183.18 [9539]P23(f333(f333(f247(f882(x95391,a870)),f333(f287(x95392,x95391,x95393),x95394)),x95395))+~P23(f333(f333(f247(f882(x95392,a870)),x95394),f333(f78(f882(x95392,a870)),f333(f287(x95391,x95392,f333(f288(x95392,x95391),x95393)),f333(f78(f882(x95391,a870)),x95395))))) % 183.16/183.18 [9613]~P83(x96131)+P23(f333(f333(f247(x96131),f333(f74(x96131),f333(f333(f22(x96131),f333(f333(f79(x96131),x96132),x96133)),f333(f333(f79(x96131),x96134),x96135)))),f333(f333(f79(x96131),f333(f74(x96131),f333(f333(f22(x96131),x96132),x96134))),f333(f74(x96131),f333(f333(f22(x96131),x96133),x96135))))) % 183.16/183.18 [9716]P23(f333(f333(f335(x97161),f352(x97162,x97163,x97164,x97161,x97165)),x97164))+P23(f333(f333(f247(f882(x97165,a870)),f333(f333(f41(x97161,f882(x97165,a870)),x97164),x97163)),x97162)) % 183.16/183.18 [9913]~P23(f333(f333(f247(f882(x99131,a870)),f333(x99134,f352(x99135,x99134,x99133,x99132,x99131))),x99135))+P23(f333(f333(f247(f882(x99131,a870)),f333(f333(f41(x99132,f882(x99131,a870)),x99133),x99134)),x99135)) % 183.16/183.18 [8548]E(f333(f333(f135(x85481),x85482),f333(f333(f160(x85481,x85483),f333(f333(f22(a875),x85484),f333(f197(f876(x85481)),x85482))),x85485)),f333(f333(f160(x85481,f333(f333(f135(x85481),x85482),x85483)),x85484),x85485))+P23(f333(f333(f248(a875),x85484),f333(f197(f876(x85481)),x85482))) % 183.16/183.18 [8574]~P135(x85741)+E(f333(f333(f79(x85741),f333(f333(f80(x85741),x85742),x85743)),f333(f333(f79(x85741),f333(f333(f80(x85741),x85744),x85743)),x85745)),f333(f333(f79(x85741),f333(f333(f80(x85741),f333(f333(f79(x85741),x85742),x85744)),x85743)),x85745)) % 183.16/183.18 [9137]~P134(x91371)+E(f333(f167(x91371),f333(f333(f155(x91372,x91371),f333(f333(f8(x91371,x91371,x91372),f333(f80(x91371),x91373)),x91374)),x91375)),f333(f333(f80(x91371),x91373),f333(f167(x91371),f333(f333(f155(x91372,x91371),x91374),x91375)))) % 183.16/183.18 [9310]E(f333(f197(f876(x93101)),f333(f333(f177(x93101),f333(f333(f245(a875),f333(f197(f876(x93101)),x93102)),f333(f197(f876(x93103)),x93104))),x93102)),f333(f197(f876(x93103)),f333(f333(f177(x93103),f333(f333(f245(a875),f333(f197(f876(x93101)),x93102)),f333(f197(f876(x93103)),x93104))),x93104)))+P23(f333(x93105,f333(f333(f184(x93101,x93103),x93102),x93104))) % 183.16/183.18 [9550]~P134(x95502)+E(f333(f333(f6(x95501,x95502),f333(f333(f7(x95501,x95502,x95502),f333(f333(f8(x95502,f882(x95502,x95502),x95501),f80(x95502)),x95503)),x95504)),x95505),f333(f333(f80(x95502),f333(f333(f6(x95501,x95502),x95503),x95505)),x95504)) % 183.16/183.18 [9551]~P59(x95512)+E(f333(f333(f6(x95511,x95512),f333(f333(f7(x95511,x95512,x95512),f333(f333(f8(x95512,f882(x95512,x95512),x95511),f291(x95512)),x95513)),x95514)),x95515),f333(f333(f291(x95512),f333(f333(f6(x95511,x95512),x95513),x95515)),x95514)) % 183.16/183.18 [9558]~P65(x95582)+E(f333(f333(f6(x95581,x95582),f333(f333(f18(x95581,x95582,x95582),f333(f333(f8(x95582,f882(x95582,x95582),x95581),f22(x95582)),x95583)),x95584)),x95585),f333(f333(f22(x95582),f333(f333(f6(x95581,x95582),x95583),x95585)),f333(f333(f6(x95581,x95582),x95584),x95585))) % 183.16/183.18 [9559]~P66(x95592)+E(f333(f333(f6(x95591,x95592),f333(f333(f18(x95591,x95592,x95592),f333(f333(f8(x95592,f882(x95592,x95592),x95591),f79(x95592)),x95593)),x95594)),x95595),f333(f333(f79(x95592),f333(f333(f6(x95591,x95592),x95593),x95595)),f333(f333(f6(x95591,x95592),x95594),x95595))) % 183.16/183.18 [9560]~P73(x95602)+E(f333(f333(f9(x95601,x95602),f333(f333(f18(x95601,x95602,x95602),f333(f333(f8(x95602,f882(x95602,x95602),x95601),f80(x95602)),x95603)),x95604)),x95605),f333(f333(f80(x95602),f333(f333(f9(x95601,x95602),x95603),x95605)),f333(f333(f9(x95601,x95602),x95604),x95605))) % 183.16/183.18 [9598]~E(x95983,f196(f882(x95981,a870)))+E(f333(f333(f41(x95981,f882(x95982,a870)),x95983),f333(f333(f7(x95981,f882(x95982,a870),f882(x95982,a870)),f333(f333(f8(f882(x95982,a870),f882(f882(x95982,a870),f882(x95982,a870)),x95981),f113(f882(x95982,a870))),x95984)),x95985)),f196(f882(x95982,a870))) % 183.16/183.18 [9599]~E(x95993,f196(f882(x95991,a870)))+E(f333(f333(f42(x95991,f882(x95992,a870)),x95993),f333(f333(f7(x95991,f882(x95992,a870),f882(x95992,a870)),f333(f333(f8(f882(x95992,a870),f882(f882(x95992,a870),f882(x95992,a870)),x95991),f22(f882(x95992,a870))),x95994)),x95995)),f256(f882(x95992,a870))) % 183.16/183.18 [9600]~E(x96003,f196(f882(x96001,a870)))+E(f333(f333(f42(x96001,f882(x96002,a870)),x96003),f333(f333(f7(x96001,f882(x96002,a870),f882(x96002,a870)),f333(f333(f8(f882(x96002,a870),f882(f882(x96002,a870),f882(x96002,a870)),x96001),f104(f882(x96002,a870))),x96004)),x96005)),f256(f882(x96002,a870))) % 183.16/183.18 [9621]E(x96211,f196(f882(x96212,a870)))+E(f333(f333(f41(x96212,f882(x96213,a870)),x96211),f333(f333(f7(x96212,f882(x96213,a870),f882(x96213,a870)),f333(f333(f8(f882(x96213,a870),f882(f882(x96213,a870),f882(x96213,a870)),x96212),f113(f882(x96213,a870))),x96214)),x96215)),f333(f333(f113(f882(x96213,a870)),f333(f333(f41(x96212,f882(x96213,a870)),x96211),x96214)),x96215)) % 183.16/183.18 [9622]E(x96221,f196(f882(x96222,a870)))+E(f333(f333(f42(x96222,f882(x96223,a870)),x96221),f333(f333(f7(x96222,f882(x96223,a870),f882(x96223,a870)),f333(f333(f8(f882(x96223,a870),f882(f882(x96223,a870),f882(x96223,a870)),x96222),f22(f882(x96223,a870))),x96224)),x96225)),f333(f333(f22(f882(x96223,a870)),f333(f333(f42(x96222,f882(x96223,a870)),x96221),x96224)),x96225)) % 183.16/183.18 [9623]E(x96231,f196(f882(x96232,a870)))+E(f333(f333(f42(x96232,f882(x96233,a870)),x96231),f333(f333(f7(x96232,f882(x96233,a870),f882(x96233,a870)),f333(f333(f8(f882(x96233,a870),f882(f882(x96233,a870),f882(x96233,a870)),x96232),f104(f882(x96233,a870))),x96234)),x96235)),f333(f333(f104(f882(x96233,a870)),f333(f333(f42(x96232,f882(x96233,a870)),x96231),x96234)),x96235)) % 183.16/183.18 [9190]~P23(f333(f333(f247(a875),x91901),x91904))+E(f333(f333(f22(a875),f333(f333(f79(a875),f333(f333(f80(a875),x91901),x91902)),x91903)),f333(f333(f79(a875),f333(f333(f80(a875),x91904),x91902)),x91905)),f333(f333(f22(a875),x91903),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x91904),x91901)),x91902)),x91905))) % 183.16/183.18 [9776]~P134(x97761)+E(f333(f167(x97761),f333(f333(f155(x97762,x97761),f333(f333(f7(x97762,x97761,x97761),f333(f333(f8(x97761,f882(x97761,x97761),x97762),f80(x97761)),x97763)),x97764)),x97765)),f333(f333(f80(x97761),f333(f167(x97761),f333(f333(f155(x97762,x97761),x97763),x97765))),x97764)) % 183.16/183.18 [9782]~P65(x97821)+E(f333(f167(x97821),f333(f333(f155(x97822,x97821),f333(f333(f18(x97822,x97821,x97821),f333(f333(f8(x97821,f882(x97821,x97821),x97822),f22(x97821)),x97823)),x97824)),x97825)),f333(f333(f22(x97821),f333(f167(x97821),f333(f333(f155(x97822,x97821),x97823),x97825))),f333(f167(x97821),f333(f333(f155(x97822,x97821),x97824),x97825)))) % 183.16/183.18 [9783]~P66(x97831)+E(f333(f167(x97831),f333(f333(f155(x97832,x97831),f333(f333(f18(x97832,x97831,x97831),f333(f333(f8(x97831,f882(x97831,x97831),x97832),f79(x97831)),x97833)),x97834)),x97835)),f333(f333(f79(x97831),f333(f167(x97831),f333(f333(f155(x97832,x97831),x97833),x97835))),f333(f167(x97831),f333(f333(f155(x97832,x97831),x97834),x97835)))) % 183.16/183.18 [9926]P23(f333(x99261,f333(f333(f184(x99262,x99263),x99264),x99265)))+~P23(f333(x99261,f333(f333(f184(x99262,x99263),f333(f333(f177(x99262),f333(f333(f245(a875),f333(f197(f876(x99262)),x99264)),f333(f197(f876(x99263)),x99265))),x99264)),f333(f333(f177(x99263),f333(f333(f245(a875),f333(f197(f876(x99262)),x99264)),f333(f197(f876(x99263)),x99265))),x99265)))) % 183.16/183.18 [10160]~P23(f333(f333(f335(f881(x101602,x101601)),f333(f333(f268(x101602,x101601),x101604),x101605)),f333(f288(x101601,x101602),x101603)))+P23(f333(f333(f257(x101601,x101602,f333(f333(f7(x101601,f882(f881(x101601,x101602),a870),f882(x101602,a870)),f333(f333(f8(f882(x101602,f882(f882(f881(x101601,x101602),a870),a870)),f882(f882(f881(x101601,x101602),a870),f882(x101602,a870)),x101601),f7(x101602,f882(f881(x101601,x101602),a870),a870)),f333(f333(f8(f882(x101602,f881(x101601,x101602)),f882(x101602,f882(f882(f881(x101601,x101602),a870),a870)),x101601),f333(f8(f881(x101601,x101602),f882(f882(f881(x101601,x101602),a870),a870),x101602),f335(f881(x101601,x101602)))),f268(x101601,x101602)))),x101603)),x101604),x101605)) % 183.16/183.18 [10169]P23(f333(f333(f335(f881(x101691,x101692)),f333(f333(f268(x101691,x101692),x101693),x101694)),f333(f288(x101692,x101691),x101695)))+~P23(f333(f333(f257(x101692,x101691,f333(f333(f7(x101692,f882(f881(x101692,x101691),a870),f882(x101691,a870)),f333(f333(f8(f882(x101691,f882(f882(f881(x101692,x101691),a870),a870)),f882(f882(f881(x101692,x101691),a870),f882(x101691,a870)),x101692),f7(x101691,f882(f881(x101692,x101691),a870),a870)),f333(f333(f8(f882(x101691,f881(x101692,x101691)),f882(x101691,f882(f882(f881(x101692,x101691),a870),a870)),x101692),f333(f8(f881(x101692,x101691),f882(f882(f881(x101692,x101691),a870),a870),x101691),f335(f881(x101692,x101691)))),f268(x101692,x101691)))),x101695)),x101693),x101694)) % 183.16/183.18 [9431]~P23(f333(f333(f247(a875),x94314),x94311))+E(f333(f333(f22(a875),f333(f333(f79(a875),f333(f333(f80(a875),x94311),x94312)),x94313)),f333(f333(f79(a875),f333(f333(f80(a875),x94314),x94312)),x94315)),f333(f333(f22(a875),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x94311),x94314)),x94312)),x94313)),x94315)) % 183.16/183.18 [10178]P19(x101781,x101782,f333(f312(a873,f874(x101781),f333(f333(f18(a873,f882(x101781,f882(a872,a870)),f874(x101781)),f333(f333(f18(a873,a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),f333(f333(f8(f882(x101781,f882(a872,a870)),f882(a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),a873),f91(x101781)),x101783)),a25)),x101784)),x101785))+~P19(x101781,f333(f333(f113(f882(f874(x101781),a870)),x101782),f333(f312(a873,f874(x101781),f333(f333(f18(a873,f882(x101781,f882(a872,a870)),f874(x101781)),f333(f333(f18(a873,a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),f333(f333(f8(f882(x101781,f882(a872,a870)),f882(a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),a873),f91(x101781)),x101783)),a25)),x101784)),x101785)),f333(f312(a873,f874(x101781),f333(f333(f18(a873,f882(x101781,f882(a872,a870)),f874(x101781)),f333(f333(f18(a873,a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),f333(f333(f8(f882(x101781,f882(a872,a870)),f882(a871,f882(f882(x101781,f882(a872,a870)),f874(x101781))),a873),f91(x101781)),x101783)),f333(f333(f8(f879(a871),a871,a873),f244(a871)),a27))),x101784)),x101785)) % 183.16/183.18 [10179]P22(x101791,x101792,f333(f312(a873,f874(x101791),f333(f333(f18(a873,f882(x101791,f882(a872,a870)),f874(x101791)),f333(f333(f18(a873,a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),f333(f333(f8(f882(x101791,f882(a872,a870)),f882(a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),a873),f91(x101791)),x101793)),a25)),x101794)),x101795))+~P22(x101791,f333(f333(f113(f882(f874(x101791),a870)),x101792),f333(f312(a873,f874(x101791),f333(f333(f18(a873,f882(x101791,f882(a872,a870)),f874(x101791)),f333(f333(f18(a873,a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),f333(f333(f8(f882(x101791,f882(a872,a870)),f882(a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),a873),f91(x101791)),x101793)),a25)),x101794)),x101795)),f333(f312(a873,f874(x101791),f333(f333(f18(a873,f882(x101791,f882(a872,a870)),f874(x101791)),f333(f333(f18(a873,a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),f333(f333(f8(f882(x101791,f882(a872,a870)),f882(a871,f882(f882(x101791,f882(a872,a870)),f874(x101791))),a873),f91(x101791)),x101793)),f333(f333(f8(f879(a871),a871,a873),f244(a871)),a27))),x101794)),x101795)) % 183.16/183.18 [5255]E(x52551,x52552)+~E(f29(x52553,x52554,x52551),f29(x52555,x52556,x52552)) % 183.16/183.18 [5256]E(x52561,x52562)+~E(f29(x52563,x52561,x52564),f29(x52565,x52562,x52566)) % 183.16/183.18 [5257]E(x52571,x52572)+~E(f29(x52571,x52573,x52574),f29(x52572,x52575,x52576)) % 183.16/183.18 [5258]E(x52581,x52582)+~E(f28(x52583,x52584,x52581),f28(x52585,x52586,x52582)) % 183.16/183.18 [5259]E(x52591,x52592)+~E(f28(x52593,x52591,x52594),f28(x52595,x52592,x52596)) % 183.16/183.18 [5260]E(x52601,x52602)+~E(f28(x52601,x52603,x52604),f28(x52602,x52605,x52606)) % 183.16/183.18 [6697]E(f333(f187(x66971,x66972,x66973,x66974),x66975),f333(f240(x66972),x66976))+~E(f333(x66974,x66975),f333(f240(x66972),x66976)) % 183.16/183.18 [6841]E(f333(f242(f879(x68411),x68412,f209(x68411),x68413),f333(x68414,x68415)),f333(x68413,x68416))+~E(f333(x68414,x68415),f333(f240(x68412),x68416)) % 183.16/183.18 [8377]~P14(x83775,x83771,x83772,x83776)+E(f333(f72(x83771,x83771,x83771,f333(x83772,x83773)),f333(x83772,x83774)),f333(f72(x83771,x83771,x83771,f333(x83772,x83774)),f333(x83772,x83773))) % 183.16/183.18 [8615]~P51(x86154,x86155,x86152,x86151,x86156)+E(f333(x86151,f333(x86152,x86153)),x86153) % 183.16/183.18 [8766]P20(x87661,x87662,x87663,x87664)+~P20(x87661,x87665,f333(f72(x87662,x87665,x87661,x87666),x87663),x87664) % 183.16/183.18 [8850]~P20(x88504,x88502,f333(f72(x88501,x88502,x88504,x88503),x88505),x88506)+P20(x88501,x88502,x88503,f333(f312(x88504,x88501,x88505),x88506)) % 183.16/183.18 [9561]P23(f333(f61(x95611),x95612))+~P23(f333(f66(x95611,x95613,x95614,x95615,x95612),x95616)) % 183.16/183.18 [9569]~P23(f333(f333(f335(x95694),x95693),f301(x95694,x95695,x95691,x95692,x95696)))+P23(f333(f333(x95691,x95692),x95693)) % 183.16/183.18 [9570]~P23(f333(f333(f335(x95704),x95703),f298(x95704,x95701,x95705,x95702,x95706)))+P23(f333(f333(x95701,x95702),x95703)) % 183.16/183.18 [9571]~P23(f333(f333(f335(x95714),x95712),f301(x95714,x95711,x95715,x95716,x95713)))+P23(f333(f333(x95711,x95712),x95713)) % 183.16/183.18 [9572]~P23(f333(f333(f335(x95724),x95722),f298(x95724,x95725,x95721,x95726,x95723)))+P23(f333(f333(x95721,x95722),x95723)) % 183.16/183.18 [5760]E(x57601,x57602)+~E(f333(f333(f268(x57603,x57604),x57605),x57601),f333(f333(f268(x57603,x57604),x57606),x57602)) % 183.16/183.18 [5762]E(x57621,x57622)+~E(f333(f333(f268(x57623,x57624),x57621),x57625),f333(f333(f268(x57623,x57624),x57622),x57626)) % 183.16/183.18 [5886]~P11(x58865,x58866,x58861)+E(f333(f333(x58861,x58862),f333(f333(x58861,x58863),x58864)),f333(f333(x58861,x58863),f333(f333(x58861,x58862),x58864))) % 183.16/183.18 [7297]~P32(x72974,x72971,f333(f333(f152(x72974),x72972),x72975),f333(f333(f152(x72974),x72973),x72976))+P23(f333(f333(x72971,x72972),x72973)) % 183.16/183.18 [7665]P32(x76651,x76652,x76653,x76654)+~P32(x76651,x76652,f333(f333(f152(x76651),x76655),x76653),f333(f333(f152(x76651),x76656),x76654)) % 183.16/183.18 [8709]~P51(x87095,x87091,x87092,x87096,x87094)+P23(f333(f333(f335(x87091),f333(x87092,x87093)),x87094)) % 183.16/183.18 [8878]E(f333(f75(x88781,x88782,x88783,x88784,x88785),x88786),f333(x88783,x88786))+P23(f333(f333(f335(x88781),x88786),x88785)) % 183.16/183.18 [8900]~E(x89003,f333(f333(f152(x89001),x89005),x89006))+P23(f333(f333(f335(f881(f876(x89001),f876(x89001))),f333(f333(f268(f876(x89001),f876(x89001)),x89002),f333(f333(f135(x89001),x89002),x89003))),f148(x89001,x89004))) % 183.16/183.18 [8907]E(f333(f75(x89071,x89072,x89073,x89074,x89075),x89076),f333(x89074,x89076))+~P23(f333(f333(f335(x89071),x89076),x89075)) % 183.16/183.18 [8912]E(f333(f189(x89121,x89122,x89123,x89124,x89125),x89126),f333(x89123,x89126))+P23(f333(f333(f335(x89121),x89126),f333(f174(x89121),x89124))) % 183.16/183.18 [9141]~P34(x91411,x91412,x91413,x91415,x91416)+P34(x91411,x91412,x91413,f333(f333(f177(x91411),x91414),x91415),f333(f333(f177(x91412),x91414),x91416)) % 183.16/183.18 [9142]~P34(x91421,x91422,x91423,x91425,x91426)+P34(x91421,x91422,x91423,f333(f333(f139(x91421),x91424),x91425),f333(f333(f139(x91422),x91424),x91426)) % 183.16/183.18 [9633]~P18(x96334,x96332,x96335,x96333,x96336,x96331)+E(f333(x96331,f196(f882(x96332,a870))),x96333) % 183.16/183.18 [9876]~E(f333(x98764,f333(f267(x98761,x98763),x98765)),f333(x98766,f333(f267(x98761,x98763),x98765)))+E(f333(f273(x98761,x98762,x98763,x98763,x98764,f33(x98763)),x98765),f333(f273(x98761,x98762,x98763,x98763,x98766,f33(x98763)),x98765)) % 183.16/183.18 [9877]~E(f333(x98774,f333(f271(x98771,x98772),x98775)),f333(x98776,f333(f271(x98771,x98772),x98775)))+E(f333(f273(x98771,x98771,x98772,x98773,f33(x98771),x98774),x98775),f333(f273(x98771,x98771,x98772,x98773,f33(x98771),x98776),x98775)) % 183.16/183.18 [9922]~E(f333(f273(x99222,x99226,x99223,x99223,x99221,f33(x99223)),x99224),f333(f273(x99222,x99226,x99223,x99223,x99225,f33(x99223)),x99224))+E(f333(x99221,f333(f267(x99222,x99223),x99224)),f333(x99225,f333(f267(x99222,x99223),x99224))) % 183.16/183.18 [9923]~E(f333(f273(x99232,x99232,x99233,x99236,f33(x99232),x99231),x99234),f333(f273(x99232,x99232,x99233,x99236,f33(x99232),x99235),x99234))+E(f333(x99231,f333(f271(x99232,x99233),x99234)),f333(x99235,f333(f271(x99232,x99233),x99234))) % 183.16/183.18 [8805]P23(f333(f333(f335(x88051),x88052),x88053))+~P23(f333(f333(f335(f881(x88051,x88054)),f333(f333(f268(x88051,x88054),x88052),x88055)),f333(f333(f270(x88051,x88054),x88053),x88056))) % 183.16/183.18 [8820]P23(f333(f333(f335(x88201),x88202),f333(x88203,x88204)))+~P23(f333(f333(f335(f881(x88205,x88201)),f333(f333(f268(x88205,x88201),x88204),x88202)),f333(f333(f270(x88205,x88201),x88206),x88203))) % 183.16/183.18 [8909]~E(f333(f197(f876(x89091)),x89094),f333(f197(f876(x89092)),x89095))+E(f189(x89091,x89092,x89093,x89094,f333(f333(f135(x89092),x89095),x89096)),f189(x89091,x89092,x89093,x89094,x89095)) % 183.16/183.18 [8910]~E(f333(f197(f876(x89101)),x89104),f333(f197(f876(x89102)),x89106))+E(f189(x89101,x89102,x89103,f333(f333(f135(x89101),x89104),x89105),x89106),f189(x89101,x89102,x89103,x89104,x89106)) % 183.16/183.18 [9162]P23(f333(f333(f335(x91621),x91624),f186(x91621,x91622,x91626)))+E(f187(x91621,x91622,f333(f333(f333(f71(x91621,f879(x91622)),x91623),x91624),f333(f240(x91622),x91625)),x91626),f333(f333(f333(f71(x91621,f879(x91622)),f187(x91621,x91622,x91623,x91626)),x91624),f333(f240(x91622),x91625))) % 183.16/183.18 [9261]P23(f333(f333(f335(f881(x92611,x92611)),f333(f333(f268(x92611,x92611),f333(x92612,x92613)),f333(x92612,x92614))),x92615))+~P23(f333(f333(f335(f881(x92616,x92616)),f333(f333(f268(x92616,x92616),x92613),x92614)),f333(f333(f289(x92611,x92616),x92615),x92612))) % 183.16/183.18 [9281]~P23(f333(f333(f335(f881(x92814,x92814)),f333(f333(f268(x92814,x92814),f333(x92816,x92812)),f333(x92816,x92813))),x92815))+P23(f333(f333(f335(f881(x92811,x92811)),f333(f333(f268(x92811,x92811),x92812),x92813)),f333(f333(f289(x92814,x92811),x92815),x92816))) % 183.16/183.18 [9925]E(f333(f333(f268(x99251,x99252),f663(x99253,x99254,x99255,x99256,x99252,x99251)),f664(x99253,x99254,x99255,x99256,x99252,x99251)),x99256)+~P23(f333(f333(f335(f881(x99251,x99252)),x99256),f333(f333(f290(x99251,x99255,x99252),x99254),x99253))) % 183.16/183.18 [10126]~P23(f333(f333(f335(f881(x101261,x101266)),x101265),f333(f333(f290(x101261,x101262,x101266),x101264),x101263)))+P23(f333(f333(f335(f881(x101261,x101262)),f333(f333(f268(x101261,x101262),f663(x101263,x101264,x101262,x101265,x101266,x101261)),f665(x101263,x101264,x101262,x101265,x101266,x101261))),x101264)) % 183.16/183.18 [10127]~P23(f333(f333(f335(f881(x101276,x101272)),x101275),f333(f333(f290(x101276,x101271,x101272),x101274),x101273)))+P23(f333(f333(f335(f881(x101271,x101272)),f333(f333(f268(x101271,x101272),f665(x101273,x101274,x101271,x101275,x101272,x101276)),f664(x101273,x101274,x101271,x101275,x101272,x101276))),x101273)) % 183.16/183.18 [6160]~E(x61606,x61604)+E(f333(f333(f333(f333(f71(x61601,x61602),x61603),x61604),x61605),x61606),x61605) % 183.16/183.18 [6210]E(x62101,x62102)+E(f333(f333(f333(f333(f71(x62103,x62104),x62105),x62102),x62106),x62101),f333(x62105,x62101)) % 183.16/183.18 [7738]~P26(x77382)+E(f333(f333(f41(x77381,x77382),x77383),f333(f333(f7(x77381,x77384,x77382),x77385),x77386)),f333(f333(f333(f41(x77381,f882(x77384,x77382)),x77383),x77385),x77386)) % 183.16/183.18 [7739]~P26(x77392)+E(f333(f333(f42(x77391,x77392),x77393),f333(f333(f7(x77391,x77394,x77392),x77395),x77396)),f333(f333(f333(f42(x77391,f882(x77394,x77392)),x77393),x77395),x77396)) % 183.16/183.18 [8530]E(f333(f333(f41(x85301,f882(x85302,a870)),x85303),f333(f333(f8(f882(x85302,a870),f882(x85302,a870),x85301),f333(f311(x85302),x85304)),x85305)),f333(f333(f311(x85302),x85304),f333(f333(f41(x85301,f882(x85302,a870)),x85303),x85305)))+~P23(f333(f333(f335(x85301),x85306),x85303)) % 183.16/183.18 [8964]~P26(x89642)+E(f333(f333(f41(x89641,x89642),x89643),f333(f333(f8(f882(x89644,x89642),x89642,x89641),f333(f41(x89644,x89642),x89645)),f333(f7(x89644,x89641,x89642),x89646))),f333(f333(f41(x89644,x89642),x89645),f333(f333(f8(f882(x89641,x89642),x89642,x89644),f333(f41(x89641,x89642),x89643)),x89646))) % 183.16/183.18 [8965]~P26(x89652)+E(f333(f333(f42(x89651,x89652),x89653),f333(f333(f8(f882(x89654,x89652),x89652,x89651),f333(f42(x89654,x89652),x89655)),f333(f7(x89654,x89651,x89652),x89656))),f333(f333(f42(x89654,x89652),x89655),f333(f333(f8(f882(x89651,x89652),x89652,x89654),f333(f42(x89651,x89652),x89653)),x89656))) % 183.16/183.18 [9171]P23(f333(f333(f335(x91711),x91712),f333(f174(x91711),x91713)))+~P23(f333(f333(f335(f881(x91714,x91711)),f333(f333(f268(x91714,x91711),x91715),x91712)),f333(f174(f881(x91714,x91711)),f333(f333(f184(x91714,x91711),x91716),x91713)))) % 183.16/183.18 [9172]P23(f333(f333(f335(x91721),x91722),f333(f174(x91721),x91723)))+~P23(f333(f333(f335(f881(x91721,x91724)),f333(f333(f268(x91721,x91724),x91722),x91725)),f333(f174(f881(x91721,x91724)),f333(f333(f184(x91721,x91724),x91723),x91726)))) % 183.16/183.18 [9275]P23(f333(f333(f247(f882(x92751,a870)),f333(f287(x92752,x92751,x92753),x92754)),x92755))+~P23(f333(f333(f247(f882(f881(x92752,x92751),a870)),x92753),f333(f333(f270(x92752,x92751),x92756),f333(f16(f882(x92751,a870),x92752),x92755)))) % 183.16/183.18 [9466]P23(f333(f333(f335(f881(f876(x94661),f876(x94661))),f333(f333(f268(f876(x94661),f876(x94661)),f333(f333(f152(x94661),x94662),x94663)),f333(f333(f152(x94661),x94664),x94665))),f148(x94661,x94666)))+~P23(f333(f333(f335(f881(x94661,x94661)),f333(f333(f268(x94661,x94661),x94662),x94664)),x94666)) % 183.16/183.18 [9921]E(f333(f333(f268(x99211,x99212),f608(x99213,x99214,x99215,x99212,x99211,x99216)),f611(x99213,x99214,x99215,x99212,x99211,x99216)),x99216)+P23(f333(f333(f335(x99215),x99214),f333(f333(f272(x99211,x99212,f882(x99215,a870)),x99213),x99216))) % 183.16/183.18 [9927]E(f333(f333(f268(x99271,x99272),f609(x99273,x99274,x99272,x99271,x99275,x99276)),f610(x99273,x99274,x99272,x99271,x99275,x99276)),x99273)+~P23(f333(f333(f335(x99276),x99275),f333(f333(f272(x99271,x99272,f882(x99276,a870)),x99274),x99273))) % 183.16/183.18 [10085]P23(f333(f333(f335(x100851),x100852),f333(f333(x100853,f609(x100854,x100853,x100855,x100856,x100852,x100851)),f610(x100854,x100853,x100855,x100856,x100852,x100851))))+~P23(f333(f333(f335(x100851),x100852),f333(f333(f272(x100856,x100855,f882(x100851,a870)),x100853),x100854))) % 183.16/183.18 [10104]~P23(f333(f333(f335(x101041),x101042),f333(f333(x101045,f608(x101045,x101042,x101041,x101044,x101043,x101046)),f611(x101045,x101042,x101041,x101044,x101043,x101046))))+P23(f333(f333(f335(x101041),x101042),f333(f333(f272(x101043,x101044,f882(x101041,a870)),x101045),x101046))) % 183.16/183.18 [7861]P23(f333(f333(f335(x78611),x78614),x78616))+E(f190(x78611,x78612,f333(f333(f333(f71(x78611,f879(x78612)),x78613),x78614),x78615),x78616),f190(x78611,x78612,x78613,x78616)) % 183.16/183.18 [7938]P23(f333(f333(f335(x79381),x79384),x79386))+E(f333(f312(x79381,x79382,f333(f333(f333(f71(x79381,x79382),x79383),x79384),x79385)),x79386),f333(f312(x79381,x79382,x79383),x79386)) % 183.16/183.18 [7965]P23(f333(f333(f335(x79651),x79654),f333(f174(x79651),x79656)))+E(f333(f333(f155(x79651,x79652),f333(f333(f333(f71(x79651,x79652),x79653),x79654),x79655)),x79656),f333(f333(f155(x79651,x79652),x79653),x79656)) % 183.16/183.18 [8427]E(x84271,x84272)+E(f333(f333(f160(x84273,f333(f333(f160(x84273,x84274),x84271),x84275)),x84272),x84276),f333(f333(f160(x84273,f333(f333(f160(x84273,x84274),x84272),x84276)),x84271),x84275)) % 183.16/183.18 [8970]~P23(f333(f333(f335(x89703),x89706),x89705))+E(f333(f333(f311(x89701),x89702),f333(f312(x89703,x89701,x89704),f333(f333(f22(f882(x89703,a870)),x89705),f333(f333(f311(x89703),x89706),f196(f882(x89703,a870)))))),f333(f312(x89703,x89701,f333(f333(f333(f71(x89703,x89701),x89704),x89706),x89702)),x89705)) % 183.16/183.18 [9738]E(f189(x97381,x97382,x97383,f333(f333(f135(x97381),x97384),f333(f333(f152(x97381),x97385),f116(x97381))),x97386),f333(f333(f333(f71(x97381,f879(x97382)),f189(x97381,x97382,x97383,x97384,x97386)),x97385),f333(f240(x97382),f333(f333(f166(x97382),x97386),f333(f197(f876(x97381)),x97384)))))+~P23(f333(f333(f248(a875),f333(f197(f876(x97381)),x97384)),f333(f197(f876(x97382)),x97386))) % 183.16/183.18 [8748]~E(x87483,x87486)+E(f333(f333(f180(x87481,x87482),f333(f333(f152(f881(x87481,x87482)),f333(f333(f268(x87481,x87482),x87483),x87484)),x87485)),x87486),f333(f240(x87482),x87484)) % 183.16/183.18 [8775]E(x87751,x87752)+E(f333(f333(f180(x87753,x87754),f333(f333(f152(f881(x87753,x87754)),f333(f333(f268(x87753,x87754),x87751),x87755)),x87756)),x87752),f333(f333(f180(x87753,x87754),x87756),x87752)) % 183.16/183.18 [9046]~P23(f333(f333(x90464,x90465),x90466))+P23(f333(f333(f333(f333(f113(f882(x90461,f882(x90462,a870))),x90463),x90464),x90465),x90466)) % 183.16/183.18 [9048]~P23(f333(f333(x90483,x90485),x90486))+P23(f333(f333(f333(f333(f113(f882(x90481,f882(x90482,a870))),x90483),x90484),x90485),x90486)) % 183.16/183.18 [9332]P23(f333(f333(x93321,x93322),x93323))+~P23(f333(f333(f333(f333(f104(f882(x93324,f882(x93325,a870))),x93326),x93321),x93322),x93323)) % 183.16/183.18 [9333]P23(f333(f333(x93331,x93332),x93333))+~P23(f333(f333(f333(f333(f104(f882(x93334,f882(x93335,a870))),x93331),x93336),x93332),x93333)) % 183.16/183.18 [9760]~P66(x97602)+E(f333(f333(f6(x97601,x97602),f333(f333(f7(x97601,f882(x97603,a870),x97602),f333(f333(f8(f882(x97603,x97602),f882(f882(x97603,a870),x97602),x97601),f6(x97603,x97602)),x97604)),x97605)),x97606),f333(f333(f6(f881(x97601,x97603),x97602),f333(f272(x97601,x97603,x97602),x97604)),f333(f333(f270(x97601,x97603),x97606),f333(f16(f882(x97603,a870),x97601),x97605)))) % 183.16/183.18 [9761]~P73(x97612)+E(f333(f333(f9(x97611,x97612),f333(f333(f7(x97611,f882(x97613,a870),x97612),f333(f333(f8(f882(x97613,x97612),f882(f882(x97613,a870),x97612),x97611),f9(x97613,x97612)),x97614)),x97615)),x97616),f333(f333(f9(f881(x97611,x97613),x97612),f333(f272(x97611,x97613,x97612),x97614)),f333(f333(f270(x97611,x97613),x97616),f333(f16(f882(x97613,a870),x97611),x97615)))) % 183.16/183.18 [9904]~P66(x99042)+E(f333(f333(f6(x99041,x99042),f333(f333(f7(x99041,f882(x99043,a870),x99042),f333(f333(f8(f882(x99043,x99042),f882(f882(x99043,a870),x99042),x99041),f6(x99043,x99042)),f333(f7(x99043,x99041,x99042),x99044))),x99045)),x99046),f333(f333(f6(x99043,x99042),f333(f333(f7(x99043,f882(x99041,a870),x99042),f333(f333(f8(f882(x99041,x99042),f882(f882(x99041,a870),x99042),x99043),f6(x99041,x99042)),x99044)),x99046)),x99045)) % 183.16/183.18 [9602]~P23(f333(f333(f335(x96021),x96025),x96024))+E(f333(f333(f333(f71(x96021,f879(x96022)),f190(x96021,x96022,x96023,f333(f333(f22(f882(x96021,a870)),x96024),f333(f333(f311(x96021),x96025),f196(f882(x96021,a870)))))),x96025),x96026),f190(x96021,x96022,f333(f333(f333(f71(x96021,f879(x96022)),x96023),x96025),x96026),x96024)) % 183.16/183.18 [10182]~P23(f333(f333(f335(f881(x101821,x101822)),f333(f333(f268(x101821,x101822),x101825),x101826)),f333(f333(f113(f882(f881(x101821,x101822),a870)),x101823),x101824)))+P23(f333(f333(f333(f333(f113(f882(x101821,f882(x101822,a870))),f333(f333(f7(x101821,f882(f881(x101821,x101822),a870),f882(x101822,a870)),f333(f333(f8(f882(x101822,f882(f882(f881(x101821,x101822),a870),a870)),f882(f882(f881(x101821,x101822),a870),f882(x101822,a870)),x101821),f7(x101822,f882(f881(x101821,x101822),a870),a870)),f333(f333(f8(f882(x101822,f881(x101821,x101822)),f882(x101822,f882(f882(f881(x101821,x101822),a870),a870)),x101821),f333(f8(f881(x101821,x101822),f882(f882(f881(x101821,x101822),a870),a870),x101822),f335(f881(x101821,x101822)))),f268(x101821,x101822)))),x101823)),f333(f333(f7(x101821,f882(f881(x101821,x101822),a870),f882(x101822,a870)),f333(f333(f8(f882(x101822,f882(f882(f881(x101821,x101822),a870),a870)),f882(f882(f881(x101821,x101822),a870),f882(x101822,a870)),x101821),f7(x101822,f882(f881(x101821,x101822),a870),a870)),f333(f333(f8(f882(x101822,f881(x101821,x101822)),f882(x101822,f882(f882(f881(x101821,x101822),a870),a870)),x101821),f333(f8(f881(x101821,x101822),f882(f882(f881(x101821,x101822),a870),a870),x101822),f335(f881(x101821,x101822)))),f268(x101821,x101822)))),x101824)),x101825),x101826)) % 183.16/183.18 [10183]~P23(f333(f333(f335(f881(x101831,x101832)),f333(f333(f268(x101831,x101832),x101835),x101836)),f333(f333(f104(f882(f881(x101831,x101832),a870)),x101833),x101834)))+P23(f333(f333(f333(f333(f104(f882(x101831,f882(x101832,a870))),f333(f333(f7(x101831,f882(f881(x101831,x101832),a870),f882(x101832,a870)),f333(f333(f8(f882(x101832,f882(f882(f881(x101831,x101832),a870),a870)),f882(f882(f881(x101831,x101832),a870),f882(x101832,a870)),x101831),f7(x101832,f882(f881(x101831,x101832),a870),a870)),f333(f333(f8(f882(x101832,f881(x101831,x101832)),f882(x101832,f882(f882(f881(x101831,x101832),a870),a870)),x101831),f333(f8(f881(x101831,x101832),f882(f882(f881(x101831,x101832),a870),a870),x101832),f335(f881(x101831,x101832)))),f268(x101831,x101832)))),x101833)),f333(f333(f7(x101831,f882(f881(x101831,x101832),a870),f882(x101832,a870)),f333(f333(f8(f882(x101832,f882(f882(f881(x101831,x101832),a870),a870)),f882(f882(f881(x101831,x101832),a870),f882(x101832,a870)),x101831),f7(x101832,f882(f881(x101831,x101832),a870),a870)),f333(f333(f8(f882(x101832,f881(x101831,x101832)),f882(x101832,f882(f882(f881(x101831,x101832),a870),a870)),x101831),f333(f8(f881(x101831,x101832),f882(f882(f881(x101831,x101832),a870),a870),x101832),f335(f881(x101831,x101832)))),f268(x101831,x101832)))),x101834)),x101835),x101836)) % 183.16/183.18 [10189]P23(f333(f333(f335(f881(x101891,x101892)),f333(f333(f268(x101891,x101892),x101893),x101894)),f333(f333(f113(f882(f881(x101891,x101892),a870)),x101895),x101896)))+~P23(f333(f333(f333(f333(f113(f882(x101891,f882(x101892,a870))),f333(f333(f7(x101891,f882(f881(x101891,x101892),a870),f882(x101892,a870)),f333(f333(f8(f882(x101892,f882(f882(f881(x101891,x101892),a870),a870)),f882(f882(f881(x101891,x101892),a870),f882(x101892,a870)),x101891),f7(x101892,f882(f881(x101891,x101892),a870),a870)),f333(f333(f8(f882(x101892,f881(x101891,x101892)),f882(x101892,f882(f882(f881(x101891,x101892),a870),a870)),x101891),f333(f8(f881(x101891,x101892),f882(f882(f881(x101891,x101892),a870),a870),x101892),f335(f881(x101891,x101892)))),f268(x101891,x101892)))),x101895)),f333(f333(f7(x101891,f882(f881(x101891,x101892),a870),f882(x101892,a870)),f333(f333(f8(f882(x101892,f882(f882(f881(x101891,x101892),a870),a870)),f882(f882(f881(x101891,x101892),a870),f882(x101892,a870)),x101891),f7(x101892,f882(f881(x101891,x101892),a870),a870)),f333(f333(f8(f882(x101892,f881(x101891,x101892)),f882(x101892,f882(f882(f881(x101891,x101892),a870),a870)),x101891),f333(f8(f881(x101891,x101892),f882(f882(f881(x101891,x101892),a870),a870),x101892),f335(f881(x101891,x101892)))),f268(x101891,x101892)))),x101896)),x101893),x101894)) % 183.16/183.18 [10190]P23(f333(f333(f335(f881(x101901,x101902)),f333(f333(f268(x101901,x101902),x101903),x101904)),f333(f333(f104(f882(f881(x101901,x101902),a870)),x101905),x101906)))+~P23(f333(f333(f333(f333(f104(f882(x101901,f882(x101902,a870))),f333(f333(f7(x101901,f882(f881(x101901,x101902),a870),f882(x101902,a870)),f333(f333(f8(f882(x101902,f882(f882(f881(x101901,x101902),a870),a870)),f882(f882(f881(x101901,x101902),a870),f882(x101902,a870)),x101901),f7(x101902,f882(f881(x101901,x101902),a870),a870)),f333(f333(f8(f882(x101902,f881(x101901,x101902)),f882(x101902,f882(f882(f881(x101901,x101902),a870),a870)),x101901),f333(f8(f881(x101901,x101902),f882(f882(f881(x101901,x101902),a870),a870),x101902),f335(f881(x101901,x101902)))),f268(x101901,x101902)))),x101905)),f333(f333(f7(x101901,f882(f881(x101901,x101902),a870),f882(x101902,a870)),f333(f333(f8(f882(x101902,f882(f882(f881(x101901,x101902),a870),a870)),f882(f882(f881(x101901,x101902),a870),f882(x101902,a870)),x101901),f7(x101902,f882(f881(x101901,x101902),a870),a870)),f333(f333(f8(f882(x101902,f881(x101901,x101902)),f882(x101902,f882(f882(f881(x101901,x101902),a870),a870)),x101901),f333(f8(f881(x101901,x101902),f882(f882(f881(x101901,x101902),a870),a870),x101902),f335(f881(x101901,x101902)))),f268(x101901,x101902)))),x101906)),x101903),x101904)) % 183.16/183.18 [10176]~P23(f333(f333(f335(f881(x101762,x101763)),f333(f333(f268(x101762,x101763),x101765),x101766)),f333(f333(f41(x101761,f882(f881(x101762,x101763),a870)),f256(f882(x101761,a870))),x101764)))+P23(f333(f333(f333(f333(f41(x101761,f882(x101762,f882(x101763,a870))),f256(f882(x101761,a870))),f333(f333(f8(f882(f881(x101762,x101763),a870),f882(x101762,f882(x101763,a870)),x101761),f333(f7(x101762,f882(f881(x101762,x101763),a870),f882(x101763,a870)),f333(f333(f8(f882(x101763,f882(f882(f881(x101762,x101763),a870),a870)),f882(f882(f881(x101762,x101763),a870),f882(x101763,a870)),x101762),f7(x101763,f882(f881(x101762,x101763),a870),a870)),f333(f333(f8(f882(x101763,f881(x101762,x101763)),f882(x101763,f882(f882(f881(x101762,x101763),a870),a870)),x101762),f333(f8(f881(x101762,x101763),f882(f882(f881(x101762,x101763),a870),a870),x101763),f335(f881(x101762,x101763)))),f268(x101762,x101763))))),x101764)),x101765),x101766)) % 183.16/183.18 [10177]~P23(f333(f333(f335(f881(x101772,x101773)),f333(f333(f268(x101772,x101773),x101775),x101776)),f333(f333(f42(x101771,f882(f881(x101772,x101773),a870)),f256(f882(x101771,a870))),x101774)))+P23(f333(f333(f333(f333(f42(x101771,f882(x101772,f882(x101773,a870))),f256(f882(x101771,a870))),f333(f333(f8(f882(f881(x101772,x101773),a870),f882(x101772,f882(x101773,a870)),x101771),f333(f7(x101772,f882(f881(x101772,x101773),a870),f882(x101773,a870)),f333(f333(f8(f882(x101773,f882(f882(f881(x101772,x101773),a870),a870)),f882(f882(f881(x101772,x101773),a870),f882(x101773,a870)),x101772),f7(x101773,f882(f881(x101772,x101773),a870),a870)),f333(f333(f8(f882(x101773,f881(x101772,x101773)),f882(x101773,f882(f882(f881(x101772,x101773),a870),a870)),x101772),f333(f8(f881(x101772,x101773),f882(f882(f881(x101772,x101773),a870),a870),x101773),f335(f881(x101772,x101773)))),f268(x101772,x101773))))),x101774)),x101775),x101776)) % 183.16/183.18 [10186]P23(f333(f333(f335(f881(x101861,x101862)),f333(f333(f268(x101861,x101862),x101863),x101864)),f333(f333(f41(x101865,f882(f881(x101861,x101862),a870)),f256(f882(x101865,a870))),x101866)))+~P23(f333(f333(f333(f333(f41(x101865,f882(x101861,f882(x101862,a870))),f256(f882(x101865,a870))),f333(f333(f8(f882(f881(x101861,x101862),a870),f882(x101861,f882(x101862,a870)),x101865),f333(f7(x101861,f882(f881(x101861,x101862),a870),f882(x101862,a870)),f333(f333(f8(f882(x101862,f882(f882(f881(x101861,x101862),a870),a870)),f882(f882(f881(x101861,x101862),a870),f882(x101862,a870)),x101861),f7(x101862,f882(f881(x101861,x101862),a870),a870)),f333(f333(f8(f882(x101862,f881(x101861,x101862)),f882(x101862,f882(f882(f881(x101861,x101862),a870),a870)),x101861),f333(f8(f881(x101861,x101862),f882(f882(f881(x101861,x101862),a870),a870),x101862),f335(f881(x101861,x101862)))),f268(x101861,x101862))))),x101866)),x101863),x101864)) % 183.16/183.18 [10187]P23(f333(f333(f335(f881(x101871,x101872)),f333(f333(f268(x101871,x101872),x101873),x101874)),f333(f333(f42(x101875,f882(f881(x101871,x101872),a870)),f256(f882(x101875,a870))),x101876)))+~P23(f333(f333(f333(f333(f42(x101875,f882(x101871,f882(x101872,a870))),f256(f882(x101875,a870))),f333(f333(f8(f882(f881(x101871,x101872),a870),f882(x101871,f882(x101872,a870)),x101875),f333(f7(x101871,f882(f881(x101871,x101872),a870),f882(x101872,a870)),f333(f333(f8(f882(x101872,f882(f882(f881(x101871,x101872),a870),a870)),f882(f882(f881(x101871,x101872),a870),f882(x101872,a870)),x101871),f7(x101872,f882(f881(x101871,x101872),a870),a870)),f333(f333(f8(f882(x101872,f881(x101871,x101872)),f882(x101872,f882(f882(f881(x101871,x101872),a870),a870)),x101871),f333(f8(f881(x101871,x101872),f882(f882(f881(x101871,x101872),a870),a870),x101872),f335(f881(x101871,x101872)))),f268(x101871,x101872))))),x101876)),x101873),x101874)) % 183.16/183.18 [7410]E(f333(x74101,f333(x74102,x74103)),f333(x74104,x74103))+~E(f333(f72(x74105,x74106,x74107,x74101),x74102),x74104) % 183.16/183.18 [9632]~P17(x96323,x96324,x96321,x96325,x96326,x96327)+E(f333(f333(x96321,x96322),x96322),x96322) % 183.16/183.18 [10001]~E(f333(f242(f879(x100017),x100011,f209(x100017),x100015),f333(x100014,x100013)),f333(f240(x100017),x100012))+E(f333(f240(x100011),f768(x100012,x100013,x100014,x100015,x100016,x100017,x100011)),f333(x100014,x100013)) % 183.16/183.18 [10002]~E(f333(f242(f879(x100026),x100027,f209(x100026),x100021),f333(x100024,x100023)),f333(f240(x100026),x100022))+E(f333(x100021,f768(x100022,x100023,x100024,x100021,x100025,x100026,x100027)),f333(f240(x100026),x100022)) % 183.16/183.18 [5988]~E(f333(f333(f155(x59881,x59885),x59886),x59882),f333(f333(f155(x59883,x59885),x59887),x59884))+E(f333(f197(f876(x59881)),x59882),f333(f197(f876(x59883)),x59884)) % 183.16/183.18 [7488]E(x74881,x74882)+~E(f333(f333(f333(f71(x74883,f879(x74884)),x74885),x74886),f333(f240(x74884),x74881)),f333(f333(f333(f71(x74883,f879(x74884)),x74887),x74886),f333(f240(x74884),x74882))) % 183.16/183.18 [8466]E(f333(x84661,f333(x84662,x84663)),f333(x84664,x84663))+~E(f333(f72(x84665,x84666,x84667,x84661),x84662),f333(f72(x84666,x84666,x84667,f33(x84666)),x84664)) % 183.16/183.18 [8794]~P34(x87944,x87945,x87941,f333(f333(f152(x87944),x87942),x87946),f333(f333(f152(x87945),x87943),x87947))+P23(f333(f333(x87941,x87942),x87943)) % 183.16/183.18 [9178]P34(x91781,x91782,x91783,x91784,x91785)+~P34(x91781,x91782,x91783,f333(f333(f152(x91781),x91786),x91784),f333(f333(f152(x91782),x91787),x91785)) % 183.16/183.18 [9799]P23(f333(f333(x97991,x97992),f562(x97993,x97992,x97994,x97991)))+~P23(f333(f333(f269(x97995,x97996,x97997,x97991,x97994),x97992),x97993)) % 183.16/183.18 [9820]P23(f333(f333(x98201,f562(x98202,x98203,x98201,x98204)),x98202))+~P23(f333(f333(f269(x98205,x98206,x98207,x98204,x98201),x98203),x98202)) % 183.16/183.18 [6032]E(x60321,x60322)+~E(f333(f333(f333(f91(x60323),x60324),x60325),x60321),f333(f333(f333(f91(x60323),x60326),x60327),x60322)) % 183.16/183.18 [6033]E(x60331,x60332)+~E(f333(f333(f333(f91(x60333),x60334),x60331),x60335),f333(f333(f333(f91(x60333),x60336),x60332),x60337)) % 183.16/183.18 [6034]E(x60341,x60342)+~E(f333(f333(f333(f91(x60343),x60341),x60344),x60345),f333(f333(f333(f91(x60343),x60342),x60346),x60347)) % 183.16/183.18 [8915]~P15(x89156,x89151,x89153,x89157)+E(f333(f72(x89151,x89151,x89152,f333(x89153,x89154)),f333(f72(x89151,x89151,x89152,f333(x89153,x89154)),x89155)),f333(f72(x89151,x89151,x89152,f333(x89153,x89154)),x89155)) % 183.16/183.18 [9284]~P34(x92843,x92842,x92844,f333(f333(f155(x92841,x92843),x92845),x92846),x92847)+P34(x92841,x92842,f333(f333(f8(x92843,f882(x92842,a870),x92841),x92844),x92845),x92846,x92847) % 183.16/183.18 [9307]P34(x93071,x93072,x93073,f333(f333(f155(x93074,x93071),x93075),x93076),x93077)+~P34(x93074,x93072,f333(f333(f8(x93071,f882(x93072,a870),x93074),x93073),x93075),x93076,x93077) % 183.16/183.18 [9718]E(f189(x97181,x97182,f333(f333(f333(f71(x97181,f879(x97182)),x97183),x97184),f333(f240(x97182),x97185)),x97186,x97187),f333(f333(f333(f71(x97181,f879(x97182)),f189(x97181,x97182,x97183,x97186,x97187)),x97184),f333(f240(x97182),x97185)))+P23(f333(f333(f335(x97181),x97184),f333(f174(x97181),x97186))) % 183.16/183.18 [8914]~P23(f333(f333(f335(x89141),x89142),f333(f333(x89145,x89146),x89147)))+P23(f333(f333(f335(x89141),x89142),f333(f333(f272(x89143,x89144,f882(x89141,a870)),x89145),f333(f333(f268(x89143,x89144),x89146),x89147)))) % 183.16/183.18 [9204]P23(f333(f333(f333(x92041,x92042),x92043),x92044))+~P23(f333(f333(f333(f272(x92045,x92046,f882(x92047,a870)),x92041),f333(f333(f268(x92045,x92046),x92042),x92043)),x92044)) % 183.16/183.18 [9346]P23(f333(f333(f335(x93461),f333(f333(x93462,x93463),x93464)),f333(f312(f881(x93465,x93466),x93461,f333(f272(x93465,x93466,x93461),x93462)),x93467)))+~P23(f333(f333(f335(f881(x93465,x93466)),f333(f333(f268(x93465,x93466),x93463),x93464)),x93467)) % 183.16/183.18 [9679]P23(f333(f333(f335(f881(f876(x96791),f876(x96791))),f333(f333(f268(f876(x96791),f876(x96791)),f333(f333(f135(x96791),x96792),f333(f333(f152(x96791),x96793),x96794))),f333(f333(f135(x96791),x96792),f333(f333(f152(x96791),x96795),x96796)))),f148(x96791,x96797)))+~P23(f333(f333(f335(f881(x96791,x96791)),f333(f333(f268(x96791,x96791),x96793),x96795)),x96797)) % 183.16/183.18 [9740]~P34(x97401,x97403,x97404,x97406,f333(f333(f155(x97402,x97403),x97405),x97407))+P34(x97401,x97402,f333(f333(f7(x97401,f882(x97402,x97403),f882(x97402,a870)),f333(f333(f8(f882(x97403,a870),f882(f882(x97402,x97403),f882(x97402,a870)),x97401),f8(x97403,a870,x97402)),x97404)),x97405),x97406,x97407) % 183.16/183.18 [9824]P34(x98241,x98242,x98243,x98244,f333(f333(f155(x98245,x98242),x98246),x98247))+~P34(x98241,x98245,f333(f333(f7(x98241,f882(x98245,x98242),f882(x98245,a870)),f333(f333(f8(f882(x98242,a870),f882(f882(x98245,x98242),f882(x98245,a870)),x98241),f8(x98242,a870,x98245)),x98243)),x98246),x98244,x98247) % 183.16/183.18 [9196]E(x91961,x91962)+E(f333(f333(f333(f71(x91963,x91964),f333(f333(f333(f71(x91963,x91964),x91965),x91961),x91966)),x91962),x91967),f333(f333(f333(f71(x91963,x91964),f333(f333(f333(f71(x91963,x91964),x91965),x91962),x91967)),x91961),x91966)) % 183.16/183.18 [9440]E(f189(x94401,x94402,f333(f333(f333(f71(x94401,f879(x94402)),x94403),x94404),f333(f240(x94402),x94405)),x94406,x94407),f189(x94401,x94402,x94403,x94406,x94407))+~P23(f333(f333(f335(x94401),x94404),f333(f174(x94401),f333(f333(f177(x94401),f333(f197(f876(x94402)),x94407)),x94406)))) % 183.16/183.18 [9751]E(f189(x97511,x97512,f333(f333(f333(f71(x97511,f879(x97512)),x97513),x97514),f333(f240(x97512),x97515)),x97516,x97517),f333(f333(f333(f71(x97511,f879(x97512)),f189(x97511,x97512,x97513,x97516,x97517)),x97514),f333(f240(x97512),x97515)))+P23(f333(f333(f335(x97511),x97514),f333(f174(x97511),f333(f333(f177(x97511),f333(f197(f876(x97512)),x97517)),x97516)))) % 183.16/183.18 [10115]P23(f333(f333(f335(x101151),f845(x101152,x101153,x101154,x101155,x101156,x101157,x101151)),x101155))+P23(f333(f333(f333(f333(f42(x101151,f882(x101157,f882(x101156,a870))),x101155),x101154),x101153),x101152)) % 183.16/183.18 [10116]P23(f333(f333(f335(x101161),f841(x101162,x101163,x101164,x101165,x101166,x101167,x101161)),x101165))+~P23(f333(f333(f333(f333(f41(x101161,f882(x101167,f882(x101166,a870))),x101165),x101164),x101163),x101162)) % 183.16/183.18 [10141]P23(f333(f333(f333(x101411,f841(x101412,x101413,x101411,x101414,x101415,x101416,x101417)),x101413),x101412))+~P23(f333(f333(f333(f333(f41(x101417,f882(x101416,f882(x101415,a870))),x101414),x101411),x101413),x101412)) % 183.16/183.18 [10158]~P23(f333(f333(f333(x101585,f845(x101587,x101586,x101585,x101584,x101583,x101582,x101581)),x101586),x101587))+P23(f333(f333(f333(f333(f42(x101581,f882(x101582,f882(x101583,a870))),x101584),x101585),x101586),x101587)) % 183.16/183.18 [10175]~P23(f333(f333(f335(f881(x101751,x101753)),f333(f333(f268(x101751,x101753),x101756),x101757)),f333(f333(f290(x101751,x101752,x101753),x101754),x101755)))+P23(f333(f333(f269(x101751,x101752,x101753,f333(f333(f7(x101751,f882(f881(x101751,x101752),a870),f882(x101752,a870)),f333(f333(f8(f882(x101752,f882(f882(f881(x101751,x101752),a870),a870)),f882(f882(f881(x101751,x101752),a870),f882(x101752,a870)),x101751),f7(x101752,f882(f881(x101751,x101752),a870),a870)),f333(f333(f8(f882(x101752,f881(x101751,x101752)),f882(x101752,f882(f882(f881(x101751,x101752),a870),a870)),x101751),f333(f8(f881(x101751,x101752),f882(f882(f881(x101751,x101752),a870),a870),x101752),f335(f881(x101751,x101752)))),f268(x101751,x101752)))),x101754),f333(f333(f7(x101752,f882(f881(x101752,x101753),a870),f882(x101753,a870)),f333(f333(f8(f882(x101753,f882(f882(f881(x101752,x101753),a870),a870)),f882(f882(f881(x101752,x101753),a870),f882(x101753,a870)),x101752),f7(x101753,f882(f881(x101752,x101753),a870),a870)),f333(f333(f8(f882(x101753,f881(x101752,x101753)),f882(x101753,f882(f882(f881(x101752,x101753),a870),a870)),x101752),f333(f8(f881(x101752,x101753),f882(f882(f881(x101752,x101753),a870),a870),x101753),f335(f881(x101752,x101753)))),f268(x101752,x101753)))),x101755)),x101756),x101757)) % 183.16/183.18 [10185]P23(f333(f333(f335(f881(x101851,x101852)),f333(f333(f268(x101851,x101852),x101853),x101854)),f333(f333(f290(x101851,x101855,x101852),x101856),x101857)))+~P23(f333(f333(f269(x101851,x101855,x101852,f333(f333(f7(x101851,f882(f881(x101851,x101855),a870),f882(x101855,a870)),f333(f333(f8(f882(x101855,f882(f882(f881(x101851,x101855),a870),a870)),f882(f882(f881(x101851,x101855),a870),f882(x101855,a870)),x101851),f7(x101855,f882(f881(x101851,x101855),a870),a870)),f333(f333(f8(f882(x101855,f881(x101851,x101855)),f882(x101855,f882(f882(f881(x101851,x101855),a870),a870)),x101851),f333(f8(f881(x101851,x101855),f882(f882(f881(x101851,x101855),a870),a870),x101855),f335(f881(x101851,x101855)))),f268(x101851,x101855)))),x101856),f333(f333(f7(x101855,f882(f881(x101855,x101852),a870),f882(x101852,a870)),f333(f333(f8(f882(x101852,f882(f882(f881(x101855,x101852),a870),a870)),f882(f882(f881(x101855,x101852),a870),f882(x101852,a870)),x101855),f7(x101852,f882(f881(x101855,x101852),a870),a870)),f333(f333(f8(f882(x101852,f881(x101855,x101852)),f882(x101852,f882(f882(f881(x101855,x101852),a870),a870)),x101855),f333(f8(f881(x101855,x101852),f882(f882(f881(x101855,x101852),a870),a870),x101852),f335(f881(x101855,x101852)))),f268(x101855,x101852)))),x101857)),x101853),x101854)) % 183.16/183.18 [10125]~P134(x101252)+E(f333(f333(f6(x101251,x101252),f333(f333(f7(x101251,f882(x101253,a870),x101252),f333(f333(f8(f882(x101253,x101252),f882(f882(x101253,a870),x101252),x101251),f6(x101253,x101252)),f333(f333(f7(x101251,f882(x101253,x101252),f882(x101253,x101252)),f333(f333(f8(f882(x101252,x101252),f882(f882(x101253,x101252),f882(x101253,x101252)),x101251),f8(x101252,x101252,x101253)),f333(f333(f8(x101252,f882(x101252,x101252),x101251),f80(x101252)),x101254))),x101255))),x101256)),x101257),f333(f333(f80(x101252),f333(f333(f6(x101251,x101252),x101254),x101257)),f333(f333(f6(x101253,x101252),x101255),x101256))) % 183.16/183.18 [9237]~P14(x92377,x92371,x92373,x92378)+E(f333(f72(x92371,x92371,x92372,f333(x92373,x92374)),f333(f72(x92371,x92371,x92372,f333(x92373,x92375)),x92376)),f333(f72(x92371,x92371,x92372,f333(x92373,x92375)),f333(f72(x92371,x92371,x92372,f333(x92373,x92374)),x92376))) % 183.16/183.18 [10180]E(f333(f333(f268(x101801,x101802),f333(x101803,f586(x101804,x101805,x101803,x101806,x101807,x101808,x101802,x101801))),f333(x101805,f587(x101804,x101805,x101803,x101806,x101807,x101808,x101802,x101801))),x101808)+~P23(f333(f333(f335(f881(x101801,x101802)),x101808),f333(f312(f881(x101807,x101806),f881(x101801,x101802),f273(x101807,x101801,x101806,x101802,x101803,x101805)),x101804))) % 183.16/183.18 [10196]~P23(f333(f333(f335(f881(x101968,x101967)),x101966),f333(f312(f881(x101961,x101962),f881(x101968,x101967),f273(x101961,x101968,x101962,x101967,x101965,x101964)),x101963)))+P23(f333(f333(f335(f881(x101961,x101962)),f333(f333(f268(x101961,x101962),f586(x101963,x101964,x101965,x101962,x101961,x101966,x101967,x101968)),f587(x101963,x101964,x101965,x101962,x101961,x101966,x101967,x101968))),x101963)) % 183.16/183.18 [9669]P23(f333(f333(f335(f881(f881(x96691,x96692),f881(x96691,x96692))),f333(f333(f268(f881(x96691,x96692),f881(x96691,x96692)),f333(f333(f268(x96691,x96692),x96693),x96694)),f333(f333(f268(x96691,x96692),x96695),x96696))),f326(x96691,x96692,x96697,x96698)))+~P23(f333(f333(f335(f881(x96691,x96691)),f333(f333(f268(x96691,x96691),x96693),x96695)),x96697)) % 183.16/183.18 [10168]E(f333(f143(x101681,x101682,f333(f7(x101682,x101681,x101681),x101683),f333(x101684,x101685)),x101686),f333(x101684,f333(f143(x101687,x101682,f333(f7(x101682,x101687,x101687),x101688),x101685),x101686)))+P23(f333(f333(f335(x101682),f772(x101685,x101688,x101684,x101683,x101687,x101681,x101686,x101682)),f333(f174(x101682),x101686))) % 183.16/183.18 [10188]~E(f333(f72(x101881,x101881,x101887,f333(x101883,f772(x101885,x101888,x101884,x101883,x101887,x101881,x101886,x101882))),x101884),f333(f72(x101887,x101881,x101887,x101884),f333(x101888,f772(x101885,x101888,x101884,x101883,x101887,x101881,x101886,x101882))))+E(f333(f143(x101881,x101882,f333(f7(x101882,x101881,x101881),x101883),f333(x101884,x101885)),x101886),f333(x101884,f333(f143(x101887,x101882,f333(f7(x101882,x101887,x101887),x101888),x101885),x101886))) % 183.16/183.18 [8471]E(f333(x84711,f333(x84712,x84713)),f333(x84714,f333(x84715,x84713)))+~E(f333(f72(x84716,x84717,x84718,x84711),x84712),f333(f72(x84719,x84717,x84718,x84714),x84715)) % 183.16/183.18 [10054]P23(f333(f333(f335(f881(x100541,x100542)),f333(f333(f268(x100541,x100542),f333(x100543,x100544)),f333(x100545,x100546))),f333(f312(f881(x100547,x100548),f881(x100541,x100542),f273(x100547,x100541,x100548,x100542,x100543,x100545)),x100549)))+~P23(f333(f333(f335(f881(x100547,x100548)),f333(f333(f268(x100547,x100548),x100544),x100546)),x100549)) % 183.16/183.18 [8742]~E(f333(x87424,f333(x87425,x87426)),f333(x87429,f333(x874210,x874211)))+E(f333(f333(f72(x87421,x87422,x87423,x87424),x87425),x87426),f333(f333(f72(x87427,x87422,x87428,x87429),x874210),x874211)) % 183.16/183.18 [4592]~P99(x45921)+~P106(x45921)+E(f104(x45921),f245(x45921)) % 183.16/183.18 [4593]~P98(x45931)+~P106(x45931)+E(f113(x45931),f246(x45931)) % 183.16/183.18 [4838]~P114(x48381)+~P90(x48381)+E(f333(f74(x48381),f333(f106(x48381),a100)),f77(x48381)) % 183.16/183.18 [5113]E(x51131,f2(a1))+E(f81(a1,x51131),f333(f78(a1),f77(a1)))+P23(f333(f333(f248(a1),f2(a1)),x51131)) % 183.16/183.18 [5321]E(x53211,f2(a1))+E(f81(a1,x53211),f77(a1))+~P23(f333(f333(f248(a1),f2(a1)),x53211)) % 183.16/183.18 [7301]~P38(x73011)+P23(f333(f61(a1),x73011))+~P23(f333(f61(a875),f333(f312(a1,a875,a107),x73011))) % 183.16/183.18 [9631]E(x96311,f196(f882(f881(a875,a875),a870)))+~P23(f333(f61(f881(a875,a875)),x96311))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f196(f882(f881(a875,a875),a870))),x96311)),a36)) % 183.16/183.18 [9800]E(x98001,f2(a875))+E(x98001,f333(a115,f2(a875)))+~P23(f333(f333(f248(a875),x98001),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [10082]E(x100821,f2(a102))+E(f333(f333(f79(a1),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(a20,f333(f333(f38(a102),x100821),f333(f106(a102),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))),f77(a1)),f333(a20,x100821))+E(f44(a102,x100821,f333(f106(a102),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f2(a102)) % 183.16/183.18 [9932]E(x99321,f2(a102))+~E(f44(a102,x99321,f333(f106(a102),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f2(a102))+E(f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(a20,f333(f333(f38(a102),x99321),f333(f106(a102),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f333(a20,x99321)) % 183.16/183.18 [4665]~P52(x46651,x46652)+P43(x46651,x46652)+~P44(a870) % 183.16/183.18 [4602]~P141(x46021)+P30(x46021,x46022)+~E(x46022,f2(x46021)) % 183.16/183.18 [4603]~P106(x46031)+P28(x46031,x46032)+~E(x46032,f116(x46031)) % 183.16/183.18 [4612]~P114(x46121)+~E(x46122,f2(x46121))+E(f81(x46121,x46122),f2(x46121)) % 183.16/183.18 [4613]~P87(x46131)+~E(x46132,f2(x46131))+E(f81(x46131,x46132),f2(x46131)) % 183.16/183.18 [4621]~P141(x46212)+~P30(x46212,x46211)+E(x46211,f2(x46212)) % 183.16/183.18 [4655]~P114(x46552)+~E(f81(x46552,x46551),f2(x46552))+E(x46551,f2(x46552)) % 183.16/183.18 [4672]~P25(x46722)+~P25(x46721)+P25(f882(x46721,x46722)) % 183.16/183.18 [4673]~P25(x46732)+~P25(x46731)+P25(f880(x46731,x46732)) % 183.16/183.18 [4674]~P25(x46742)+~P25(x46741)+P25(f881(x46741,x46742)) % 183.16/183.18 [4675]~P27(x46752)+~P27(x46751)+P27(f203(x46751,x46752)) % 183.16/183.18 [4676]~P57(x46762)+~P57(x46761)+P57(f882(x46761,x46762)) % 183.16/183.18 [4677]~P57(x46772)+~P57(x46771)+P57(f880(x46771,x46772)) % 183.16/183.18 [4678]~P57(x46782)+~P57(x46781)+P57(f881(x46781,x46782)) % 183.16/183.18 [4679]~P57(x46791)+~P92(x46792)+P92(f882(x46791,x46792)) % 183.16/183.18 [4680]~P142(x46802)+~P142(x46801)+P142(f881(x46801,x46802)) % 183.16/183.18 [4681]~P101(x46812)+~P101(x46811)+P101(f881(x46811,x46812)) % 183.16/183.18 [4809]~P106(x48091)+~P28(x48091,x48092)+P28(x48091,f153(x48091,x48092)) % 183.16/183.18 [5044]~P27(x50442)+~P27(x50441)+P27(f44(a1,x50441,x50442)) % 183.16/183.18 [4623]~P74(x46231)+~E(x46232,f2(x46231))+E(f333(f78(x46231),x46232),x46232) % 183.16/183.18 [4627]~P138(x46271)+~E(x46272,f2(a1))+E(f333(f105(x46271),x46272),f2(x46271)) % 183.16/183.18 [4628]~P89(x46281)+~E(x46282,f2(a1))+E(f333(f105(x46281),x46282),f2(x46281)) % 183.16/183.18 [4652]~P72(x46521)+~E(f2(x46521),x46522)+E(f333(f78(x46521),x46522),f2(x46521)) % 183.16/183.18 [4653]~P83(x46531)+~E(x46532,f2(x46531))+E(f333(f74(x46531),x46532),f2(x46531)) % 183.16/183.18 [4654]~P72(x46541)+~E(x46542,f2(x46541))+E(f333(f78(x46541),x46542),f2(x46541)) % 183.16/183.18 [4683]~P74(x46832)+E(x46831,f2(x46832))+~E(f333(f78(x46832),x46831),x46831) % 183.16/183.18 [4689]E(x46891,f333(a107,x46892))+~E(x46891,f2(a875))+~E(x46892,f333(f103(a1),x46891)) % 183.16/183.18 [4690]E(f333(a107,x46901),x46902)+~E(x46902,f2(a875))+~E(x46901,f333(f103(a1),x46902)) % 183.16/183.18 [4694]~P89(x46942)+E(x46941,f2(a1))+~E(f333(f105(x46942),x46941),f2(x46942)) % 183.16/183.18 [4699]~P83(x46992)+E(x46991,f2(x46992))+~E(f333(f74(x46992),x46991),f2(x46992)) % 183.16/183.18 [4700]~P72(x47002)+E(x47001,f2(x47002))+~E(f333(f78(x47002),x47001),f2(x47002)) % 183.16/183.18 [4701]~P72(x47011)+E(f2(x47011),x47012)+~E(f333(f78(x47011),x47012),f2(x47011)) % 183.16/183.18 [4884]~P106(x48841)+~P28(x48841,x48842)+P28(x48841,f333(f173(x48841),x48842)) % 183.16/183.18 [4909]~P23(x49092)+~P23(x49091)+P23(f333(f333(a331,x49091),x49092)) % 183.16/183.18 [4943]~E(f77(a875),f2(a875))+E(f333(f37(x49431),x49432),f2(a875))+~P23(f333(f61(x49431),x49432)) % 183.16/183.18 [4976]~P134(x49761)+~P111(x49761)+E(f333(f333(f258(x49761),f2(x49761)),f333(a115,x49762)),f2(x49761)) % 183.16/183.18 [5014]~P106(x50141)+P28(x50141,f140(x50141,x50142))+~P23(f333(f61(x50141),x50142)) % 183.16/183.18 [5015]~P106(x50151)+P28(x50151,f760(x50152,x50151))+~P23(f333(f61(x50151),x50152)) % 183.16/183.18 [5036]~P106(x50361)+E(f333(f174(x50361),f140(x50361,x50362)),x50362)+~P23(f333(f61(x50361),x50362)) % 183.16/183.18 [5037]~P106(x50371)+E(f333(f174(x50371),f760(x50372,x50371)),x50372)+~P23(f333(f61(x50371),x50372)) % 183.16/183.18 [5065]P23(x50651)+P23(x50652)+~P23(f333(f333(a332,x50652),x50651)) % 183.16/183.18 [5077]E(x50771,f196(f882(x50772,a870)))+~E(f333(f37(x50772),x50771),f2(a875))+~P23(f333(f61(x50772),x50771)) % 183.16/183.18 [5082]P23(x50821)+~P23(x50822)+~P23(f333(f333(a336,x50822),x50821)) % 183.16/183.18 [5131]~P71(x51311)+E(f333(f74(x51311),x51312),x51312)+P23(f333(f333(f248(x51311),x51312),f2(x51311))) % 183.16/183.18 [5194]~P57(x51942)+~P23(f333(f57(x51942),x51941))+P23(f333(x51941,f718(x51941,x51942))) % 183.16/183.18 [5195]~P57(x51952)+~P23(f333(f57(x51952),x51951))+P23(f333(x51951,f723(x51951,x51952))) % 183.16/183.18 [5231]E(x52311,f116(x52312))+P23(f333(f138(x52312),f117(x52312,x52311)))+~P23(f333(f138(x52312),x52311)) % 183.16/183.18 [5236]~P106(x52361)+~P23(f333(f61(x52361),x52362))+P23(f333(f138(x52361),f140(x52361,x52362))) % 183.16/183.18 [5237]~P106(x52371)+~P23(f333(f61(x52371),x52372))+P23(f333(f138(x52371),f760(x52372,x52371))) % 183.16/183.18 [5243]~P138(x52431)+E(f333(f103(x52431),f333(a107,x52432)),f333(f105(x52431),x52432))+P23(f333(f333(f248(a1),x52432),f2(a1))) % 183.16/183.18 [5271]P2(x52712,x52711)+E(f333(x52711,f485(x52711)),f333(x52711,f552(x52711)))+P23(f333(f333(x52711,f485(x52711)),f552(x52711))) % 183.16/183.18 [5286]E(f333(f103(a1),f404(x52861,x52862)),x52861)+P23(f333(x52862,f333(a107,x52861)))+~P23(f333(x52862,f2(a875))) % 183.16/183.18 [5298]~P57(x52981)+~P23(f333(x52982,f724(x52982,x52981)))+P23(f333(f58(x52981),x52982)) % 183.16/183.18 [5299]~P57(x52991)+~P23(f333(x52992,f726(x52992,x52991)))+P23(f333(f58(x52991),x52992)) % 183.16/183.18 [5314]~P57(x53142)+~P35(x53142,x53141,f55(x53142))+P23(f333(x53141,f775(x53141,x53142))) % 183.16/183.18 [5330]~P114(x53301)+~E(f81(x53301,x53302),f333(f78(x53301),f77(x53301)))+P23(f333(f333(f248(x53301),x53302),f2(x53301))) % 183.16/183.18 [5406]~E(x54062,f2(a1))+E(f227(x54061,x54062),f333(f333(f268(a1,a1),f2(a1)),f77(a1)))+P23(f333(f333(f248(a1),x54062),f2(a1))) % 183.16/183.18 [5407]~E(x54071,f2(a1))+E(f227(x54071,x54072),f333(f333(f268(a1,a1),f2(a1)),f77(a1)))+P23(f333(f333(f248(a1),x54072),f2(a1))) % 183.16/183.18 [5459]E(f333(f103(a1),f404(x54591,x54592)),x54591)+P23(f333(x54592,f333(a107,x54591)))+P23(f333(f333(f248(a1),x54591),f2(a1))) % 183.16/183.18 [5522]~P114(x55221)+E(f81(x55221,x55222),f333(f78(x55221),f77(x55221)))+~P23(f333(f333(f248(x55221),x55222),f2(x55221))) % 183.16/183.18 [5523]~P83(x55231)+E(f333(f74(x55231),x55232),f333(f78(x55231),x55232))+~P23(f333(f333(f248(x55231),x55232),f2(x55231))) % 183.16/183.18 [5524]~P83(x55241)+E(f333(f74(x55241),x55242),f333(f78(x55241),x55242))+~P23(f333(f333(f247(x55241),x55242),f2(x55241))) % 183.16/183.18 [5525]~P71(x55251)+E(f333(f74(x55251),x55252),f333(f78(x55251),x55252))+~P23(f333(f333(f248(x55251),x55252),f2(x55251))) % 183.16/183.18 [5622]~P23(f333(x56221,f404(x56222,x56221)))+P23(f333(x56221,f333(a107,x56222)))+~P23(f333(x56221,f2(a875))) % 183.16/183.18 [5629]E(x56291,f2(a875))+E(f333(a115,f358(x56292,x56291)),x56291)+~P23(f333(f333(f248(a875),x56291),f333(a115,x56292))) % 183.16/183.18 [5633]P2(x56331,x56332)+~E(f333(x56332,f485(x56332)),f333(x56332,f552(x56332)))+~P23(f333(f333(x56332,f485(x56332)),f552(x56332))) % 183.16/183.18 [5653]~P106(x56531)+P28(x56531,x56532)+P23(f333(f333(f247(a875),f743(x56532,x56531)),f744(x56532,x56531))) % 183.16/183.18 [5654]~P106(x56541)+P28(x56541,x56542)+P23(f333(f333(f247(a875),f751(x56542,x56541)),f755(x56542,x56541))) % 183.16/183.18 [5740]~P83(x57401)+~E(x57402,f2(x57401))+P23(f333(f333(f247(x57401),f333(f74(x57401),x57402)),f2(x57401))) % 183.16/183.18 [5819]~P57(x58192)+~P57(x58191)+E(f59(x58191,x58192,f55(x58191),f55(x58192)),f55(f881(x58191,x58192))) % 183.16/183.18 [5823]~P23(f333(x58231,f404(x58232,x58231)))+P23(f333(x58231,f333(a107,x58232)))+P23(f333(f333(f248(a1),x58232),f2(a1))) % 183.16/183.18 [5846]~P23(f333(x58461,f333(a107,x58462)))+P23(f333(x58461,f2(a875)))+~P23(f333(f333(f248(a1),x58462),f2(a1))) % 183.16/183.18 [6182]~P114(x61821)+~P23(f333(f333(f248(x61821),x61822),f2(x61821)))+P23(f333(f333(f248(x61821),f81(x61821,x61822)),f2(x61821))) % 183.16/183.18 [6296]~P114(x62961)+P23(f333(f333(f248(x62961),f333(f105(x62961),x62962)),f2(x62961)))+~P23(f333(f333(f248(a1),x62962),f2(a1))) % 183.16/183.18 [6297]~P114(x62971)+P23(f333(f333(f247(x62971),f333(f105(x62971),x62972)),f2(x62971)))+~P23(f333(f333(f247(a1),x62972),f2(a1))) % 183.16/183.18 [6304]~P83(x63042)+E(x63041,f2(x63042))+~P23(f333(f333(f247(x63042),f333(f74(x63042),x63041)),f2(x63042))) % 183.16/183.18 [6380]~P138(x63801)+~P23(f333(f333(f335(x63801),x63802),f112(x63801)))+P23(f333(f333(f335(x63801),f333(f78(x63801),x63802)),f112(x63801))) % 183.16/183.18 [6412]~P114(x64121)+~P23(f333(f333(f248(x64121),f81(x64121,x64122)),f2(x64121)))+P23(f333(f333(f248(x64121),x64122),f2(x64121))) % 183.16/183.18 [6581]~P114(x65812)+~P23(f333(f333(f248(x65812),f333(f105(x65812),x65811)),f2(x65812)))+P23(f333(f333(f248(a1),x65811),f2(a1))) % 183.16/183.18 [6582]~P114(x65822)+~P23(f333(f333(f247(x65822),f333(f105(x65822),x65821)),f2(x65822)))+P23(f333(f333(f247(a1),x65821),f2(a1))) % 183.16/183.18 [7088]~P114(x70881)+~P23(f333(f333(f248(x70881),x70882),f2(x70881)))+P23(f333(f333(f248(x70881),f333(f333(f79(x70881),x70882),x70882)),f2(x70881))) % 183.16/183.18 [7089]~P74(x70891)+~P23(f333(f333(f248(x70891),x70892),f2(x70891)))+P23(f333(f333(f248(x70891),f333(f333(f79(x70891),x70892),x70892)),f2(x70891))) % 183.16/183.18 [7090]~P74(x70901)+~P23(f333(f333(f247(x70901),x70902),f2(x70901)))+P23(f333(f333(f247(x70901),f333(f333(f79(x70901),x70902),x70902)),f2(x70901))) % 183.16/183.18 [7659]~P114(x76591)+~P23(f333(f333(f248(x76591),f333(f333(f79(x76591),x76592),x76592)),f2(x76591)))+P23(f333(f333(f248(x76591),x76592),f2(x76591))) % 183.16/183.18 [7660]~P74(x76601)+~P23(f333(f333(f248(x76601),f333(f333(f79(x76601),x76602),x76602)),f2(x76601)))+P23(f333(f333(f248(x76601),x76602),f2(x76601))) % 183.16/183.18 [7661]~P74(x76611)+~P23(f333(f333(f247(x76611),f333(f333(f79(x76611),x76612),x76612)),f2(x76611)))+P23(f333(f333(f247(x76611),x76612),f2(x76611))) % 183.16/183.18 [4739]~E(x47392,f2(a875))+~E(x47391,f2(a875))+E(f333(f333(f79(a875),x47391),x47392),f2(a875)) % 183.16/183.18 [4740]~E(x47402,f77(a875))+~E(x47401,f77(a875))+E(f333(f333(f80(a875),x47401),x47402),f77(a875)) % 183.16/183.18 [4741]~E(x47412,f77(a1))+~E(x47411,f77(a1))+E(f333(f333(f80(a1),x47411),x47412),f77(a1)) % 183.16/183.18 [4795]~P55(x47952)+E(x47951,f2(x47952))+E(f333(f333(f38(x47952),x47951),x47951),f77(x47952)) % 183.16/183.18 [4796]~P117(x47962)+E(x47961,f2(x47962))+E(f333(f333(f291(x47962),x47961),x47961),f77(x47962)) % 183.16/183.18 [4797]~P118(x47972)+E(x47971,f2(x47972))+E(f333(f333(f291(x47972),x47971),x47971),f77(x47972)) % 183.16/183.18 [4814]~P74(x48141)+~E(x48142,f2(x48141))+E(f333(f333(f79(x48141),x48142),x48142),f2(x48141)) % 183.16/183.18 [4817]~P137(x48171)+~E(x48172,f77(x48171))+E(f333(f333(f80(x48171),x48172),x48172),f77(x48171)) % 183.16/183.18 [4818]~P118(x48181)+~E(x48182,f2(x48181))+E(f333(f333(f291(x48181),x48182),x48182),f2(x48181)) % 183.16/183.18 [4863]~E(x48632,f2(a875))+~E(x48631,f2(a875))+E(f333(f78(a1),f333(f103(a1),x48631)),f333(f103(a1),x48632)) % 183.16/183.18 [4881]E(x48811,f77(a875))+E(x48812,f2(a875))+~E(f333(f333(f80(a875),x48812),x48811),x48812) % 183.16/183.18 [4891]E(x48911,f2(a875))+E(x48912,f2(a875))+~E(f333(f333(f80(a875),x48912),x48911),f2(a875)) % 183.16/183.18 [4918]~E(x49182,f2(a875))+~E(x49181,f333(a115,f2(a875)))+E(f333(f333(f79(a875),x49181),x49182),f333(a115,f2(a875))) % 183.16/183.18 [4919]~E(x49191,f2(a875))+~E(x49192,f333(a115,f2(a875)))+E(f333(f333(f79(a875),x49191),x49192),f333(a115,f2(a875))) % 183.16/183.18 [4926]E(x49261,f77(a1))+E(x49262,f333(f106(a1),a100))+~E(f333(f333(f80(a1),x49261),x49262),f77(a1)) % 183.16/183.18 [4927]E(x49271,f77(a1))+E(x49272,f333(f106(a1),a100))+~E(f333(f333(f80(a1),x49272),x49271),f77(a1)) % 183.16/183.18 [4928]E(x49281,f77(a1))+E(x49281,f333(f106(a1),a100))+~E(f333(f333(f80(a1),x49282),x49281),f77(a1)) % 183.16/183.18 [4930]E(x49301,f77(a1))+E(x49301,f333(f106(a1),a100))+~E(f333(f333(f80(a1),x49301),x49302),f77(a1)) % 183.16/183.18 [4947]~P74(x49472)+E(x49471,f2(x49472))+~E(f333(f333(f79(x49472),x49471),x49471),f2(x49472)) % 183.16/183.18 [4953]~E(x49531,f333(f106(a1),a100))+~E(x49532,f333(f106(a1),a100))+E(f333(f333(f80(a1),x49531),x49532),f77(a1)) % 183.16/183.18 [4965]E(x49651,f2(a875))+E(x49652,f2(a875))+~E(f333(f333(f79(a875),x49652),x49651),f333(a115,f2(a875))) % 183.16/183.18 [4975]~P58(x49751)+~P90(x49751)+E(f333(f333(f291(x49751),x49752),f333(f106(x49751),a82)),f2(x49751)) % 183.16/183.18 [4981]~P137(x49811)+~E(x49812,f333(f78(x49811),f77(x49811)))+E(f333(f333(f80(x49811),x49812),x49812),f77(x49811)) % 183.16/183.18 [4986]~P27(x49862)+~P27(x49861)+P27(f333(f333(f79(a1),x49861),x49862)) % 183.16/183.18 [4987]~P27(x49872)+~P27(x49871)+P27(f333(f333(f80(a1),x49871),x49872)) % 183.16/183.18 [4988]~P27(x49882)+~P27(x49881)+P27(f333(f333(f38(a1),x49881),x49882)) % 183.16/183.18 [4990]~E(x49902,f2(a1))+E(x49901,f2(a1))+E(f45(x49901,x49902),f333(f333(f268(a1,a1),f2(a1)),x49901)) % 183.16/183.18 [5012]~E(x50122,f333(a115,f2(a875)))+~E(x50121,f333(a115,f2(a875)))+E(f333(f333(f80(a875),x50121),x50122),f333(a115,f2(a875))) % 183.16/183.18 [5027]E(x50271,f2(a875))+E(x50272,f333(a115,f2(a875)))+~E(f333(f333(f258(a875),x50272),x50271),f333(a115,f2(a875))) % 183.16/183.18 [5028]E(x50281,f2(a875))+E(x50281,f333(a115,f2(a875)))+~E(f333(f333(f79(a875),x50282),x50281),f333(a115,f2(a875))) % 183.16/183.18 [5029]E(x50291,f2(a875))+E(x50291,f333(a115,f2(a875)))+~E(f333(f333(f79(a875),x50291),x50292),f333(a115,f2(a875))) % 183.16/183.18 [5038]~P58(x50381)+~P90(x50381)+E(f333(f333(f291(x50381),x50382),f333(f106(x50381),a100)),f333(f78(x50381),x50382)) % 183.16/183.18 [5057]E(x50571,f333(a107,x50572))+~E(x50571,f2(a875))+P23(f333(f333(f247(a1),f2(a1)),x50572)) % 183.16/183.18 [5058]E(f333(a107,x50581),x50582)+~E(x50582,f2(a875))+P23(f333(f333(f247(a1),f2(a1)),x50581)) % 183.16/183.18 [5073]E(x50731,f333(a115,f2(a875)))+E(x50732,f333(a115,f2(a875)))+~E(f333(f333(f79(a875),x50731),x50732),f333(a115,f2(a875))) % 183.16/183.18 [5084]~E(x50841,f333(a107,x50842))+E(x50841,f2(a875))+P23(f333(f333(f247(a1),f2(a1)),x50842)) % 183.16/183.18 [5085]~E(f333(a107,x50852),x50851)+E(x50851,f2(a875))+P23(f333(f333(f247(a1),f2(a1)),x50852)) % 183.16/183.18 [5107]~P62(x51071)+E(f333(f63(x51071,f113(x51071)),x51072),f13(x51071,x51072))+~P23(f333(f61(x51071),x51072)) % 183.16/183.18 [5108]~P62(x51081)+E(f333(f63(x51081,f104(x51081)),x51082),f10(x51081,x51082))+~P23(f333(f61(x51081),x51082)) % 183.16/183.18 [5109]~P106(x51091)+E(f333(f63(x51091,f245(x51091)),x51092),f14(x51091,x51092))+~P23(f333(f61(x51091),x51092)) % 183.16/183.18 [5110]~P106(x51101)+E(f333(f63(x51101,f246(x51101)),x51102),f15(x51101,x51102))+~P23(f333(f61(x51101),x51102)) % 183.16/183.18 [5112]~P57(x51121)+~P23(f333(x51122,f209(x51121)))+P23(f333(f57(f879(x51121)),x51122)) % 183.16/183.18 [5187]~P57(x51872)+P23(f333(x51871,f209(x51872)))+~P23(f333(f58(f879(x51872)),x51871)) % 183.16/183.18 [5188]E(x51881,x51882)+~E(f333(f333(f22(a875),x51882),x51881),f2(a875))+~E(f333(f333(f22(a875),x51881),x51882),f2(a875)) % 183.16/183.18 [5203]P27(x52031)+~P38(x52032)+~P23(f333(f333(f335(a1),x52031),x52032)) % 183.16/183.18 [5232]~P114(x52321)+~E(f81(x52321,x52322),f77(x52321))+P23(f333(f333(f248(x52321),f2(x52321)),x52322)) % 183.16/183.18 [5244]~P90(x52441)+E(f333(f103(x52441),f333(f106(a875),x52442)),f333(f106(x52441),x52442))+P23(f333(a201,f333(f106(a1),x52442))) % 183.16/183.18 [5250]~P43(x52501,x52502)+P44(a870)+P23(f333(f61(f881(x52501,x52501)),x52502)) % 183.16/183.18 [5323]~P106(x53231)+E(f333(f63(x53231,f245(x53231)),x53232),f11(x53231,f245(x53231),x53232))+~P23(f333(f61(x53231),x53232)) % 183.16/183.18 [5324]~P106(x53241)+E(f333(f63(x53241,f246(x53241)),x53242),f12(x53241,f246(x53241),x53242))+~P23(f333(f61(x53241),x53242)) % 183.16/183.18 [5337]E(x53371,x53372)+P23(f333(f333(f248(a875),x53372),x53371))+P23(f333(f333(f248(a875),x53371),x53372)) % 183.16/183.18 [5338]E(x53381,x53382)+P23(f333(f333(f248(a1),x53382),x53381))+P23(f333(f333(f248(a1),x53381),x53382)) % 183.16/183.18 [5393]~P90(x53931)+E(f333(f103(x53931),f333(f106(a875),x53932)),f2(x53931))+~P23(f333(a201,f333(f106(a1),x53932))) % 183.16/183.18 [5396]~E(x53962,f333(a107,x53961))+E(x53961,f333(f103(a1),x53962))+~P23(f333(f333(f247(a1),f2(a1)),x53961)) % 183.16/183.18 [5397]~E(f333(a107,x53971),x53972)+E(x53971,f333(f103(a1),x53972))+~P23(f333(f333(f247(a1),f2(a1)),x53971)) % 183.16/183.18 [5398]~E(x53981,f333(a107,x53982))+E(f333(f103(a1),x53981),x53982)+~P23(f333(f333(f247(a1),f2(a1)),x53982)) % 183.16/183.18 [5408]E(x54081,f333(a107,x54082))+~E(x54082,f333(f103(a1),x54081))+~P23(f333(f333(f247(a1),f2(a1)),x54082)) % 183.16/183.18 [5409]E(f333(a107,x54091),x54092)+~E(x54091,f333(f103(a1),x54092))+~P23(f333(f333(f247(a1),f2(a1)),x54091)) % 183.16/183.18 [5448]~P83(x54482)+E(x54481,f2(x54482))+P23(f333(f333(f248(x54482),f2(x54482)),f333(f74(x54482),x54481))) % 183.16/183.18 [5515]~P114(x55151)+E(f81(x55151,x55152),f77(x55151))+~P23(f333(f333(f248(x55151),f2(x55151)),x55152)) % 183.16/183.18 [5519]~P90(x55191)+E(f333(f103(x55191),f333(f106(a875),x55192)),f2(x55191))+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x55192))) % 183.16/183.18 [5526]~P83(x55261)+E(f333(f74(x55261),x55262),x55262)+~P23(f333(f333(f248(x55261),f2(x55261)),x55262)) % 183.16/183.18 [5527]~P83(x55271)+E(f333(f74(x55271),x55272),x55272)+~P23(f333(f333(f247(x55271),f2(x55271)),x55272)) % 183.16/183.18 [5536]E(x55361,f2(a875))+~E(f140(a875,f333(f303(a875,x55362),x55361)),f116(a875))+P23(f333(f333(f247(a875),x55361),x55362)) % 183.16/183.18 [5546]~P66(x55461)+E(f333(f333(f6(x55461,x55461),f5(x55461)),f333(f174(x55461),x55462)),f333(f167(x55461),x55462))+~P23(f333(f138(x55461),x55462)) % 183.16/183.18 [5549]~P138(x55491)+E(f333(f103(x55491),f333(a107,x55492)),f333(f105(x55491),x55492))+~P23(f333(f333(f247(a1),f2(a1)),x55492)) % 183.16/183.18 [5576]E(x55761,x55762)+P23(f333(f333(f248(a875),x55761),x55762))+~P23(f333(f333(f247(a875),x55761),x55762)) % 183.16/183.18 [5577]E(x55771,x55772)+P23(f333(f333(f248(a1),x55771),x55772))+~P23(f333(f333(f247(a1),x55771),x55772)) % 183.16/183.18 [5580]E(x55801,f77(a1))+~E(f333(f333(f80(a1),x55802),x55801),f77(a1))+~P23(f333(f333(f248(a1),f2(a1)),x55802)) % 183.16/183.18 [5581]E(x55811,f77(a1))+~E(f333(f333(f80(a1),x55811),x55812),f77(a1))+~P23(f333(f333(f248(a1),f2(a1)),x55811)) % 183.16/183.18 [5619]~P38(x56192)+P23(f333(f333(f247(a1),f2(a1)),x56191))+~P23(f333(f333(f335(a1),x56191),x56192)) % 183.16/183.18 [5638]~P52(x56381,x56382)+P37(x56381,x56382)+~P23(f333(f61(f881(x56381,x56381)),x56382)) % 183.16/183.18 [5640]~P52(x56401,x56402)+P43(x56401,x56402)+~P23(f333(f61(f881(x56401,x56401)),x56402)) % 183.16/183.18 [5684]E(x56841,f196(f882(x56842,a870)))+~P23(f333(f61(x56842),x56841))+P23(f333(f333(f248(a875),f2(a875)),f333(f37(x56842),x56841))) % 183.16/183.18 [5711]~P23(f333(x57111,x57112))+P23(f333(x57111,f2(a875)))+P23(f333(f333(f248(a875),f410(x57112,x57111)),x57112)) % 183.16/183.18 [5734]E(x57341,f2(a875))+~E(f333(f167(a875),x57342),f2(a875))+~P23(f333(f333(f335(a875),x57341),f333(f174(a875),x57342))) % 183.16/183.18 [5800]E(x58001,x58002)+~P23(f333(f333(f247(a875),x58002),x58001))+~P23(f333(f333(f247(a875),x58001),x58002)) % 183.16/183.18 [5801]E(x58011,x58012)+~P23(f333(f333(f247(a1),x58012),x58011))+~P23(f333(f333(f247(a1),x58011),x58012)) % 183.16/183.18 [5802]E(f333(f37(x58021),x58022),f2(a875))+~P23(f333(f61(x58021),x58022))+P23(f333(f333(f335(x58021),f521(x58022,x58021)),x58022)) % 183.16/183.18 [5811]E(f49(x58111,x58112),f45(x58111,x58112))+P23(f333(f333(f247(a1),f2(a1)),x58111))+~P23(f333(f333(f248(a1),f2(a1)),x58112)) % 183.16/183.18 [5835]~P23(f333(x58351,f402(x58351)))+P23(f333(x58351,f333(a107,x58352)))+~P23(f333(f333(f247(a1),f2(a1)),x58352)) % 183.16/183.18 [5837]P23(f333(f333(f248(a875),x58371),f345(x58372)))+~P23(f333(f61(a875),x58372))+~P23(f333(f333(f335(a875),x58371),x58372)) % 183.16/183.18 [5838]P23(f333(f333(f247(a875),x58381),f355(x58382)))+~P23(f333(f61(a875),x58382))+~P23(f333(f333(f335(a875),x58381),x58382)) % 183.16/183.18 [5867]E(x58671,x58672)+~P23(f333(f333(f248(a875),x58671),f333(a115,x58672)))+P23(f333(f333(f248(a875),x58671),x58672)) % 183.16/183.18 [5899]E(x58991,f333(a115,x58992))+~P23(f333(f333(f247(a875),x58991),f333(a115,x58992)))+P23(f333(f333(f247(a875),x58991),x58992)) % 183.16/183.18 [5912]P23(f333(x59121,f403(x59121)))+~P23(f333(x59121,f333(a107,x59122)))+~P23(f333(f333(f247(a1),f2(a1)),x59122)) % 183.16/183.18 [5926]~P23(f333(x59261,x59262))+~P23(f333(f333(f247(a1),f2(a1)),x59262))+P23(f333(x59261,f333(f103(a1),f376(x59261)))) % 183.16/183.18 [5941]~P83(x59412)+~E(x59411,f2(x59412))+~P23(f333(f333(f248(x59412),f2(x59412)),f333(f74(x59412),x59411))) % 183.16/183.18 [5968]~P52(x59681,x59682)+P37(x59681,f333(f288(x59681,x59681),x59682))+~P23(f333(f61(f881(x59681,x59681)),x59682)) % 183.16/183.18 [5976]~P90(x59761)+E(f333(f103(x59761),f333(f106(a875),x59762)),f333(f106(x59761),x59762))+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x59762))) % 183.16/183.18 [5980]E(f333(a115,x59801),x59802)+~P23(f333(f333(f248(a875),x59801),x59802))+P23(f333(f333(f248(a875),f333(a115,x59801)),x59802)) % 183.16/183.18 [5994]E(f333(f333(f38(a1),x59941),x59942),f2(a1))+~P23(f333(f333(f247(a1),x59941),f2(a1)))+~P23(f333(f333(f248(a1),x59942),x59941)) % 183.16/183.18 [6005]E(f44(a1,x60051,x60052),x60051)+~P23(f333(f333(f247(a1),x60051),f2(a1)))+~P23(f333(f333(f248(a1),x60052),x60051)) % 183.16/183.18 [6018]E(f46(x60181,x60182),f45(x60181,x60182))+~P23(f333(f333(f247(a1),f2(a1)),x60181))+~P23(f333(f333(f247(a1),f2(a1)),x60182)) % 183.16/183.18 [6026]E(f333(f333(f38(a1),x60261),x60262),f2(a1))+~P23(f333(f333(f247(a1),f2(a1)),x60261))+~P23(f333(f333(f248(a1),x60261),x60262)) % 183.16/183.18 [6038]E(f44(a875,f333(f106(a875),x60381),f333(f106(a875),x60382)),f333(f106(a875),x60381))+P23(f333(a201,f333(f106(a1),x60381)))+~P23(f333(a201,f333(f106(a1),x60382))) % 183.16/183.18 [6040]E(f44(a1,x60401,x60402),x60401)+~P23(f333(f333(f247(a1),f2(a1)),x60401))+~P23(f333(f333(f248(a1),x60401),x60402)) % 183.16/183.18 [6041]E(x60411,x60412)+~P23(f333(f333(f248(a875),x60411),f333(a115,x60412)))+~P23(f333(f333(f247(a875),x60412),x60411)) % 183.16/183.18 [6058]~P114(x60581)+~P23(f333(f333(f248(x60581),x60582),f2(x60581)))+P23(f333(f333(f248(x60581),x60582),f333(f78(x60581),x60582))) % 183.16/183.18 [6059]~P74(x60591)+~P23(f333(f333(f247(x60591),x60592),f2(x60591)))+P23(f333(f333(f247(x60591),x60592),f333(f78(x60591),x60592))) % 183.16/183.18 [6069]~P26(x60691)+E(f333(f333(f64(x60691,x60691,f104(x60691)),f256(x60691)),x60692),f40(x60691,x60692))+~P23(f333(f61(x60691),x60692)) % 183.16/183.18 [6070]~P26(x60701)+E(f333(f333(f64(x60701,x60701,f113(x60701)),f196(x60701)),x60702),f39(x60701,x60702))+~P23(f333(f61(x60701),x60702)) % 183.16/183.18 [6084]~P120(x60841)+~P23(f333(f333(f248(a875),f2(a875)),x60842))+P23(f333(f333(f248(x60841),f2(x60841)),f333(f103(x60841),x60842))) % 183.16/183.18 [6085]~P114(x60851)+~P23(f333(f333(f248(a1),f2(a1)),x60852))+P23(f333(f333(f248(x60851),f2(x60851)),f333(f105(x60851),x60852))) % 183.16/183.18 [6086]~P114(x60861)+~P23(f333(f333(f247(a1),f2(a1)),x60862))+P23(f333(f333(f247(x60861),f2(x60861)),f333(f105(x60861),x60862))) % 183.16/183.18 [6089]~P27(x60892)+~P27(x60891)+E(f333(f312(a875,a1,f103(a1)),f304(a875,f333(a107,x60891),f333(a107,x60892))),f304(a1,x60891,x60892)) % 183.16/183.18 [6095]P23(f333(x60951,x60952))+~P23(f333(f333(f247(a1),f2(a1)),x60952))+~P23(f333(x60951,f333(f103(a1),f385(x60951)))) % 183.16/183.18 [6120]E(f333(f333(f79(a875),f333(f106(a875),x61201)),f333(f106(a875),x61202)),f333(f106(a875),x61201))+P23(f333(f333(f248(a1),x61201),a82))+~P23(f333(f333(f248(a1),x61202),a82)) % 183.16/183.18 [6124]~P114(x61241)+P23(f333(f333(f248(x61241),f2(x61241)),f81(x61241,x61242)))+~P23(f333(f333(f248(x61241),f2(x61241)),x61242)) % 183.16/183.18 [6135]~P82(x61351)+~P23(f333(f333(f248(x61351),x61352),f2(x61351)))+P23(f333(f333(f248(x61351),f2(x61351)),f333(f78(x61351),x61352))) % 183.16/183.18 [6136]~P82(x61361)+~P23(f333(f333(f247(x61361),x61362),f2(x61361)))+P23(f333(f333(f247(x61361),f2(x61361)),f333(f78(x61361),x61362))) % 183.16/183.18 [6139]E(x61391,f256(f882(x61392,a870)))+~E(f333(f37(x61392),x61391),f333(f37(x61392),f256(f882(x61392,a870))))+~P23(f333(f61(x61392),f256(f882(x61392,a870)))) % 183.16/183.18 [6174]~P114(x61741)+P23(f333(f333(f248(x61741),x61742),f2(x61741)))+~P23(f333(f333(f248(x61741),x61742),f333(f78(x61741),x61742))) % 183.16/183.18 [6175]~P74(x61751)+P23(f333(f333(f247(x61751),x61752),f2(x61751)))+~P23(f333(f333(f247(x61751),x61752),f333(f78(x61751),x61752))) % 183.16/183.18 [6184]~P90(x61841)+P23(f333(f333(f335(x61841),f333(f106(x61841),x61842)),f194(x61841)))+~P23(f333(f333(f247(a1),a82),x61842)) % 183.16/183.18 [6215]E(x62151,f2(a875))+~P23(f333(f333(f248(a875),x62151),f333(a115,x62152)))+P23(f333(f333(f248(a875),f358(x62152,x62151)),x62152)) % 183.16/183.18 [6237]~P114(x62371)+~P23(f333(f333(f248(x62371),f2(x62371)),f81(x62371,x62372)))+P23(f333(f333(f248(x62371),f2(x62371)),x62372)) % 183.16/183.18 [6239]~E(f333(f106(a875),x62392),f333(f106(a875),x62391))+P23(f333(f333(f247(a1),f333(f106(a1),x62391)),f2(a1)))+~P23(f333(a201,f333(f106(a1),x62392))) % 183.16/183.18 [6269]E(f333(f267(a1,a1),f49(x62691,x62692)),f333(f333(f38(a1),x62691),x62692))+~P23(f333(f333(f248(a1),x62691),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x62692)) % 183.16/183.18 [6302]E(f333(f271(a1,a1),f49(x63021,x63022)),f44(a1,x63021,x63022))+~P23(f333(f333(f248(a1),x63021),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x63022)) % 183.16/183.18 [6305]~P120(x63052)+~P23(f333(f333(f248(x63052),f2(x63052)),f333(f103(x63052),x63051)))+P23(f333(f333(f248(a875),f2(a875)),x63051)) % 183.16/183.18 [6306]~P114(x63062)+~P23(f333(f333(f248(x63062),f2(x63062)),f333(f105(x63062),x63061)))+P23(f333(f333(f248(a1),f2(a1)),x63061)) % 183.16/183.18 [6307]~P114(x63072)+~P23(f333(f333(f247(x63072),f2(x63072)),f333(f105(x63072),x63071)))+P23(f333(f333(f247(a1),f2(a1)),x63071)) % 183.16/183.18 [6310]E(f333(f267(a1,a1),f46(x63101,x63102)),f333(f333(f38(a1),x63101),x63102))+~P23(f333(f333(f248(a1),f2(a1)),x63101))+~P23(f333(f333(f247(a1),f2(a1)),x63102)) % 183.16/183.18 [6325]E(f333(f271(a1,a1),f46(x63251,x63252)),f44(a1,x63251,x63252))+~P23(f333(f333(f248(a1),f2(a1)),x63251))+~P23(f333(f333(f247(a1),f2(a1)),x63252)) % 183.16/183.18 [6340]~P82(x63401)+P23(f333(f333(f248(x63401),x63402),f2(x63401)))+~P23(f333(f333(f248(x63401),f2(x63401)),f333(f78(x63401),x63402))) % 183.16/183.18 [6341]~P82(x63411)+P23(f333(f333(f247(x63411),x63412),f2(x63411)))+~P23(f333(f333(f247(x63411),f2(x63411)),f333(f78(x63411),x63412))) % 183.16/183.18 [6367]P23(f333(f48(x63671,x63672),f49(x63671,x63672)))+~P23(f333(f333(f248(a1),x63671),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x63672)) % 183.16/183.18 [6392]P23(f333(f48(x63921,x63922),f46(x63921,x63922)))+~P23(f333(f333(f248(a1),f2(a1)),x63922))+~P23(f333(f333(f247(a1),f2(a1)),x63921)) % 183.16/183.18 [6435]~P82(x64351)+P23(f333(f333(f248(x64351),f333(f78(x64351),x64352)),f2(x64351)))+~P23(f333(f333(f248(x64351),f2(x64351)),x64352)) % 183.16/183.18 [6436]~P82(x64361)+P23(f333(f333(f247(x64361),f333(f78(x64361),x64362)),f2(x64361)))+~P23(f333(f333(f247(x64361),f2(x64361)),x64362)) % 183.16/183.18 [6452]E(f333(f333(f22(a875),f333(a107,x64521)),f333(a107,x64522)),f333(a107,f203(x64521,x64522)))+~P23(f333(f333(f247(a1),f2(a1)),x64522))+~P23(f333(f333(f247(a1),f2(a1)),x64521)) % 183.16/183.18 [6469]P23(f333(f333(f247(a1),f2(a1)),f203(x64691,x64692)))+~P23(f333(f333(f247(a1),f2(a1)),x64692))+~P23(f333(f333(f247(a1),f2(a1)),x64691)) % 183.16/183.18 [6506]~P23(f333(x65061,x65062))+P23(f333(x65061,f2(a875)))+P23(f333(x65061,f333(f333(f79(a875),f410(x65062,x65061)),f77(a875)))) % 183.16/183.18 [6588]E(f333(f106(a875),x65881),f333(f106(a875),x65882))+~P23(f333(f333(f247(a1),f333(f106(a1),x65882)),f2(a1)))+~P23(f333(a201,f333(f106(a1),x65881))) % 183.16/183.18 [6598]~E(x65981,f2(a875))+~E(f691(x65982,x65981),f2(a875))+E(f333(f143(a875,a875,f79(a875),x65981),x65982),f2(a875)) % 183.16/183.18 [6624]~P23(f333(f61(x66241),f821(x66242,x66241)))+~P23(f333(f61(f882(x66241,a870)),x66242))+P23(f333(f61(x66241),f39(f882(x66241,a870),x66242))) % 183.16/183.18 [6630]E(x66301,x66302)+P23(f333(f333(f248(a1),x66301),x66302))+~P23(f333(f333(f248(a1),x66301),f333(f333(f79(a1),x66302),f77(a1)))) % 183.16/183.18 [6632]P23(f333(f333(f248(a875),f333(a107,x66321)),f333(a107,x66322)))+~P23(f333(f333(f248(a1),f2(a1)),x66322))+~P23(f333(f333(f248(a1),x66321),x66322)) % 183.16/183.18 [6633]P23(f333(f333(f248(a875),f333(a107,x66331)),f333(a107,x66332)))+~P23(f333(f333(f247(a1),f2(a1)),x66331))+~P23(f333(f333(f248(a1),x66331),x66332)) % 183.16/183.18 [6634]P23(f333(f333(f247(a875),f333(a107,x66341)),f333(a107,x66342)))+~P23(f333(f333(f248(a1),f2(a1)),x66341))+~P23(f333(f333(f247(a1),x66341),x66342)) % 183.16/183.18 [6635]P23(f333(f333(f247(a875),f333(a107,x66351)),f333(a107,x66352)))+~P23(f333(f333(f247(a1),f2(a1)),x66352))+~P23(f333(f333(f247(a1),x66351),x66352)) % 183.16/183.18 [6646]E(f44(a875,f333(a107,x66461),f333(a107,x66462)),f333(a107,f44(a1,x66461,x66462)))+~P23(f333(f333(f247(a1),f2(a1)),x66462))+~P23(f333(f333(f247(a1),f2(a1)),x66461)) % 183.16/183.18 [6668]~P82(x66681)+~P23(f333(f333(f248(x66681),f333(f78(x66681),x66682)),f2(x66681)))+P23(f333(f333(f248(x66681),f2(x66681)),x66682)) % 183.16/183.18 [6669]~P82(x66691)+~P23(f333(f333(f247(x66691),f333(f78(x66691),x66692)),f2(x66691)))+P23(f333(f333(f247(x66691),f2(x66691)),x66692)) % 183.16/183.18 [6684]~P23(f333(f333(f248(a1),a82),x66842))+~P23(f333(f333(f248(a1),x66841),x66842))+P23(f333(f333(f248(a875),f333(f106(a875),x66841)),f333(f106(a875),x66842))) % 183.16/183.18 [6775]~P23(f333(f333(f247(a1),f2(a1)),x67751))+P23(f333(f333(f248(a875),f333(a107,x67751)),x67752))+~P23(f333(f333(f248(a1),x67751),f333(f103(a1),x67752))) % 183.16/183.18 [6792]E(x67921,f2(a1))+E(f44(a1,x67922,x67921),f2(a1))+E(f333(f333(f22(a1),f333(f78(a1),f333(f333(f38(a1),x67922),x67921))),f77(a1)),f333(f333(f38(a1),x67922),f333(f78(a1),x67921))) % 183.16/183.18 [6808]~P23(f333(f333(f247(a1),f2(a1)),x68081))+~P23(f333(f333(f248(a875),f333(a107,x68081)),x68082))+P23(f333(f333(f248(a1),x68081),f333(f103(a1),x68082))) % 183.16/183.18 [6845]~P23(f333(f333(f247(a875),f333(a107,x68451)),f333(a107,x68452)))+~P23(f333(f333(f248(a1),f2(a1)),x68451))+P23(f333(f333(f247(a1),x68451),x68452)) % 183.16/183.18 [6846]~P23(f333(f333(f247(a875),f333(a107,x68461)),f333(a107,x68462)))+~P23(f333(f333(f247(a1),f2(a1)),x68462))+P23(f333(f333(f247(a1),x68461),x68462)) % 183.16/183.18 [6872]P23(f333(f333(f247(a1),x68721),x68722))+~P23(f333(f333(f247(a875),f333(f106(a875),x68721)),f333(f106(a875),x68722)))+P23(f333(f333(f247(a1),x68721),a82)) % 183.16/183.18 [6899]P23(f333(f333(f247(a1),f2(a1)),f44(a1,x68991,x68992)))+~P23(f333(f333(f247(a1),f2(a1)),x68992))+~P23(f333(f333(f247(a1),f2(a1)),x68991)) % 183.16/183.18 [6999]P23(f333(f333(f248(a1),a82),x69991))+~P23(f333(f333(f248(a1),x69992),x69991))+~P23(f333(f333(f248(a875),f333(f106(a875),x69992)),f333(f106(a875),x69991))) % 183.16/183.18 [7050]E(f333(f333(f268(a1,a1),f333(f333(f38(a1),x70501),x70502)),f44(a1,x70501,x70502)),f49(x70501,x70502))+~P23(f333(f333(f248(a1),x70501),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x70502)) % 183.16/183.18 [7071]E(f333(f333(f268(a1,a1),f333(f333(f38(a1),x70711),x70712)),f44(a1,x70711,x70712)),f46(x70711,x70712))+~P23(f333(f333(f247(a1),f2(a1)),x70712))+~P23(f333(f333(f247(a1),f2(a1)),x70711)) % 183.16/183.18 [7122]~P94(x71222)+E(x71221,f116(x71222))+E(f333(f143(x71222,x71222,f80(x71222),f333(f142(x71222),x71221)),f333(f173(x71222),x71221)),f333(f63(x71222,f80(x71222)),f333(f174(x71222),x71221))) % 183.16/183.18 [7234]~E(x72341,f2(a875))+E(f333(f143(a875,a875,f79(a875),x72341),x72342),f2(a875))+P23(f333(f333(f335(a875),f691(x72342,x72341)),f333(f174(a875),x72342))) % 183.16/183.18 [7281]~P23(f333(f333(f248(a1),x72812),f2(a1)))+P23(f333(f333(f248(a1),f333(f333(f38(a1),x72811),x72812)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x72811)) % 183.16/183.18 [7283]~P23(f333(f333(f248(a1),x72831),f2(a1)))+P23(f333(f333(f248(a1),f333(f333(f38(a1),x72831),x72832)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x72832)) % 183.16/183.18 [7284]~P23(f333(f333(f248(a1),x72842),f2(a1)))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x72841),x72842)),f2(a1)))+~P23(f333(f333(f247(a1),f2(a1)),x72841)) % 183.16/183.18 [7285]~P23(f333(f333(f247(a1),x72851),f2(a1)))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x72851),x72852)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x72852)) % 183.16/183.18 [7291]P23(f333(f333(f335(f882(x72911,a870)),f821(x72912,x72911)),x72912))+~P23(f333(f61(f882(x72911,a870)),x72912))+P23(f333(f61(x72911),f39(f882(x72911,a870),x72912))) % 183.16/183.18 [7388]P20(x73881,x73881,x73882,f256(f882(x73881,a870)))+~E(f333(f312(x73881,x73881,x73882),f256(f882(x73881,a870))),f256(f882(x73881,a870)))+~P23(f333(f61(x73881),f256(f882(x73881,a870)))) % 183.16/183.18 [7516]~P20(x75161,x75161,x75162,f256(f882(x75161,a870)))+E(f333(f312(x75161,x75161,x75162),f256(f882(x75161,a870))),f256(f882(x75161,a870)))+~P23(f333(f61(x75161),f256(f882(x75161,a870)))) % 183.16/183.18 [7653]E(f333(f333(f38(a1),x76531),x76532),f333(f106(a1),a100))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x76531),x76532)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x76531)) % 183.16/183.18 [7714]~P23(f333(f333(f248(a1),x77142),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f38(a1),x77141),x77142)),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x77141)) % 183.16/183.18 [7719]E(f333(f333(f79(a1),x77191),x77192),f44(a1,x77191,x77192))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),x77191),x77192)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x77191)) % 183.16/183.18 [7722]P23(f333(f333(f248(a1),x77221),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f38(a1),x77221),x77222)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x77222)) % 183.16/183.18 [8119]~P57(x81191)+~P23(f333(f58(f879(x81191)),x81192))+P23(f333(f58(x81191),f333(f333(f8(f879(x81191),a870,x81191),x81192),f240(x81191)))) % 183.16/183.18 [8432]~P106(x84321)+P28(x84321,x84322)+~P23(f333(f333(f247(x84321),f333(f333(f166(x84321),x84322),f743(x84322,x84321))),f333(f333(f166(x84321),x84322),f744(x84322,x84321)))) % 183.16/183.18 [8433]~P106(x84331)+P28(x84331,x84332)+~P23(f333(f333(f247(x84331),f333(f333(f166(x84331),x84332),f751(x84332,x84331))),f333(f333(f166(x84331),x84332),f755(x84332,x84331)))) % 183.16/183.18 [8585]~P57(x85851)+P23(f333(f57(f879(x85851)),x85852))+~P23(f333(f57(x85851),f333(f333(f8(f879(x85851),a870,x85851),x85852),f240(x85851)))) % 183.16/183.18 [9748]~P57(x97481)+~P57(x97482)+E(f333(f333(f155(f876(x97481),f882(x97482,x97481)),f333(f333(f8(f882(x97482,f879(x97481)),f882(x97482,x97481),f876(x97481)),f72(f879(x97481),x97481,x97482,f244(x97481))),f333(f333(f8(f876(f881(x97482,x97481)),f882(x97482,f879(x97481)),f876(x97481)),f180(x97482,x97481)),f333(f184(x97482,x97481),f55(x97482))))),f54(x97481,f333(f197(f876(x97482)),f55(x97482)),f55(x97481))),f55(f882(x97482,x97481))) % 183.16/183.18 [5677]E(x56771,f2(a1))+~E(f44(a1,x56772,x56771),f2(a1))+E(f333(f333(f38(a1),x56772),f333(f78(a1),x56771)),f333(f78(a1),f333(f333(f38(a1),x56772),x56771))) % 183.16/183.18 [5695]~P38(x56952)+~P38(x56951)+P38(f333(f333(f113(f882(a1,a870)),x56951),x56952)) % 183.16/183.18 [5696]~P38(x56962)+~P38(x56961)+P38(f333(f333(f104(f882(a1,a870)),x56961),x56962)) % 183.16/183.18 [5714]~P58(x57141)+~P90(x57141)+E(f333(f78(x57141),f333(f333(f291(x57141),f77(x57141)),x57142)),f333(f333(f291(x57141),f333(f106(x57141),a100)),x57142)) % 183.16/183.18 [5827]E(x58271,f2(a1))+~E(f44(a1,x58272,x58271),f2(a1))+E(f333(f333(f38(a1),f333(f78(a1),x58272)),x58271),f333(f78(a1),f333(f333(f38(a1),x58272),x58271))) % 183.16/183.18 [5962]~P106(x59621)+P28(x59621,x59622)+P23(f333(f333(f248(a875),f744(x59622,x59621)),f333(f197(f876(x59621)),x59622))) % 183.16/183.18 [5963]~P106(x59631)+P28(x59631,x59632)+P23(f333(f333(f248(a875),f755(x59632,x59631)),f333(f197(f876(x59631)),x59632))) % 183.16/183.18 [6116]~P90(x61161)+~E(f333(f106(x61161),x61162),f2(x61161))+P30(x61161,f333(f106(x61161),f333(f333(f79(a1),x61162),f333(f78(a1),a82)))) % 183.16/183.18 [6117]~P90(x61171)+~E(f333(f106(x61171),x61172),f2(x61171))+P30(x61171,f333(f106(x61171),f333(f333(f79(a1),a82),f333(f78(a1),x61172)))) % 183.16/183.18 [6119]E(f333(a50,f46(f333(f78(a1),x61191),f333(f78(a1),x61192))),f45(x61191,x61192))+P23(f333(f333(f248(a1),f2(a1)),x61192))+P23(f333(f333(f247(a1),f2(a1)),x61191)) % 183.16/183.18 [6245]~E(x62452,f2(a875))+~E(x62451,f2(a875))+P23(f333(f333(f247(a1),f333(f103(a1),x62451)),f333(f78(a1),f333(f103(a1),x62452)))) % 183.16/183.18 [6273]E(f333(f333(f79(a875),f333(f106(a875),x62731)),f333(f106(a875),x62732)),f333(f106(a875),f333(f333(f79(a1),x62731),x62732)))+P23(f333(f333(f248(a1),x62731),a82))+P23(f333(f333(f248(a1),x62732),a82)) % 183.16/183.18 [6401]~P74(x64011)+~P23(f333(f333(f248(x64011),f2(x64011)),x64012))+P23(f333(f333(f248(x64011),f333(f78(x64011),x64012)),x64012)) % 183.16/183.18 [6402]~P74(x64021)+~P23(f333(f333(f247(x64021),f2(x64021)),x64022))+P23(f333(f333(f247(x64021),f333(f78(x64021),x64022)),x64022)) % 183.16/183.18 [6574]E(f333(f333(f22(a875),f333(a107,x65741)),f333(a107,x65742)),f333(a107,f333(f333(f22(a1),x65741),x65742)))+~P23(f333(f333(f247(a1),f2(a1)),x65742))+~P23(f333(f333(f247(a1),x65742),x65741)) % 183.16/183.18 [6607]E(f333(a107,f44(a1,f333(f106(a1),x66071),f333(f106(a1),x66072))),f44(a875,f333(f106(a875),x66071),f333(f106(a875),x66072)))+P23(f333(a201,f333(f106(a1),x66071)))+P23(f333(a201,f333(f106(a1),x66072))) % 183.16/183.18 [6625]~P74(x66251)+P23(f333(f333(f248(x66251),f2(x66251)),x66252))+~P23(f333(f333(f248(x66251),f333(f78(x66251),x66252)),x66252)) % 183.16/183.18 [6626]~P74(x66261)+P23(f333(f333(f247(x66261),f2(x66261)),x66262))+~P23(f333(f333(f247(x66261),f333(f78(x66261),x66262)),x66262)) % 183.16/183.18 [6637]~P74(x66371)+~P23(f333(f333(f248(x66371),f2(x66371)),x66372))+P23(f333(f333(f248(x66371),f2(x66371)),f333(f333(f79(x66371),x66372),x66372))) % 183.16/183.18 [6640]~P74(x66401)+~P23(f333(f333(f247(x66401),f2(x66401)),x66402))+P23(f333(f333(f247(x66401),f2(x66401)),f333(f333(f79(x66401),x66402),x66402))) % 183.16/183.18 [6651]E(f333(f333(f79(a875),f333(a107,x66511)),f333(a107,x66512)),f333(a107,f333(f333(f79(a1),x66511),x66512)))+~P23(f333(f333(f247(a1),f2(a1)),x66512))+~P23(f333(f333(f247(a1),f2(a1)),x66511)) % 183.16/183.18 [6663]E(x66631,f2(a875))+P23(f333(f333(f248(a875),f2(a875)),x66632))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f258(a875),x66632),x66631))) % 183.16/183.18 [6693]~P90(x66931)+E(f333(f106(x66931),x66932),f2(x66931))+~P30(x66931,f333(f106(x66931),f333(f333(f79(a1),a82),f333(f78(a1),x66932)))) % 183.16/183.18 [6694]~P90(x66941)+E(f333(f106(x66941),x66942),f2(x66941))+~P30(x66941,f333(f106(x66941),f333(f333(f79(a1),x66942),f333(f78(a1),a82)))) % 183.16/183.18 [6753]~P23(f333(f61(x67531),x67532))+~P23(f333(f61(x67531),f256(f882(x67531,a870))))+P23(f333(f61(x67531),f333(f78(f882(x67531,a870)),x67532))) % 183.16/183.18 [6776]~P23(f333(f333(f248(a1),f2(a1)),x67762))+~P23(f333(f333(f247(a1),x67762),x67761))+P23(f333(f333(f248(a1),f2(a1)),f333(f333(f38(a1),x67761),x67762))) % 183.16/183.18 [6777]~P23(f333(f333(f248(a1),x67772),f2(a1)))+~P23(f333(f333(f247(a1),x67771),f2(a1)))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f38(a1),x67771),x67772))) % 183.16/183.18 [6816]~P23(f333(f333(f248(a875),f2(a875)),x68162))+~P23(f333(f333(f248(a875),f2(a875)),x68161))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f80(a875),x68161),x68162))) % 183.16/183.18 [6817]~P23(f333(f333(f247(a1),f2(a1)),x68172))+~P23(f333(f333(f247(a1),f2(a1)),x68171))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),x68171),x68172))) % 183.16/183.18 [6818]~P23(f333(f333(f247(a1),f2(a1)),x68182))+~P23(f333(f333(f247(a1),f2(a1)),x68181))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f80(a1),x68181),x68182))) % 183.16/183.18 [6819]~P23(f333(f333(f248(a1),f2(a1)),x68192))+~P23(f333(f333(f247(a1),f2(a1)),x68191))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f38(a1),x68191),x68192))) % 183.16/183.18 [6820]~P23(f333(f333(f247(a1),f2(a1)),x68202))+~P23(f333(f333(f247(a1),f2(a1)),x68201))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f38(a1),x68201),x68202))) % 183.16/183.18 [6885]E(x68851,f2(a1))+E(f44(a1,x68852,x68851),f2(a1))+E(f333(f333(f22(a1),f333(f78(a1),f333(f333(f38(a1),x68852),x68851))),f77(a1)),f333(f333(f38(a1),f333(f78(a1),x68852)),x68851)) % 183.16/183.18 [6940]P23(f333(f333(f248(a875),f2(a875)),x69401))+P23(f333(f333(f248(a875),f2(a875)),x69402))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f79(a875),x69402),x69401))) % 183.16/183.18 [6944]~P74(x69441)+P23(f333(f333(f248(x69441),f2(x69441)),x69442))+~P23(f333(f333(f248(x69441),f2(x69441)),f333(f333(f79(x69441),x69442),x69442))) % 183.16/183.18 [6945]~P74(x69451)+P23(f333(f333(f247(x69451),f2(x69451)),x69452))+~P23(f333(f333(f247(x69451),f2(x69451)),f333(f333(f79(x69451),x69452),x69452))) % 183.16/183.18 [7000]~P23(f333(f61(x70001),x70002))+P23(f333(f61(x70001),f256(f882(x70001,a870))))+~P23(f333(f61(x70001),f333(f78(f882(x70001,a870)),x70002))) % 183.16/183.18 [7063]P23(f333(f333(f247(a1),x70631),f2(a1)))+~P23(f333(f333(f248(a1),x70632),f2(a1)))+~P23(f333(f333(f247(a1),f2(a1)),f333(f333(f38(a1),x70631),x70632))) % 183.16/183.18 [7069]~P23(f333(f333(f248(a1),f2(a1)),x70691))+P23(f333(f333(f247(a1),x70691),x70692))+~P23(f333(f333(f248(a1),f2(a1)),f333(f333(f38(a1),x70692),x70691))) % 183.16/183.18 [7070]~P23(f333(f333(f247(a1),f2(a1)),x70702))+P23(f333(f333(f247(a1),x70701),x70702))+~P23(f333(f333(f248(a1),f2(a1)),f333(f333(f38(a1),x70702),x70701))) % 183.16/183.18 [7099]P23(f333(f333(f248(a1),f2(a1)),x70991))+~P23(f333(f333(f247(a1),f2(a1)),x70992))+~P23(f333(f333(f248(a1),f2(a1)),f333(f333(f38(a1),x70992),x70991))) % 183.16/183.18 [7100]P23(f333(f333(f247(a1),f2(a1)),x71001))+~P23(f333(f333(f248(a1),f2(a1)),x71002))+~P23(f333(f333(f247(a1),f2(a1)),f333(f333(f38(a1),x71001),x71002))) % 183.16/183.18 [7547]~P23(f333(f61(x75472),f256(f882(x75472,a870))))+~P23(f333(f61(x75471),f256(f882(x75471,a870))))+P23(f333(f61(f880(x75471,x75472)),f256(f882(f880(x75471,x75472),a870)))) % 183.16/183.18 [7548]~P23(f333(f61(x75482),f256(f882(x75482,a870))))+~P23(f333(f61(x75481),f256(f882(x75481,a870))))+P23(f333(f61(f881(x75481,x75482)),f256(f882(f881(x75481,x75482),a870)))) % 183.16/183.18 [7617]~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x76171))+~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x76172))+P23(f333(f333(f248(a875),x76171),f333(f333(f80(a875),x76172),x76171))) % 183.16/183.18 [7618]~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x76181))+~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x76182))+P23(f333(f333(f248(a875),x76181),f333(f333(f80(a875),x76181),x76182))) % 183.16/183.18 [7652]E(f333(f37(x76521),f256(f882(x76521,a870))),f333(a115,f2(a875)))+P23(f333(f61(x76522),f256(f882(x76522,a870))))+~P23(f333(f61(f882(x76522,x76521)),f256(f882(f882(x76522,x76521),a870)))) % 183.16/183.18 [7785]~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x77852))+~P23(f333(f333(f248(a875),f333(a115,f2(a875))),x77851))+P23(f333(f333(f248(a875),f333(a115,f2(a875))),f333(f333(f80(a875),x77851),x77852))) % 183.16/183.18 [7786]~P23(f333(f333(f247(a875),f333(a115,f2(a875))),x77861))+~P23(f333(f333(f247(a875),f333(a115,f2(a875))),x77862))+P23(f333(f333(f247(a875),f333(a115,f2(a875))),f333(f333(f80(a875),x77861),x77862))) % 183.16/183.18 [8482]E(x84821,f116(x84822))+~P23(f333(f138(x84822),x84821))+E(f179(x84822,f333(f333(f8(a870,a870,x84822),a328),f333(f333(f7(x84822,x84822,a870),a330),f145(x84822,x84821))),x84821),f117(x84822,x84821)) % 183.16/183.18 [8576]~P38(x85762)+~P38(x85761)+E(f333(f312(a875,a1,f103(a1)),f333(f333(f113(f882(a875,a870)),f333(f312(a1,a875,a107),x85761)),f333(f312(a1,a875,a107),x85762))),f333(f333(f113(f882(a1,a870)),x85761),x85762)) % 183.16/183.18 [8577]~P38(x85772)+~P38(x85771)+E(f333(f312(a875,a1,f103(a1)),f333(f333(f104(f882(a875,a870)),f333(f312(a1,a875,a107),x85771)),f333(f312(a1,a875,a107),x85772))),f333(f333(f104(f882(a1,a870)),x85771),x85772)) % 183.16/183.18 [9231]~P90(x92311)+~E(f333(f106(x92311),x92312),f77(x92311))+P30(x92311,f333(f106(x92311),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f78(a1),x92312)))) % 183.16/183.18 [9464]~P90(x94641)+E(f333(f106(x94641),x94642),f77(x94641))+~P30(x94641,f333(f106(x94641),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f78(a1),x94642)))) % 183.16/183.18 [10193]E(x101931,f2(a1))+E(x101932,f2(a1))+E(f333(f273(a1,a1,a1,a1,f33(a1),f333(f80(a1),f81(a1,x101932))),f333(f333(f333(f99(f881(a1,a1)),f333(f333(a330,f81(a1,x101931)),f81(a1,x101932))),f52(x101931,x101932)),f333(f333(f272(a1,a1,f881(a1,a1)),f333(f333(f18(a1,f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f882(f881(a1,a1),f881(a1,a1))),f882(f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),a1),f18(a1,f881(a1,a1),f881(a1,a1))),f333(f333(f8(f881(a1,a1),f882(a1,f882(f881(a1,a1),f881(a1,a1))),a1),f333(f7(a1,f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),f333(f333(f8(a870,f882(f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),a1),f99(f881(a1,a1))),f333(f333(f7(a1,a1,a870),a330),f2(a1))))),f333(f333(f7(a1,a1,f881(a1,a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f78(a1))),f2(a1))))),f333(f333(f7(a1,f882(a1,a1),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f881(a1,a1)),f882(f882(a1,a1),f882(a1,f881(a1,a1))),a1),f8(a1,f881(a1,a1),a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f333(f333(f7(a1,a1,a1),f333(f333(f8(a1,f882(a1,a1),a1),f22(a1)),f78(a1))),f77(a1))))),f333(f22(a1),f333(f74(a1),x101932))))),f52(x101931,x101932)))),f45(x101931,x101932)) % 183.16/183.18 [10194]E(x101941,f2(a1))+E(x101942,f2(a1))+E(f333(f273(a1,a1,a1,a1,f33(a1),f333(f80(a1),f81(a1,x101942))),f333(f333(f333(f99(f881(a1,a1)),f333(f333(a332,f333(f333(a331,f333(f333(f248(a1),f2(a1)),x101942)),f333(f333(f247(a1),f2(a1)),x101941))),f333(f333(a331,f333(f333(f248(a1),x101942),f2(a1))),f333(f333(f248(a1),x101941),f2(a1))))),f52(x101941,x101942)),f333(f333(f272(a1,a1,f881(a1,a1)),f333(f333(f18(a1,f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f882(f881(a1,a1),f881(a1,a1))),f882(f882(a1,f881(a1,a1)),f882(a1,f881(a1,a1))),a1),f18(a1,f881(a1,a1),f881(a1,a1))),f333(f333(f8(f881(a1,a1),f882(a1,f882(f881(a1,a1),f881(a1,a1))),a1),f333(f7(a1,f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),f333(f333(f8(a870,f882(f881(a1,a1),f882(f881(a1,a1),f881(a1,a1))),a1),f99(f881(a1,a1))),f333(f333(f7(a1,a1,a870),a330),f2(a1))))),f333(f333(f7(a1,a1,f881(a1,a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f78(a1))),f2(a1))))),f333(f333(f7(a1,f882(a1,a1),f882(a1,f881(a1,a1))),f333(f333(f8(f882(a1,f881(a1,a1)),f882(f882(a1,a1),f882(a1,f881(a1,a1))),a1),f8(a1,f881(a1,a1),a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f333(f333(f7(a1,a1,a1),f333(f333(f8(a1,f882(a1,a1),a1),f22(a1)),f78(a1))),f77(a1))))),f333(f22(a1),f333(f74(a1),x101942))))),f52(x101941,x101942)))),f45(x101941,x101942)) % 183.16/183.18 [10195]~P1(a5000)+P19(a872,x101951,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),a330),x101952),f202(x101952))),f196(f882(f874(a872),a870))))+~P19(a872,x101951,f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),f333(f333(f8(f882(a872,f882(a872,a870)),f882(a872,a870),a872),f333(f8(f882(a872,a870),a870,a872),f87(a872))),f333(f333(f8(f882(a872,a870),f882(a872,f882(a872,a870)),a872),f333(f7(a872,f882(a872,a870),f882(a872,a870)),f333(f333(f8(f882(a872,f882(a870,a870)),f882(f882(a872,a870),f882(a872,a870)),a872),f18(a872,a870,a870)),f333(f333(f8(f882(a872,a870),f882(a872,f882(a870,a870)),a872),f333(f8(a870,f882(a870,a870),a872),a336)),f202(x101952))))),a330))),x101952),a330)),f196(f882(f874(a872),a870)))) % 183.16/183.18 [5703]~P114(x57031)+~P90(x57031)+E(f333(f74(x57031),f333(f333(f258(x57031),f333(f106(x57031),a100)),x57032)),f77(x57031)) % 183.16/183.18 [6185]~P138(x61851)+~P23(f333(f333(f248(a1),x61852),f2(a1)))+E(f333(f78(x61851),f333(f103(x61851),f333(a107,f333(f78(a1),x61852)))),f333(f105(x61851),x61852)) % 183.16/183.18 [6385]P23(f333(f333(f247(a102),x63851),f77(a102)))+E(f333(f333(f79(a102),f77(a102)),f281(x63851,f333(f333(f38(a102),x63852),x63851))),f281(x63851,x63852))+P23(f333(f333(f248(a102),x63852),x63851)) % 183.16/183.18 [6985]~P89(x69851)+~P23(f333(f333(f335(x69851),x69852),f112(x69851)))+~E(f333(f333(f79(x69851),f333(f333(f79(x69851),f77(x69851)),x69852)),x69852),f2(x69851)) % 183.16/183.18 [7101]~P23(f333(f333(f248(a1),x71011),f2(a1)))+~P23(f333(f333(f247(a1),x71012),f2(a1)))+E(f333(f267(a1,a1),f333(a50,f46(f333(f78(a1),x71011),f333(f78(a1),x71012)))),f333(f333(f38(a1),x71011),x71012)) % 183.16/183.18 [7118]~P23(f333(f333(f248(a1),x71181),f2(a1)))+~P23(f333(f333(f247(a1),x71182),f2(a1)))+E(f333(f271(a1,a1),f333(a50,f46(f333(f78(a1),x71181),f333(f78(a1),x71182)))),f44(a1,x71181,x71182)) % 183.16/183.18 [7124]~P23(f333(f333(f248(a1),x71242),f2(a1)))+E(f333(f267(a1,a1),f333(a50,f49(f333(f78(a1),x71241),f333(f78(a1),x71242)))),f333(f333(f38(a1),x71241),x71242))+~P23(f333(f333(f248(a1),f2(a1)),x71241)) % 183.16/183.18 [7142]~P23(f333(f333(f248(a1),x71422),f2(a1)))+E(f333(f271(a1,a1),f333(a50,f49(f333(f78(a1),x71421),f333(f78(a1),x71422)))),f44(a1,x71421,x71422))+~P23(f333(f333(f248(a1),f2(a1)),x71421)) % 183.16/183.18 [7195]E(f333(f333(f38(a1),f333(f333(f258(a1),x71951),x71952)),x71951),f333(f333(f258(a1),x71951),f333(f333(f22(a875),x71952),f333(a115,f2(a875)))))+~P23(f333(f333(f248(a875),f2(a875)),x71952))+~P23(f333(f333(f248(a1),f2(a1)),x71951)) % 183.16/183.18 [7288]~P23(f333(f333(f248(a875),f2(a875)),x72881))+~P23(f333(f333(f248(a875),f2(a875)),x72882))+P23(f333(f333(f248(a875),f333(f333(f22(a875),x72881),x72882)),x72881)) % 183.16/183.18 [7289]~P23(f333(f333(f248(a875),f2(a875)),x72891))+~P23(f333(f333(f248(a875),f77(a875)),x72892))+P23(f333(f333(f248(a875),f333(f333(f38(a875),x72891),x72892)),x72891)) % 183.16/183.18 [7290]~P23(f333(f333(f248(a1),f2(a1)),x72901))+~P23(f333(f333(f248(a1),f77(a1)),x72902))+P23(f333(f333(f248(a1),f333(f333(f38(a1),x72901),x72902)),x72901)) % 183.16/183.18 [7438]E(x74381,f2(a875))+~E(x74382,f2(a1))+~P23(f333(f333(f248(a1),f2(a1)),f333(f333(f258(a1),f333(f74(a1),x74382)),x74381))) % 183.16/183.18 [7864]~E(x78642,f116(f876(x78641)))+E(f333(f197(f876(f876(x78641))),f182(x78641,x78642)),f2(a875))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x78641),a875),f197(f876(x78641))),x78642))) % 183.16/183.18 [8118]P23(f333(x81181,x81182))+~P23(f333(x81181,f333(a109,f591(x81181,x81182))))+~P23(f333(f333(f335(f882(f881(a875,a875),a870)),x81182),a101)) % 183.16/183.18 [8137]E(x81371,f116(f876(x81372)))+E(f333(f197(f876(x81372)),f333(f333(f166(f876(x81372)),x81371),f2(a875))),f333(f197(f876(f876(x81372))),f182(x81372,x81371)))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x81372),a875),f197(f876(x81372))),x81371))) % 183.16/183.18 [8838]~P23(f333(f61(x88381),f333(f253(x88381),x88382)))+~P23(f333(f61(x88381),f256(f882(x88381,a870))))+P23(f333(f61(x88381),f333(f253(x88381),f333(f333(f8(a870,a870,x88381),a328),x88382)))) % 183.16/183.18 [8901]E(f333(f333(f268(a875,a875),f333(a115,f333(f333(f38(a875),f333(f333(f22(a875),x89011),x89012)),x89012))),f44(a875,f333(f333(f22(a875),x89011),x89012),x89012)),f84(f881(a875,a875),f47(x89011,x89012)))+~P23(f333(f333(f248(a875),f2(a875)),x89012))+~P23(f333(f333(f247(a875),x89012),x89011)) % 183.16/183.18 [9194]~P23(f333(f61(x91941),f333(f253(x91941),x91942)))+P23(f333(f61(x91941),f256(f882(x91941,a870))))+~P23(f333(f61(x91941),f333(f253(x91941),f333(f333(f8(a870,a870,x91941),a328),x91942)))) % 183.16/183.18 [9915]P21(x99151,x99152)+~P37(x99151,f333(f267(f882(f881(x99151,x99151),a870),f882(f881(x99151,x99151),a870)),x99152))+~P23(f333(f333(f247(f882(f881(x99151,x99151),a870)),f333(f333(f290(x99151,x99151,x99151),f333(f267(f882(f881(x99151,x99151),a870),f882(f881(x99151,x99151),a870)),x99152)),f333(f271(f882(f881(x99151,x99151),a870),f882(f881(x99151,x99151),a870)),x99152))),f333(f267(f882(f881(x99151,x99151),a870),f882(f881(x99151,x99151),a870)),x99152))) % 183.16/183.18 [7221]~P23(f333(f333(f248(a875),f2(a875)),x72212))+P23(f333(f333(f248(a875),x72211),x72212))+E(f333(a115,f333(f333(f38(a875),f333(f333(f22(a875),x72211),x72212)),x72212)),f333(f333(f38(a875),x72211),x72212)) % 183.16/183.18 [7358]~P23(f333(f333(f248(a875),f2(a875)),x73582))+~P23(f333(f333(f247(a875),x73582),x73581))+E(f333(a115,f333(f333(f38(a875),f333(f333(f22(a875),x73581),x73582)),x73582)),f333(f333(f38(a875),x73581),x73582)) % 183.16/183.18 [8347]~P90(x83471)+~P89(x83471)+~P30(x83471,f333(f106(x83471),f333(f333(f22(a1),f333(f333(f79(a1),x83472),x83472)),a100))) % 183.16/183.18 [9101]E(x91011,f2(a875))+E(f333(f333(f272(a875,a875,f881(a875,a875)),f333(f333(f8(a875,f882(a875,f881(a875,a875)),a875),f268(a875,a875)),a115)),f84(f881(a875,a875),f47(f333(f333(f22(a875),x91012),x91011),x91011))),f84(f881(a875,a875),f47(x91012,x91011)))+P23(f333(f333(f248(a875),x91012),x91011)) % 183.16/183.18 [9527]P23(f333(x95272,f657(x95272,x95271)))+P23(f333(x95271,f657(x95272,x95271)))+E(f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95271)),f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95272))) % 183.16/183.18 [9531]~P23(f333(x95312,f657(x95312,x95311)))+~P23(f333(x95311,f657(x95312,x95311)))+E(f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95311)),f333(f253(a1),f333(f333(f18(a1,a870,a870),f333(f333(f8(a870,f882(a870,a870),a1),a331),f333(f247(a1),f2(a1)))),x95312))) % 183.16/183.18 [7575]~P59(x75751)+~P90(x75751)+E(f333(f333(f291(x75751),x75752),f333(f106(x75751),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))),x75752) % 183.16/183.18 [9230]~P90(x92301)+~E(f333(f106(x92301),x92302),f77(x92301))+P30(x92301,f333(f106(x92301),f333(f333(f79(a1),x92302),f333(f78(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9407]~P137(x94071)+~E(x94072,f77(x94071))+E(f333(f333(f258(x94071),x94072),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(x94071)) % 183.16/183.18 [9408]~P137(x94081)+~E(x94082,f2(x94081))+E(f333(f333(f258(x94081),x94082),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f2(x94081)) % 183.16/183.18 [9421]~P137(x94211)+~E(x94212,f333(f78(x94211),f77(x94211)))+E(f333(f333(f258(x94211),x94212),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(x94211)) % 183.16/183.18 [9465]~P90(x94651)+E(f333(f106(x94651),x94652),f77(x94651))+~P30(x94651,f333(f106(x94651),f333(f333(f79(a1),x94652),f333(f78(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.18 [9849]~P114(x98492)+E(x98491,f2(x98492))+P23(f333(f333(f248(x98492),f2(x98492)),f333(f333(f258(x98492),x98491),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.18 [9914]~P114(x99142)+~E(x99141,f2(x99142))+~P23(f333(f333(f248(x99142),f2(x99142)),f333(f333(f258(x99142),x99141),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.18 [9940]P23(f333(f333(f247(a1),x99401),f2(a1)))+P23(f333(f333(f248(a1),x99402),x99401))+E(f333(f43(x99401),f46(x99402,f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99401))),f46(x99402,x99401)) % 183.16/183.18 [9941]~P23(f333(f333(f248(a1),f2(a1)),x99411))+P23(f333(f333(f248(a1),x99412),x99411))+E(f333(f43(x99411),f46(x99412,f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99411))),f46(x99412,x99411)) % 183.16/183.18 [9942]P23(f333(f333(f247(a1),x99421),f2(a1)))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),x99422),x99421)))+E(f333(f43(x99421),f49(x99422,f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99421))),f49(x99422,x99421)) % 183.16/183.18 [9943]~P23(f333(f333(f248(a1),f2(a1)),x99431))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),x99432),x99431)))+E(f333(f43(x99431),f49(x99432,f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99431))),f49(x99432,x99431)) % 183.16/183.18 [9944]~P141(x99441)+~P23(f333(f333(f247(a1),f2(a1)),x99442))+E(f333(f103(x99441),f333(a107,f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x99442))),f333(f333(f79(x99441),f333(f103(x99441),f333(a107,x99442))),f333(f103(x99441),f333(a107,x99442)))) % 183.16/183.18 [5045]~P143(x50451,x50453,x50452)+~E(x50453,f2(a1))+P23(f333(x50451,x50452)) % 183.16/183.18 [5166]~P106(x51661)+~P28(x51661,x51663)+P28(x51661,f172(x51661,x51662,x51663)) % 183.16/183.18 [5167]~P106(x51671)+~P28(x51671,x51673)+P28(x51671,f179(x51671,x51672,x51673)) % 183.16/183.18 [4750]~P72(x47502)+~E(x47503,f333(f78(x47502),x47501))+E(x47501,f333(f78(x47502),x47503)) % 183.16/183.18 [4752]~P72(x47521)+~E(f333(f78(x47521),x47523),x47522)+E(f333(f78(x47521),x47522),x47523) % 183.16/183.18 [4828]~P106(x48283)+E(x48281,x48282)+~E(f333(f254(x48283),x48281),f333(f254(x48283),x48282)) % 183.16/183.18 [4829]~P100(x48293)+E(x48291,x48292)+~E(f333(f103(x48293),x48291),f333(f103(x48293),x48292)) % 183.16/183.18 [4830]~P106(x48303)+E(x48301,x48302)+~E(f333(f305(x48303),x48301),f333(f305(x48303),x48302)) % 183.16/183.18 [4831]~P106(x48313)+E(x48311,x48312)+~E(f333(f255(x48313),x48311),f333(f255(x48313),x48312)) % 183.16/183.18 [4832]~P106(x48323)+E(x48321,x48322)+~E(f333(f302(x48323),x48321),f333(f302(x48323),x48322)) % 183.16/183.18 [4833]~P72(x48333)+E(x48331,x48332)+~E(f333(f78(x48333),x48331),f333(f78(x48333),x48332)) % 183.16/183.18 [4834]~P93(x48343)+E(x48341,x48342)+~E(f333(f78(x48343),x48341),f333(f78(x48343),x48342)) % 183.16/183.18 [4835]~P89(x48353)+E(x48351,x48352)+~E(f333(f105(x48353),x48351),f333(f105(x48353),x48352)) % 183.16/183.18 [4934]~P57(x49341)+~P23(f333(x49342,x49343))+P23(f333(f57(x49341),x49342)) % 183.16/183.18 [4967]~P57(x49673)+P23(f333(x49671,x49672))+~P23(f333(f58(x49673),x49671)) % 183.16/183.18 [5064]~P144(x50641,x50642,x50643)+~E(x50642,f2(a1))+P23(f333(x50641,f2(a1))) % 183.16/183.18 [5102]~E(x51021,f2(a875))+E(f342(x51021,x51022,x51023),f196(f882(x51023,a870)))+~E(f333(f37(x51023),x51022),f333(a115,x51021)) % 183.16/183.18 [5249]~E(x52492,f2(a875))+E(f333(f267(a875,a875),x52491),f2(a875))+~P23(f333(f47(x52493,x52492),x52491)) % 183.16/183.18 [5295]P23(f333(x52951,x52952))+~E(x52953,f333(f103(a1),x52952))+~P23(f333(x52951,f333(a107,x52953))) % 183.16/183.18 [5766]~E(x57663,f2(a875))+~P23(f333(x57661,x57662))+P23(f333(x57661,f44(a875,x57662,x57663))) % 183.16/183.18 [5927]~P57(x59273)+~P6(x59273,x59271,x59272)+P23(f333(x59271,f719(x59272,x59271,x59273))) % 183.16/183.18 [5989]~P101(x59892)+~P101(x59891)+E(f132(x59891,x59892,f133(x59891,x59893),f133(x59892,x59893)),f133(f881(x59891,x59892),x59893)) % 183.16/183.18 [6167]~E(x61673,f2(a875))+P23(f333(x61671,x61672))+~P23(f333(x61671,f44(a875,x61672,x61673))) % 183.16/183.18 [6316]~P57(x63161)+P7(x63161,x63162,x63163)+~P23(f333(x63162,f722(x63163,x63162,x63161))) % 183.16/183.18 [6842]E(x68421,f2(a875))+~P23(f333(x68422,f468(x68421,x68423,x68422)))+P23(f333(x68422,f44(a875,x68423,x68421))) % 183.16/183.18 [6950]~P26(x69501)+~P23(f333(f333(f247(x69501),x69502),f863(x69503,x69502,x69501)))+P23(f333(f333(f247(x69501),x69502),f40(x69501,x69503))) % 183.16/183.18 [6952]~P23(f333(x69521,x69522))+~P23(f333(x69521,f468(x69523,x69522,x69521)))+P23(f333(x69521,f44(a875,x69522,x69523))) % 183.16/183.18 [7056]E(x70561,f116(x70562))+E(f333(f333(f152(x70562),f706(x70563,x70561,x70562)),f709(x70563,x70561,x70562)),x70561)+~P23(f333(f333(f335(f876(x70562)),x70561),f162(x70562,x70563))) % 183.16/183.18 [7087]~P138(x70871)+~P23(f333(f333(f335(x70871),x70872),f112(x70871)))+P23(f333(f333(f335(x70871),f333(f333(f258(x70871),x70872),x70873)),f112(x70871))) % 183.16/183.18 [7407]P37(x74071,x74072)+~P23(f333(f333(f335(x74071),x74073),f630(x74072,x74071)))+P23(f333(f333(f335(x74071),f656(x74072,x74071,x74073)),f630(x74072,x74071))) % 183.16/183.18 [7680]E(x76801,f116(x76802))+~P23(f333(f333(f335(f876(x76802)),x76801),f162(x76802,x76803)))+P23(f333(f333(f335(f876(x76802)),f709(x76803,x76801,x76802)),f162(x76802,x76803))) % 183.16/183.18 [7734]E(x77341,f2(a875))+E(f333(f333(f79(a875),f333(f333(f80(a875),x77341),f469(x77341,x77342,x77343))),f468(x77341,x77342,x77343)),x77342)+P23(f333(x77343,f44(a875,x77342,x77341))) % 183.16/183.18 [7780]~P23(f333(x77803,x77802))+E(f333(f333(f79(a875),f333(f333(f80(a875),x77801),f469(x77801,x77802,x77803))),f468(x77801,x77802,x77803)),x77802)+P23(f333(x77803,f44(a875,x77802,x77801))) % 183.16/183.18 [7920]P23(f333(f333(f248(a1),x79201),f461(x79202,x79203,x79201)))+P23(f333(f333(x79203,f333(f333(f38(a1),x79202),x79201)),f44(a1,x79202,x79201)))+~P23(f333(f333(f248(a1),x79201),f2(a1))) % 183.16/183.18 [8199]P23(f333(f333(x81992,f333(f333(f38(a1),x81991),x81993)),f44(a1,x81991,x81993)))+~P23(f333(f333(f248(a1),x81993),f2(a1)))+P23(f333(f333(f247(a1),f461(x81991,x81992,x81993)),f2(a1))) % 183.16/183.18 [8380]E(f333(f333(f79(a1),f333(f333(f80(a1),x83801),f462(x83802,x83803,x83801))),f461(x83802,x83803,x83801)),x83802)+P23(f333(f333(x83803,f333(f333(f38(a1),x83802),x83801)),f44(a1,x83802,x83801)))+~P23(f333(f333(f248(a1),x83801),f2(a1))) % 183.16/183.18 [8622]~P23(f333(f333(x86221,f462(x86222,x86221,x86223)),f461(x86222,x86221,x86223)))+P23(f333(f333(x86221,f333(f333(f38(a1),x86222),x86223)),f44(a1,x86222,x86223)))+~P23(f333(f333(f248(a1),x86223),f2(a1))) % 183.16/183.18 [8848]~P106(x88481)+~P28(x88481,x88483)+P28(x88481,f150(x88481,x88481,f5(x88481),x88482,x88483)) % 183.16/183.18 [9356]~P122(x93562)+E(x93561,f2(x93562))+~P23(f333(f333(f247(x93562),f333(f333(f79(x93562),f333(f333(f80(x93562),x93563),x93563)),f333(f333(f80(x93562),x93561),x93561))),f2(x93562))) % 183.16/183.18 [9357]~P122(x93572)+E(x93571,f2(x93572))+~P23(f333(f333(f247(x93572),f333(f333(f79(x93572),f333(f333(f80(x93572),x93571),x93571)),f333(f333(f80(x93572),x93573),x93573))),f2(x93572))) % 183.16/183.18 [10131]~P114(x101311)+~P23(f333(f333(f248(x101311),x101312),f2(x101311)))+P23(f333(f333(f248(x101311),f333(f333(f258(x101311),x101312),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x101313)))),f2(x101311))) % 183.16/183.18 [10139]~P114(x101392)+E(x101391,f2(x101392))+~P23(f333(f333(f247(x101392),f333(f333(f79(x101392),f333(f333(f258(x101392),x101393),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101392),x101391),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f2(x101392))) % 183.16/183.18 [10140]~P114(x101402)+E(x101401,f2(x101402))+~P23(f333(f333(f247(x101402),f333(f333(f79(x101402),f333(f333(f258(x101402),x101401),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101402),x101403),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f2(x101402))) % 183.16/183.18 [4784]~E(x47842,x47843)+~P65(x47841)+E(f333(f333(f22(x47841),x47842),x47843),f2(x47841)) % 183.16/183.18 [4785]~E(x47852,x47853)+~P72(x47851)+E(f333(f333(f22(x47851),x47852),x47853),f2(x47851)) % 183.16/183.18 [4798]~P139(x47981)+~E(x47983,f2(x47981))+E(f333(f333(f79(x47981),x47982),x47983),x47982) % 183.16/183.18 [4815]~P136(x48151)+~E(x48153,f2(x48151))+E(f333(f333(f80(x48151),x48152),x48153),f2(x48151)) % 183.16/183.18 [4816]~P136(x48161)+~E(x48162,f2(x48161))+E(f333(f333(f80(x48161),x48162),x48163),f2(x48161)) % 183.16/183.18 [4837]~E(x48373,f116(x48371))+~E(x48372,f116(x48371))+E(f333(f333(f135(x48371),x48372),x48373),f116(x48371)) % 183.16/183.18 [4924]~P139(x49242)+E(x49241,f2(x49242))+~E(f333(f333(f79(x49242),x49243),x49241),x49243) % 183.16/183.18 [4925]~P72(x49251)+~E(x49252,f333(f78(x49251),x49253))+E(f333(f333(f79(x49251),x49252),x49253),f2(x49251)) % 183.16/183.18 [4932]E(x49321,f116(x49322))+E(x49323,f2(a875))+~E(f333(f333(f177(x49322),x49323),x49321),f116(x49322)) % 183.16/183.18 [4938]~P65(x49383)+E(x49381,x49382)+~E(f333(f333(f22(x49383),x49381),x49382),f2(x49383)) % 183.16/183.18 [4939]~P72(x49393)+E(x49391,x49392)+~E(f333(f333(f22(x49393),x49391),x49392),f2(x49393)) % 183.16/183.18 [4948]~P137(x49482)+E(x49481,f2(x49482))+~E(f333(f333(f258(x49482),x49481),x49483),f2(x49482)) % 183.16/183.18 [4949]~P63(x49492)+E(x49491,f196(x49492))+~E(f333(f333(f113(x49492),x49493),x49491),f196(x49492)) % 183.16/183.18 [4950]~P63(x49502)+E(x49501,f196(x49502))+~E(f333(f333(f113(x49502),x49501),x49503),f196(x49502)) % 183.16/183.18 [4951]~P97(x49512)+E(x49511,f256(x49512))+~E(f333(f333(f104(x49512),x49513),x49511),f256(x49512)) % 183.16/183.18 [4952]~P97(x49522)+E(x49521,f256(x49522))+~E(f333(f333(f104(x49522),x49521),x49523),f256(x49522)) % 183.16/183.18 [5018]~P72(x50182)+E(x50181,f333(f78(x50182),x50183))+~E(f333(f333(f79(x50182),x50181),x50183),f2(x50182)) % 183.16/183.18 [5019]~P72(x50191)+E(f333(f78(x50191),x50192),x50193)+~E(f333(f333(f79(x50191),x50192),x50193),f2(x50191)) % 183.16/183.18 [5021]~E(x50212,x50213)+~P105(x50211)+P23(f333(f333(f247(x50211),x50212),x50213)) % 183.16/183.18 [5023]~E(x50232,x50233)+~P108(x50231)+P23(f333(f333(f247(x50231),x50232),x50233)) % 183.16/183.18 [5024]~E(x50242,x50243)+~P92(x50241)+P23(f333(f333(f90(x50241),x50242),x50243)) % 183.16/183.18 [5118]~P116(x51181)+~E(x51182,f333(f78(x51181),x51183))+E(f333(f333(f80(x51181),x51182),x51182),f333(f333(f80(x51181),x51183),x51183)) % 183.16/183.18 [5126]~P106(x51261)+~P28(x51261,x51263)+P28(x51261,f333(f333(f177(x51261),x51262),x51263)) % 183.16/183.18 [5127]~P106(x51271)+~P28(x51271,x51273)+P28(x51271,f333(f333(f139(x51271),x51272),x51273)) % 183.16/183.18 [5164]E(x51641,x51642)+E(x51643,f2(a875))+~E(f333(f333(f80(a875),x51643),x51641),f333(f333(f80(a875),x51643),x51642)) % 183.16/183.18 [5165]E(x51651,x51652)+E(x51653,f2(a875))+~E(f333(f333(f80(a875),x51651),x51653),f333(f333(f80(a875),x51652),x51653)) % 183.16/183.18 [5240]~E(x52402,x52403)+~P108(x52401)+E(f304(x52401,x52402,x52403),f333(f333(f311(x52401),x52402),f196(f882(x52401,a870)))) % 183.16/183.18 [5282]E(x52821,x52822)+~P92(x52823)+~P23(f333(f333(f90(x52823),x52821),x52822)) % 183.16/183.18 [5293]~E(x52931,x52932)+~P106(x52933)+~P23(f333(f333(f248(x52933),x52931),x52932)) % 183.16/183.18 [5294]~E(x52941,x52942)+~P108(x52943)+~P23(f333(f333(f248(x52943),x52941),x52942)) % 183.16/183.18 [5304]~P108(x53041)+E(f333(f303(x53041,x53042),x53043),f196(f882(x53041,a870)))+P23(f333(f333(f248(x53041),x53042),x53043)) % 183.16/183.18 [5351]~P108(x53511)+E(f306(x53511,x53512,x53513),f196(f882(x53511,a870)))+P23(f333(f333(f248(x53511),x53512),x53513)) % 183.16/183.18 [5352]~P108(x53521)+E(f304(x53521,x53522,x53523),f196(f882(x53521,a870)))+P23(f333(f333(f247(x53521),x53522),x53523)) % 183.16/183.18 [5353]~P108(x53531)+E(f196(f882(x53531,a870)),f306(x53531,x53532,x53533))+P23(f333(f333(f248(x53531),x53532),x53533)) % 183.16/183.18 [5354]~P108(x53541)+E(f196(f882(x53541,a870)),f304(x53541,x53542,x53543))+P23(f333(f333(f247(x53541),x53542),x53543)) % 183.16/183.18 [5362]~P98(x53621)+~E(f333(f333(f113(x53621),x53622),x53623),x53623)+P23(f333(f333(f247(x53621),x53622),x53623)) % 183.16/183.18 [5363]~P99(x53631)+~E(f333(f333(f104(x53631),x53632),x53633),x53632)+P23(f333(f333(f247(x53631),x53632),x53633)) % 183.16/183.18 [5364]~P106(x53641)+~E(f333(f333(f245(x53641),x53642),x53643),x53642)+P23(f333(f333(f247(x53641),x53642),x53643)) % 183.16/183.18 [5365]~P106(x53651)+~E(f333(f333(f246(x53651),x53652),x53653),x53653)+P23(f333(f333(f247(x53651),x53652),x53653)) % 183.16/183.18 [5385]~P106(x53851)+P28(x53851,x53852)+~P28(x53851,f333(f333(f152(x53851),x53853),x53852)) % 183.16/183.18 [5386]~P106(x53861)+P28(x53861,x53862)+~P28(x53861,f333(f333(f135(x53861),x53863),x53862)) % 183.16/183.18 [5387]~P106(x53871)+P28(x53871,x53872)+~P28(x53871,f333(f333(f135(x53871),x53872),x53873)) % 183.16/183.18 [5455]~P106(x54551)+P23(f333(f333(f247(x54551),x54553),x54552))+P23(f333(f333(f248(x54551),x54552),x54553)) % 183.16/183.18 [5457]~P106(x54571)+P23(f333(f333(f247(x54571),x54573),x54572))+P23(f333(f333(f247(x54571),x54572),x54573)) % 183.16/183.18 [5495]~P98(x54951)+E(f333(f333(f113(x54951),x54952),x54953),x54952)+~P23(f333(f333(f247(x54951),x54953),x54952)) % 183.16/183.18 [5497]~P98(x54971)+E(f333(f333(f113(x54971),x54972),x54973),x54973)+~P23(f333(f333(f247(x54971),x54972),x54973)) % 183.16/183.18 [5498]~P99(x54981)+E(f333(f333(f104(x54981),x54982),x54983),x54983)+~P23(f333(f333(f247(x54981),x54983),x54982)) % 183.16/183.18 [5500]~P99(x55001)+E(f333(f333(f104(x55001),x55002),x55003),x55002)+~P23(f333(f333(f247(x55001),x55002),x55003)) % 183.16/183.18 [5501]~P106(x55011)+E(f333(f333(f245(x55011),x55012),x55013),x55013)+~P23(f333(f333(f247(x55011),x55013),x55012)) % 183.16/183.18 [5503]~P106(x55031)+E(f333(f333(f245(x55031),x55032),x55033),x55032)+~P23(f333(f333(f247(x55031),x55032),x55033)) % 183.16/183.18 [5504]~P106(x55041)+E(f333(f333(f246(x55041),x55042),x55043),x55042)+~P23(f333(f333(f247(x55041),x55043),x55042)) % 183.16/183.18 [5506]~P106(x55061)+E(f333(f333(f246(x55061),x55062),x55063),x55063)+~P23(f333(f333(f247(x55061),x55062),x55063)) % 183.16/183.18 [5513]~P117(x55132)+E(x55131,f2(x55132))+E(f333(f333(f291(x55132),f333(f78(x55132),x55133)),f333(f78(x55132),x55131)),f333(f333(f291(x55132),x55133),x55131)) % 183.16/183.18 [5560]~P108(x55601)+E(f333(f303(x55601,x55602),x55603),f196(f882(x55601,a870)))+~P23(f333(f333(f247(x55601),x55603),x55602)) % 183.16/183.18 [5592]~P108(x55921)+E(f307(x55921,x55922,x55923),f196(f882(x55921,a870)))+~P23(f333(f333(f247(x55921),x55923),x55922)) % 183.16/183.18 [5593]~P108(x55931)+E(f306(x55931,x55932,x55933),f196(f882(x55931,a870)))+~P23(f333(f333(f247(x55931),x55933),x55932)) % 183.16/183.18 [5594]~P108(x55941)+E(f304(x55941,x55942,x55943),f196(f882(x55941,a870)))+~P23(f333(f333(f248(x55941),x55943),x55942)) % 183.16/183.18 [5645]~E(f333(f333(f22(a875),x56451),x56453),x56452)+E(x56451,f333(f333(f79(a875),x56452),x56453))+~P23(f333(f333(f247(a875),x56453),x56451)) % 183.16/183.18 [5646]~E(x56461,f333(f333(f79(a875),x56463),x56462))+E(f333(f333(f22(a875),x56461),x56462),x56463)+~P23(f333(f333(f247(a875),x56462),x56461)) % 183.16/183.18 [5692]~P23(f333(x56921,x56923))+P23(f333(x56921,f383(x56921,x56922)))+~P23(f333(f333(f248(a875),x56923),x56922)) % 183.16/183.18 [5693]~P23(f333(x56931,x56933))+P23(f333(x56931,f408(x56931,x56932)))+~P23(f333(f333(f247(a875),x56933),x56932)) % 183.16/183.18 [5701]~P108(x57011)+~E(f333(f303(x57011,x57012),x57013),f196(f882(x57011,a870)))+~P23(f333(f333(f248(x57011),x57012),x57013)) % 183.16/183.18 [5706]~P105(x57061)+~P23(f333(f333(f248(x57061),x57062),x57063))+P23(f333(f333(f247(x57061),x57062),x57063)) % 183.16/183.18 [5708]~P108(x57081)+~P23(f333(f333(f248(x57081),x57082),x57083))+P23(f333(f333(f247(x57081),x57082),x57083)) % 183.16/183.18 [5814]~P108(x58141)+~E(f306(x58141,x58142,x58143),f196(f882(x58141,a870)))+~P23(f333(f333(f248(x58141),x58142),x58143)) % 183.16/183.18 [5815]~P108(x58151)+~E(f304(x58151,x58152,x58153),f196(f882(x58151,a870)))+~P23(f333(f333(f247(x58151),x58152),x58153)) % 183.16/183.18 [5816]~P108(x58161)+~E(f196(f882(x58161,a870)),f306(x58161,x58162,x58163))+~P23(f333(f333(f248(x58161),x58162),x58163)) % 183.16/183.18 [5817]~P108(x58171)+~E(f196(f882(x58171,a870)),f304(x58171,x58172,x58173))+~P23(f333(f333(f247(x58171),x58172),x58173)) % 183.16/183.18 [5825]P23(f333(x58251,x58252))+~P23(f333(x58251,f388(x58251,x58253)))+~P23(f333(f333(f248(a875),x58252),x58253)) % 183.16/183.18 [5826]P23(f333(x58261,x58262))+~P23(f333(x58261,f411(x58261,x58263)))+~P23(f333(f333(f247(a875),x58262),x58263)) % 183.16/183.18 [5834]~E(x58341,f333(a115,x58343))+P23(f333(f333(f248(a875),x58341),f333(a115,x58342)))+~P23(f333(f333(f248(a875),x58343),x58342)) % 183.16/183.18 [5850]E(x58501,x58502)+~E(f333(f333(f80(a875),x58503),x58501),f333(f333(f80(a875),x58503),x58502))+~P23(f333(f333(f248(a875),f2(a875)),x58503)) % 183.16/183.18 [5906]E(f333(x59061,f359(x59061,x59062,x59063)),f77(a875))+~E(f333(f333(f6(x59063,a875),x59061),x59062),f77(a875))+~P23(f333(f61(x59063),x59062)) % 183.16/183.18 [5918]~P26(x59181)+P23(f333(f333(f247(x59181),x59182),f39(x59181,x59183)))+~P23(f333(f333(f335(x59181),x59182),x59183)) % 183.16/183.18 [5948]~P105(x59481)+~P23(f333(f333(f248(x59481),x59483),x59482))+~P23(f333(f333(f248(x59481),x59482),x59483)) % 183.16/183.18 [5949]~P105(x59491)+~P23(f333(f333(f247(x59491),x59493),x59492))+~P23(f333(f333(f248(x59491),x59492),x59493)) % 183.16/183.18 [5950]~P106(x59501)+~P23(f333(f333(f248(x59501),x59503),x59502))+~P23(f333(f333(f248(x59501),x59502),x59503)) % 183.16/183.18 [5953]~P106(x59531)+~P23(f333(f333(f247(x59531),x59533),x59532))+~P23(f333(f333(f248(x59531),x59532),x59533)) % 183.16/183.18 [5954]~P108(x59541)+~P23(f333(f333(f248(x59541),x59543),x59542))+~P23(f333(f333(f248(x59541),x59542),x59543)) % 183.16/183.18 [5983]~E(f333(x59832,f360(x59832,x59833,x59831)),f2(a875))+E(f333(f333(f6(x59831,a875),x59832),x59833),f2(a875))+~P23(f333(f61(x59831),x59833)) % 183.16/183.18 [5984]~E(f333(x59842,f807(x59842,x59843,x59841)),f77(a875))+E(f333(f333(f9(x59841,a875),x59842),x59843),f77(a875))+~P23(f333(f61(x59841),x59843)) % 183.16/183.18 [5998]~P107(x59981)+~P23(f333(f333(f248(x59981),x59983),x59982))+P23(f333(f333(f335(x59981),x59982),f333(f305(x59981),x59983))) % 183.16/183.18 [5999]~P107(x59991)+~P23(f333(f333(f247(x59991),x59993),x59992))+P23(f333(f333(f335(x59991),x59992),f333(f255(x59991),x59993))) % 183.16/183.18 [6000]~P107(x60001)+~P23(f333(f333(f248(x60001),x60002),x60003))+P23(f333(f333(f335(x60001),x60002),f333(f254(x60001),x60003))) % 183.16/183.18 [6001]~P107(x60011)+~P23(f333(f333(f247(x60011),x60012),x60013))+P23(f333(f333(f335(x60011),x60012),f333(f302(x60011),x60013))) % 183.16/183.18 [6013]E(f333(x60131,f361(x60131,x60132,x60133)),f333(a115,f2(a875)))+~E(f333(f333(f6(x60133,a875),x60131),x60132),f333(a115,f2(a875)))+~P23(f333(f61(x60133),x60132)) % 183.16/183.18 [6096]~P26(x60961)+~P23(f333(f333(f335(x60961),x60963),x60962))+P23(f333(f333(f247(x60961),f40(x60961,x60962)),x60963)) % 183.16/183.18 [6113]~P23(f333(f333(f247(a875),x61131),x61133))+P23(f333(f333(f247(a875),x61131),x61132))+~P23(f333(f333(f247(a875),x61133),x61132)) % 183.16/183.18 [6114]~P23(f333(f333(f247(a1),x61141),x61143))+P23(f333(f333(f247(a1),x61141),x61142))+~P23(f333(f333(f247(a1),x61143),x61142)) % 183.16/183.18 [6131]~P107(x61311)+~P23(f333(f333(f335(x61311),x61313),f333(f305(x61311),x61312)))+P23(f333(f333(f248(x61311),x61312),x61313)) % 183.16/183.18 [6132]~P107(x61321)+~P23(f333(f333(f335(x61321),x61322),f333(f254(x61321),x61323)))+P23(f333(f333(f248(x61321),x61322),x61323)) % 183.16/183.18 [6133]~P107(x61331)+~P23(f333(f333(f335(x61331),x61333),f333(f255(x61331),x61332)))+P23(f333(f333(f247(x61331),x61332),x61333)) % 183.16/183.18 [6134]~P107(x61341)+~P23(f333(f333(f335(x61341),x61342),f333(f302(x61341),x61343)))+P23(f333(f333(f247(x61341),x61342),x61343)) % 183.16/183.18 [6251]P23(f333(x62511,x62512))+~P23(f333(x62511,f596(x62511)))+~P23(f333(f333(f335(x62513),x62512),f256(f882(x62513,a870)))) % 183.16/183.18 [6350]~P60(x63501)+P23(f333(f333(f248(x63501),f2(x63501)),f455(x63503,x63502,x63501)))+P23(f333(f333(f247(x63501),x63502),x63503)) % 183.16/183.18 [6351]~P61(x63511)+P23(f333(f333(f248(x63511),f2(x63511)),f808(x63513,x63512,x63511)))+P23(f333(f333(f247(x63511),x63512),x63513)) % 183.16/183.18 [6418]~P82(x64181)+~P23(f333(f333(f248(x64181),x64183),f333(f78(x64181),x64182)))+P23(f333(f333(f248(x64181),x64182),f333(f78(x64181),x64183))) % 183.16/183.18 [6420]~P82(x64201)+~P23(f333(f333(f247(x64201),x64203),f333(f78(x64201),x64202)))+P23(f333(f333(f247(x64201),x64202),f333(f78(x64201),x64203))) % 183.16/183.18 [6432]~P23(f333(f333(f248(a875),x64321),x64323))+~P23(f333(f333(f248(a875),x64323),x64322))+P23(f333(f333(f248(a875),f333(a115,x64321)),x64322)) % 183.16/183.18 [6458]~P114(x64581)+P23(f333(f333(f248(x64581),f333(f105(x64581),x64582)),f333(f105(x64581),x64583)))+~P23(f333(f333(f248(a1),x64582),x64583)) % 183.16/183.18 [6459]~P120(x64591)+P23(f333(f333(f248(x64591),f333(f103(x64591),x64592)),f333(f103(x64591),x64593)))+~P23(f333(f333(f248(a875),x64592),x64593)) % 183.16/183.18 [6460]~P120(x64601)+P23(f333(f333(f247(x64601),f333(f103(x64601),x64602)),f333(f103(x64601),x64603)))+~P23(f333(f333(f247(a875),x64602),x64603)) % 183.16/183.18 [6461]~P114(x64611)+P23(f333(f333(f247(x64611),f333(f105(x64611),x64612)),f333(f105(x64611),x64613)))+~P23(f333(f333(f247(a1),x64612),x64613)) % 183.16/183.18 [6467]~P106(x64671)+E(f333(f333(f113(f882(x64671,a870)),f333(f254(x64671),x64672)),f333(f303(x64671,x64672),x64673)),f333(f254(x64671),x64673))+~P23(f333(f333(f247(x64671),x64672),x64673)) % 183.16/183.18 [6496]~P82(x64961)+~P23(f333(f333(f248(x64961),x64963),x64962))+P23(f333(f333(f248(x64961),f333(f78(x64961),x64962)),f333(f78(x64961),x64963))) % 183.16/183.18 [6498]~P82(x64981)+~P23(f333(f333(f247(x64981),x64983),x64982))+P23(f333(f333(f247(x64981),f333(f78(x64981),x64982)),f333(f78(x64981),x64983))) % 183.16/183.18 [6500]~P93(x65001)+~P23(f333(f333(f247(x65001),x65003),x65002))+P23(f333(f333(f247(x65001),f333(f78(x65001),x65002)),f333(f78(x65001),x65003))) % 183.16/183.18 [6532]~P106(x65321)+E(f333(f333(f113(f882(x65321,a870)),f333(f254(x65321),x65322)),f304(x65321,x65322,x65323)),f333(f302(x65321),x65323))+~P23(f333(f333(f247(x65321),x65322),x65323)) % 183.16/183.18 [6533]~P106(x65331)+E(f333(f333(f113(f882(x65331,a870)),f333(f302(x65331),x65332)),f307(x65331,x65332,x65333)),f333(f254(x65331),x65333))+~P23(f333(f333(f248(x65331),x65332),x65333)) % 183.16/183.18 [6534]~P106(x65341)+E(f333(f333(f113(f882(x65341,a870)),f333(f302(x65341),x65342)),f306(x65341,x65342,x65343)),f333(f302(x65341),x65343))+~P23(f333(f333(f247(x65341),x65342),x65343)) % 183.16/183.18 [6569]~P106(x65691)+E(f333(f333(f113(f882(x65691,a870)),f333(f303(x65691,x65692),x65693)),f333(f255(x65691),x65693)),f333(f255(x65691),x65692))+~P23(f333(f333(f247(x65691),x65692),x65693)) % 183.16/183.18 [6724]~P106(x67241)+E(f333(f333(f113(f882(x67241,a870)),f307(x67241,x67242,x67243)),f333(f255(x67241),x67243)),f333(f305(x67241),x67242))+~P23(f333(f333(f248(x67241),x67242),x67243)) % 183.16/183.18 [6725]~P106(x67251)+E(f333(f333(f113(f882(x67251,a870)),f306(x67251,x67252,x67253)),f333(f305(x67251),x67253)),f333(f305(x67251),x67252))+~P23(f333(f333(f247(x67251),x67252),x67253)) % 183.16/183.18 [6726]~P106(x67261)+E(f333(f333(f113(f882(x67261,a870)),f304(x67261,x67262,x67263)),f333(f305(x67261),x67263)),f333(f255(x67261),x67262))+~P23(f333(f333(f247(x67261),x67262),x67263)) % 183.16/183.18 [6744]P23(f333(x67441,x67442))+~P23(f333(f333(f247(a875),x67442),x67443))+P23(f333(f333(f335(a875),f411(x67441,x67443)),f304(a875,f2(a875),x67443))) % 183.16/183.18 [6778]E(x67781,x67782)+~E(f333(f333(f166(x67783),x67781),f654(x67783,x67782,x67781)),f333(f333(f166(x67783),x67782),f654(x67783,x67782,x67781)))+~E(f333(f197(f876(x67783)),x67781),f333(f197(f876(x67783)),x67782)) % 183.16/183.18 [6783]~E(x67833,f333(f333(f38(a875),x67831),x67832))+~P23(f333(f333(f248(a875),f2(a875)),x67832))+P23(f333(f333(f248(a875),x67831),f333(f333(f80(a875),x67832),f333(a115,x67833)))) % 183.16/183.18 [6800]~P23(f333(x68001,x68003))+~P23(f333(f333(f247(a875),x68003),x68002))+P23(f333(f333(f335(a875),f408(x68001,x68002)),f304(a875,f2(a875),x68002))) % 183.16/183.18 [6839]~P23(f333(x68391,x68393))+P23(f333(x68391,f412(x68391,x68392)))+~P23(f333(f333(f335(a875),x68393),f304(a875,f2(a875),x68392))) % 183.16/183.18 [6859]~P120(x68593)+~P23(f333(f333(f248(x68593),f333(f103(x68593),x68591)),f333(f103(x68593),x68592)))+P23(f333(f333(f248(a875),x68591),x68592)) % 183.16/183.18 [6860]~P114(x68603)+~P23(f333(f333(f248(x68603),f333(f105(x68603),x68601)),f333(f105(x68603),x68602)))+P23(f333(f333(f248(a1),x68601),x68602)) % 183.16/183.18 [6861]~P120(x68613)+~P23(f333(f333(f247(x68613),f333(f103(x68613),x68611)),f333(f103(x68613),x68612)))+P23(f333(f333(f247(a875),x68611),x68612)) % 183.16/183.18 [6862]~P114(x68623)+~P23(f333(f333(f247(x68623),f333(f105(x68623),x68621)),f333(f105(x68623),x68622)))+P23(f333(f333(f247(a1),x68621),x68622)) % 183.16/183.18 [6879]~P120(x68791)+~P23(f333(f333(f248(x68791),f77(x68791)),x68792))+P23(f333(f333(f248(x68791),f77(x68791)),f333(f333(f258(x68791),x68792),f333(a115,x68793)))) % 183.16/183.18 [6881]~P82(x68811)+~P23(f333(f333(f248(x68811),f333(f78(x68811),x68813)),f333(f78(x68811),x68812)))+P23(f333(f333(f248(x68811),x68812),x68813)) % 183.16/183.18 [6882]~P82(x68821)+~P23(f333(f333(f247(x68821),f333(f78(x68821),x68823)),f333(f78(x68821),x68822)))+P23(f333(f333(f247(x68821),x68822),x68823)) % 183.16/183.18 [6883]~P93(x68831)+~P23(f333(f333(f247(x68831),f333(f78(x68831),x68833)),f333(f78(x68831),x68832)))+P23(f333(f333(f247(x68831),x68832),x68833)) % 183.16/183.18 [6909]P23(f333(x69091,x69092))+~P23(f333(x69091,f413(x69091,x69093)))+~P23(f333(f333(f335(a875),x69092),f304(a875,f2(a875),x69093))) % 183.16/183.18 [6928]~P60(x69281)+P23(f333(f333(f248(x69281),f455(x69283,x69282,x69281)),f77(x69281)))+P23(f333(f333(f247(x69281),x69282),x69283)) % 183.16/183.18 [6947]~E(f44(a875,x69473,x69472),f44(a875,x69471,x69472))+E(f333(f333(f79(a875),x69471),f333(f333(f80(a875),x69472),f518(x69471,x69472,x69473))),x69473)+~P23(f333(f333(f247(a875),x69471),x69473)) % 183.16/183.18 [6966]E(f333(x69661,f762(x69661,x69662,x69663)),f209(x69662))+~P23(f333(f61(x69663),f186(x69663,x69662,x69661)))+P23(f333(f61(x69663),f256(f882(x69663,a870)))) % 183.16/183.18 [7007]E(f333(f333(f6(x70071,a875),x70072),x70073),f2(a875))+~P23(f333(f61(x70071),x70073))+P23(f333(f333(f335(x70071),f360(x70072,x70073,x70071)),x70073)) % 183.16/183.18 [7008]E(f333(f333(f9(x70081,a875),x70082),x70083),f77(a875))+~P23(f333(f61(x70081),x70083))+P23(f333(f333(f335(x70081),f807(x70082,x70083,x70081)),x70083)) % 183.16/183.18 [7030]~P106(x70301)+~P23(f333(f333(f248(x70301),x70302),x70303))+P23(f333(f333(f248(f882(x70301,a870)),f333(f254(x70301),x70302)),f333(f254(x70301),x70303))) % 183.16/183.18 [7031]~P106(x70311)+~P23(f333(f333(f247(x70311),x70312),x70313))+P23(f333(f333(f247(f882(x70311,a870)),f333(f254(x70311),x70312)),f333(f254(x70311),x70313))) % 183.16/183.18 [7032]~P106(x70321)+~P23(f333(f333(f247(x70321),x70323),x70322))+P23(f333(f333(f247(f882(x70321,a870)),f333(f305(x70321),x70322)),f333(f305(x70321),x70323))) % 183.16/183.18 [7033]~P108(x70331)+~P23(f333(f333(f247(x70331),x70333),x70332))+P23(f333(f333(f247(f882(x70331,a870)),f333(f255(x70331),x70332)),f333(f255(x70331),x70333))) % 183.16/183.18 [7034]~P108(x70341)+~P23(f333(f333(f247(x70341),x70342),x70343))+P23(f333(f333(f247(f882(x70341,a870)),f333(f302(x70341),x70342)),f333(f302(x70341),x70343))) % 183.16/183.18 [7042]~P26(x70421)+P23(f333(f333(f247(x70421),x70422),f40(x70421,x70423)))+P23(f333(f333(f335(x70421),f863(x70423,x70422,x70421)),x70423)) % 183.16/183.18 [7048]~P82(x70481)+P23(f333(f333(f248(x70481),f333(f333(f22(x70481),x70482),x70483)),f2(x70481)))+~P23(f333(f333(f248(x70481),x70482),x70483)) % 183.16/183.18 [7049]~P82(x70491)+P23(f333(f333(f247(x70491),f333(f333(f22(x70491),x70492),x70493)),f2(x70491)))+~P23(f333(f333(f247(x70491),x70492),x70493)) % 183.16/183.18 [7091]P23(f333(x70911,x70912))+P23(f333(f333(f247(a875),f413(x70911,x70913)),x70913))+~P23(f333(f333(f335(a875),x70912),f304(a875,f2(a875),x70913))) % 183.16/183.18 [7131]~E(f333(f333(f6(x71311,a875),x71312),x71313),f77(a875))+~P23(f333(f61(x71311),x71313))+P23(f333(f333(f335(x71311),f359(x71312,x71313,x71311)),x71313)) % 183.16/183.18 [7132]~P23(f333(x71321,x71323))+P23(f333(f333(f247(a875),f412(x71321,x71322)),x71322))+~P23(f333(f333(f335(a875),x71323),f304(a875,f2(a875),x71322))) % 183.16/183.18 [7172]~P26(x71721)+P23(f333(f333(f335(x71721),f864(x71723,x71722,x71721)),x71722))+P23(f333(f333(f247(x71721),f39(x71721,x71722)),x71723)) % 183.16/183.18 [7203]~E(f333(f333(f6(x72031,a875),x72032),x72033),f333(a115,f2(a875)))+~P23(f333(f61(x72031),x72033))+P23(f333(f333(f335(x72031),f361(x72032,x72033,x72031)),x72033)) % 183.16/183.18 [7214]E(x72141,f2(a875))+P23(f333(x72142,f44(a875,x72143,x72141)))+P23(f333(f333(f248(a875),f468(x72141,x72143,x72142)),x72141)) % 183.16/183.18 [7319]~P23(f333(x73191,x73192))+P23(f333(x73191,f44(a875,x73192,x73193)))+P23(f333(f333(f248(a875),f468(x73193,x73192,x73191)),x73193)) % 183.16/183.18 [7442]E(x74421,f116(x74422))+~P23(f333(f333(f335(f876(x74422)),x74421),f162(x74422,x74423)))+P23(f333(f333(f335(x74422),f706(x74423,x74421,x74422)),x74423)) % 183.16/183.18 [7464]~P106(x74641)+E(f333(f333(f113(f882(x74641,a870)),f333(f333(f311(x74641),x74642),f196(f882(x74641,a870)))),f307(x74641,x74642,x74643)),f333(f303(x74641,x74642),x74643))+~P23(f333(f333(f248(x74641),x74642),x74643)) % 183.16/183.18 [7490]~P106(x74901)+E(f333(f333(f113(f882(x74901,a870)),f333(f333(f311(x74901),x74902),f196(f882(x74901,a870)))),f306(x74901,x74902,x74903)),f304(x74901,x74902,x74903))+~P23(f333(f333(f247(x74901),x74902),x74903)) % 183.16/183.18 [7597]~P106(x75971)+P23(f333(f333(f248(x75971),x75972),x75973))+~P23(f333(f333(f248(f882(x75971,a870)),f333(f254(x75971),x75972)),f333(f254(x75971),x75973))) % 183.16/183.18 [7598]~P106(x75981)+P23(f333(f333(f247(x75981),x75982),x75983))+~P23(f333(f333(f247(f882(x75981,a870)),f333(f305(x75981),x75983)),f333(f305(x75981),x75982))) % 183.16/183.18 [7599]~P108(x75991)+P23(f333(f333(f247(x75991),x75992),x75993))+~P23(f333(f333(f247(f882(x75991,a870)),f333(f255(x75991),x75993)),f333(f255(x75991),x75992))) % 183.16/183.18 [7600]~P106(x76001)+P23(f333(f333(f247(x76001),x76002),x76003))+~P23(f333(f333(f247(f882(x76001,a870)),f333(f254(x76001),x76002)),f333(f254(x76001),x76003))) % 183.16/183.18 [7601]~P108(x76011)+P23(f333(f333(f247(x76011),x76012),x76013))+~P23(f333(f333(f247(f882(x76011,a870)),f333(f302(x76011),x76012)),f333(f302(x76011),x76013))) % 183.16/183.18 [7624]~P82(x76241)+~P23(f333(f333(f248(x76241),f333(f333(f22(x76241),x76242),x76243)),f2(x76241)))+P23(f333(f333(f248(x76241),x76242),x76243)) % 183.16/183.18 [7625]~P82(x76251)+~P23(f333(f333(f247(x76251),f333(f333(f22(x76251),x76252),x76253)),f2(x76251)))+P23(f333(f333(f247(x76251),x76252),x76253)) % 183.16/183.18 [7787]E(x77871,f2(a875))+~E(f333(f143(a875,a875,f79(a875),x77872),x77873),f2(a875))+~P23(f333(f333(f335(a875),x77871),f333(f174(a875),x77873))) % 183.16/183.18 [7791]~P26(x77911)+~P23(f333(f333(f247(x77911),f864(x77913,x77912,x77911)),x77913))+P23(f333(f333(f247(x77911),f39(x77911,x77912)),x77913)) % 183.16/183.18 [7946]P23(f333(f333(f247(a1),f2(a1)),f465(x79461,x79462,x79463)))+P23(f333(f333(x79462,f333(f333(f38(a1),x79461),x79463)),f44(a1,x79461,x79463)))+~P23(f333(f333(f248(a1),f2(a1)),x79463)) % 183.16/183.18 [8041]E(x80411,x80412)+~E(f333(f197(f876(x80413)),x80411),f333(f197(f876(x80413)),x80412))+~P23(f333(f333(f272(x80413,x80413,a870),a330),f683(x80413,x80411,x80412))) % 183.16/183.18 [8109]~P37(x81092,x81093)+E(x81091,f196(f882(x81092,a870)))+~P23(f333(f333(f247(f882(x81092,a870)),x81091),f333(f287(x81092,x81092,x81093),x81091))) % 183.16/183.18 [8139]~P61(x81391)+~P23(f333(f333(f247(x81391),x81392),f333(f333(f79(x81391),x81393),f808(x81393,x81392,x81391))))+P23(f333(f333(f247(x81391),x81392),x81393)) % 183.16/183.18 [8180]P39(x81801,x81802,x81803)+P23(f333(f333(f335(x81801),f592(x81803,x81802,x81801)),x81802))+P23(f333(f333(f335(f881(x81801,x81801)),f593(x81803,x81802,x81801)),x81803)) % 183.16/183.18 [8203]P23(f333(f333(x82032,f333(f333(f38(a1),x82031),x82033)),f44(a1,x82031,x82033)))+~P23(f333(f333(f248(a1),f2(a1)),x82033))+P23(f333(f333(f248(a1),f465(x82031,x82032,x82033)),x82033)) % 183.16/183.18 [8227]E(f333(f312(a875,a875,f333(f333(f7(a875,a875,a875),f22(a875)),x82271)),f333(f303(a875,x82272),x82273)),f196(f882(a875,a870)))+P23(f333(f333(f248(a875),x82271),x82273))+P23(f333(f333(f248(a875),x82272),x82273)) % 183.16/183.18 [8333]E(f333(f312(a875,a875,f333(f333(f7(a875,a875,a875),f22(a875)),x83331)),f333(f303(a875,x83332),x83333)),f333(f333(f311(a875),f2(a875)),f196(f882(a875,a870))))+P23(f333(f333(f248(a875),x83331),x83333))+~P23(f333(f333(f248(a875),x83332),x83333)) % 183.16/183.18 [8350]~P106(x83501)+E(f150(x83501,x83501,f5(x83501),x83502,x83503),x83503)+~P23(f333(f333(f335(x83501),x83502),f333(f174(x83501),x83503))) % 183.16/183.18 [8364]P20(x83641,x83641,x83642,x83643)+~P23(f333(f61(x83641),x83643))+~P23(f333(f333(f247(f882(x83641,a870)),x83643),f333(f312(x83641,x83641,x83642),x83643))) % 183.16/183.18 [8387]E(f333(f333(f79(a1),f333(f333(f80(a1),x83871),f464(x83872,x83873,x83871))),f465(x83872,x83873,x83871)),x83872)+P23(f333(f333(x83873,f333(f333(f38(a1),x83872),x83871)),f44(a1,x83872,x83871)))+~P23(f333(f333(f248(a1),f2(a1)),x83871)) % 183.16/183.18 [8628]~P23(f333(f333(x86281,f464(x86282,x86281,x86283)),f465(x86282,x86281,x86283)))+P23(f333(f333(x86281,f333(f333(f38(a1),x86282),x86283)),f44(a1,x86282,x86283)))+~P23(f333(f333(f248(a1),f2(a1)),x86283)) % 183.16/183.18 [9494]~P23(f333(f61(x94941),x94942))+~P23(f333(f333(f335(x94941),x94943),x94942))+P23(f333(f333(f248(a875),f333(f37(x94941),f333(f333(f22(f882(x94941,a870)),x94942),f333(f333(f311(x94941),x94943),f196(f882(x94941,a870)))))),f333(f37(x94941),x94942))) % 183.16/183.18 [10092]P39(x100921,x100922,x100923)+~P23(f333(f333(f272(x100921,x100921,a870),f333(f333(f7(x100921,f882(x100921,a870),f882(x100921,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x100921,a870),f882(x100921,a870)),x100921),f8(a870,a870,x100921)),f333(f333(f8(a870,f882(a870,a870),x100921),a331),f333(f333(f7(x100921,f882(x100921,a870),a870),f335(x100921)),x100922)))),f333(f333(f7(x100921,f882(x100921,a870),a870),f335(x100921)),x100922))),f593(x100923,x100922,x100921)))+P23(f333(f333(f335(x100921),f592(x100923,x100922,x100921)),x100922)) % 183.16/183.18 [5474]~P117(x54742)+E(x54741,f2(x54742))+E(f333(f333(f291(x54742),x54743),f333(f78(x54742),x54741)),f333(f78(x54742),f333(f333(f291(x54742),x54743),x54741))) % 183.16/183.18 [5608]~E(x56083,f196(f882(x56081,a870)))+~E(x56082,f196(f882(x56081,a870)))+E(f333(f333(f113(f882(x56081,a870)),x56082),x56083),f196(f882(x56081,a870))) % 183.16/183.18 [5666]~E(x56663,f2(a875))+~P23(f333(x56661,f2(a875)))+P23(f333(x56661,f333(f333(f38(a875),x56662),x56663))) % 183.16/183.18 [5806]~P61(x58062)+E(x58061,f2(x58062))+E(f333(f333(f291(x58062),f333(f74(x58062),x58063)),f333(f74(x58062),x58061)),f333(f74(x58062),f333(f333(f291(x58062),x58063),x58061))) % 183.16/183.18 [5972]~P23(f333(f61(x59721),x59723))+E(f333(f37(x59721),f333(f333(f311(x59721),x59722),x59723)),f333(a115,f333(f37(x59721),x59723)))+P23(f333(f333(f335(x59721),x59722),x59723)) % 183.16/183.18 [6045]~E(x60452,f2(a875))+P23(f333(x60451,f2(a875)))+~P23(f333(x60451,f333(f333(f38(a875),x60453),x60452))) % 183.16/183.18 [6064]~P23(f333(f61(x60641),x60643))+E(f333(f37(x60641),f333(f333(f311(x60641),x60642),x60643)),f333(f37(x60641),x60643))+~P23(f333(f333(f335(x60641),x60642),x60643)) % 183.16/183.18 [6098]~P23(f333(f61(x60981),x60983))+E(f333(f37(x60981),f333(f333(f311(x60981),x60982),x60983)),f333(f333(f79(a875),f77(a875)),f333(f37(x60981),x60983)))+P23(f333(f333(f335(x60981),x60982),x60983)) % 183.16/183.18 [6213]E(f333(f333(f79(a875),x62131),f362(x62131,x62132,x62133)),x62132)+~P23(f333(x62133,f2(a875)))+P23(f333(x62133,f333(f333(f22(a875),x62132),x62131))) % 183.16/183.18 [6214]E(f333(f333(f79(a875),x62141),f363(x62141,x62142,x62143)),x62142)+~P23(f333(x62143,f2(a875)))+P23(f333(x62143,f333(f333(f22(a875),x62142),x62141))) % 183.16/183.18 [6261]~P26(x62611)+~P23(f333(f61(x62611),x62613))+E(f333(f333(f64(x62611,x62611,f113(x62611)),x62612),x62613),f333(f333(f113(x62611),x62612),f39(x62611,x62613))) % 183.16/183.18 [6262]~P26(x62621)+~P23(f333(f61(x62621),x62623))+E(f333(f333(f64(x62621,x62621,f104(x62621)),x62622),x62623),f333(f333(f104(x62621),x62622),f40(x62621,x62623))) % 183.16/183.18 [6268]~P90(x62681)+~E(f333(f106(x62681),x62682),f333(f106(x62681),x62683))+P30(x62681,f333(f106(x62681),f333(f333(f79(a1),x62682),f333(f78(a1),x62683)))) % 183.16/183.18 [6275]~P138(x62751)+E(f333(f333(f22(x62751),f333(f103(x62751),x62752)),f333(f103(x62751),x62753)),f333(f103(x62751),f333(f333(f22(a875),x62752),x62753)))+~P23(f333(f333(f247(a875),x62753),x62752)) % 183.16/183.18 [6361]E(f333(f333(f79(a875),x63611),f362(x63611,x63612,x63613)),x63612)+P23(f333(f333(f248(a875),x63612),x63611))+P23(f333(x63613,f333(f333(f22(a875),x63612),x63611))) % 183.16/183.18 [6362]E(f333(f333(f79(a875),x63621),f363(x63621,x63622,x63623)),x63622)+P23(f333(f333(f248(a875),x63622),x63621))+P23(f333(x63623,f333(f333(f22(a875),x63622),x63621))) % 183.16/183.18 [6377]~P114(x63771)+E(f333(f333(f80(x63771),f333(f74(x63771),x63772)),x63773),f333(f74(x63771),f333(f333(f80(x63771),x63772),x63773)))+~P23(f333(f333(f247(x63771),f2(x63771)),x63773)) % 183.16/183.18 [6378]~P60(x63781)+E(f333(f333(f291(x63781),f333(f74(x63781),x63782)),x63783),f333(f74(x63781),f333(f333(f291(x63781),x63782),x63783)))+~P23(f333(f333(f248(x63781),f2(x63781)),x63783)) % 183.16/183.18 [6386]~P62(x63861)+~P23(f333(f61(x63861),x63863))+E(f333(f333(f64(x63861,x63861,f113(x63861)),x63862),x63863),f13(x63861,f333(f333(f311(x63861),x63862),x63863))) % 183.16/183.18 [6387]~P62(x63871)+~P23(f333(f61(x63871),x63873))+E(f333(f333(f64(x63871,x63871,f104(x63871)),x63872),x63873),f10(x63871,f333(f333(f311(x63871),x63872),x63873))) % 183.16/183.18 [6388]~P106(x63881)+~P23(f333(f61(x63881),x63883))+E(f333(f333(f64(x63881,x63881,f245(x63881)),x63882),x63883),f14(x63881,f333(f333(f311(x63881),x63882),x63883))) % 183.16/183.18 [6389]~P106(x63891)+~P23(f333(f61(x63891),x63893))+E(f333(f333(f64(x63891,x63891,f246(x63891)),x63892),x63893),f15(x63891,f333(f333(f311(x63891),x63892),x63893))) % 183.16/183.18 [6434]E(x64341,f116(x64342))+~E(f182(x64342,x64343),f116(f876(x64342)))+~P23(f333(f333(f335(f876(x64342)),x64341),f333(f174(f876(x64342)),x64343))) % 183.16/183.18 [6475]~P23(f333(f138(x64751),x64753))+P23(f333(f333(f335(x64751),x64752),f333(f174(x64751),x64753)))+P23(f333(f138(x64751),f333(f333(f152(x64751),x64752),x64753))) % 183.16/183.18 [6486]~P94(x64861)+~P23(f333(f61(x64861),x64863))+E(f333(f63(x64861,f80(x64861)),f333(f333(f311(x64861),x64862),x64863)),f333(f333(f64(x64861,x64861,f80(x64861)),x64862),x64863)) % 183.16/183.18 [6508]~P106(x65081)+~P23(f333(f61(x65081),x65083))+E(f11(x65081,f245(x65081),f333(f333(f311(x65081),x65082),x65083)),f333(f333(f64(x65081,x65081,f245(x65081)),x65082),x65083)) % 183.16/183.18 [6509]~P106(x65091)+~P23(f333(f61(x65091),x65093))+E(f12(x65091,f246(x65091),f333(f333(f311(x65091),x65092),x65093)),f333(f333(f64(x65091,x65091,f246(x65091)),x65092),x65093)) % 183.16/183.18 [6511]P23(f333(x65111,f2(a875)))+~P23(f333(f333(f248(a875),x65112),x65113))+~P23(f333(x65111,f333(f333(f22(a875),x65112),x65113))) % 183.16/183.18 [6529]~P114(x65291)+P23(f333(f333(f248(x65291),x65292),x65293))+~P23(f333(f333(f248(x65291),f333(f74(x65291),x65292)),x65293)) % 183.16/183.18 [6531]~P83(x65311)+P23(f333(f333(f247(x65311),x65312),x65313))+~P23(f333(f333(f247(x65311),f333(f74(x65311),x65312)),x65313)) % 183.16/183.18 [6548]E(x65481,f116(x65482))+E(f333(f142(x65482),f333(f333(f139(x65482),x65483),x65481)),f333(f333(f166(x65482),x65481),x65483))+~P23(f333(f333(f248(a875),x65483),f333(f197(f876(x65482)),x65481))) % 183.16/183.18 [6600]~P23(f333(x66001,x66003))+P23(f333(x66001,f389(x66001,x66002)))+~P23(f333(f333(f335(a875),x66003),f333(f303(a875,f2(a875)),x66002))) % 183.16/183.18 [6622]P23(f333(x66221,x66222))+~P23(f333(f333(f248(a875),x66222),x66223))+P23(f333(f333(f335(a875),f388(x66221,x66223)),f333(f303(a875,f2(a875)),x66223))) % 183.16/183.18 [6638]~P120(x66381)+~P23(f333(f333(f248(x66381),f2(x66381)),x66382))+P23(f333(f333(f248(x66381),f2(x66381)),f333(f333(f258(x66381),x66382),x66383))) % 183.16/183.18 [6639]~P120(x66391)+~P23(f333(f333(f247(x66391),f77(x66391)),x66392))+P23(f333(f333(f247(x66391),f77(x66391)),f333(f333(f258(x66391),x66392),x66393))) % 183.16/183.18 [6641]~P120(x66411)+~P23(f333(f333(f247(x66411),f2(x66411)),x66412))+P23(f333(f333(f247(x66411),f2(x66411)),f333(f333(f258(x66411),x66412),x66413))) % 183.16/183.18 [6665]~P23(f333(x66651,x66653))+~P23(f333(f333(f248(a875),x66653),x66652))+P23(f333(f333(f335(a875),f383(x66651,x66652)),f333(f303(a875,f2(a875)),x66652))) % 183.16/183.18 [6672]P23(f333(f61(x66721),x66722))+~P23(f333(f61(x66721),x66723))+~P23(f333(f333(f247(f882(x66721,a870)),x66722),x66723)) % 183.16/183.18 [6680]P23(f333(x66801,x66802))+~P23(f333(x66801,f390(x66801,x66803)))+~P23(f333(f333(f335(a875),x66802),f333(f303(a875,f2(a875)),x66803))) % 183.16/183.18 [6691]E(x66911,f2(a875))+P23(f333(x66912,f391(x66911,x66913,x66912)))+~P23(f333(x66912,f333(f333(f38(a875),x66913),x66911))) % 183.16/183.18 [6699]~P122(x66992)+E(x66991,f2(x66992))+~E(f333(f333(f79(x66992),f333(f333(f80(x66992),x66993),x66993)),f333(f333(f80(x66992),x66991),x66991)),f2(x66992)) % 183.16/183.18 [6700]~P122(x67002)+E(x67001,f2(x67002))+~E(f333(f333(f79(x67002),f333(f333(f80(x67002),x67001),x67001)),f333(f333(f80(x67002),x67003),x67003)),f2(x67002)) % 183.16/183.18 [6745]E(x67451,f2(a875))+~P23(f333(x67452,f392(x67451,x67453,x67452)))+P23(f333(x67452,f333(f333(f38(a875),x67453),x67451))) % 183.16/183.18 [6750]~P106(x67501)+~P28(x67501,x67503)+P28(x67501,f333(f333(f149(x67501,x67501,f5(x67501)),x67502),x67503)) % 183.16/183.18 [6793]P23(f333(x67931,f391(x67932,x67933,x67931)))+P23(f333(x67931,f2(a875)))+~P23(f333(x67931,f333(f333(f38(a875),x67933),x67932))) % 183.16/183.18 [6799]~P90(x67991)+E(f333(f106(x67991),x67992),f333(f106(x67991),x67993))+~P30(x67991,f333(f106(x67991),f333(f333(f79(a1),x67992),f333(f78(a1),x67993)))) % 183.16/183.18 [6865]E(x68651,f2(a1))+E(x68652,f2(a1))+~P23(f333(f48(x68652,x68652),f333(f333(f268(a1,a1),x68653),x68651))) % 183.16/183.18 [6866]E(x68661,f77(a1))+E(x68662,f2(a1))+~P23(f333(f48(x68662,x68662),f333(f333(f268(a1,a1),x68661),x68663))) % 183.16/183.18 [6880]P23(f333(x68801,x68802))+P23(f333(f333(f248(a875),f390(x68801,x68803)),x68803))+~P23(f333(f333(f335(a875),x68802),f333(f303(a875,f2(a875)),x68803))) % 183.16/183.18 [6904]~P23(f333(x69041,f362(x69043,x69042,x69041)))+~P23(f333(x69041,f2(a875)))+P23(f333(x69041,f333(f333(f22(a875),x69042),x69043))) % 183.16/183.18 [6905]~P23(f333(x69051,f363(x69053,x69052,x69051)))+~P23(f333(x69051,f2(a875)))+P23(f333(x69051,f333(f333(f22(a875),x69052),x69053))) % 183.16/183.18 [6906]~P23(f333(x69061,f392(x69063,x69062,x69061)))+~P23(f333(x69061,f2(a875)))+P23(f333(x69061,f333(f333(f38(a875),x69062),x69063))) % 183.16/183.18 [6924]~P23(f333(x69241,x69243))+P23(f333(f333(f248(a875),f389(x69241,x69242)),x69242))+~P23(f333(f333(f335(a875),x69243),f333(f303(a875,f2(a875)),x69242))) % 183.16/183.18 [6925]E(f333(f333(f22(a875),f333(f333(f22(a875),x69251),x69252)),f333(f333(f22(a875),x69253),x69252)),f333(f333(f22(a875),x69251),x69253))+~P23(f333(f333(f247(a875),x69252),x69251))+~P23(f333(f333(f247(a875),x69252),x69253)) % 183.16/183.18 [6960]~P82(x69601)+~P23(f333(f333(f248(x69601),f333(f78(x69601),x69603)),x69602))+P23(f333(f333(f248(x69601),f333(f78(x69601),x69602)),x69603)) % 183.16/183.18 [6961]~P114(x69611)+~P23(f333(f333(f248(x69611),f333(f74(x69611),x69612)),x69613))+P23(f333(f333(f248(x69611),f333(f78(x69611),x69612)),x69613)) % 183.16/183.18 [6963]~P82(x69631)+~P23(f333(f333(f247(x69631),f333(f78(x69631),x69633)),x69632))+P23(f333(f333(f247(x69631),f333(f78(x69631),x69632)),x69633)) % 183.16/183.18 [6965]~P83(x69651)+~P23(f333(f333(f247(x69651),f333(f74(x69651),x69652)),x69653))+P23(f333(f333(f247(x69651),f333(f78(x69651),x69652)),x69653)) % 183.16/183.18 [7001]~P23(f333(x70013,f362(x70012,x70011,x70013)))+P23(f333(f333(f248(a875),x70011),x70012))+P23(f333(x70013,f333(f333(f22(a875),x70011),x70012))) % 183.16/183.18 [7002]~P23(f333(x70023,f363(x70022,x70021,x70023)))+P23(f333(f333(f248(a875),x70021),x70022))+P23(f333(x70023,f333(f333(f22(a875),x70021),x70022))) % 183.16/183.18 [7052]~E(f822(x70523,x70522,x70521),f823(x70523,x70522,x70521))+E(f333(f333(f104(f882(x70521,a870)),x70522),f39(f882(x70521,a870),x70523)),f196(f882(x70521,a870)))+P23(f333(f333(f335(f882(x70521,a870)),x70522),x70523)) % 183.16/183.18 [7061]~P23(f333(f61(x70611),x70613))+P23(f333(f61(x70611),f40(f882(x70611,a870),x70612)))+~P23(f333(f333(f335(f882(x70611,a870)),x70613),x70612)) % 183.16/183.18 [7120]~P106(x71201)+E(f333(f333(f113(f882(x71201,a870)),f333(f303(x71201,x71202),x71203)),f333(f333(f311(x71201),x71203),f196(f882(x71201,a870)))),f304(x71201,x71202,x71203))+~P23(f333(f333(f247(x71201),x71202),x71203)) % 183.16/183.18 [7121]E(x71211,f2(a875))+P23(f333(f333(f248(a875),f396(x71211,x71213,x71212)),x71211))+P23(f333(x71212,f333(f333(f38(a875),x71213),x71211))) % 183.16/183.18 [7156]E(x71561,x71562)+~P23(f333(f333(f247(f882(x71563,a870)),x71561),x71562))+P23(f333(f333(f248(f882(x71563,a870)),x71561),x71562)) % 183.16/183.18 [7169]E(x71691,x71692)+~E(f333(f197(f876(x71693)),x71691),f333(f197(f876(x71693)),x71692))+P23(f333(f333(f248(a875),f654(x71693,x71691,x71692)),f333(f197(f876(x71693)),x71692))) % 183.16/183.18 [7215]P3(x72151,x72152,x72153)+~E(f333(f266(x72151,x72151),x72153),x72152)+~E(f333(f333(f290(x72151,x72151,x72151),f333(f288(x72151,x72151),x72153)),x72153),x72153) % 183.16/183.18 [7287]~P23(f333(x72871,f2(a875)))+P23(f333(f333(f248(a875),f396(x72873,x72872,x72871)),x72873))+P23(f333(x72871,f333(f333(f38(a875),x72872),x72873))) % 183.16/183.18 [7296]~P106(x72961)+E(f333(f333(f113(f882(x72961,a870)),f307(x72961,x72962,x72963)),f333(f333(f311(x72961),x72963),f196(f882(x72961,a870)))),f306(x72961,x72962,x72963))+~P23(f333(f333(f248(x72961),x72962),x72963)) % 183.16/183.18 [7396]~P23(f333(f61(x73961),x73963))+P23(f333(f333(f248(a875),f333(f37(x73961),x73962)),f333(f37(x73961),x73963)))+~P23(f333(f333(f248(f882(x73961,a870)),x73962),x73963)) % 183.16/183.18 [7397]~P23(f333(f61(x73971),x73973))+P23(f333(f333(f247(a875),f333(f37(x73971),x73972)),f333(f37(x73971),x73973)))+~P23(f333(f333(f247(f882(x73971,a870)),x73972),x73973)) % 183.16/183.18 [7435]~P23(f333(x74353,x74352))+P23(f333(f333(f202(x74351),x74352),f847(x74352,x74351,x74353)))+~P23(f333(f333(f202(f31(x74353,x74351)),x74352),x74352)) % 183.16/183.18 [7535]E(x75351,x75352)+~P23(f333(f333(f247(f882(x75353,a870)),x75352),x75351))+~P23(f333(f333(f247(f882(x75353,a870)),x75351),x75352)) % 183.16/183.18 [7538]~P106(x75381)+P28(x75381,x75382)+~P28(x75381,f333(f333(f149(x75381,x75381,f5(x75381)),x75383),x75382)) % 183.16/183.18 [7604]~P23(f333(f333(f248(a875),x76043),x76042))+~P23(f333(f333(f248(a875),x76043),x76041))+P23(f333(f333(f248(a875),f333(f333(f22(a875),x76041),x76042)),f333(f333(f22(a875),x76041),x76043))) % 183.16/183.18 [7605]~P23(f333(f333(f248(a875),x76051),x76053))+~P23(f333(f333(f247(a875),x76052),x76051))+P23(f333(f333(f248(a875),f333(f333(f22(a875),x76051),x76052)),f333(f333(f22(a875),x76053),x76052))) % 183.16/183.18 [7622]~P23(f333(f333(f248(a1),x76222),f2(a1)))+~P23(f333(f333(f247(a1),x76223),x76221))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x76221),x76222)),f333(f333(f38(a1),x76223),x76222))) % 183.16/183.18 [7642]~P23(f333(f333(f248(a875),f2(a875)),x76422))+~P23(f333(f333(f248(a875),x76421),x76423))+P23(f333(f333(f248(a875),f333(f333(f80(a875),x76421),x76422)),f333(f333(f80(a875),x76423),x76422))) % 183.16/183.18 [7643]~P23(f333(f333(f248(a875),f2(a875)),x76431))+~P23(f333(f333(f248(a875),x76432),x76433))+P23(f333(f333(f248(a875),f333(f333(f80(a875),x76431),x76432)),f333(f333(f80(a875),x76431),x76433))) % 183.16/183.18 [7644]~P23(f333(f333(f248(a1),f2(a1)),x76441))+~P23(f333(f333(f248(a1),x76442),x76443))+P23(f333(f333(f248(a1),f333(f333(f80(a1),x76441),x76442)),f333(f333(f80(a1),x76441),x76443))) % 183.16/183.18 [7646]~P23(f333(f333(f248(a875),f2(a875)),x76463))+~P23(f333(f333(f247(a875),x76463),x76462))+P23(f333(f333(f247(a875),f333(f333(f38(a875),x76461),x76462)),f333(f333(f38(a875),x76461),x76463))) % 183.16/183.18 [7647]~P23(f333(f333(f248(a1),f2(a1)),x76472))+~P23(f333(f333(f247(a1),x76471),x76473))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x76471),x76472)),f333(f333(f38(a1),x76473),x76472))) % 183.16/183.18 [7698]E(x76981,f2(a875))+E(f333(f333(f79(a875),f333(f333(f80(a875),x76981),f392(x76981,x76982,x76983))),f396(x76981,x76982,x76983)),x76982)+P23(f333(x76983,f333(f333(f38(a875),x76982),x76981))) % 183.16/183.18 [7759]E(f333(f333(f79(a875),f333(f333(f80(a875),x77591),f392(x77591,x77592,x77593))),f396(x77591,x77592,x77593)),x77592)+~P23(f333(x77593,f2(a875)))+P23(f333(x77593,f333(f333(f38(a875),x77592),x77591))) % 183.16/183.18 [7778]~P23(f333(f61(x77781),x77783))+P23(f333(f333(f335(x77781),f368(x77782,x77783,x77781)),x77783))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f9(x77781,a875),x77782),x77783))) % 183.16/183.18 [7779]~P23(f333(f61(x77791),x77793))+P23(f333(f333(f335(x77791),f471(x77792,x77793,x77791)),x77793))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f9(x77791,a875),x77792),x77793))) % 183.16/183.18 [8074]E(x80741,f196(f882(x80742,a870)))+E(x80741,f333(f333(f311(x80742),x80743),f196(f882(x80742,a870))))+~P23(f333(f333(f247(f882(x80742,a870)),x80741),f333(f333(f311(x80742),x80743),f196(f882(x80742,a870))))) % 183.16/183.18 [8092]~P57(x80921)+P7(x80921,x80922,x80923)+P23(f333(f333(f335(f876(x80921)),f722(x80923,x80922,x80921)),f333(f174(f876(x80921)),f54(x80921,x80923,f55(x80921))))) % 183.16/183.18 [8111]~P23(f333(f333(f248(a875),f2(a875)),x81113))+P23(f333(f333(f248(a875),x81111),x81112))+~P23(f333(f333(f248(a875),f333(f333(f258(a875),x81113),x81111)),f333(f333(f258(a875),x81113),x81112))) % 183.16/183.18 [8113]~P23(f333(f333(f248(a875),f2(a875)),x81133))+P23(f333(f333(f247(a875),x81131),x81132))+~P23(f333(f333(f247(a875),f333(f333(f80(a875),x81133),x81131)),f333(f333(f80(a875),x81133),x81132))) % 183.16/183.18 [8114]~P23(f333(f333(f248(a875),f2(a875)),x81143))+P23(f333(f333(f247(a875),x81141),x81142))+~P23(f333(f333(f247(a875),f333(f333(f80(a875),x81141),x81143)),f333(f333(f80(a875),x81142),x81143))) % 183.16/183.18 [8141]~P57(x81411)+~P6(x81411,x81413,x81412)+P23(f333(f333(f335(f876(x81411)),f719(x81412,x81413,x81411)),f333(f174(f876(x81411)),f54(x81411,x81412,f55(x81411))))) % 183.16/183.18 [8149]~P23(f333(x81491,x81493))+P23(f333(f333(f202(f31(x81491,x81492)),f847(x81493,x81492,x81491)),x81493))+~P23(f333(f333(f202(f31(x81491,x81492)),x81493),x81493)) % 183.16/183.18 [8158]~E(f333(f333(f104(f882(x81581,a870)),f823(x81583,x81582,x81581)),f822(x81583,x81582,x81581)),f196(f882(x81581,a870)))+E(f333(f333(f104(f882(x81581,a870)),x81582),f39(f882(x81581,a870),x81583)),f196(f882(x81581,a870)))+P23(f333(f333(f335(f882(x81581,a870)),x81582),x81583)) % 183.16/183.18 [8175]E(x81751,f116(x81752))+~E(f333(f143(f876(x81752),f876(x81752),f135(x81752),f116(x81752)),x81753),f116(x81752))+~P23(f333(f333(f335(f876(x81752)),x81751),f333(f174(f876(x81752)),x81753))) % 183.16/183.18 [8232]E(x82321,f196(f882(f882(x82322,a870),a870)))+P23(f333(f333(f335(f882(x82322,a870)),f466(x82323,x82321,x82322)),x82321))+P23(f333(f333(f247(f882(x82322,a870)),f40(f882(x82322,a870),x82321)),x82323)) % 183.16/183.18 [8239]~P66(x82391)+~P73(x82391)+E(f333(f333(f6(a1,x82391),f333(f333(f8(a875,x82391,a1),x82392),a107)),f333(f312(a875,a1,f103(a1)),x82393)),f333(f333(f6(a875,x82391),x82392),x82393)) % 183.16/183.18 [8240]~P66(x82401)+~P73(x82401)+E(f333(f333(f9(a1,x82401),f333(f333(f8(a875,x82401,a1),x82402),a107)),f333(f312(a875,a1,f103(a1)),x82403)),f333(f333(f9(a875,x82401),x82402),x82403)) % 183.16/183.18 [8279]~P23(f333(f61(x82791),x82793))+~P23(f333(f333(f248(a875),f2(a875)),f333(x82792,f368(x82792,x82793,x82791))))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f9(x82791,a875),x82792),x82793))) % 183.16/183.18 [8280]~P23(f333(f61(x82801),x82803))+~P23(f333(f333(f248(a875),f2(a875)),f333(x82802,f471(x82802,x82803,x82801))))+P23(f333(f333(f248(a875),f2(a875)),f333(f333(f9(x82801,a875),x82802),x82803))) % 183.16/183.18 [8315]~P59(x83152)+E(x83151,f77(x83152))+E(f333(f333(f291(x83152),f333(f333(f22(x83152),f333(f333(f258(x83152),x83151),x83153)),f77(x83152))),f333(f333(f22(x83152),x83151),f77(x83152))),f333(f333(f6(a875,x83152),f333(f258(x83152),x83151)),f333(f303(a875,f2(a875)),x83153))) % 183.16/183.18 [8373]E(x83731,f2(a875))+~P23(f333(x83733,f333(f333(f38(a875),x83732),x83731)))+P23(f333(f333(f248(a875),x83732),f333(f333(f80(a875),x83731),f333(a115,f391(x83731,x83732,x83733))))) % 183.16/183.18 [8392]P23(f333(x83921,f2(a875)))+~P23(f333(x83921,f333(f333(f38(a875),x83922),x83923)))+P23(f333(f333(f248(a875),x83922),f333(f333(f80(a875),x83923),f333(a115,f391(x83923,x83922,x83921))))) % 183.16/183.18 [8434]E(x84341,f2(a875))+~P23(f333(x84343,f333(f333(f38(a875),x84342),x84341)))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x84341),f391(x84341,x84342,x84343))),x84342)) % 183.16/183.18 [8473]P23(f333(x84731,f2(a875)))+~P23(f333(x84731,f333(f333(f38(a875),x84733),x84732)))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x84732),f391(x84732,x84733,x84731))),x84733)) % 183.16/183.18 [8476]~P106(x84761)+E(f333(f333(f149(x84761,x84761,f5(x84761)),x84762),x84763),f150(x84761,x84761,f5(x84761),x84762,x84763))+P23(f333(f333(f335(x84761),x84762),f333(f174(x84761),x84763))) % 183.16/183.18 [8514]~E(f333(x85143,f602(x85142,x85143,x85141)),f333(x85143,f604(x85142,x85143,x85141)))+~P54(x85141,f333(x85143,f603(x85142,x85143,x85141)))+P54(x85141,f333(f333(f41(x85142,f882(x85141,f882(x85141,a870))),f256(f882(x85142,a870))),x85143)) % 183.16/183.18 [8522]E(x85221,f196(f882(f882(x85222,a870),a870)))+~P23(f333(f333(f247(f882(x85222,a870)),f466(x85223,x85221,x85222)),x85223))+P23(f333(f333(f247(f882(x85222,a870)),f40(f882(x85222,a870),x85221)),x85223)) % 183.16/183.18 [8579]~P61(x85791)+~P23(f333(f333(f248(x85791),x85792),x85793))+P23(f333(f333(f248(x85791),x85792),f333(f333(f291(x85791),f333(f333(f79(x85791),x85792),x85793)),f333(f333(f79(x85791),f77(x85791)),f77(x85791))))) % 183.16/183.18 [8634]~P23(f333(f333(x86341,f537(x86341,x86343,x86342)),f544(x86341,x86343,x86342)))+P23(f333(f333(x86341,x86342),x86343))+~P23(f333(f321(f881(a1,a1),a51),f333(f333(f268(a1,a1),x86342),x86343))) % 183.16/183.18 [8635]~P23(f333(f333(x86351,f545(x86351,x86353,x86352)),f546(x86351,x86353,x86352)))+P23(f333(f333(x86351,x86352),x86353))+~P23(f333(f321(f881(a1,a1),a56),f333(f333(f268(a1,a1),x86352),x86353))) % 183.16/183.18 [8636]~P23(f333(f333(x86361,f547(x86361,x86363,x86362)),f548(x86361,x86363,x86362)))+P23(f333(f333(x86361,x86362),x86363))+~P23(f333(f321(f881(a1,a1),a236),f333(f333(f268(a1,a1),x86362),x86363))) % 183.16/183.18 [8637]~P23(f333(f333(x86371,f550(x86371,x86373,x86372)),f551(x86371,x86373,x86372)))+P23(f333(f333(x86371,x86372),x86373))+~P23(f333(f321(f881(a875,a875),a231),f333(f333(f268(a875,a875),x86372),x86373))) % 183.16/183.18 [8638]~P23(f333(f333(x86381,f694(x86381,x86383,x86382)),f696(x86381,x86383,x86382)))+P23(f333(f333(x86381,x86382),x86383))+~P23(f333(f321(f881(a1,a1),a185),f333(f333(f268(a1,a1),x86382),x86383))) % 183.16/183.18 [8891]P23(f333(f333(x88911,x88912),x88913))+P23(f333(f321(f881(a875,a875),a231),f333(f333(f268(a875,a875),f550(x88911,x88913,x88912)),f551(x88911,x88913,x88912))))+~P23(f333(f321(f881(a875,a875),a231),f333(f333(f268(a875,a875),x88912),x88913))) % 183.16/183.18 [8892]P23(f333(f333(x88921,x88922),x88923))+P23(f333(f321(f881(a1,a1),a51),f333(f333(f268(a1,a1),f537(x88921,x88923,x88922)),f544(x88921,x88923,x88922))))+~P23(f333(f321(f881(a1,a1),a51),f333(f333(f268(a1,a1),x88922),x88923))) % 183.16/183.18 [8893]P23(f333(f333(x88931,x88932),x88933))+P23(f333(f321(f881(a1,a1),a56),f333(f333(f268(a1,a1),f545(x88931,x88933,x88932)),f546(x88931,x88933,x88932))))+~P23(f333(f321(f881(a1,a1),a56),f333(f333(f268(a1,a1),x88932),x88933))) % 183.16/183.18 [8894]P23(f333(f333(x88941,x88942),x88943))+P23(f333(f321(f881(a1,a1),a236),f333(f333(f268(a1,a1),f547(x88941,x88943,x88942)),f548(x88941,x88943,x88942))))+~P23(f333(f321(f881(a1,a1),a236),f333(f333(f268(a1,a1),x88942),x88943))) % 183.16/183.18 [8895]P23(f333(f333(x88951,x88952),x88953))+P23(f333(f321(f881(a1,a1),a185),f333(f333(f268(a1,a1),f694(x88951,x88953,x88952)),f696(x88951,x88953,x88952))))+~P23(f333(f321(f881(a1,a1),a185),f333(f333(f268(a1,a1),x88952),x88953))) % 183.16/183.18 [9241]~P23(f333(f61(x92411),x92413))+P23(f333(f333(f335(f881(f882(x92411,a870),f882(x92411,a870))),f333(f333(f268(f882(x92411,a870),f882(x92411,a870)),x92412),x92413)),f308(x92411)))+~P23(f333(f333(f248(f882(x92411,a870)),x92412),x92413)) % 183.16/183.18 [9312]~P54(x93121,f333(x93123,f603(x93122,x93123,x93121)))+P54(x93121,f333(f333(f41(x93122,f882(x93121,f882(x93121,a870))),f256(f882(x93122,a870))),x93123))+~E(f333(f333(f104(f882(x93121,a870)),f262(x93121,x93121,f333(x93123,f602(x93122,x93123,x93121)))),f263(x93121,x93121,f333(x93123,f604(x93122,x93123,x93121)))),f196(f882(x93121,a870))) % 183.16/183.18 [9383]~P22(a872,f196(f882(f874(a872),a870)),f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),x93831),x93832),x93833)),f196(f882(f874(a872),a870))))+~P19(a872,f196(f882(f874(a872),a870)),f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),a330),x93832),f202(x93832))),f196(f882(f874(a872),a870))))+P19(a872,f196(f882(f874(a872),a870)),f333(f333(f311(f874(a872)),f333(f333(f333(f91(a872),x93831),x93832),x93833)),f196(f882(f874(a872),a870)))) % 183.16/183.18 [9509]P39(x95091,x95092,x95093)+P23(f333(f333(f335(f881(x95091,x95091)),f593(x95093,x95092,x95091)),x95093))+~P23(f333(f333(f335(f881(x95091,x95091)),f333(f333(f268(x95091,x95091),f592(x95093,x95092,x95091)),f592(x95093,x95092,x95091))),x95093)) % 183.16/183.18 [10093]P39(x100931,x100932,x100933)+~P23(f333(f333(f272(x100931,x100931,a870),f333(f333(f7(x100931,f882(x100931,a870),f882(x100931,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x100931,a870),f882(x100931,a870)),x100931),f8(a870,a870,x100931)),f333(f333(f8(a870,f882(a870,a870),x100931),a331),f333(f333(f7(x100931,f882(x100931,a870),a870),f335(x100931)),x100932)))),f333(f333(f7(x100931,f882(x100931,a870),a870),f335(x100931)),x100932))),f593(x100933,x100932,x100931)))+~P23(f333(f333(f335(f881(x100931,x100931)),f333(f333(f268(x100931,x100931),f592(x100933,x100932,x100931)),f592(x100933,x100932,x100931))),x100933)) % 183.16/183.18 [5647]~P55(x56472)+E(x56471,f2(x56472))+E(f333(f333(f38(x56472),f333(f333(f80(x56472),x56473),x56471)),x56471),x56473) % 183.16/183.18 [5648]~P55(x56482)+E(x56481,f2(x56482))+E(f333(f333(f38(x56482),f333(f333(f80(x56482),x56481),x56483)),x56481),x56483) % 183.16/183.18 [6433]~P66(x64331)+~E(f333(x64332,f2(a875)),f2(x64331))+E(f333(f333(f6(a875,x64331),x64332),f333(f303(a875,f333(a115,f2(a875))),x64333)),f333(f333(f6(a875,x64331),x64332),f333(f303(a875,f2(a875)),x64333))) % 183.16/183.18 [6561]~P55(x65612)+E(x65611,f2(x65612))+E(f333(f333(f38(x65612),f333(f333(f79(x65612),x65613),x65611)),x65611),f333(f333(f79(x65612),f333(f333(f38(x65612),x65613),x65611)),f77(x65612))) % 183.16/183.18 [6562]~P55(x65622)+E(x65621,f2(x65622))+E(f333(f333(f38(x65622),f333(f333(f79(x65622),x65621),x65623)),x65621),f333(f333(f79(x65622),f333(f333(f38(x65622),x65623),x65621)),f77(x65622))) % 183.16/183.18 [6781]~P23(f333(x67813,f2(a1)))+P23(f333(f333(f247(a875),x67811),x67812))+P23(f333(x67813,f333(f103(a1),f333(f333(f22(a875),x67812),x67811)))) % 183.16/183.18 [6886]P23(f333(f333(f247(a875),x68862),x68861))+P23(f333(f333(f248(a875),x68861),x68862))+P23(f333(x68863,f333(f103(a1),f333(f333(f22(a875),x68861),x68862)))) % 183.16/183.18 [6958]E(f333(f333(f79(a875),f333(f106(a875),x69581)),f333(f333(f79(a875),f333(f106(a875),x69582)),x69583)),f333(f333(f79(a875),f333(f106(a875),x69581)),x69583))+P23(f333(a201,f333(f106(a1),x69581)))+~P23(f333(a201,f333(f106(a1),x69582))) % 183.16/183.18 [7039]~E(x70392,f333(f333(f38(a875),x70393),x70391))+~P23(f333(f333(f248(a875),f2(a875)),x70391))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x70391),x70392)),x70393)) % 183.16/183.18 [7153]~P23(f333(f61(x71531),x71533))+~P23(f333(f61(x71531),x71532))+P23(f333(f61(x71531),f333(f333(f113(f882(x71531,a870)),x71532),x71533))) % 183.16/183.18 [7448]~P106(x74481)+~P23(f333(f61(x74481),x74482))+E(f140(x74481,f333(f333(f22(f882(x74481,a870)),x74482),f333(f333(f311(x74481),x74483),f196(f882(x74481,a870))))),f172(x74481,x74483,f140(x74481,x74482))) % 183.16/183.18 [7514]P23(f333(x75141,f2(a1)))+~P23(f333(f333(f248(a875),x75142),x75143))+~P23(f333(x75141,f333(f103(a1),f333(f333(f22(a875),x75142),x75143)))) % 183.16/183.18 [7532]~P23(f333(f61(x75321),x75322))+E(f333(f37(x75321),f333(f333(f22(f882(x75321,a870)),x75322),f333(f333(f311(x75321),x75323),f196(f882(x75321,a870))))),f333(f37(x75321),x75322))+P23(f333(f333(f335(x75321),x75323),x75322)) % 183.16/183.18 [7662]~P120(x76621)+~P23(f333(f333(f248(x76621),f77(x76621)),x76622))+P23(f333(f333(f248(x76621),f77(x76621)),f333(f333(f80(x76621),x76622),f333(f333(f258(x76621),x76622),x76623)))) % 183.16/183.18 [7709]~P23(f333(f61(x77091),x77093))+E(f333(f333(f22(a875),f333(f37(x77091),x77092)),f333(f37(x77091),x77093)),f333(f37(x77091),f333(f333(f22(f882(x77091,a870)),x77092),x77093)))+~P23(f333(f333(f247(f882(x77091,a870)),x77093),x77092)) % 183.16/183.18 [7768]~P23(f333(f333(f247(a875),x77682),x77683))+~P23(f333(f333(f247(a875),x77681),f333(f333(f22(a875),x77683),x77682)))+P23(f333(f333(f247(a875),f333(f333(f79(a875),x77681),x77682)),x77683)) % 183.16/183.18 [7822]P23(f333(f61(x78221),x78222))+~P23(f333(f61(x78221),x78223))+~P23(f333(f61(x78221),f333(f333(f22(f882(x78221,a870)),x78222),x78223))) % 183.16/183.18 [7828]~P23(f333(f61(x78281),x78282))+E(f333(f37(x78281),f333(f333(f22(f882(x78281,a870)),x78282),f333(f333(f311(x78281),x78283),f196(f882(x78281,a870))))),f333(f333(f22(a875),f333(f37(x78281),x78282)),f77(a875)))+~P23(f333(f333(f335(x78281),x78283),x78282)) % 183.16/183.18 [7904]P54(x79041,x79042)+~P54(x79041,x79043)+~P23(f333(f333(f247(f882(x79041,f882(x79041,a870))),x79042),x79043)) % 183.16/183.18 [7945]~P23(f333(f333(f247(a875),x79453),x79452))+P23(f333(f333(f247(a875),x79451),f333(f333(f22(a875),x79452),x79453)))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),x79451),x79453)),x79452)) % 183.16/183.18 [7963]P37(x79631,x79632)+~P37(x79631,x79633)+~P23(f333(f333(f247(f882(f881(x79631,x79631),a870)),x79632),x79633)) % 183.16/183.18 [7964]P52(x79641,x79642)+~P52(x79641,x79643)+~P23(f333(f333(f247(f882(f881(x79641,x79641),a870)),x79642),x79643)) % 183.16/183.18 [8210]~P120(x82101)+~P23(f333(f333(f248(x82101),f77(x82101)),x82102))+P23(f333(f333(f248(x82101),f333(f333(f258(x82101),x82102),x82103)),f333(f333(f80(x82101),x82102),f333(f333(f258(x82101),x82102),x82103)))) % 183.16/183.18 [8299]~P23(f333(x82991,f2(a1)))+~P23(f333(x82991,f333(f333(f22(a1),f333(f103(a1),x82992)),f333(f103(a1),x82993))))+P23(f333(x82991,f333(f103(a1),f333(f333(f22(a875),x82992),x82993)))) % 183.16/183.18 [8312]~P23(f333(f333(f247(a875),x83123),x83122))+P23(f333(x83121,f333(f333(f22(a1),f333(f103(a1),x83122)),f333(f103(a1),x83123))))+~P23(f333(x83121,f333(f103(a1),f333(f333(f22(a875),x83122),x83123)))) % 183.16/183.18 [8330]P23(f333(f333(f248(a875),x83301),x83302))+~P23(f333(x83303,f333(f333(f22(a1),f333(f103(a1),x83301)),f333(f103(a1),x83302))))+P23(f333(x83303,f333(f103(a1),f333(f333(f22(a875),x83301),x83302)))) % 183.16/183.18 [8384]~P122(x83842)+E(x83841,f2(x83842))+P23(f333(f333(f248(x83842),f2(x83842)),f333(f333(f79(x83842),f333(f333(f80(x83842),x83843),x83843)),f333(f333(f80(x83842),x83841),x83841)))) % 183.16/183.18 [8385]~P122(x83852)+E(x83851,f2(x83852))+P23(f333(f333(f248(x83852),f2(x83852)),f333(f333(f79(x83852),f333(f333(f80(x83852),x83851),x83851)),f333(f333(f80(x83852),x83853),x83853)))) % 183.16/183.18 [8494]~P23(f333(f333(f248(a875),f2(a875)),x84941))+~P23(f333(f333(f248(a1),x84942),x84943))+P23(f333(f333(f248(a1),f333(f333(f80(a1),f333(f103(a1),x84941)),x84942)),f333(f333(f80(a1),f333(f103(a1),x84941)),x84943))) % 183.16/183.18 [8550]E(f333(f333(f104(f882(x85501,a870)),x85502),f39(f882(x85501,a870),x85503)),f196(f882(x85501,a870)))+P23(f333(f333(f335(f882(x85501,a870)),x85502),x85503))+P23(f333(f333(f335(f882(x85501,a870)),f823(x85503,x85502,x85501)),f333(f333(f311(f882(x85501,a870)),x85502),x85503))) % 183.16/183.18 [8551]E(f333(f333(f104(f882(x85511,a870)),x85512),f39(f882(x85511,a870),x85513)),f196(f882(x85511,a870)))+P23(f333(f333(f335(f882(x85511,a870)),x85512),x85513))+P23(f333(f333(f335(f882(x85511,a870)),f822(x85513,x85512,x85511)),f333(f333(f311(f882(x85511,a870)),x85512),x85513))) % 183.16/183.18 [8578]E(x85781,x85782)+~E(f333(f197(f876(x85783)),x85781),f333(f197(f876(x85783)),x85782))+P23(f333(f333(f335(f881(x85783,x85783)),f683(x85783,x85781,x85782)),f333(f174(f881(x85783,x85783)),f333(f333(f184(x85783,x85783),x85782),x85781)))) % 183.16/183.18 [8809]E(f309(x88091,x88092),f309(x88091,x88093))+~P23(f333(f333(f247(f882(f881(x88091,x88091),a870)),x88093),f309(x88091,x88092)))+~P23(f333(f333(f247(f882(f881(x88091,x88091),a870)),x88092),x88093)) % 183.16/183.18 [8869]~P39(x88691,f256(f882(x88691,a870)),x88693)+P23(f333(f333(f247(f882(f881(f876(x88691),f876(x88691)),a870)),f158(x88691,x88692)),f159(x88691,x88693)))+~P23(f333(f333(f247(f882(f881(x88691,x88691),a870)),x88692),x88693)) % 183.16/183.18 [9077]P37(x90771,x90772)+~P23(f333(f333(f335(x90771),x90773),f630(x90772,x90771)))+P23(f333(f333(f335(f881(x90771,x90771)),f333(f333(f268(x90771,x90771),f656(x90772,x90771,x90773)),x90773)),x90772)) % 183.16/183.18 [9111]~P23(f333(f61(x91111),x91112))+P23(f333(f61(f882(x91111,a870)),f333(f333(f60(x91111),x91112),x91113)))+~P23(f333(f333(f247(f882(f881(x91111,x91111),a870)),x91113),f333(f333(f270(x91111,x91111),x91112),f333(f16(f882(x91111,a870),x91111),x91112)))) % 183.16/183.18 [9146]P39(x91461,x91462,x91463)+P23(f333(f333(f335(x91461),f582(x91463,x91462,x91461)),x91462))+~P23(f333(f333(f247(f882(f881(x91461,x91461),a870)),x91463),f333(f333(f270(x91461,x91461),x91462),f333(f16(f882(x91461,a870),x91461),x91462)))) % 183.16/183.18 [9147]P39(x91471,x91472,x91473)+P23(f333(f333(f335(x91471),f590(x91472,x91473,x91471)),x91472))+~P23(f333(f333(f247(f882(f881(x91471,x91471),a870)),x91473),f333(f333(f270(x91471,x91471),x91472),f333(f16(f882(x91471,a870),x91471),x91472)))) % 183.16/183.18 [9182]~P61(x91821)+~P23(f333(f333(f248(x91821),x91822),x91823))+P23(f333(f333(f248(x91821),f333(f333(f291(x91821),f333(f333(f79(x91821),x91822),x91823)),f333(f333(f79(x91821),f77(x91821)),f77(x91821)))),x91823)) % 183.16/183.18 [9211]~P60(x92111)+P23(f333(f333(f247(x92111),x92112),x92113))+~P23(f333(f333(f247(x92111),f333(f333(f80(x92111),f455(x92113,x92112,x92111)),x92112)),x92113)) % 183.16/183.18 [9347]E(f333(f197(f876(f876(x93471))),f333(f137(f876(x93471),f333(f333(f8(a875,a870,f876(x93471)),f333(f248(a875),x93472)),f197(f876(x93471)))),f182(x93471,x93473))),f333(f197(f876(x93471)),f333(f333(f166(f876(x93471)),x93473),x93472)))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x93471),a875),f197(f876(x93471))),x93473)))+~P23(f333(f333(f248(a875),x93472),f333(f197(f876(f876(x93471))),x93473))) % 183.16/183.18 [9455]~P37(x94551,x94552)+P21(x94551,f333(f333(f268(f882(f881(x94551,x94551),a870),f882(f881(x94551,x94551),a870)),x94552),x94553))+~P23(f333(f333(f247(f882(f881(x94551,x94551),a870)),f333(f333(f290(x94551,x94551,x94551),x94552),x94553)),x94552)) % 183.16/183.18 [9462]E(f333(f333(f155(f876(x94621),x94621),f333(f333(f7(f876(x94621),a875,x94621),f166(x94621)),x94622)),f333(f137(f876(x94621),f333(f333(f8(a875,a870,f876(x94621)),f333(f248(a875),x94622)),f197(f876(x94621)))),f182(x94621,x94623))),f333(f333(f166(f876(x94621)),x94623),x94622))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x94621),a875),f197(f876(x94621))),x94623)))+~P23(f333(f333(f248(a875),x94622),f333(f197(f876(f876(x94621))),x94623))) % 183.16/183.18 [9596]P39(x95961,x95962,x95963)+~P23(f333(f333(f335(f881(x95961,x95961)),f333(f333(f268(x95961,x95961),f582(x95963,x95962,x95961)),f582(x95963,x95962,x95961))),x95963))+~P23(f333(f333(f247(f882(f881(x95961,x95961),a870)),x95963),f333(f333(f270(x95961,x95961),x95962),f333(f16(f882(x95961,a870),x95961),x95962)))) % 183.16/183.18 [9597]P39(x95971,x95972,x95973)+~P23(f333(f333(f335(f881(x95971,x95971)),f333(f333(f268(x95971,x95971),f590(x95972,x95973,x95971)),f590(x95972,x95973,x95971))),x95973))+~P23(f333(f333(f247(f882(f881(x95971,x95971),a870)),x95973),f333(f333(f270(x95971,x95971),x95972),f333(f16(f882(x95971,a870),x95971),x95972)))) % 183.16/183.18 [9771]~P138(x97711)+~P119(x97711)+E(f333(f333(f291(x97711),f333(f105(x97711),f333(f333(f72(f881(a1,a1),a1,x97712,f267(a1,a1)),f224(x97712)),x97713))),f333(f105(x97711),f333(f333(f72(f881(a1,a1),a1,x97712,f271(a1,a1)),f224(x97712)),x97713))),f237(x97712,x97711,x97713)) % 183.16/183.18 [9972]~E(x99723,f2(a875))+~E(f333(f197(f876(x99721)),f333(f333(f166(f876(x99721)),x99722),f746(x99723,x99721,x99722))),x99723)+E(f333(f333(f155(a875,f876(x99721)),f333(f333(f7(a875,f876(a875),f876(x99721)),f333(f333(f8(f882(a875,x99721),f882(f876(a875),f876(x99721)),a875),f155(a875,x99721)),f333(f7(a875,a875,x99721),f333(f333(f8(f876(x99721),f882(a875,x99721),a875),f166(x99721)),f333(f166(f876(x99721)),x99722))))),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(f876(x99721))),x99722))))),f140(a875,f333(f303(a875,f2(a875)),x99723))),f182(x99721,x99722)) % 183.16/183.18 [9973]E(x99731,f116(f876(x99732)))+~E(f333(f197(f876(x99732)),f333(f333(f166(f876(x99732)),x99731),f746(x99733,x99732,x99731))),x99733)+E(f333(f333(f155(a875,f876(x99732)),f333(f333(f7(a875,f876(a875),f876(x99732)),f333(f333(f8(f882(a875,x99732),f882(f876(a875),f876(x99732)),a875),f155(a875,x99732)),f333(f7(a875,a875,x99732),f333(f333(f8(f876(x99732),f882(a875,x99732),a875),f166(x99732)),f333(f166(f876(x99732)),x99731))))),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(f876(x99732))),x99731))))),f140(a875,f333(f303(a875,f2(a875)),x99733))),f182(x99732,x99731)) % 183.16/183.18 [9974]~E(x99743,f2(a875))+E(f333(f333(f155(a875,f876(x99741)),f333(f333(f7(a875,f876(a875),f876(x99741)),f333(f333(f8(f882(a875,x99741),f882(f876(a875),f876(x99741)),a875),f155(a875,x99741)),f333(f7(a875,a875,x99741),f333(f333(f8(f876(x99741),f882(a875,x99741),a875),f166(x99741)),f333(f166(f876(x99741)),x99742))))),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(f876(x99741))),x99742))))),f140(a875,f333(f303(a875,f2(a875)),x99743))),f182(x99741,x99742))+P23(f333(f333(f248(a875),f746(x99743,x99741,x99742)),f333(f197(f876(f876(x99741))),x99742))) % 183.16/183.18 [9975]E(x99751,f116(f876(x99752)))+E(f333(f333(f155(a875,f876(x99752)),f333(f333(f7(a875,f876(a875),f876(x99752)),f333(f333(f8(f882(a875,x99752),f882(f876(a875),f876(x99752)),a875),f155(a875,x99752)),f333(f7(a875,a875,x99752),f333(f333(f8(f876(x99752),f882(a875,x99752),a875),f166(x99752)),f333(f166(f876(x99752)),x99751))))),f140(a875,f333(f303(a875,f2(a875)),f333(f197(f876(f876(x99752))),x99751))))),f140(a875,f333(f303(a875,f2(a875)),x99753))),f182(x99752,x99751))+P23(f333(f333(f248(a875),f746(x99753,x99752,x99751)),f333(f197(f876(f876(x99752))),x99751))) % 183.16/183.18 [7706]E(f333(f333(f79(a875),f333(f106(a875),x77061)),f333(f333(f79(a875),f333(f106(a875),x77062)),x77063)),f333(f333(f79(a875),f333(f106(a875),f333(f333(f79(a1),x77061),x77062))),x77063))+P23(f333(a201,f333(f106(a1),x77061)))+P23(f333(a201,f333(f106(a1),x77062))) % 183.16/183.18 [8485]~P23(f333(f61(x84851),x84852))+~P23(f333(f333(f335(x84851),x84853),x84852))+E(f333(a115,f333(f37(x84851),f333(f333(f22(f882(x84851,a870)),x84852),f333(f333(f311(x84851),x84853),f196(f882(x84851,a870)))))),f333(f37(x84851),x84852)) % 183.16/183.18 [8504]~P23(f333(f61(x85041),x85042))+~P23(f333(f333(f335(x85041),x85043),x85042))+E(f333(f333(f79(a875),f77(a875)),f333(f37(x85041),f333(f333(f22(f882(x85041,a870)),x85042),f333(f333(f311(x85041),x85043),f196(f882(x85041,a870)))))),f333(f37(x85041),x85042)) % 183.16/183.18 [8587]~P106(x85871)+~P23(f333(f61(x85871),x85873))+E(f333(f333(f149(x85871,x85871,f5(x85871)),x85872),f140(x85871,f333(f333(f22(f882(x85871,a870)),x85873),f333(f333(f311(x85871),x85872),f196(f882(x85871,a870)))))),f140(x85871,f333(f333(f311(x85871),x85872),x85873))) % 183.16/183.18 [8738]~P23(f333(f61(x87381),x87383))+~P23(f333(f61(x87381),x87382))+E(f333(f333(f79(a875),f333(f37(x87381),f333(f333(f113(f882(x87381,a870)),x87382),x87383))),f333(f37(x87381),f333(f333(f104(f882(x87381,a870)),x87382),x87383))),f333(f333(f79(a875),f333(f37(x87381),x87382)),f333(f37(x87381),x87383))) % 183.16/183.18 [9920]~P20(x99201,f882(f882(x99201,a870),a870),f333(f333(f7(x99201,f882(f881(x99201,x99201),a870),f882(f882(x99201,a870),a870)),f333(f333(f8(f882(x99201,a870),f882(f882(f881(x99201,x99201),a870),f882(f882(x99201,a870),a870)),x99201),f60(x99201)),f333(f333(f7(x99201,f882(x99201,a870),f882(x99201,a870)),f311(x99201)),f196(f882(x99201,a870))))),x99203),x99202)+~P23(f333(f61(x99201),x99202))+E(f333(f37(f882(x99201,a870)),f333(f333(f60(x99201),x99202),x99203)),f333(f37(x99201),x99202)) % 183.16/183.18 [7980]~P90(x79801)+P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x79803)))+E(f333(f333(f258(x79801),x79802),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x79803),x79803)),a100))),f77(x79801)) % 183.16/183.18 [9438]~P90(x94381)+~P23(f333(f333(f247(a1),f2(a1)),f333(f106(a1),x94383)))+E(f333(f333(f258(x94381),x94382),f333(f106(a875),f333(f333(f22(a1),f333(f333(f79(a1),x94383),x94383)),a100))),f333(f333(f85(x94381,x94381),f333(f333(f258(x94381),x94382),f333(f106(a875),x94383))),f333(f333(f18(x94381,x94381,x94381),f333(f333(f8(x94381,f882(x94381,x94381),x94381),f80(x94381)),f333(f80(x94381),x94382))),f5(x94381)))) % 183.16/183.18 [9830]~P23(f333(f138(x98301),x98303))+~P23(f333(f333(f335(x98301),x98302),f333(f174(x98301),x98303)))+E(f333(f333(f139(x98301),f333(f197(f876(x98301)),f179(x98301,f333(f333(f8(a870,a870,x98301),a328),f333(f333(f7(x98301,x98301,a870),a330),x98302)),f333(f170(x98301),x98303)))),f333(f170(x98301),x98303)),f333(f333(f152(x98301),x98302),f333(f170(x98301),f179(x98301,f333(f333(f8(a870,a870,x98301),a328),f333(f333(f7(x98301,x98301,a870),a330),x98302)),x98303)))) % 183.16/183.18 [9901]P23(f333(f333(f247(f882(f881(x99011,x99011),a870)),f309(x99011,x99012)),x99013))+~P23(f333(f333(f247(f882(f881(x99011,x99011),a870)),f309(x99011,f196(f882(f881(x99011,x99011),a870)))),x99013))+~P23(f333(f333(f247(f882(f881(x99011,x99011),a870)),f333(f333(f290(x99011,x99011,x99011),f333(f333(f104(f882(f881(x99011,x99011),a870)),f309(x99011,x99012)),x99013)),x99012)),x99013)) % 183.16/183.18 [9742]~P23(f333(f61(x97421),f333(f253(x97421),x97423)))+~P23(f333(f61(x97421),f333(f253(x97421),x97422)))+P23(f333(f61(x97421),f333(f253(x97421),f333(f333(f18(x97421,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97421),a332),x97422)),x97423)))) % 183.16/183.18 [10035]P23(f333(f333(f247(f882(f881(x100351,x100351),a870)),f333(f333(f290(x100351,x100351,x100351),x100352),f309(x100351,x100352))),x100353))+~P23(f333(f333(f247(f882(f881(x100351,x100351),a870)),x100352),x100353))+~P23(f333(f333(f247(f882(f881(x100351,x100351),a870)),f333(f333(f290(x100351,x100351,x100351),f333(f333(f104(f882(f881(x100351,x100351),a870)),f333(f333(f290(x100351,x100351,x100351),x100352),f309(x100351,x100352))),x100353)),x100352)),x100353)) % 183.16/183.18 [9988]~P114(x99882)+E(x99881,f2(x99882))+~E(f333(f333(f79(x99882),f333(f333(f258(x99882),x99883),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x99882),x99881),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f2(x99882)) % 183.16/183.18 [9989]~P114(x99892)+E(x99891,f2(x99892))+~E(f333(f333(f79(x99892),f333(f333(f258(x99892),x99891),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x99892),x99893),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f2(x99892)) % 183.16/183.18 [9994]~P23(f333(f138(x99941),x99943))+~P23(f333(f333(f335(x99941),x99942),f333(f174(x99941),x99943)))+E(f333(f170(x99941),f333(f173(x99941),f333(f333(f139(x99941),f333(f197(f876(x99941)),f179(x99941,f333(f333(f8(a870,a870,x99941),a328),f333(f333(f7(x99941,x99941,a870),a330),x99942)),x99943))),x99943))),f179(x99941,f333(f333(f8(a870,a870,x99941),a328),f333(f333(f7(x99941,x99941,a870),a330),x99942)),f333(f170(x99941),x99943))) % 183.16/183.18 [10080]~P114(x100802)+E(x100801,f2(x100802))+P23(f333(f333(f248(x100802),f2(x100802)),f333(f333(f79(x100802),f333(f333(f258(x100802),x100803),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x100802),x100801),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))) % 183.16/183.18 [10081]~P114(x100812)+E(x100811,f2(x100812))+P23(f333(f333(f248(x100812),f2(x100812)),f333(f333(f79(x100812),f333(f333(f258(x100812),x100811),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x100812),x100813),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))) % 183.16/183.18 [10123]~P114(x101231)+P23(f333(f333(f247(x101231),f2(x101231)),x101232))+~P23(f333(f333(f247(x101231),f2(x101231)),f333(f333(f258(x101231),x101232),f333(a115,f333(f333(f80(a875),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),x101233))))) % 183.16/183.18 [5487]~P19(x54871,x54874,x54873)+P19(x54871,x54872,x54873)+~P19(x54871,x54872,x54874) % 183.16/183.18 [4958]~E(x49582,f89(x49583,x49581))+P23(f333(x49581,x49582))+~P23(f333(x49581,x49584)) % 183.16/183.18 [6692]~P37(x66922,x66924)+~P37(x66921,x66923)+P37(f881(x66921,x66922),f326(x66921,x66922,x66923,x66924)) % 183.16/183.18 [5137]~P2(x51374,x51371)+~E(f333(x51371,x51372),f333(x51371,x51373))+P23(f333(f333(x51371,x51372),x51373)) % 183.16/183.18 [5302]~P2(x53024,x53021)+E(f333(x53021,x53022),f333(x53021,x53023))+~P23(f333(f333(x53021,x53022),x53023)) % 183.16/183.18 [5394]~P13(x53943,x53944,x53941)+E(f333(x53941,x53942),f333(f63(x53943,x53944),x53942))+~P23(f333(f61(x53943),x53942)) % 183.16/183.18 [5395]~P4(x53953,x53954,x53951)+E(f333(x53951,x53952),f333(f63(x53953,x53954),x53952))+~P23(f333(f61(x53953),x53952)) % 183.16/183.18 [5520]~P2(x55204,x55201)+~P23(f333(f333(x55201,x55203),x55202))+P23(f333(f333(x55201,x55202),x55203)) % 183.16/183.18 [5590]E(x55901,x55902)+~E(f333(f267(x55903,x55904),x55901),f333(f267(x55903,x55904),x55902))+~E(f333(f271(x55903,x55904),x55901),f333(f271(x55903,x55904),x55902)) % 183.16/183.18 [5615]E(x56151,x56152)+~P23(f333(f47(x56153,x56154),x56152))+~P23(f333(f47(x56153,x56154),x56151)) % 183.16/183.18 [5805]~P66(x58052)+E(f238(x58051,x58052,x58053,x58054),f2(x58052))+P23(f333(f61(x58051),x58054)) % 183.16/183.18 [5940]~P23(f333(f321(x59401,x59402),x59404))+P23(f333(f321(x59401,x59402),x59403))+~P23(f333(f333(x59402,x59403),x59404)) % 183.16/183.18 [7817]E(x78171,f2(a875))+~P23(f333(x78172,x78173))+P23(f333(x78172,f810(x78172,x78173,x78171,x78174))) % 183.16/183.18 [7899]~P106(x78992)+~P23(f333(f138(x78991),x78994))+P23(f333(f138(x78991),f151(x78991,x78992,x78993,x78994))) % 183.16/183.18 [8128]~P23(f333(f61(x81282),x81284))+~P23(f333(f61(x81281),x81283))+P23(f333(f61(f880(x81281,x81282)),f320(x81281,x81282,x81283,x81284))) % 183.16/183.18 [8129]~P23(f333(f138(x81292),x81294))+~P23(f333(f138(x81291),x81293))+P23(f333(f138(f881(x81291,x81292)),f59(x81291,x81292,x81293,x81294))) % 183.16/183.18 [8133]P23(f333(f333(f335(f876(x81331)),f333(f333(f135(x81331),x81332),x81333)),f162(x81331,x81334)))+~P23(f333(f333(f335(f876(x81331)),x81333),f162(x81331,x81334)))+~P23(f333(f333(f335(f876(x81331)),x81332),f162(x81331,x81334))) % 183.16/183.18 [8418]E(x84181,f2(a875))+P23(f333(x84182,x84183))+~P23(f333(x84182,f811(x84182,x84183,x84181,x84184))) % 183.16/183.18 [8465]~P106(x84653)+~P23(f333(f138(x84651),f151(x84651,x84653,x84654,x84652)))+P23(f333(f138(x84651),x84652)) % 183.16/183.18 [8729]~P23(f333(f333(f335(f881(x87291,x87291)),f333(f333(f268(x87291,x87291),x87292),x87294)),f309(x87291,x87293)))+P23(f333(f333(f335(x87291),x87292),f322(x87291,x87293)))+~P23(f333(f333(f335(x87291),x87294),f322(x87291,x87293))) % 183.16/183.18 [5121]~P66(x51212)+E(f333(f333(f6(x51211,x51212),x51213),x51214),f2(x51212))+P23(f333(f61(x51211),x51214)) % 183.16/183.18 [5124]~P73(x51242)+E(f333(f333(f9(x51241,x51242),x51243),x51244),f77(x51242))+P23(f333(f61(x51241),x51244)) % 183.16/183.18 [5265]~P69(x52653)+E(x52651,x52652)+~E(f333(f333(f79(x52653),x52654),x52651),f333(f333(f79(x52653),x52654),x52652)) % 183.16/183.18 [5266]~P70(x52663)+E(x52661,x52662)+~E(f333(f333(f79(x52663),x52664),x52661),f333(f333(f79(x52663),x52664),x52662)) % 183.16/183.18 [5268]~P69(x52683)+E(x52681,x52682)+~E(f333(f333(f79(x52683),x52681),x52684),f333(f333(f79(x52683),x52682),x52684)) % 183.16/183.18 [5390]~P26(x53903)+E(x53901,f196(f882(x53902,a870)))+E(f333(f333(f41(x53902,x53903),x53901),f333(f16(x53903,x53902),x53904)),x53904) % 183.16/183.18 [5391]~P26(x53913)+E(x53911,f196(f882(x53912,a870)))+E(f333(f333(f42(x53912,x53913),x53911),f333(f16(x53913,x53912),x53914)),x53914) % 183.16/183.18 [5603]~P108(x56033)+E(x56031,x56032)+~E(f304(x56033,x56034,x56031),f333(f333(f311(x56033),x56032),f196(f882(x56033,a870)))) % 183.16/183.18 [5604]~P108(x56043)+E(x56041,x56042)+~E(f304(x56043,x56041,x56042),f333(f333(f311(x56043),x56044),f196(f882(x56043,a870)))) % 183.16/183.18 [5664]~P35(x56643,x56641,x56644)+P35(x56643,x56641,f333(f333(f152(x56643),x56642),x56644))+P23(f333(x56641,x56642)) % 183.16/183.18 [5765]~P31(x57651,x57652,x57654)+~P23(f333(x57652,x57653))+P31(x57651,x57652,f333(f333(f152(x57651),x57653),x57654)) % 183.16/183.18 [5896]P23(f333(x58961,x58962))+~P23(f333(f261(x58963,x58961),x58964))+~P23(f333(f333(f335(x58963),x58962),x58964)) % 183.16/183.18 [5905]~P31(x59051,x59052,x59054)+~P31(x59051,x59052,x59053)+P31(x59051,x59052,f333(f333(f135(x59051),x59053),x59054)) % 183.16/183.18 [5915]P33(x59151,x59152,x59153)+~P33(x59151,x59152,f333(f333(f152(x59151),x59154),x59153))+P23(f333(x59152,x59154)) % 183.16/183.18 [5916]P35(x59161,x59162,x59163)+~P35(x59161,x59162,f333(f333(f152(x59161),x59164),x59163))+P23(f333(x59162,x59164)) % 183.16/183.18 [5929]E(x59291,x59292)+~P23(f333(f333(f202(x59293),x59294),x59292))+~P23(f333(f333(f202(x59293),x59294),x59291)) % 183.16/183.18 [5995]P33(x59951,x59952,x59953)+P33(x59951,x59952,x59954)+~P33(x59951,x59952,f333(f333(f135(x59951),x59954),x59953)) % 183.16/183.18 [6014]~P66(x60141)+E(f333(f333(f6(a875,x60141),x60142),f333(f303(a875,x60143),f333(a115,x60144))),f2(x60141))+~P23(f333(f333(f248(a875),x60144),x60143)) % 183.16/183.18 [6019]~P56(x60191)+~E(f44(x60191,x60192,x60193),f44(x60191,x60194,x60193))+E(f44(x60191,f333(f78(x60191),x60192),x60193),f44(x60191,f333(f78(x60191),x60194),x60193)) % 183.16/183.18 [6087]P23(f333(x60871,x60872))+~E(f333(f137(x60873,x60871),x60874),x60874)+~P23(f333(f333(f335(x60873),x60872),f333(f174(x60873),x60874))) % 183.16/183.18 [6106]~E(f333(f333(f79(a875),x61063),x61062),f333(f333(f79(a875),x61061),x61064))+~P23(f333(f333(f248(a875),x61063),x61064))+P23(f333(f333(f248(a875),x61061),x61062)) % 183.16/183.18 [6110]P33(x61101,x61102,x61103)+~P23(f333(x61102,x61104))+~P23(f333(f333(f335(x61101),x61104),f333(f174(x61101),x61103))) % 183.16/183.18 [6146]~P31(x61463,x61461,x61464)+P23(f333(x61461,x61462))+~P23(f333(f333(f335(x61463),x61462),f333(f174(x61463),x61464))) % 183.16/183.18 [6148]~E(f333(f137(x61481,x61482),x61483),f116(x61481))+~P23(f333(x61482,x61484))+~P23(f333(f333(f335(x61481),x61484),f333(f174(x61481),x61483))) % 183.16/183.18 [6149]~E(f179(x61493,x61491,x61494),x61494)+P23(f333(x61491,x61492))+~P23(f333(f333(f335(x61493),x61492),f333(f174(x61493),x61494))) % 183.16/183.18 [6178]~E(x61784,f196(f882(x61782,a870)))+~E(x61783,f196(f882(x61781,a870)))+E(f320(x61781,x61782,x61783,x61784),f196(f882(f880(x61781,x61782),a870))) % 183.16/183.18 [6323]P23(f333(x63231,x63232))+~P23(f333(f161(x63233,x63231),x63234))+~P23(f333(f333(f335(x63233),x63232),f333(f174(x63233),x63234))) % 183.16/183.18 [6590]~P66(x65901)+E(f333(f333(f6(a875,x65901),x65902),f304(a875,x65903,f333(a115,x65904))),f2(x65901))+~P23(f333(f333(f248(a875),f333(a115,x65904)),x65903)) % 183.16/183.18 [6731]~P106(x67311)+E(f333(f333(f22(f882(x67311,a870)),f333(f303(x67311,x67312),x67313)),f333(f303(x67311,x67312),x67314)),f333(f303(x67311,x67314),x67313))+~P23(f333(f333(f247(x67311),x67312),x67314)) % 183.16/183.18 [6803]~E(x68033,x68034)+E(x68031,f2(a875))+P23(f333(f333(f335(x68032),x68033),f333(f174(x68032),f171(x68032,x68031,x68034)))) % 183.16/183.18 [7085]~P23(f333(f333(f335(f876(x70851)),x70854),f162(x70851,x70853)))+P23(f333(f333(f335(x70851),x70852),x70853))+~P23(f333(f333(f335(x70851),x70852),f333(f174(x70851),x70854))) % 183.16/183.18 [7092]~P37(x70921,x70922)+P23(f333(f333(f335(x70921),f631(x70922,x70921,x70923)),x70923))+~P23(f333(f333(f335(x70921),x70924),x70923)) % 183.16/183.18 [7148]~P66(x71481)+E(f333(f333(f333(f65(x71481,x71482,f79(x71481)),x71483),f2(x71481)),x71484),f333(f333(f6(x71482,x71481),x71483),x71484))+~P23(f333(f61(x71482),x71484)) % 183.16/183.18 [7150]~P73(x71501)+E(f333(f333(f333(f65(x71501,x71502,f80(x71501)),x71503),f77(x71501)),x71504),f333(f333(f9(x71502,x71501),x71503),x71504))+~P23(f333(f61(x71502),x71504)) % 183.16/183.18 [7178]P20(x71781,x71782,x71783,x71784)+~E(f333(f37(x71782),f333(f312(x71781,x71782,x71783),x71784)),f333(f37(x71781),x71784))+~P23(f333(f61(x71781),x71784)) % 183.16/183.18 [7364]~P66(x73641)+E(f333(f333(f79(x73641),f333(x73642,x73643)),f333(f333(f6(a875,x73641),x73642),f306(a875,x73643,x73644))),f333(f333(f6(a875,x73641),x73642),f304(a875,x73643,x73644)))+~P23(f333(f333(f247(a875),x73643),x73644)) % 183.16/183.18 [7374]~P66(x73741)+~P20(x73742,x73741,x73743,x73744)+E(f333(f333(f6(x73741,x73741),f33(x73741)),f333(f312(x73742,x73741,x73743),x73744)),f333(f333(f6(x73742,x73741),x73743),x73744)) % 183.16/183.18 [7375]~P73(x73751)+~P20(x73752,x73751,x73753,x73754)+E(f333(f333(f9(x73751,x73751),f33(x73751)),f333(f312(x73752,x73751,x73753),x73754)),f333(f333(f9(x73752,x73751),x73753),x73754)) % 183.16/183.18 [7428]E(f333(f37(f880(x74281,x74282)),f320(x74281,x74282,x74283,x74284)),f333(f333(f79(a875),f333(f37(x74281),x74283)),f333(f37(x74282),x74284)))+~P23(f333(f61(x74282),x74284))+~P23(f333(f61(x74281),x74283)) % 183.16/183.18 [7515]E(x75151,x75152)+P23(f333(f333(f335(x75153),x75151),f333(f174(x75153),f172(x75153,x75152,x75154))))+~P23(f333(f333(f335(x75153),x75151),f333(f174(x75153),x75154))) % 183.16/183.18 [7743]~P66(x77431)+E(f333(f333(f79(x77431),f333(f333(f6(a875,x77431),x77432),f333(f303(a875,x77433),x77434))),f333(x77432,x77434)),f333(f333(f6(a875,x77431),x77432),f333(f303(a875,x77433),f333(a115,x77434))))+P23(f333(f333(f248(a875),x77434),x77433)) % 183.16/183.18 [7799]~P20(x77991,x77992,x77993,f256(f882(x77991,a870)))+~P23(f333(f61(x77992),x77994))+P23(f333(f61(x77991),f333(f313(x77991,x77992,x77993),x77994))) % 183.16/183.18 [7912]P23(f333(f333(f335(f876(x79121)),f333(f333(f152(x79121),x79122),x79123)),f162(x79121,x79124)))+~P23(f333(f333(f335(f876(x79121)),x79123),f162(x79121,x79124)))+~P23(f333(f333(f335(x79121),x79122),x79124)) % 183.16/183.18 [8004]~E(f333(f312(x80043,x80041,x80044),f256(f882(x80043,a870))),f256(f882(x80041,a870)))+P23(f333(f61(x80041),x80042))+~P23(f333(f61(x80043),f333(f313(x80043,x80041,x80044),x80042))) % 183.16/183.18 [8100]~P20(x81001,x81003,x81004,x81002)+P23(f333(f61(x81001),x81002))+~P23(f333(f61(x81003),f333(f312(x81001,x81003,x81004),x81002))) % 183.16/183.18 [8121]~E(x81212,x81213)+P23(f333(f333(f335(f881(x81211,x81211)),f333(f333(f268(x81211,x81211),x81212),x81213)),f265(x81211,x81214)))+~P23(f333(f333(f335(x81211),x81212),x81214)) % 183.16/183.18 [8160]~P66(x81601)+E(f333(f333(f79(x81601),f333(f333(f6(a875,x81601),x81602),f304(a875,x81603,x81604))),f333(x81602,f333(a115,x81604))),f333(f333(f6(a875,x81601),x81602),f304(a875,x81603,f333(a115,x81604))))+P23(f333(f333(f248(a875),f333(a115,x81604)),x81603)) % 183.16/183.18 [8224]P23(f333(x82241,x82242))+~P23(f333(x82241,f333(f333(f166(x82243),x82244),f681(x82241,x82244,x82243))))+~P23(f333(f333(f335(x82243),x82242),f333(f174(x82243),x82244))) % 183.16/183.18 [8363]~P23(f333(f333(f335(x83631),x83632),f322(x83631,x83634)))+P23(f333(f333(f335(f876(x83631)),f333(f333(f152(x83631),x83632),x83633)),f322(f876(x83631),f158(x83631,x83634))))+~P23(f333(f333(f335(f876(x83631)),x83633),f322(f876(x83631),f158(x83631,x83634)))) % 183.16/183.18 [8376]~P20(x83762,x83763,x83764,f827(x83764,x83763,x83762,x83761))+P20(x83762,x83763,x83764,f40(f882(x83762,a870),x83761))+E(x83761,f196(f882(f882(x83762,a870),a870))) % 183.16/183.18 [8648]E(x86481,x86482)+~P23(f333(f333(f335(f881(x86483,x86483)),f333(f333(f268(x86483,x86483),x86481),x86482)),f309(x86483,x86484)))+P23(f333(f333(f335(x86483),x86481),f333(f266(x86483,x86483),x86484))) % 183.16/183.18 [8913]E(x89131,f2(a875))+P23(f333(x89132,x89133))+P23(f333(f333(f335(x89134),f811(x89132,x89133,x89131,x89134)),f333(f174(x89134),f171(x89134,x89131,x89133)))) % 183.16/183.18 [8923]E(x89231,f2(a875))+~P23(f333(x89233,x89234))+P23(f333(f333(f335(x89232),f810(x89233,x89234,x89231,x89232)),f333(f174(x89232),f171(x89232,x89231,x89234)))) % 183.16/183.18 [8931]P20(x89312,x89313,x89314,f40(f882(x89312,a870),x89311))+E(x89311,f196(f882(f882(x89312,a870),a870)))+P23(f333(f333(f335(f882(x89312,a870)),f827(x89314,x89313,x89312,x89311)),x89311)) % 183.16/183.18 [9068]P23(f333(f61(x90681),x90682))+~P23(f333(f61(x90684),f333(f312(x90681,x90684,x90683),x90682)))+P23(f333(f333(f335(x90681),f496(x90683,x90684,x90682,x90681)),x90682)) % 183.16/183.18 [9160]~P26(x91602)+E(f333(f333(f64(x91601,x91602,f333(f333(f8(x91602,f882(x91602,x91602),x91601),f113(x91602)),x91603)),f196(x91602)),x91604),f333(f333(f41(x91601,x91602),x91604),x91603))+~P23(f333(f61(x91601),x91604)) % 183.16/183.18 [9161]~P26(x91612)+E(f333(f333(f64(x91611,x91612,f333(f333(f8(x91612,f882(x91612,x91612),x91611),f104(x91612)),x91613)),f256(x91612)),x91614),f333(f333(f42(x91611,x91612),x91614),x91613))+~P23(f333(f61(x91611),x91614)) % 183.16/183.18 [9244]P23(f333(x92441,x92442))+~P23(f333(x92441,f333(f333(f166(x92443),x92444),f732(x92442,x92441,x92444,x92443))))+~P23(f333(f333(f335(x92443),x92442),f333(f174(x92443),x92444))) % 183.16/183.18 [9264]E(x92641,x92642)+~P23(f333(f333(f335(f881(x92643,x92643)),f333(f333(f268(x92643,x92643),x92641),x92642)),f309(x92643,x92644)))+P23(f333(f333(f335(f881(x92643,x92643)),f333(f333(f268(x92643,x92643),x92641),x92642)),f333(f333(f290(x92643,x92643,x92643),x92644),f309(x92643,x92644)))) % 183.16/183.18 [9313]~E(f333(f197(f876(x93131)),x93132),f333(f197(f876(x93131)),x93133))+~P23(f333(f333(f335(f881(f876(x93131),f876(x93131))),f333(f333(f268(f876(x93131),f876(x93131)),x93132),x93133)),f148(x93131,x93134)))+P23(f333(f333(f335(f881(f876(x93131),f876(x93131))),f333(f333(f268(f876(x93131),f876(x93131)),x93132),x93133)),f146(x93131,x93134))) % 183.16/183.18 [9543]P31(x95431,f333(f333(f18(x95431,a870,a870),f333(f333(f8(a870,f882(a870,a870),x95431),a332),f333(f333(f8(a870,a870,x95431),a328),x95432))),f333(a330,x95433)),x95434)+~P23(f333(x95432,x95433))+~P35(x95431,x95432,f333(f333(f152(x95431),x95433),x95434)) % 183.16/183.18 [9704]~P31(x97041,f333(f333(f18(x97041,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97041),a332),f333(f333(f8(a870,a870,x97041),a328),x97042))),f333(a330,x97043)),x97044)+~P23(f333(x97042,x97043))+P35(x97041,x97042,f333(f333(f152(x97041),x97043),x97044)) % 183.16/183.18 [9708]~P35(x97081,x97082,x97084)+~P31(x97081,f333(f333(f18(x97081,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97081),a332),f333(f333(f8(a870,a870,x97081),a328),x97082))),f333(a330,x97083)),x97084)+P35(x97081,x97082,f333(f333(f152(x97081),x97083),x97084)) % 183.16/183.18 [9745]~P65(x97451)+E(f333(f333(f6(a875,x97451),f333(f333(f18(a875,x97451,x97451),f333(f333(f8(x97451,f882(x97451,x97451),a875),f22(x97451)),x97452)),f333(f333(f8(a875,x97451,a875),x97452),f333(f333(f7(a875,a875,a875),f79(a875)),f77(a875))))),f304(a875,x97453,x97454)),f2(x97451))+P23(f333(f333(f247(a875),x97453),x97454)) % 183.16/183.18 [9987]~P37(x99872,x99874)+~P20(x99872,x99871,x99873,f256(f882(x99872,a870)))+P37(x99871,f333(f312(f881(x99872,x99872),f881(x99871,x99871),f273(x99872,x99871,x99872,x99871,x99873,x99873)),x99874)) % 183.16/183.18 [10149]~E(f333(f197(f876(x101491)),x101493),f333(f197(f876(x101491)),x101492))+P23(f333(f333(f335(f881(f876(x101491),f876(x101491))),f333(f333(f268(f876(x101491),f876(x101491)),x101492),x101493)),f159(x101491,x101494)))+~P23(f333(f333(f272(x101491,x101491,a870),f333(f333(f7(x101491,f882(f881(x101491,x101491),a870),f882(x101491,a870)),f333(f333(f8(f882(x101491,f882(f882(f881(x101491,x101491),a870),a870)),f882(f882(f881(x101491,x101491),a870),f882(x101491,a870)),x101491),f7(x101491,f882(f881(x101491,x101491),a870),a870)),f333(f333(f8(f882(x101491,f881(x101491,x101491)),f882(x101491,f882(f882(f881(x101491,x101491),a870),a870)),x101491),f333(f8(f881(x101491,x101491),f882(f882(f881(x101491,x101491),a870),a870),x101491),f335(f881(x101491,x101491)))),f268(x101491,x101491)))),x101494)),f684(x101494,x101493,x101492,x101491))) % 183.16/183.18 [5979]~E(x59794,x59792)+P23(f333(x59791,x59792))+P23(f333(f333(f202(f31(x59791,x59793)),x59792),x59794)) % 183.16/183.18 [6071]~P55(x60711)+~E(x60712,f2(x60711))+E(f333(f333(f38(x60711),f333(f333(f80(x60711),x60712),x60713)),f333(f333(f80(x60711),x60712),x60714)),f2(x60711)) % 183.16/183.18 [6109]E(x61091,f116(x61092))+E(x61093,f333(f333(f22(a875),f333(f197(f876(x61092)),x61091)),f77(a875)))+E(f145(x61092,f333(f333(f160(x61092,x61091),x61093),x61094)),f145(x61092,x61091)) % 183.16/183.18 [6137]E(x61371,x61372)+P23(f333(x61373,x61372))+~P23(f333(f333(f333(f311(x61374),x61371),x61373),x61372)) % 183.16/183.18 [6153]~P66(x61531)+~P23(f333(f138(x61532),x61534))+E(f333(f167(x61531),f333(f333(f155(x61532,x61531),x61533),x61534)),f333(f333(f6(x61532,x61531),x61533),f333(f174(x61532),x61534))) % 183.16/183.18 [6171]~P73(x61712)+~P23(f333(f61(x61711),x61714))+E(f333(f333(f9(x61711,x61712),f333(f16(x61712,x61711),x61713)),x61714),f333(f333(f258(x61712),x61713),f333(f37(x61711),x61714))) % 183.16/183.18 [6226]~P55(x62262)+E(x62261,f2(x62262))+E(f333(f333(f38(x62262),f333(f333(f80(x62262),x62263),x62261)),f333(f333(f80(x62262),x62264),x62261)),f333(f333(f38(x62262),x62263),x62264)) % 183.16/183.18 [6228]~P58(x62282)+E(x62281,f2(x62282))+E(f333(f333(f291(x62282),f333(f333(f80(x62282),x62283),x62281)),f333(f333(f80(x62282),x62284),x62281)),f333(f333(f291(x62282),x62283),x62284)) % 183.16/183.18 [6229]~P58(x62292)+E(x62291,f2(x62292))+E(f333(f333(f291(x62292),f333(f333(f80(x62292),x62291),x62293)),f333(f333(f80(x62292),x62291),x62294)),f333(f333(f291(x62292),x62293),x62294)) % 183.16/183.18 [6230]~P55(x62302)+E(x62301,f2(x62302))+E(f333(f333(f38(x62302),f333(f333(f80(x62302),x62301),x62303)),f333(f333(f80(x62302),x62301),x62304)),f333(f333(f38(x62302),x62303),x62304)) % 183.16/183.18 [6293]P23(f333(x62931,x62932))+~E(x62933,f333(f333(f79(a875),x62934),x62932))+~P23(f333(x62931,f333(f333(f22(a875),x62933),x62934))) % 183.16/183.18 [6374]P22(x63741,x63742,x63743)+P29(x63741,f600(x63743,x63742,x63741),x63744)+~P23(f333(f333(f335(f874(x63741)),x63744),x63742)) % 183.16/183.18 [6376]~P23(f333(x63762,x63763))+~P23(f333(f161(x63761,x63762),x63764))+P23(f333(f161(x63761,x63762),f333(f333(f152(x63761),x63763),x63764))) % 183.16/183.18 [6416]E(x64161,f116(x64162))+~E(x64163,f333(f333(f22(a875),f333(f197(f876(x64162)),x64161)),f77(a875)))+E(f145(x64162,f333(f333(f160(x64162,x64161),x64163),x64164)),x64164) % 183.16/183.18 [6439]~P98(x64391)+~P23(f333(f333(f248(x64391),x64392),x64394))+P23(f333(f333(f248(x64391),x64392),f333(f333(f113(x64391),x64393),x64394))) % 183.16/183.18 [6440]~P98(x64401)+~P23(f333(f333(f248(x64401),x64402),x64403))+P23(f333(f333(f248(x64401),x64402),f333(f333(f113(x64401),x64403),x64404))) % 183.16/183.18 [6442]~P106(x64421)+~P23(f333(f333(f248(x64421),x64422),x64424))+P23(f333(f333(f248(x64421),x64422),f333(f333(f246(x64421),x64423),x64424))) % 183.16/183.18 [6444]~P106(x64441)+~P23(f333(f333(f248(x64441),x64442),x64443))+P23(f333(f333(f248(x64441),x64442),f333(f333(f246(x64441),x64443),x64444))) % 183.16/183.18 [6445]~P98(x64451)+~P23(f333(f333(f247(x64451),x64452),x64454))+P23(f333(f333(f247(x64451),x64452),f333(f333(f113(x64451),x64453),x64454))) % 183.16/183.18 [6446]~P98(x64461)+~P23(f333(f333(f247(x64461),x64462),x64463))+P23(f333(f333(f247(x64461),x64462),f333(f333(f113(x64461),x64463),x64464))) % 183.16/183.18 [6448]~P106(x64481)+~P23(f333(f333(f247(x64481),x64482),x64484))+P23(f333(f333(f247(x64481),x64482),f333(f333(f246(x64481),x64483),x64484))) % 183.16/183.18 [6450]~P106(x64501)+~P23(f333(f333(f247(x64501),x64502),x64503))+P23(f333(f333(f247(x64501),x64502),f333(f333(f246(x64501),x64503),x64504))) % 183.16/183.18 [6535]~E(f333(f333(f166(x65351),x65352),x65353),x65354)+E(f333(f333(f160(x65351,x65352),x65353),x65354),x65352)+~P23(f333(f333(f248(a875),x65353),f333(f197(f876(x65351)),x65352))) % 183.16/183.18 [6552]E(x65521,x65522)+P23(f333(x65523,x65521))+~P23(f333(f333(f202(f31(x65523,x65524)),x65521),x65522)) % 183.16/183.18 [6576]P23(f333(x65761,x65762))+~P23(f333(x65763,x65762))+~P23(f333(f333(f247(f882(x65764,a870)),x65763),x65761)) % 183.16/183.18 [6608]~E(f333(f333(f160(x66081,x66082),x66083),x66084),x66082)+E(f333(f333(f166(x66081),x66082),x66083),x66084)+~P23(f333(f333(f248(a875),x66083),f333(f197(f876(x66081)),x66082))) % 183.16/183.18 [6623]~P23(f333(f161(x66231,x66232),x66234))+~P23(f333(f161(x66231,x66232),x66233))+P23(f333(f161(x66231,x66232),f333(f333(f135(x66231),x66233),x66234))) % 183.16/183.18 [6719]P29(x67191,x67192,x67193)+~P29(x67191,f333(a115,x67192),f601(x67192,x67194,x67191))+~P23(f333(f333(f335(f874(x67191)),x67193),x67194)) % 183.16/183.18 [6728]E(x67281,f196(f882(x67282,a870)))+E(x67283,f196(f882(x67284,a870)))+~E(f333(f333(f270(x67284,x67282),x67283),f333(f16(f882(x67282,a870),x67284),x67281)),f196(f882(f881(x67284,x67282),a870))) % 183.16/183.18 [6747]E(x67471,x67472)+P23(f333(f333(f335(x67473),x67471),x67474))+~P23(f333(f333(f335(x67473),x67471),f333(f333(f311(x67473),x67472),x67474))) % 183.16/183.18 [6763]~P106(x67631)+P23(f333(f333(f248(x67631),x67632),x67633))+~P23(f333(f333(f248(x67631),x67632),f333(f333(f245(x67631),x67634),x67633))) % 183.16/183.18 [6764]~P106(x67641)+P23(f333(f333(f248(x67641),x67642),x67643))+~P23(f333(f333(f248(x67641),x67642),f333(f333(f245(x67641),x67643),x67644))) % 183.16/183.18 [6766]~P99(x67661)+P23(f333(f333(f247(x67661),x67662),x67663))+~P23(f333(f333(f247(x67661),x67662),f333(f333(f104(x67661),x67664),x67663))) % 183.16/183.18 [6768]~P99(x67681)+P23(f333(f333(f247(x67681),x67682),x67683))+~P23(f333(f333(f247(x67681),x67682),f333(f333(f104(x67681),x67683),x67684))) % 183.16/183.18 [6770]~P106(x67701)+P23(f333(f333(f247(x67701),x67702),x67703))+~P23(f333(f333(f247(x67701),x67702),f333(f333(f245(x67701),x67704),x67703))) % 183.16/183.18 [6772]~P106(x67721)+P23(f333(f333(f247(x67721),x67722),x67723))+~P23(f333(f333(f247(x67721),x67722),f333(f333(f245(x67721),x67723),x67724))) % 183.16/183.18 [6794]~E(f333(f333(f166(x67941),x67943),x67944),x67942)+P23(f333(f333(f335(x67941),x67942),f333(f174(x67941),x67943)))+~P23(f333(f333(f248(a875),x67944),f333(f197(f876(x67941)),x67943))) % 183.16/183.18 [6806]~P106(x68061)+~P28(x68061,f333(f333(f152(x68061),x68062),f333(f333(f152(x68061),x68063),x68064)))+P23(f333(f333(f247(x68061),x68062),x68063)) % 183.16/183.18 [6948]~P31(x69482,x69481,x69483)+P23(f333(x69481,f333(f333(f166(x69482),x69483),x69484)))+~P23(f333(f333(f248(a875),x69484),f333(f197(f876(x69482)),x69483))) % 183.16/183.18 [6967]E(x69671,f2(a1))+E(f333(f333(f38(a1),x69672),x69671),x69673)+~P23(f333(f48(x69672,x69671),f333(f333(f268(a1,a1),x69673),x69674))) % 183.16/183.18 [6988]E(f44(a1,x69882,x69881),x69883)+E(x69881,f2(a1))+~P23(f333(f48(x69882,x69881),f333(f333(f268(a1,a1),x69884),x69883))) % 183.16/183.18 [7106]P23(f333(f333(f335(x71061),x71062),x71063))+~P23(f333(f333(f335(x71061),x71062),x71064))+~P23(f333(f333(f248(f882(x71061,a870)),x71064),x71063)) % 183.16/183.18 [7110]P23(f333(f333(f335(x71101),x71102),x71103))+~P23(f333(f333(f335(x71101),x71102),x71104))+~P23(f333(f333(f247(f882(x71101,a870)),x71104),x71103)) % 183.16/183.18 [7218]P33(x72181,x72182,x72183)+~P23(f333(x72182,f333(f333(f166(x72181),x72183),x72184)))+~P23(f333(f333(f248(a875),x72184),f333(f197(f876(x72181)),x72183))) % 183.16/183.18 [7329]~P107(x73292)+~P23(f333(f333(f248(f882(x73291,x73292)),x73293),x73294))+P23(f333(f333(f247(f882(x73291,x73292)),x73293),x73294)) % 183.16/183.18 [7416]~P19(x74161,x74162,x74164)+P19(x74161,x74162,f333(f333(f311(f874(x74161)),x74163),x74164))+~P19(x74161,x74162,f333(f333(f311(f874(x74161)),x74163),f196(f882(f874(x74161),a870)))) % 183.16/183.18 [7461]~P23(f333(f333(f335(x74611),x74612),x74614))+P23(f333(f333(f335(x74611),x74612),f39(f882(x74611,a870),x74613)))+~P23(f333(f333(f335(f882(x74611,a870)),x74614),x74613)) % 183.16/183.18 [7473]P29(x74731,x74732,x74733)+P23(f333(f333(f335(f874(x74731)),f601(x74732,x74734,x74731)),x74734))+~P23(f333(f333(f335(f874(x74731)),x74733),x74734)) % 183.16/183.18 [7493]~P79(x74931)+~P23(f333(f333(f248(x74931),x74933),x74934))+P23(f333(f333(f248(x74931),f333(f333(f79(x74931),x74932),x74933)),f333(f333(f79(x74931),x74932),x74934))) % 183.16/183.18 [7494]~P80(x74941)+~P23(f333(f333(f248(x74941),x74943),x74944))+P23(f333(f333(f248(x74941),f333(f333(f79(x74941),x74942),x74943)),f333(f333(f79(x74941),x74942),x74944))) % 183.16/183.18 [7495]~P79(x74951)+~P23(f333(f333(f248(x74951),x74952),x74954))+P23(f333(f333(f248(x74951),f333(f333(f79(x74951),x74952),x74953)),f333(f333(f79(x74951),x74954),x74953))) % 183.16/183.18 [7496]~P80(x74961)+~P23(f333(f333(f248(x74961),x74962),x74964))+P23(f333(f333(f248(x74961),f333(f333(f79(x74961),x74962),x74963)),f333(f333(f79(x74961),x74964),x74963))) % 183.16/183.18 [7497]~P80(x74971)+~P23(f333(f333(f247(x74971),x74973),x74974))+P23(f333(f333(f247(x74971),f333(f333(f79(x74971),x74972),x74973)),f333(f333(f79(x74971),x74972),x74974))) % 183.16/183.18 [7498]~P81(x74981)+~P23(f333(f333(f247(x74981),x74983),x74984))+P23(f333(f333(f247(x74981),f333(f333(f79(x74981),x74982),x74983)),f333(f333(f79(x74981),x74982),x74984))) % 183.16/183.18 [7499]~P80(x74991)+~P23(f333(f333(f247(x74991),x74992),x74994))+P23(f333(f333(f247(x74991),f333(f333(f79(x74991),x74992),x74993)),f333(f333(f79(x74991),x74994),x74993))) % 183.16/183.18 [7500]~P81(x75001)+~P23(f333(f333(f247(x75001),x75002),x75004))+P23(f333(f333(f247(x75001),f333(f333(f79(x75001),x75002),x75003)),f333(f333(f79(x75001),x75004),x75003))) % 183.16/183.18 [7509]~P103(x75091)+~P91(x75091)+E(f333(f333(f22(x75091),f333(f333(f80(x75091),x75092),f333(f106(x75091),x75093))),f333(f333(f80(x75091),x75094),f333(f106(x75091),x75093))),f333(f333(f80(x75091),f333(f333(f22(x75091),x75092),x75094)),f333(f106(x75091),x75093))) % 183.16/183.18 [7510]~P135(x75101)+~P91(x75101)+E(f333(f333(f79(x75101),f333(f333(f80(x75101),x75102),f333(f106(x75101),x75103))),f333(f333(f80(x75101),x75104),f333(f106(x75101),x75103))),f333(f333(f80(x75101),f333(f333(f79(x75101),x75102),x75104)),f333(f106(x75101),x75103))) % 183.16/183.18 [7546]~P66(x75461)+E(f333(f333(f79(x75461),f333(x75462,x75463)),f333(f333(f6(a875,x75461),x75462),f304(a875,f333(a115,x75463),x75464))),f333(f333(f6(a875,x75461),x75462),f304(a875,x75463,x75464)))+~P23(f333(f333(f247(a875),x75463),x75464)) % 183.16/183.18 [7557]~P20(x75572,x75571,x75573,f333(f174(x75572),x75574))+~P23(f333(f138(x75572),x75574))+P23(f333(f138(x75571),f333(f333(f155(x75572,x75571),x75573),x75574))) % 183.16/183.18 [7606]~P23(f333(f333(f248(a875),x76062),x76064))+~P23(f333(f333(f248(a875),x76061),x76063))+P23(f333(f333(f248(a875),f333(f333(f79(a875),x76061),x76062)),f333(f333(f79(a875),x76063),x76064))) % 183.16/183.18 [7607]~P23(f333(f333(f248(a1),x76071),x76073))+~P23(f333(f333(f247(a1),x76072),x76074))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x76071),x76072)),f333(f333(f79(a1),x76073),x76074))) % 183.16/183.18 [7608]~P23(f333(f333(f247(a875),x76082),x76084))+~P23(f333(f333(f247(a875),x76081),x76083))+P23(f333(f333(f247(a875),f333(f333(f79(a875),x76081),x76082)),f333(f333(f79(a875),x76083),x76084))) % 183.16/183.18 [7609]~P23(f333(f333(f247(a875),x76092),x76094))+~P23(f333(f333(f247(a875),x76091),x76093))+P23(f333(f333(f247(a875),f333(f333(f80(a875),x76091),x76092)),f333(f333(f80(a875),x76093),x76094))) % 183.16/183.18 [7657]P23(f333(f333(f335(x76571),x76572),x76573))+~P23(f333(f333(f335(x76571),x76572),f40(f882(x76571,a870),x76574)))+~P23(f333(f333(f335(f882(x76571,a870)),x76573),x76574)) % 183.16/183.18 [7673]~P23(f333(x76731,f679(x76731,x76733,x76732)))+P23(f333(x76731,f333(f333(f166(x76732),x76733),x76734)))+~P23(f333(f333(f248(a875),x76734),f333(f197(f876(x76732)),x76733))) % 183.16/183.18 [7679]P23(f333(x76791,x76792))+~P23(f333(f333(f335(x76794),x76792),f333(f174(x76794),x76793)))+P23(f333(f333(f248(a875),f681(x76791,x76793,x76794)),f333(f197(f876(x76794)),x76793))) % 183.16/183.18 [7699]~P23(f333(f333(f202(x76992),x76993),x76994))+~P23(f333(f333(f202(f31(x76991,x76992)),x76994),x76993))+P23(f333(f333(f202(f31(x76991,x76992)),x76993),x76993)) % 183.16/183.18 [7728]~P107(x77281)+~P23(f333(f333(f247(f882(x77282,x77281)),x77284),x77283))+~P23(f333(f333(f248(f882(x77282,x77281)),x77283),x77284)) % 183.16/183.18 [7776]~P23(f333(x77764,x77762))+~P23(f333(f333(f335(x77761),x77762),x77763))+P23(f333(f333(f335(x77761),x77762),f333(f333(f104(f882(x77761,a870)),x77763),f333(f253(x77761),x77764)))) % 183.16/183.18 [7921]~P23(f333(f333(f335(x79211),x79213),x79214))+~P23(f333(f333(f248(f882(x79211,a870)),x79212),x79214))+P23(f333(f333(f248(f882(x79211,a870)),x79212),f333(f333(f311(x79211),x79213),x79214))) % 183.16/183.18 [7923]E(f333(f333(f104(f882(x79231,a870)),x79232),x79233),f196(f882(x79231,a870)))+~E(f333(f333(f104(f882(x79231,a870)),f39(f882(x79231,a870),x79234)),x79233),f196(f882(x79231,a870)))+~P23(f333(f333(f335(f882(x79231,a870)),x79232),x79234)) % 183.16/183.18 [8000]P23(f333(f333(f335(x80001),x80002),x80003))+~P23(f333(f333(f247(f882(x80001,a870)),x80003),f333(f333(f311(x80001),x80002),x80004)))+P23(f333(f333(f247(f882(x80001,a870)),x80003),x80004)) % 183.16/183.18 [8022]P23(f333(f333(f335(x80222),f679(x80221,x80223,x80222)),f333(f174(x80222),x80223)))+P23(f333(x80221,f333(f333(f166(x80222),x80223),x80224)))+~P23(f333(f333(f248(a875),x80224),f333(f197(f876(x80222)),x80223))) % 183.16/183.18 [8030]~P23(f333(f333(f248(f882(x80301,a870)),x80302),x80304))+P23(f333(f333(f248(f882(x80301,a870)),x80302),x80303))+~P23(f333(f333(f248(f882(x80301,a870)),x80304),x80303)) % 183.16/183.18 [8031]~P23(f333(f333(f247(f882(x80311,a870)),x80312),x80314))+P23(f333(f333(f248(f882(x80311,a870)),x80312),x80313))+~P23(f333(f333(f248(f882(x80311,a870)),x80314),x80313)) % 183.16/183.18 [8032]~P23(f333(f333(f247(f882(x80321,a870)),x80324),x80323))+~P23(f333(f333(f248(f882(x80321,a870)),x80322),x80324))+P23(f333(f333(f248(f882(x80321,a870)),x80322),x80323)) % 183.16/183.18 [8033]~P23(f333(f333(f247(f882(x80331,a870)),x80332),x80334))+P23(f333(f333(f247(f882(x80331,a870)),x80332),x80333))+~P23(f333(f333(f247(f882(x80331,a870)),x80334),x80333)) % 183.16/183.18 [8073]~P23(f333(f333(f335(x80731),x80734),x80733))+~P23(f333(f333(f248(f882(x80731,a870)),x80732),f333(f333(f311(x80731),x80734),x80733)))+P23(f333(f333(f248(f882(x80731,a870)),x80732),x80733)) % 183.16/183.18 [8085]~P80(x80851)+P23(f333(f333(f248(x80851),x80852),x80853))+~P23(f333(f333(f248(x80851),f333(f333(f79(x80851),x80854),x80852)),f333(f333(f79(x80851),x80854),x80853))) % 183.16/183.18 [8087]~P80(x80871)+P23(f333(f333(f248(x80871),x80872),x80873))+~P23(f333(f333(f248(x80871),f333(f333(f79(x80871),x80872),x80874)),f333(f333(f79(x80871),x80873),x80874))) % 183.16/183.18 [8089]~P80(x80891)+P23(f333(f333(f247(x80891),x80892),x80893))+~P23(f333(f333(f247(x80891),f333(f333(f79(x80891),x80894),x80892)),f333(f333(f79(x80891),x80894),x80893))) % 183.16/183.18 [8091]~P80(x80911)+P23(f333(f333(f247(x80911),x80912),x80913))+~P23(f333(f333(f247(x80911),f333(f333(f79(x80911),x80912),x80914)),f333(f333(f79(x80911),x80913),x80914))) % 183.16/183.18 [8140]P23(f333(x81401,x81402))+~E(f333(f333(f139(x81403),f333(f197(f876(x81403)),f179(x81403,x81401,x81404))),x81404),f116(x81403))+~P23(f333(f333(f335(x81403),x81402),f333(f174(x81403),x81404))) % 183.16/183.18 [8266]P23(f333(x82661,x82662))+~P23(f333(f333(f335(x82663),x82662),f333(f174(x82663),x82664)))+P23(f333(f333(f248(a875),f333(f197(f876(x82663)),f333(f137(x82663,x82661),x82664))),f333(f197(f876(x82663)),x82664))) % 183.16/183.18 [8393]E(x83931,x83932)+P23(f333(f333(f202(x83933),x83931),f866(x83932,x83931,x83933,x83934)))+~P23(f333(f333(f202(f31(x83934,x83933)),x83931),x83932)) % 183.16/183.18 [8424]~P23(f333(x84244,x84242))+P23(f333(f333(f202(x84241),x84242),f866(x84243,x84242,x84241,x84244)))+~P23(f333(f333(f202(f31(x84244,x84241)),x84242),x84243)) % 183.16/183.18 [8740]~P23(f333(x87401,f780(x87401,x87403,x87402,x87404)))+P23(f333(x87401,f333(f333(f166(x87402),x87403),x87404)))+~P23(f333(f333(f248(a875),x87404),f333(f197(f876(x87402)),x87403))) % 183.16/183.18 [8763]~P20(x87634,x87633,x87631,f256(f882(x87634,a870)))+E(f333(x87631,f828(x87632,x87631,x87633,x87634)),x87632)+~P23(f333(f333(f335(x87633),x87632),f333(f312(x87634,x87633,x87631),f256(f882(x87634,a870))))) % 183.16/183.18 [8829]E(f179(x88291,x88292,x88293),f333(f333(f177(x88291),x88294),x88293))+P23(f333(f333(f248(a875),f757(x88292,x88293,x88291,x88294)),x88294))+P23(f333(f333(f248(a875),x88294),f333(f197(f876(x88291)),x88293))) % 183.16/183.18 [8832]E(f179(x88321,x88322,x88323),f333(f333(f177(x88321),x88324),x88323))+P23(f333(f333(f248(a875),f757(x88322,x88323,x88321,x88324)),x88324))+P23(f333(x88322,f333(f333(f166(x88321),x88323),x88324))) % 183.16/183.18 [8861]P23(f333(x88611,x88612))+~P23(f333(f333(f335(x88614),x88612),f333(f174(x88614),x88613)))+P23(f333(f333(f248(a875),f732(x88612,x88611,x88613,x88614)),f333(f197(f876(x88614)),x88613))) % 183.16/183.18 [8864]E(f179(x88641,x88642,x88643),f333(f333(f177(x88641),x88644),x88643))+P23(f333(f333(f248(a875),x88644),f333(f197(f876(x88641)),x88643)))+P23(f333(f333(f248(a875),f757(x88642,x88643,x88641,x88644)),f333(f197(f876(x88641)),x88643))) % 183.16/183.18 [8871]E(f179(x88711,x88712,x88713),f333(f333(f177(x88711),x88714),x88713))+P23(f333(x88712,f333(f333(f166(x88711),x88713),x88714)))+P23(f333(f333(f248(a875),f757(x88712,x88713,x88711,x88714)),f333(f197(f876(x88711)),x88713))) % 183.16/183.18 [8898]~P120(x88984)+P23(f333(f333(f335(x88981),f662(x88982,x88983,x88981,x88984)),x88983))+P23(f333(f333(f248(x88984),f2(x88984)),f333(f333(f9(x88981,x88984),x88982),x88983))) % 183.16/183.18 [8899]~P120(x88994)+P23(f333(f333(f335(x88991),f666(x88992,x88993,x88991,x88994)),x88993))+P23(f333(f333(f247(x88994),f2(x88994)),f333(f333(f9(x88991,x88994),x88992),x88993))) % 183.16/183.18 [8933]~P23(f333(f61(x89331),x89334))+P23(f333(f333(f335(x89331),f577(x89332,x89333,x89334,x89331)),x89334))+P23(f333(f61(f881(x89331,x89333)),f333(f333(f270(x89331,x89333),x89334),x89332))) % 183.16/183.18 [8967]P23(f333(f333(f335(x89672),f780(x89671,x89673,x89672,x89674)),f333(f174(x89672),x89673)))+P23(f333(x89671,f333(f333(f166(x89672),x89673),x89674)))+~P23(f333(f333(f248(a875),x89674),f333(f197(f876(x89672)),x89673))) % 183.16/183.18 [8982]E(x89821,x89822)+P23(f333(f333(f202(f31(x89823,x89824)),f866(x89821,x89822,x89824,x89823)),x89821))+~P23(f333(f333(f202(f31(x89823,x89824)),x89822),x89821)) % 183.16/183.18 [9002]~P23(f333(x90021,x90024))+P23(f333(f333(f202(f31(x90021,x90022)),f866(x90023,x90024,x90022,x90021)),x90023))+~P23(f333(f333(f202(f31(x90021,x90022)),x90024),x90023)) % 183.16/183.18 [9097]P23(f333(f333(f247(a875),x90974),f333(f197(f876(x90972)),f179(x90972,x90973,x90971))))+P23(f333(f333(f248(a875),f759(x90971,x90972,x90973,x90974)),x90974))+~P23(f333(f333(f247(a875),x90974),f333(f197(f876(x90972)),x90971))) % 183.16/183.18 [9201]~E(f333(f333(f180(x92011,x92012),x92013),f769(x92014,x92013,x92012,x92011)),f333(f333(f180(x92011,x92012),x92014),f769(x92014,x92013,x92012,x92011)))+E(f333(f180(x92011,x92012),x92013),f333(f180(x92011,x92012),x92014))+~E(f333(f174(x92011),f333(f333(f155(f881(x92011,x92012),x92011),f267(x92011,x92012)),x92013)),f333(f174(x92011),f333(f333(f155(f881(x92011,x92012),x92011),f267(x92011,x92012)),x92014))) % 183.16/183.18 [9247]E(f179(x92471,x92472,x92473),f333(f333(f177(x92471),x92474),x92473))+~P23(f333(x92472,f333(f333(f166(x92471),x92473),f757(x92472,x92473,x92471,x92474))))+P23(f333(f333(f248(a875),x92474),f333(f197(f876(x92471)),x92473))) % 183.16/183.18 [9251]E(f179(x92511,x92512,x92513),f333(f333(f177(x92511),x92514),x92513))+~P23(f333(x92512,f333(f333(f166(x92511),x92513),f757(x92512,x92513,x92511,x92514))))+P23(f333(x92512,f333(f333(f166(x92511),x92513),x92514))) % 183.16/183.18 [9258]~P23(f333(f61(x92581),x92583))+~P23(f333(f61(x92582),f333(x92584,f577(x92584,x92582,x92583,x92581))))+P23(f333(f61(f881(x92581,x92582)),f333(f333(f270(x92581,x92582),x92583),x92584))) % 183.16/183.18 [9266]~P120(x92661)+~P23(f333(f333(f248(x92661),f2(x92661)),f333(x92663,f662(x92663,x92664,x92662,x92661))))+P23(f333(f333(f248(x92661),f2(x92661)),f333(f333(f9(x92662,x92661),x92663),x92664))) % 183.16/183.18 [9267]~P120(x92671)+~P23(f333(f333(f247(x92671),f2(x92671)),f333(x92673,f666(x92673,x92674,x92672,x92671))))+P23(f333(f333(f247(x92671),f2(x92671)),f333(f333(f9(x92672,x92671),x92673),x92674))) % 183.16/183.18 [9273]~E(f333(f197(f876(x92734)),x92732),f333(f197(f876(x92734)),x92733))+P23(f333(f333(f335(f881(f876(x92734),f876(x92734))),f333(f333(f268(f876(x92734),f876(x92734)),x92733),x92732)),f159(x92734,x92731)))+P23(f333(f333(f248(a875),f671(x92731,x92732,x92733,x92734)),f333(f197(f876(x92734)),x92733))) % 183.16/183.18 [9327]~P23(f333(x93273,f333(f333(f166(x93272),x93274),f759(x93274,x93272,x93273,x93271))))+P23(f333(f333(f247(a875),x93271),f333(f197(f876(x93272)),f179(x93272,x93273,x93274))))+~P23(f333(f333(f247(a875),x93271),f333(f197(f876(x93272)),x93274))) % 183.16/183.18 [9404]E(f333(f333(f177(x94041),f680(x94042,x94043,x94044,x94041)),x94043),f333(f333(f177(x94041),f680(x94042,x94043,x94044,x94041)),x94044))+~P23(f333(f333(f335(f881(f876(x94041),f876(x94041))),f333(f333(f268(f876(x94041),f876(x94041)),x94044),x94043)),f148(x94041,x94042)))+P23(f333(f333(f248(a875),f333(f197(f876(x94041)),x94044)),f333(f197(f876(x94041)),x94043))) % 183.16/183.18 [9458]~P23(f333(f333(f248(a875),f2(a875)),x94583))+~P23(f333(f333(f248(a875),x94584),x94581))+P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),x94581),f44(a875,x94582,x94583))),x94584)),f333(f333(f80(a875),x94581),x94583))) % 183.16/183.18 [9649]~P107(x96492)+~P23(f333(f333(f247(x96492),f333(x96493,f861(x96494,x96493,x96491,x96492))),f333(x96494,f861(x96494,x96493,x96491,x96492))))+P23(f333(f333(f247(f882(x96491,x96492)),x96493),x96494)) % 183.16/183.18 [9752]~P65(x97521)+E(f333(f333(f6(a875,x97521),f333(f333(f18(a875,x97521,x97521),f333(f333(f8(x97521,f882(x97521,x97521),a875),f22(x97521)),x97522)),f333(f333(f8(a875,x97521,a875),x97522),f333(f333(f7(a875,a875,a875),f79(a875)),f77(a875))))),f304(a875,x97523,x97524)),f333(f333(f22(x97521),f333(x97522,x97523)),f333(x97522,f333(f333(f79(a875),x97524),f77(a875)))))+~P23(f333(f333(f247(a875),x97523),x97524)) % 183.16/183.18 [6798]E(f333(f333(f135(x67981),x67982),x67983),x67984)+~E(x67983,f333(f333(f139(x67981),f333(f197(f876(x67981)),x67982)),x67984))+~E(f333(f333(f177(x67981),f333(f197(f876(x67981)),x67982)),x67984),x67982) % 183.16/183.18 [6854]~P59(x68542)+E(x68541,f2(x68542))+E(f333(f333(f291(x68542),f333(f333(f258(x68542),x68543),x68544)),f333(f333(f258(x68542),x68541),x68544)),f333(f333(f258(x68542),f333(f333(f291(x68542),x68543),x68541)),x68544)) % 183.16/183.18 [6990]~E(f333(f197(f876(x69901)),x69903),f333(f197(f876(x69902)),x69904))+~P23(f333(f138(x69901),x69903))+E(f186(x69901,x69902,f333(f180(x69901,x69902),f333(f333(f184(x69901,x69902),x69903),x69904))),f333(f174(x69901),x69903)) % 183.16/183.18 [7009]~P99(x70091)+~P23(f333(f333(f248(x70091),x70093),x70094))+P23(f333(f333(f248(x70091),f333(f333(f104(x70091),x70092),x70093)),x70094)) % 183.16/183.18 [7010]~P99(x70101)+~P23(f333(f333(f248(x70101),x70102),x70104))+P23(f333(f333(f248(x70101),f333(f333(f104(x70101),x70102),x70103)),x70104)) % 183.16/183.18 [7012]~P106(x70121)+~P23(f333(f333(f248(x70121),x70123),x70124))+P23(f333(f333(f248(x70121),f333(f333(f245(x70121),x70122),x70123)),x70124)) % 183.16/183.18 [7014]~P106(x70141)+~P23(f333(f333(f248(x70141),x70142),x70144))+P23(f333(f333(f248(x70141),f333(f333(f245(x70141),x70142),x70143)),x70144)) % 183.16/183.18 [7015]~P99(x70151)+~P23(f333(f333(f247(x70151),x70153),x70154))+P23(f333(f333(f247(x70151),f333(f333(f104(x70151),x70152),x70153)),x70154)) % 183.16/183.18 [7016]~P99(x70161)+~P23(f333(f333(f247(x70161),x70162),x70164))+P23(f333(f333(f247(x70161),f333(f333(f104(x70161),x70162),x70163)),x70164)) % 183.16/183.18 [7018]~P106(x70181)+~P23(f333(f333(f247(x70181),x70183),x70184))+P23(f333(f333(f247(x70181),f333(f333(f245(x70181),x70182),x70183)),x70184)) % 183.16/183.18 [7020]~P106(x70201)+~P23(f333(f333(f247(x70201),x70202),x70204))+P23(f333(f333(f247(x70201),f333(f333(f245(x70201),x70202),x70203)),x70204)) % 183.16/183.18 [7040]~P23(f333(x70403,x70404))+~P23(f333(x70402,x70404))+P23(f333(f333(f333(f104(f882(x70401,a870)),x70402),x70403),x70404)) % 183.16/183.18 [7164]P19(x71641,x71642,x71643)+~P19(x71641,x71644,x71643)+~P23(f333(f333(f247(f882(f874(x71641),a870)),x71644),x71642)) % 183.16/183.18 [7165]P19(x71651,x71652,x71653)+~P19(x71651,x71652,x71654)+~P23(f333(f333(f247(f882(f874(x71651),a870)),x71653),x71654)) % 183.16/183.18 [7536]~P66(x75361)+E(f333(f333(f79(x75361),f333(x75362,x75363)),f333(f333(f6(a875,x75361),x75362),f333(f303(a875,f333(a115,x75363)),x75364))),f333(f333(f6(a875,x75361),x75362),f333(f303(a875,x75363),x75364)))+~P23(f333(f333(f248(a875),x75363),x75364)) % 183.16/183.18 [7564]~P106(x75641)+P23(f333(f333(f248(x75641),x75642),x75643))+~P23(f333(f333(f248(x75641),f333(f333(f246(x75641),x75644),x75642)),x75643)) % 183.16/183.18 [7565]~P106(x75651)+P23(f333(f333(f248(x75651),x75652),x75653))+~P23(f333(f333(f248(x75651),f333(f333(f246(x75651),x75652),x75654)),x75653)) % 183.16/183.18 [7567]~P98(x75671)+P23(f333(f333(f247(x75671),x75672),x75673))+~P23(f333(f333(f247(x75671),f333(f333(f113(x75671),x75674),x75672)),x75673)) % 183.16/183.18 [7569]~P98(x75691)+P23(f333(f333(f247(x75691),x75692),x75693))+~P23(f333(f333(f247(x75691),f333(f333(f113(x75691),x75692),x75694)),x75693)) % 183.16/183.18 [7571]~P106(x75711)+P23(f333(f333(f247(x75711),x75712),x75713))+~P23(f333(f333(f247(x75711),f333(f333(f246(x75711),x75714),x75712)),x75713)) % 183.16/183.18 [7573]~P106(x75731)+P23(f333(f333(f247(x75731),x75732),x75733))+~P23(f333(f333(f247(x75731),f333(f333(f246(x75731),x75732),x75734)),x75733)) % 183.16/183.18 [7649]~P23(f333(f333(f335(x76491),x76492),x76494))+P23(f333(f333(f335(x76491),x76492),x76493))+P23(f333(f333(f335(x76491),x76492),f333(f333(f22(f882(x76491,a870)),x76494),x76493))) % 183.16/183.18 [7735]P23(f333(x77351,x77352))+P23(f333(x77353,x77352))+~P23(f333(f333(f333(f113(f882(x77354,a870)),x77353),x77351),x77352)) % 183.16/183.18 [7746]~P23(f333(f333(f335(x77461),x77462),x77464))+~P23(f333(f333(f335(x77461),x77462),x77463))+P23(f333(f333(f335(x77461),x77462),f333(f333(f104(f882(x77461,a870)),x77463),x77464))) % 183.16/183.18 [7800]~P98(x78001)+~P23(f333(f61(x78001),x78004))+E(f333(f333(f64(x78001,x78001,f113(x78001)),x78002),f333(f333(f311(x78001),x78003),x78004)),f333(f333(f113(x78001),x78003),f333(f333(f64(x78001,x78001,f113(x78001)),x78002),x78004))) % 183.16/183.18 [7801]~P99(x78011)+~P23(f333(f61(x78011),x78014))+E(f333(f333(f64(x78011,x78011,f104(x78011)),x78012),f333(f333(f311(x78011),x78013),x78014)),f333(f333(f104(x78011),x78013),f333(f333(f64(x78011,x78011,f104(x78011)),x78012),x78014))) % 183.16/183.18 [7802]~P106(x78021)+~P23(f333(f61(x78021),x78024))+E(f333(f333(f64(x78021,x78021,f245(x78021)),x78022),f333(f333(f311(x78021),x78023),x78024)),f333(f333(f245(x78021),x78023),f333(f333(f64(x78021,x78021,f245(x78021)),x78022),x78024))) % 183.16/183.18 [7803]~P106(x78031)+~P23(f333(f61(x78031),x78034))+E(f333(f333(f64(x78031,x78031,f246(x78031)),x78032),f333(f333(f311(x78031),x78033),x78034)),f333(f333(f246(x78031),x78033),f333(f333(f64(x78031,x78031,f246(x78031)),x78032),x78034))) % 183.16/183.18 [7804]~P103(x78041)+~P91(x78041)+E(f333(f333(f22(x78041),f333(f333(f80(x78041),f333(f106(x78041),x78042)),x78043)),f333(f333(f80(x78041),f333(f106(x78041),x78042)),x78044)),f333(f333(f80(x78041),f333(f106(x78041),x78042)),f333(f333(f22(x78041),x78043),x78044))) % 183.16/183.18 [7805]~P135(x78051)+~P91(x78051)+E(f333(f333(f79(x78051),f333(f333(f80(x78051),f333(f106(x78051),x78052)),x78053)),f333(f333(f80(x78051),f333(f106(x78051),x78052)),x78054)),f333(f333(f80(x78051),f333(f106(x78051),x78052)),f333(f333(f79(x78051),x78053),x78054))) % 183.16/183.18 [7919]E(x79191,x79192)+P23(f333(f333(f335(x79193),x79191),f333(f174(x79193),x79194)))+~P23(f333(f333(f335(x79193),x79191),f333(f174(x79193),f333(f333(f152(x79193),x79192),x79194)))) % 183.16/183.18 [7944]~P57(x79441)+~E(f333(f197(f876(x79442)),x79443),f333(f197(f876(x79441)),f55(x79441)))+E(f333(f333(f180(x79441,x79442),f333(f333(f184(x79441,x79442),f55(x79441)),x79443)),x79444),f333(f240(x79442),f731(x79444,x79443,x79442,x79441))) % 183.16/183.18 [8098]P49(x80981,x80982,x80983)+~P49(x80981,x80982,x80984)+~P23(f333(f333(f247(f882(f881(x80981,x80982),a870)),x80983),x80984)) % 183.16/183.18 [8143]P23(f333(f333(f335(x81431),x81432),x81433))+P23(f333(f333(f335(x81431),x81432),x81434))+~P23(f333(f333(f335(x81431),x81432),f333(f333(f113(f882(x81431,a870)),x81434),x81433))) % 183.16/183.18 [8154]~P39(x81541,x81544,x81543)+~P23(f333(f333(f335(x81541),x81542),x81544))+P23(f333(f333(f335(f881(x81541,x81541)),f333(f333(f268(x81541,x81541),x81542),x81542)),x81543)) % 183.16/183.18 [8169]~P23(f333(f61(x81692),x81694))+~P23(f333(f61(x81691),x81693))+P23(f333(f61(f881(x81691,x81692)),f333(f333(f270(x81691,x81692),x81693),f333(f16(f882(x81692,a870),x81691),x81694)))) % 183.16/183.18 [8170]~P23(f333(f333(f335(x81701),x81702),x81704))+~P23(f333(f333(f247(f882(x81701,a870)),x81703),x81704))+P23(f333(f333(f247(f882(x81701,a870)),f333(f333(f311(x81701),x81702),x81703)),x81704)) % 183.16/183.18 [8178]~P73(x81782)+~P141(x81782)+E(f333(f333(f9(x81781,x81782),f333(f333(f8(a875,x81782,x81781),f103(x81782)),x81783)),x81784),f333(f103(x81782),f333(f333(f9(x81781,a875),x81783),x81784))) % 183.16/183.18 [8179]~P73(x81792)+~P138(x81792)+E(f333(f333(f9(x81791,x81792),f333(f333(f8(a1,x81792,x81791),f105(x81792)),x81793)),x81794),f333(f105(x81792),f333(f333(f9(x81791,a1),x81793),x81794))) % 183.16/183.18 [8205]E(f333(f333(f22(f882(x82051,a870)),x82052),f333(f333(f22(f882(x82051,a870)),x82053),x82054)),x82054)+~P23(f333(f333(f247(f882(x82051,a870)),x82052),x82053))+~P23(f333(f333(f247(f882(x82051,a870)),x82054),x82052)) % 183.16/183.18 [8300]~P23(f333(f61(x83001),x83004))+E(f333(f333(f22(a875),f333(f333(f6(x83001,a875),x83002),x83003)),f333(f333(f6(x83001,a875),x83002),x83004)),f333(f333(f6(x83001,a875),x83002),f333(f333(f22(f882(x83001,a870)),x83003),x83004)))+~P23(f333(f333(f247(f882(x83001,a870)),x83004),x83003)) % 183.16/183.18 [8458]~P3(x84581,x84584,x84583)+~P23(f333(f333(f335(x84581),x84582),x84584))+P23(f333(f333(f335(x84581),x84582),f333(f287(x84581,x84581,x84583),f333(f333(f311(x84581),x84582),f196(f882(x84581,a870)))))) % 183.16/183.18 [8520]~P23(f333(f333(f247(f882(x85201,a870)),x85202),x85203))+~P23(f333(f333(f247(f882(x85201,a870)),x85202),x85204))+P23(f333(f333(f247(f882(x85201,a870)),x85202),f333(f333(f104(f882(x85201,a870)),x85203),x85204))) % 183.16/183.18 [8616]E(x86161,f196(f882(x86162,a870)))+P23(f333(f61(x86163),x86164))+~P23(f333(f61(f881(x86163,x86162)),f333(f333(f270(x86163,x86162),x86164),f333(f16(f882(x86162,a870),x86163),x86161)))) % 183.16/183.18 [8617]E(x86171,f196(f882(x86172,a870)))+P23(f333(f61(x86173),x86174))+~P23(f333(f61(f881(x86172,x86173)),f333(f333(f270(x86172,x86173),x86171),f333(f16(f882(x86173,a870),x86172),x86174)))) % 183.16/183.18 [8683]P23(f333(f333(f335(x86831),x86832),f322(x86831,x86833)))+~P23(f333(f333(f335(x86831),x86834),f322(x86831,x86833)))+~P23(f333(f333(f335(f881(x86831,x86831)),f333(f333(f268(x86831,x86831),x86832),x86834)),x86833)) % 183.16/183.18 [8735]~P37(x87351,x87354)+P23(f333(f333(f335(f881(x87351,x87351)),f333(f333(f268(x87351,x87351),x87353),x87352)),f309(x87351,x87354)))+P37(x87351,f333(f333(f311(f881(x87351,x87351)),f333(f333(f268(x87351,x87351),x87352),x87353)),x87354)) % 183.16/183.18 [8736]~P52(x87361,x87364)+P23(f333(f333(f335(f881(x87361,x87361)),f333(f333(f268(x87361,x87361),x87363),x87362)),f309(x87361,x87364)))+P52(x87361,f333(f333(f311(f881(x87361,x87361)),f333(f333(f268(x87361,x87361),x87362),x87363)),x87364)) % 183.16/183.18 [8814]~E(x88142,x88143)+~P23(f333(f333(f335(x88141),x88142),f333(f174(x88141),x88144)))+P23(f333(f333(f335(f881(x88141,x88141)),f333(f333(f268(x88141,x88141),x88142),x88143)),f333(f174(f881(x88141,x88141)),f333(f333(f184(x88141,x88141),x88144),x88144)))) % 183.16/183.18 [8896]~E(x88963,x88964)+P23(f333(f333(f272(x88961,x88961,a870),a330),x88962))+~P23(f333(f333(f335(f881(x88961,x88961)),x88962),f333(f174(f881(x88961,x88961)),f333(f333(f184(x88961,x88961),x88963),x88964)))) % 183.16/183.18 [8924]~P23(f333(x89244,x89242))+P23(f333(f333(f333(f333(a204,x89241),x89242),x89243),f478(x89243,x89242,x89241,x89244)))+~P23(f333(f333(f333(f333(a204,f31(x89244,x89241)),x89242),x89243),x89242)) % 183.16/183.18 [8951]P23(f333(f333(f335(f881(f876(x89511),f876(x89511))),f333(f333(f268(f876(x89511),f876(x89511)),x89512),x89513)),f148(x89511,x89514)))+~E(f333(f333(f177(x89511),f333(f197(f876(x89511)),x89512)),x89513),x89512)+~P23(f333(f333(f248(a875),f333(f197(f876(x89511)),x89512)),f333(f197(f876(x89511)),x89513))) % 183.16/183.18 [9049]~P23(f333(f61(x90491),x90494))+P23(f333(f333(f335(x90491),f803(x90492,x90493,x90494,x90491)),x90494))+P23(f333(f61(x90493),f333(f333(f41(x90491,f882(x90493,a870)),x90494),x90492))) % 183.16/183.18 [9050]~P23(f333(f61(x90501),x90504))+P23(f333(f333(f335(x90501),f842(x90502,x90503,x90504,x90501)),x90504))+P23(f333(f61(x90503),f333(f333(f41(x90501,f882(x90503,a870)),x90504),x90502))) % 183.16/183.18 [9131]P23(f333(f333(f335(f881(x91311,x91311)),x91312),f333(f333(f290(x91311,x91311,x91311),x91313),f309(x91311,x91313))))+~P23(f333(f333(f248(a875),f2(a875)),x91314))+~P23(f333(f333(f335(f881(x91311,x91311)),x91312),f333(f333(f191(f881(x91311,x91311),a870),x91314),x91313))) % 183.16/183.18 [9139]~P37(x91391,x91392)+~P23(f333(f333(f335(f881(x91391,x91391)),f333(f333(f268(x91391,x91391),x91394),x91393)),x91392))+~P23(f333(f333(f335(f881(x91391,x91391)),f333(f333(f268(x91391,x91391),x91393),x91394)),x91392)) % 183.16/183.18 [9265]~P23(f333(f61(x92651),x92654))+E(f333(f333(f6(x92651,a875),f333(f333(f8(f882(x92652,a870),a875,x92651),f37(x92652)),x92653)),x92654),f333(f37(f881(x92651,x92652)),f333(f333(f270(x92651,x92652),x92654),x92653)))+P23(f333(f333(f335(x92651),f578(x92653,x92652,x92654,x92651)),x92654)) % 183.16/183.18 [9269]~P23(f333(f138(x92691),x92692))+P23(f333(f138(x92691),f333(f333(f160(x92691,x92692),x92693),x92694)))+P23(f333(f333(f335(x92691),x92694),f333(f333(f22(f882(x92691,a870)),f333(f174(x92691),x92692)),f333(f333(f311(x92691),f333(f333(f166(x92691),x92692),x92693)),f196(f882(x92691,a870)))))) % 183.16/183.18 [9285]~P23(f333(f61(x92852),x92853))+~P23(f333(f61(x92851),f333(x92854,f803(x92854,x92851,x92853,x92852))))+P23(f333(f61(x92851),f333(f333(f41(x92852,f882(x92851,a870)),x92853),x92854))) % 183.16/183.18 [9286]~P23(f333(f61(x92862),x92863))+~P23(f333(f61(x92861),f333(x92864,f842(x92864,x92861,x92863,x92862))))+P23(f333(f61(x92861),f333(f333(f41(x92862,f882(x92861,a870)),x92863),x92864))) % 183.16/183.18 [9365]~P23(f333(f333(f335(f881(x93651,x93651)),x93652),f333(f333(f290(x93651,x93651,x93651),x93654),f309(x93651,x93654))))+P23(f333(f333(f335(f881(x93651,x93651)),x93652),f333(f333(f290(x93651,x93651,x93651),x93653),f309(x93651,x93653))))+~P23(f333(f333(f247(f882(f881(x93651,x93651),a870)),x93654),x93653)) % 183.16/183.18 [9372]E(f333(f333(f177(x93721),f680(x93724,x93723,x93722,x93721)),x93723),f333(f333(f177(x93721),f680(x93724,x93723,x93722,x93721)),x93722))+~P23(f333(f333(f335(f881(f876(x93721),f876(x93721))),f333(f333(f268(f876(x93721),f876(x93721)),x93722),x93723)),f148(x93721,x93724)))+E(f333(f333(f177(x93721),f333(f197(f876(x93721)),x93722)),x93723),x93722) % 183.16/183.18 [9389]~P23(f333(f61(x93891),x93894))+E(f333(f333(f6(x93891,a875),f333(f333(f8(f882(x93892,a870),a875,x93891),f37(x93892)),x93893)),x93894),f333(f37(f881(x93891,x93892)),f333(f333(f270(x93891,x93892),x93894),x93893)))+~P23(f333(f61(x93892),f333(x93893,f578(x93893,x93892,x93894,x93891)))) % 183.16/183.18 [9393]~E(f333(f197(f876(x93931)),x93933),f333(f197(f876(x93931)),x93932))+P23(f333(f333(f335(f881(f876(x93931),f876(x93931))),f333(f333(f268(f876(x93931),f876(x93931)),x93932),x93933)),f159(x93931,x93934)))+P23(f333(f333(f335(f881(x93931,x93931)),f684(x93934,x93933,x93932,x93931)),f333(f174(f881(x93931,x93931)),f333(f333(f184(x93931,x93931),x93932),x93933)))) % 183.16/183.18 [9470]~P23(f333(f333(f335(f881(f876(x94701),f876(x94701))),f333(f333(f268(f876(x94701),f876(x94701)),x94702),x94703)),f148(x94701,x94704)))+E(f333(f333(f177(x94701),f333(f197(f876(x94701)),x94702)),x94703),x94702)+P23(f333(f333(f248(a875),f680(x94704,x94703,x94702,x94701)),f333(f333(f245(a875),f333(f197(f876(x94701)),x94702)),f333(f197(f876(x94701)),x94703)))) % 183.16/183.18 [9471]E(f333(f180(x94711,x94712),x94713),f333(f180(x94711,x94712),x94714))+~E(f333(f174(x94711),f333(f333(f155(f881(x94711,x94712),x94711),f267(x94711,x94712)),x94713)),f333(f174(x94711),f333(f333(f155(f881(x94711,x94712),x94711),f267(x94711,x94712)),x94714)))+P23(f333(f333(f335(x94711),f769(x94713,x94714,x94712,x94711)),f333(f174(x94711),f333(f333(f155(f881(x94711,x94712),x94711),f267(x94711,x94712)),x94714)))) % 183.16/183.18 [9487]~P23(f333(x94871,x94874))+P23(f333(f333(f333(f333(a204,f31(x94871,x94872)),f478(x94873,x94874,x94872,x94871)),x94873),x94874))+~P23(f333(f333(f333(f333(a204,f31(x94871,x94872)),x94874),x94873),x94874)) % 183.16/183.18 [9492]~P23(f333(f333(f335(f881(f876(x94921),f876(x94921))),f333(f333(f268(f876(x94921),f876(x94921)),x94922),x94923)),f148(x94921,x94924)))+P23(f333(f333(f248(a875),f333(f197(f876(x94921)),x94922)),f333(f197(f876(x94921)),x94923)))+P23(f333(f333(f248(a875),f680(x94924,x94923,x94922,x94921)),f333(f333(f245(a875),f333(f197(f876(x94921)),x94922)),f333(f197(f876(x94921)),x94923)))) % 183.16/183.18 [9789]~P23(f333(f333(f333(x97891,f734(x97891,x97894,x97893,x97892)),f735(x97891,x97894,x97893,x97892)),f736(x97891,x97894,x97893,x97892)))+P23(f333(f333(f333(x97891,x97892),x97893),x97894))+~P23(f333(f321(f881(f882(a1,f879(f876(a329))),f881(a1,a1)),a319),f333(f333(f268(f882(a1,f879(f876(a329))),f881(a1,a1)),x97892),f333(f333(f268(a1,a1),x97893),x97894)))) % 183.16/183.18 [9868]P23(f333(f333(f333(x98681,x98682),x98683),x98684))+P23(f333(f321(f881(f882(a1,f879(f876(a329))),f881(a1,a1)),a319),f333(f333(f268(f882(a1,f879(f876(a329))),f881(a1,a1)),f734(x98681,x98684,x98683,x98682)),f333(f333(f268(a1,a1),f735(x98681,x98684,x98683,x98682)),f736(x98681,x98684,x98683,x98682)))))+~P23(f333(f321(f881(f882(a1,f879(f876(a329))),f881(a1,a1)),a319),f333(f333(f268(f882(a1,f879(f876(a329))),f881(a1,a1)),x98682),f333(f333(f268(a1,a1),x98683),x98684)))) % 183.16/183.18 [9907]~P23(f333(f333(f335(f881(f876(x99071),f876(x99071))),f333(f333(f268(f876(x99071),f876(x99071)),x99072),x99073)),f148(x99071,x99074)))+E(f333(f333(f177(x99071),f333(f197(f876(x99071)),x99072)),x99073),x99072)+P23(f333(f333(f335(f881(x99071,x99071)),f333(f333(f268(x99071,x99071),f333(f333(f166(x99071),x99072),f680(x99074,x99073,x99072,x99071))),f333(f333(f166(x99071),x99073),f680(x99074,x99073,x99072,x99071)))),x99074)) % 183.16/183.18 [9908]~P23(f333(f333(f335(f881(f876(x99081),f876(x99081))),f333(f333(f268(f876(x99081),f876(x99081)),x99082),x99083)),f148(x99081,x99084)))+P23(f333(f333(f248(a875),f333(f197(f876(x99081)),x99082)),f333(f197(f876(x99081)),x99083)))+P23(f333(f333(f335(f881(x99081,x99081)),f333(f333(f268(x99081,x99081),f333(f333(f166(x99081),x99082),f680(x99084,x99083,x99082,x99081))),f333(f333(f166(x99081),x99083),f680(x99084,x99083,x99082,x99081)))),x99084)) % 183.16/183.18 [9965]~E(f333(f197(f876(x99651)),x99652),f333(f197(f876(x99651)),x99653))+P23(f333(f333(f335(f881(f876(x99651),f876(x99651))),f333(f333(f268(f876(x99651),f876(x99651)),x99652),x99653)),f159(x99651,x99654)))+~P23(f333(f333(f335(f881(x99651,x99651)),f333(f333(f268(x99651,x99651),f333(f333(f166(x99651),x99652),f671(x99654,x99653,x99652,x99651))),f333(f333(f166(x99651),x99653),f671(x99654,x99653,x99652,x99651)))),x99654)) % 183.16/183.18 [10101]~P66(x101011)+~P23(f333(f61(x101012),x101014))+E(f333(f167(x101011),f333(f333(f155(x101012,x101011),x101013),f89(f876(x101012),f333(f333(f18(f876(x101012),a870,a870),f333(f333(f8(a870,f882(a870,a870),f876(x101012)),a331),f333(f333(f7(f876(x101012),f882(x101012,a870),a870),f333(f333(f8(f882(x101012,a870),f882(f882(x101012,a870),a870),f876(x101012)),a330),f174(x101012))),x101014))),f138(x101012))))),f238(x101012,x101011,x101013,x101014)) % 183.16/183.18 [7376]~P58(x73762)+E(x73761,f2(x73762))+E(f333(f333(f291(x73762),f333(f333(f79(x73762),x73763),f333(f333(f80(x73762),x73764),x73761))),x73761),f333(f333(f79(x73762),x73764),f333(f333(f291(x73762),x73763),x73761))) % 183.16/183.18 [7377]~P55(x73772)+E(x73771,f2(x73772))+E(f333(f333(f38(x73772),f333(f333(f79(x73772),x73773),f333(f333(f80(x73772),x73774),x73771))),x73771),f333(f333(f79(x73772),x73774),f333(f333(f38(x73772),x73773),x73771))) % 183.16/183.18 [7378]~P55(x73782)+E(x73781,f2(x73782))+E(f333(f333(f38(x73782),f333(f333(f79(x73782),x73783),f333(f333(f80(x73782),x73781),x73784))),x73781),f333(f333(f79(x73782),x73784),f333(f333(f38(x73782),x73783),x73781))) % 183.16/183.18 [7612]~P59(x76122)+E(x76121,f2(x76122))+E(f333(f333(f291(x76122),f333(f333(f22(x76122),x76123),f333(f333(f80(x76122),x76121),x76124))),x76121),f333(f333(f22(x76122),f333(f333(f291(x76122),x76123),x76121)),x76124)) % 183.16/183.18 [7613]~P58(x76132)+E(x76131,f2(x76132))+E(f333(f333(f291(x76132),f333(f333(f79(x76132),x76133),f333(f333(f80(x76132),x76134),x76131))),x76131),f333(f333(f79(x76132),f333(f333(f291(x76132),x76133),x76131)),x76134)) % 183.16/183.18 [7614]~P59(x76142)+E(x76141,f2(x76142))+E(f333(f333(f291(x76142),f333(f333(f79(x76142),x76143),f333(f333(f80(x76142),x76141),x76144))),x76141),f333(f333(f79(x76142),f333(f333(f291(x76142),x76143),x76141)),x76144)) % 183.16/183.18 [8328]~P23(f333(f161(x83281,x83283),x83284))+~P23(f333(f161(x83281,x83282),x83284))+P23(f333(f161(x83281,f333(f333(f104(f882(x83281,a870)),x83282),x83283)),x83284)) % 183.16/183.18 [8697]~E(f333(f333(f290(x86971,x86971,x86971),x86972),x86974),f196(f882(f881(x86971,x86971),a870)))+~E(f333(f333(f290(x86971,x86971,x86971),x86972),x86973),f196(f882(f881(x86971,x86971),a870)))+E(f333(f333(f290(x86971,x86971,x86971),x86972),f333(f333(f113(f882(f881(x86971,x86971),a870)),x86973),x86974)),f196(f882(f881(x86971,x86971),a870))) % 183.16/183.18 [8815]~P23(f333(f333(f247(f882(x88151,a870)),x88153),x88154))+~P23(f333(f333(f247(f882(x88151,a870)),x88152),x88154))+P23(f333(f333(f247(f882(x88151,a870)),f333(f333(f113(f882(x88151,a870)),x88152),x88153)),x88154)) % 183.16/183.18 [9195]~P23(f333(f61(x91951),x91954))+~P23(f333(f61(x91951),x91953))+E(f333(f333(f22(a875),f333(f333(f79(a875),f333(f333(f6(x91951,a875),x91952),x91953)),f333(f333(f6(x91951,a875),x91952),x91954))),f333(f333(f6(x91951,a875),x91952),f333(f333(f104(f882(x91951,a870)),x91953),x91954))),f333(f333(f6(x91951,a875),x91952),f333(f333(f113(f882(x91951,a870)),x91953),x91954))) % 183.16/183.18 [9282]~P23(f333(f333(f335(x92821),x92823),x92822))+~P23(f333(f333(f247(f882(x92821,a870)),x92822),f333(f333(f311(x92821),x92823),x92824)))+P23(f333(f333(f247(f882(x92821,a870)),f333(f333(f22(f882(x92821,a870)),x92822),f333(f333(f311(x92821),x92823),f196(f882(x92821,a870))))),x92824)) % 183.16/183.18 [9442]~P23(f333(f333(f335(x94421),x94423),x94422))+P23(f333(f333(f247(f882(x94421,a870)),x94422),f333(f333(f311(x94421),x94423),x94424)))+~P23(f333(f333(f247(f882(x94421,a870)),f333(f333(f22(f882(x94421,a870)),x94422),f333(f333(f311(x94421),x94423),f196(f882(x94421,a870))))),x94424)) % 183.16/183.18 [9532]~P23(f333(f333(f248(a875),x95322),x95324))+~P23(f333(f333(f247(a875),x95321),x95323))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x95321),x95322)),f333(f333(f268(a875,a875),x95323),x95324))),a34)) % 183.16/183.18 [9533]~P23(f333(f333(f247(a875),x95332),x95334))+~P23(f333(f333(f247(a875),x95331),x95333))+P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),f333(f333(f268(a875,a875),x95331),x95332)),f333(f333(f268(a875,a875),x95333),x95334))),a69)) % 183.16/183.18 [9828]~P23(f333(f333(f335(f876(x98281)),x98284),f162(x98281,x98283)))+~P23(f333(f333(f335(f876(x98281)),x98284),f162(x98281,x98282)))+P23(f333(f161(x98281,f333(f333(f104(f882(x98281,a870)),f333(f333(f7(x98281,f882(x98281,a870),a870),f335(x98281)),x98282)),f333(f333(f7(x98281,f882(x98281,a870),a870),f335(x98281)),x98283))),x98284)) % 183.16/183.18 [9930]~P20(x99301,f882(f882(x99301,a870),a870),f333(f333(f7(x99301,f882(f881(x99301,x99301),a870),f882(f882(x99301,a870),a870)),f333(f333(f8(f882(x99301,a870),f882(f882(f881(x99301,x99301),a870),f882(f882(x99301,a870),a870)),x99301),f60(x99301)),f333(f333(f7(x99301,f882(x99301,a870),f882(x99301,a870)),f311(x99301)),f196(f882(x99301,a870))))),x99303),x99302)+~P23(f333(f333(f335(x99301),x99304),x99302))+E(f333(f333(f22(f882(f882(x99301,a870),a870)),f333(f333(f60(x99301),x99302),x99303)),f333(f333(f60(x99301),f333(f333(f311(x99301),x99304),f196(f882(x99301,a870)))),x99303)),f333(f333(f60(x99301),f333(f333(f22(f882(x99301,a870)),x99302),f333(f333(f311(x99301),x99304),f196(f882(x99301,a870))))),x99303)) % 183.16/183.18 [10065]~P39(x100651,x100652,x100654)+~P23(f333(f333(f335(f881(x100651,x100651)),x100653),x100654))+P23(f333(f333(f272(x100651,x100651,a870),f333(f333(f7(x100651,f882(x100651,a870),f882(x100651,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x100651,a870),f882(x100651,a870)),x100651),f8(a870,a870,x100651)),f333(f333(f8(a870,f882(a870,a870),x100651),a331),f333(f333(f7(x100651,f882(x100651,a870),a870),f335(x100651)),x100652)))),f333(f333(f7(x100651,f882(x100651,a870),a870),f335(x100651)),x100652))),x100653)) % 183.16/183.18 [10077]P23(f333(f61(x100771),x100772))+~P23(f333(f61(x100773),f333(f312(x100771,x100773,x100774),x100772)))+~P23(f333(f61(x100771),f333(f253(x100771),f333(f333(f18(x100771,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100771),a331),f333(f333(f7(x100771,f882(x100771,a870),a870),f335(x100771)),x100772))),f333(f333(f7(x100771,x100773,a870),f333(f333(f8(x100773,f882(x100773,a870),x100771),a330),x100774)),f333(x100774,f496(x100774,x100773,x100772,x100771))))))) % 183.16/183.18 [8080]~P59(x80802)+E(x80801,f2(x80802))+E(f333(f333(f291(x80802),f333(f333(f22(x80802),f333(f333(f80(x80802),x80801),x80803)),x80804)),x80801),f333(f333(f22(x80802),x80803),f333(f333(f291(x80802),x80804),x80801))) % 183.16/183.18 [8081]~P59(x80812)+E(x80811,f2(x80812))+E(f333(f333(f291(x80812),f333(f333(f79(x80812),f333(f333(f80(x80812),x80811),x80813)),x80814)),x80811),f333(f333(f79(x80812),x80813),f333(f333(f291(x80812),x80814),x80811))) % 183.16/183.18 [8981]~E(f333(f333(f290(x89811,x89811,x89811),x89813),x89814),f196(f882(f881(x89811,x89811),a870)))+~E(f333(f333(f290(x89811,x89811,x89811),x89812),x89814),f196(f882(f881(x89811,x89811),a870)))+E(f333(f333(f290(x89811,x89811,x89811),f333(f333(f113(f882(f881(x89811,x89811),a870)),x89812),x89813)),x89814),f196(f882(f881(x89811,x89811),a870))) % 183.16/183.18 [10007]~P142(x100071)+~P142(x100072)+E(f333(f333(f318(x100071),f333(f333(f7(x100071,a102,f879(f876(a329))),f333(f333(f8(f882(x100072,f879(f876(a329))),f882(a102,f879(f876(a329))),x100071),f318(x100072)),f333(f333(f8(f882(x100072,f881(x100071,x100072)),f882(x100072,f879(f876(a329))),x100071),f333(f8(f881(x100071,x100072),f879(f876(a329)),x100072),x100073)),f268(x100071,x100072)))),x100074)),x100074),f333(f333(f318(f881(x100071,x100072)),x100073),x100074)) % 183.16/183.18 [9737]~P23(f333(f161(x97371,x97373),x97374))+~P23(f333(f161(x97371,x97372),x97374))+P23(f333(f161(x97371,f333(f333(f18(x97371,a870,a870),f333(f333(f8(a870,f882(a870,a870),x97371),a331),x97372)),x97373)),x97374)) % 183.16/183.18 [9999]P23(f333(x99991,f493(x99992,x99993,x99991,x99994)))+~P23(f333(f61(x99994),f333(f253(x99994),x99991)))+P23(f333(f61(x99993),f333(f253(x99993),f333(f333(f8(f882(x99994,a870),a870,x99993),f86(x99994)),f333(f333(f8(f882(x99994,a870),f882(x99994,a870),x99993),f333(f18(x99994,a870,a870),f333(f333(f8(a870,f882(a870,a870),x99994),a331),x99991))),x99992))))) % 183.16/183.18 [10020]~P23(f333(f61(x100202),f333(f253(x100202),x100203)))+~P23(f333(f61(x100201),f333(f253(x100201),f333(f333(f7(x100201,x100202,a870),x100204),f493(x100204,x100201,x100203,x100202)))))+P23(f333(f61(x100201),f333(f253(x100201),f333(f333(f8(f882(x100202,a870),a870,x100201),f86(x100202)),f333(f333(f8(f882(x100202,a870),f882(x100202,a870),x100201),f333(f18(x100202,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100202),a331),x100203))),x100204))))) % 183.16/183.18 [5033]~E(x50332,x50334)+E(f171(x50331,x50332,x50333),f171(x50331,x50334,x50335))+~E(x50332,f2(a875)) % 183.16/183.18 [5285]E(x52851,x52852)+~E(f171(x52854,x52853,x52851),f171(x52854,x52855,x52852))+E(x52853,f2(a875)) % 183.16/183.18 [6516]E(x65161,x65162)+~E(f333(x65163,x65161),f333(x65163,x65162))+~P20(x65164,x65165,x65163,f256(f882(x65164,a870))) % 183.16/183.18 [6676]~E(f333(x66763,x66765),f209(x66762))+~E(f333(x66764,x66765),f209(x66762))+E(f333(f187(x66761,x66762,x66763,x66764),x66765),f209(x66762)) % 183.16/183.18 [7411]E(x74111,x74112)+~P20(x74113,x74114,x74115,f256(f882(x74113,a870)))+~E(f333(f312(x74113,x74114,x74115),x74111),f333(f312(x74113,x74114,x74115),x74112)) % 183.16/183.18 [7666]P20(x76662,x76663,f348(x76664,x76663,x76662,x76661),x76661)+~E(f333(f312(x76663,x76662,x76665),x76664),x76661)+E(x76661,f196(f882(x76662,a870))) % 183.16/183.18 [8216]~P23(f333(f333(x82163,x82162),x82165))+~P23(f333(f333(x82163,x82164),x82162))+P23(f333(f333(f335(x82161),x82162),f300(x82161,x82163,x82164,x82165))) % 183.16/183.18 [8217]~P23(f333(f333(x82173,x82172),x82175))+~P23(f333(f333(x82173,x82174),x82172))+P23(f333(f333(f335(x82171),x82172),f297(x82171,x82173,x82174,x82175))) % 183.16/183.18 [8772]~P20(x87721,x87723,x87725,f256(f882(x87721,a870)))+~P20(x87723,x87722,x87724,f256(f882(x87723,a870)))+P20(x87721,x87722,f333(f72(x87723,x87722,x87721,x87724),x87725),f256(f882(x87721,a870))) % 183.16/183.18 [9341]P23(f333(f333(f335(f881(x93411,x93411)),f333(f333(f268(x93411,x93411),x93412),x93413)),f309(x93411,x93414)))+~P23(f333(f333(f335(f881(x93411,x93411)),f333(f333(f268(x93411,x93411),x93412),x93415)),f309(x93411,x93414)))+~P23(f333(f333(f335(f881(x93411,x93411)),f333(f333(f268(x93411,x93411),x93415),x93413)),f309(x93411,x93414))) % 183.16/183.18 [9379]~P106(x93792)+~P23(f333(f138(x93791),x93795))+P23(f333(f138(x93791),f150(x93791,x93792,x93793,x93794,x93795))) % 183.16/183.18 [5356]~E(x53562,f116(x53561))+E(f333(f333(f135(x53561),x53562),x53563),f333(f333(f152(x53561),x53564),x53565))+~E(x53563,f333(f333(f152(x53561),x53564),x53565)) % 183.16/183.18 [5357]~E(x53572,f116(x53571))+E(f333(f333(f135(x53571),x53572),x53573),f333(f333(f152(x53571),x53574),x53575))+~E(f333(f333(f152(x53571),x53574),x53575),x53573) % 183.16/183.18 [6473]~E(f333(f197(f876(x64731)),x64735),f333(f197(f876(x64732)),x64734))+E(f333(f333(f155(f881(x64731,x64732),x64732),f271(x64731,x64732)),x64733),x64734)+~E(f333(f333(f184(x64731,x64732),x64735),x64734),x64733) % 183.16/183.18 [6474]~E(f333(f197(f876(x64741)),x64744),f333(f197(f876(x64742)),x64745))+E(f333(f333(f155(f881(x64741,x64742),x64741),f267(x64741,x64742)),x64743),x64744)+~E(f333(f333(f184(x64741,x64742),x64744),x64745),x64743) % 183.16/183.18 [6949]~P106(x69491)+~P28(x69491,f333(f333(f155(x69492,x69491),x69493),x69495))+P28(x69491,f333(f333(f155(x69492,x69491),x69493),f333(f137(x69492,x69494),x69495))) % 183.16/183.18 [6996]~P23(f333(x69963,x69965))+~P23(f333(f333(x69962,x69964),x69965))+P23(f333(f333(f94(x69961,x69962,x69963),x69964),x69965)) % 183.16/183.18 [7093]~P106(x70931)+P28(x70931,f333(f333(f155(x70932,x70931),x70933),f172(x70932,x70934,x70935)))+~P28(x70931,f333(f333(f155(x70932,x70931),x70933),x70935)) % 183.16/183.18 [7116]~P49(x71163,x71162,x71165)+~P49(x71161,x71163,x71164)+P49(x71161,x71162,f333(f333(f290(x71161,x71163,x71162),x71164),x71165)) % 183.16/183.18 [7208]E(x72081,x72082)+~P20(x72083,x72084,x72085,f256(f882(x72083,a870)))+~E(f333(f333(f155(x72083,x72084),x72085),x72081),f333(f333(f155(x72083,x72084),x72085),x72082)) % 183.16/183.18 [7362]~P23(f333(f333(f248(a875),x73621),f333(x73623,x73625)))+P23(f333(f333(f248(a875),x73621),f156(x73622,x73623,x73624)))+~P23(f333(f333(f335(x73622),x73625),f333(f174(x73622),x73624))) % 183.16/183.18 [7363]~P23(f333(f333(f247(a875),x73631),f333(x73633,x73635)))+P23(f333(f333(f247(a875),x73631),f156(x73632,x73633,x73634)))+~P23(f333(f333(f335(x73632),x73635),f333(f174(x73632),x73634))) % 183.16/183.18 [7769]P23(f333(x77691,x77692))+~P23(f333(x77691,x77693))+~P23(f333(f333(f335(x77694),x77692),f333(f174(x77694),f171(x77694,x77695,x77693)))) % 183.16/183.18 [7770]P23(f333(x77701,x77702))+~P23(f333(x77701,x77703))+~P23(f333(f333(f335(x77704),x77703),f333(f174(x77704),f171(x77704,x77705,x77702)))) % 183.16/183.18 [7775]~P108(x77751)+P23(f333(f333(f247(f882(x77751,a870)),f304(x77751,x77752,x77753)),f304(x77751,x77754,x77755)))+P23(f333(f333(f247(x77751),x77752),x77753)) % 183.16/183.18 [7798]~P26(x77981)+P23(f333(f333(f247(x77981),f333(f333(f42(x77982,x77981),x77983),x77984)),f333(x77984,x77985)))+~P23(f333(f333(f335(x77982),x77985),x77983)) % 183.16/183.18 [7865]~P20(x78651,x78652,x78654,x78653)+E(f333(f76(x78651,x78652,x78653,x78654),f333(x78654,x78655)),x78655)+~P23(f333(f333(f335(x78651),x78655),x78653)) % 183.16/183.18 [8068]~P23(f333(x80681,x80685))+P23(f333(x80681,f418(x80681,x80682,x80683,x80684)))+~P23(f333(f333(f335(x80684),x80685),x80683)) % 183.16/183.18 [8069]~P23(f333(x80691,x80695))+P23(f333(x80691,f418(x80691,x80692,x80693,x80694)))+~P23(f333(f333(f335(x80694),x80695),x80692)) % 183.16/183.18 [8167]P23(f333(f61(x81671),x81672))+~P23(f333(f61(x81673),x81674))+~P23(f333(f333(f247(f882(x81671,a870)),x81672),f333(f312(x81673,x81671,x81675),x81674))) % 183.16/183.18 [8332]E(x83321,x83322)+~P20(x83323,x83324,x83325,f333(f333(f113(f882(x83323,a870)),f333(f174(x83323),x83321)),f333(f174(x83323),x83322)))+~E(f333(f333(f155(x83323,x83324),x83325),x83321),f333(f333(f155(x83323,x83324),x83325),x83322)) % 183.16/183.18 [8386]~P108(x83861)+~P23(f333(f333(f248(f882(x83861,a870)),f304(x83861,x83864,x83865)),f304(x83861,x83862,x83863)))+P23(f333(f333(f247(x83861),x83862),x83863)) % 183.16/183.18 [8456]~P20(x84561,x84564,x84565,f256(f882(x84561,a870)))+~P23(f333(f333(f335(x84564),f333(x84565,x84562)),f333(f312(x84561,x84564,x84565),x84563)))+P23(f333(f333(f335(x84561),x84562),x84563)) % 183.16/183.18 [8533]P23(f333(x85331,x85332))+~P23(f333(x85331,f378(x85331,x85333,x85334,x85335)))+~P23(f333(f333(f335(x85335),x85332),x85334)) % 183.16/183.18 [8534]P23(f333(x85341,x85342))+~P23(f333(x85341,f378(x85341,x85343,x85344,x85345)))+~P23(f333(f333(f335(x85345),x85342),x85343)) % 183.16/183.18 [8812]~P20(x88122,x88123,x88121,x88124)+E(f333(x88121,f333(f76(x88122,x88123,x88124,x88121),x88125)),x88125)+~P23(f333(f333(f335(x88123),x88125),f333(f312(x88122,x88123,x88121),x88124))) % 183.16/183.18 [8918]E(x89181,f116(x89182))+E(f333(f333(f152(x89182),x89183),f697(x89184,x89183,x89185,x89181,x89182)),x89181)+~E(f333(f333(f135(x89182),x89181),x89185),f333(f333(f152(x89182),x89183),x89184)) % 183.16/183.18 [8919]E(x89191,f116(x89192))+E(f333(f333(f152(x89192),x89193),f698(x89194,x89191,x89195,x89193,x89192)),x89191)+~E(f333(f333(f135(x89192),x89191),x89194),f333(f333(f152(x89192),x89193),x89195)) % 183.16/183.18 [8937]E(f333(f333(f152(x89372),x89373),f697(x89374,x89373,x89371,x89375,x89372)),x89375)+~E(f333(f333(f135(x89372),x89375),x89371),f333(f333(f152(x89372),x89373),x89374))+E(x89371,f333(f333(f152(x89372),x89373),x89374)) % 183.16/183.18 [8938]E(f333(f333(f152(x89381),x89382),f698(x89384,x89385,x89383,x89382,x89381)),x89385)+~E(f333(f333(f135(x89381),x89385),x89384),f333(f333(f152(x89381),x89382),x89383))+E(f333(f333(f152(x89381),x89382),x89383),x89384) % 183.16/183.18 [9019]~E(f333(f312(x90193,x90192,x90194),f256(f882(x90193,a870))),f256(f882(x90192,a870)))+~E(f333(f312(x90191,x90193,x90195),f256(f882(x90191,a870))),f256(f882(x90193,a870)))+E(f333(f312(x90191,x90192,f333(f72(x90193,x90192,x90191,x90194),x90195)),f256(f882(x90191,a870))),f256(f882(x90192,a870))) % 183.16/183.18 [9386]E(x93861,f116(x93862))+~E(f333(f333(f135(x93862),x93861),x93863),f333(f333(f152(x93862),x93865),x93864))+E(f333(f333(f135(x93862),f698(x93863,x93861,x93864,x93865,x93862)),x93863),x93864) % 183.16/183.18 [9387]E(x93871,f116(x93872))+~E(f333(f333(f135(x93872),x93871),x93875),f333(f333(f152(x93872),x93874),x93873))+E(f333(f333(f135(x93872),f697(x93873,x93874,x93875,x93871,x93872)),x93875),x93873) % 183.16/183.18 [9394]E(f333(f333(f135(x93942),f697(x93944,x93943,x93941,x93945,x93942)),x93941),x93944)+~E(f333(f333(f135(x93942),x93945),x93941),f333(f333(f152(x93942),x93943),x93944))+E(x93941,f333(f333(f152(x93942),x93943),x93944)) % 183.16/183.18 [9395]~E(f333(f333(f135(x93951),x93955),x93954),f333(f333(f152(x93951),x93952),x93953))+E(f333(f333(f135(x93951),f698(x93954,x93955,x93953,x93952,x93951)),x93954),x93953)+E(f333(f333(f152(x93951),x93952),x93953),x93954) % 183.16/183.18 [9396]E(f333(f333(f135(x93961),x93965),f700(x93963,x93962,x93964,x93965,x93961)),x93962)+E(f333(f333(f135(x93961),x93962),f699(x93963,x93962,x93964,x93965,x93961)),x93965)+~E(f333(f333(f135(x93961),x93965),x93964),f333(f333(f135(x93961),x93962),x93963)) % 183.16/183.18 [9428]~P106(x94281)+P28(x94281,f333(f333(f155(x94282,x94281),x94283),f150(x94282,x94281,x94283,x94284,x94285)))+~P28(x94281,f333(f333(f155(x94282,x94281),x94283),x94285)) % 183.16/183.18 [9439]~P53(x94395,x94391,x94394,x94393)+P23(f333(f333(x94391,x94392),f558(x94393,x94394,x94391,x94395,x94392)))+~P23(f333(f333(f335(x94395),x94392),x94394)) % 183.16/183.18 [9544]~P23(f333(f333(f335(f881(x95441,x95441)),f333(f333(f268(x95441,x95441),x95445),x95443)),f309(x95441,x95444)))+P23(f333(f333(f335(f881(x95441,x95441)),f333(f333(f268(x95441,x95441),x95442),x95443)),f333(f333(f290(x95441,x95441,x95441),x95444),f309(x95441,x95444))))+~P23(f333(f333(f335(f881(x95441,x95441)),f333(f333(f268(x95441,x95441),x95442),x95445)),f333(f333(f290(x95441,x95441,x95441),x95444),f309(x95441,x95444)))) % 183.16/183.18 [9545]~P23(f333(f333(f335(f881(x95451,x95451)),f333(f333(f268(x95451,x95451),x95452),x95455)),f309(x95451,x95454)))+P23(f333(f333(f335(f881(x95451,x95451)),f333(f333(f268(x95451,x95451),x95452),x95453)),f333(f333(f290(x95451,x95451,x95451),x95454),f309(x95451,x95454))))+~P23(f333(f333(f335(f881(x95451,x95451)),f333(f333(f268(x95451,x95451),x95455),x95453)),f333(f333(f290(x95451,x95451,x95451),x95454),f309(x95451,x95454)))) % 183.16/183.18 [9548]P23(f333(f333(f335(f881(f876(x95481),f876(x95481))),f333(f333(f268(f876(x95481),f876(x95481)),x95482),x95483)),f159(x95481,f309(x95481,x95484))))+~P23(f333(f333(f335(f881(f876(x95481),f876(x95481))),f333(f333(f268(f876(x95481),f876(x95481)),x95482),x95485)),f159(x95481,f309(x95481,x95484))))+~P23(f333(f333(f335(f881(f876(x95481),f876(x95481))),f333(f333(f268(f876(x95481),f876(x95481)),x95485),x95483)),f159(x95481,f309(x95481,x95484)))) % 183.16/183.18 [9552]E(f333(f333(f135(x95521),x95522),f699(x95523,x95522,x95524,x95525,x95521)),x95525)+E(f333(f333(f135(x95521),f700(x95523,x95522,x95524,x95525,x95521)),x95523),x95524)+~E(f333(f333(f135(x95521),x95522),x95523),f333(f333(f135(x95521),x95525),x95524)) % 183.16/183.18 [9553]E(f333(f333(f135(x95531),x95532),f700(x95533,x95534,x95535,x95532,x95531)),x95534)+E(f333(f333(f135(x95531),f699(x95533,x95534,x95535,x95532,x95531)),x95535),x95533)+~E(f333(f333(f135(x95531),x95532),x95535),f333(f333(f135(x95531),x95534),x95533)) % 183.16/183.18 [9607]P23(f333(f333(f335(f881(x96071,x96071)),f333(f333(f268(x96071,x96071),x96072),x96073)),f333(f333(f290(x96071,x96071,x96071),x96074),f309(x96071,x96074))))+~P23(f333(f333(f335(f881(x96071,x96071)),f333(f333(f268(x96071,x96071),x96072),x96075)),f333(f333(f290(x96071,x96071,x96071),x96074),f309(x96071,x96074))))+~P23(f333(f333(f335(f881(x96071,x96071)),f333(f333(f268(x96071,x96071),x96075),x96073)),f333(f333(f290(x96071,x96071,x96071),x96074),f309(x96071,x96074)))) % 183.16/183.18 [9634]P34(x96341,x96342,x96343,x96344,x96345)+~E(f333(f197(f876(x96341)),x96344),f333(f197(f876(x96342)),x96345))+~P23(f333(f333(f272(x96341,x96342,a870),x96343),f733(x96345,x96344,x96343,x96342,x96341))) % 183.16/183.18 [9635]P34(x96351,x96352,x96353,x96354,x96355)+~E(f333(f197(f876(x96351)),x96354),f333(f197(f876(x96352)),x96355))+~P23(f333(f333(f272(x96351,x96352,a870),x96353),f737(x96353,x96355,x96354,x96352,x96351))) % 183.16/183.18 [9640]E(f333(f333(f135(x96401),f699(x96402,x96403,x96404,x96405,x96401)),x96404),x96402)+~E(f333(f333(f135(x96401),x96403),x96402),f333(f333(f135(x96401),x96405),x96404))+E(f333(f333(f135(x96401),f700(x96402,x96403,x96404,x96405,x96401)),x96402),x96404) % 183.16/183.18 [9655]~P106(x96552)+E(f333(f333(f149(x96551,x96552,x96553),x96554),x96555),f333(f333(f152(x96551),x96554),x96555))+P23(f333(f333(f335(x96551),f785(x96554,x96553,x96555,x96551,x96552)),f333(f174(x96551),x96555))) % 183.16/183.18 [9660]~P53(x96601,x96604,x96603,x96602)+~P23(f333(f333(f335(x96601),x96605),x96603))+P23(f333(f333(f335(x96601),f558(x96602,x96603,x96604,x96601,x96605)),x96602)) % 183.16/183.18 [9780]~P23(f333(f333(f335(f881(f882(x97801,a870),f882(x97801,a870))),f333(f333(f268(f882(x97801,a870),f882(x97801,a870)),x97804),x97803)),f325(x97801,x97802)))+~P23(f333(f333(f335(x97801),x97805),x97804))+P23(f333(f333(f335(x97801),f622(x97802,x97803,x97804,x97801,x97805)),x97803)) % 183.16/183.18 [9792]~P106(x97922)+E(f333(f333(f149(x97921,x97922,x97923),x97924),x97925),f333(f333(f152(x97921),x97924),x97925))+~P23(f333(f333(f247(x97922),f333(x97923,x97924)),f333(x97923,f785(x97924,x97923,x97925,x97921,x97922)))) % 183.16/183.18 [9982]P34(x99821,x99822,x99823,x99824,x99825)+~E(f333(f197(f876(x99821)),x99824),f333(f197(f876(x99822)),x99825))+~P23(f333(f333(x99823,f333(f333(f166(x99821),x99824),f738(x99825,x99824,x99823,x99822,x99821))),f333(f333(f166(x99822),x99825),f738(x99825,x99824,x99823,x99822,x99821)))) % 183.16/183.18 [9983]P34(x99831,x99832,x99833,x99834,x99835)+~E(f333(f197(f876(x99831)),x99834),f333(f197(f876(x99832)),x99835))+~P23(f333(f333(x99833,f333(f333(f166(x99831),x99834),f774(x99833,x99835,x99832,x99834,x99831))),f333(f333(f166(x99832),x99835),f774(x99833,x99835,x99832,x99834,x99831)))) % 183.16/183.18 [6544]~P12(x65442,x65445,x65441)+~P23(f333(f61(x65442),x65444))+E(f333(x65441,f333(f333(f311(x65442),x65443),x65444)),f333(f333(f64(x65442,x65442,x65445),x65443),x65444)) % 183.16/183.18 [6545]~E(x65453,x65454)+~E(x65452,x65455)+E(f333(f333(f311(x65451),x65452),f333(f333(f311(x65451),x65453),f196(f882(x65451,a870)))),f333(f333(f311(x65451),x65454),f333(f333(f311(x65451),x65455),f196(f882(x65451,a870))))) % 183.16/183.18 [6556]P23(f333(x65562,x65565))+E(f179(x65561,x65562,f333(f333(f135(x65561),x65563),x65564)),f179(x65561,x65562,x65563))+~P23(f333(f333(f335(x65561),x65565),f333(f174(x65561),x65563))) % 183.16/183.18 [6593]E(f333(x65931,x65932),f196(f882(x65933,a870)))+~E(f333(f333(f41(x65934,f882(x65933,a870)),x65935),x65931),f196(f882(x65933,a870)))+~P23(f333(f333(f335(x65934),x65932),x65935)) % 183.16/183.18 [6594]E(f333(x65941,x65942),f256(f882(x65943,a870)))+~E(f333(f333(f42(x65944,f882(x65943,a870)),x65945),x65941),f256(f882(x65943,a870)))+~P23(f333(f333(f335(x65944),x65942),x65945)) % 183.16/183.18 [6898]~P23(f333(f333(f202(x68981),x68983),x68985))+~P23(f333(f333(f202(x68982),x68985),x68984))+P23(f333(f333(f202(f32(x68981,x68982)),x68983),x68984)) % 183.16/183.18 [7103]~E(x71032,x71034)+~P139(x71031)+E(f333(f333(f79(x71031),f333(f333(f80(x71031),x71032),x71033)),f333(f333(f80(x71031),x71034),x71035)),f333(f333(f79(x71031),f333(f333(f80(x71031),x71032),x71035)),f333(f333(f80(x71031),x71034),x71033))) % 183.16/183.18 [7163]~P26(x71631)+~P23(f333(f333(f335(x71634),x71633),x71635))+P23(f333(f333(f247(x71631),f333(x71632,x71633)),f333(f333(f41(x71634,x71631),x71635),x71632))) % 183.16/183.18 [7213]~P107(x72131)+P23(f333(f333(f247(x72131),f333(x72132,x72133)),f333(x72134,x72133)))+~P23(f333(f333(f247(f882(x72135,x72131)),x72132),x72134)) % 183.16/183.18 [7330]E(x73301,x73302)+E(x73303,x73301)+~E(f333(f333(f311(x73304),x73301),f333(f333(f311(x73304),x73305),f196(f882(x73304,a870)))),f333(f333(f311(x73304),x73302),f333(f333(f311(x73304),x73303),f196(f882(x73304,a870))))) % 183.16/183.18 [7331]E(x73311,x73312)+E(x73313,x73311)+~E(f333(f333(f311(x73314),x73313),f333(f333(f311(x73314),x73312),f196(f882(x73314,a870)))),f333(f333(f311(x73314),x73315),f333(f333(f311(x73314),x73311),f196(f882(x73314,a870))))) % 183.16/183.18 [7332]E(x73321,x73322)+E(x73321,x73323)+~E(f333(f333(f311(x73324),x73323),f333(f333(f311(x73324),x73322),f196(f882(x73324,a870)))),f333(f333(f311(x73324),x73325),f333(f333(f311(x73324),x73321),f196(f882(x73324,a870))))) % 183.16/183.18 [7333]E(x73331,x73332)+E(x73331,x73333)+~E(f333(f333(f311(x73334),x73331),f333(f333(f311(x73334),x73335),f196(f882(x73334,a870)))),f333(f333(f311(x73334),x73332),f333(f333(f311(x73334),x73333),f196(f882(x73334,a870))))) % 183.16/183.18 [7875]P20(x78751,x78752,x78753,x78754)+~P20(x78751,x78752,x78753,x78755)+~P23(f333(f333(f247(f882(x78751,a870)),x78754),x78755)) % 183.16/183.18 [7882]~P23(f333(f333(f247(a875),x78825),x78823))+~P23(f333(f333(f333(f333(a204,x78821),x78822),x78825),x78824))+P23(f333(f333(f333(f333(a204,x78821),x78822),x78823),x78824)) % 183.16/183.18 [7979]P23(f333(x79791,x79792))+~P23(f333(f333(f202(x79794),x79792),x79795))+P23(f333(f333(f202(f29(x79791,x79793,x79794)),x79792),x79795)) % 183.16/183.18 [8007]~P23(f333(x80071,x80074))+~P23(f333(f333(f202(x80072),x80074),x80075))+P23(f333(f333(f202(f29(x80071,x80072,x80073)),x80074),x80075)) % 183.16/183.18 [8058]E(x80581,x80582)+~E(f333(f312(x80583,x80584,x80585),x80581),f333(f312(x80583,x80584,x80585),x80582))+~P20(x80583,x80584,x80585,f333(f333(f113(f882(x80583,a870)),x80581),x80582)) % 183.16/183.18 [8132]P23(f333(x81322,x81324))+E(f333(f333(f139(x81321),f333(f197(f876(x81321)),f179(x81321,x81322,x81323))),x81323),f333(f333(f152(x81321),x81324),x81325))+~E(f333(f333(f135(x81321),f179(x81321,x81322,x81323)),f333(f333(f152(x81321),x81324),x81325)),x81323) % 183.16/183.18 [8164]~P20(x81641,x81642,x81643,x81645)+~P20(x81641,x81642,x81643,x81644)+P20(x81641,x81642,x81643,f333(f333(f104(f882(x81641,a870)),x81644),x81645)) % 183.16/183.18 [8273]~P66(x82731)+E(f333(f333(f79(x82731),f333(x82732,x82733)),f333(f167(x82731),f333(f333(f155(x82734,x82731),x82732),f172(x82734,x82733,x82735)))),f333(f167(x82731),f333(f333(f155(x82734,x82731),x82732),x82735)))+~P23(f333(f333(f335(x82734),x82733),f333(f174(x82734),x82735))) % 183.16/183.18 [8362]~P106(x83621)+~P28(x83621,f333(f333(f155(x83622,x83621),x83623),x83625))+P28(x83621,f333(f333(f155(x83622,x83621),x83623),f333(f333(f149(x83622,x83621,x83623),x83624),x83625))) % 183.16/183.18 [8441]P23(f333(x84411,x84412))+P23(f333(f333(f202(x84413),x84412),x84414))+~P23(f333(f333(f202(f29(x84411,x84415,x84413)),x84412),x84414)) % 183.16/183.18 [8452]~P26(x84521)+P23(f333(f333(f247(x84521),f333(f333(f41(x84522,x84521),x84523),x84524)),f333(f333(f41(x84522,x84521),x84525),x84524)))+~P23(f333(f333(f247(f882(x84522,a870)),x84523),x84525)) % 183.16/183.18 [8453]~P26(x84531)+P23(f333(f333(f247(x84531),f333(f333(f42(x84532,x84531),x84533),x84534)),f333(f333(f42(x84532,x84531),x84535),x84534)))+~P23(f333(f333(f247(f882(x84532,a870)),x84535),x84533)) % 183.16/183.18 [8464]~P23(f333(x84644,x84642))+P23(f333(f333(f202(x84641),x84642),x84643))+~P23(f333(f333(f202(f29(x84644,x84641,x84645)),x84642),x84643)) % 183.16/183.18 [8487]~P106(x84873)+P23(f333(f138(x84871),x84872))+~P23(f333(f138(x84871),f333(f333(f149(x84871,x84873,x84874),x84875),x84872))) % 183.16/183.18 [8497]P23(f333(f333(f202(x84971),x84972),x84973))+P23(f333(f333(f202(x84974),x84972),x84973))+~P23(f333(f333(f202(f29(x84975,x84971,x84974)),x84972),x84973)) % 183.16/183.18 [8627]~P106(x86271)+~P23(f333(f333(f335(x86272),x86273),f333(f174(x86272),x86274)))+~P23(f333(f138(x86272),f333(f333(f149(x86272,x86271,x86275),x86273),x86274))) % 183.16/183.18 [8707]~P106(x87071)+P28(x87071,f333(f333(f155(x87072,x87071),x87073),x87074))+~P28(x87071,f333(f333(f155(x87072,x87071),x87073),f333(f333(f149(x87072,x87071,x87073),x87075),x87074))) % 183.16/183.18 [8799]~P106(x87992)+E(f333(f333(f149(x87991,x87992,x87993),x87994),x87995),f150(x87991,x87992,x87993,x87994,x87995))+P23(f333(f333(f335(x87992),f333(x87993,x87994)),f333(f312(x87991,x87992,x87993),f333(f174(x87991),x87995)))) % 183.16/183.18 [8874]~P106(x88742)+E(f150(x88741,x88742,x88743,x88744,x88745),x88745)+~P23(f333(f333(f335(x88742),f333(x88743,x88744)),f333(f312(x88741,x88742,x88743),f333(f174(x88741),x88745)))) % 183.16/183.18 [8890]~P20(x88902,x88901,x88903,x88905)+P23(f333(f333(f248(f882(x88901,a870)),f333(f312(x88902,x88901,x88903),x88904)),f333(f312(x88902,x88901,x88903),x88905)))+~P23(f333(f333(f248(f882(x88902,a870)),x88904),x88905)) % 183.16/183.18 [9061]~P20(x90611,x90612,x90613,f256(f882(x90611,a870)))+~P23(f333(f333(f247(f882(x90612,a870)),x90614),f333(f312(x90611,x90612,x90613),x90615)))+P23(f333(f333(f247(f882(x90611,a870)),f333(f313(x90611,x90612,x90613),x90614)),x90615)) % 183.16/183.18 [9081]~E(f333(f312(x90813,x90811,x90814),f256(f882(x90813,a870))),f256(f882(x90811,a870)))+P23(f333(f333(f247(f882(x90811,a870)),x90812),f333(f312(x90813,x90811,x90814),x90815)))+~P23(f333(f333(f247(f882(x90813,a870)),f333(f313(x90813,x90811,x90814),x90812)),x90815)) % 183.16/183.18 [9105]~E(f333(f240(x91052),x91054),f333(f333(f180(x91051,x91052),x91055),x91053))+~P23(f333(f138(x91051),f333(f333(f155(f881(x91051,x91052),x91051),f267(x91051,x91052)),x91055)))+P23(f333(f333(f335(f881(x91051,x91052)),f333(f333(f268(x91051,x91052),x91053),x91054)),f333(f174(f881(x91051,x91052)),x91055))) % 183.16/183.18 [9187]~P20(x91871,x91874,x91875,f256(f882(x91871,a870)))+~P23(f333(f333(f247(f882(x91874,a870)),f333(f312(x91871,x91874,x91875),x91872)),f333(f312(x91871,x91874,x91875),x91873)))+P23(f333(f333(f247(f882(x91871,a870)),x91872),x91873)) % 183.16/183.18 [9252]E(f333(f240(x92521),x92522),f333(f333(f180(x92523,x92521),x92524),x92525))+~P23(f333(f138(x92523),f333(f333(f155(f881(x92523,x92521),x92523),f267(x92523,x92521)),x92524)))+~P23(f333(f333(f335(f881(x92523,x92521)),f333(f333(f268(x92523,x92521),x92525),x92522)),f333(f174(f881(x92523,x92521)),x92524))) % 183.16/183.18 [9254]E(f333(f333(f180(x92541,x92542),x92543),x92544),f333(f240(x92542),x92545))+~P23(f333(f138(x92541),f333(f333(f155(f881(x92541,x92542),x92541),f267(x92541,x92542)),x92543)))+~P23(f333(f333(f335(f881(x92541,x92542)),f333(f333(f268(x92541,x92542),x92544),x92545)),f333(f174(f881(x92541,x92542)),x92543))) % 183.16/183.18 [9309]~P78(x93091)+~E(f333(x93093,f754(x93093,x93094,x93095,x93092,x93091)),f2(x93091))+E(f333(f167(x93091),f333(f333(f155(x93092,x93091),x93093),f333(f137(x93092,x93094),x93095))),f333(f167(x93091),f333(f333(f155(x93092,x93091),x93093),x93095))) % 183.16/183.18 [9486]~P11(x94861,x94862,x94863)+~P23(f333(f61(x94861),x94865))+P23(f333(f66(x94861,x94862,x94863,x94864,x94865),f333(f333(f64(x94861,x94862,x94863),x94864),x94865))) % 183.16/183.18 [9565]P23(f333(x95651,f658(x95652,x95651,x95653,x95654,x95655)))+~P23(f333(f333(f247(f882(x95655,a870)),x95654),x95653))+P23(f333(f333(f247(f882(x95655,a870)),f333(f333(f104(f882(x95655,a870)),x95654),f333(f253(x95655),x95651))),f333(f333(f104(f882(x95655,a870)),x95653),f333(f253(x95655),x95652)))) % 183.16/183.18 [9579]~P78(x95791)+~P23(f333(x95794,f754(x95793,x95794,x95795,x95792,x95791)))+E(f333(f167(x95791),f333(f333(f155(x95792,x95791),x95793),f333(f137(x95792,x95794),x95795))),f333(f167(x95791),f333(f333(f155(x95792,x95791),x95793),x95795))) % 183.16/183.18 [9658]~P26(x96585)+P23(f333(f333(f335(x96581),f347(x96582,x96583,x96581,x96584,x96585)),x96583))+P23(f333(f333(f247(x96585),x96584),f333(f333(f42(x96581,x96585),x96583),x96582))) % 183.16/183.18 [9661]~P78(x96611)+E(f333(f167(x96611),f333(f333(f155(x96612,x96611),x96613),f333(f137(x96612,x96614),x96615))),f333(f167(x96611),f333(f333(f155(x96612,x96611),x96613),x96615)))+P23(f333(f333(f335(x96612),f754(x96613,x96614,x96615,x96612,x96611)),f333(f174(x96612),x96615))) % 183.16/183.18 [9671]~P23(f333(x96715,f658(x96715,x96713,x96714,x96712,x96711)))+~P23(f333(f333(f247(f882(x96711,a870)),x96712),x96714))+P23(f333(f333(f247(f882(x96711,a870)),f333(f333(f104(f882(x96711,a870)),x96712),f333(f253(x96711),x96713))),f333(f333(f104(f882(x96711,a870)),x96714),f333(f253(x96711),x96715)))) % 183.16/183.18 [9705]P34(x97051,x97052,x97053,x97054,x97055)+~E(f333(f197(f876(x97052)),x97055),f333(f197(f876(x97051)),x97054))+P23(f333(f333(f248(a875),f738(x97055,x97054,x97053,x97052,x97051)),f333(f197(f876(x97051)),x97054))) % 183.16/183.18 [9706]P34(x97061,x97062,x97063,x97064,x97065)+~E(f333(f197(f876(x97062)),x97065),f333(f197(f876(x97061)),x97064))+P23(f333(f333(f248(a875),f774(x97063,x97065,x97062,x97064,x97061)),f333(f197(f876(x97061)),x97064))) % 183.16/183.18 [9739]P23(f333(f333(f335(x97391),f658(x97392,x97393,x97394,x97395,x97391)),x97395))+~P23(f333(f333(f247(f882(x97391,a870)),x97395),x97394))+P23(f333(f333(f247(f882(x97391,a870)),f333(f333(f104(f882(x97391,a870)),x97395),f333(f253(x97391),x97393))),f333(f333(f104(f882(x97391,a870)),x97394),f333(f253(x97391),x97392)))) % 183.16/183.18 [9793]~P26(x97931)+~P23(f333(f333(f247(x97931),x97932),f333(x97935,f347(x97935,x97934,x97933,x97932,x97931))))+P23(f333(f333(f247(x97931),x97932),f333(f333(f42(x97933,x97931),x97934),x97935))) % 183.16/183.18 [9826]~P73(x98261)+~P23(f333(f61(x98262),x98265))+E(f333(f333(f333(f65(x98261,x98262,f80(x98261)),f333(f333(f18(x98262,x98261,x98261),f333(f333(f8(x98261,f882(x98261,x98261),x98262),f80(x98261)),x98263)),x98264)),f77(x98261)),x98265),f333(f333(f80(x98261),f333(f333(f333(f65(x98261,x98262,f80(x98261)),x98263),f77(x98261)),x98265)),f333(f333(f333(f65(x98261,x98262,f80(x98261)),x98264),f77(x98261)),x98265))) % 183.16/183.18 [9889]~P23(f333(f333(f335(f881(f882(x98891,a870),f882(x98891,a870))),f333(f333(f268(f882(x98891,a870),f882(x98891,a870)),x98895),x98894)),f325(x98891,x98893)))+~P23(f333(f333(f335(x98891),x98892),x98895))+P23(f333(f333(f335(f881(x98891,x98891)),f333(f333(f268(x98891,x98891),x98892),f622(x98893,x98894,x98895,x98891,x98892))),x98893)) % 183.16/183.18 [10017]~P23(f333(f333(f335(f881(f876(x100171),f876(x100171))),f333(f333(f268(f876(x100171),f876(x100171)),f333(f333(f135(x100171),x100175),x100172)),f333(f333(f135(x100171),x100175),x100173))),f148(x100171,x100174)))+P23(f333(f333(f335(f881(f876(x100171),f876(x100171))),f333(f333(f268(f876(x100171),f876(x100171)),x100172),x100173)),f148(x100171,x100174)))+P23(f333(f333(f335(f881(x100171,x100171)),f333(f333(f268(x100171,x100171),f705(x100174,x100173,x100172,x100175,x100171)),f705(x100174,x100173,x100172,x100175,x100171))),x100174)) % 183.16/183.18 [7143]~E(f333(f197(f876(x71431)),x71433),f333(f197(f876(x71432)),x71434))+E(f333(f333(f180(x71431,x71432),f333(f333(f184(x71431,x71432),x71433),x71434)),x71435),f209(x71432))+P23(f333(f333(f335(x71431),x71435),f333(f174(x71431),x71433))) % 183.16/183.18 [7216]~E(x72163,x72165)+E(f333(f333(f166(x72161),f333(f333(f160(x72161,x72162),x72163),x72164)),x72165),x72164)+~P23(f333(f333(f248(a875),x72163),f333(f197(f876(x72161)),x72162))) % 183.16/183.18 [7325]~E(f333(f333(f135(x73251),x73252),x73254),f333(f333(f135(x73251),x73253),x73255))+E(f333(f333(f177(x73251),f333(f197(f876(x73251)),x73252)),x73253),x73252)+P23(f333(f333(f247(a875),f333(f197(f876(x73251)),x73253)),f333(f197(f876(x73251)),x73252))) % 183.16/183.18 [7342]~E(x73425,x73422)+P23(f333(x73421,x73422))+P23(f333(f333(f333(f333(a204,f31(x73421,x73423)),x73422),x73424),x73425)) % 183.16/183.18 [7836]~E(f333(f333(f135(x78361),x78362),x78364),f333(f333(f135(x78361),x78363),x78365))+E(f333(f333(f177(x78361),f333(f197(f876(x78361)),x78362)),x78363),x78362)+~P23(f333(f333(f247(a875),f333(f197(f876(x78361)),x78362)),f333(f197(f876(x78361)),x78363))) % 183.16/183.18 [7860]~P23(f333(f61(x78601),f333(x78604,x78605)))+~P23(f333(f333(f335(x78602),x78605),x78603))+P23(f333(f61(x78601),f333(f333(f42(x78602,f882(x78601,a870)),x78603),x78604))) % 183.16/183.18 [7913]~E(f333(f197(f876(x79131)),x79132),f333(f197(f876(x79133)),x79134))+~E(f333(f333(f180(x79131,x79133),f333(f333(f184(x79131,x79133),x79132),x79134)),x79135),f209(x79133))+~P23(f333(f333(f335(x79131),x79135),f333(f174(x79131),x79132))) % 183.16/183.18 [8043]~P39(x80431,x80433,x80435)+~P39(x80431,x80432,x80434)+P39(x80431,f333(f333(f113(f882(x80431,a870)),x80432),x80433),f333(f333(f113(f882(f881(x80431,x80431),a870)),x80434),x80435)) % 183.16/183.18 [8044]~P39(x80441,x80443,x80445)+~P39(x80441,x80442,x80444)+P39(x80441,f333(f333(f104(f882(x80441,a870)),x80442),x80443),f333(f333(f104(f882(f881(x80441,x80441),a870)),x80444),x80445)) % 183.16/183.18 [8126]E(x81261,x81262)+P23(f333(x81263,x81261))+~P23(f333(f333(f333(f333(a204,f31(x81263,x81264)),x81261),x81265),x81262)) % 183.16/183.18 [8401]E(f333(f333(f268(x84011,x84012),f333(f333(f166(x84011),x84013),x84014)),f333(f333(f166(x84012),x84015),x84014)),f333(f333(f166(f881(x84011,x84012)),f333(f333(f184(x84011,x84012),x84013),x84015)),x84014))+~P23(f333(f333(f248(a875),x84014),f333(f197(f876(x84011)),x84013)))+~P23(f333(f333(f248(a875),x84014),f333(f197(f876(x84012)),x84015))) % 183.16/183.18 [8561]~P39(x85611,x85613,x85614)+P23(f333(f333(f335(x85611),x85612),x85613))+~P23(f333(f333(f335(f881(x85611,x85611)),f333(f333(f268(x85611,x85611),x85615),x85612)),x85614)) % 183.16/183.18 [8562]~P39(x85621,x85623,x85624)+P23(f333(f333(f335(x85621),x85622),x85623))+~P23(f333(f333(f335(f881(x85621,x85621)),f333(f333(f268(x85621,x85621),x85622),x85625)),x85624)) % 183.16/183.18 [8563]~P3(x85631,x85633,x85634)+P23(f333(f333(f335(x85631),x85632),x85633))+~P23(f333(f333(f335(f881(x85631,x85631)),f333(f333(f268(x85631,x85631),x85635),x85632)),x85634)) % 183.16/183.18 [8564]~P3(x85641,x85643,x85644)+P23(f333(f333(f335(x85641),x85642),x85643))+~P23(f333(f333(f335(f881(x85641,x85641)),f333(f333(f268(x85641,x85641),x85642),x85645)),x85644)) % 183.16/183.18 [8822]~P3(x88221,x88225,x88222)+E(f333(f287(x88221,x88221,x88222),f333(f333(f311(x88221),x88223),f196(f882(x88221,a870)))),f333(f287(x88221,x88221,x88222),f333(f333(f311(x88221),x88224),f196(f882(x88221,a870)))))+~P23(f333(f333(f335(f881(x88221,x88221)),f333(f333(f268(x88221,x88221),x88223),x88224)),x88222)) % 183.16/183.18 [8905]~P23(f333(f333(f333(f333(a204,x89052),x89053),x89054),x89055))+~P23(f333(f333(f333(f333(a204,f31(x89051,x89052)),x89055),x89054),x89053))+P23(f333(f333(f333(f333(a204,f31(x89051,x89052)),x89053),x89054),x89053)) % 183.16/183.18 [9016]P23(f333(x90161,x90162))+~P23(f333(f333(f335(x90163),x90162),x90165))+P23(f333(f333(f335(x90163),f378(x90161,x90164,x90165,x90163)),f333(f333(f113(f882(x90163,a870)),x90165),x90164))) % 183.16/183.18 [9017]P23(f333(x90171,x90172))+~P23(f333(f333(f335(x90173),x90172),x90174))+P23(f333(f333(f335(x90173),f378(x90171,x90174,x90175,x90173)),f333(f333(f113(f882(x90173,a870)),x90175),x90174))) % 183.16/183.18 [9025]~P23(f333(x90252,x90255))+~P23(f333(f333(f335(x90251),x90255),x90254))+P23(f333(f333(f335(x90251),f418(x90252,x90253,x90254,x90251)),f333(f333(f113(f882(x90251,a870)),x90254),x90253))) % 183.16/183.18 [9026]~P23(f333(x90262,x90265))+~P23(f333(f333(f335(x90261),x90265),x90263))+P23(f333(f333(f335(x90261),f418(x90262,x90263,x90264,x90261)),f333(f333(f113(f882(x90261,a870)),x90264),x90263))) % 183.16/183.18 [9041]~P23(f333(f333(f247(f882(x90411,a870)),x90413),x90415))+~P23(f333(f333(f247(f882(x90411,a870)),x90412),x90414))+P23(f333(f333(f247(f882(x90411,a870)),f333(f333(f113(f882(x90411,a870)),x90412),x90413)),f333(f333(f113(f882(x90411,a870)),x90414),x90415))) % 183.16/183.18 [9042]~P23(f333(f333(f247(f882(x90421,a870)),x90425),x90423))+~P23(f333(f333(f247(f882(x90421,a870)),x90422),x90424))+P23(f333(f333(f247(f882(x90421,a870)),f333(f333(f22(f882(x90421,a870)),x90422),x90423)),f333(f333(f22(f882(x90421,a870)),x90424),x90425))) % 183.16/183.18 [9043]~P23(f333(f333(f247(f882(x90431,a870)),x90433),x90435))+~P23(f333(f333(f247(f882(x90431,a870)),x90432),x90434))+P23(f333(f333(f247(f882(x90431,a870)),f333(f333(f104(f882(x90431,a870)),x90432),x90433)),f333(f333(f104(f882(x90431,a870)),x90434),x90435))) % 183.16/183.18 [9130]~E(f333(f197(f876(x91301)),x91303),f333(f197(f876(x91302)),x91304))+E(f333(f333(f180(x91301,x91302),f333(f333(f184(x91301,x91302),x91303),x91304)),x91305),f333(f240(x91302),f711(x91305,x91304,x91302,x91303,x91301)))+~P23(f333(f333(f335(x91301),x91305),f333(f174(x91301),x91303))) % 183.16/183.18 [9134]P23(f333(f333(f335(f881(x91341,x91341)),f333(f333(f268(x91341,x91341),x91342),x91343)),f327(x91341,x91344,x91345)))+~P23(f333(f333(f247(a875),f333(x91344,x91342)),f333(x91344,x91343)))+~P23(f333(f333(f335(f881(x91341,x91341)),f333(f333(f268(x91341,x91341),x91342),x91343)),x91345)) % 183.16/183.18 [9319]P23(f333(f333(f335(f881(x93191,x93191)),f333(f333(f268(x93191,x93191),x93192),x93193)),f309(x93191,x93194)))+~P23(f333(f333(f335(f881(x93191,x93191)),f333(f333(f268(x93191,x93191),x93192),x93195)),f309(x93191,x93194)))+~P23(f333(f333(f335(f881(x93191,x93191)),f333(f333(f268(x93191,x93191),x93195),x93193)),x93194)) % 183.16/183.18 [9320]P23(f333(f333(f335(f881(x93201,x93201)),f333(f333(f268(x93201,x93201),x93202),x93203)),f309(x93201,x93204)))+~P23(f333(f333(f335(f881(x93201,x93201)),f333(f333(f268(x93201,x93201),x93205),x93203)),f309(x93201,x93204)))+~P23(f333(f333(f335(f881(x93201,x93201)),f333(f333(f268(x93201,x93201),x93202),x93205)),x93204)) % 183.16/183.18 [9417]E(x94171,x94172)+E(f333(a115,f637(x94173,x94174,x94171,x94172,x94175)),x94174)+~P23(f333(f333(f335(f881(x94175,x94175)),f333(f333(f268(x94175,x94175),x94172),x94171)),f333(f333(f191(f881(x94175,x94175),a870),x94174),x94173))) % 183.16/183.18 [9418]E(x94181,x94182)+E(f333(a115,f639(x94183,x94184,x94181,x94182,x94185)),x94184)+~P23(f333(f333(f335(f881(x94185,x94185)),f333(f333(f268(x94185,x94185),x94182),x94181)),f333(f333(f191(f881(x94185,x94185),a870),x94184),x94183))) % 183.16/183.18 [9419]E(x94191,f2(a875))+E(f333(a115,f637(x94192,x94191,x94193,x94194,x94195)),x94191)+~P23(f333(f333(f335(f881(x94195,x94195)),f333(f333(f268(x94195,x94195),x94194),x94193)),f333(f333(f191(f881(x94195,x94195),a870),x94191),x94192))) % 183.16/183.18 [9420]E(x94201,f2(a875))+E(f333(a115,f639(x94202,x94201,x94203,x94204,x94205)),x94201)+~P23(f333(f333(f335(f881(x94205,x94205)),f333(f333(f268(x94205,x94205),x94204),x94203)),f333(f333(f191(f881(x94205,x94205),a870),x94201),x94202))) % 183.16/183.18 [9436]P23(f333(f333(f335(f881(x94361,x94361)),f333(f333(f268(x94361,x94361),x94362),x94363)),f333(f333(f290(x94361,x94361,x94361),x94364),f309(x94361,x94364))))+~P23(f333(f333(f335(f881(x94361,x94361)),f333(f333(f268(x94361,x94361),x94362),x94365)),x94364))+~P23(f333(f333(f335(f881(x94361,x94361)),f333(f333(f268(x94361,x94361),x94365),x94363)),x94364)) % 183.16/183.18 [9443]~P23(f333(f333(f335(f881(x94431,x94431)),f333(f333(f268(x94431,x94431),x94432),x94435)),f309(x94431,x94434)))+P23(f333(f333(f335(f881(x94431,x94431)),f333(f333(f268(x94431,x94431),x94432),x94433)),f333(f333(f290(x94431,x94431,x94431),x94434),f309(x94431,x94434))))+~P23(f333(f333(f335(f881(x94431,x94431)),f333(f333(f268(x94431,x94431),x94435),x94433)),x94434)) % 183.16/183.18 [9482]~P3(x94821,x94825,x94822)+~P23(f333(f333(f335(f881(x94821,x94821)),f333(f333(f268(x94821,x94821),x94823),x94824)),x94822))+P23(f333(f333(f247(f882(x94821,a870)),f333(f287(x94821,x94821,x94822),f333(f333(f311(x94821),x94823),f196(f882(x94821,a870))))),f333(f287(x94821,x94821,x94822),f333(f333(f311(x94821),x94824),f196(f882(x94821,a870)))))) % 183.16/183.18 [9504]E(x95041,x95042)+P23(f333(f333(f333(f333(a204,x95043),x95041),x95044),f481(x95042,x95044,x95041,x95043,x95045)))+~P23(f333(f333(f333(f333(a204,f31(x95045,x95043)),x95041),x95044),x95042)) % 183.16/183.18 [9508]~P23(f333(x95085,x95082))+P23(f333(f333(f333(f333(a204,x95081),x95082),x95083),f481(x95084,x95083,x95082,x95081,x95085)))+~P23(f333(f333(f333(f333(a204,f31(x95085,x95081)),x95082),x95083),x95084)) % 183.16/183.18 [9537]P23(f333(f333(f335(f881(x95371,x95371)),f333(f333(f268(x95371,x95371),x95372),x95373)),f333(f333(f290(x95371,x95371,x95371),x95374),f309(x95371,x95374))))+~P23(f333(f333(f335(f881(x95371,x95371)),f333(f333(f268(x95371,x95371),x95372),x95375)),f333(f333(f290(x95371,x95371,x95371),x95374),f309(x95371,x95374))))+~P23(f333(f333(f335(f881(x95371,x95371)),f333(f333(f268(x95371,x95371),x95375),x95373)),x95374)) % 183.16/183.18 [9538]P23(f333(f333(f335(f881(x95381,x95381)),f333(f333(f268(x95381,x95381),x95382),x95383)),f333(f333(f290(x95381,x95381,x95381),x95384),f309(x95381,x95384))))+~P23(f333(f333(f335(f881(x95381,x95381)),f333(f333(f268(x95381,x95381),x95385),x95383)),f333(f333(f290(x95381,x95381,x95381),x95384),f309(x95381,x95384))))+~P23(f333(f333(f335(f881(x95381,x95381)),f333(f333(f268(x95381,x95381),x95382),x95385)),x95384)) % 183.16/183.18 [9588]~P23(f333(f66(x95881,x95881,x95884,x95882,x95883),x95885))+P23(f333(f333(f335(x95881),x95882),x95883))+P23(f333(f62(x95881,x95884,f333(f333(f311(x95881),x95882),x95883)),x95885)) % 183.16/183.18 [9627]~E(f333(f312(x96273,x96272,x96275),x96274),x96271)+E(x96271,f196(f882(x96272,a870)))+P23(f333(f333(f247(f882(x96273,a870)),f333(f312(x96272,x96273,f348(x96274,x96273,x96272,x96271)),x96271)),x96274)) % 183.16/183.18 [9674]~P26(x96745)+P23(f333(f333(f335(x96741),f868(x96742,x96743,x96744,x96741,x96745)),x96744))+P23(f333(f333(f247(x96745),f333(f333(f41(x96741,x96745),x96744),x96743)),x96742)) % 183.16/183.18 [9725]P34(x97251,x97252,x97253,x97254,x97255)+~E(f333(f197(f876(x97251)),x97254),f333(f197(f876(x97252)),x97255))+P23(f333(f333(f335(f881(x97251,x97252)),f733(x97255,x97254,x97253,x97252,x97251)),f333(f174(f881(x97251,x97252)),f333(f333(f184(x97251,x97252),x97254),x97255)))) % 183.16/183.18 [9726]P34(x97261,x97262,x97263,x97264,x97265)+~E(f333(f197(f876(x97261)),x97264),f333(f197(f876(x97262)),x97265))+P23(f333(f333(f335(f881(x97261,x97262)),f737(x97263,x97265,x97264,x97262,x97261)),f333(f174(f881(x97261,x97262)),f333(f333(f184(x97261,x97262),x97264),x97265)))) % 183.16/183.18 [9856]E(x98561,x98562)+P23(f333(f333(f333(f333(a204,f31(x98563,x98564)),f481(x98561,x98565,x98562,x98564,x98563)),x98565),x98561))+~P23(f333(f333(f333(f333(a204,f31(x98563,x98564)),x98562),x98565),x98561)) % 183.16/183.18 [9858]~P23(f333(x98581,x98585))+P23(f333(f333(f333(f333(a204,f31(x98581,x98582)),f481(x98583,x98584,x98585,x98582,x98581)),x98584),x98583))+~P23(f333(f333(f333(f333(a204,f31(x98581,x98582)),x98585),x98584),x98583)) % 183.16/183.18 [9866]E(x98661,x98662)+P23(f333(f333(f335(f881(x98663,x98663)),f333(f333(f268(x98663,x98663),x98661),f638(x98664,x98665,x98662,x98661,x98663))),x98664))+~P23(f333(f333(f335(f881(x98663,x98663)),f333(f333(f268(x98663,x98663),x98661),x98662)),f333(f333(f191(f881(x98663,x98663),a870),x98665),x98664))) % 183.16/183.18 [9867]E(x98671,f2(a875))+P23(f333(f333(f335(f881(x98672,x98672)),f333(f333(f268(x98672,x98672),x98673),f638(x98674,x98671,x98675,x98673,x98672))),x98674))+~P23(f333(f333(f335(f881(x98672,x98672)),f333(f333(f268(x98672,x98672),x98673),x98675)),f333(f333(f191(f881(x98672,x98672),a870),x98671),x98674))) % 183.16/183.18 [9910]~P26(x99101)+~P23(f333(f333(f247(x99101),f333(x99104,f868(x99105,x99104,x99103,x99102,x99101))),x99105))+P23(f333(f333(f247(x99101),f333(f333(f41(x99102,x99101),x99103),x99104)),x99105)) % 183.16/183.18 [9952]E(x99521,x99522)+P23(f333(f333(f335(f881(x99523,x99523)),f333(f333(f268(x99523,x99523),f640(x99524,x99525,x99521,x99522,x99523)),x99521)),x99524))+~P23(f333(f333(f335(f881(x99523,x99523)),f333(f333(f268(x99523,x99523),x99522),x99521)),f333(f333(f191(f881(x99523,x99523),a870),x99525),x99524))) % 183.16/183.18 [9953]E(x99531,f2(a875))+P23(f333(f333(f335(f881(x99532,x99532)),f333(f333(f268(x99532,x99532),f640(x99533,x99531,x99534,x99535,x99532)),x99534)),x99533))+~P23(f333(f333(f335(f881(x99532,x99532)),f333(f333(f268(x99532,x99532),x99535),x99534)),f333(f333(f191(f881(x99532,x99532),a870),x99531),x99533))) % 183.16/183.18 [9957]E(x99571,x99572)+P23(f333(f333(f335(f881(x99573,x99573)),f333(f333(f268(x99573,x99573),x99571),f640(x99574,x99575,x99572,x99571,x99573))),f333(f333(f191(f881(x99573,x99573),a870),f639(x99574,x99575,x99572,x99571,x99573)),x99574)))+~P23(f333(f333(f335(f881(x99573,x99573)),f333(f333(f268(x99573,x99573),x99571),x99572)),f333(f333(f191(f881(x99573,x99573),a870),x99575),x99574))) % 183.16/183.18 [9958]E(x99581,f2(a875))+P23(f333(f333(f335(f881(x99582,x99582)),f333(f333(f268(x99582,x99582),x99583),f640(x99584,x99581,x99585,x99583,x99582))),f333(f333(f191(f881(x99582,x99582),a870),f639(x99584,x99581,x99585,x99583,x99582)),x99584)))+~P23(f333(f333(f335(f881(x99582,x99582)),f333(f333(f268(x99582,x99582),x99583),x99585)),f333(f333(f191(f881(x99582,x99582),a870),x99581),x99584))) % 183.16/183.18 [10008]E(x100081,x100082)+P23(f333(f333(f335(f881(x100083,x100083)),f333(f333(f268(x100083,x100083),f638(x100084,x100085,x100081,x100082,x100083)),x100081)),f333(f333(f191(f881(x100083,x100083),a870),f637(x100084,x100085,x100081,x100082,x100083)),x100084)))+~P23(f333(f333(f335(f881(x100083,x100083)),f333(f333(f268(x100083,x100083),x100082),x100081)),f333(f333(f191(f881(x100083,x100083),a870),x100085),x100084))) % 183.16/183.18 [10009]E(x100091,f2(a875))+P23(f333(f333(f335(f881(x100092,x100092)),f333(f333(f268(x100092,x100092),f638(x100093,x100091,x100094,x100095,x100092)),x100094)),f333(f333(f191(f881(x100092,x100092),a870),f637(x100093,x100091,x100094,x100095,x100092)),x100093)))+~P23(f333(f333(f335(f881(x100092,x100092)),f333(f333(f268(x100092,x100092),x100095),x100094)),f333(f333(f191(f881(x100092,x100092),a870),x100091),x100093))) % 183.16/183.18 [10043]~P66(x100432)+~P23(f333(f61(x100431),x100435))+E(f333(f333(f6(x100431,x100432),f333(f333(f7(x100431,x100432,x100432),f333(f333(f18(x100431,x100432,f882(x100432,x100432)),f333(f333(f8(a870,f882(x100432,f882(x100432,x100432)),x100431),f99(x100432)),f333(f333(f7(x100431,f882(x100431,a870),a870),f335(x100431)),x100433))),x100434)),f2(x100432))),x100435),f333(f333(f6(x100431,x100432),x100434),f333(f333(f104(f882(x100431,a870)),x100435),x100433))) % 183.16/183.18 [8624]~P66(x86241)+~P23(f333(f61(x86244),x86245))+E(f333(f333(f79(x86241),f333(x86242,x86243)),f333(f333(f6(x86244,x86241),x86242),f333(f333(f22(f882(x86244,a870)),x86245),f333(f333(f311(x86244),x86243),f196(f882(x86244,a870)))))),f333(f333(f6(x86244,x86241),x86242),f333(f333(f311(x86244),x86243),x86245))) % 183.16/183.18 [8625]~P73(x86251)+~P23(f333(f61(x86254),x86255))+E(f333(f333(f80(x86251),f333(x86252,x86253)),f333(f333(f9(x86254,x86251),x86252),f333(f333(f22(f882(x86254,a870)),x86255),f333(f333(f311(x86254),x86253),f196(f882(x86254,a870)))))),f333(f333(f9(x86254,x86251),x86252),f333(f333(f311(x86254),x86253),x86255))) % 183.16/183.18 [8946]~P106(x89462)+~P28(x89462,f333(f170(x89462),f333(f333(f155(x89461,x89462),x89464),x89465)))+E(f333(f137(x89461,f333(f333(f8(x89462,a870,x89461),f333(f248(x89462),x89463)),x89464)),x89465),f179(x89461,f333(f333(f8(x89462,a870,x89461),f333(f248(x89462),x89463)),x89464),x89465)) % 183.16/183.18 [8971]~P66(x89711)+E(f333(f333(f79(x89711),f333(f333(f6(a875,x89711),x89712),f304(a875,x89713,x89714))),f333(f333(f6(a875,x89711),x89712),f304(a875,f333(f333(f79(a875),x89714),f77(a875)),f333(f333(f79(a875),x89714),x89715)))),f333(f333(f6(a875,x89711),x89712),f304(a875,x89713,f333(f333(f79(a875),x89714),x89715))))+~P23(f333(f333(f247(a875),x89713),f333(f333(f79(a875),x89714),f77(a875)))) % 183.16/183.18 [8972]~P23(f333(f333(f335(x89721),x89724),x89725))+~P23(f333(f333(f247(f882(x89721,a870)),f333(f174(x89721),x89722)),x89725))+P23(f333(f333(f247(f882(x89721,a870)),f333(f174(x89721),f333(f333(f160(x89721,x89722),x89723),x89724))),x89725)) % 183.16/183.18 [9197]~P26(x91972)+~P23(f333(f61(x91971),x91975))+E(f333(f333(f64(x91971,x91972,f333(f333(f8(x91972,f882(x91972,x91972),x91971),f113(x91972)),x91973)),x91974),x91975),f333(f333(f113(x91972),x91974),f333(f333(f41(x91971,x91972),x91975),x91973))) % 183.16/183.18 [9198]~P26(x91982)+~P23(f333(f61(x91981),x91985))+E(f333(f333(f64(x91981,x91982,f333(f333(f8(x91982,f882(x91982,x91982),x91981),f104(x91982)),x91983)),x91984),x91985),f333(f333(f104(x91982),x91984),f333(f333(f42(x91981,x91982),x91985),x91983))) % 183.16/183.18 [9245]E(f333(x92451,x92452),f333(x92451,x92453))+P23(f333(f333(f248(a875),f333(x92451,x92452)),f333(x92451,x92453)))+~P23(f333(f333(f335(f881(x92454,x92454)),f333(f333(f268(x92454,x92454),x92452),x92453)),f154(x92454,f333(f333(f152(f882(x92454,a875)),x92451),x92455)))) % 183.16/183.18 [9276]~E(f333(x92764,x92762),f333(x92764,x92763))+~P23(f333(f333(f335(f881(x92761,x92761)),f333(f333(f268(x92761,x92761),x92762),x92763)),f154(x92761,x92765)))+P23(f333(f333(f335(f881(x92761,x92761)),f333(f333(f268(x92761,x92761),x92762),x92763)),f154(x92761,f333(f333(f152(f882(x92761,a875)),x92764),x92765)))) % 183.16/183.18 [9298]~P20(x92981,x92982,x92983,x92985)+P20(x92981,x92982,x92983,f333(f333(f311(x92981),x92984),x92985))+P23(f333(f333(f335(x92982),f333(x92983,x92984)),f333(f312(x92981,x92982,x92983),f333(f333(f22(f882(x92981,a870)),x92985),f333(f333(f311(x92981),x92984),f196(f882(x92981,a870))))))) % 183.16/183.18 [9302]P23(f333(x93022,x93025))+~P23(f333(f333(f335(x93021),x93025),f333(f174(x93021),x93023)))+E(f333(f333(f139(x93021),f333(f197(f876(x93021)),f179(x93021,x93022,f333(f333(f135(x93021),x93023),x93024)))),f333(f333(f135(x93021),x93023),x93024)),f333(f333(f135(x93021),f333(f333(f139(x93021),f333(f197(f876(x93021)),f179(x93021,x93022,x93023))),x93023)),x93024)) % 183.16/183.18 [9305]~P23(f333(f333(f335(f881(x93051,x93051)),f333(f333(f268(x93051,x93051),x93052),x93053)),f154(x93051,x93055)))+~P23(f333(f333(f247(a875),f333(x93054,x93052)),f333(x93054,x93053)))+P23(f333(f333(f335(f881(x93051,x93051)),f333(f333(f268(x93051,x93051),x93052),x93053)),f154(x93051,f333(f333(f152(f882(x93051,a875)),x93054),x93055)))) % 183.16/183.18 [9370]P23(f333(f333(f335(f881(x93704,x93704)),f333(f333(f268(x93704,x93704),x93702),x93703)),f154(x93704,x93705)))+P23(f333(f333(f248(a875),f333(x93701,x93702)),f333(x93701,x93703)))+~P23(f333(f333(f335(f881(x93704,x93704)),f333(f333(f268(x93704,x93704),x93702),x93703)),f154(x93704,f333(f333(f152(f882(x93704,a875)),x93701),x93705)))) % 183.16/183.18 [9511]~P23(f333(f333(f335(f881(f876(x95111),f876(x95111))),f333(f333(f268(f876(x95111),f876(x95111)),x95112),x95114)),f159(x95111,x95115)))+~P23(f333(f333(f248(a875),x95113),f333(f197(f876(x95111)),x95112)))+P23(f333(f333(f335(f881(x95111,x95111)),f333(f333(f268(x95111,x95111),f333(f333(f166(x95111),x95112),x95113)),f333(f333(f166(x95111),x95114),x95113))),x95115)) % 183.16/183.18 [9753]E(x97531,f2(a1))+~P23(f333(f48(x97533,x97531),f333(f333(f268(a1,a1),x97534),x97535)))+P23(f333(f48(f333(f333(f80(a1),x97532),x97533),x97531),f333(f333(f268(a1,a1),f333(f333(f79(a1),f333(f333(f80(a1),x97532),x97534)),f333(f333(f38(a1),f333(f333(f80(a1),x97532),x97535)),x97531))),f44(a1,f333(f333(f80(a1),x97532),x97535),x97531)))) % 183.16/183.18 [9755]~P23(f333(f333(f248(a875),f2(a875)),x97553))+~P23(f333(f47(x97552,x97553),f333(f333(f268(a875,a875),x97554),x97555)))+P23(f333(f47(f333(f333(f80(a875),x97551),x97552),x97553),f333(f333(f268(a875,a875),f333(f333(f79(a875),f333(f333(f80(a875),x97551),x97554)),f333(f333(f38(a875),f333(f333(f80(a875),x97551),x97555)),x97553))),f44(a875,f333(f333(f80(a875),x97551),x97555),x97553)))) % 183.16/183.18 [10066]~P66(x100662)+~P23(f333(f61(x100661),x100664))+E(f333(f333(f6(x100661,x100662),x100663),f333(f253(x100661),f333(f333(f18(x100661,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100661),a331),f333(f333(f7(x100661,f882(x100661,a870),a870),f335(x100661)),x100664))),f333(f333(f7(x100661,f882(x100661,a870),a870),f335(x100661)),x100665)))),f333(f333(f6(x100661,x100662),f333(f333(f7(x100661,x100662,x100662),f333(f333(f18(x100661,x100662,f882(x100662,x100662)),f333(f333(f8(a870,f882(x100662,f882(x100662,x100662)),x100661),f99(x100662)),f333(f333(f7(x100661,f882(x100661,a870),a870),f335(x100661)),x100665))),x100663)),f2(x100662))),x100664)) % 183.16/183.18 [8255]~E(f333(f333(f135(x82551),x82552),x82555),f333(f333(f135(x82551),x82553),x82554))+E(f333(f333(f135(x82551),f333(f333(f139(x82551),f333(f197(f876(x82551)),x82552)),x82553)),x82554),x82555)+P23(f333(f333(f247(a875),f333(f197(f876(x82551)),x82553)),f333(f197(f876(x82551)),x82552))) % 183.16/183.18 [8455]~E(f333(f333(f135(x84552),x84553),x84551),f333(f333(f135(x84552),x84554),x84555))+E(x84551,f333(f333(f135(x84552),f333(f333(f139(x84552),f333(f197(f876(x84552)),x84553)),x84554)),x84555))+~P23(f333(f333(f247(a875),f333(f197(f876(x84552)),x84553)),f333(f197(f876(x84552)),x84554))) % 183.16/183.18 [8544]~E(f333(f333(f79(a875),f333(f333(f80(a875),x85443),x85444)),x85441),f333(f333(f79(a875),f333(f333(f80(a875),x85442),x85444)),x85445))+~P23(f333(f333(f247(a875),x85443),x85442))+E(x85441,f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x85442),x85443)),x85444)),x85445)) % 183.16/183.18 [8545]~E(f333(f333(f79(a875),f333(f333(f80(a875),x85451),x85453)),x85454),f333(f333(f79(a875),f333(f333(f80(a875),x85452),x85453)),x85455))+~P23(f333(f333(f247(a875),x85452),x85451))+E(f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x85451),x85452)),x85453)),x85454),x85455) % 183.16/183.18 [8700]E(f333(f333(f79(a875),f333(f333(f80(a875),x87001),x87002)),x87003),f333(f333(f79(a875),f333(f333(f80(a875),x87004),x87002)),x87005))+~P23(f333(f333(f247(a875),x87004),x87001))+~E(x87005,f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x87001),x87004)),x87002)),x87003)) % 183.16/183.18 [8701]E(f333(f333(f79(a875),f333(f333(f80(a875),x87011),x87012)),x87013),f333(f333(f79(a875),f333(f333(f80(a875),x87014),x87012)),x87015))+~P23(f333(f333(f247(a875),x87014),x87011))+~E(f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x87011),x87014)),x87012)),x87013),x87015) % 183.16/183.18 [9564]~P58(x95642)+~P23(f333(f61(x95641),x95645))+E(f333(f333(f9(x95641,x95642),f333(f333(f18(x95641,x95642,x95642),f333(f333(f8(x95642,f882(x95642,x95642),x95641),f291(x95642)),x95643)),x95644)),x95645),f333(f333(f291(x95642),f333(f333(f9(x95641,x95642),x95643),x95645)),f333(f333(f9(x95641,x95642),x95644),x95645))) % 183.16/183.18 [9689]~E(f643(x96895,x96894,x96893,x96892,x96891),f644(x96895,x96894,x96893,x96892,x96891))+P23(f333(f333(f335(f881(x96891,x96891)),f333(f333(f268(x96891,x96891),x96892),x96893)),f309(x96891,x96894)))+~P23(f333(f333(f335(f881(x96891,x96891)),f333(f333(f268(x96891,x96891),x96892),x96893)),f309(x96891,f333(f333(f113(f882(f881(x96891,x96891),a870)),x96894),x96895)))) % 183.16/183.18 [9690]~E(f645(x96905,x96904,x96903,x96902,x96901),f646(x96905,x96904,x96903,x96902,x96901))+P23(f333(f333(f335(f881(x96901,x96901)),f333(f333(f268(x96901,x96901),x96902),x96903)),f309(x96901,x96904)))+~P23(f333(f333(f335(f881(x96901,x96901)),f333(f333(f268(x96901,x96901),x96902),x96903)),f309(x96901,f333(f333(f113(f882(f881(x96901,x96901),a870)),x96904),x96905)))) % 183.16/183.18 [9900]P23(f333(f333(f335(f881(x99001,x99001)),f333(f333(f268(x99001,x99001),x99002),f644(x99005,x99004,x99003,x99002,x99001))),f309(x99001,x99004)))+P23(f333(f333(f335(f881(x99001,x99001)),f333(f333(f268(x99001,x99001),x99002),x99003)),f309(x99001,x99004)))+~P23(f333(f333(f335(f881(x99001,x99001)),f333(f333(f268(x99001,x99001),x99002),x99003)),f309(x99001,f333(f333(f113(f882(f881(x99001,x99001),a870)),x99004),x99005)))) % 183.16/183.18 [9979]P23(f333(f333(f335(f881(x99791,x99791)),f333(f333(f268(x99791,x99791),f646(x99795,x99794,x99793,x99792,x99791)),x99793)),f309(x99791,x99794)))+P23(f333(f333(f335(f881(x99791,x99791)),f333(f333(f268(x99791,x99791),x99792),x99793)),f309(x99791,x99794)))+~P23(f333(f333(f335(f881(x99791,x99791)),f333(f333(f268(x99791,x99791),x99792),x99793)),f309(x99791,f333(f333(f113(f882(f881(x99791,x99791),a870)),x99794),x99795)))) % 183.16/183.18 [10015]P23(f333(f333(f335(f881(x100151,x100151)),f333(f333(f268(x100151,x100151),x100152),x100153)),f309(x100151,x100154)))+P23(f333(f333(f335(f881(x100151,x100151)),f333(f333(f268(x100151,x100151),f644(x100155,x100154,x100153,x100152,x100151)),f643(x100155,x100154,x100153,x100152,x100151))),x100155))+~P23(f333(f333(f335(f881(x100151,x100151)),f333(f333(f268(x100151,x100151),x100152),x100153)),f309(x100151,f333(f333(f113(f882(f881(x100151,x100151),a870)),x100154),x100155)))) % 183.16/183.18 [10016]P23(f333(f333(f335(f881(x100161,x100161)),f333(f333(f268(x100161,x100161),x100162),x100163)),f309(x100161,x100164)))+P23(f333(f333(f335(f881(x100161,x100161)),f333(f333(f268(x100161,x100161),f645(x100165,x100164,x100163,x100162,x100161)),f646(x100165,x100164,x100163,x100162,x100161))),x100165))+~P23(f333(f333(f335(f881(x100161,x100161)),f333(f333(f268(x100161,x100161),x100162),x100163)),f309(x100161,f333(f333(f113(f882(f881(x100161,x100161),a870)),x100164),x100165)))) % 183.16/183.18 [10137]~P23(f333(f333(f335(f881(f876(x101371),f876(x101371))),f333(f333(f268(f876(x101371),f876(x101371)),x101374),x101375)),f159(x101371,x101372)))+~P23(f333(f333(f335(f881(x101371,x101371)),x101373),f333(f174(f881(x101371,x101371)),f333(f333(f184(x101371,x101371),x101374),x101375))))+P23(f333(f333(f272(x101371,x101371,a870),f333(f333(f7(x101371,f882(f881(x101371,x101371),a870),f882(x101371,a870)),f333(f333(f8(f882(x101371,f882(f882(f881(x101371,x101371),a870),a870)),f882(f882(f881(x101371,x101371),a870),f882(x101371,a870)),x101371),f7(x101371,f882(f881(x101371,x101371),a870),a870)),f333(f333(f8(f882(x101371,f881(x101371,x101371)),f882(x101371,f882(f882(f881(x101371,x101371),a870),a870)),x101371),f333(f8(f881(x101371,x101371),f882(f882(f881(x101371,x101371),a870),a870),x101371),f335(f881(x101371,x101371)))),f268(x101371,x101371)))),x101372)),x101373)) % 183.16/183.18 [9592]~P23(f333(f333(f247(a875),x95923),x95922))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),x95923),x95924)),x95921)),f333(f333(f79(a875),f333(f333(f80(a875),x95922),x95924)),x95925)))+P23(f333(f333(f248(a875),x95921),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x95922),x95923)),x95924)),x95925))) % 183.16/183.18 [9593]~P23(f333(f333(f247(a875),x95933),x95932))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),x95933),x95934)),x95931)),f333(f333(f79(a875),f333(f333(f80(a875),x95932),x95934)),x95935)))+P23(f333(f333(f247(a875),x95931),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x95932),x95933)),x95934)),x95935))) % 183.16/183.18 [9611]~P23(f333(f333(f247(a875),x96111),x96114))+P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),x96111),x96112)),x96113)),f333(f333(f79(a875),f333(f333(f80(a875),x96114),x96112)),x96115)))+~P23(f333(f333(f248(a875),x96113),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x96114),x96111)),x96112)),x96115))) % 183.16/183.18 [9612]~P23(f333(f333(f247(a875),x96121),x96124))+P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),x96121),x96122)),x96123)),f333(f333(f79(a875),f333(f333(f80(a875),x96124),x96122)),x96125)))+~P23(f333(f333(f247(a875),x96123),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x96124),x96121)),x96122)),x96125))) % 183.16/183.18 [9723]~P23(f333(f333(f247(a875),x97232),x97231))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),x97231),x97233)),x97234)),f333(f333(f79(a875),f333(f333(f80(a875),x97232),x97233)),x97235)))+P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x97231),x97232)),x97233)),x97234)),x97235)) % 183.16/183.18 [9724]~P23(f333(f333(f247(a875),x97242),x97241))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),x97241),x97243)),x97244)),f333(f333(f79(a875),f333(f333(f80(a875),x97242),x97243)),x97245)))+P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x97241),x97242)),x97243)),x97244)),x97245)) % 183.16/183.18 [9777]~P23(f333(f333(f247(a875),x97774),x97771))+P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),x97771),x97772)),x97773)),f333(f333(f79(a875),f333(f333(f80(a875),x97774),x97772)),x97775)))+~P23(f333(f333(f248(a875),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x97771),x97774)),x97772)),x97773)),x97775)) % 183.16/183.18 [9778]~P23(f333(f333(f247(a875),x97784),x97781))+P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),x97781),x97782)),x97783)),f333(f333(f79(a875),f333(f333(f80(a875),x97784),x97782)),x97785)))+~P23(f333(f333(f247(a875),f333(f333(f79(a875),f333(f333(f80(a875),f333(f333(f22(a875),x97781),x97784)),x97782)),x97783)),x97785)) % 183.16/183.18 [10000]~P8(x100001,x100002,x100005,x100003)+~P23(f333(f333(f335(f881(x100001,x100001)),x100004),x100005))+P23(f333(f333(f272(x100001,x100001,a870),f333(f333(f7(x100001,f882(x100001,x100002),f882(x100001,a870)),f333(f333(f8(f882(x100002,a870),f882(f882(x100001,x100002),f882(x100001,a870)),x100001),f8(x100002,a870,x100001)),f333(f333(f8(x100002,f882(x100002,a870),x100001),a330),x100003))),x100003)),x100004)) % 183.16/183.18 [6786]~E(f333(x67864,x67865),f209(x67862))+E(f333(f187(x67861,x67862,x67863,x67864),x67865),f333(f240(x67862),x67866))+~E(f333(x67863,x67865),f333(f240(x67862),x67866)) % 183.16/183.18 [6887]~E(f333(x68873,x68876),f209(x68871))+E(f333(f242(f879(x68871),x68872,f209(x68871),x68873),f333(x68874,x68875)),f209(x68871))+~E(f333(x68874,x68875),f333(f240(x68872),x68876)) % 183.16/183.18 [7472]E(f333(x74721,x74722),f209(x74723))+~E(f333(f187(x74725,x74723,x74726,x74721),x74722),f333(f240(x74723),x74724))+E(f333(x74721,x74722),f333(f240(x74723),x74724)) % 183.16/183.18 [7508]~E(f333(f187(x75086,x75083,x75085,x75081),x75082),f333(f240(x75083),x75084))+E(f333(x75081,x75082),f333(f240(x75083),x75084))+E(f333(x75085,x75082),f333(f240(x75083),x75084)) % 183.16/183.18 [8414]~P14(x84146,x84141,x84142,x84144)+E(f333(f72(x84141,x84141,x84141,f333(x84142,x84143)),f333(x84144,x84145)),f333(f72(x84141,x84141,x84141,f333(x84144,x84145)),f333(x84142,x84143)))+~P23(f333(f61(x84146),x84145)) % 183.16/183.18 [8834]~P20(x88341,x88343,x88345,x88346)+~P20(x88343,x88342,x88344,f333(f312(x88341,x88343,x88345),x88346))+P20(x88341,x88342,f333(f72(x88343,x88342,x88341,x88344),x88345),x88346) % 183.16/183.18 [9402]~P23(f333(f333(x94023,x94022),x94026))+~P23(f333(f333(x94024,x94025),x94022))+P23(f333(f333(f335(x94021),x94022),f301(x94021,x94023,x94024,x94025,x94026))) % 183.16/183.18 [9403]~P23(f333(f333(x94034,x94032),x94036))+~P23(f333(f333(x94033,x94035),x94032))+P23(f333(f333(f335(x94031),x94032),f298(x94031,x94033,x94034,x94035,x94036))) % 183.16/183.18 [9512]E(x95121,x95122)+E(x95123,x95124)+~P23(f333(f333(f335(f881(f876(x95125),f876(x95125))),f333(f333(f268(f876(x95125),f876(x95125)),f333(f333(f152(x95125),x95123),x95121)),f333(f333(f152(x95125),x95124),x95122))),f158(x95125,x95126))) % 183.16/183.18 [9521]~E(x95212,x95214)+P23(f333(f333(f335(f881(f876(x95211),f876(x95211))),f333(f333(f268(f876(x95211),f876(x95211)),f333(f333(f152(x95211),x95212),x95213)),f333(f333(f152(x95211),x95214),x95215))),f146(x95211,x95216)))+~P23(f333(f333(f335(f881(f876(x95211),f876(x95211))),f333(f333(f268(f876(x95211),f876(x95211)),x95213),x95215)),f146(x95211,x95216))) % 183.16/183.18 [9522]~E(x95222,x95224)+P23(f333(f333(f335(f881(f876(x95221),f876(x95221))),f333(f333(f268(f876(x95221),f876(x95221)),f333(f333(f152(x95221),x95222),x95223)),f333(f333(f152(x95221),x95224),x95225))),f148(x95221,x95226)))+~P23(f333(f333(f335(f881(f876(x95221),f876(x95221))),f333(f333(f268(f876(x95221),f876(x95221)),x95223),x95225)),f148(x95221,x95226))) % 183.16/183.18 [9523]~E(x95232,x95234)+P23(f333(f333(f335(f881(f876(x95231),f876(x95231))),f333(f333(f268(f876(x95231),f876(x95231)),f333(f333(f152(x95231),x95232),x95233)),f333(f333(f152(x95231),x95234),x95235))),f158(x95231,x95236)))+~P23(f333(f333(f335(f881(f876(x95231),f876(x95231))),f333(f333(f268(f876(x95231),f876(x95231)),x95233),x95235)),f158(x95231,x95236))) % 183.16/183.18 [9524]~E(x95242,x95244)+P23(f333(f333(f335(f881(f876(x95241),f876(x95241))),f333(f333(f268(f876(x95241),f876(x95241)),f333(f333(f135(x95241),x95242),x95243)),f333(f333(f135(x95241),x95244),x95245))),f158(x95241,x95246)))+~P23(f333(f333(f335(f881(f876(x95241),f876(x95241))),f333(f333(f268(f876(x95241),f876(x95241)),x95243),x95245)),f158(x95241,x95246))) % 183.16/183.18 [9525]~E(x95253,x95255)+P23(f333(f333(f335(f881(f876(x95251),f876(x95251))),f333(f333(f268(f876(x95251),f876(x95251)),f333(f333(f135(x95251),x95252),x95253)),f333(f333(f135(x95251),x95254),x95255))),f158(x95251,x95256)))+~P23(f333(f333(f335(f881(f876(x95251),f876(x95251))),f333(f333(f268(f876(x95251),f876(x95251)),x95252),x95254)),f158(x95251,x95256))) % 183.16/183.18 [9580]E(x95801,x95802)+P23(f333(f333(f335(f881(f876(x95803),f876(x95803))),f333(f333(f268(f876(x95803),f876(x95803)),x95801),x95802)),f158(x95803,x95804)))+~P23(f333(f333(f335(f881(f876(x95803),f876(x95803))),f333(f333(f268(f876(x95803),f876(x95803)),f333(f333(f152(x95803),x95805),x95801)),f333(f333(f152(x95803),x95806),x95802))),f158(x95803,x95804))) % 183.16/183.18 [9727]~E(x97273,x97275)+P23(f333(f333(f335(f881(f876(x97271),f876(x97271))),f333(f333(f268(f876(x97271),f876(x97271)),f333(f333(f135(x97271),x97272),f333(f333(f152(x97271),x97273),f116(x97271)))),f333(f333(f135(x97271),x97274),f333(f333(f152(x97271),x97275),f116(x97271))))),f158(x97271,x97276)))+~P23(f333(f333(f335(f881(f876(x97271),f876(x97271))),f333(f333(f268(f876(x97271),f876(x97271)),x97272),x97274)),f158(x97271,x97276))) % 183.16/183.18 [9743]E(f333(x97431,x97432),f209(x97433))+~E(f333(f242(f879(x97436),x97433,f209(x97436),x97434),f333(x97431,x97432)),f209(x97436))+E(f333(x97434,f767(x97432,x97431,x97434,x97435,x97436,x97433)),f209(x97436)) % 183.16/183.18 [9744]E(f333(x97441,x97442),f209(x97443))+~E(f333(f242(f879(x97446),x97443,f209(x97446),x97444),f333(x97441,x97442)),f209(x97446))+E(f333(f240(x97443),f767(x97442,x97441,x97444,x97445,x97446,x97443)),f333(x97441,x97442)) % 183.16/183.18 [9781]E(x97811,x97812)+E(x97813,x97814)+~P23(f333(f333(f335(f881(f876(x97815),f876(x97815))),f333(f333(f268(f876(x97815),f876(x97815)),f333(f333(f135(x97815),x97813),f333(f333(f152(x97815),x97811),f116(x97815)))),f333(f333(f135(x97815),x97814),f333(f333(f152(x97815),x97812),f116(x97815))))),f158(x97815,x97816))) % 183.16/183.18 [9806]E(x98061,x98062)+~P23(f333(f333(f335(f881(f876(x98063),f876(x98063))),f333(f333(f268(f876(x98063),f876(x98063)),f333(f333(f135(x98063),x98061),f333(f333(f152(x98063),x98065),f116(x98063)))),f333(f333(f135(x98063),x98062),f333(f333(f152(x98063),x98066),f116(x98063))))),f158(x98063,x98064)))+P23(f333(f333(f335(f881(f876(x98063),f876(x98063))),f333(f333(f268(f876(x98063),f876(x98063)),x98061),x98062)),f158(x98063,x98064))) % 183.16/183.18 [9842]~P23(f333(f333(f335(f881(f882(x98421,a870),f882(x98421,a870))),f333(f333(f268(f882(x98421,a870),f882(x98421,a870)),x98422),x98424)),f325(x98421,x98426)))+~P23(f333(f333(f335(f881(f882(x98421,a870),f882(x98421,a870))),f333(f333(f268(f882(x98421,a870),f882(x98421,a870)),x98423),x98425)),f325(x98421,x98426)))+P23(f333(f333(f335(f881(f882(x98421,a870),f882(x98421,a870))),f333(f333(f268(f882(x98421,a870),f882(x98421,a870)),f333(f333(f113(f882(x98421,a870)),x98422),x98423)),f333(f333(f113(f882(x98421,a870)),x98424),x98425))),f325(x98421,x98426))) % 183.16/183.18 [5241]~E(f333(x52413,x52416),x52415)+~E(x52414,f333(f240(x52411),x52416))+E(f333(f333(f210(x52411,x52412),x52413),x52414),f333(f240(x52412),x52415)) % 183.16/183.18 [5656]~E(f333(f333(f135(x56561),x56566),x56563),x56565)+E(f333(f333(f135(x56561),x56562),x56563),f333(f333(f152(x56561),x56564),x56565))+~E(x56562,f333(f333(f152(x56561),x56564),x56566)) % 183.16/183.18 [5657]~E(f333(f333(f135(x56571),x56576),x56573),x56575)+E(f333(f333(f135(x56571),x56572),x56573),f333(f333(f135(x56571),x56574),x56575))+~E(x56572,f333(f333(f135(x56571),x56574),x56576)) % 183.16/183.18 [5659]E(f333(f333(f135(x56591),x56592),x56593),f333(f333(f152(x56591),x56594),x56595))+~E(f333(f333(f152(x56591),x56594),x56596),x56592)+~E(x56595,f333(f333(f135(x56591),x56596),x56593)) % 183.16/183.18 [5661]~E(f333(f333(f135(x56611),x56612),x56616),x56614)+E(f333(f333(f135(x56611),x56612),x56613),f333(f333(f135(x56611),x56614),x56615))+~E(x56613,f333(f333(f135(x56611),x56616),x56615)) % 183.16/183.18 [6780]E(f333(x67801,x67802),f333(x67803,x67802))+~E(f333(f333(f155(x67804,x67805),x67801),x67806),f333(f333(f155(x67804,x67805),x67803),x67806))+~P23(f333(f333(f335(x67804),x67802),f333(f174(x67804),x67806))) % 183.16/183.18 [7166]~P14(x71664,x71665,x71666,x71661)+E(f333(f333(x71661,x71662),x71663),f333(f333(f64(x71664,x71665,x71666),x71663),x71662))+~P23(f333(f61(x71664),x71662)) % 183.16/183.18 [7232]~E(x72322,f333(x72324,x72326))+~P23(f333(f333(f335(x72323),x72326),x72325))+P23(f333(f333(f335(x72321),x72322),f333(f312(x72323,x72321,x72324),x72325))) % 183.16/183.18 [7233]~E(f333(x72334,x72332),x72336)+~P23(f333(f333(f335(x72333),x72336),x72335))+P23(f333(f333(f335(x72331),x72332),f333(f313(x72331,x72333,x72334),x72335))) % 183.16/183.18 [7689]~P32(x76891,x76892,x76894,x76896)+P32(x76891,x76892,f333(f333(f152(x76891),x76893),x76894),f333(f333(f152(x76891),x76895),x76896))+~P23(f333(f333(x76892,x76893),x76895)) % 183.16/183.18 [8708]~P51(x87084,x87085,x87081,x87082,x87086)+E(f333(x87081,f333(x87082,x87083)),x87083)+~P23(f333(f333(f335(x87085),x87083),x87086)) % 183.16/183.18 [9514]E(x95141,x95142)+E(f333(f197(f876(x95143)),x95144),f333(f197(f876(x95143)),x95145))+~P23(f333(f333(f335(f881(f876(x95143),f876(x95143))),f333(f333(f268(f876(x95143),f876(x95143)),f333(f333(f152(x95143),x95141),x95144)),f333(f333(f152(x95143),x95142),x95145))),f146(x95143,x95146))) % 183.16/183.18 [9576]~P11(x95761,x95762,x95763)+E(f333(f333(f64(x95761,x95762,x95763),x95764),x95765),x95766)+~P23(f333(f66(x95761,x95762,x95763,x95764,x95765),x95766)) % 183.16/183.18 [9583]E(f333(f197(f876(x95831)),x95832),f333(f197(f876(x95831)),x95833))+P23(f333(f333(f335(f881(f876(x95831),f876(x95831))),f333(f333(f268(f876(x95831),f876(x95831)),x95832),x95833)),f146(x95831,x95834)))+~P23(f333(f333(f335(f881(f876(x95831),f876(x95831))),f333(f333(f268(f876(x95831),f876(x95831)),f333(f333(f152(x95831),x95835),x95832)),f333(f333(f152(x95831),x95836),x95833))),f146(x95831,x95834))) % 183.16/183.18 [9605]~P23(f333(f333(f335(f881(x96051,x96051)),f333(f333(f268(x96051,x96051),x96052),x96054)),f309(x96051,x96056)))+P23(f333(f333(f335(f881(f876(x96051),f876(x96051))),f333(f333(f268(f876(x96051),f876(x96051)),f333(f333(f152(x96051),x96052),x96053)),f333(f333(f152(x96051),x96054),x96055))),f309(f876(x96051),f158(x96051,x96056))))+~P23(f333(f333(f335(f881(f876(x96051),f876(x96051))),f333(f333(f268(f876(x96051),f876(x96051)),x96053),x96055)),f309(f876(x96051),f158(x96051,x96056)))) % 183.16/183.18 [9787]~P23(f333(x97872,x97876))+~E(f333(f137(x97871,x97872),x97873),f333(f333(f152(x97871),x97874),x97875))+~P23(f333(f333(f335(x97871),x97876),f333(f174(x97871),f787(x97875,x97874,x97873,x97872,x97871)))) % 183.16/183.18 [9788]~P23(f333(x97884,x97886))+~E(f333(f333(f152(x97881),x97882),x97883),f333(f137(x97881,x97884),x97885))+~P23(f333(f333(f335(x97881),x97886),f333(f174(x97881),f784(x97885,x97884,x97883,x97882,x97881)))) % 183.16/183.18 [10094]~P66(x100942)+E(f333(f333(f6(x100941,x100942),f333(f333(f8(f882(x100943,a870),x100942,x100941),f333(f6(x100943,x100942),x100944)),f333(f333(f8(f882(x100943,a870),f882(x100943,a870),x100941),f253(x100943)),f333(f333(f8(f882(x100943,a870),f882(x100943,a870),x100941),f333(f18(x100943,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100943),a331),f333(f333(f7(x100943,f882(x100943,a870),a870),f335(x100943)),x100945)))),f333(f7(x100943,x100941,a870),f333(f333(f8(x100941,f882(x100941,a870),x100943),a330),x100946)))))),f333(f312(x100943,x100941,x100946),x100945)),f333(f333(f6(x100943,x100942),x100944),x100945))+~P23(f333(f61(x100943),x100945)) % 183.16/183.18 [6838]~P106(x68383)+P23(f333(x68382,x68385))+E(f333(f137(x68381,x68382),f333(f333(f149(x68381,x68383,x68384),x68385),x68386)),f333(f137(x68381,x68382),x68386)) % 183.16/183.18 [6840]P23(f333(x68401,x68402))+~E(f168(x68403,x68401,x68404),f333(f333(f268(f876(x68403),f876(x68403)),x68405),x68406))+~P23(f333(f333(f335(x68403),x68402),f333(f174(x68403),x68405))) % 183.16/183.18 [6884]~P23(f333(x68842,x68846))+~E(f168(x68841,x68842,x68843),f333(f333(f268(f876(x68841),f876(x68841)),x68844),x68845))+~P23(f333(f333(f335(x68841),x68846),f333(f174(x68841),x68845))) % 183.16/183.18 [7553]~P10(x75531,x75532,x75533)+~P23(f333(f61(x75531),x75536))+E(f333(f333(f64(x75531,x75532,x75533),x75534),f333(f333(f311(x75531),x75535),x75536)),f333(f333(f64(x75531,x75532,x75533),f333(f333(x75533,x75535),x75534)),x75536)) % 183.16/183.18 [7603]~P106(x76032)+~P23(f333(f333(f247(x76032),f333(x76033,x76034)),f333(x76033,x76035)))+E(f333(f333(f149(x76031,x76032,x76033),x76034),f333(f333(f152(x76031),x76035),x76036)),f333(f333(f152(x76031),x76034),f333(f333(f152(x76031),x76035),x76036))) % 183.16/183.18 [7720]E(x77201,x77202)+~E(f333(f333(f270(x77203,x77204),x77201),f333(f16(f882(x77204,a870),x77203),x77205)),f333(f333(f270(x77203,x77204),x77202),f333(f16(f882(x77204,a870),x77203),x77205)))+~P23(f333(f333(f335(x77204),x77206),x77205)) % 183.16/183.19 [7788]~P10(x77881,x77882,x77883)+~P23(f333(f61(x77881),x77886))+E(f333(f333(f64(x77881,x77882,x77883),x77884),f333(f333(f311(x77881),x77885),x77886)),f333(f333(x77883,x77885),f333(f333(f64(x77881,x77882,x77883),x77884),x77886))) % 183.16/183.19 [7905]~P11(x79051,x79052,x79053)+~P23(f333(f61(x79051),x79056))+E(f333(f333(f64(x79051,x79052,x79053),f333(f333(x79053,x79054),x79055)),x79056),f333(f333(x79053,x79054),f333(f333(f64(x79051,x79052,x79053),x79055),x79056))) % 183.16/183.19 [7975]~P15(x79752,x79755,x79756,x79751)+~P23(f333(f61(x79752),x79754))+E(f333(x79751,f333(f333(f311(x79752),x79753),x79754)),f333(f72(x79755,x79755,x79755,f333(x79751,x79754)),f333(x79756,x79753))) % 183.16/183.19 [8013]~P106(x80132)+P23(f333(f333(f247(x80132),f333(x80133,x80134)),f333(x80133,x80135)))+E(f333(f333(f149(x80131,x80132,x80133),x80134),f333(f333(f152(x80131),x80135),x80136)),f333(f333(f152(x80131),x80135),f333(f333(f149(x80131,x80132,x80133),x80134),x80136))) % 183.16/183.19 [8156]~E(f333(f197(f876(x81561)),x81565),f333(f197(f876(x81562)),x81566))+~E(f333(f197(f876(x81561)),x81563),f333(f197(f876(x81562)),x81564))+E(f333(f333(f135(f881(x81561,x81562)),f333(f333(f184(x81561,x81562),x81563),x81564)),f333(f333(f184(x81561,x81562),x81565),x81566)),f333(f333(f184(x81561,x81562),f333(f333(f135(x81561),x81563),x81565)),f333(f333(f135(x81562),x81564),x81566))) % 183.16/183.19 [8270]~E(x82702,f333(f312(x82703,x82701,x82704),x82706))+P23(f333(f333(f247(f882(x82701,a870)),x82702),f333(f312(x82703,x82701,x82704),x82705)))+~P23(f333(f333(f247(f882(x82703,a870)),x82706),x82705)) % 183.16/183.19 [8371]~P106(x83715)+E(f333(x83711,x83712),f333(x83711,x83713))+E(f333(f333(f149(x83714,x83715,x83711),x83712),f333(f333(f149(x83714,x83715,x83711),x83713),x83716)),f333(f333(f149(x83714,x83715,x83711),x83713),f333(f333(f149(x83714,x83715,x83711),x83712),x83716))) % 183.16/183.19 [8407]~P20(x84073,x84071,x84074,x84075)+P20(x84073,x84071,f333(f333(f333(f71(x84073,x84071),x84074),x84076),x84072),x84075)+P23(f333(f333(f335(x84071),x84072),f333(f312(x84073,x84071,x84074),x84075))) % 183.16/183.19 [8553]~P23(f333(f333(f335(x85532),x85534),f333(x85536,x85533)))+~P23(f333(f333(f335(x85531),x85533),x85535))+P23(f333(f333(f335(f881(x85531,x85532)),f333(f333(f268(x85531,x85532),x85533),x85534)),f333(f333(f270(x85531,x85532),x85535),x85536))) % 183.16/183.19 [9014]~P66(x90142)+~P20(x90144,x90141,x90145,x90146)+E(f333(f333(f6(x90141,x90142),x90143),f333(f312(x90144,x90141,x90145),x90146)),f333(f333(f6(x90144,x90142),f333(f72(x90141,x90142,x90144,x90143),x90145)),x90146)) % 183.16/183.19 [9015]~P73(x90152)+~P20(x90154,x90151,x90155,x90156)+E(f333(f333(f9(x90151,x90152),x90153),f333(f312(x90154,x90151,x90155),x90156)),f333(f333(f9(x90154,x90152),f333(f72(x90151,x90152,x90154,x90153),x90155)),x90156)) % 183.16/183.19 [9063]~P34(x90632,x90635,x90631,x90633,x90636)+P23(f333(f333(x90631,f333(f333(f166(x90632),x90633),x90634)),f333(f333(f166(x90635),x90636),x90634)))+~P23(f333(f333(f248(a875),x90634),f333(f197(f876(x90635)),x90636))) % 183.16/183.19 [9064]~P34(x90642,x90645,x90641,x90643,x90646)+P23(f333(f333(x90641,f333(f333(f166(x90642),x90643),x90644)),f333(f333(f166(x90645),x90646),x90644)))+~P23(f333(f333(f248(a875),x90644),f333(f197(f876(x90642)),x90643))) % 183.16/183.19 [9272]~P14(x92723,x92721,x92726,x92722)+~P23(f333(f61(x92723),x92724))+E(f333(f72(x92721,x92721,x92721,f333(x92722,f333(f333(f22(f882(x92723,a870)),x92724),f333(f333(f311(x92723),x92725),f196(f882(x92723,a870)))))),f333(x92726,x92725)),f333(x92722,f333(f333(f311(x92723),x92725),x92724))) % 183.16/183.19 [9880]~E(f333(f312(x98802,x98804,x98806),f256(f882(x98802,a870))),f256(f882(x98804,a870)))+~E(f333(f312(x98801,x98803,x98805),f256(f882(x98801,a870))),f256(f882(x98803,a870)))+E(f333(f312(f881(x98801,x98802),f881(x98803,x98804),f273(x98801,x98803,x98802,x98804,x98805,x98806)),f256(f882(f881(x98801,x98802),a870))),f256(f882(f881(x98803,x98804),a870))) % 183.16/183.19 [9928]~P20(x99283,x99284,x99285,f333(x99286,f844(x99286,x99285,x99284,x99283,x99282,x99281)))+P20(x99283,x99284,x99285,f333(f333(f42(x99282,f882(x99283,a870)),x99281),x99286))+E(x99281,f196(f882(x99282,a870))) % 183.16/183.19 [9986]P20(x99866,x99865,x99864,f333(f333(f42(x99862,f882(x99866,a870)),x99861),x99863))+E(x99861,f196(f882(x99862,a870)))+P23(f333(f333(f335(x99862),f844(x99863,x99864,x99865,x99866,x99862,x99861)),x99861)) % 183.16/183.19 [9991]P23(f333(f333(f335(x99911),f618(x99912,x99913,x99914,x99915,x99916,x99911)),x99916))+P23(f333(f333(f247(f882(f881(x99911,x99914),a870)),f333(f333(f270(x99911,x99914),x99916),x99913)),f333(f333(f270(x99911,x99914),x99915),x99912)))+~P23(f333(f333(f247(f882(x99911,a870)),x99916),x99915)) % 183.16/183.19 [10029]P19(x100296,x100295,f333(f333(f311(f874(x100296)),f333(f333(f333(f91(x100296),x100291),x100293),x100292)),f196(f882(f874(x100296),a870))))+~P19(x100296,x100295,f333(f333(f311(f874(x100296)),f333(f333(f333(f91(x100296),x100294),x100293),x100292)),f196(f882(f874(x100296),a870))))+P23(f333(f333(x100291,f786(x100291,x100292,x100293,x100294,x100295,x100296)),f830(x100291,x100292,x100293,x100294,x100295,x100296))) % 183.16/183.19 [10030]P19(x100306,x100305,f333(f333(f311(f874(x100306)),f333(f333(f333(f91(x100306),x100304),x100303),x100302)),f196(f882(f874(x100306),a870))))+~P19(x100306,x100305,f333(f333(f311(f874(x100306)),f333(f333(f333(f91(x100306),x100304),x100303),x100301)),f196(f882(f874(x100306),a870))))+P23(f333(f333(x100301,f840(x100302,x100301,x100303,x100304,x100305,x100306)),f856(x100302,x100301,x100303,x100304,x100305,x100306))) % 183.16/183.19 [10069]~P19(x100691,x100692,f333(f333(f311(f874(x100691)),f333(f333(f333(f91(x100691),x100693),x100694),x100696)),f196(f882(f874(x100691),a870))))+P19(x100691,x100692,f333(f333(f311(f874(x100691)),f333(f333(f333(f91(x100691),x100693),x100694),x100695)),f196(f882(f874(x100691),a870))))+~P23(f333(f333(x100695,f840(x100695,x100696,x100694,x100693,x100692,x100691)),f856(x100695,x100696,x100694,x100693,x100692,x100691))) % 183.16/183.19 [10070]~P19(x100701,x100702,f333(f333(f311(f874(x100701)),f333(f333(f333(f91(x100701),x100706),x100704),x100705)),f196(f882(f874(x100701),a870))))+P19(x100701,x100702,f333(f333(f311(f874(x100701)),f333(f333(f333(f91(x100701),x100703),x100704),x100705)),f196(f882(f874(x100701),a870))))+~P23(f333(f333(x100706,f786(x100703,x100705,x100704,x100706,x100702,x100701)),f830(x100703,x100705,x100704,x100706,x100702,x100701))) % 183.16/183.19 [10105]~P23(f333(f333(f247(f882(x101052,a870)),f333(x101054,f618(x101056,x101054,x101052,x101055,x101053,x101051))),f333(x101056,f618(x101056,x101054,x101052,x101055,x101053,x101051))))+~P23(f333(f333(f247(f882(x101051,a870)),x101053),x101055))+P23(f333(f333(f247(f882(f881(x101051,x101052),a870)),f333(f333(f270(x101051,x101052),x101053),x101054)),f333(f333(f270(x101051,x101052),x101055),x101056))) % 183.16/183.19 [7740]~P23(f333(x77401,x77405))+~P23(f333(x77406,x77404))+P23(f333(x77401,f333(f271(x77402,x77403),f333(f333(f268(x77402,x77403),x77404),x77405)))) % 183.16/183.19 [7741]~P23(f333(x77411,x77414))+~P23(f333(x77416,x77415))+P23(f333(x77411,f333(f267(x77412,x77413),f333(f333(f268(x77412,x77413),x77414),x77415)))) % 183.16/183.19 [7764]~E(f333(f197(f876(x77641)),x77643),f333(f197(f876(x77644)),x77645))+~E(f333(f333(f180(x77641,x77644),f333(f333(f184(x77641,x77644),x77643),x77645)),x77642),f333(f240(x77644),x77646))+P23(f333(f333(f335(x77641),x77642),f333(f174(x77641),x77643))) % 183.16/183.19 [7793]~P23(f333(f333(x77934,x77936),x77935))+~P23(f333(f333(f335(x77931),x77936),x77933))+P23(f333(f333(f333(f41(x77931,f882(x77932,a870)),x77933),x77934),x77935)) % 183.16/183.19 [8104]~P23(f333(f333(f335(x81041),x81042),f333(x81045,x81046)))+~P23(f333(f333(f335(x81043),x81046),x81044))+P23(f333(f333(f335(x81041),x81042),f333(f333(f41(x81043,f882(x81041,a870)),x81044),x81045))) % 183.16/183.19 [8148]P23(f333(f333(x81481,x81482),x81483))+~P23(f333(f333(x81484,x81482),x81483))+~P23(f333(f333(f247(f882(x81485,f882(x81486,a870))),x81484),x81481)) % 183.16/183.19 [8294]P23(f333(f333(x82941,x82942),x82943))+~P23(f333(f333(f335(x82944),x82942),x82945))+~P23(f333(f333(f333(f42(x82944,f882(x82946,a870)),x82945),x82941),x82943)) % 183.16/183.19 [8431]P23(f333(f333(f335(x84311),x84312),f333(x84313,x84314)))+~P23(f333(f333(f335(x84315),x84314),x84316))+~P23(f333(f333(f335(x84311),x84312),f333(f333(f42(x84315,f882(x84311,a870)),x84316),x84313))) % 183.16/183.19 [8621]~P23(f333(f333(f333(f333(a204,x86211),x86213),x86214),x86216))+~P23(f333(f333(f333(f333(a204,x86212),x86216),x86214),x86215))+P23(f333(f333(f333(f333(a204,f32(x86211,x86212)),x86213),x86214),x86215)) % 183.16/183.19 [8690]~P8(x86904,x86905,x86906,x86901)+E(f333(x86901,x86902),f333(x86901,x86903))+~P23(f333(f333(f335(f881(x86904,x86904)),f333(f333(f268(x86904,x86904),x86902),x86903)),x86906)) % 183.16/183.19 [8721]P23(f333(f333(f247(f882(x87211,a870)),x87212),f333(x87213,x87214)))+~P23(f333(f333(f335(x87215),x87214),x87216))+~P23(f333(f333(f247(f882(x87211,a870)),x87212),f333(f333(f42(x87215,f882(x87211,a870)),x87216),x87213))) % 183.16/183.19 [8749]~P49(x87493,x87494,f333(f288(x87494,x87493),x87495))+E(x87491,f196(f882(x87492,a870)))+E(f333(f333(f42(x87492,f882(x87493,a870)),x87491),f333(f333(f8(f882(x87494,a870),f882(x87493,a870),x87492),f287(x87494,x87493,x87495)),x87496)),f333(f287(x87494,x87493,x87495),f333(f333(f42(x87492,f882(x87494,a870)),x87491),x87496))) % 183.16/183.19 [8825]P23(f333(f333(f335(x88251),x88252),f333(f287(x88253,x88251,x88254),x88255)))+~P23(f333(f333(f335(x88253),x88256),x88255))+~P23(f333(f333(f335(f881(x88253,x88251)),f333(f333(f268(x88253,x88251),x88256),x88252)),x88254)) % 183.16/183.19 [8945]P23(f333(x89451,x89452))+~P23(f333(f333(f333(f333(a204,x89454),x89452),x89455),x89456))+P23(f333(f333(f333(f333(a204,f29(x89451,x89453,x89454)),x89452),x89455),x89456)) % 183.16/183.19 [8962]~P23(f333(x89621,x89624))+~P23(f333(f333(f333(f333(a204,x89622),x89624),x89625),x89626))+P23(f333(f333(f333(f333(a204,f29(x89621,x89622,x89623)),x89624),x89625),x89626)) % 183.16/183.19 [9136]P23(f333(f333(f247(f882(x91361,a870)),f333(f287(x91362,x91361,x91363),x91364)),f333(f287(x91362,x91361,x91365),x91366)))+~P23(f333(f333(f247(f882(x91362,a870)),x91364),x91366))+~P23(f333(f333(f247(f882(f881(x91362,x91361),a870)),x91363),x91365)) % 183.16/183.19 [9224]P23(f333(x92241,x92242))+P23(f333(f333(f333(f333(a204,x92243),x92242),x92244),x92245))+~P23(f333(f333(f333(f333(a204,f29(x92241,x92246,x92243)),x92242),x92244),x92245)) % 183.16/183.19 [9229]~P23(f333(x92295,x92292))+P23(f333(f333(f333(f333(a204,x92291),x92292),x92293),x92294))+~P23(f333(f333(f333(f333(a204,f29(x92295,x92291,x92296)),x92292),x92293),x92294)) % 183.16/183.19 [9279]P23(f333(f333(f333(f333(a204,x92791),x92792),x92793),x92794))+P23(f333(f333(f333(f333(a204,x92795),x92792),x92793),x92794))+~P23(f333(f333(f333(f333(a204,f29(x92796,x92791,x92795)),x92792),x92793),x92794)) % 183.16/183.19 [9321]~P23(f333(f333(f335(x93212),x93216),x93214))+~P23(f333(f333(f247(f882(x93211,a870)),x93213),x93215))+P23(f333(f333(f247(f882(f881(x93211,x93212),a870)),f333(f333(f270(x93211,x93212),x93213),f333(f16(f882(x93212,a870),x93211),x93214))),f333(f333(f270(x93211,x93212),x93215),f333(f16(f882(x93212,a870),x93211),x93214)))) % 183.16/183.19 [9334]~P34(x93341,x93342,x93343,x93345,x93346)+P23(f333(f333(f272(x93341,x93342,a870),x93343),x93344))+~P23(f333(f333(f335(f881(x93341,x93342)),x93344),f333(f174(f881(x93341,x93342)),f333(f333(f184(x93341,x93342),x93345),x93346)))) % 183.16/183.19 [9468]~E(x94683,x94685)+P23(f333(f333(f335(f881(f876(x94681),f876(x94681))),f333(f333(f268(f876(x94681),f876(x94681)),f333(f333(f152(x94681),x94682),x94683)),f333(f333(f152(x94681),x94684),x94685))),f158(x94681,x94686)))+~P23(f333(f333(f335(f881(x94681,x94681)),f333(f333(f268(x94681,x94681),x94682),x94684)),x94686)) % 183.16/183.19 [9474]~E(f333(f197(f876(x94741)),x94745),f333(f197(f876(x94742)),x94746))+E(f189(x94741,x94742,f190(x94741,x94742,x94743,f333(f333(f22(f882(x94741,a870)),x94744),f333(f174(x94741),x94745))),x94745,x94746),f190(x94741,x94742,f189(x94741,x94742,x94743,x94745,x94746),x94744))+~P23(f333(f333(f247(f882(x94741,a870)),f333(f174(x94741),x94745)),x94744)) % 183.16/183.19 [9475]~E(f333(f197(f876(x94751)),x94753),f333(f197(f876(x94751)),x94755))+P23(f333(f333(f335(f881(f876(x94751),f876(x94751))),f333(f333(f268(f876(x94751),f876(x94751)),f333(f333(f152(x94751),x94752),x94753)),f333(f333(f152(x94751),x94754),x94755))),f146(x94751,x94756)))+~P23(f333(f333(f335(f881(x94751,x94751)),f333(f333(f268(x94751,x94751),x94752),x94754)),x94756)) % 183.16/183.19 [9505]P23(f333(f333(f335(f881(x95051,x95051)),f333(f333(f268(x95051,x95051),x95052),x95053)),f333(f333(f191(f881(x95051,x95051),a870),f333(a115,x95054)),x95055)))+~P23(f333(f333(f335(f881(x95051,x95051)),f333(f333(f268(x95051,x95051),x95056),x95053)),x95055))+~P23(f333(f333(f335(f881(x95051,x95051)),f333(f333(f268(x95051,x95051),x95052),x95056)),f333(f333(f191(f881(x95051,x95051),a870),x95054),x95055))) % 183.16/183.19 [9506]P23(f333(f333(f335(f881(x95061,x95061)),f333(f333(f268(x95061,x95061),x95062),x95063)),f333(f333(f191(f881(x95061,x95061),a870),f333(a115,x95064)),x95065)))+~P23(f333(f333(f335(f881(x95061,x95061)),f333(f333(f268(x95061,x95061),x95062),x95066)),x95065))+~P23(f333(f333(f335(f881(x95061,x95061)),f333(f333(f268(x95061,x95061),x95066),x95063)),f333(f333(f191(f881(x95061,x95061),a870),x95064),x95065))) % 183.16/183.19 [9510]~P23(f333(f333(f335(x95104),x95105),x95106))+P23(f333(f333(f247(f882(x95101,a870)),x95102),x95103))+~P23(f333(f333(f247(f882(f881(x95101,x95104),a870)),f333(f333(f270(x95101,x95104),x95102),f333(f16(f882(x95104,a870),x95101),x95106))),f333(f333(f270(x95101,x95104),x95103),f333(f16(f882(x95104,a870),x95101),x95106)))) % 183.16/183.19 [9554]E(x95541,x95542)+~P23(f333(f333(f335(f881(f876(x95543),f876(x95543))),f333(f333(f268(f876(x95543),f876(x95543)),f333(f333(f152(x95543),x95541),x95545)),f333(f333(f152(x95543),x95542),x95546))),f146(x95543,x95544)))+P23(f333(f333(f335(f881(x95543,x95543)),f333(f333(f268(x95543,x95543),x95541),x95542)),x95544)) % 183.16/183.19 [9555]E(x95551,x95552)+~P23(f333(f333(f335(f881(f876(x95553),f876(x95553))),f333(f333(f268(f876(x95553),f876(x95553)),f333(f333(f152(x95553),x95551),x95555)),f333(f333(f152(x95553),x95552),x95556))),f148(x95553,x95554)))+P23(f333(f333(f335(f881(x95553,x95553)),f333(f333(f268(x95553,x95553),x95551),x95552)),x95554)) % 183.16/183.19 [9556]E(x95561,x95562)+~P23(f333(f333(f335(f881(f876(x95563),f876(x95563))),f333(f333(f268(f876(x95563),f876(x95563)),f333(f333(f152(x95563),x95561),x95565)),f333(f333(f152(x95563),x95562),x95566))),f158(x95563,x95564)))+P23(f333(f333(f335(f881(x95563,x95563)),f333(f333(f268(x95563,x95563),x95561),x95562)),x95564)) % 183.16/183.19 [9591]P23(f333(f333(f335(f881(f876(x95911),f876(x95911))),f333(f333(f268(f876(x95911),f876(x95911)),f333(f333(f152(x95911),x95912),x95913)),f333(f333(f152(x95911),x95914),x95915))),f159(x95911,x95916)))+~P23(f333(f333(f335(f881(f876(x95911),f876(x95911))),f333(f333(f268(f876(x95911),f876(x95911)),x95913),x95915)),f159(x95911,x95916)))+~P23(f333(f333(f335(f881(x95911,x95911)),f333(f333(f268(x95911,x95911),x95912),x95914)),x95916)) % 183.16/183.19 [9609]P23(f333(x96091,x96092))+~P23(f333(x96091,f836(x96091,x96093,x96094,x96095,x96096)))+~P23(f333(f333(f335(x96096),x96092),f333(f333(f41(x96095,f882(x96096,a870)),x96094),x96093))) % 183.16/183.19 [9614]~P23(f333(f333(f335(f881(f876(x96141),f876(x96141))),f333(f333(f268(f876(x96141),f876(x96141)),f333(f333(f152(x96141),x96142),x96145)),f333(f333(f152(x96141),x96143),x96146))),f146(x96141,x96144)))+P23(f333(f333(f335(f881(f876(x96141),f876(x96141))),f333(f333(f268(f876(x96141),f876(x96141)),x96145),x96146)),f146(x96141,x96144)))+P23(f333(f333(f335(f881(x96141,x96141)),f333(f333(f268(x96141,x96141),x96142),x96143)),x96144)) % 183.16/183.19 [9615]~P23(f333(f333(f335(f881(f876(x96151),f876(x96151))),f333(f333(f268(f876(x96151),f876(x96151)),f333(f333(f152(x96151),x96152),x96155)),f333(f333(f152(x96151),x96153),x96156))),f148(x96151,x96154)))+P23(f333(f333(f335(f881(f876(x96151),f876(x96151))),f333(f333(f268(f876(x96151),f876(x96151)),x96155),x96156)),f148(x96151,x96154)))+P23(f333(f333(f335(f881(x96151,x96151)),f333(f333(f268(x96151,x96151),x96152),x96153)),x96154)) % 183.16/183.19 [9616]~P23(f333(f333(f335(f881(f876(x96161),f876(x96161))),f333(f333(f268(f876(x96161),f876(x96161)),f333(f333(f152(x96161),x96162),x96165)),f333(f333(f152(x96161),x96163),x96166))),f158(x96161,x96164)))+P23(f333(f333(f335(f881(f876(x96161),f876(x96161))),f333(f333(f268(f876(x96161),f876(x96161)),x96165),x96166)),f158(x96161,x96164)))+P23(f333(f333(f335(f881(x96161,x96161)),f333(f333(f268(x96161,x96161),x96162),x96163)),x96164)) % 183.16/183.19 [9699]P23(f333(x96991,x96992))+P23(f333(f333(f335(x96993),f837(x96991,x96994,x96995,x96993,x96996)),x96995))+~P23(f333(f333(f335(x96996),x96992),f333(f333(f41(x96993,f882(x96996,a870)),x96995),x96994))) % 183.16/183.19 [9710]~E(x97102,x97104)+P23(f333(f333(f335(f881(f876(x97101),f876(x97101))),f333(f333(f268(f876(x97101),f876(x97101)),f333(f333(f135(x97101),x97102),f333(f333(f152(x97101),x97103),f116(x97101)))),f333(f333(f135(x97101),x97104),f333(f333(f152(x97101),x97105),f116(x97101))))),f158(x97101,x97106)))+~P23(f333(f333(f335(f881(x97101,x97101)),f333(f333(f268(x97101,x97101),x97103),x97105)),x97106)) % 183.16/183.19 [9797]E(x97971,x97972)+~P23(f333(f333(f335(f881(f876(x97973),f876(x97973))),f333(f333(f268(f876(x97973),f876(x97973)),f333(f333(f135(x97973),x97975),f333(f333(f152(x97973),x97971),f116(x97973)))),f333(f333(f135(x97973),x97976),f333(f333(f152(x97973),x97972),f116(x97973))))),f158(x97973,x97974)))+P23(f333(f333(f335(f881(x97973,x97973)),f333(f333(f268(x97973,x97973),x97971),x97972)),x97974)) % 183.16/183.19 [9825]~P23(f333(f333(f335(f881(f876(x98251),f876(x98251))),f333(f333(f268(f876(x98251),f876(x98251)),f333(f333(f135(x98251),x98255),f333(f333(f152(x98251),x98252),f116(x98251)))),f333(f333(f135(x98251),x98256),f333(f333(f152(x98251),x98253),f116(x98251))))),f158(x98251,x98254)))+P23(f333(f333(f335(f881(f876(x98251),f876(x98251))),f333(f333(f268(f876(x98251),f876(x98251)),x98255),x98256)),f158(x98251,x98254)))+P23(f333(f333(f335(f881(x98251,x98251)),f333(f333(f268(x98251,x98251),x98252),x98253)),x98254)) % 183.16/183.19 [9843]P23(f333(x98431,x98432))+P23(f333(f333(f335(x98433),f836(x98431,x98434,x98435,x98436,x98433)),f333(x98434,f837(x98431,x98434,x98435,x98436,x98433))))+~P23(f333(f333(f335(x98433),x98432),f333(f333(f41(x98436,f882(x98433,a870)),x98435),x98434))) % 183.16/183.19 [8840]~P11(x88403,x88404,x88401)+~P23(f333(f61(x88403),x88406))+E(f333(f333(x88401,x88402),f333(f333(f64(x88403,x88404,x88401),x88405),f333(f333(f22(f882(x88403,a870)),x88406),f333(f333(f311(x88403),x88402),f196(f882(x88403,a870)))))),f333(f333(f64(x88403,x88404,x88401),x88405),f333(f333(f311(x88403),x88402),x88406))) % 183.16/183.19 [8928]~E(f333(f333(f180(x89281,x89282),x89284),x89285),f333(f240(x89282),x89286))+~P23(f333(f333(x89283,x89285),x89286))+E(f333(f333(f180(x89281,x89282),f333(f137(f881(x89281,x89282),f333(f272(x89281,x89282,a870),x89283)),x89284)),x89285),f333(f240(x89282),x89286)) % 183.16/183.19 [9143]~P23(f333(f333(f335(x91435),x91433),x91436))+P23(f333(f333(f247(f882(x91431,a870)),f333(x91432,x91433)),x91434))+~P23(f333(f333(f247(f882(x91431,a870)),f333(f333(f41(x91435,f882(x91431,a870)),x91436),x91432)),x91434)) % 183.16/183.19 [9770]~P3(x97701,x97705,x97704)+P23(f333(f333(f335(f881(x97701,x97701)),f333(f333(f268(x97701,x97701),x97702),x97703)),x97704))+~P23(f333(f333(f335(x97701),x97706),f333(f333(f104(f882(x97701,a870)),f333(f287(x97701,x97701,x97704),f333(f333(f311(x97701),x97702),f196(f882(x97701,a870))))),f333(f287(x97701,x97701,x97704),f333(f333(f311(x97701),x97703),f196(f882(x97701,a870))))))) % 183.16/183.19 [8588]~P103(x85882)+~E(f333(f333(f79(x85882),f333(f333(f80(x85882),x85884),x85885)),x85881),f333(f333(f79(x85882),f333(f333(f80(x85882),x85883),x85885)),x85886))+E(x85881,f333(f333(f79(x85882),f333(f333(f80(x85882),f333(f333(f22(x85882),x85883),x85884)),x85885)),x85886)) % 183.16/183.19 [8589]~P103(x85891)+~E(f333(f333(f79(x85891),f333(f333(f80(x85891),x85892),x85894)),x85895),f333(f333(f79(x85891),f333(f333(f80(x85891),x85893),x85894)),x85896))+E(f333(f333(f79(x85891),f333(f333(f80(x85891),f333(f333(f22(x85891),x85892),x85893)),x85894)),x85895),x85896) % 183.16/183.19 [8752]~P103(x87521)+E(f333(f333(f79(x87521),f333(f333(f80(x87521),x87522),x87523)),x87524),f333(f333(f79(x87521),f333(f333(f80(x87521),x87525),x87523)),x87526))+~E(x87526,f333(f333(f79(x87521),f333(f333(f80(x87521),f333(f333(f22(x87521),x87522),x87525)),x87523)),x87524)) % 183.16/183.19 [8753]~P103(x87531)+E(f333(f333(f79(x87531),f333(f333(f80(x87531),x87532),x87533)),x87534),f333(f333(f79(x87531),f333(f333(f80(x87531),x87535),x87533)),x87536))+~E(f333(f333(f79(x87531),f333(f333(f80(x87531),f333(f333(f22(x87531),x87532),x87535)),x87533)),x87534),x87536) % 183.16/183.19 [9083]~P23(f333(f333(x90834,x90835),x90836))+~P23(f333(f333(x90833,x90835),x90836))+P23(f333(f333(f333(f333(f104(f882(x90831,f882(x90832,a870))),x90833),x90834),x90835),x90836)) % 183.16/183.19 [9342]P23(f333(f333(x93421,x93422),x93423))+P23(f333(f333(x93424,x93422),x93423))+~P23(f333(f333(f333(f333(f113(f882(x93425,f882(x93426,a870))),x93424),x93421),x93422),x93423)) % 183.16/183.19 [9629]~P123(x96291)+~P23(f333(f333(f248(x96291),f333(f333(f79(x96291),f333(f333(f80(x96291),x96294),x96295)),x96292)),f333(f333(f79(x96291),f333(f333(f80(x96291),x96293),x96295)),x96296)))+P23(f333(f333(f248(x96291),x96292),f333(f333(f79(x96291),f333(f333(f80(x96291),f333(f333(f22(x96291),x96293),x96294)),x96295)),x96296))) % 183.16/183.19 [9630]~P123(x96301)+~P23(f333(f333(f247(x96301),f333(f333(f79(x96301),f333(f333(f80(x96301),x96304),x96305)),x96302)),f333(f333(f79(x96301),f333(f333(f80(x96301),x96303),x96305)),x96306)))+P23(f333(f333(f247(x96301),x96302),f333(f333(f79(x96301),f333(f333(f80(x96301),f333(f333(f22(x96301),x96303),x96304)),x96305)),x96306))) % 183.16/183.19 [9653]~P123(x96531)+P23(f333(f333(f248(x96531),f333(f333(f79(x96531),f333(f333(f80(x96531),x96532),x96533)),x96534)),f333(f333(f79(x96531),f333(f333(f80(x96531),x96535),x96533)),x96536)))+~P23(f333(f333(f248(x96531),x96534),f333(f333(f79(x96531),f333(f333(f80(x96531),f333(f333(f22(x96531),x96535),x96532)),x96533)),x96536))) % 183.16/183.19 [9654]~P123(x96541)+P23(f333(f333(f247(x96541),f333(f333(f79(x96541),f333(f333(f80(x96541),x96542),x96543)),x96544)),f333(f333(f79(x96541),f333(f333(f80(x96541),x96545),x96543)),x96546)))+~P23(f333(f333(f247(x96541),x96544),f333(f333(f79(x96541),f333(f333(f80(x96541),f333(f333(f22(x96541),x96545),x96542)),x96543)),x96546))) % 183.16/183.19 [9758]~P123(x97581)+~P23(f333(f333(f248(x97581),f333(f333(f79(x97581),f333(f333(f80(x97581),x97582),x97584)),x97585)),f333(f333(f79(x97581),f333(f333(f80(x97581),x97583),x97584)),x97586)))+P23(f333(f333(f248(x97581),f333(f333(f79(x97581),f333(f333(f80(x97581),f333(f333(f22(x97581),x97582),x97583)),x97584)),x97585)),x97586)) % 183.16/183.19 [9759]~P123(x97591)+~P23(f333(f333(f247(x97591),f333(f333(f79(x97591),f333(f333(f80(x97591),x97592),x97594)),x97595)),f333(f333(f79(x97591),f333(f333(f80(x97591),x97593),x97594)),x97596)))+P23(f333(f333(f247(x97591),f333(f333(f79(x97591),f333(f333(f80(x97591),f333(f333(f22(x97591),x97592),x97593)),x97594)),x97595)),x97596)) % 183.16/183.19 [9808]~P123(x98081)+P23(f333(f333(f248(x98081),f333(f333(f79(x98081),f333(f333(f80(x98081),x98082),x98083)),x98084)),f333(f333(f79(x98081),f333(f333(f80(x98081),x98085),x98083)),x98086)))+~P23(f333(f333(f248(x98081),f333(f333(f79(x98081),f333(f333(f80(x98081),f333(f333(f22(x98081),x98082),x98085)),x98083)),x98084)),x98086)) % 183.16/183.19 [9809]~P123(x98091)+P23(f333(f333(f247(x98091),f333(f333(f79(x98091),f333(f333(f80(x98091),x98092),x98093)),x98094)),f333(f333(f79(x98091),f333(f333(f80(x98091),x98095),x98093)),x98096)))+~P23(f333(f333(f247(x98091),f333(f333(f79(x98091),f333(f333(f80(x98091),f333(f333(f22(x98091),x98092),x98095)),x98093)),x98094)),x98096)) % 183.16/183.19 [9980]~P66(x99802)+~P23(f333(f61(x99801),x99806))+E(f333(f333(f6(x99801,x99802),f333(f333(f18(x99801,x99802,x99802),f333(f333(f18(x99801,x99802,f882(x99802,x99802)),f333(f333(f8(a870,f882(x99802,f882(x99802,x99802)),x99801),f99(x99802)),x99803)),x99804)),x99805)),x99806),f333(f333(f79(x99802),f333(f333(f6(x99801,x99802),x99804),f333(f333(f104(f882(x99801,a870)),x99806),f333(f253(x99801),x99803)))),f333(f333(f6(x99801,x99802),x99805),f333(f333(f104(f882(x99801,a870)),x99806),f333(f78(f882(x99801,a870)),f333(f253(x99801),x99803)))))) % 183.16/183.19 [10039]P23(f333(f333(f335(x100392),x100394),x100396))+P23(f333(f333(f335(x100392),x100395),x100396))+E(f333(f313(x100391,x100392,f333(f333(f7(x100391,x100392,x100392),f333(f333(f7(x100391,x100392,f882(x100392,x100392)),f333(f333(f8(a870,f882(x100392,f882(x100392,x100392)),x100391),f99(x100392)),f333(f333(f7(x100391,f882(x100391,a870),a870),f335(x100391)),x100393))),x100394)),x100395)),x100396),f196(f882(x100391,a870))) % 183.16/183.19 [10040]P23(f333(f333(f335(x100402),x100405),x100406))+~P23(f333(f333(f335(x100402),x100404),x100406))+E(f333(f313(x100401,x100402,f333(f333(f7(x100401,x100402,x100402),f333(f333(f7(x100401,x100402,f882(x100402,x100402)),f333(f333(f8(a870,f882(x100402,f882(x100402,x100402)),x100401),f99(x100402)),f333(f333(f7(x100401,f882(x100401,a870),a870),f335(x100401)),x100403))),x100404)),x100405)),x100406),x100403) % 183.16/183.19 [10041]P23(f333(f333(f335(x100412),x100414),x100416))+~P23(f333(f333(f335(x100412),x100415),x100416))+E(f333(f313(x100411,x100412,f333(f333(f7(x100411,x100412,x100412),f333(f333(f7(x100411,x100412,f882(x100412,x100412)),f333(f333(f8(a870,f882(x100412,f882(x100412,x100412)),x100411),f99(x100412)),f333(f333(f7(x100411,f882(x100411,a870),a870),f335(x100411)),x100413))),x100414)),x100415)),x100416),f333(f78(f882(x100411,a870)),x100413)) % 183.16/183.19 [10042]~P23(f333(f333(f335(x100422),x100424),x100426))+~P23(f333(f333(f335(x100422),x100425),x100426))+E(f333(f313(x100421,x100422,f333(f333(f7(x100421,x100422,x100422),f333(f333(f7(x100421,x100422,f882(x100422,x100422)),f333(f333(f8(a870,f882(x100422,f882(x100422,x100422)),x100421),f99(x100422)),f333(f333(f7(x100421,f882(x100421,a870),a870),f335(x100421)),x100423))),x100424)),x100425)),x100426),f256(f882(x100421,a870))) % 183.16/183.19 [10171]P19(x101711,x101712,f333(f333(f311(f874(x101711)),f333(f333(f333(f91(x101711),f333(x101713,x101714)),f333(a25,x101714)),f333(x101715,x101714))),f196(f882(f874(x101711),a870))))+~P23(f333(f333(f335(a873),x101714),x101716))+~P19(x101711,f333(f333(f113(f882(f874(x101711),a870)),x101712),f333(f312(a873,f874(x101711),f333(f333(f18(a873,f882(x101711,f882(a872,a870)),f874(x101711)),f333(f333(f18(a873,a871,f882(f882(x101711,f882(a872,a870)),f874(x101711))),f333(f333(f8(f882(x101711,f882(a872,a870)),f882(a871,f882(f882(x101711,f882(a872,a870)),f874(x101711))),a873),f91(x101711)),x101713)),a25)),x101715)),x101716)),f333(f312(a873,f874(x101711),f333(f333(f18(a873,f882(x101711,f882(a872,a870)),f874(x101711)),f333(f333(f18(a873,a871,f882(f882(x101711,f882(a872,a870)),f874(x101711))),f333(f333(f8(f882(x101711,f882(a872,a870)),f882(a871,f882(f882(x101711,f882(a872,a870)),f874(x101711))),a873),f91(x101711)),x101713)),f333(f333(f8(f879(a871),a871,a873),f244(a871)),a27))),x101715)),x101716)) % 183.16/183.19 [8618]E(x86181,x86182)+~P51(x86184,x86185,x86183,x86186,x86187)+~E(f333(x86183,x86181),f333(x86183,x86182)) % 183.16/183.19 [6992]E(f333(f242(f879(x69921),x69922,f209(x69921),x69923),f333(x69924,x69925)),f333(f240(x69921),x69926))+~E(f333(x69924,x69925),f333(f240(x69922),x69927))+~E(f333(x69923,x69927),f333(f240(x69921),x69926)) % 183.16/183.19 [8646]~P5(x86466,x86465,x86467,x86464,x86461)+E(f333(f333(x86461,x86462),x86463),x86464)+P23(f333(f61(x86465),x86463)) % 183.16/183.19 [9495]P42(x94951,x94952,x94953,x94954,x94955,f333(f333(x94953,x94956),x94957))+~E(f333(f333(x94953,x94956),x94957),x94954)+~E(x94955,f196(f882(x94951,a870))) % 183.16/183.19 [9675]~P23(f333(x96756,x96753))+~P23(f333(f333(f335(f881(x96752,x96752)),f333(f333(f268(x96752,x96752),x96754),x96755)),f333(x96757,x96753)))+P23(f333(f333(f335(f881(f881(x96751,x96752),f881(x96751,x96752))),f333(f333(f268(f881(x96751,x96752),f881(x96751,x96752)),f333(f333(f268(x96751,x96752),x96753),x96754)),f333(f333(f268(x96751,x96752),x96753),x96755))),f285(x96751,x96752,x96756,x96757))) % 183.16/183.19 [10096]~P42(x100962,x100967,x100963,x100966,x100961,f333(f333(x100963,x100965),x100964))+E(f333(f333(x100963,f714(x100964,x100965,x100961,x100966,x100963,x100967,x100962)),f725(x100964,x100965,x100961,x100966,x100963,x100967,x100962)),f333(f333(x100963,x100965),x100964))+E(x100961,f196(f882(x100962,a870))) % 183.16/183.19 [10097]~P42(x100977,x100976,x100971,x100974,x100975,f333(f333(x100971,x100972),x100973))+E(f333(f333(x100971,f714(x100973,x100972,x100975,x100974,x100971,x100976,x100977)),f725(x100973,x100972,x100975,x100974,x100971,x100976,x100977)),f333(f333(x100971,x100972),x100973))+E(f333(f333(x100971,x100972),x100973),x100974) % 183.16/183.19 [9181]~P34(x91811,x91812,x91813,x91815,x91817)+P34(x91811,x91812,x91813,f333(f333(f152(x91811),x91814),x91815),f333(f333(f152(x91812),x91816),x91817))+~P23(f333(f333(x91813,x91814),x91816)) % 183.16/183.19 [9199]P34(x91991,x91992,x91993,x91994,x91995)+~P34(x91991,x91992,x91993,f333(f333(f135(x91991),x91996),x91994),f333(f333(f135(x91992),x91997),x91995))+~E(f333(f197(f876(x91991)),x91996),f333(f197(f876(x91992)),x91997)) % 183.16/183.19 [9200]P34(x92001,x92002,x92003,x92004,x92005)+~P34(x92001,x92002,x92003,f333(f333(f135(x92001),x92004),x92006),f333(f333(f135(x92002),x92005),x92007))+~E(f333(f197(f876(x92001)),x92004),f333(f197(f876(x92002)),x92005)) % 183.16/183.19 [9405]~P34(x94051,x94052,x94053,x94055,x94057)+~P34(x94051,x94052,x94053,x94054,x94056)+P34(x94051,x94052,x94053,f333(f333(f135(x94051),x94054),x94055),f333(f333(f135(x94052),x94056),x94057)) % 183.16/183.19 [9747]~P23(f333(f66(x97471,x97474,x97475,x97476,x97473),x97477))+P23(f333(f66(x97471,x97474,x97475,x97476,f333(f333(f311(x97471),x97472),x97473)),f333(f333(x97475,x97472),x97477)))+P23(f333(f333(f335(x97471),x97472),x97473)) % 183.16/183.19 [9878]~P20(x98783,x98781,x98784,f256(f882(x98783,a870)))+E(f333(f333(f180(x98781,x98782),f333(f333(f155(f881(x98783,x98782),f881(x98781,x98782)),f333(f272(x98783,x98782,f881(x98781,x98782)),f333(f333(f8(x98781,f882(x98782,f881(x98781,x98782)),x98783),f268(x98781,x98782)),x98784))),x98785)),f333(x98784,x98786)),f333(f240(x98782),x98787))+~E(f333(f333(f180(x98783,x98782),x98785),x98786),f333(f240(x98782),x98787)) % 183.16/183.19 [10117]~P42(x101172,x101177,x101176,x101175,x101171,f333(f333(x101176,x101174),x101173))+E(x101171,f196(f882(x101172,a870)))+P23(f333(f333(f335(x101172),f714(x101173,x101174,x101171,x101175,x101176,x101177,x101172)),x101171)) % 183.16/183.19 [10118]~P42(x101185,x101187,x101181,x101184,x101186,f333(f333(x101181,x101182),x101183))+E(f333(f333(x101181,x101182),x101183),x101184)+P23(f333(f333(f335(x101185),f714(x101183,x101182,x101186,x101184,x101181,x101187,x101185)),x101186)) % 183.16/183.19 [6779]~E(x67795,x67797)+~E(x67796,x67794)+E(f333(f333(f333(f333(f71(x67791,f879(x67792)),x67793),x67794),f333(f240(x67792),x67795)),x67796),f333(f240(x67792),x67797)) % 183.16/183.19 [6908]E(x69081,x69082)+~E(f333(x69085,x69081),f333(f240(x69084),x69087))+E(f333(f333(f333(f333(f71(x69083,f879(x69084)),x69085),x69082),f333(f240(x69084),x69086)),x69081),f333(f240(x69084),x69087)) % 183.16/183.19 [7628]E(x76281,x76282)+~E(x76283,x76284)+~E(f333(f333(f333(f333(f71(x76285,f879(x76286)),x76287),x76284),f333(f240(x76286),x76281)),x76283),f333(f240(x76286),x76282)) % 183.16/183.19 [7695]E(x76951,x76952)+E(f333(x76953,x76954),f333(f240(x76955),x76951))+~E(f333(f333(f333(f333(f71(x76956,f879(x76955)),x76953),x76957),f333(f240(x76955),x76952)),x76954),f333(f240(x76955),x76951)) % 183.16/183.19 [7696]E(x76961,x76962)+E(f333(x76963,x76961),f333(f240(x76964),x76965))+~E(f333(f333(f333(f333(f71(x76966,f879(x76964)),x76963),x76962),f333(f240(x76964),x76967)),x76961),f333(f240(x76964),x76965)) % 183.16/183.19 [8865]~P16(x88654,x88655,x88656,x88657,x88651)+~P23(f333(f61(x88655),x88653))+E(f333(f333(x88651,x88652),x88653),f333(f333(f333(f65(x88654,x88655,x88656),x88652),x88657),x88653)) % 183.16/183.19 [8866]~P5(x88664,x88665,x88666,x88667,x88661)+~P23(f333(f61(x88665),x88663))+E(f333(f333(x88661,x88662),x88663),f333(f333(f333(f65(x88664,x88665,x88666),x88662),x88667),x88663)) % 183.16/183.19 [9461]~P19(x94611,x94612,f333(f333(f311(f874(x94611)),f333(f333(f333(f91(x94611),x94613),x94614),x94617)),f196(f882(f874(x94611),a870))))+P19(x94611,x94612,f333(f333(f311(f874(x94611)),f333(f333(f333(f91(x94611),x94613),f32(x94614,x94615)),x94616)),f196(f882(f874(x94611),a870))))+~P19(x94611,x94612,f333(f333(f311(f874(x94611)),f333(f333(f333(f91(x94611),x94617),x94615),x94616)),f196(f882(f874(x94611),a870)))) % 183.16/183.19 [9648]~P18(x96483,x96484,x96485,x96487,x96486,x96481)+~P23(f333(f61(x96484),x96482))+E(f333(x96481,x96482),f333(f333(f333(f65(x96483,x96484,x96485),x96486),x96487),x96482)) % 183.16/183.19 [9803]P42(x98031,x98032,x98033,x98034,x98035,f333(f333(x98033,x98036),x98037))+~P42(x98031,x98032,x98033,x98034,f333(f333(f22(f882(x98031,a870)),x98035),f333(f333(f311(x98031),x98036),f196(f882(x98031,a870)))),x98037)+~P23(f333(f333(f335(x98031),x98036),x98035)) % 183.16/183.19 [10071]~P19(x100711,x100712,f333(f333(f311(f874(x100711)),f333(f333(f333(f91(x100711),f94(x100711,x100713,x100714)),x100715),x100717)),f196(f882(f874(x100711),a870))))+P19(x100711,x100712,f333(f333(f311(f874(x100711)),f333(f333(f333(f91(x100711),x100713),f29(x100714,x100715,x100716)),x100717)),f196(f882(f874(x100711),a870))))+~P19(x100711,x100712,f333(f333(f311(f874(x100711)),f333(f333(f333(f91(x100711),f94(x100711,x100713,f333(f72(a870,a870,a872,a328),x100714))),x100716),x100717)),f196(f882(f874(x100711),a870)))) % 183.16/183.19 [10142]~P42(x101422,x101423,x101424,x101425,x101421,f333(f333(x101424,x101427),x101426))+P42(x101422,x101423,x101424,x101425,f333(f333(f22(f882(x101422,a870)),x101421),f333(f333(f311(x101422),f714(x101426,x101427,x101421,x101425,x101424,x101423,x101422)),f196(f882(x101422,a870)))),f725(x101426,x101427,x101421,x101425,x101424,x101423,x101422))+E(x101421,f196(f882(x101422,a870))) % 183.16/183.19 [10143]~P42(x101435,x101436,x101431,x101434,x101437,f333(f333(x101431,x101432),x101433))+P42(x101435,x101436,x101431,x101434,f333(f333(f22(f882(x101435,a870)),x101437),f333(f333(f311(x101435),f714(x101433,x101432,x101437,x101434,x101431,x101436,x101435)),f196(f882(x101435,a870)))),f725(x101433,x101432,x101437,x101434,x101431,x101436,x101435))+E(f333(f333(x101431,x101432),x101433),x101434) % 183.16/183.19 [9188]E(f189(x91881,x91882,x91883,x91884,f333(f333(f160(x91882,x91885),x91886),x91887)),f189(x91881,x91882,x91883,x91884,x91885))+~P23(f333(f333(f248(a875),x91886),f333(f197(f876(x91882)),x91885)))+~P23(f333(f333(f247(a875),f333(f197(f876(x91881)),x91884)),x91886)) % 183.16/183.19 [9483]P23(f333(f333(f247(f882(f881(x94831,x94832),a870)),f333(f333(f290(x94831,x94833,x94832),x94834),x94835)),f333(f333(f290(x94831,x94833,x94832),x94836),x94837)))+~P23(f333(f333(f247(f882(f881(x94833,x94832),a870)),x94835),x94837))+~P23(f333(f333(f247(f882(f881(x94831,x94833),a870)),x94834),x94836)) % 183.16/183.19 [9814]~P23(f333(f333(f335(x98141),x98146),x98145))+P23(f333(f66(x98141,x98142,x98143,x98144,x98145),f333(f333(x98143,x98146),x98147)))+~P23(f333(f66(x98141,x98142,x98143,x98144,f333(f333(f22(f882(x98141,a870)),x98145),f333(f333(f311(x98141),x98146),f196(f882(x98141,a870))))),x98147)) % 183.16/183.19 [10202]~P134(x102021)+~P20(f881(x102022,x102023),x102021,f333(f272(x102022,x102023,x102021),f333(f333(f7(x102022,f882(x102023,x102021),f882(x102023,x102021)),f333(f333(f8(f882(x102021,x102021),f882(f882(x102023,x102021),f882(x102023,x102021)),x102022),f8(x102021,x102021,x102023)),f333(f333(f8(x102021,f882(x102021,x102021),x102022),f80(x102021)),x102024))),x102025)),f333(f333(f270(x102022,x102023),x102026),f333(f16(f882(x102023,a870),x102022),x102027)))+E(f333(f333(f6(x102021,x102021),f33(x102021)),f333(f253(x102021),f333(f333(f8(f882(x102022,a870),a870,x102021),f86(x102022)),f333(f333(f8(f882(x102022,f882(x102023,a870)),f882(x102022,a870),x102021),f333(f8(f882(x102023,a870),a870,x102022),f86(x102023))),f333(f333(f7(x102021,f882(x102022,f882(x102023,a870)),f882(x102022,f882(x102023,a870))),f333(f333(f8(f882(x102022,f882(f882(x102023,a870),f882(x102023,a870))),f882(f882(x102022,f882(x102023,a870)),f882(x102022,f882(x102023,a870))),x102021),f18(x102022,f882(x102023,a870),f882(x102023,a870))),f333(f333(f8(f882(x102022,f882(x102023,f882(a870,a870))),f882(x102022,f882(f882(x102023,a870),f882(x102023,a870))),x102021),f333(f8(f882(x102023,f882(a870,a870)),f882(f882(x102023,a870),f882(x102023,a870)),x102022),f18(x102023,a870,a870))),f333(f333(f8(f882(x102022,f882(x102023,a870)),f882(x102022,f882(x102023,f882(a870,a870))),x102021),f333(f8(f882(x102023,a870),f882(x102023,f882(a870,a870)),x102022),f333(f8(a870,f882(a870,a870),x102023),a331))),f333(f333(f7(x102021,f882(x102022,f882(x102023,x102021)),f882(x102022,f882(x102023,a870))),f333(f333(f8(f882(f882(x102023,x102021),f882(x102023,a870)),f882(f882(x102022,f882(x102023,x102021)),f882(x102022,f882(x102023,a870))),x102021),f8(f882(x102023,x102021),f882(x102023,a870),x102022)),f333(f333(f8(f882(x102021,a870),f882(f882(x102023,x102021),f882(x102023,a870)),x102021),f8(x102021,a870,x102023)),a330))),f333(f333(f7(x102022,f882(x102023,x102021),f882(x102023,x102021)),f333(f333(f8(f882(x102021,x102021),f882(f882(x102023,x102021),f882(x102023,x102021)),x102022),f8(x102021,x102021,x102023)),f333(f333(f8(x102021,f882(x102021,x102021),x102022),f80(x102021)),x102024))),x102025)))))),f333(f333(f7(x102022,f882(x102023,a870),f882(x102023,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x102023,a870),f882(x102023,a870)),x102022),f8(a870,a870,x102023)),f333(f333(f8(a870,f882(a870,a870),x102022),a331),f333(f333(f7(x102022,f882(x102022,a870),a870),f335(x102022)),x102026)))),f333(f333(f7(x102023,f882(x102023,a870),a870),f335(x102023)),x102027))))))),f333(f333(f80(x102021),f333(f333(f6(x102022,x102021),x102024),x102026)),f333(f333(f6(x102023,x102021),x102025),x102027))) % 183.16/183.19 [9646]~P23(f333(f333(x96464,x96466),x96468))+~P23(f333(f333(x96465,x96468),x96467))+P23(f333(f333(f269(x96461,x96462,x96463,x96464,x96465),x96466),x96467)) % 183.16/183.19 [9249]~P14(x92498,x92491,x92493,x92495)+~P23(f333(f61(x92498),x92496))+E(f333(f72(x92491,x92491,x92492,f333(x92493,x92494)),f333(f72(x92491,x92491,x92492,f333(x92495,x92496)),x92497)),f333(f72(x92491,x92491,x92492,f333(x92495,x92496)),f333(f72(x92491,x92491,x92492,f333(x92493,x92494)),x92497))) % 183.16/183.19 [9636]~P17(x96367,x96362,x96365,x96368,x96366,x96361)+~P23(f333(f61(x96362),x96364))+E(f333(x96361,f333(f333(f311(x96362),x96363),x96364)),f333(f333(x96365,f333(x96366,x96363)),f333(x96361,x96364))) % 183.16/183.19 [9756]~P20(x97562,x97564,x97566,x97568)+~P20(x97561,x97563,x97565,x97567)+P20(f881(x97561,x97562),f881(x97563,x97564),f273(x97561,x97563,x97562,x97564,x97565,x97566),f333(f333(f270(x97561,x97562),x97567),f333(f16(f882(x97562,a870),x97561),x97568))) % 183.16/183.19 [9429]P23(f333(f333(f335(f881(x94291,x94292)),f333(f333(f268(x94291,x94292),x94293),x94294)),f333(f333(f290(x94291,x94295,x94292),x94296),x94297)))+~P23(f333(f333(f335(f881(x94291,x94295)),f333(f333(f268(x94291,x94295),x94293),x94298)),x94296))+~P23(f333(f333(f335(f881(x94295,x94292)),f333(f333(f268(x94295,x94292),x94298),x94294)),x94297)) % 183.16/183.19 [9617]~P23(f333(f333(f247(f882(f881(x96173,x96172),a870)),x96175),f333(f333(f270(x96173,x96172),x96178),f333(f16(f882(x96172,a870),x96173),x96177))))+~P23(f333(f333(f247(f882(f881(x96171,x96173),a870)),x96174),f333(f333(f270(x96171,x96173),x96176),f333(f16(f882(x96173,a870),x96171),x96178))))+P23(f333(f333(f247(f882(f881(x96171,x96172),a870)),f333(f333(f290(x96171,x96173,x96172),x96174),x96175)),f333(f333(f270(x96171,x96172),x96176),f333(f16(f882(x96172,a870),x96171),x96177)))) % 183.16/183.19 [9670]~E(x96703,x96705)+P23(f333(f333(f335(f881(f881(x96701,x96702),f881(x96701,x96702))),f333(f333(f268(f881(x96701,x96702),f881(x96701,x96702)),f333(f333(f268(x96701,x96702),x96703),x96704)),f333(f333(f268(x96701,x96702),x96705),x96706))),f326(x96701,x96702,x96707,x96708)))+~P23(f333(f333(f335(f881(x96702,x96702)),f333(f333(f268(x96702,x96702),x96704),x96706)),x96708)) % 183.16/183.19 [9779]E(x97791,x97792)+~P23(f333(f333(f335(f881(f881(x97793,x97795),f881(x97793,x97795))),f333(f333(f268(f881(x97793,x97795),f881(x97793,x97795)),f333(f333(f268(x97793,x97795),x97791),x97796)),f333(f333(f268(x97793,x97795),x97792),x97797))),f326(x97793,x97795,x97794,x97798)))+P23(f333(f333(f335(f881(x97793,x97793)),f333(f333(f268(x97793,x97793),x97791),x97792)),x97794)) % 183.16/183.19 [9796]~P23(f333(f333(f335(f881(f881(x97961,x97965),f881(x97961,x97965))),f333(f333(f268(f881(x97961,x97965),f881(x97961,x97965)),f333(f333(f268(x97961,x97965),x97962),x97966)),f333(f333(f268(x97961,x97965),x97963),x97967))),f326(x97961,x97965,x97964,x97968)))+P23(f333(f333(f335(f881(x97961,x97961)),f333(f333(f268(x97961,x97961),x97962),x97963)),x97964))+P23(f333(f333(f335(f881(x97965,x97965)),f333(f333(f268(x97965,x97965),x97966),x97967)),x97968)) % 183.16/183.19 [9700]~P18(x97007,x97005,x97001,x97008,x97002,x97004)+~P23(f333(f61(x97005),x97006))+E(f333(f333(x97001,f333(x97002,x97003)),f333(x97004,f333(f333(f22(f882(x97005,a870)),x97006),f333(f333(f311(x97005),x97003),f196(f882(x97005,a870)))))),f333(x97004,f333(f333(f311(x97005),x97003),x97006))) % 183.16/183.19 [9207]~P23(f333(f333(f333(x92075,x92078),x92076),x92077))+~P23(f333(f333(f335(x92071),x92078),x92074))+P23(f333(f333(f333(f333(f41(x92071,f882(x92072,f882(x92073,a870))),x92074),x92075),x92076),x92077)) % 183.16/183.19 [9416]P23(f333(f333(f333(x94161,x94162),x94163),x94164))+~P23(f333(f333(f335(x94165),x94162),x94166))+~P23(f333(f333(f333(f333(f42(x94165,f882(x94167,f882(x94168,a870))),x94166),x94161),x94163),x94164)) % 183.16/183.19 [9610]~P16(x96103,x96102,x96104,x96108,x96101)+~P23(f333(f61(x96102),x96107))+E(f333(f333(x96101,f333(f333(f18(x96102,x96103,x96103),f333(f333(f8(x96103,f882(x96103,x96103),x96102),x96104),x96105)),x96106)),x96107),f333(f333(x96104,f333(f333(x96101,x96105),x96107)),f333(f333(x96101,x96106),x96107))) % 183.16/183.19 [9886]~E(f333(f312(x98862,x98864,x98866),x98868),x988610)+~E(f333(f312(x98861,x98863,x98865),x98867),x98869)+E(f333(f312(f881(x98861,x98862),f881(x98863,x98864),f273(x98861,x98863,x98862,x98864,x98865,x98866)),f333(f333(f270(x98861,x98862),x98867),f333(f16(f882(x98862,a870),x98861),x98868))),f333(f333(f270(x98863,x98864),x98869),f333(f16(f882(x98864,a870),x98863),x988610))) % 183.16/183.19 [4843]~P106(x48432)+~P28(x48432,x48431)+P28(x48432,f117(x48432,x48431))+E(x48431,f116(x48432)) % 183.16/183.19 [4844]~P106(x48442)+~P28(x48442,x48441)+P28(x48442,f742(x48441,x48442))+E(x48441,f116(x48442)) % 183.16/183.19 [5075]~P26(x50752)+E(f10(x50752,x50751),f40(x50752,x50751))+E(x50751,f196(f882(x50752,a870)))+~P23(f333(f61(x50752),x50751)) % 183.16/183.19 [5076]~P26(x50762)+E(f13(x50762,x50761),f39(x50762,x50761))+E(x50761,f196(f882(x50762,a870)))+~P23(f333(f61(x50762),x50761)) % 183.16/183.19 [5229]~P106(x52292)+~P28(x52292,x52291)+E(x52291,f116(x52292))+E(f333(f333(f152(x52292),f761(x52291,x52292)),f742(x52291,x52292)),x52291) % 183.16/183.19 [6023]~P62(x60232)+E(x60231,f196(f882(x60232,a870)))+P23(f333(f333(f247(x60232),f10(x60232,x60231)),f13(x60232,x60231)))+~P23(f333(f61(x60232),x60231)) % 183.16/183.19 [6035]~P38(x60352)+~P38(x60351)+E(x60351,x60352)+~E(f333(f312(a1,a875,a107),x60351),f333(f312(a1,a875,a107),x60352)) % 183.16/183.19 [9065]~P114(x90651)+~P23(f333(f333(f335(x90651),x90652),f112(x90651)))+P23(f333(f333(f248(x90651),f333(f333(f79(x90651),f333(f333(f79(x90651),f77(x90651)),x90652)),x90652)),f2(x90651)))+~P23(f333(f333(f248(x90651),x90652),f2(x90651))) % 183.16/183.19 [9304]~P114(x93041)+~P23(f333(f333(f335(x93041),x93042),f112(x93041)))+~P23(f333(f333(f248(x93041),f333(f333(f79(x93041),f333(f333(f79(x93041),f77(x93041)),x93042)),x93042)),f2(x93041)))+P23(f333(f333(f248(x93041),x93042),f2(x93041))) % 183.16/183.19 [4899]~P134(x48992)+~P111(x48992)+E(x48991,f2(a875))+E(f333(f333(f258(x48992),f2(x48992)),x48991),f2(x48992)) % 183.16/183.19 [4902]~P134(x49021)+~P111(x49021)+~E(x49022,f2(a875))+E(f333(f333(f258(x49021),f2(x49021)),x49022),f77(x49021)) % 183.16/183.19 [5062]~P137(x50622)+E(x50621,f77(x50622))+E(x50621,f333(f78(x50622),f77(x50622)))+~E(f333(f333(f80(x50622),x50621),x50621),f77(x50622)) % 183.16/183.19 [5312]~P87(x53122)+E(x53121,f2(x53122))+E(f81(x53122,x53121),f333(f78(x53122),f77(x53122)))+P23(f333(f333(f248(x53122),f2(x53122)),x53121)) % 183.16/183.19 [5547]~P87(x55472)+E(f81(x55472,x55471),f77(x55472))+E(x55471,f2(x55472))+~P23(f333(f333(f248(x55472),f2(x55472)),x55471)) % 183.16/183.19 [5556]E(x55561,x55562)+~E(f333(f106(a875),x55561),f333(f106(a875),x55562))+P23(f333(a201,f333(f106(a1),x55562)))+P23(f333(a201,f333(f106(a1),x55561))) % 183.16/183.19 [5606]~P89(x56061)+~E(x56062,f2(x56061))+E(f333(f333(f79(x56061),x56062),x56062),f2(x56061))+~P23(f333(f333(f335(x56061),x56062),f112(x56061))) % 183.16/183.19 [5644]E(x56441,f2(a1))+~E(f333(f333(f38(a1),x56442),x56441),f2(a1))+P23(f333(f333(f248(a1),x56441),x56442))+P23(f333(f333(f248(a1),x56442),x56441)) % 183.16/183.19 [5675]E(x56751,f2(a1))+~E(f333(f333(f38(a1),x56752),x56751),f2(a1))+P23(f333(f333(f247(a1),x56752),f2(a1)))+P23(f333(f333(f248(a1),x56752),x56751)) % 183.16/183.19 [5709]E(x57091,f2(a1))+~E(f333(f333(f38(a1),x57092),x57091),f2(a1))+P23(f333(f333(f247(a1),f2(a1)),x57092))+P23(f333(f333(f248(a1),x57091),x57092)) % 183.16/183.19 [5743]~P89(x57432)+E(x57431,f2(x57432))+~E(f333(f333(f79(x57432),x57431),x57431),f2(x57432))+~P23(f333(f333(f335(x57432),x57431),f112(x57432))) % 183.16/183.19 [5803]E(f333(f106(a875),x58031),f333(f106(a875),x58032))+~E(f333(f106(a1),x58032),f2(a1))+P23(f333(a201,f333(f106(a1),x58032)))+~P23(f333(a201,f333(f106(a1),x58031))) % 183.16/183.19 [5830]~E(f333(f106(a875),x58302),f333(f106(a875),x58301))+E(f333(f106(a1),x58301),f2(a1))+P23(f333(a201,f333(f106(a1),x58301)))+~P23(f333(a201,f333(f106(a1),x58302))) % 183.16/183.19 [5839]~P106(x58392)+E(x58391,f196(f882(x58392,a870)))+~P23(f333(f61(x58392),x58391))+P23(f333(f333(f335(x58392),f14(x58392,x58391)),x58391)) % 183.16/183.19 [5840]~P106(x58402)+E(x58401,f196(f882(x58402,a870)))+~P23(f333(f61(x58402),x58401))+P23(f333(f333(f335(x58402),f15(x58402,x58401)),x58401)) % 183.16/183.19 [6003]~P114(x60031)+~P90(x60031)+P23(f333(f333(f248(x60031),f2(x60031)),f333(f106(x60031),x60032)))+~P23(f333(f333(f248(a1),a82),x60032)) % 183.16/183.19 [6004]~P114(x60041)+~P90(x60041)+P23(f333(f333(f247(x60041),f2(x60041)),f333(f106(x60041),x60042)))+~P23(f333(f333(f247(a1),a82),x60042)) % 183.16/183.19 [6022]~P114(x60221)+~P90(x60221)+E(f333(f74(x60221),f333(f106(x60221),x60222)),f333(f106(x60221),x60222))+P23(f333(f333(f248(x60221),f333(f106(x60221),x60222)),f2(x60221))) % 183.16/183.19 [6062]E(x60621,x60622)+~E(f333(a107,x60621),f333(a107,x60622))+~P23(f333(f333(f247(a1),f2(a1)),x60622))+~P23(f333(f333(f247(a1),f2(a1)),x60621)) % 183.16/183.19 [6253]~P90(x62532)+~P114(x62532)+~P23(f333(f333(f248(x62532),f2(x62532)),f333(f106(x62532),x62531)))+P23(f333(f333(f248(a1),a82),x62531)) % 183.16/183.19 [6254]~P90(x62542)+~P114(x62542)+~P23(f333(f333(f247(x62542),f2(x62542)),f333(f106(x62542),x62541)))+P23(f333(f333(f247(a1),a82),x62541)) % 183.16/183.19 [6259]~P114(x62591)+~P90(x62591)+P23(f333(f333(f248(x62591),f333(f106(x62591),x62592)),f2(x62591)))+~P23(f333(f333(f248(a1),x62592),a82)) % 183.16/183.19 [6260]~P114(x62601)+~P90(x62601)+P23(f333(f333(f247(x62601),f333(f106(x62601),x62602)),f2(x62601)))+~P23(f333(f333(f247(a1),x62602),a82)) % 183.16/183.19 [6567]~P90(x65672)+~P114(x65672)+~P23(f333(f333(f248(x65672),f333(f106(x65672),x65671)),f2(x65672)))+P23(f333(f333(f248(a1),x65671),a82)) % 183.16/183.19 [6568]~P90(x65682)+~P114(x65682)+~P23(f333(f333(f247(x65682),f333(f106(x65682),x65681)),f2(x65682)))+P23(f333(f333(f247(a1),x65681),a82)) % 183.16/183.19 [6659]~P114(x66591)+~P90(x66591)+E(f333(f74(x66591),f333(f106(x66591),x66592)),f333(f78(x66591),f333(f106(x66591),x66592)))+~P23(f333(f333(f248(x66591),f333(f106(x66591),x66592)),f2(x66591))) % 183.16/183.19 [6677]E(f333(f106(a875),x66771),f333(f106(a875),x66772))+~E(f333(f106(a1),x66772),f2(a1))+~P23(f333(f333(f247(a1),f333(f106(a1),x66771)),f2(a1)))+~P23(f333(a201,f333(f106(a1),x66771))) % 183.16/183.19 [7559]~P106(x75592)+E(x75591,f196(f882(x75592,a870)))+~P23(f333(f61(x75592),x75591))+P23(f333(f333(f247(x75592),f11(x75592,f245(x75592),x75591)),f12(x75592,f246(x75592),x75591))) % 183.16/183.19 [7881]~P38(x78812)+~P27(x78811)+P23(f333(f333(f335(a1),x78811),x78812))+~P23(f333(f333(f335(a875),f333(a107,x78811)),f333(f312(a1,a875,a107),x78812))) % 183.16/183.19 [8159]~P57(x81592)+P23(f333(x81591,f209(x81592)))+~P23(f333(f57(f879(x81592)),x81591))+P23(f333(f57(x81592),f333(f333(f8(f879(x81592),a870,x81592),x81591),f240(x81592)))) % 183.16/183.19 [8626]~P57(x86261)+~P23(f333(x86262,f209(x86261)))+P23(f333(f58(f879(x86261)),x86262))+~P23(f333(f58(x86261),f333(f333(f8(f879(x86261),a870,x86261),x86262),f240(x86261)))) % 183.16/183.19 [5836]~P138(x58362)+E(x58361,f2(a1))+E(f333(f78(x58362),f333(f105(x58362),f333(f78(a1),x58361))),f333(f105(x58362),x58361))+~P23(f333(f333(f248(a1),x58361),f2(a1))) % 183.16/183.19 [5907]~P89(x59071)+~P90(x59071)+~P30(x59071,f333(f106(x59071),x59072))+P30(x59071,f333(f106(x59071),f333(f333(f79(a1),x59072),x59072))) % 183.16/183.19 [6241]~P74(x62412)+E(x62411,f196(f882(x62412,a870)))+E(f15(x62412,f333(f312(x62412,x62412,f78(x62412)),x62411)),f333(f78(x62412),f14(x62412,x62411)))+~P23(f333(f61(x62412),x62411)) % 183.16/183.19 [6242]~P74(x62422)+E(x62421,f196(f882(x62422,a870)))+E(f14(x62422,f333(f312(x62422,x62422,f78(x62422)),x62421)),f333(f78(x62422),f15(x62422,x62421)))+~P23(f333(f61(x62422),x62421)) % 183.16/183.19 [6274]~P89(x62741)+~P90(x62741)+P30(x62741,f333(f106(x62741),x62742))+~P30(x62741,f333(f106(x62741),f333(f333(f79(a1),x62742),x62742))) % 183.16/183.19 [6363]E(x63631,f2(a1))+E(f333(a50,f49(f333(f78(a1),x63631),f333(f78(a1),x63632))),f45(x63631,x63632))+P23(f333(f333(f247(a1),f2(a1)),x63632))+~P23(f333(f333(f247(a1),f2(a1)),x63631)) % 183.16/183.19 [8669]~P38(x86692)+~P38(x86691)+P23(f333(f333(f248(f882(a875,a870)),f333(f312(a1,a875,a107),x86691)),f333(f312(a1,a875,a107),x86692)))+~P23(f333(f333(f248(f882(a1,a870)),x86691),x86692)) % 183.16/183.19 [8883]~E(f764(x88832,x88831),f765(x88832,x88831))+~P23(f333(f138(x88831),f766(x88832,x88831)))+~P23(f333(f138(f876(x88831)),x88832))+P23(f333(f138(x88831),f333(f143(f876(x88831),f876(x88831),f135(x88831),f116(x88831)),x88832))) % 183.16/183.19 [8983]~P38(x89832)+~P38(x89831)+~P23(f333(f333(f248(f882(a875,a870)),f333(f312(a1,a875,a107),x89831)),f333(f312(a1,a875,a107),x89832)))+P23(f333(f333(f248(f882(a1,a870)),x89831),x89832)) % 183.16/183.19 [8984]~P38(x89842)+~P38(x89841)+~P23(f333(f333(f247(f882(a875,a870)),f333(f312(a1,a875,a107),x89841)),f333(f312(a1,a875,a107),x89842)))+P23(f333(f333(f247(f882(a1,a870)),x89841),x89842)) % 183.16/183.19 [8990]~E(f764(x89902,x89901),f765(x89902,x89901))+~P23(f333(f138(f876(x89901)),x89902))+P23(f333(f138(x89901),f333(f143(f876(x89901),f876(x89901),f135(x89901),f116(x89901)),x89902)))+P23(f333(f333(f335(f876(x89901)),f766(x89902,x89901)),f333(f174(f876(x89901)),x89902))) % 183.16/183.19 [9032]~P23(f333(f138(x90321),f766(x90322,x90321)))+~P23(f333(f138(f876(x90321)),x90322))+P23(f333(f138(x90321),f333(f143(f876(x90321),f876(x90321),f135(x90321),f116(x90321)),x90322)))+P23(f333(f333(f335(f876(x90321)),f765(x90322,x90321)),f333(f174(f876(x90321)),x90322))) % 183.16/183.19 [9033]~P23(f333(f138(x90331),f766(x90332,x90331)))+~P23(f333(f138(f876(x90331)),x90332))+P23(f333(f138(x90331),f333(f143(f876(x90331),f876(x90331),f135(x90331),f116(x90331)),x90332)))+P23(f333(f333(f335(f876(x90331)),f764(x90332,x90331)),f333(f174(f876(x90331)),x90332))) % 183.16/183.19 [9108]~P23(f333(f138(f876(x91081)),x91082))+P23(f333(f138(x91081),f333(f143(f876(x91081),f876(x91081),f135(x91081),f116(x91081)),x91082)))+P23(f333(f333(f335(f876(x91081)),f765(x91082,x91081)),f333(f174(f876(x91081)),x91082)))+P23(f333(f333(f335(f876(x91081)),f766(x91082,x91081)),f333(f174(f876(x91081)),x91082))) % 183.16/183.19 [9109]~P23(f333(f138(f876(x91091)),x91092))+P23(f333(f138(x91091),f333(f143(f876(x91091),f876(x91091),f135(x91091),f116(x91091)),x91092)))+P23(f333(f333(f335(f876(x91091)),f764(x91092,x91091)),f333(f174(f876(x91091)),x91092)))+P23(f333(f333(f335(f876(x91091)),f766(x91092,x91091)),f333(f174(f876(x91091)),x91092))) % 183.16/183.19 [9122]~E(f333(f333(f104(f882(x91221,a870)),f333(f174(x91221),f765(x91222,x91221))),f333(f174(x91221),f764(x91222,x91221))),f196(f882(x91221,a870)))+~P23(f333(f138(x91221),f766(x91222,x91221)))+~P23(f333(f138(f876(x91221)),x91222))+P23(f333(f138(x91221),f333(f143(f876(x91221),f876(x91221),f135(x91221),f116(x91221)),x91222))) % 183.16/183.19 [9184]~E(f333(f333(f104(f882(x91841,a870)),f333(f174(x91841),f765(x91842,x91841))),f333(f174(x91841),f764(x91842,x91841))),f196(f882(x91841,a870)))+~P23(f333(f138(f876(x91841)),x91842))+P23(f333(f138(x91841),f333(f143(f876(x91841),f876(x91841),f135(x91841),f116(x91841)),x91842)))+P23(f333(f333(f335(f876(x91841)),f766(x91842,x91841)),f333(f174(f876(x91841)),x91842))) % 183.16/183.19 [9453]E(x94531,f2(a1))+E(x94532,f2(a1))+E(f333(f333(f85(a1,f881(a1,a1)),f333(f333(a229,x94532),x94531)),f333(f333(f18(a1,a1,f881(a1,a1)),f333(f333(f8(a1,f882(a1,f881(a1,a1)),a1),f268(a1,a1)),f333(f38(a1),x94532))),f333(f38(a1),x94531))),f227(x94532,x94531))+P23(f333(f333(f248(a1),x94531),f2(a1))) % 183.16/183.19 [8220]~P90(x82202)+~P114(x82202)+~P23(f333(f333(f248(x82202),f333(f106(x82202),x82201)),f77(x82202)))+P23(f333(f333(f248(a1),x82201),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))) % 183.16/183.19 [8221]~P90(x82212)+~P114(x82212)+~P23(f333(f333(f247(x82212),f333(f106(x82212),x82211)),f77(x82212)))+P23(f333(f333(f247(a1),x82211),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))) % 183.16/183.19 [8499]~P114(x84991)+~P90(x84991)+P23(f333(f333(f248(x84991),f333(f106(x84991),x84992)),f77(x84991)))+~P23(f333(f333(f248(a1),x84992),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))) % 183.16/183.19 [8500]~P114(x85001)+~P90(x85001)+P23(f333(f333(f247(x85001),f333(f106(x85001),x85002)),f77(x85001)))+~P23(f333(f333(f247(a1),x85002),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))) % 183.16/183.19 [8695]~P90(x86952)+~P114(x86952)+~P23(f333(f333(f248(x86952),f77(x86952)),f333(f106(x86952),x86951)))+P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),x86951)) % 183.16/183.19 [8696]~P90(x86962)+~P114(x86962)+~P23(f333(f333(f247(x86962),f77(x86962)),f333(f106(x86962),x86961)))+P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),x86961)) % 183.16/183.19 [9071]~P114(x90711)+~P90(x90711)+P23(f333(f333(f248(x90711),f77(x90711)),f333(f106(x90711),x90712)))+~P23(f333(f333(f248(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),x90712)) % 183.16/183.19 [9072]~P114(x90721)+~P90(x90721)+P23(f333(f333(f247(x90721),f77(x90721)),f333(f106(x90721),x90722)))+~P23(f333(f333(f247(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),x90722)) % 183.16/183.19 [9582]~P137(x95822)+E(x95821,f77(x95822))+E(x95821,f333(f78(x95822),f77(x95822)))+~E(f333(f333(f258(x95822),x95821),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f77(x95822)) % 183.16/183.19 [9854]~P60(x98541)+~P90(x98541)+~P23(f333(f333(f248(x98541),f2(x98541)),x98542))+P23(f333(f333(f248(x98541),f2(x98541)),f333(f333(f291(x98541),x98542),f333(f106(x98541),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.19 [9916]~P60(x99161)+~P90(x99161)+P23(f333(f333(f248(x99161),f2(x99161)),x99162))+~P23(f333(f333(f248(x99161),f2(x99161)),f333(f333(f291(x99161),x99162),f333(f106(x99161),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.19 [10170]~P138(x101702)+E(x101701,f2(a1))+P23(f333(f333(f248(a1),x101701),f2(a1)))+E(f333(f333(f272(a1,a1,x101702),f333(f333(f7(a1,f882(a1,f882(x101702,x101702)),f882(a1,x101702)),f333(f333(f8(f882(f882(x101702,x101702),x101702),f882(f882(a1,f882(x101702,x101702)),f882(a1,x101702)),a1),f8(f882(x101702,x101702),x101702,a1)),f333(f333(f8(x101702,f882(f882(x101702,x101702),x101702),a1),f85(x101702,x101702)),f105(x101702)))),f333(f333(f7(a1,f882(x101702,x101702),f882(x101702,x101702)),f333(f333(f8(f882(x101702,f882(x101702,x101702)),f882(f882(x101702,x101702),f882(x101702,x101702)),a1),f18(x101702,x101702,x101702)),f333(f333(f7(a1,f882(x101702,x101702),f882(x101702,f882(x101702,x101702))),f333(f333(f8(f882(x101702,f882(x101702,x101702)),f882(f882(x101702,x101702),f882(x101702,f882(x101702,x101702))),a1),f8(x101702,f882(x101702,x101702),x101702)),f333(f333(f8(a870,f882(x101702,f882(x101702,x101702)),a1),f99(x101702)),f333(f333(f7(a1,a1,a870),a330),f2(a1))))),f333(f333(f18(x101702,x101702,x101702),f79(x101702)),f5(x101702))))),f333(f333(f7(x101702,x101702,x101702),f333(f333(f8(x101702,f882(x101702,x101702),x101702),f79(x101702)),f333(f333(f18(x101702,x101702,x101702),f79(x101702)),f5(x101702)))),f77(x101702))))),f45(x101701,f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f105(x101702),x101701)) % 183.16/183.19 [5224]~P57(x52243)+~P35(x52243,x52242,f55(x52243))+E(x52241,f775(x52242,x52243))+~P23(f333(x52242,x52241)) % 183.16/183.19 [5382]~P57(x53821)+P35(x53821,x53822,f55(x53821))+~E(f776(x53822,x53821,x53823),x53823)+~P23(f333(x53822,x53823)) % 183.16/183.19 [4870]~P89(x48703)+~P90(x48703)+E(x48701,x48702)+~E(f333(f106(x48703),x48701),f333(f106(x48703),x48702)) % 183.16/183.19 [6002]~P57(x60021)+P35(x60021,x60022,f55(x60021))+~P23(f333(x60022,x60023))+P23(f333(x60022,f776(x60022,x60021,x60023))) % 183.16/183.19 [6012]~P23(f333(x60121,x60122))+~P23(f333(x60121,x60123))+~P23(f333(f333(f247(a875),x60123),f410(x60122,x60121)))+P23(f333(x60121,f2(a875))) % 183.16/183.19 [6426]P144(x64262,x64261,x64263)+E(x64261,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f813(x64263,x64261,x64262)))+P23(f333(f333(f248(a1),x64261),f2(a1))) % 183.16/183.19 [6427]P143(x64272,x64271,x64273)+E(x64271,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f818(x64273,x64271,x64272)))+P23(f333(f333(f248(a1),x64271),f2(a1))) % 183.16/183.19 [6546]P143(x65461,x65462,x65463)+~P23(f333(x65461,x65463))+P23(f333(f333(f247(a1),f2(a1)),f818(x65463,x65462,x65461)))+P23(f333(f333(f248(a1),x65462),f2(a1))) % 183.16/183.19 [6573]P144(x65731,x65732,x65733)+P23(f333(f333(f247(a1),f2(a1)),f813(x65733,x65732,x65731)))+~P23(f333(x65731,f2(a1)))+P23(f333(f333(f248(a1),x65732),f2(a1))) % 183.16/183.19 [6601]P144(x66012,x66011,x66013)+E(x66011,f2(a1))+~P23(f333(x66012,f814(x66013,x66011,x66012)))+P23(f333(f333(f248(a1),x66011),f2(a1))) % 183.16/183.19 [6602]P143(x66022,x66021,x66023)+E(x66021,f2(a1))+~P23(f333(x66022,f818(x66023,x66021,x66022)))+P23(f333(f333(f248(a1),x66021),f2(a1))) % 183.16/183.19 [6702]~P26(x67021)+~P106(x67021)+~P23(f333(f333(f248(x67021),x67022),f39(x67021,x67023)))+P23(f333(f333(f248(x67021),x67022),f862(x67023,x67022,x67021))) % 183.16/183.19 [6711]P143(x67111,x67112,x67113)+~P23(f333(x67111,x67113))+~P23(f333(x67111,f818(x67113,x67112,x67111)))+P23(f333(f333(f248(a1),x67112),f2(a1))) % 183.16/183.19 [6743]P144(x67431,x67432,x67433)+~P23(f333(x67431,f814(x67433,x67432,x67431)))+~P23(f333(x67431,f2(a1)))+P23(f333(f333(f248(a1),x67432),f2(a1))) % 183.16/183.19 [6997]P144(x69972,x69971,x69973)+E(x69971,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f813(x69973,x69971,x69972)))+P23(f333(f333(f248(a1),x69971),f812(x69973,x69971,x69972))) % 183.16/183.19 [6998]P143(x69982,x69981,x69983)+E(x69981,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f818(x69983,x69981,x69982)))+P23(f333(f333(f248(a1),x69981),f817(x69983,x69981,x69982))) % 183.16/183.19 [7115]P143(x71151,x71152,x71153)+~P23(f333(x71151,x71153))+P23(f333(f333(f247(a1),f2(a1)),f818(x71153,x71152,x71151)))+P23(f333(f333(f248(a1),x71152),f817(x71153,x71152,x71151))) % 183.16/183.19 [7134]P144(x71341,x71342,x71343)+P23(f333(f333(f247(a1),f2(a1)),f813(x71343,x71342,x71341)))+P23(f333(f333(f248(a1),x71342),f812(x71343,x71342,x71341)))+~P23(f333(x71341,f2(a1))) % 183.16/183.19 [7167]P144(x71672,x71671,x71673)+E(x71671,f2(a1))+~P23(f333(x71672,f814(x71673,x71671,x71672)))+P23(f333(f333(f248(a1),x71671),f812(x71673,x71671,x71672))) % 183.16/183.19 [7168]P143(x71682,x71681,x71683)+E(x71681,f2(a1))+~P23(f333(x71682,f818(x71683,x71681,x71682)))+P23(f333(f333(f248(a1),x71681),f817(x71683,x71681,x71682))) % 183.16/183.19 [7209]P144(x72092,x72091,x72093)+E(x72091,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f813(x72093,x72091,x72092)))+~P23(f333(x72092,f815(x72093,x72091,x72092))) % 183.16/183.19 [7210]P143(x72102,x72101,x72103)+E(x72101,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f818(x72103,x72101,x72102)))+~P23(f333(x72102,f817(x72103,x72101,x72102))) % 183.16/183.19 [7298]P143(x72981,x72982,x72983)+~P23(f333(x72981,x72983))+~P23(f333(x72981,f818(x72983,x72982,x72981)))+P23(f333(f333(f248(a1),x72982),f817(x72983,x72982,x72981))) % 183.16/183.19 [7314]P144(x73141,x73142,x73143)+~P23(f333(x73141,f814(x73143,x73142,x73141)))+P23(f333(f333(f248(a1),x73142),f812(x73143,x73142,x73141)))+~P23(f333(x73141,f2(a1))) % 183.16/183.19 [7318]P143(x73181,x73182,x73183)+~P23(f333(x73181,x73183))+P23(f333(f333(f247(a1),f2(a1)),f818(x73183,x73182,x73181)))+~P23(f333(x73181,f817(x73183,x73182,x73181))) % 183.16/183.19 [7336]P144(x73361,x73362,x73363)+P23(f333(f333(f247(a1),f2(a1)),f813(x73363,x73362,x73361)))+~P23(f333(x73361,f815(x73363,x73362,x73361)))+~P23(f333(x73361,f2(a1))) % 183.16/183.19 [7360]P144(x73602,x73601,x73603)+E(x73601,f2(a1))+~P23(f333(x73602,f814(x73603,x73601,x73602)))+~P23(f333(x73602,f815(x73603,x73601,x73602))) % 183.16/183.19 [7361]P143(x73612,x73611,x73613)+E(x73611,f2(a1))+~P23(f333(x73612,f818(x73613,x73611,x73612)))+~P23(f333(x73612,f817(x73613,x73611,x73612))) % 183.16/183.19 [7453]P143(x74531,x74532,x74533)+~P23(f333(x74531,x74533))+~P23(f333(x74531,f818(x74533,x74532,x74531)))+~P23(f333(x74531,f817(x74533,x74532,x74531))) % 183.16/183.19 [7470]P144(x74701,x74702,x74703)+~P23(f333(x74701,f814(x74703,x74702,x74701)))+~P23(f333(x74701,f815(x74703,x74702,x74701)))+~P23(f333(x74701,f2(a1))) % 183.16/183.19 [7519]P144(x75192,x75191,x75193)+E(x75191,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f813(x75193,x75191,x75192)))+P23(f333(f333(f247(a1),f812(x75193,x75191,x75192)),f2(a1))) % 183.16/183.19 [7520]P143(x75202,x75201,x75203)+E(x75201,f2(a1))+P23(f333(f333(f247(a1),f2(a1)),f818(x75203,x75201,x75202)))+P23(f333(f333(f247(a1),f817(x75203,x75201,x75202)),f2(a1))) % 183.16/183.19 [7521]~P138(x75211)+~P23(f333(f333(f335(x75211),x75213),f112(x75211)))+~P23(f333(f333(f335(x75211),x75212),f112(x75211)))+P23(f333(f333(f335(x75211),f333(f333(f22(x75211),x75212),x75213)),f112(x75211))) % 183.16/183.19 [7522]~P138(x75221)+~P23(f333(f333(f335(x75221),x75223),f112(x75221)))+~P23(f333(f333(f335(x75221),x75222),f112(x75221)))+P23(f333(f333(f335(x75221),f333(f333(f79(x75221),x75222),x75223)),f112(x75221))) % 183.16/183.19 [7523]~P141(x75231)+~P23(f333(f333(f335(x75231),x75233),f194(x75231)))+~P23(f333(f333(f335(x75231),x75232),f194(x75231)))+P23(f333(f333(f335(x75231),f333(f333(f79(x75231),x75232),x75233)),f194(x75231))) % 183.16/183.19 [7524]~P138(x75241)+~P23(f333(f333(f335(x75241),x75243),f112(x75241)))+~P23(f333(f333(f335(x75241),x75242),f112(x75241)))+P23(f333(f333(f335(x75241),f333(f333(f80(x75241),x75242),x75243)),f112(x75241))) % 183.16/183.19 [7525]~P141(x75251)+~P23(f333(f333(f335(x75251),x75253),f194(x75251)))+~P23(f333(f333(f335(x75251),x75252),f194(x75251)))+P23(f333(f333(f335(x75251),f333(f333(f80(x75251),x75252),x75253)),f194(x75251))) % 183.16/183.19 [7526]~P85(x75261)+~P23(f333(f333(f248(x75261),x75263),f2(x75261)))+~P23(f333(f333(f248(x75261),x75262),f2(x75261)))+P23(f333(f333(f248(x75261),f333(f333(f79(x75261),x75262),x75263)),f2(x75261))) % 183.16/183.19 [7527]~P85(x75271)+~P23(f333(f333(f247(x75271),x75272),f2(x75271)))+~P23(f333(f333(f248(x75271),x75273),f2(x75271)))+P23(f333(f333(f248(x75271),f333(f333(f79(x75271),x75272),x75273)),f2(x75271))) % 183.16/183.19 [7528]~P85(x75281)+~P23(f333(f333(f247(x75281),x75283),f2(x75281)))+~P23(f333(f333(f248(x75281),x75282),f2(x75281)))+P23(f333(f333(f248(x75281),f333(f333(f79(x75281),x75282),x75283)),f2(x75281))) % 183.16/183.19 [7529]~P85(x75291)+~P23(f333(f333(f247(x75291),x75293),f2(x75291)))+~P23(f333(f333(f247(x75291),x75292),f2(x75291)))+P23(f333(f333(f247(x75291),f333(f333(f79(x75291),x75292),x75293)),f2(x75291))) % 183.16/183.19 [7555]P144(x75553,x75551,x75552)+E(x75551,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x75551),f814(x75552,x75551,x75553))),f813(x75552,x75551,x75553)),x75552)+P23(f333(f333(f248(a1),x75551),f2(a1))) % 183.16/183.19 [7556]P143(x75563,x75561,x75562)+E(x75561,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x75561),f819(x75562,x75561,x75563))),f818(x75562,x75561,x75563)),x75562)+P23(f333(f333(f248(a1),x75561),f2(a1))) % 183.16/183.19 [7638]P143(x76381,x76382,x76383)+~P23(f333(x76381,x76383))+P23(f333(f333(f247(a1),f2(a1)),f818(x76383,x76382,x76381)))+P23(f333(f333(f247(a1),f817(x76383,x76382,x76381)),f2(a1))) % 183.16/183.19 [7667]P144(x76671,x76672,x76673)+P23(f333(f333(f247(a1),f2(a1)),f813(x76673,x76672,x76671)))+~P23(f333(x76671,f2(a1)))+P23(f333(f333(f247(a1),f812(x76673,x76672,x76671)),f2(a1))) % 183.16/183.19 [7677]P143(x76773,x76771,x76772)+~P23(f333(x76773,x76772))+E(f333(f333(f79(a1),f333(f333(f80(a1),x76771),f819(x76772,x76771,x76773))),f818(x76772,x76771,x76773)),x76772)+P23(f333(f333(f248(a1),x76771),f2(a1))) % 183.16/183.19 [7684]P144(x76842,x76841,x76843)+E(x76841,f2(a1))+~P23(f333(x76842,f814(x76843,x76841,x76842)))+P23(f333(f333(f247(a1),f812(x76843,x76841,x76842)),f2(a1))) % 183.16/183.19 [7685]P143(x76852,x76851,x76853)+E(x76851,f2(a1))+~P23(f333(x76852,f818(x76853,x76851,x76852)))+P23(f333(f333(f247(a1),f817(x76853,x76851,x76852)),f2(a1))) % 183.16/183.19 [7690]P144(x76903,x76901,x76902)+E(f333(f333(f79(a1),f333(f333(f80(a1),x76901),f814(x76902,x76901,x76903))),f813(x76902,x76901,x76903)),x76902)+~P23(f333(x76903,f2(a1)))+P23(f333(f333(f248(a1),x76901),f2(a1))) % 183.16/183.19 [7747]P143(x77471,x77472,x77473)+~P23(f333(x77471,x77473))+~P23(f333(x77471,f818(x77473,x77472,x77471)))+P23(f333(f333(f247(a1),f817(x77473,x77472,x77471)),f2(a1))) % 183.16/183.19 [7751]P144(x77511,x77512,x77513)+~P23(f333(x77511,f814(x77513,x77512,x77511)))+~P23(f333(x77511,f2(a1)))+P23(f333(f333(f247(a1),f812(x77513,x77512,x77511)),f2(a1))) % 183.16/183.19 [7823]~P60(x78231)+~P23(f333(f333(f248(x78231),f333(f333(f291(x78231),x78233),x78232)),f2(x78231)))+P23(f333(f333(f248(x78231),x78232),f2(x78231)))+P23(f333(f333(f248(x78231),x78233),f2(x78231))) % 183.16/183.19 [7824]~P122(x78241)+~P23(f333(f333(f247(x78241),f333(f333(f80(x78241),x78243),x78242)),f2(x78241)))+P23(f333(f333(f247(x78241),x78242),f2(x78241)))+P23(f333(f333(f247(x78241),x78243),f2(x78241))) % 183.16/183.19 [7825]~P60(x78251)+~P23(f333(f333(f247(x78251),f333(f333(f291(x78251),x78253),x78252)),f2(x78251)))+P23(f333(f333(f247(x78251),x78252),f2(x78251)))+P23(f333(f333(f247(x78251),x78253),f2(x78251))) % 183.16/183.19 [7939]P144(x79393,x79391,x79392)+E(x79391,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x79391),f814(x79392,x79391,x79393))),f813(x79392,x79391,x79393)),x79392)+P23(f333(f333(f248(a1),x79391),f812(x79392,x79391,x79393))) % 183.16/183.19 [7940]P143(x79403,x79401,x79402)+E(x79401,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x79401),f819(x79402,x79401,x79403))),f818(x79402,x79401,x79403)),x79402)+P23(f333(f333(f248(a1),x79401),f817(x79402,x79401,x79403))) % 183.16/183.19 [7952]P144(x79523,x79521,x79522)+E(x79521,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x79521),f815(x79522,x79521,x79523))),f812(x79522,x79521,x79523)),x79522)+P23(f333(f333(f247(a1),f2(a1)),f813(x79522,x79521,x79523))) % 183.16/183.19 [7953]P143(x79533,x79531,x79532)+E(x79531,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x79531),f820(x79532,x79531,x79533))),f817(x79532,x79531,x79533)),x79532)+P23(f333(f333(f247(a1),f2(a1)),f818(x79532,x79531,x79533))) % 183.16/183.19 [7998]P143(x79983,x79981,x79982)+~P23(f333(x79983,x79982))+E(f333(f333(f79(a1),f333(f333(f80(a1),x79981),f819(x79982,x79981,x79983))),f818(x79982,x79981,x79983)),x79982)+P23(f333(f333(f248(a1),x79981),f817(x79982,x79981,x79983))) % 183.16/183.19 [8010]P144(x80103,x80101,x80102)+E(f333(f333(f79(a1),f333(f333(f80(a1),x80101),f814(x80102,x80101,x80103))),f813(x80102,x80101,x80103)),x80102)+P23(f333(f333(f248(a1),x80101),f812(x80102,x80101,x80103)))+~P23(f333(x80103,f2(a1))) % 183.16/183.19 [8016]P143(x80163,x80161,x80162)+~P23(f333(x80163,x80162))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80161),f820(x80162,x80161,x80163))),f817(x80162,x80161,x80163)),x80162)+P23(f333(f333(f247(a1),f2(a1)),f818(x80162,x80161,x80163))) % 183.16/183.19 [8024]P144(x80243,x80241,x80242)+E(f333(f333(f79(a1),f333(f333(f80(a1),x80241),f815(x80242,x80241,x80243))),f812(x80242,x80241,x80243)),x80242)+P23(f333(f333(f247(a1),f2(a1)),f813(x80242,x80241,x80243)))+~P23(f333(x80243,f2(a1))) % 183.16/183.19 [8035]P144(x80353,x80351,x80352)+E(x80351,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80351),f814(x80352,x80351,x80353))),f813(x80352,x80351,x80353)),x80352)+~P23(f333(x80353,f815(x80352,x80351,x80353))) % 183.16/183.19 [8036]P143(x80363,x80361,x80362)+E(x80361,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80361),f819(x80362,x80361,x80363))),f818(x80362,x80361,x80363)),x80362)+~P23(f333(x80363,f817(x80362,x80361,x80363))) % 183.16/183.19 [8037]P144(x80373,x80371,x80372)+E(x80371,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80371),f815(x80372,x80371,x80373))),f812(x80372,x80371,x80373)),x80372)+~P23(f333(x80373,f814(x80372,x80371,x80373))) % 183.16/183.19 [8038]P143(x80383,x80381,x80382)+E(x80381,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80381),f820(x80382,x80381,x80383))),f817(x80382,x80381,x80383)),x80382)+~P23(f333(x80383,f818(x80382,x80381,x80383))) % 183.16/183.19 [8096]P143(x80963,x80961,x80962)+~P23(f333(x80963,x80962))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80961),f819(x80962,x80961,x80963))),f818(x80962,x80961,x80963)),x80962)+~P23(f333(x80963,f817(x80962,x80961,x80963))) % 183.16/183.19 [8097]P143(x80973,x80971,x80972)+~P23(f333(x80973,x80972))+E(f333(f333(f79(a1),f333(f333(f80(a1),x80971),f820(x80972,x80971,x80973))),f817(x80972,x80971,x80973)),x80972)+~P23(f333(x80973,f818(x80972,x80971,x80973))) % 183.16/183.19 [8107]P144(x81073,x81071,x81072)+E(f333(f333(f79(a1),f333(f333(f80(a1),x81071),f814(x81072,x81071,x81073))),f813(x81072,x81071,x81073)),x81072)+~P23(f333(x81073,f815(x81072,x81071,x81073)))+~P23(f333(x81073,f2(a1))) % 183.16/183.19 [8108]P144(x81083,x81081,x81082)+E(f333(f333(f79(a1),f333(f333(f80(a1),x81081),f815(x81082,x81081,x81083))),f812(x81082,x81081,x81083)),x81082)+~P23(f333(x81083,f814(x81082,x81081,x81083)))+~P23(f333(x81083,f2(a1))) % 183.16/183.19 [8213]P144(x82133,x82131,x82132)+E(x82131,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82131),f814(x82132,x82131,x82133))),f813(x82132,x82131,x82133)),x82132)+P23(f333(f333(f247(a1),f812(x82132,x82131,x82133)),f2(a1))) % 183.16/183.19 [8214]P143(x82143,x82141,x82142)+E(x82141,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82141),f819(x82142,x82141,x82143))),f818(x82142,x82141,x82143)),x82142)+P23(f333(f333(f247(a1),f817(x82142,x82141,x82143)),f2(a1))) % 183.16/183.19 [8254]P143(x82543,x82541,x82542)+~P23(f333(x82543,x82542))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82541),f819(x82542,x82541,x82543))),f818(x82542,x82541,x82543)),x82542)+P23(f333(f333(f247(a1),f817(x82542,x82541,x82543)),f2(a1))) % 183.16/183.19 [8259]P144(x82593,x82591,x82592)+E(f333(f333(f79(a1),f333(f333(f80(a1),x82591),f814(x82592,x82591,x82593))),f813(x82592,x82591,x82593)),x82592)+~P23(f333(x82593,f2(a1)))+P23(f333(f333(f247(a1),f812(x82592,x82591,x82593)),f2(a1))) % 183.16/183.19 [8388]P144(x83883,x83881,x83882)+E(x83881,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x83881),f815(x83882,x83881,x83883))),f812(x83882,x83881,x83883)),x83882)+E(f333(f333(f79(a1),f333(f333(f80(a1),x83881),f814(x83882,x83881,x83883))),f813(x83882,x83881,x83883)),x83882) % 183.16/183.19 [8389]P143(x83893,x83891,x83892)+E(x83891,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x83891),f820(x83892,x83891,x83893))),f817(x83892,x83891,x83893)),x83892)+E(f333(f333(f79(a1),f333(f333(f80(a1),x83891),f819(x83892,x83891,x83893))),f818(x83892,x83891,x83893)),x83892) % 183.16/183.19 [8413]P143(x84133,x84131,x84132)+~P23(f333(x84133,x84132))+E(f333(f333(f79(a1),f333(f333(f80(a1),x84131),f820(x84132,x84131,x84133))),f817(x84132,x84131,x84133)),x84132)+E(f333(f333(f79(a1),f333(f333(f80(a1),x84131),f819(x84132,x84131,x84133))),f818(x84132,x84131,x84133)),x84132) % 183.16/183.19 [8426]P144(x84263,x84261,x84262)+E(f333(f333(f79(a1),f333(f333(f80(a1),x84261),f815(x84262,x84261,x84263))),f812(x84262,x84261,x84263)),x84262)+E(f333(f333(f79(a1),f333(f333(f80(a1),x84261),f814(x84262,x84261,x84263))),f813(x84262,x84261,x84263)),x84262)+~P23(f333(x84263,f2(a1))) % 183.16/183.19 [9076]~P122(x90761)+~E(x90763,f2(x90761))+~E(x90762,f2(x90761))+P23(f333(f333(f247(x90761),f333(f333(f79(x90761),f333(f333(f80(x90761),x90762),x90762)),f333(f333(f80(x90761),x90763),x90763))),f2(x90761))) % 183.16/183.19 [10120]~P114(x101201)+~E(x101203,f2(x101201))+~E(x101202,f2(x101201))+P23(f333(f333(f247(x101201),f333(f333(f79(x101201),f333(f333(f258(x101201),x101202),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x101201),x101203),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))),f2(x101201))) % 183.16/183.19 [4819]~E(x48193,x48191)+~P117(x48192)+E(x48191,f2(x48192))+E(f333(f333(f291(x48192),x48193),x48191),f77(x48192)) % 183.16/183.19 [4871]~P63(x48711)+~E(x48713,f196(x48711))+~E(x48712,f196(x48711))+E(f333(f333(f113(x48711),x48712),x48713),f196(x48711)) % 183.16/183.19 [4872]~P97(x48721)+~E(x48723,f256(x48721))+~E(x48722,f256(x48721))+E(f333(f333(f104(x48721),x48722),x48723),f256(x48721)) % 183.16/183.19 [4959]~P117(x49593)+E(x49591,x49592)+E(x49592,f2(x49593))+~E(f333(f333(f291(x49593),x49591),x49592),f77(x49593)) % 183.16/183.19 [4978]~P129(x49782)+E(x49781,f2(x49782))+E(x49783,f2(x49782))+~E(f333(f333(f80(x49782),x49783),x49781),f2(x49782)) % 183.16/183.19 [4979]~P136(x49792)+E(x49791,f2(x49792))+E(x49793,f2(x49792))+~E(f333(f333(f80(x49792),x49793),x49791),f2(x49792)) % 183.16/183.19 [5349]~P116(x53493)+E(x53491,x53492)+E(x53491,f333(f78(x53493),x53492))+~E(f333(f333(f80(x53493),x53491),x53491),f333(f333(f80(x53493),x53492),x53492)) % 183.16/183.19 [5389]~P93(x53891)+E(f333(f78(x53891),x53892),x53893)+~E(f333(f333(f113(x53891),x53892),x53893),f256(x53891))+~E(f333(f333(f104(x53891),x53892),x53893),f196(x53891)) % 183.16/183.19 [5463]~P114(x54633)+E(x54631,x54632)+P23(f333(f333(f248(x54633),x54632),x54631))+P23(f333(f333(f248(x54633),x54631),x54632)) % 183.16/183.19 [5469]~P106(x54693)+E(x54691,x54692)+P23(f333(f333(f248(x54693),x54692),x54691))+P23(f333(f333(f248(x54693),x54691),x54692)) % 183.16/183.19 [5470]~E(x54702,x54703)+~P106(x54701)+P23(f333(f333(f247(x54701),x54702),x54703))+P23(f333(f333(f248(x54701),x54702),x54703)) % 183.16/183.19 [5725]~P108(x57253)+E(x57251,x57252)+~P23(f333(f333(f247(x57253),x57252),x57251))+P23(f333(f333(f248(x57253),x57252),x57251)) % 183.16/183.19 [5727]~P106(x57273)+E(x57271,x57272)+~P23(f333(f333(f247(x57273),x57271),x57272))+P23(f333(f333(f248(x57273),x57271),x57272)) % 183.16/183.19 [5733]~P108(x57333)+E(x57331,x57332)+~P23(f333(f333(f247(x57333),x57331),x57332))+P23(f333(f333(f248(x57333),x57331),x57332)) % 183.16/183.19 [5833]P143(x58331,x58332,x58333)+~P23(f333(x58331,x58333))+P23(f333(f333(f248(a1),x58332),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x58332)) % 183.16/183.19 [5880]P144(x58801,x58802,x58803)+~P23(f333(x58801,f2(a1)))+P23(f333(f333(f248(a1),x58802),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x58802)) % 183.16/183.19 [5884]~P62(x58841)+E(f333(f333(f113(x58841),x58842),f10(x58841,x58843)),x58842)+~P23(f333(f61(x58841),x58843))+~P23(f333(f333(f335(x58841),x58842),x58843)) % 183.16/183.19 [5885]~P62(x58851)+E(f333(f333(f104(x58851),x58852),f13(x58851,x58853)),x58852)+~P23(f333(f61(x58851),x58853))+~P23(f333(f333(f335(x58851),x58852),x58853)) % 183.16/183.19 [5919]~P62(x59191)+E(f333(f333(f113(x59191),x59192),f13(x59191,x59193)),f13(x59191,x59193))+~P23(f333(f61(x59191),x59193))+~P23(f333(f333(f335(x59191),x59192),x59193)) % 183.16/183.19 [5920]~P62(x59201)+E(f333(f333(f104(x59201),x59202),f10(x59201,x59203)),f10(x59201,x59203))+~P23(f333(f61(x59201),x59203))+~P23(f333(f333(f335(x59201),x59202),x59203)) % 183.16/183.19 [5921]~P106(x59211)+E(f333(f333(f245(x59211),x59212),f14(x59211,x59213)),f14(x59211,x59213))+~P23(f333(f61(x59211),x59213))+~P23(f333(f333(f335(x59211),x59212),x59213)) % 183.16/183.19 [5922]~P106(x59221)+E(f333(f333(f246(x59221),x59222),f15(x59221,x59223)),f15(x59221,x59223))+~P23(f333(f61(x59221),x59223))+~P23(f333(f333(f335(x59221),x59222),x59223)) % 183.16/183.19 [5967]E(x59671,x59672)+~P108(x59673)+~P23(f333(f333(f247(x59673),x59672),x59671))+~P23(f333(f333(f247(x59673),x59671),x59672)) % 183.16/183.19 [6107]~P105(x61071)+P23(f333(f333(f247(x61071),x61073),x61072))+~P23(f333(f333(f247(x61071),x61072),x61073))+P23(f333(f333(f248(x61071),x61072),x61073)) % 183.16/183.19 [6128]~P106(x61281)+~P23(f333(f61(x61281),x61283))+P23(f333(f333(f247(x61281),x61282),f15(x61281,x61283)))+~P23(f333(f333(f335(x61281),x61282),x61283)) % 183.16/183.19 [6176]~P106(x61761)+E(f333(f333(f245(x61761),x61762),f12(x61761,f246(x61761),x61763)),x61762)+~P23(f333(f61(x61761),x61763))+~P23(f333(f333(f335(x61761),x61762),x61763)) % 183.16/183.19 [6177]~P106(x61771)+E(f333(f333(f246(x61771),x61772),f11(x61771,f245(x61771),x61773)),x61772)+~P23(f333(f61(x61771),x61773))+~P23(f333(f333(f335(x61771),x61772),x61773)) % 183.16/183.19 [6315]E(x63151,x63152)+~E(f333(f333(f22(a875),x63151),x63153),f333(f333(f22(a875),x63152),x63153))+~P23(f333(f333(f247(a875),x63153),x63151))+~P23(f333(f333(f247(a875),x63153),x63152)) % 183.16/183.19 [6342]~P106(x63421)+~P23(f333(f61(x63421),x63422))+~P23(f333(f333(f335(x63421),x63423),x63422))+P23(f333(f333(f247(x63421),f14(x63421,x63422)),x63423)) % 183.16/183.19 [6405]P144(x64052,x64051,x64053)+E(x64051,f2(a1))+P23(f333(f333(f248(a1),x64051),f812(x64053,x64051,x64052)))+P23(f333(f333(f248(a1),f2(a1)),x64051)) % 183.16/183.19 [6406]P143(x64062,x64061,x64063)+E(x64061,f2(a1))+P23(f333(f333(f248(a1),x64061),f817(x64063,x64061,x64062)))+P23(f333(f333(f248(a1),f2(a1)),x64061)) % 183.16/183.19 [6407]~P106(x64071)+E(f333(f333(f245(x64071),x64072),f11(x64071,f245(x64071),x64073)),f11(x64071,f245(x64071),x64073))+~P23(f333(f61(x64071),x64073))+~P23(f333(f333(f335(x64071),x64072),x64073)) % 183.16/183.19 [6408]~P106(x64081)+E(f333(f333(f246(x64081),x64082),f12(x64081,f246(x64081),x64083)),f12(x64081,f246(x64081),x64083))+~P23(f333(f61(x64081),x64083))+~P23(f333(f333(f335(x64081),x64082),x64083)) % 183.16/183.19 [6414]~P23(f333(x64141,x64142))+P23(f333(x64141,f522(x64142,x64141,x64143)))+P23(f333(x64141,f2(a875)))+~P23(f333(f333(f248(a875),x64142),x64143)) % 183.16/183.19 [6468]~P23(f333(x64681,x64682))+~P23(f333(f61(x64683),x64682))+P23(f333(x64681,f615(x64681,x64682,x64683)))+P23(f333(x64681,f196(f882(x64683,a870)))) % 183.16/183.19 [6481]~P114(x64811)+~P90(x64811)+P23(f333(f333(f248(x64811),f333(f106(x64811),x64812)),f333(f106(x64811),x64813)))+~P23(f333(f333(f248(a1),x64812),x64813)) % 183.16/183.19 [6482]~P114(x64821)+~P90(x64821)+P23(f333(f333(f247(x64821),f333(f106(x64821),x64822)),f333(f106(x64821),x64823)))+~P23(f333(f333(f247(a1),x64822),x64823)) % 183.16/183.19 [6485]~P23(f333(x64851,x64853))+~P23(f333(f61(x64852),x64853))+P23(f333(f61(x64852),f615(x64851,x64853,x64852)))+P23(f333(x64851,f196(f882(x64852,a870)))) % 183.16/183.19 [6518]P143(x65181,x65182,x65183)+~P23(f333(x65181,x65183))+P23(f333(f333(f248(a1),x65182),f817(x65183,x65182,x65181)))+P23(f333(f333(f248(a1),f2(a1)),x65182)) % 183.16/183.19 [6553]P144(x65531,x65532,x65533)+P23(f333(f333(f248(a1),x65532),f812(x65533,x65532,x65531)))+~P23(f333(x65531,f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x65532)) % 183.16/183.19 [6584]~P107(x65841)+~P91(x65841)+E(f333(f333(f245(x65841),f333(f106(x65841),x65842)),f333(f106(x65841),x65843)),f333(f106(x65841),x65843))+P23(f333(f333(f247(x65841),f333(f106(x65841),x65842)),f333(f106(x65841),x65843))) % 183.16/183.19 [6585]~P107(x65851)+~P91(x65851)+E(f333(f333(f246(x65851),f333(f106(x65851),x65852)),f333(f106(x65851),x65853)),f333(f106(x65851),x65852))+P23(f333(f333(f247(x65851),f333(f106(x65851),x65852)),f333(f106(x65851),x65853))) % 183.16/183.19 [6643]P144(x66432,x66431,x66433)+E(x66431,f2(a1))+~P23(f333(x66432,f815(x66433,x66431,x66432)))+P23(f333(f333(f248(a1),f2(a1)),x66431)) % 183.16/183.19 [6644]P143(x66442,x66441,x66443)+E(x66441,f2(a1))+~P23(f333(x66442,f817(x66443,x66441,x66442)))+P23(f333(f333(f248(a1),f2(a1)),x66441)) % 183.16/183.19 [6648]P23(f333(x66481,x66482))+~P23(f333(f61(x66483),x66482))+P23(f333(x66481,f487(x66481,x66482,x66483)))+~P23(f333(x66481,f196(f882(x66483,a870)))) % 183.16/183.19 [6667]P23(f333(x66671,x66672))+P23(f333(f61(x66673),f487(x66671,x66672,x66673)))+~P23(f333(f61(x66673),x66672))+~P23(f333(x66671,f196(f882(x66673,a870)))) % 183.16/183.19 [6732]P143(x67321,x67322,x67323)+~P23(f333(x67321,x67323))+~P23(f333(x67321,f817(x67323,x67322,x67321)))+P23(f333(f333(f248(a1),f2(a1)),x67322)) % 183.16/183.19 [6762]P144(x67621,x67622,x67623)+~P23(f333(x67621,f815(x67623,x67622,x67621)))+~P23(f333(x67621,f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x67622)) % 183.16/183.19 [6870]~P90(x68703)+~P114(x68703)+~P23(f333(f333(f248(x68703),f333(f106(x68703),x68701)),f333(f106(x68703),x68702)))+P23(f333(f333(f248(a1),x68701),x68702)) % 183.16/183.19 [6871]~P90(x68713)+~P114(x68713)+~P23(f333(f333(f247(x68713),f333(f106(x68713),x68711)),f333(f106(x68713),x68712)))+P23(f333(f333(f247(a1),x68711),x68712)) % 183.16/183.19 [6900]~P106(x69001)+~P28(x69001,x69003)+P28(x69001,f333(f333(f152(x69001),x69002),x69003))+~P23(f333(f333(f247(x69001),x69002),f745(x69003,x69002,x69001))) % 183.16/183.19 [6901]~P106(x69011)+~P28(x69011,x69013)+P28(x69011,f333(f333(f152(x69011),x69012),x69013))+~P23(f333(f333(f247(x69011),x69012),f747(x69013,x69012,x69011))) % 183.16/183.19 [6902]~P106(x69021)+~P28(x69021,x69023)+P28(x69021,f333(f333(f152(x69021),x69022),x69023))+~P23(f333(f333(f247(x69021),x69022),f778(x69022,x69023,x69021))) % 183.16/183.19 [6986]P144(x69862,x69861,x69863)+E(x69861,f2(a1))+P23(f333(f333(f248(a1),x69861),f2(a1)))+P23(f333(f333(f248(a1),f813(x69863,x69861,x69862)),x69861)) % 183.16/183.19 [6987]P143(x69872,x69871,x69873)+E(x69871,f2(a1))+P23(f333(f333(f248(a1),x69871),f2(a1)))+P23(f333(f333(f248(a1),f818(x69873,x69871,x69872)),x69871)) % 183.16/183.19 [7028]P144(x70282,x70281,x70283)+E(x70281,f2(a1))+P23(f333(f333(f247(a1),f812(x70283,x70281,x70282)),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x70281)) % 183.16/183.19 [7029]P143(x70292,x70291,x70293)+E(x70291,f2(a1))+P23(f333(f333(f247(a1),f817(x70293,x70291,x70292)),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x70291)) % 183.16/183.19 [7051]~P106(x70511)+~P28(x70511,x70513)+E(f333(f333(f149(x70511,x70511,f5(x70511)),x70512),f172(x70511,x70512,x70513)),x70513)+~P23(f333(f333(f335(x70511),x70512),f333(f174(x70511),x70513))) % 183.16/183.19 [7098]P143(x70981,x70982,x70983)+~P23(f333(x70981,x70983))+P23(f333(f333(f248(a1),x70982),f2(a1)))+P23(f333(f333(f248(a1),f818(x70983,x70982,x70981)),x70982)) % 183.16/183.19 [7104]~P107(x71041)+~P91(x71041)+E(f333(f333(f245(x71041),f333(f106(x71041),x71042)),f333(f106(x71041),x71043)),f333(f106(x71041),x71042))+~P23(f333(f333(f247(x71041),f333(f106(x71041),x71042)),f333(f106(x71041),x71043))) % 183.16/183.19 [7105]~P107(x71051)+~P91(x71051)+E(f333(f333(f246(x71051),f333(f106(x71051),x71052)),f333(f106(x71051),x71053)),f333(f106(x71051),x71053))+~P23(f333(f333(f247(x71051),f333(f106(x71051),x71052)),f333(f106(x71051),x71053))) % 183.16/183.19 [7119]P144(x71191,x71192,x71193)+~P23(f333(x71191,f2(a1)))+P23(f333(f333(f248(a1),x71192),f2(a1)))+P23(f333(f333(f248(a1),f813(x71193,x71192,x71191)),x71192)) % 183.16/183.19 [7127]P143(x71271,x71272,x71273)+~P23(f333(x71271,x71273))+P23(f333(f333(f247(a1),f817(x71273,x71272,x71271)),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x71272)) % 183.16/183.19 [7151]P144(x71511,x71512,x71513)+~P23(f333(x71511,f2(a1)))+P23(f333(f333(f247(a1),f812(x71513,x71512,x71511)),f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x71512)) % 183.16/183.19 [7179]~P23(f333(x71791,x71792))+P23(f333(x71791,f2(a875)))+~P23(f333(f333(f248(a875),x71792),x71793))+P23(f333(f333(f248(a875),f522(x71792,x71791,x71793)),x71793)) % 183.16/183.19 [7196]~P106(x71961)+~P28(x71961,x71963)+P28(x71961,f333(f333(f152(x71961),x71962),x71963))+P23(f333(f333(f335(x71961),f745(x71963,x71962,x71961)),f333(f174(x71961),x71963))) % 183.16/183.19 [7197]~P106(x71971)+~P28(x71971,x71973)+P28(x71971,f333(f333(f152(x71971),x71972),x71973))+P23(f333(f333(f335(x71971),f747(x71973,x71972,x71971)),f333(f174(x71971),x71973))) % 183.16/183.19 [7198]~P106(x71981)+~P28(x71981,x71983)+P28(x71981,f333(f333(f152(x71981),x71982),x71983))+P23(f333(f333(f335(x71981),f778(x71982,x71983,x71981)),f333(f174(x71981),x71983))) % 183.16/183.19 [7302]~P26(x73021)+~P106(x73021)+~P23(f333(f333(f248(x73021),x73023),f39(x73021,x73022)))+P23(f333(f333(f335(x73021),f862(x73022,x73023,x73021)),x73022)) % 183.16/183.19 [7468]~P26(x74681)+~P106(x74681)+~P23(f333(f333(f248(x74681),f40(x74681,x74683)),x74682))+P23(f333(f333(f335(x74681),f865(x74682,x74683,x74681)),x74683)) % 183.16/183.19 [7469]~P26(x74691)+~P106(x74691)+~P23(f333(f333(f248(x74691),f40(x74691,x74693)),x74692))+P23(f333(f333(f248(x74691),f865(x74692,x74693,x74691)),x74692)) % 183.16/183.19 [7484]P144(x74842,x74841,x74843)+E(x74841,f2(a1))+P23(f333(f333(f248(a1),x74841),f812(x74843,x74841,x74842)))+P23(f333(f333(f248(a1),f813(x74843,x74841,x74842)),x74841)) % 183.16/183.19 [7485]P143(x74852,x74851,x74853)+E(x74851,f2(a1))+P23(f333(f333(f248(a1),x74851),f817(x74853,x74851,x74852)))+P23(f333(f333(f248(a1),f818(x74853,x74851,x74852)),x74851)) % 183.16/183.19 [7576]P144(x75763,x75761,x75762)+E(x75761,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x75761),f815(x75762,x75761,x75763))),f812(x75762,x75761,x75763)),x75762)+P23(f333(f333(f248(a1),f2(a1)),x75761)) % 183.16/183.19 [7577]P143(x75773,x75771,x75772)+E(x75771,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x75771),f820(x75772,x75771,x75773))),f817(x75772,x75771,x75773)),x75772)+P23(f333(f333(f248(a1),f2(a1)),x75771)) % 183.16/183.19 [7579]~P125(x75791)+~P23(f333(f333(f248(x75791),x75793),f2(x75791)))+P23(f333(f333(f248(x75791),f333(f333(f80(x75791),x75792),x75793)),f2(x75791)))+~P23(f333(f333(f248(x75791),f2(x75791)),x75792)) % 183.16/183.19 [7580]~P125(x75801)+~P23(f333(f333(f248(x75801),x75802),f2(x75801)))+P23(f333(f333(f248(x75801),f333(f333(f80(x75801),x75802),x75803)),f2(x75801)))+~P23(f333(f333(f248(x75801),f2(x75801)),x75803)) % 183.16/183.19 [7581]~P60(x75811)+~P23(f333(f333(f248(x75811),x75813),f2(x75811)))+P23(f333(f333(f248(x75811),f333(f333(f291(x75811),x75812),x75813)),f2(x75811)))+~P23(f333(f333(f248(x75811),f2(x75811)),x75812)) % 183.16/183.19 [7582]~P60(x75821)+~P23(f333(f333(f248(x75821),x75822),f2(x75821)))+P23(f333(f333(f248(x75821),f333(f333(f291(x75821),x75822),x75823)),f2(x75821)))+~P23(f333(f333(f248(x75821),f2(x75821)),x75823)) % 183.16/183.19 [7583]~P61(x75831)+~P23(f333(f333(f248(x75831),x75833),f2(x75831)))+P23(f333(f333(f248(x75831),f333(f333(f291(x75831),x75832),x75833)),f2(x75831)))+~P23(f333(f333(f248(x75831),f2(x75831)),x75832)) % 183.16/183.19 [7584]~P61(x75841)+~P23(f333(f333(f248(x75841),x75842),f2(x75841)))+P23(f333(f333(f248(x75841),f333(f333(f291(x75841),x75842),x75843)),f2(x75841)))+~P23(f333(f333(f248(x75841),f2(x75841)),x75843)) % 183.16/183.19 [7586]~P122(x75861)+~P23(f333(f333(f247(x75861),x75863),f2(x75861)))+P23(f333(f333(f247(x75861),f333(f333(f80(x75861),x75862),x75863)),f2(x75861)))+~P23(f333(f333(f247(x75861),f2(x75861)),x75862)) % 183.16/183.19 [7587]~P122(x75871)+~P23(f333(f333(f247(x75871),x75872),f2(x75871)))+P23(f333(f333(f247(x75871),f333(f333(f80(x75871),x75872),x75873)),f2(x75871)))+~P23(f333(f333(f247(x75871),f2(x75871)),x75873)) % 183.16/183.19 [7589]~P130(x75891)+~P23(f333(f333(f247(x75891),x75893),f2(x75891)))+P23(f333(f333(f247(x75891),f333(f333(f80(x75891),x75892),x75893)),f2(x75891)))+~P23(f333(f333(f247(x75891),f2(x75891)),x75892)) % 183.16/183.19 [7591]~P130(x75911)+~P23(f333(f333(f247(x75911),x75912),f2(x75911)))+P23(f333(f333(f247(x75911),f333(f333(f80(x75911),x75912),x75913)),f2(x75911)))+~P23(f333(f333(f247(x75911),f2(x75911)),x75913)) % 183.16/183.19 [7592]~P60(x75921)+~P23(f333(f333(f247(x75921),x75923),f2(x75921)))+P23(f333(f333(f247(x75921),f333(f333(f291(x75921),x75922),x75923)),f2(x75921)))+~P23(f333(f333(f247(x75921),f2(x75921)),x75922)) % 183.16/183.19 [7593]~P60(x75931)+~P23(f333(f333(f247(x75931),x75932),f2(x75931)))+P23(f333(f333(f247(x75931),f333(f333(f291(x75931),x75932),x75933)),f2(x75931)))+~P23(f333(f333(f247(x75931),f2(x75931)),x75933)) % 183.16/183.19 [7594]~P61(x75941)+~P23(f333(f333(f248(x75941),x75943),f2(x75941)))+P23(f333(f333(f247(x75941),f333(f333(f291(x75941),x75942),x75943)),f2(x75941)))+~P23(f333(f333(f247(x75941),f2(x75941)),x75942)) % 183.16/183.19 [7595]~P61(x75951)+~P23(f333(f333(f247(x75951),x75952),f2(x75951)))+P23(f333(f333(f247(x75951),f333(f333(f291(x75951),x75952),x75953)),f2(x75951)))+~P23(f333(f333(f248(x75951),f2(x75951)),x75953)) % 183.16/183.19 [7610]P143(x76101,x76102,x76103)+~P23(f333(x76101,x76103))+P23(f333(f333(f248(a1),x76102),f817(x76103,x76102,x76101)))+P23(f333(f333(f248(a1),f818(x76103,x76102,x76101)),x76102)) % 183.16/183.19 [7623]P144(x76231,x76232,x76233)+P23(f333(f333(f248(a1),x76232),f812(x76233,x76232,x76231)))+~P23(f333(x76231,f2(a1)))+P23(f333(f333(f248(a1),f813(x76233,x76232,x76231)),x76232)) % 183.16/183.19 [7674]P144(x76742,x76741,x76743)+E(x76741,f2(a1))+~P23(f333(x76742,f815(x76743,x76741,x76742)))+P23(f333(f333(f248(a1),f813(x76743,x76741,x76742)),x76741)) % 183.16/183.19 [7675]P143(x76752,x76751,x76753)+E(x76751,f2(a1))+~P23(f333(x76752,f817(x76753,x76751,x76752)))+P23(f333(f333(f248(a1),f818(x76753,x76751,x76752)),x76751)) % 183.16/183.19 [7687]P143(x76873,x76871,x76872)+~P23(f333(x76873,x76872))+E(f333(f333(f79(a1),f333(f333(f80(a1),x76871),f820(x76872,x76871,x76873))),f817(x76872,x76871,x76873)),x76872)+P23(f333(f333(f248(a1),f2(a1)),x76871)) % 183.16/183.19 [7705]P144(x77053,x77051,x77052)+E(f333(f333(f79(a1),f333(f333(f80(a1),x77051),f815(x77052,x77051,x77053))),f812(x77052,x77051,x77053)),x77052)+~P23(f333(x77053,f2(a1)))+P23(f333(f333(f248(a1),f2(a1)),x77051)) % 183.16/183.19 [7731]~P23(f333(x77311,x77313))+~P23(f333(f61(x77312),x77313))+P23(f333(f333(f335(x77312),f616(x77311,x77313,x77312)),f615(x77311,x77313,x77312)))+P23(f333(x77311,f196(f882(x77312,a870)))) % 183.16/183.19 [7742]P143(x77421,x77422,x77423)+~P23(f333(x77421,x77423))+~P23(f333(x77421,f817(x77423,x77422,x77421)))+P23(f333(f333(f248(a1),f818(x77423,x77422,x77421)),x77422)) % 183.16/183.19 [7748]P144(x77481,x77482,x77483)+~P23(f333(x77481,f815(x77483,x77482,x77481)))+~P23(f333(x77481,f2(a1)))+P23(f333(f333(f248(a1),f813(x77483,x77482,x77481)),x77482)) % 183.16/183.19 [7854]~P60(x78541)+~P23(f333(f333(f248(x78541),f333(f333(f291(x78541),x78543),x78542)),f2(x78541)))+P23(f333(f333(f248(x78541),x78542),f2(x78541)))+P23(f333(f333(f248(x78541),f2(x78541)),x78542)) % 183.16/183.19 [7855]~P60(x78551)+~P23(f333(f333(f248(x78551),f333(f333(f291(x78551),x78552),x78553)),f2(x78551)))+P23(f333(f333(f248(x78551),x78552),f2(x78551)))+P23(f333(f333(f248(x78551),f2(x78551)),x78552)) % 183.16/183.19 [7856]~P122(x78561)+~P23(f333(f333(f247(x78561),f333(f333(f80(x78561),x78563),x78562)),f2(x78561)))+P23(f333(f333(f247(x78561),x78562),f2(x78561)))+P23(f333(f333(f247(x78561),f2(x78561)),x78562)) % 183.16/183.19 [7857]~P122(x78571)+~P23(f333(f333(f247(x78571),f333(f333(f80(x78571),x78572),x78573)),f2(x78571)))+P23(f333(f333(f247(x78571),x78572),f2(x78571)))+P23(f333(f333(f247(x78571),f2(x78571)),x78572)) % 183.16/183.19 [7858]~P60(x78581)+~P23(f333(f333(f247(x78581),f333(f333(f291(x78581),x78583),x78582)),f2(x78581)))+P23(f333(f333(f247(x78581),x78582),f2(x78581)))+P23(f333(f333(f247(x78581),f2(x78581)),x78582)) % 183.16/183.19 [7859]~P60(x78591)+~P23(f333(f333(f247(x78591),f333(f333(f291(x78591),x78592),x78593)),f2(x78591)))+P23(f333(f333(f247(x78591),x78592),f2(x78591)))+P23(f333(f333(f247(x78591),f2(x78591)),x78592)) % 183.16/183.19 [7883]~P60(x78831)+~P23(f333(f333(f248(x78831),f333(f333(f291(x78831),x78832),x78833)),f2(x78831)))+P23(f333(f333(f248(x78831),f2(x78831)),x78832))+P23(f333(f333(f248(x78831),f2(x78831)),x78833)) % 183.16/183.19 [7884]~P122(x78841)+~P23(f333(f333(f247(x78841),f333(f333(f80(x78841),x78842),x78843)),f2(x78841)))+P23(f333(f333(f247(x78841),f2(x78841)),x78842))+P23(f333(f333(f247(x78841),f2(x78841)),x78843)) % 183.16/183.19 [7885]~P60(x78851)+~P23(f333(f333(f247(x78851),f333(f333(f291(x78851),x78852),x78853)),f2(x78851)))+P23(f333(f333(f247(x78851),f2(x78851)),x78852))+P23(f333(f333(f247(x78851),f2(x78851)),x78853)) % 183.16/183.19 [7906]P144(x79062,x79061,x79063)+E(x79061,f2(a1))+P23(f333(f333(f247(a1),f812(x79063,x79061,x79062)),f2(a1)))+P23(f333(f333(f248(a1),f813(x79063,x79061,x79062)),x79061)) % 183.16/183.19 [7907]P143(x79072,x79071,x79073)+E(x79071,f2(a1))+P23(f333(f333(f247(a1),f817(x79073,x79071,x79072)),f2(a1)))+P23(f333(f333(f248(a1),f818(x79073,x79071,x79072)),x79071)) % 183.16/183.19 [7914]~P120(x79141)+~P23(f333(f333(f248(x79141),x79142),f77(x79141)))+P23(f333(f333(f248(x79141),f333(f333(f258(x79141),x79142),f333(a115,x79143))),f77(x79141)))+~P23(f333(f333(f248(x79141),f2(x79141)),x79142)) % 183.16/183.19 [7969]~P106(x79691)+~E(x79693,f116(x79691))+~P28(x79691,f333(f170(x79691),x79693))+E(f333(f143(x79691,x79691,f333(f7(x79691,x79691,x79691),f246(x79691)),x79692),f333(f170(x79691),x79693)),x79692) % 183.16/183.19 [7972]P143(x79721,x79722,x79723)+~P23(f333(x79721,x79723))+P23(f333(f333(f247(a1),f817(x79723,x79722,x79721)),f2(a1)))+P23(f333(f333(f248(a1),f818(x79723,x79722,x79721)),x79722)) % 183.16/183.19 [7982]P144(x79821,x79822,x79823)+~P23(f333(x79821,f2(a1)))+P23(f333(f333(f247(a1),f812(x79823,x79822,x79821)),f2(a1)))+P23(f333(f333(f248(a1),f813(x79823,x79822,x79821)),x79822)) % 183.16/183.19 [8208]P144(x82083,x82081,x82082)+E(x82081,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82081),f815(x82082,x82081,x82083))),f812(x82082,x82081,x82083)),x82082)+P23(f333(f333(f248(a1),f813(x82082,x82081,x82083)),x82081)) % 183.16/183.19 [8209]P143(x82093,x82091,x82092)+E(x82091,f2(a1))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82091),f820(x82092,x82091,x82093))),f817(x82092,x82091,x82093)),x82092)+P23(f333(f333(f248(a1),f818(x82092,x82091,x82093)),x82091)) % 183.16/183.19 [8245]P143(x82453,x82451,x82452)+~P23(f333(x82453,x82452))+E(f333(f333(f79(a1),f333(f333(f80(a1),x82451),f820(x82452,x82451,x82453))),f817(x82452,x82451,x82453)),x82452)+P23(f333(f333(f248(a1),f818(x82452,x82451,x82453)),x82451)) % 183.16/183.19 [8246]~P66(x82461)+~P73(x82461)+~P38(x82463)+E(f333(f333(f6(a875,x82461),f333(f333(f8(a1,x82461,a875),x82462),f103(a1))),f333(f312(a1,a875,a107),x82463)),f333(f333(f6(a1,x82461),x82462),x82463)) % 183.16/183.19 [8247]~P66(x82471)+~P73(x82471)+~P38(x82473)+E(f333(f333(f9(a875,x82471),f333(f333(f8(a1,x82471,a875),x82472),f103(a1))),f333(f312(a1,a875,a107),x82473)),f333(f333(f9(a1,x82471),x82472),x82473)) % 183.16/183.19 [8256]P144(x82563,x82561,x82562)+E(f333(f333(f79(a1),f333(f333(f80(a1),x82561),f815(x82562,x82561,x82563))),f812(x82562,x82561,x82563)),x82562)+~P23(f333(x82563,f2(a1)))+P23(f333(f333(f248(a1),f813(x82562,x82561,x82563)),x82561)) % 183.16/183.19 [8275]~E(x82752,f2(a875))+~E(f333(f267(a875,a875),x82753),f2(a875))+~E(x82751,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x82753)),x82752)),f333(f271(a875,a875),x82753)))+P23(f333(f47(x82751,x82752),x82753)) % 183.16/183.19 [8329]P23(f333(x83291,x83292))+~P23(f333(f333(f335(x83293),f500(x83291,x83292,x83293)),f487(x83291,x83292,x83293)))+~P23(f333(f61(x83293),x83292))+~P23(f333(x83291,f196(f882(x83293,a870)))) % 183.16/183.19 [8947]P23(f333(x89471,x89472))+~P23(f333(f61(x89473),x89472))+~P23(f333(x89471,f333(f333(f311(x89473),f500(x89471,x89472,x89473)),f487(x89471,x89472,x89473))))+~P23(f333(x89471,f196(f882(x89473,a870)))) % 183.16/183.19 [9180]P23(f333(f333(f247(a1),x91801),f2(a1)))+~P23(f333(f333(f248(a1),f333(f333(f79(a1),f333(f333(f80(a1),x91802),x91801)),x91803)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x91802))+~P23(f333(f333(f247(a1),f2(a1)),x91803)) % 183.16/183.19 [5794]~P62(x57942)+E(x57941,f196(f882(x57942,a870)))+~P23(f333(f61(x57942),x57941))+E(f13(x57942,f333(f333(f311(x57942),x57943),x57941)),f333(f333(f113(x57942),x57943),f13(x57942,x57941))) % 183.16/183.19 [5795]~P62(x57952)+E(x57951,f196(f882(x57952,a870)))+~P23(f333(f61(x57952),x57951))+E(f10(x57952,f333(f333(f311(x57952),x57953),x57951)),f333(f333(f104(x57952),x57953),f10(x57952,x57951))) % 183.16/183.19 [5796]~P106(x57962)+E(x57961,f196(f882(x57962,a870)))+~P23(f333(f61(x57962),x57961))+E(f14(x57962,f333(f333(f311(x57962),x57963),x57961)),f333(f333(f245(x57962),x57963),f14(x57962,x57961))) % 183.16/183.19 [5797]~P106(x57972)+E(x57971,f196(f882(x57972,a870)))+~P23(f333(f61(x57972),x57971))+E(f15(x57972,f333(f333(f311(x57972),x57973),x57971)),f333(f333(f246(x57972),x57973),f15(x57972,x57971))) % 183.16/183.19 [6104]~P122(x61041)+~E(x61043,f2(x61041))+~E(x61042,f2(x61041))+E(f333(f333(f79(x61041),f333(f333(f80(x61041),x61042),x61042)),f333(f333(f80(x61041),x61043),x61043)),f2(x61041)) % 183.16/183.19 [6169]~P94(x61692)+E(x61691,f196(f882(x61692,a870)))+~P23(f333(f61(x61692),x61691))+E(f333(f63(x61692,f80(x61692)),f333(f333(f311(x61692),x61693),x61691)),f333(f333(f80(x61692),x61693),f333(f63(x61692,f80(x61692)),x61691))) % 183.16/183.19 [6294]~P106(x62942)+E(x62941,f196(f882(x62942,a870)))+~P23(f333(f61(x62942),x62941))+E(f11(x62942,f245(x62942),f333(f333(f311(x62942),x62943),x62941)),f333(f333(f245(x62942),x62943),f11(x62942,f245(x62942),x62941))) % 183.16/183.19 [6295]~P106(x62952)+E(x62951,f196(f882(x62952,a870)))+~P23(f333(f61(x62952),x62951))+E(f12(x62952,f246(x62952),f333(f333(f311(x62952),x62953),x62951)),f333(f333(f246(x62952),x62953),f12(x62952,f246(x62952),x62951))) % 183.16/183.19 [6797]~P67(x67971)+~P23(f333(f61(x67971),x67973))+E(f333(f63(x67971,f80(x67971)),f333(f333(f311(x67971),x67972),x67973)),f333(f333(f64(x67971,x67971,f80(x67971)),x67972),x67973))+P23(f333(f333(f335(x67971),x67972),x67973)) % 183.16/183.19 [6878]~E(f333(f333(f79(a1),x68782),f333(f333(f80(a1),x68783),x68781)),x68783)+~P23(f333(f333(f248(a1),f2(a1)),x68783))+P23(f333(f333(f247(a1),f77(a1)),x68781))+~P23(f333(f333(f248(a1),x68782),x68783)) % 183.16/183.19 [6907]~E(f333(f333(f79(a1),x69072),f333(f333(f80(a1),x69073),x69071)),x69073)+P23(f333(f333(f247(a1),x69071),f77(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x69073))+~P23(f333(f333(f247(a1),f2(a1)),x69072)) % 183.16/183.19 [6923]E(x69231,f2(a875))+~P23(f333(f47(x69233,x69231),x69232))+~P23(f333(f333(f248(a875),f2(a875)),x69231))+P23(f333(f333(f248(a875),f333(f271(a875,a875),x69232)),x69231)) % 183.16/183.19 [6953]~P133(x69531)+~P23(f333(f333(f247(x69531),x69532),f2(x69531)))+~P23(f333(f333(f247(x69531),x69533),f2(x69531)))+E(f333(f333(f80(x69531),f333(f74(x69531),x69532)),f333(f74(x69531),x69533)),f333(f74(x69531),f333(f333(f80(x69531),x69532),x69533))) % 183.16/183.19 [7005]~P133(x70051)+~P23(f333(f333(f247(x70051),x70052),f2(x70051)))+E(f333(f333(f80(x70051),f333(f74(x70051),x70052)),f333(f74(x70051),x70053)),f333(f74(x70051),f333(f333(f80(x70051),x70052),x70053)))+~P23(f333(f333(f247(x70051),f2(x70051)),x70053)) % 183.16/183.19 [7006]~P133(x70061)+~P23(f333(f333(f247(x70061),x70063),f2(x70061)))+E(f333(f333(f80(x70061),f333(f74(x70061),x70062)),f333(f74(x70061),x70063)),f333(f74(x70061),f333(f333(f80(x70061),x70062),x70063)))+~P23(f333(f333(f247(x70061),f2(x70061)),x70062)) % 183.16/183.19 [7060]~P133(x70601)+E(f333(f333(f80(x70601),f333(f74(x70601),x70602)),f333(f74(x70601),x70603)),f333(f74(x70601),f333(f333(f80(x70601),x70602),x70603)))+~P23(f333(f333(f247(x70601),f2(x70601)),x70602))+~P23(f333(f333(f247(x70601),f2(x70601)),x70603)) % 183.16/183.19 [7076]~P122(x70761)+~P23(f333(f333(f248(x70761),x70763),f2(x70761)))+~P23(f333(f333(f248(x70761),x70762),f2(x70761)))+P23(f333(f333(f248(x70761),f2(x70761)),f333(f333(f80(x70761),x70762),x70763))) % 183.16/183.19 [7077]~P60(x70771)+~P23(f333(f333(f248(x70771),x70773),f2(x70771)))+~P23(f333(f333(f248(x70771),x70772),f2(x70771)))+P23(f333(f333(f248(x70771),f2(x70771)),f333(f333(f291(x70771),x70772),x70773))) % 183.16/183.19 [7078]~P61(x70781)+~P23(f333(f333(f248(x70781),x70783),f2(x70781)))+~P23(f333(f333(f248(x70781),x70782),f2(x70781)))+P23(f333(f333(f248(x70781),f2(x70781)),f333(f333(f291(x70781),x70782),x70783))) % 183.16/183.19 [7080]~P123(x70801)+~P23(f333(f333(f247(x70801),x70803),f2(x70801)))+~P23(f333(f333(f247(x70801),x70802),f2(x70801)))+P23(f333(f333(f247(x70801),f2(x70801)),f333(f333(f80(x70801),x70802),x70803))) % 183.16/183.19 [7081]~P122(x70811)+~P23(f333(f333(f247(x70811),x70813),f2(x70811)))+~P23(f333(f333(f247(x70811),x70812),f2(x70811)))+P23(f333(f333(f247(x70811),f2(x70811)),f333(f333(f80(x70811),x70812),x70813))) % 183.16/183.19 [7082]~P60(x70821)+~P23(f333(f333(f247(x70821),x70823),f2(x70821)))+~P23(f333(f333(f247(x70821),x70822),f2(x70821)))+P23(f333(f333(f247(x70821),f2(x70821)),f333(f333(f291(x70821),x70822),x70823))) % 183.16/183.19 [7083]~P61(x70831)+~P23(f333(f333(f248(x70831),x70833),f2(x70831)))+~P23(f333(f333(f247(x70831),x70832),f2(x70831)))+P23(f333(f333(f247(x70831),f2(x70831)),f333(f333(f291(x70831),x70832),x70833))) % 183.16/183.19 [7084]~P120(x70841)+~P23(f333(f333(f248(a875),f2(a875)),x70843))+~P23(f333(f333(f248(x70841),f77(x70841)),x70842))+P23(f333(f333(f248(x70841),f77(x70841)),f333(f333(f258(x70841),x70842),x70843))) % 183.16/183.19 [7180]~P120(x71801)+~P23(f333(f333(f248(x71801),f77(x71801)),x71803))+~P23(f333(f333(f248(x71801),f77(x71801)),x71802))+P23(f333(f333(f248(x71801),f77(x71801)),f333(f333(f80(x71801),x71802),x71803))) % 183.16/183.19 [7181]~P85(x71811)+~P23(f333(f333(f248(x71811),f2(x71811)),x71813))+~P23(f333(f333(f248(x71811),f2(x71811)),x71812))+P23(f333(f333(f248(x71811),f2(x71811)),f333(f333(f79(x71811),x71812),x71813))) % 183.16/183.19 [7184]~P125(x71841)+~P23(f333(f333(f248(x71841),f2(x71841)),x71843))+~P23(f333(f333(f248(x71841),f2(x71841)),x71842))+P23(f333(f333(f248(x71841),f2(x71841)),f333(f333(f80(x71841),x71842),x71843))) % 183.16/183.19 [7185]~P60(x71851)+~P23(f333(f333(f248(x71851),f2(x71851)),x71853))+~P23(f333(f333(f248(x71851),f2(x71851)),x71852))+P23(f333(f333(f248(x71851),f2(x71851)),f333(f333(f291(x71851),x71852),x71853))) % 183.16/183.19 [7186]~P61(x71861)+~P23(f333(f333(f248(x71861),f2(x71861)),x71863))+~P23(f333(f333(f248(x71861),f2(x71861)),x71862))+P23(f333(f333(f248(x71861),f2(x71861)),f333(f333(f291(x71861),x71862),x71863))) % 183.16/183.19 [7188]~P123(x71881)+~P23(f333(f333(f247(x71881),f2(x71881)),x71883))+~P23(f333(f333(f247(x71881),f2(x71881)),x71882))+P23(f333(f333(f247(x71881),f2(x71881)),f333(f333(f80(x71881),x71882),x71883))) % 183.16/183.19 [7189]~P122(x71891)+~P23(f333(f333(f247(x71891),f2(x71891)),x71893))+~P23(f333(f333(f247(x71891),f2(x71891)),x71892))+P23(f333(f333(f247(x71891),f2(x71891)),f333(f333(f80(x71891),x71892),x71893))) % 183.16/183.19 [7190]~P130(x71901)+~P23(f333(f333(f247(x71901),f2(x71901)),x71903))+~P23(f333(f333(f247(x71901),f2(x71901)),x71902))+P23(f333(f333(f247(x71901),f2(x71901)),f333(f333(f80(x71901),x71902),x71903))) % 183.16/183.19 [7191]~P60(x71911)+~P23(f333(f333(f247(x71911),f2(x71911)),x71913))+~P23(f333(f333(f247(x71911),f2(x71911)),x71912))+P23(f333(f333(f247(x71911),f2(x71911)),f333(f333(f291(x71911),x71912),x71913))) % 183.16/183.19 [7192]~P61(x71921)+~P23(f333(f333(f248(x71921),f2(x71921)),x71923))+~P23(f333(f333(f247(x71921),f2(x71921)),x71922))+P23(f333(f333(f247(x71921),f2(x71921)),f333(f333(f291(x71921),x71922),x71923))) % 183.16/183.19 [7263]~P62(x72631)+~P23(f333(f61(x72631),x72633))+E(f13(x72631,f333(f333(f311(x72631),x72632),x72633)),x72632)+~E(f333(f333(f22(f882(x72631,a870)),x72633),f333(f333(f311(x72631),x72632),f196(f882(x72631,a870)))),f196(f882(x72631,a870))) % 183.16/183.19 [7264]~P62(x72641)+~P23(f333(f61(x72641),x72643))+E(f10(x72641,f333(f333(f311(x72641),x72642),x72643)),x72642)+~E(f333(f333(f22(f882(x72641,a870)),x72643),f333(f333(f311(x72641),x72642),f196(f882(x72641,a870)))),f196(f882(x72641,a870))) % 183.16/183.19 [7265]~P106(x72651)+~P23(f333(f61(x72651),x72653))+E(f14(x72651,f333(f333(f311(x72651),x72652),x72653)),x72652)+~E(f333(f333(f22(f882(x72651,a870)),x72653),f333(f333(f311(x72651),x72652),f196(f882(x72651,a870)))),f196(f882(x72651,a870))) % 183.16/183.19 [7266]~P106(x72661)+~P23(f333(f61(x72661),x72663))+E(f15(x72661,f333(f333(f311(x72661),x72662),x72663)),x72662)+~E(f333(f333(f22(f882(x72661,a870)),x72663),f333(f333(f311(x72661),x72662),f196(f882(x72661,a870)))),f196(f882(x72661,a870))) % 183.16/183.19 [7267]~P60(x72671)+P23(f333(f333(f248(x72671),x72672),f2(x72671)))+P23(f333(f333(f248(x72671),f2(x72671)),x72673))+~P23(f333(f333(f248(x72671),f2(x72671)),f333(f333(f291(x72671),x72673),x72672))) % 183.16/183.19 [7268]~P60(x72681)+P23(f333(f333(f248(x72681),x72682),f2(x72681)))+P23(f333(f333(f248(x72681),f2(x72681)),x72683))+~P23(f333(f333(f248(x72681),f2(x72681)),f333(f333(f291(x72681),x72682),x72683))) % 183.16/183.19 [7269]~P60(x72691)+P23(f333(f333(f248(x72691),x72692),f2(x72691)))+P23(f333(f333(f248(x72691),f2(x72691)),x72692))+~P23(f333(f333(f248(x72691),f2(x72691)),f333(f333(f291(x72691),x72693),x72692))) % 183.16/183.19 [7270]~P60(x72701)+P23(f333(f333(f248(x72701),x72702),f2(x72701)))+P23(f333(f333(f248(x72701),f2(x72701)),x72702))+~P23(f333(f333(f248(x72701),f2(x72701)),f333(f333(f291(x72701),x72702),x72703))) % 183.16/183.19 [7271]~P122(x72711)+P23(f333(f333(f247(x72711),x72712),f2(x72711)))+P23(f333(f333(f247(x72711),f2(x72711)),x72713))+~P23(f333(f333(f247(x72711),f2(x72711)),f333(f333(f80(x72711),x72713),x72712))) % 183.16/183.19 [7272]~P122(x72721)+P23(f333(f333(f247(x72721),x72722),f2(x72721)))+P23(f333(f333(f247(x72721),f2(x72721)),x72723))+~P23(f333(f333(f247(x72721),f2(x72721)),f333(f333(f80(x72721),x72722),x72723))) % 183.16/183.19 [7273]~P60(x72731)+P23(f333(f333(f247(x72731),x72732),f2(x72731)))+P23(f333(f333(f247(x72731),f2(x72731)),x72733))+~P23(f333(f333(f247(x72731),f2(x72731)),f333(f333(f291(x72731),x72733),x72732))) % 183.16/183.19 [7274]~P60(x72741)+P23(f333(f333(f247(x72741),x72742),f2(x72741)))+P23(f333(f333(f247(x72741),f2(x72741)),x72743))+~P23(f333(f333(f247(x72741),f2(x72741)),f333(f333(f291(x72741),x72742),x72743))) % 183.16/183.19 [7275]~P122(x72751)+P23(f333(f333(f247(x72751),x72752),f2(x72751)))+P23(f333(f333(f247(x72751),f2(x72751)),x72752))+~P23(f333(f333(f247(x72751),f2(x72751)),f333(f333(f80(x72751),x72753),x72752))) % 183.16/183.19 [7276]~P122(x72761)+P23(f333(f333(f247(x72761),x72762),f2(x72761)))+P23(f333(f333(f247(x72761),f2(x72761)),x72762))+~P23(f333(f333(f247(x72761),f2(x72761)),f333(f333(f80(x72761),x72762),x72763))) % 183.16/183.19 [7277]~P60(x72771)+P23(f333(f333(f247(x72771),x72772),f2(x72771)))+P23(f333(f333(f247(x72771),f2(x72771)),x72772))+~P23(f333(f333(f247(x72771),f2(x72771)),f333(f333(f291(x72771),x72773),x72772))) % 183.16/183.19 [7278]~P60(x72781)+P23(f333(f333(f247(x72781),x72782),f2(x72781)))+P23(f333(f333(f247(x72781),f2(x72781)),x72782))+~P23(f333(f333(f247(x72781),f2(x72781)),f333(f333(f291(x72781),x72782),x72783))) % 183.16/183.19 [7368]~E(f333(f333(f104(f882(x73681,a870)),f333(f174(x73681),x73682)),f333(f174(x73681),x73683)),f196(f882(x73681,a870)))+~P23(f333(f138(x73681),x73683))+~P23(f333(f138(x73681),x73682))+P23(f333(f138(x73681),f333(f333(f135(x73681),x73682),x73683))) % 183.16/183.19 [7369]~P106(x73691)+~P23(f333(f61(x73691),x73693))+E(f11(x73691,f245(x73691),f333(f333(f311(x73691),x73692),x73693)),x73692)+~E(f333(f333(f22(f882(x73691,a870)),x73693),f333(f333(f311(x73691),x73692),f196(f882(x73691,a870)))),f196(f882(x73691,a870))) % 183.16/183.19 [7370]~P106(x73701)+~P23(f333(f61(x73701),x73703))+E(f12(x73701,f246(x73701),f333(f333(f311(x73701),x73702),x73703)),x73702)+~E(f333(f333(f22(f882(x73701,a870)),x73703),f333(f333(f311(x73701),x73702),f196(f882(x73701,a870)))),f196(f882(x73701,a870))) % 183.16/183.19 [7385]~P114(x73851)+~P23(f333(f333(f248(x73851),x73852),x73853))+~P23(f333(f333(f248(x73851),f333(f78(x73851),x73852)),x73853))+P23(f333(f333(f248(x73851),f333(f74(x73851),x73852)),x73853)) % 183.16/183.19 [7387]~P83(x73871)+~P23(f333(f333(f247(x73871),x73872),x73873))+~P23(f333(f333(f247(x73871),f333(f78(x73871),x73872)),x73873))+P23(f333(f333(f247(x73871),f333(f74(x73871),x73872)),x73873)) % 183.16/183.19 [7458]~P125(x74581)+P23(f333(f333(f248(x74581),f2(x74581)),x74582))+~P23(f333(f333(f248(x74581),f2(x74581)),x74583))+~P23(f333(f333(f248(x74581),f2(x74581)),f333(f333(f80(x74581),x74583),x74582))) % 183.16/183.19 [7459]~P125(x74591)+P23(f333(f333(f248(x74591),f2(x74591)),x74592))+~P23(f333(f333(f248(x74591),f2(x74591)),x74593))+~P23(f333(f333(f248(x74591),f2(x74591)),f333(f333(f80(x74591),x74592),x74593))) % 183.16/183.19 [7766]E(x77661,x77662)+~P23(f333(f61(x77663),x77661))+~P23(f333(f333(f247(a875),f333(f37(x77663),x77661)),f333(f37(x77663),x77662)))+~P23(f333(f333(f247(f882(x77663,a870)),x77662),x77661)) % 183.16/183.19 [7910]~P23(f333(f333(f248(a1),x79101),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x79102))+~P23(f333(f333(f247(a1),x79102),x79103))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x79101),x79102)),f333(f333(f38(a1),x79101),x79103))) % 183.16/183.19 [7922]~P23(f333(f333(f248(a1),f2(a1)),x79223))+~P23(f333(f333(f247(a1),f2(a1)),x79221))+~P23(f333(f333(f247(a1),x79223),x79222))+P23(f333(f333(f247(a1),f333(f333(f38(a1),x79221),x79222)),f333(f333(f38(a1),x79221),x79223))) % 183.16/183.19 [8063]E(f333(x80631,f472(x80632,x80631,x80633)),x80632)+~P23(f333(f333(f247(a1),x80632),f333(x80631,x80633)))+P23(f333(f333(f248(a875),f473(x80632,x80631,x80633)),x80633))+~P23(f333(f333(f247(a1),f333(x80631,f2(a875))),x80632)) % 183.16/183.19 [8064]E(f333(x80641,f474(x80642,x80641,x80643)),x80642)+~P23(f333(f333(f247(a1),x80642),f333(x80641,x80643)))+P23(f333(f333(f248(a875),f475(x80642,x80641,x80643)),x80643))+~P23(f333(f333(f247(a1),f333(x80641,f2(a875))),x80642)) % 183.16/183.19 [8168]~P23(f333(f61(x81681),x81683))+~P23(f333(f333(f248(a875),f333(f37(x81681),x81682)),f333(f37(x81681),x81683)))+~P23(f333(f333(f247(f882(x81681,a870)),x81682),x81683))+P23(f333(f333(f248(f882(x81681,a870)),x81682),x81683)) % 183.16/183.19 [8197]E(f333(f333(f79(a1),f419(x81973,x81971,x81972)),f420(x81973,x81971,x81972)),x81971)+E(f333(f333(f22(a1),x81971),x81972),x81971)+~P23(f333(f333(f248(a1),f2(a1)),x81972))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x81971),f77(a1))),x81973)) % 183.16/183.19 [8198]E(f333(f333(f22(a1),f432(x81983,x81981,x81982)),f433(x81983,x81981,x81982)),x81981)+E(f333(f333(f79(a1),x81981),x81982),x81981)+~P23(f333(f333(f248(a1),f2(a1)),x81982))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x81981),f77(a1))),x81983)) % 183.16/183.19 [8251]~P23(f333(f333(f247(a875),x82513),x82511))+P23(f333(f333(f248(a875),x82511),x82512))+~P23(f333(f333(f247(a875),x82513),x82512))+~P23(f333(f333(f248(a875),f333(f333(f22(a875),x82511),x82513)),f333(f333(f22(a875),x82512),x82513))) % 183.16/183.19 [8252]~P23(f333(f333(f247(a875),x82523),x82521))+P23(f333(f333(f247(a875),x82521),x82522))+~P23(f333(f333(f247(a875),x82523),x82522))+~P23(f333(f333(f247(a875),f333(f333(f22(a875),x82521),x82523)),f333(f333(f22(a875),x82522),x82523))) % 183.16/183.19 [8268]~P106(x82682)+E(x82681,f116(x82682))+~P28(x82682,f333(f170(x82682),x82681))+E(f333(f143(x82682,x82682,f333(f7(x82682,x82682,x82682),f246(x82682)),x82683),f333(f170(x82682),x82681)),f333(f333(f246(x82682),f333(f333(f166(x82682),x82681),f2(a875))),x82683)) % 183.16/183.19 [8334]E(f333(f333(f22(a1),x83341),x83342),x83341)+~P23(f333(f333(f248(a1),f2(a1)),x83342))+P23(f333(f333(f335(a1),f419(x83343,x83341,x83342)),x83343))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x83341),f77(a1))),x83343)) % 183.16/183.19 [8335]E(f333(f333(f79(a1),x83351),x83352),x83351)+~P23(f333(f333(f248(a1),f2(a1)),x83352))+P23(f333(f333(f335(a1),f432(x83353,x83351,x83352)),x83353))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x83351),f77(a1))),x83353)) % 183.16/183.19 [8411]~P23(f333(f333(f247(a1),x84111),f333(x84112,x84113)))+P23(f333(f333(f247(a875),f472(x84111,x84112,x84113)),x84113))+P23(f333(f333(f248(a875),f473(x84111,x84112,x84113)),x84113))+~P23(f333(f333(f247(a1),f333(x84112,f2(a875))),x84111)) % 183.16/183.19 [8412]~P23(f333(f333(f247(a1),x84121),f333(x84122,x84123)))+P23(f333(f333(f247(a875),f474(x84121,x84122,x84123)),x84123))+P23(f333(f333(f248(a875),f475(x84121,x84122,x84123)),x84123))+~P23(f333(f333(f247(a1),f333(x84122,f2(a875))),x84121)) % 183.16/183.19 [8490]E(f333(f333(f22(a1),x84901),x84902),x84901)+~P23(f333(f333(f248(a1),f2(a1)),x84902))+P23(f333(f333(f335(a1),f420(x84903,x84901,x84902)),f304(a1,f77(a1),x84902)))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x84901),f77(a1))),x84903)) % 183.16/183.19 [8491]E(f333(f333(f79(a1),x84911),x84912),x84911)+~P23(f333(f333(f248(a1),f2(a1)),x84912))+P23(f333(f333(f335(a1),f433(x84913,x84911,x84912)),f304(a1,f77(a1),x84912)))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x84911),f77(a1))),x84913)) % 183.16/183.19 [8619]~P120(x86191)+~P23(f333(f333(f248(x86191),x86192),f77(x86191)))+~P23(f333(f333(f248(x86191),f2(x86191)),x86192))+P23(f333(f333(f248(x86191),f333(f333(f80(x86191),x86192),f333(f333(f258(x86191),x86192),x86193))),f333(f333(f258(x86191),x86192),x86193))) % 183.16/183.19 [8702]~P23(f333(x87021,x87022))+P23(f333(x87021,f2(a875)))+~P23(f333(f333(f248(a875),x87022),x87023))+~P23(f333(x87021,f44(a875,f333(a115,f522(x87022,x87021,x87023)),x87023))) % 183.16/183.19 [8841]E(f551(x88411,x88412,x88413),f2(a875))+P23(f333(f333(x88411,x88413),x88412))+P23(f333(f333(x88411,f551(x88411,x88412,x88413)),f44(a875,f550(x88411,x88412,x88413),f551(x88411,x88412,x88413))))+~P23(f333(f321(f881(a875,a875),a231),f333(f333(f268(a875,a875),x88413),x88412))) % 183.16/183.19 [8879]~P20(x88791,x88791,x88792,x88793)+E(f333(f312(x88791,x88791,x88792),x88793),x88793)+~P23(f333(f61(x88791),x88793))+~P23(f333(f333(f247(f882(x88791,a870)),f333(f312(x88791,x88791,x88792),x88793)),x88793)) % 183.16/183.19 [9121]P23(f333(f333(x91211,x91212),x91213))+~P23(f333(f333(f248(a1),f548(x91211,x91213,x91212)),f2(a1)))+P23(f333(f333(x91211,f333(f78(a1),f547(x91211,x91213,x91212))),f333(f78(a1),f548(x91211,x91213,x91212))))+~P23(f333(f321(f881(a1,a1),a236),f333(f333(f268(a1,a1),x91212),x91213))) % 183.16/183.19 [9308]P23(f333(f333(x93081,x93082),x93083))+P23(f333(f333(x93081,f333(f333(f79(a1),f694(x93081,x93083,x93082)),f77(a1))),f696(x93081,x93083,x93082)))+~P23(f333(f333(f247(a1),f694(x93081,x93083,x93082)),f696(x93081,x93083,x93082)))+~P23(f333(f321(f881(a1,a1),a185),f333(f333(f268(a1,a1),x93082),x93083))) % 183.16/183.19 [9732]~P57(x97322)+~P57(x97321)+~P23(f333(f58(f881(x97321,x97322)),x97323))+P23(f333(f58(x97321),f333(f333(f8(f882(x97322,a870),a870,x97321),f58(x97322)),f333(f333(f8(f882(x97322,f881(x97321,x97322)),f882(x97322,a870),x97321),f333(f8(f881(x97321,x97322),a870,x97322),x97323)),f268(x97321,x97322))))) % 183.16/183.19 [9733]~P57(x97332)+~P57(x97331)+~P23(f333(f57(f881(x97331,x97332)),x97333))+P23(f333(f57(x97331),f333(f333(f8(f882(x97332,a870),a870,x97331),f57(x97332)),f333(f333(f8(f882(x97332,f881(x97331,x97332)),f882(x97332,a870),x97331),f333(f8(f881(x97331,x97332),a870,x97332),x97333)),f268(x97331,x97332))))) % 183.16/183.19 [9835]~P57(x98352)+~P57(x98351)+P23(f333(f58(f881(x98351,x98352)),x98353))+~P23(f333(f58(x98351),f333(f333(f8(f882(x98352,a870),a870,x98351),f58(x98352)),f333(f333(f8(f882(x98352,f881(x98351,x98352)),f882(x98352,a870),x98351),f333(f8(f881(x98351,x98352),a870,x98352),x98353)),f268(x98351,x98352))))) % 183.16/183.19 [9836]~P57(x98362)+~P57(x98361)+P23(f333(f57(f881(x98361,x98362)),x98363))+~P23(f333(f57(x98361),f333(f333(f8(f882(x98362,a870),a870,x98361),f57(x98362)),f333(f333(f8(f882(x98362,f881(x98361,x98362)),f882(x98362,a870),x98361),f333(f8(f881(x98361,x98362),a870,x98362),x98363)),f268(x98361,x98362))))) % 183.16/183.19 [10005]E(f333(x100051,f472(x100052,x100051,x100053)),x100052)+~P23(f333(f333(f247(a1),x100052),f333(x100051,x100053)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x100051,f333(f333(f79(a875),f473(x100052,x100051,x100053)),f77(a875)))),f333(x100051,f473(x100052,x100051,x100053))))),f77(a1)))+~P23(f333(f333(f247(a1),f333(x100051,f2(a875))),x100052)) % 183.16/183.19 [10006]E(f333(x100061,f474(x100062,x100061,x100063)),x100062)+~P23(f333(f333(f247(a1),x100062),f333(x100061,x100063)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x100061,f333(f333(f79(a875),f475(x100062,x100061,x100063)),f77(a875)))),f333(x100061,f475(x100062,x100061,x100063))))),f77(a1)))+~P23(f333(f333(f247(a1),f333(x100061,f2(a875))),x100062)) % 183.16/183.19 [10010]~P23(f333(f333(f247(a1),x100101),f333(x100102,x100103)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x100102,f333(f333(f79(a875),f473(x100101,x100102,x100103)),f77(a875)))),f333(x100102,f473(x100101,x100102,x100103))))),f77(a1)))+P23(f333(f333(f247(a875),f472(x100101,x100102,x100103)),x100103))+~P23(f333(f333(f247(a1),f333(x100102,f2(a875))),x100101)) % 183.16/183.19 [10011]~P23(f333(f333(f247(a1),x100111),f333(x100112,x100113)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x100112,f333(f333(f79(a875),f475(x100111,x100112,x100113)),f77(a875)))),f333(x100112,f475(x100111,x100112,x100113))))),f77(a1)))+P23(f333(f333(f247(a875),f474(x100111,x100112,x100113)),x100113))+~P23(f333(f333(f247(a1),f333(x100112,f2(a875))),x100111)) % 183.16/183.19 [10067]E(x100671,x100672)+~E(f333(f143(f876(x100673),f876(x100673),f135(x100673),f116(x100673)),x100671),f333(f143(f876(x100673),f876(x100673),f135(x100673),f116(x100673)),x100672))+~E(f333(f197(f876(f876(x100673))),x100671),f333(f197(f876(f876(x100673))),x100672))+~P23(f333(f333(f272(f876(x100673),f876(x100673),a870),f333(f333(f7(f876(x100673),f882(f876(x100673),a875),f882(f876(x100673),a870)),f333(f333(f8(f882(a875,a870),f882(f882(f876(x100673),a875),f882(f876(x100673),a870)),f876(x100673)),f8(a875,a870,f876(x100673))),f333(f333(f8(a875,f882(a875,a870),f876(x100673)),a330),f197(f876(x100673))))),f197(f876(x100673)))),f740(x100672,x100671,x100673))) % 183.16/183.19 [10068]E(x100681,x100682)+~E(f333(f143(f876(x100683),f876(x100683),f135(x100683),f116(x100683)),x100681),f333(f143(f876(x100683),f876(x100683),f135(x100683),f116(x100683)),x100682))+~E(f333(f197(f876(f876(x100683))),x100681),f333(f197(f876(f876(x100683))),x100682))+~P23(f333(f333(f272(f876(x100683),f876(x100683),a870),f333(f333(f7(f876(x100683),f882(f876(x100683),a875),f882(f876(x100683),a870)),f333(f333(f8(f882(a875,a870),f882(f882(f876(x100683),a875),f882(f876(x100683),a870)),f876(x100683)),f8(a875,a870,f876(x100683))),f333(f333(f8(a875,f882(a875,a870),f876(x100683)),a330),f197(f876(x100683))))),f197(f876(x100683)))),f741(x100681,x100682,x100683))) % 183.16/183.19 [6784]~E(f77(a875),f2(a875))+~P23(f333(f61(x67841),x67843))+~P23(f333(f61(x67841),x67842))+E(f333(f333(f79(a875),f333(f37(x67841),x67842)),f333(f37(x67841),x67843)),f333(f37(x67841),f333(f333(f113(f882(x67841,a870)),x67842),x67843))) % 183.16/183.19 [7199]~P99(x71991)+~P23(f333(f61(x71991),x71992))+~P23(f333(f333(f335(x71991),x71993),x71992))+P23(f333(f333(f247(x71991),f333(f63(x71991,f104(x71991)),x71992)),x71993)) % 183.16/183.19 [7200]~P106(x72001)+~P23(f333(f61(x72001),x72002))+~P23(f333(f333(f335(x72001),x72003),x72002))+P23(f333(f333(f247(x72001),f333(f63(x72001,f245(x72001)),x72002)),x72003)) % 183.16/183.19 [7452]~P23(f333(f61(x74521),x74523))+~P23(f333(f61(x74521),x74522))+~E(f333(f333(f104(f882(x74521,a870)),x74522),x74523),f196(f882(x74521,a870)))+E(f333(f333(f79(a875),f333(f37(x74521),x74522)),f333(f37(x74521),x74523)),f333(f37(x74521),f333(f333(f113(f882(x74521,a870)),x74522),x74523))) % 183.16/183.19 [8257]~P37(x82571,x82573)+~P37(x82571,x82572)+~E(f333(f333(f104(f882(x82571,a870)),f333(f266(x82571,x82571),x82572)),f333(f264(x82571,x82571),x82573)),f196(f882(x82571,a870)))+P37(x82571,f333(f333(f113(f882(f881(x82571,x82571),a870)),x82572),x82573)) % 183.16/183.19 [8349]E(x83491,f333(f333(f38(a875),x83492),x83493))+~P23(f333(f333(f248(a875),f2(a875)),x83493))+~P23(f333(f333(f248(a875),x83492),f333(f333(f80(a875),x83493),f333(a115,x83491))))+~P23(f333(f333(f247(a875),f333(f333(f80(a875),x83493),x83491)),x83492)) % 183.16/183.19 [8488]~P23(f333(f61(x84881),x84882))+~P23(f333(f61(x84881),x84883))+E(f333(f333(f79(a875),f333(f37(x84881),x84882)),f333(f37(x84881),x84883)),f333(f37(x84881),f333(f333(f113(f882(x84881,a870)),x84882),x84883)))+P23(f333(f333(f335(x84881),f369(x84883,x84882,x84881)),f333(f333(f104(f882(x84881,a870)),x84882),x84883))) % 183.16/183.19 [8853]~P122(x88532)+~E(x88531,f2(x88532))+~E(x88533,f2(x88532))+~P23(f333(f333(f248(x88532),f2(x88532)),f333(f333(f79(x88532),f333(f333(f80(x88532),x88533),x88533)),f333(f333(f80(x88532),x88531),x88531)))) % 183.16/183.19 [9388]~P37(x93881,x93883)+~P37(x93881,x93882)+P37(x93881,f333(f333(f113(f882(f881(x93881,x93881),a870)),x93882),x93883))+~P23(f333(f333(f247(f882(f881(x93881,x93881),a870)),f333(f333(f290(x93881,x93881,x93881),x93882),x93883)),x93882)) % 183.16/183.19 [9513]~P23(f333(x95131,x95133))+~P23(f333(f61(x95132),x95133))+P23(f333(x95131,f196(f882(x95132,a870))))+~P23(f333(x95131,f333(f333(f22(f882(x95132,a870)),f615(x95131,x95133,x95132)),f333(f333(f311(x95132),f616(x95131,x95133,x95132)),f196(f882(x95132,a870)))))) % 183.16/183.19 [9762]~P57(x97621)+~P57(x97622)+P6(x97621,f333(f333(f8(f882(x97622,x97621),a870,f876(x97621)),x97623),f333(f333(f8(f882(x97622,f879(x97621)),f882(x97622,x97621),f876(x97621)),f72(f879(x97621),x97621,x97622,f244(x97621))),f333(f333(f8(f876(f881(x97622,x97621)),f882(x97622,f879(x97621)),f876(x97621)),f180(x97622,x97621)),f333(f184(x97622,x97621),f55(x97622))))),f333(f197(f876(x97622)),f55(x97622)))+~P23(f333(f57(f882(x97622,x97621)),x97623)) % 183.16/183.19 [9763]~P57(x97631)+~P57(x97632)+P7(x97631,f333(f333(f8(f882(x97632,x97631),a870,f876(x97631)),x97633),f333(f333(f8(f882(x97632,f879(x97631)),f882(x97632,x97631),f876(x97631)),f72(f879(x97631),x97631,x97632,f244(x97631))),f333(f333(f8(f876(f881(x97632,x97631)),f882(x97632,f879(x97631)),f876(x97631)),f180(x97632,x97631)),f333(f184(x97632,x97631),f55(x97632))))),f333(f197(f876(x97632)),f55(x97632)))+~P23(f333(f58(f882(x97632,x97631)),x97633)) % 183.16/183.19 [9859]~P57(x98591)+~P57(x98592)+~P7(x98592,f333(f333(f8(f882(x98591,x98592),a870,f876(x98592)),x98593),f333(f333(f8(f882(x98591,f879(x98592)),f882(x98591,x98592),f876(x98592)),f72(f879(x98592),x98592,x98591,f244(x98592))),f333(f333(f8(f876(f881(x98591,x98592)),f882(x98591,f879(x98592)),f876(x98592)),f180(x98591,x98592)),f333(f184(x98591,x98592),f55(x98591))))),f333(f197(f876(x98591)),f55(x98591)))+P23(f333(f58(f882(x98591,x98592)),x98593)) % 183.16/183.19 [9860]~P57(x98601)+~P57(x98602)+~P6(x98602,f333(f333(f8(f882(x98601,x98602),a870,f876(x98602)),x98603),f333(f333(f8(f882(x98601,f879(x98602)),f882(x98601,x98602),f876(x98602)),f72(f879(x98602),x98602,x98601,f244(x98602))),f333(f333(f8(f876(f881(x98601,x98602)),f882(x98601,f879(x98602)),f876(x98602)),f180(x98601,x98602)),f333(f184(x98601,x98602),f55(x98601))))),f333(f197(f876(x98601)),f55(x98601)))+P23(f333(f57(f882(x98601,x98602)),x98603)) % 183.16/183.19 [8654]~P23(f333(f333(f248(a1),f2(a1)),x86543))+P23(f333(f333(f247(a1),f2(a1)),x86541))+~P23(f333(f333(f248(a1),x86542),x86543))+~P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),f333(f333(f80(a1),x86543),x86541)),x86542))) % 183.16/183.19 [8676]~P62(x86761)+~P23(f333(f61(x86761),x86762))+E(f333(f333(f22(f882(x86761,a870)),x86762),f333(f333(f311(x86761),x86763),f196(f882(x86761,a870)))),f196(f882(x86761,a870)))+E(f333(f333(f113(x86761),x86763),f13(x86761,f333(f333(f22(f882(x86761,a870)),x86762),f333(f333(f311(x86761),x86763),f196(f882(x86761,a870)))))),f13(x86761,f333(f333(f311(x86761),x86763),x86762))) % 183.16/183.19 [8677]~P62(x86771)+~P23(f333(f61(x86771),x86772))+E(f333(f333(f22(f882(x86771,a870)),x86772),f333(f333(f311(x86771),x86773),f196(f882(x86771,a870)))),f196(f882(x86771,a870)))+E(f333(f333(f104(x86771),x86773),f10(x86771,f333(f333(f22(f882(x86771,a870)),x86772),f333(f333(f311(x86771),x86773),f196(f882(x86771,a870)))))),f10(x86771,f333(f333(f311(x86771),x86773),x86772))) % 183.16/183.19 [8678]~P106(x86781)+~P23(f333(f61(x86781),x86782))+E(f333(f333(f22(f882(x86781,a870)),x86782),f333(f333(f311(x86781),x86783),f196(f882(x86781,a870)))),f196(f882(x86781,a870)))+E(f333(f333(f245(x86781),x86783),f14(x86781,f333(f333(f22(f882(x86781,a870)),x86782),f333(f333(f311(x86781),x86783),f196(f882(x86781,a870)))))),f14(x86781,f333(f333(f311(x86781),x86783),x86782))) % 183.16/183.19 [8679]~P106(x86791)+~P23(f333(f61(x86791),x86792))+E(f333(f333(f22(f882(x86791,a870)),x86792),f333(f333(f311(x86791),x86793),f196(f882(x86791,a870)))),f196(f882(x86791,a870)))+E(f333(f333(f246(x86791),x86793),f15(x86791,f333(f333(f22(f882(x86791,a870)),x86792),f333(f333(f311(x86791),x86793),f196(f882(x86791,a870)))))),f15(x86791,f333(f333(f311(x86791),x86793),x86792))) % 183.16/183.19 [8743]~P106(x87431)+~P23(f333(f61(x87431),x87432))+E(f333(f333(f22(f882(x87431,a870)),x87432),f333(f333(f311(x87431),x87433),f196(f882(x87431,a870)))),f196(f882(x87431,a870)))+E(f333(f333(f245(x87431),x87433),f11(x87431,f245(x87431),f333(f333(f22(f882(x87431,a870)),x87432),f333(f333(f311(x87431),x87433),f196(f882(x87431,a870)))))),f11(x87431,f245(x87431),f333(f333(f311(x87431),x87433),x87432))) % 183.16/183.19 [8744]~P106(x87441)+~P23(f333(f61(x87441),x87442))+E(f333(f333(f22(f882(x87441,a870)),x87442),f333(f333(f311(x87441),x87443),f196(f882(x87441,a870)))),f196(f882(x87441,a870)))+E(f333(f333(f246(x87441),x87443),f12(x87441,f246(x87441),f333(f333(f22(f882(x87441,a870)),x87442),f333(f333(f311(x87441),x87443),f196(f882(x87441,a870)))))),f12(x87441,f246(x87441),f333(f333(f311(x87441),x87443),x87442))) % 183.16/183.19 [9328]E(x93281,x93282)+~E(f333(f143(f876(x93283),f876(x93283),f135(x93283),f116(x93283)),x93281),f333(f143(f876(x93283),f876(x93283),f135(x93283),f116(x93283)),x93282))+~E(f333(f197(f876(f876(x93283))),x93281),f333(f197(f876(f876(x93283))),x93282))+P23(f333(f333(f335(f881(f876(x93283),f876(x93283))),f740(x93282,x93281,x93283)),f333(f174(f881(f876(x93283),f876(x93283))),f333(f333(f184(f876(x93283),f876(x93283)),x93281),x93282)))) % 183.16/183.19 [9329]E(x93291,x93292)+~E(f333(f143(f876(x93293),f876(x93293),f135(x93293),f116(x93293)),x93291),f333(f143(f876(x93293),f876(x93293),f135(x93293),f116(x93293)),x93292))+~E(f333(f197(f876(f876(x93293))),x93291),f333(f197(f876(f876(x93293))),x93292))+P23(f333(f333(f335(f881(f876(x93293),f876(x93293))),f741(x93291,x93292,x93293)),f333(f174(f881(f876(x93293),f876(x93293))),f333(f333(f184(f876(x93293),f876(x93293)),x93292),x93291)))) % 183.16/183.19 [10152]~P96(x101522)+E(x101521,f196(f882(x101522,a870)))+~P23(f333(f61(x101522),x101521))+E(f10(x101522,f333(f253(x101522),f333(f333(f8(f882(x101522,a870),a870,x101522),f86(x101522)),f333(f333(f7(x101522,f882(x101522,a870),f882(x101522,a870)),f333(f333(f8(f882(x101522,f882(a870,a870)),f882(f882(x101522,a870),f882(x101522,a870)),x101522),f18(x101522,a870,a870)),f333(f333(f8(f882(x101522,a870),f882(x101522,f882(a870,a870)),x101522),f333(f8(a870,f882(a870,a870),x101522),a331)),f333(f333(f7(x101522,f882(x101522,x101522),f882(x101522,a870)),f333(f333(f8(f882(x101522,a870),f882(f882(x101522,x101522),f882(x101522,a870)),x101522),f8(x101522,a870,x101522)),a330)),f333(f113(x101522),x101523))))),f333(f333(f7(x101522,f882(x101522,a870),a870),f335(x101522)),x101521))))),f333(f333(f113(x101522),x101523),f10(x101522,x101521))) % 183.16/183.19 [10153]~P96(x101532)+E(x101531,f196(f882(x101532,a870)))+~P23(f333(f61(x101532),x101531))+E(f13(x101532,f333(f253(x101532),f333(f333(f8(f882(x101532,a870),a870,x101532),f86(x101532)),f333(f333(f7(x101532,f882(x101532,a870),f882(x101532,a870)),f333(f333(f8(f882(x101532,f882(a870,a870)),f882(f882(x101532,a870),f882(x101532,a870)),x101532),f18(x101532,a870,a870)),f333(f333(f8(f882(x101532,a870),f882(x101532,f882(a870,a870)),x101532),f333(f8(a870,f882(a870,a870),x101532),a331)),f333(f333(f7(x101532,f882(x101532,x101532),f882(x101532,a870)),f333(f333(f8(f882(x101532,a870),f882(f882(x101532,x101532),f882(x101532,a870)),x101532),f8(x101532,a870,x101532)),a330)),f333(f104(x101532),x101533))))),f333(f333(f7(x101532,f882(x101532,a870),a870),f335(x101532)),x101531))))),f333(f333(f104(x101532),x101533),f13(x101532,x101531))) % 183.16/183.19 [10154]~P75(x101542)+E(x101541,f196(f882(x101542,a870)))+~P23(f333(f61(x101542),x101541))+E(f14(x101542,f333(f253(x101542),f333(f333(f8(f882(x101542,a870),a870,x101542),f86(x101542)),f333(f333(f7(x101542,f882(x101542,a870),f882(x101542,a870)),f333(f333(f8(f882(x101542,f882(a870,a870)),f882(f882(x101542,a870),f882(x101542,a870)),x101542),f18(x101542,a870,a870)),f333(f333(f8(f882(x101542,a870),f882(x101542,f882(a870,a870)),x101542),f333(f8(a870,f882(a870,a870),x101542),a331)),f333(f333(f7(x101542,f882(x101542,x101542),f882(x101542,a870)),f333(f333(f8(f882(x101542,a870),f882(f882(x101542,x101542),f882(x101542,a870)),x101542),f8(x101542,a870,x101542)),a330)),f333(f79(x101542),x101543))))),f333(f333(f7(x101542,f882(x101542,a870),a870),f335(x101542)),x101541))))),f333(f333(f79(x101542),x101543),f14(x101542,x101541))) % 183.16/183.19 [10155]~P75(x101552)+E(x101551,f196(f882(x101552,a870)))+~P23(f333(f61(x101552),x101551))+E(f15(x101552,f333(f253(x101552),f333(f333(f8(f882(x101552,a870),a870,x101552),f86(x101552)),f333(f333(f7(x101552,f882(x101552,a870),f882(x101552,a870)),f333(f333(f8(f882(x101552,f882(a870,a870)),f882(f882(x101552,a870),f882(x101552,a870)),x101552),f18(x101552,a870,a870)),f333(f333(f8(f882(x101552,a870),f882(x101552,f882(a870,a870)),x101552),f333(f8(a870,f882(a870,a870),x101552),a331)),f333(f333(f7(x101552,f882(x101552,x101552),f882(x101552,a870)),f333(f333(f8(f882(x101552,a870),f882(f882(x101552,x101552),f882(x101552,a870)),x101552),f8(x101552,a870,x101552)),a330)),f333(f79(x101552),x101553))))),f333(f333(f7(x101552,f882(x101552,a870),a870),f335(x101552)),x101551))))),f333(f333(f79(x101552),x101553),f15(x101552,x101551))) % 183.16/183.19 [10156]~P106(x101562)+E(x101561,f196(f882(x101562,a870)))+~P23(f333(f61(x101562),x101561))+E(f12(x101562,f246(x101562),f333(f253(x101562),f333(f333(f8(f882(x101562,a870),a870,x101562),f86(x101562)),f333(f333(f7(x101562,f882(x101562,a870),f882(x101562,a870)),f333(f333(f8(f882(x101562,f882(a870,a870)),f882(f882(x101562,a870),f882(x101562,a870)),x101562),f18(x101562,a870,a870)),f333(f333(f8(f882(x101562,a870),f882(x101562,f882(a870,a870)),x101562),f333(f8(a870,f882(a870,a870),x101562),a331)),f333(f333(f7(x101562,f882(x101562,x101562),f882(x101562,a870)),f333(f333(f8(f882(x101562,a870),f882(f882(x101562,x101562),f882(x101562,a870)),x101562),f8(x101562,a870,x101562)),a330)),f333(f245(x101562),x101563))))),f333(f333(f7(x101562,f882(x101562,a870),a870),f335(x101562)),x101561))))),f333(f333(f245(x101562),x101563),f12(x101562,f246(x101562),x101561))) % 183.16/183.19 [10157]~P106(x101572)+E(x101571,f196(f882(x101572,a870)))+~P23(f333(f61(x101572),x101571))+E(f11(x101572,f245(x101572),f333(f253(x101572),f333(f333(f8(f882(x101572,a870),a870,x101572),f86(x101572)),f333(f333(f7(x101572,f882(x101572,a870),f882(x101572,a870)),f333(f333(f8(f882(x101572,f882(a870,a870)),f882(f882(x101572,a870),f882(x101572,a870)),x101572),f18(x101572,a870,a870)),f333(f333(f8(f882(x101572,a870),f882(x101572,f882(a870,a870)),x101572),f333(f8(a870,f882(a870,a870),x101572),a331)),f333(f333(f7(x101572,f882(x101572,x101572),f882(x101572,a870)),f333(f333(f8(f882(x101572,a870),f882(f882(x101572,x101572),f882(x101572,a870)),x101572),f8(x101572,a870,x101572)),a330)),f333(f246(x101572),x101573))))),f333(f333(f7(x101572,f882(x101572,a870),a870),f335(x101572)),x101571))))),f333(f333(f246(x101572),x101573),f11(x101572,f245(x101572),x101571))) % 183.16/183.19 [9909]~P114(x99091)+~E(x99093,f2(x99091))+~E(x99092,f2(x99091))+E(f333(f333(f79(x99091),f333(f333(f258(x99091),x99092),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x99091),x99093),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f2(x99091)) % 183.16/183.19 [10052]~P120(x100521)+~P23(f333(f333(f247(x100521),f2(x100521)),x100523))+P23(f333(f333(f247(x100521),x100522),x100523))+~P23(f333(f333(f247(x100521),f333(f333(f258(x100521),x100522),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x100521),x100523),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))))) % 183.16/183.19 [10098]~P114(x100982)+~E(x100981,f2(x100982))+~E(x100983,f2(x100982))+~P23(f333(f333(f248(x100982),f2(x100982)),f333(f333(f79(x100982),f333(f333(f258(x100982),x100983),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))),f333(f333(f258(x100982),x100981),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))))) % 183.16/183.19 [9290]E(x92901,x92902)+~E(f676(x92901,x92902,x92904,x92903),f677(x92901,x92902,x92904,x92903))+P23(f333(f333(f335(f881(f876(x92903),f876(x92903))),f333(f333(f268(f876(x92903),f876(x92903)),x92902),x92901)),f148(x92903,x92904)))+P23(f333(f333(f335(f881(f876(x92903),f876(x92903))),f333(f333(f268(f876(x92903),f876(x92903)),x92901),x92902)),f148(x92903,x92904))) % 183.16/183.19 [4857]~P58(x48572)+~E(x48574,f2(x48572))+~E(x48571,f2(x48572))+E(x48571,f333(f333(f291(x48572),x48573),x48574)) % 183.16/183.19 [4858]~P58(x48581)+~E(x48583,f2(x48581))+~E(x48584,f2(x48581))+E(f333(f333(f291(x48581),x48582),x48583),x48584) % 183.16/183.19 [4968]~P58(x49682)+E(x49681,f2(x49682))+~E(x49683,f2(x49682))+~E(x49681,f333(f333(f291(x49682),x49684),x49683)) % 183.16/183.19 [4969]~P58(x49692)+E(x49691,f2(x49692))+~E(x49693,f2(x49692))+~E(f333(f333(f291(x49692),x49694),x49693),x49691) % 183.16/183.19 [5144]~P117(x51442)+E(x51441,f2(x51442))+~E(f333(f333(f291(x51442),x51443),x51441),x51444)+E(x51443,f333(f333(f80(x51442),x51444),x51441)) % 183.16/183.19 [5146]~P117(x51462)+E(x51461,f2(x51462))+~E(f333(f333(f80(x51462),x51463),x51461),x51464)+E(x51463,f333(f333(f291(x51462),x51464),x51461)) % 183.16/183.19 [5147]~P58(x51472)+E(x51471,f2(x51472))+~E(f333(f333(f291(x51472),x51473),x51471),x51474)+E(x51473,f333(f333(f80(x51472),x51474),x51471)) % 183.16/183.19 [5148]~P58(x51482)+E(x51481,f2(x51482))+~E(f333(f333(f80(x51482),x51483),x51481),x51484)+E(x51483,f333(f333(f291(x51482),x51484),x51481)) % 183.16/183.19 [5149]~P117(x51492)+E(x51491,f2(x51492))+~E(x51493,f333(f333(f291(x51492),x51494),x51491))+E(f333(f333(f80(x51492),x51493),x51491),x51494) % 183.16/183.19 [5151]~P117(x51512)+E(x51511,f2(x51512))+~E(x51513,f333(f333(f80(x51512),x51514),x51511))+E(f333(f333(f291(x51512),x51513),x51511),x51514) % 183.16/183.19 [5152]~P58(x51522)+E(x51521,f2(x51522))+~E(x51523,f333(f333(f291(x51522),x51524),x51521))+E(f333(f333(f80(x51522),x51523),x51521),x51524) % 183.16/183.19 [5153]~P58(x51532)+E(x51531,f2(x51532))+~E(x51533,f333(f333(f80(x51532),x51534),x51531))+E(f333(f333(f291(x51532),x51533),x51531),x51534) % 183.16/183.19 [5178]~P58(x51782)+~E(x51781,f2(x51782))+~E(f333(f333(f80(x51782),x51781),x51784),x51783)+E(x51781,f333(f333(f291(x51782),x51783),x51784)) % 183.16/183.19 [5179]~P58(x51791)+~E(x51794,f2(x51791))+~E(x51792,f333(f333(f80(x51791),x51794),x51793))+E(f333(f333(f291(x51791),x51792),x51793),x51794) % 183.16/183.19 [5252]~E(x52523,x52524)+~E(x52522,x52523)+~P108(x52521)+E(f304(x52521,x52522,x52523),f333(f333(f311(x52521),x52524),f196(f882(x52521,a870)))) % 183.16/183.19 [5458]~E(f117(x54582,x54581),x54583)+~E(f145(x54582,x54581),x54584)+E(x54581,f116(x54582))+E(f333(f333(f135(x54582),x54583),f333(f333(f152(x54582),x54584),f116(x54582))),x54581) % 183.16/183.19 [6072]~P120(x60723)+E(x60721,x60722)+~E(f333(f333(f258(x60723),x60724),x60721),f333(f333(f258(x60723),x60724),x60722))+~P23(f333(f333(f248(x60723),f77(x60723)),x60724)) % 183.16/183.19 [6073]E(x60731,x60732)+~E(f333(f333(f311(x60733),x60734),x60731),f333(f333(f311(x60733),x60734),x60732))+P23(f333(f333(f335(x60733),x60734),x60732))+P23(f333(f333(f335(x60733),x60734),x60731)) % 183.16/183.19 [6111]E(f333(x61111,x61112),f77(a875))+~E(f333(f333(f9(x61113,a875),x61111),x61114),f77(a875))+~P23(f333(f61(x61113),x61114))+~P23(f333(f333(f335(x61113),x61112),x61114)) % 183.16/183.19 [6112]E(f333(x61121,x61122),f2(a875))+~E(f333(f333(f6(x61123,a875),x61121),x61124),f2(a875))+~P23(f333(f61(x61123),x61124))+~P23(f333(f333(f335(x61123),x61122),x61124)) % 183.16/183.19 [6327]~P108(x63271)+~P23(f333(f333(f248(x63271),x63274),x63273))+P23(f333(f333(f248(x63271),x63272),x63273))+~P23(f333(f333(f248(x63271),x63272),x63274)) % 183.16/183.19 [6328]~P108(x63281)+~P23(f333(f333(f247(x63281),x63284),x63283))+P23(f333(f333(f248(x63281),x63282),x63283))+~P23(f333(f333(f248(x63281),x63282),x63284)) % 183.16/183.19 [6329]~P108(x63291)+~P23(f333(f333(f247(x63291),x63292),x63294))+P23(f333(f333(f248(x63291),x63292),x63293))+~P23(f333(f333(f248(x63291),x63294),x63293)) % 183.16/183.19 [6330]~P105(x63301)+~P23(f333(f333(f248(x63301),x63302),x63304))+P23(f333(f333(f248(x63301),x63302),x63303))+~P23(f333(f333(f248(x63301),x63304),x63303)) % 183.16/183.19 [6331]~P105(x63311)+~P23(f333(f333(f247(x63311),x63312),x63314))+P23(f333(f333(f248(x63311),x63312),x63313))+~P23(f333(f333(f248(x63311),x63314),x63313)) % 183.16/183.19 [6332]~P105(x63321)+~P23(f333(f333(f247(x63321),x63324),x63323))+P23(f333(f333(f248(x63321),x63322),x63323))+~P23(f333(f333(f248(x63321),x63322),x63324)) % 183.16/183.19 [6333]~P108(x63331)+~P23(f333(f333(f247(x63331),x63334),x63333))+P23(f333(f333(f247(x63331),x63332),x63333))+~P23(f333(f333(f247(x63331),x63332),x63334)) % 183.16/183.19 [6334]~P105(x63341)+~P23(f333(f333(f247(x63341),x63342),x63344))+P23(f333(f333(f247(x63341),x63342),x63343))+~P23(f333(f333(f247(x63341),x63344),x63343)) % 183.16/183.19 [6415]~P35(x64154,x64153,x64152)+E(x64151,f806(x64152,x64153,x64154))+~P23(f333(x64153,x64151))+~P23(f333(f333(f335(x64154),x64151),f333(f174(x64154),x64152))) % 183.16/183.19 [6559]~P26(x65591)+~P23(f333(f333(f247(x65591),x65592),f40(x65591,x65594)))+P23(f333(f333(f247(x65591),x65592),x65593))+~P23(f333(f333(f335(x65591),x65593),x65594)) % 183.16/183.19 [6705]~P106(x67051)+~P28(x67051,f333(f333(f152(x67051),x67052),x67054))+~P23(f333(f333(f335(x67051),x67053),f333(f174(x67051),x67054)))+P23(f333(f333(f247(x67051),x67052),x67053)) % 183.16/183.19 [6795]~P26(x67951)+~P23(f333(f333(f247(x67951),f39(x67951,x67954)),x67953))+P23(f333(f333(f247(x67951),x67952),x67953))+~P23(f333(f333(f335(x67951),x67952),x67954)) % 183.16/183.19 [7202]~P106(x72021)+E(f333(f333(f113(f882(x72021,a870)),f333(f303(x72021,x72022),x72023)),f333(f303(x72021,x72023),x72024)),f333(f303(x72021,x72022),x72024))+~P23(f333(f333(f247(x72021),x72023),x72024))+~P23(f333(f333(f247(x72021),x72022),x72023)) % 183.16/183.19 [7239]P35(x72391,x72392,x72393)+~E(f809(x72393,x72392,x72391,x72394),x72394)+~P23(f333(x72392,x72394))+~P23(f333(f333(f335(x72391),x72394),f333(f174(x72391),x72393))) % 183.16/183.19 [7313]~P106(x73131)+E(f333(f333(f113(f882(x73131,a870)),f333(f303(x73131,x73132),x73133)),f304(x73131,x73133,x73134)),f304(x73131,x73132,x73134))+~P23(f333(f333(f247(x73131),x73133),x73134))+~P23(f333(f333(f247(x73131),x73132),x73133)) % 183.16/183.19 [7379]~P106(x73791)+E(f333(f333(f113(f882(x73791,a870)),f307(x73791,x73792,x73793)),f333(f303(x73791,x73793),x73794)),f307(x73791,x73792,x73794))+~P23(f333(f333(f248(x73791),x73792),x73793))+~P23(f333(f333(f247(x73791),x73793),x73794)) % 183.16/183.19 [7399]~P106(x73991)+E(f333(f333(f113(f882(x73991,a870)),f304(x73991,x73992,x73993)),f307(x73991,x73993,x73994)),f333(f303(x73991,x73992),x73994))+~P23(f333(f333(f248(x73991),x73993),x73994))+~P23(f333(f333(f247(x73991),x73992),x73993)) % 183.16/183.19 [7431]~P106(x74311)+E(f333(f333(f113(f882(x74311,a870)),f307(x74311,x74312,x74313)),f304(x74311,x74313,x74314)),f306(x74311,x74312,x74314))+~P23(f333(f333(f248(x74311),x74312),x74313))+~P23(f333(f333(f247(x74311),x74313),x74314)) % 183.16/183.19 [7432]~P106(x74321)+E(f333(f333(f113(f882(x74321,a870)),f306(x74321,x74322,x74323)),f307(x74321,x74323,x74324)),f307(x74321,x74322,x74324))+~P23(f333(f333(f248(x74321),x74323),x74324))+~P23(f333(f333(f247(x74321),x74322),x74323)) % 183.16/183.19 [7433]~P106(x74331)+E(f333(f333(f113(f882(x74331,a870)),f306(x74331,x74332,x74333)),f306(x74331,x74333,x74334)),f306(x74331,x74332,x74334))+~P23(f333(f333(f247(x74331),x74333),x74334))+~P23(f333(f333(f247(x74331),x74332),x74333)) % 183.16/183.19 [7434]~P106(x74341)+E(f333(f333(f113(f882(x74341,a870)),f304(x74341,x74342,x74343)),f306(x74341,x74343,x74344)),f304(x74341,x74342,x74344))+~P23(f333(f333(f247(x74341),x74343),x74344))+~P23(f333(f333(f247(x74341),x74342),x74343)) % 183.16/183.19 [8241]P20(x82411,x82412,f349(x82413,x82412,x82414,x82411),x82414)+~P23(f333(f61(x82412),x82413))+~P23(f333(f61(x82411),x82414))+~P23(f333(f333(f247(a875),f333(f37(x82411),x82414)),f333(f37(x82412),x82413))) % 183.16/183.19 [8262]P35(x82621,x82622,x82623)+~P23(f333(x82622,x82624))+P23(f333(x82622,f809(x82623,x82622,x82621,x82624)))+~P23(f333(f333(f335(x82621),x82624),f333(f174(x82621),x82623))) % 183.16/183.19 [8313]~P73(x83131)+~E(f333(x83133,f860(x83133,x83134,x83132,x83131)),f77(x83131))+E(f333(f333(f333(f65(x83131,x83132,f80(x83131)),x83133),f77(x83131)),x83134),f77(x83131))+~P23(f333(f61(x83132),x83134)) % 183.16/183.19 [8586]~P120(x85861)+~P23(f333(f333(f247(x85861),f2(x85861)),x85863))+P23(f333(f333(f247(x85861),x85862),x85863))+~P23(f333(f333(f247(x85861),f333(f333(f258(x85861),x85862),f333(a115,x85864))),f333(f333(f258(x85861),x85863),f333(a115,x85864)))) % 183.16/183.19 [8880]P35(x88801,x88802,x88803)+~P23(f333(x88802,x88804))+~P23(f333(f333(f335(x88801),x88804),f333(f174(x88801),x88803)))+P23(f333(f333(f335(x88801),f809(x88803,x88802,x88801,x88804)),f333(f174(x88801),x88803))) % 183.16/183.19 [8968]~P73(x89681)+E(f333(f333(f333(f65(x89681,x89682,f80(x89681)),x89683),f77(x89681)),x89684),f77(x89681))+~P23(f333(f61(x89682),x89684))+P23(f333(f333(f335(x89682),f860(x89683,x89684,x89682,x89681)),x89684)) % 183.16/183.19 [9454]~P23(f333(f333(f247(a1),x94544),f2(a1)))+P23(f333(f333(f247(a1),f333(f333(f79(a1),f333(f333(f80(a1),x94541),f44(a1,x94542,x94543))),x94544)),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x94543))+~P23(f333(f333(f248(a1),x94541),x94544)) % 183.16/183.19 [9902]~P23(f333(f61(x99021),x99022))+~P23(f333(f333(f335(x99021),x99024),x99022))+~P23(f333(f333(f335(x99021),x99023),x99022))+P23(f333(f333(f248(a875),f333(f37(x99021),f333(f333(f22(f882(x99021,a870)),f333(f333(f22(f882(x99021,a870)),x99022),f333(f333(f311(x99021),x99023),f196(f882(x99021,a870))))),f333(f333(f311(x99021),x99024),f196(f882(x99021,a870)))))),f333(f37(x99021),x99022))) % 183.16/183.19 [6910]~P106(x69101)+~P23(f333(f333(f248(x69101),x69102),x69104))+~P23(f333(f333(f248(x69101),x69102),x69103))+P23(f333(f333(f248(x69101),x69102),f333(f333(f245(x69101),x69103),x69104))) % 183.16/183.19 [6913]~P99(x69131)+~P23(f333(f333(f247(x69131),x69132),x69134))+~P23(f333(f333(f247(x69131),x69132),x69133))+P23(f333(f333(f247(x69131),x69132),f333(f333(f104(x69131),x69133),x69134))) % 183.16/183.19 [6916]~P106(x69161)+~P23(f333(f333(f247(x69161),x69162),x69164))+~P23(f333(f333(f247(x69161),x69162),x69163))+P23(f333(f333(f247(x69161),x69162),f333(f333(f245(x69161),x69163),x69164))) % 183.16/183.19 [6935]~P59(x69352)+E(x69351,f2(x69352))+E(f333(f333(f291(x69352),f333(f333(f258(x69352),x69351),x69353)),f333(f333(f258(x69352),x69351),x69354)),f333(f333(f258(x69352),x69351),f333(f333(f22(a875),x69353),x69354)))+~P23(f333(f333(f247(a875),x69354),x69353)) % 183.16/183.19 [6980]~P106(x69801)+~P28(x69801,f333(f333(f152(x69801),x69803),x69804))+P28(x69801,f333(f333(f152(x69801),x69802),f333(f333(f152(x69801),x69803),x69804)))+~P23(f333(f333(f247(x69801),x69802),x69803)) % 183.16/183.19 [7021]~P120(x70211)+~P23(f333(f333(f248(x70211),f2(x70211)),x70213))+~P23(f333(f333(f248(x70211),x70212),x70214))+P23(f333(f333(f248(x70211),x70212),f333(f333(f79(x70211),x70213),x70214))) % 183.16/183.19 [7022]~P85(x70221)+~P23(f333(f333(f247(x70221),f2(x70221)),x70223))+~P23(f333(f333(f248(x70221),x70222),x70224))+P23(f333(f333(f248(x70221),x70222),f333(f333(f79(x70221),x70223),x70224))) % 183.16/183.19 [7023]~P85(x70231)+~P23(f333(f333(f247(x70231),x70232),x70234))+~P23(f333(f333(f248(x70231),f2(x70231)),x70233))+P23(f333(f333(f248(x70231),x70232),f333(f333(f79(x70231),x70233),x70234))) % 183.16/183.19 [7024]~P85(x70241)+~P23(f333(f333(f247(x70241),f2(x70241)),x70244))+~P23(f333(f333(f247(x70241),x70242),x70243))+P23(f333(f333(f247(x70241),x70242),f333(f333(f79(x70241),x70243),x70244))) % 183.16/183.19 [7025]~P85(x70251)+~P23(f333(f333(f247(x70251),f2(x70251)),x70253))+~P23(f333(f333(f247(x70251),x70252),x70254))+P23(f333(f333(f247(x70251),x70252),f333(f333(f79(x70251),x70253),x70254))) % 183.16/183.19 [7064]~P106(x70641)+P23(f333(f333(f248(x70641),x70642),x70643))+P23(f333(f333(f248(x70641),x70642),x70644))+~P23(f333(f333(f248(x70641),x70642),f333(f333(f246(x70641),x70644),x70643))) % 183.16/183.19 [7065]~P106(x70651)+P23(f333(f333(f247(x70651),x70652),x70653))+P23(f333(f333(f247(x70651),x70652),x70654))+~P23(f333(f333(f247(x70651),x70652),f333(f333(f246(x70651),x70654),x70653))) % 183.16/183.19 [7352]~P108(x73522)+~P57(x73521)+~P23(f333(f333(f248(f882(x73521,x73522)),x73523),x73524))+P23(f333(f333(f247(f882(x73521,x73522)),x73523),x73524)) % 183.16/183.19 [7724]~P61(x77241)+~P23(f333(f333(f248(x77241),x77244),f2(x77241)))+~P23(f333(f333(f248(x77241),x77243),f333(f333(f291(x77241),x77242),x77244)))+P23(f333(f333(f248(x77241),x77242),f333(f333(f80(x77241),x77243),x77244))) % 183.16/183.19 [7725]~P61(x77251)+~P23(f333(f333(f248(x77251),x77254),f2(x77251)))+~P23(f333(f333(f248(x77251),x77253),f333(f333(f80(x77251),x77252),x77254)))+P23(f333(f333(f248(x77251),x77252),f333(f333(f291(x77251),x77253),x77254))) % 183.16/183.19 [7726]~P61(x77261)+~P23(f333(f333(f248(x77261),x77264),f2(x77261)))+~P23(f333(f333(f247(x77261),x77263),f333(f333(f291(x77261),x77262),x77264)))+P23(f333(f333(f247(x77261),x77262),f333(f333(f80(x77261),x77263),x77264))) % 183.16/183.19 [7727]~P61(x77271)+~P23(f333(f333(f248(x77271),x77274),f2(x77271)))+~P23(f333(f333(f247(x77271),x77273),f333(f333(f80(x77271),x77272),x77274)))+P23(f333(f333(f247(x77271),x77272),f333(f333(f291(x77271),x77273),x77274))) % 183.16/183.19 [7840]~P122(x78401)+~P23(f333(f333(f248(x78401),x78403),f2(x78401)))+~P23(f333(f333(f248(x78401),x78404),x78402))+P23(f333(f333(f248(x78401),f333(f333(f80(x78401),x78402),x78403)),f333(f333(f80(x78401),x78404),x78403))) % 183.16/183.19 [7841]~P122(x78411)+~P23(f333(f333(f248(x78411),x78412),f2(x78411)))+~P23(f333(f333(f248(x78411),x78414),x78413))+P23(f333(f333(f248(x78411),f333(f333(f80(x78411),x78412),x78413)),f333(f333(f80(x78411),x78412),x78414))) % 183.16/183.19 [7842]~P61(x78421)+~P23(f333(f333(f248(x78421),x78423),f2(x78421)))+~P23(f333(f333(f248(x78421),x78424),x78422))+P23(f333(f333(f248(x78421),f333(f333(f291(x78421),x78422),x78423)),f333(f333(f291(x78421),x78424),x78423))) % 183.16/183.19 [7843]~P123(x78431)+~P23(f333(f333(f247(x78431),x78432),f2(x78431)))+~P23(f333(f333(f247(x78431),x78434),x78433))+P23(f333(f333(f247(x78431),f333(f333(f80(x78431),x78432),x78433)),f333(f333(f80(x78431),x78432),x78434))) % 183.16/183.19 [7844]~P122(x78441)+~P23(f333(f333(f248(x78441),x78442),f2(x78441)))+~P23(f333(f333(f247(x78441),x78444),x78443))+P23(f333(f333(f247(x78441),f333(f333(f80(x78441),x78442),x78443)),f333(f333(f80(x78441),x78442),x78444))) % 183.16/183.19 [7845]~P123(x78451)+~P23(f333(f333(f247(x78451),x78453),f2(x78451)))+~P23(f333(f333(f247(x78451),x78454),x78452))+P23(f333(f333(f247(x78451),f333(f333(f80(x78451),x78452),x78453)),f333(f333(f80(x78451),x78454),x78453))) % 183.16/183.19 [7846]~P60(x78461)+~P23(f333(f333(f247(x78461),x78463),f2(x78461)))+~P23(f333(f333(f247(x78461),x78464),x78462))+P23(f333(f333(f247(x78461),f333(f333(f291(x78461),x78462),x78463)),f333(f333(f291(x78461),x78464),x78463))) % 183.16/183.19 [7848]~P120(x78481)+~P23(f333(f333(f248(x78481),f77(x78481)),x78482))+~P23(f333(f333(f248(a875),x78483),x78484))+P23(f333(f333(f248(x78481),f333(f333(f258(x78481),x78482),x78483)),f333(f333(f258(x78481),x78482),x78484))) % 183.16/183.19 [7849]~P120(x78491)+~P23(f333(f333(f248(x78491),f77(x78491)),x78492))+~P23(f333(f333(f247(a875),x78493),x78494))+P23(f333(f333(f247(x78491),f333(f333(f258(x78491),x78492),x78493)),f333(f333(f258(x78491),x78492),x78494))) % 183.16/183.19 [7850]~P120(x78501)+~P23(f333(f333(f247(x78501),f77(x78501)),x78502))+~P23(f333(f333(f247(a875),x78503),x78504))+P23(f333(f333(f247(x78501),f333(f333(f258(x78501),x78502),x78503)),f333(f333(f258(x78501),x78502),x78504))) % 183.16/183.19 [7877]P23(f333(f333(f248(a875),f2(a875)),f333(x78771,x78772)))+~P23(f333(f61(x78773),x78774))+~P23(f333(f333(f335(x78773),x78772),x78774))+~P23(f333(f333(f248(a875),f2(a875)),f333(f333(f9(x78773,a875),x78771),x78774))) % 183.16/183.19 [7887]~P125(x78871)+~P23(f333(f333(f248(x78871),x78873),x78874))+~P23(f333(f333(f248(x78871),f2(x78871)),x78872))+P23(f333(f333(f248(x78871),f333(f333(f80(x78871),x78872),x78873)),f333(f333(f80(x78871),x78872),x78874))) % 183.16/183.19 [7888]~P115(x78881)+~P23(f333(f333(f248(x78881),x78883),x78884))+~P23(f333(f333(f248(x78881),f2(x78881)),x78882))+P23(f333(f333(f248(x78881),f333(f333(f80(x78881),x78882),x78883)),f333(f333(f80(x78881),x78882),x78884))) % 183.16/183.19 [7889]~P122(x78891)+~P23(f333(f333(f248(x78891),x78892),x78894))+~P23(f333(f333(f248(x78891),f2(x78891)),x78893))+P23(f333(f333(f248(x78891),f333(f333(f80(x78891),x78892),x78893)),f333(f333(f80(x78891),x78894),x78893))) % 183.16/183.19 [7890]~P125(x78901)+~P23(f333(f333(f248(x78901),x78902),x78904))+~P23(f333(f333(f248(x78901),f2(x78901)),x78903))+P23(f333(f333(f248(x78901),f333(f333(f80(x78901),x78902),x78903)),f333(f333(f80(x78901),x78904),x78903))) % 183.16/183.19 [7891]~P122(x78911)+~P23(f333(f333(f248(x78911),x78913),x78914))+~P23(f333(f333(f248(x78911),f2(x78911)),x78912))+P23(f333(f333(f248(x78911),f333(f333(f80(x78911),x78912),x78913)),f333(f333(f80(x78911),x78912),x78914))) % 183.16/183.19 [7892]~P61(x78921)+~P23(f333(f333(f248(x78921),x78922),x78924))+~P23(f333(f333(f248(x78921),f2(x78921)),x78923))+P23(f333(f333(f248(x78921),f333(f333(f291(x78921),x78922),x78923)),f333(f333(f291(x78921),x78924),x78923))) % 183.16/183.19 [7893]~P122(x78931)+~P23(f333(f333(f248(x78931),f2(x78931)),x78932))+~P23(f333(f333(f247(x78931),x78933),x78934))+P23(f333(f333(f247(x78931),f333(f333(f80(x78931),x78932),x78933)),f333(f333(f80(x78931),x78932),x78934))) % 183.16/183.19 [7894]~P132(x78941)+~P23(f333(f333(f247(x78941),x78943),x78944))+~P23(f333(f333(f247(x78941),f2(x78941)),x78942))+P23(f333(f333(f247(x78941),f333(f333(f80(x78941),x78942),x78943)),f333(f333(f80(x78941),x78942),x78944))) % 183.16/183.19 [7895]~P131(x78951)+~P23(f333(f333(f247(x78951),x78953),x78954))+~P23(f333(f333(f247(x78951),f2(x78951)),x78952))+P23(f333(f333(f247(x78951),f333(f333(f80(x78951),x78952),x78953)),f333(f333(f80(x78951),x78952),x78954))) % 183.16/183.19 [7896]~P132(x78961)+~P23(f333(f333(f247(x78961),x78962),x78964))+~P23(f333(f333(f247(x78961),f2(x78961)),x78963))+P23(f333(f333(f247(x78961),f333(f333(f80(x78961),x78962),x78963)),f333(f333(f80(x78961),x78964),x78963))) % 183.16/183.19 [7897]~P120(x78971)+~P23(f333(f333(f247(x78971),x78972),x78974))+~P23(f333(f333(f247(x78971),f2(x78971)),x78972))+P23(f333(f333(f247(x78971),f333(f333(f258(x78971),x78972),x78973)),f333(f333(f258(x78971),x78974),x78973))) % 183.16/183.19 [7898]~P60(x78981)+~P23(f333(f333(f247(x78981),x78982),x78984))+~P23(f333(f333(f247(x78981),f2(x78981)),x78983))+P23(f333(f333(f247(x78981),f333(f333(f291(x78981),x78982),x78983)),f333(f333(f291(x78981),x78984),x78983))) % 183.16/183.19 [7941]~P107(x79412)+P23(f333(f333(f247(f882(x79411,x79412)),x79414),x79413))+~P23(f333(f333(f247(f882(x79411,x79412)),x79413),x79414))+P23(f333(f333(f248(f882(x79411,x79412)),x79413),x79414)) % 183.16/183.19 [7984]P23(f333(f333(f335(x79841),x79842),x79843))+P23(f333(f333(f335(x79841),x79842),x79844))+~P23(f333(f333(f247(f882(x79841,a870)),x79844),x79843))+P23(f333(f333(f248(f882(x79841,a870)),x79844),f333(f333(f311(x79841),x79842),x79843))) % 183.16/183.19 [8146]P23(f333(f333(f335(x81461),x81462),x81463))+P23(f333(f333(f335(x81461),x81462),x81464))+~P23(f333(f333(f248(f882(x81461,a870)),x81464),f333(f333(f311(x81461),x81462),x81463)))+P23(f333(f333(f247(f882(x81461,a870)),x81464),x81463)) % 183.16/183.19 [8155]~P57(x81551)+P6(x81551,x81552,x81553)+~P23(f333(x81552,x81554))+~P23(f333(f333(f335(f876(x81551)),x81554),f333(f174(f876(x81551)),f54(x81551,x81553,f55(x81551))))) % 183.16/183.19 [8165]~P7(x81653,x81651,x81654)+~P57(x81653)+P23(f333(x81651,x81652))+~P23(f333(f333(f335(f876(x81653)),x81652),f333(f174(f876(x81653)),f54(x81653,x81654,f55(x81653))))) % 183.16/183.19 [8218]~P122(x82181)+P23(f333(f333(f248(x82181),x82183),x82182))+P23(f333(f333(f248(x82181),x82182),x82183))+~P23(f333(f333(f248(x82181),f333(f333(f80(x82181),x82184),x82182)),f333(f333(f80(x82181),x82184),x82183))) % 183.16/183.19 [8219]~P122(x82191)+P23(f333(f333(f248(x82191),x82193),x82192))+P23(f333(f333(f248(x82191),x82192),x82193))+~P23(f333(f333(f248(x82191),f333(f333(f80(x82191),x82192),x82194)),f333(f333(f80(x82191),x82193),x82194))) % 183.16/183.19 [8230]~P122(x82301)+P23(f333(f333(f248(x82301),x82304),f2(x82301)))+P23(f333(f333(f248(x82301),x82302),x82303))+~P23(f333(f333(f248(x82301),f333(f333(f80(x82301),x82302),x82304)),f333(f333(f80(x82301),x82303),x82304))) % 183.16/183.19 [8231]~P122(x82311)+P23(f333(f333(f248(x82311),x82314),f2(x82311)))+P23(f333(f333(f248(x82311),x82312),x82313))+~P23(f333(f333(f248(x82311),f333(f333(f80(x82311),x82314),x82312)),f333(f333(f80(x82311),x82314),x82313))) % 183.16/183.19 [8235]~P122(x82351)+P23(f333(f333(f248(x82351),x82352),x82353))+P23(f333(f333(f248(x82351),f2(x82351)),x82354))+~P23(f333(f333(f248(x82351),f333(f333(f80(x82351),x82354),x82353)),f333(f333(f80(x82351),x82354),x82352))) % 183.16/183.19 [8236]~P122(x82361)+P23(f333(f333(f248(x82361),x82362),x82363))+P23(f333(f333(f248(x82361),f2(x82361)),x82364))+~P23(f333(f333(f248(x82361),f333(f333(f80(x82361),x82363),x82364)),f333(f333(f80(x82361),x82362),x82364))) % 183.16/183.19 [8249]~P122(x82491)+P23(f333(f333(f248(x82491),x82492),f2(x82491)))+P23(f333(f333(f248(x82491),f2(x82491)),x82492))+~P23(f333(f333(f248(x82491),f333(f333(f80(x82491),x82493),x82492)),f333(f333(f80(x82491),x82494),x82492))) % 183.16/183.19 [8250]~P122(x82501)+P23(f333(f333(f248(x82501),x82502),f2(x82501)))+P23(f333(f333(f248(x82501),f2(x82501)),x82502))+~P23(f333(f333(f248(x82501),f333(f333(f80(x82501),x82502),x82503)),f333(f333(f80(x82501),x82502),x82504))) % 183.16/183.19 [8276]~P122(x82761)+~P23(f333(f333(f248(x82761),x82764),f2(x82761)))+P23(f333(f333(f248(x82761),x82762),x82763))+~P23(f333(f333(f248(x82761),f333(f333(f80(x82761),x82764),x82763)),f333(f333(f80(x82761),x82764),x82762))) % 183.16/183.19 [8277]~P122(x82771)+~P23(f333(f333(f248(x82771),x82774),f2(x82771)))+P23(f333(f333(f247(x82771),x82772),x82773))+~P23(f333(f333(f247(x82771),f333(f333(f80(x82771),x82774),x82773)),f333(f333(f80(x82771),x82774),x82772))) % 183.16/183.19 [8289]~P120(x82893)+~P23(f333(f333(f248(x82893),f77(x82893)),x82894))+P23(f333(f333(f248(a875),x82891),x82892))+~P23(f333(f333(f248(x82893),f333(f333(f258(x82893),x82894),x82891)),f333(f333(f258(x82893),x82894),x82892))) % 183.16/183.19 [8291]~P120(x82913)+~P23(f333(f333(f248(x82913),f77(x82913)),x82914))+P23(f333(f333(f247(a875),x82911),x82912))+~P23(f333(f333(f247(x82913),f333(f333(f258(x82913),x82914),x82911)),f333(f333(f258(x82913),x82914),x82912))) % 183.16/183.19 [8301]~P122(x83011)+P23(f333(f333(f248(x83011),x83012),x83013))+~P23(f333(f333(f248(x83011),f2(x83011)),x83014))+~P23(f333(f333(f248(x83011),f333(f333(f80(x83011),x83014),x83012)),f333(f333(f80(x83011),x83014),x83013))) % 183.16/183.19 [8302]~P125(x83021)+P23(f333(f333(f248(x83021),x83022),x83023))+~P23(f333(f333(f247(x83021),f2(x83021)),x83024))+~P23(f333(f333(f248(x83021),f333(f333(f80(x83021),x83024),x83022)),f333(f333(f80(x83021),x83024),x83023))) % 183.16/183.19 [8303]~P126(x83031)+P23(f333(f333(f248(x83031),x83032),x83033))+~P23(f333(f333(f247(x83031),f2(x83031)),x83034))+~P23(f333(f333(f248(x83031),f333(f333(f80(x83031),x83034),x83032)),f333(f333(f80(x83031),x83034),x83033))) % 183.16/183.19 [8304]~P120(x83041)+~P23(f333(f333(f247(x83041),f2(x83041)),x83043))+P23(f333(f333(f248(x83041),x83042),x83043))+~P23(f333(f333(f248(x83041),f333(f333(f258(x83041),x83042),x83044)),f333(f333(f258(x83041),x83043),x83044))) % 183.16/183.19 [8305]~P125(x83051)+P23(f333(f333(f248(x83051),x83052),x83053))+~P23(f333(f333(f247(x83051),f2(x83051)),x83054))+~P23(f333(f333(f248(x83051),f333(f333(f80(x83051),x83052),x83054)),f333(f333(f80(x83051),x83053),x83054))) % 183.16/183.19 [8306]~P126(x83061)+P23(f333(f333(f248(x83061),x83062),x83063))+~P23(f333(f333(f247(x83061),f2(x83061)),x83064))+~P23(f333(f333(f248(x83061),f333(f333(f80(x83061),x83062),x83064)),f333(f333(f80(x83061),x83063),x83064))) % 183.16/183.19 [8307]~P122(x83071)+P23(f333(f333(f247(x83071),x83072),x83073))+~P23(f333(f333(f248(x83071),f2(x83071)),x83074))+~P23(f333(f333(f247(x83071),f333(f333(f80(x83071),x83074),x83072)),f333(f333(f80(x83071),x83074),x83073))) % 183.16/183.19 [8308]~P125(x83081)+P23(f333(f333(f247(x83081),x83082),x83083))+~P23(f333(f333(f248(x83081),f2(x83081)),x83084))+~P23(f333(f333(f247(x83081),f333(f333(f80(x83081),x83084),x83082)),f333(f333(f80(x83081),x83084),x83083))) % 183.16/183.19 [8309]~P125(x83091)+P23(f333(f333(f247(x83091),x83092),x83093))+~P23(f333(f333(f248(x83091),f2(x83091)),x83094))+~P23(f333(f333(f247(x83091),f333(f333(f80(x83091),x83092),x83094)),f333(f333(f80(x83091),x83093),x83094))) % 183.16/183.19 [8352]P23(f333(f333(f335(x83521),x83522),x83523))+~P23(f333(f333(f247(f882(x83521,a870)),x83523),x83524))+~P23(f333(f333(f248(f882(x83521,a870)),x83523),x83524))+P23(f333(f333(f248(f882(x83521,a870)),x83523),f333(f333(f311(x83521),x83522),x83524))) % 183.16/183.19 [8609]~P57(x86091)+~P92(x86092)+~E(f333(x86093,f802(x86094,x86093,x86091,x86092)),f333(x86094,f802(x86094,x86093,x86091,x86092)))+P23(f333(f333(f90(f882(x86091,x86092)),x86093),x86094)) % 183.16/183.19 [8723]E(f333(f333(f22(a1),f435(x87231,x87232,x87233,x87234)),f436(x87231,x87232,x87233,x87234)),x87234)+~P23(f333(f333(f248(a1),f2(a1)),x87233))+~P23(f333(f333(f247(a1),x87231),x87234))+P23(f333(f333(f247(a1),x87231),f333(f333(f79(a1),x87234),x87233))) % 183.16/183.19 [8724]E(f333(f333(f22(a1),f445(x87241,x87242,x87243,x87244)),f446(x87241,x87242,x87243,x87244)),x87244)+~P23(f333(f333(f248(a1),f2(a1)),x87243))+~P23(f333(f333(f248(a1),x87241),x87244))+P23(f333(f333(f248(a1),x87241),f333(f333(f79(a1),x87244),x87243))) % 183.16/183.19 [8860]~E(f333(f333(f166(x88601),x88603),f695(x88604,x88603,x88601,x88602)),f333(f333(f166(x88601),x88604),f695(x88604,x88603,x88601,x88602)))+E(f333(f333(f177(x88601),x88602),x88603),f333(f333(f177(x88601),x88602),x88604))+~P23(f333(f333(f247(a875),x88602),f333(f197(f876(x88601)),x88603)))+~P23(f333(f333(f247(a875),x88602),f333(f197(f876(x88601)),x88604))) % 183.16/183.19 [8934]~P23(f333(f333(f248(a1),f2(a1)),x89343))+~P23(f333(f333(f247(a1),x89341),x89344))+P23(f333(f333(f335(a1),f435(x89341,x89342,x89343,x89344)),x89342))+P23(f333(f333(f247(a1),x89341),f333(f333(f79(a1),x89344),x89343))) % 183.16/183.19 [8935]~P23(f333(f333(f248(a1),f2(a1)),x89353))+~P23(f333(f333(f248(a1),x89351),x89354))+P23(f333(f333(f335(a1),f445(x89351,x89352,x89353,x89354)),x89352))+P23(f333(f333(f248(a1),x89351),f333(f333(f79(a1),x89354),x89353))) % 183.16/183.19 [8977]~P99(x89771)+~P23(f333(f61(x89771),x89773))+~P23(f333(f333(f335(x89771),x89774),x89773))+P23(f333(f333(f247(x89771),f333(f333(f64(x89771,x89771,f104(x89771)),x89772),x89773)),f333(f333(f104(x89771),x89774),x89772))) % 183.16/183.19 [8978]~P106(x89781)+~P23(f333(f61(x89781),x89783))+~P23(f333(f333(f335(x89781),x89784),x89783))+P23(f333(f333(f247(x89781),f333(f333(f64(x89781,x89781,f245(x89781)),x89782),x89783)),f333(f333(f245(x89781),x89784),x89782))) % 183.16/183.19 [9024]E(f333(f333(f177(x90241),x90242),x90243),f333(f333(f177(x90241),x90242),x90244))+P23(f333(f333(f248(a875),f695(x90243,x90244,x90241,x90242)),x90242))+~P23(f333(f333(f247(a875),x90242),f333(f197(f876(x90241)),x90243)))+~P23(f333(f333(f247(a875),x90242),f333(f197(f876(x90241)),x90244))) % 183.16/183.19 [9029]~P23(f333(f333(f248(a1),f2(a1)),x90293))+~P23(f333(f333(f248(a1),x90291),x90292))+P23(f333(f333(f335(a1),f446(x90291,x90294,x90293,x90292)),f304(a1,f77(a1),x90293)))+P23(f333(f333(f248(a1),x90291),f333(f333(f79(a1),x90292),x90293))) % 183.16/183.19 [9030]~P23(f333(f333(f248(a1),f2(a1)),x90303))+~P23(f333(f333(f247(a1),x90301),x90302))+P23(f333(f333(f335(a1),f436(x90301,x90304,x90303,x90302)),f304(a1,f77(a1),x90303)))+P23(f333(f333(f247(a1),x90301),f333(f333(f79(a1),x90302),x90303))) % 183.16/183.19 [9193]~E(f333(f180(x91931,x91932),x91933),f333(f180(x91931,x91932),x91934))+E(f333(f174(f881(x91931,x91932)),x91933),f333(f174(f881(x91931,x91932)),x91934))+~P23(f333(f138(x91931),f333(f333(f155(f881(x91931,x91932),x91931),f267(x91931,x91932)),x91934)))+~P23(f333(f138(x91931),f333(f333(f155(f881(x91931,x91932),x91931),f267(x91931,x91932)),x91933))) % 183.16/183.19 [9205]E(f333(f180(x92051,x92052),x92053),f333(f180(x92051,x92052),x92054))+~E(f333(f174(f881(x92051,x92052)),x92053),f333(f174(f881(x92051,x92052)),x92054))+~P23(f333(f138(x92051),f333(f333(f155(f881(x92051,x92052),x92051),f267(x92051,x92052)),x92054)))+~P23(f333(f138(x92051),f333(f333(f155(f881(x92051,x92052),x92051),f267(x92051,x92052)),x92053))) % 183.16/183.19 [9348]~P106(x93481)+~P23(f333(f61(x93481),x93484))+P23(f333(f333(f335(x93481),f524(x93482,x93483,x93484,x93481)),x93484))+P23(f333(f333(f247(x93481),f333(f333(f64(x93481,x93481,f246(x93481)),x93482),x93484)),f333(f333(f246(x93481),x93483),x93482))) % 183.16/183.19 [9349]~P98(x93491)+~P23(f333(f61(x93491),x93494))+P23(f333(f333(f335(x93491),f530(x93492,x93493,x93494,x93491)),x93494))+P23(f333(f333(f247(x93491),f333(f333(f64(x93491,x93491,f113(x93491)),x93492),x93494)),f333(f333(f113(x93491),x93493),x93492))) % 183.16/183.19 [9472]~P98(x94721)+~P23(f333(f61(x94721),x94723))+~P23(f333(f333(f247(x94721),f530(x94722,x94724,x94723,x94721)),x94724))+P23(f333(f333(f247(x94721),f333(f333(f64(x94721,x94721,f113(x94721)),x94722),x94723)),f333(f333(f113(x94721),x94724),x94722))) % 183.16/183.19 [9473]~P106(x94731)+~P23(f333(f61(x94731),x94733))+~P23(f333(f333(f247(x94731),f524(x94732,x94734,x94733,x94731)),x94734))+P23(f333(f333(f247(x94731),f333(f333(f64(x94731,x94731,f246(x94731)),x94732),x94733)),f333(f333(f246(x94731),x94734),x94732))) % 183.16/183.19 [9476]~P23(f333(f333(f248(a1),f2(a1)),x94763))+~P23(f333(f333(f247(a1),f2(a1)),x94764))+~P23(f333(f333(f248(a1),x94764),x94761))+P23(f333(f333(f248(a1),f333(f333(f79(a1),f333(f333(f80(a1),x94761),f44(a1,x94762,x94763))),x94764)),f333(f333(f80(a1),x94761),x94763))) % 183.16/183.19 [9871]E(x98711,x98712)+P23(f333(f333(f335(f881(f876(x98713),f876(x98713))),f333(f333(f268(f876(x98713),f876(x98713)),x98712),x98711)),f148(x98713,x98714)))+P23(f333(f333(f335(f881(f876(x98713),f876(x98713))),f333(f333(f268(f876(x98713),f876(x98713)),x98711),x98712)),f148(x98713,x98714)))+~P23(f333(f333(f335(f881(x98713,x98713)),f333(f333(f268(x98713,x98713),f676(x98711,x98712,x98714,x98713)),f677(x98711,x98712,x98714,x98713))),x98714)) % 183.16/183.19 [9872]E(x98721,x98722)+P23(f333(f333(f335(f881(f876(x98723),f876(x98723))),f333(f333(f268(f876(x98723),f876(x98723)),x98722),x98721)),f148(x98723,x98724)))+P23(f333(f333(f335(f881(f876(x98723),f876(x98723))),f333(f333(f268(f876(x98723),f876(x98723)),x98721),x98722)),f148(x98723,x98724)))+~P23(f333(f333(f335(f881(x98723,x98723)),f333(f333(f268(x98723,x98723),f677(x98721,x98722,x98724,x98723)),f676(x98721,x98722,x98724,x98723))),x98724)) % 183.16/183.19 [7419]~P106(x74191)+~P23(f333(f333(f248(x74191),x74193),x74194))+~P23(f333(f333(f248(x74191),x74192),x74194))+P23(f333(f333(f248(x74191),f333(f333(f246(x74191),x74192),x74193)),x74194)) % 183.16/183.19 [7422]~P98(x74221)+~P23(f333(f333(f247(x74221),x74223),x74224))+~P23(f333(f333(f247(x74221),x74222),x74224))+P23(f333(f333(f247(x74221),f333(f333(f113(x74221),x74222),x74223)),x74224)) % 183.16/183.19 [7425]~P106(x74251)+~P23(f333(f333(f247(x74251),x74253),x74254))+~P23(f333(f333(f247(x74251),x74252),x74254))+P23(f333(f333(f247(x74251),f333(f333(f246(x74251),x74252),x74253)),x74254)) % 183.16/183.19 [7749]~E(x77491,x77493)+E(f140(a875,f333(f303(a875,x77491),x77492)),f333(f333(f152(a875),x77493),x77494))+~E(f140(a875,f333(f303(a875,f333(f333(f79(a875),x77491),f77(a875))),x77492)),x77494)+~P23(f333(f333(f248(a875),x77491),x77492)) % 183.16/183.19 [7760]~P106(x77601)+P23(f333(f333(f248(x77601),x77602),x77603))+P23(f333(f333(f248(x77601),x77604),x77603))+~P23(f333(f333(f248(x77601),f333(f333(f245(x77601),x77604),x77602)),x77603)) % 183.16/183.19 [7761]~P106(x77611)+P23(f333(f333(f247(x77611),x77612),x77613))+P23(f333(f333(f247(x77611),x77614),x77613))+~P23(f333(f333(f247(x77611),f333(f333(f245(x77611),x77614),x77612)),x77613)) % 183.16/183.19 [8045]~P60(x80451)+~P23(f333(f333(f248(x80451),f2(x80451)),x80453))+~P23(f333(f333(f248(x80451),x80452),f333(f333(f291(x80451),x80454),x80453)))+P23(f333(f333(f248(x80451),f333(f333(f80(x80451),x80452),x80453)),x80454)) % 183.16/183.19 [8046]~P61(x80461)+~P23(f333(f333(f248(x80461),f2(x80461)),x80463))+~P23(f333(f333(f248(x80461),x80462),f333(f333(f291(x80461),x80464),x80463)))+P23(f333(f333(f248(x80461),f333(f333(f80(x80461),x80462),x80463)),x80464)) % 183.16/183.19 [8047]~P60(x80471)+~P23(f333(f333(f248(x80471),f2(x80471)),x80473))+~P23(f333(f333(f248(x80471),x80472),f333(f333(f80(x80471),x80474),x80473)))+P23(f333(f333(f248(x80471),f333(f333(f291(x80471),x80472),x80473)),x80474)) % 183.16/183.19 [8049]~P61(x80491)+~P23(f333(f333(f248(x80491),f2(x80491)),x80493))+~P23(f333(f333(f248(x80491),x80492),f333(f333(f80(x80491),x80494),x80493)))+P23(f333(f333(f248(x80491),f333(f333(f291(x80491),x80492),x80493)),x80494)) % 183.16/183.19 [8050]~P60(x80501)+~P23(f333(f333(f248(x80501),f2(x80501)),x80503))+~P23(f333(f333(f247(x80501),x80502),f333(f333(f291(x80501),x80504),x80503)))+P23(f333(f333(f247(x80501),f333(f333(f80(x80501),x80502),x80503)),x80504)) % 183.16/183.19 [8051]~P61(x80511)+~P23(f333(f333(f248(x80511),f2(x80511)),x80513))+~P23(f333(f333(f247(x80511),x80512),f333(f333(f291(x80511),x80514),x80513)))+P23(f333(f333(f247(x80511),f333(f333(f80(x80511),x80512),x80513)),x80514)) % 183.16/183.19 [8052]~P60(x80521)+~P23(f333(f333(f248(x80521),f2(x80521)),x80523))+~P23(f333(f333(f247(x80521),x80522),f333(f333(f80(x80521),x80524),x80523)))+P23(f333(f333(f247(x80521),f333(f333(f291(x80521),x80522),x80523)),x80524)) % 183.16/183.19 [8054]~P61(x80541)+~P23(f333(f333(f248(x80541),f2(x80541)),x80543))+~P23(f333(f333(f247(x80541),x80542),f333(f333(f80(x80541),x80544),x80543)))+P23(f333(f333(f247(x80541),f333(f333(f291(x80541),x80542),x80543)),x80544)) % 183.16/183.19 [8187]~P60(x81871)+~P23(f333(f333(f248(x81871),f2(x81871)),x81874))+P23(f333(f333(f248(x81871),x81872),f333(f333(f80(x81871),x81873),x81874)))+~P23(f333(f333(f248(x81871),f333(f333(f291(x81871),x81872),x81874)),x81873)) % 183.16/183.19 [8188]~P60(x81881)+~P23(f333(f333(f248(x81881),f2(x81881)),x81884))+P23(f333(f333(f248(x81881),x81882),f333(f333(f291(x81881),x81883),x81884)))+~P23(f333(f333(f248(x81881),f333(f333(f80(x81881),x81882),x81884)),x81883)) % 183.16/183.19 [8190]~P61(x81901)+~P23(f333(f333(f248(x81901),f2(x81901)),x81904))+P23(f333(f333(f248(x81901),x81902),f333(f333(f80(x81901),x81903),x81904)))+~P23(f333(f333(f248(x81901),f333(f333(f291(x81901),x81902),x81904)),x81903)) % 183.16/183.19 [8191]~P61(x81911)+~P23(f333(f333(f248(x81911),f2(x81911)),x81914))+P23(f333(f333(f248(x81911),x81912),f333(f333(f291(x81911),x81913),x81914)))+~P23(f333(f333(f248(x81911),f333(f333(f80(x81911),x81912),x81914)),x81913)) % 183.16/183.19 [8192]~P60(x81921)+~P23(f333(f333(f248(x81921),f2(x81921)),x81924))+P23(f333(f333(f247(x81921),x81922),f333(f333(f80(x81921),x81923),x81924)))+~P23(f333(f333(f247(x81921),f333(f333(f291(x81921),x81922),x81924)),x81923)) % 183.16/183.19 [8193]~P60(x81931)+~P23(f333(f333(f248(x81931),f2(x81931)),x81934))+P23(f333(f333(f247(x81931),x81932),f333(f333(f291(x81931),x81933),x81934)))+~P23(f333(f333(f247(x81931),f333(f333(f80(x81931),x81932),x81934)),x81933)) % 183.16/183.19 [8195]~P61(x81951)+~P23(f333(f333(f248(x81951),f2(x81951)),x81954))+P23(f333(f333(f247(x81951),x81952),f333(f333(f80(x81951),x81953),x81954)))+~P23(f333(f333(f247(x81951),f333(f333(f291(x81951),x81952),x81954)),x81953)) % 183.16/183.19 [8196]~P61(x81961)+~P23(f333(f333(f248(x81961),f2(x81961)),x81964))+P23(f333(f333(f247(x81961),x81962),f333(f333(f291(x81961),x81963),x81964)))+~P23(f333(f333(f247(x81961),f333(f333(f80(x81961),x81962),x81964)),x81963)) % 183.16/183.19 [8356]~P61(x83561)+~P23(f333(f333(f248(x83561),x83563),f2(x83561)))+~P23(f333(f333(f248(x83561),f333(f333(f291(x83561),x83564),x83563)),x83562))+P23(f333(f333(f248(x83561),f333(f333(f80(x83561),x83562),x83563)),x83564)) % 183.16/183.19 [8357]~P61(x83571)+~P23(f333(f333(f248(x83571),x83573),f2(x83571)))+~P23(f333(f333(f248(x83571),f333(f333(f80(x83571),x83574),x83573)),x83572))+P23(f333(f333(f248(x83571),f333(f333(f291(x83571),x83572),x83573)),x83574)) % 183.16/183.19 [8358]~P61(x83581)+~P23(f333(f333(f248(x83581),x83583),f2(x83581)))+~P23(f333(f333(f247(x83581),f333(f333(f291(x83581),x83584),x83583)),x83582))+P23(f333(f333(f247(x83581),f333(f333(f80(x83581),x83582),x83583)),x83584)) % 183.16/183.19 [8359]~P61(x83591)+~P23(f333(f333(f248(x83591),x83593),f2(x83591)))+~P23(f333(f333(f247(x83591),f333(f333(f80(x83591),x83594),x83593)),x83592))+P23(f333(f333(f247(x83591),f333(f333(f291(x83591),x83592),x83593)),x83594)) % 183.16/183.19 [8369]~P23(f333(x83691,x83694))+~P23(f333(f333(f248(a875),x83692),f333(f333(f80(a875),x83693),f333(a115,x83694))))+P23(f333(x83691,f333(f333(f38(a875),x83692),x83693)))+~P23(f333(f333(f247(a875),f333(f333(f80(a875),x83693),x83694)),x83692)) % 183.16/183.19 [8583]~P98(x85831)+~P23(f333(f61(x85831),x85834))+~P23(f333(f333(f335(x85831),x85832),x85834))+P23(f333(f333(f247(x85831),f333(f333(f113(x85831),x85832),x85833)),f333(f333(f64(x85831,x85831,f113(x85831)),x85833),x85834))) % 183.16/183.19 [8584]~P106(x85841)+~P23(f333(f61(x85841),x85844))+~P23(f333(f333(f335(x85841),x85842),x85844))+P23(f333(f333(f247(x85841),f333(f333(f246(x85841),x85842),x85843)),f333(f333(f64(x85841,x85841,f246(x85841)),x85843),x85844))) % 183.16/183.19 [8725]~P23(f333(f61(x87251),x87252))+E(f333(f37(x87251),f333(f333(f22(f882(x87251,a870)),x87252),f333(f333(f311(x87251),x87253),x87254))),f333(f333(f22(a875),f333(f37(x87251),f333(f333(f22(f882(x87251,a870)),x87252),x87254))),f77(a875)))+P23(f333(f333(f335(x87251),x87253),x87254))+~P23(f333(f333(f335(x87251),x87253),x87252)) % 183.16/183.19 [8795]E(f333(f333(f79(a1),f437(x87951,x87952,x87953,x87954)),f438(x87951,x87952,x87953,x87954)),x87954)+~P23(f333(f333(f248(a1),f2(a1)),x87953))+~P23(f333(f333(f247(a1),x87954),x87951))+P23(f333(f333(f247(a1),f333(f333(f22(a1),x87954),x87953)),x87951)) % 183.16/183.19 [8796]E(f333(f333(f79(a1),f447(x87961,x87962,x87963,x87964)),f448(x87961,x87962,x87963,x87964)),x87964)+~P23(f333(f333(f248(a1),f2(a1)),x87963))+~P23(f333(f333(f248(a1),x87964),x87961))+P23(f333(f333(f248(a1),f333(f333(f22(a1),x87964),x87963)),x87961)) % 183.16/183.19 [9009]~P23(f333(f333(f248(a1),f2(a1)),x90093))+~P23(f333(f333(f247(a1),x90094),x90091))+P23(f333(f333(f335(a1),f437(x90091,x90092,x90093,x90094)),x90092))+P23(f333(f333(f247(a1),f333(f333(f22(a1),x90094),x90093)),x90091)) % 183.16/183.19 [9010]~P23(f333(f333(f248(a1),f2(a1)),x90103))+~P23(f333(f333(f248(a1),x90104),x90101))+P23(f333(f333(f335(a1),f447(x90101,x90102,x90103,x90104)),x90102))+P23(f333(f333(f248(a1),f333(f333(f22(a1),x90104),x90103)),x90101)) % 183.16/183.19 [9095]~P23(f333(f333(f248(a1),f2(a1)),x90952))+~P23(f333(f333(f248(a1),x90951),x90953))+P23(f333(f333(f335(a1),f448(x90953,x90954,x90952,x90951)),f304(a1,f77(a1),x90952)))+P23(f333(f333(f248(a1),f333(f333(f22(a1),x90951),x90952)),x90953)) % 183.16/183.19 [9096]~P23(f333(f333(f248(a1),f2(a1)),x90962))+~P23(f333(f333(f247(a1),x90961),x90963))+P23(f333(f333(f335(a1),f438(x90963,x90964,x90962,x90961)),f304(a1,f77(a1),x90962)))+P23(f333(f333(f247(a1),f333(f333(f22(a1),x90961),x90962)),x90963)) % 183.16/183.19 [9112]~P23(f333(f333(f248(a1),f2(a1)),x91123))+~P23(f333(f333(f247(a1),f2(a1)),x91124))+~P23(f333(f333(f248(a1),x91124),x91121))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),f333(f333(f80(a1),x91121),f44(a1,x91122,x91123))),x91124))) % 183.16/183.19 [9176]~P99(x91761)+~P23(f333(f61(x91761),x91764))+~P23(f333(f333(f247(x91761),x91762),f529(x91763,x91762,x91764,x91761)))+P23(f333(f333(f247(x91761),f333(f333(f104(x91761),x91762),x91763)),f333(f333(f64(x91761,x91761,f104(x91761)),x91763),x91764))) % 183.16/183.19 [9177]~P106(x91771)+~P23(f333(f61(x91771),x91774))+~P23(f333(f333(f247(x91771),x91772),f523(x91773,x91772,x91774,x91771)))+P23(f333(f333(f247(x91771),f333(f333(f245(x91771),x91772),x91773)),f333(f333(f64(x91771,x91771,f245(x91771)),x91773),x91774))) % 183.16/183.19 [9192]~P23(f333(f333(f247(a1),x91924),f2(a1)))+~P23(f333(f333(f248(a1),f2(a1)),x91922))+~P23(f333(f333(f248(a1),x91921),x91924))+P23(f333(f333(f248(a1),f333(f333(f80(a1),x91921),x91922)),f333(f333(f79(a1),f333(f333(f80(a1),x91921),f44(a1,x91923,x91922))),x91924))) % 183.16/183.19 [9214]P23(f333(f61(x92141),x92142))+~P23(f333(f61(x92141),x92143))+~P23(f333(f333(f335(f882(x92141,a870)),x92142),f333(f333(f60(x92141),x92143),x92144)))+~P23(f333(f333(f247(f882(f881(x92141,x92141),a870)),x92144),f333(f333(f270(x92141,x92141),x92143),f333(f16(f882(x92141,a870),x92141),x92143)))) % 183.16/183.19 [9242]~P106(x92421)+~P23(f333(f61(x92421),x92424))+P23(f333(f333(f335(x92421),f523(x92422,x92423,x92424,x92421)),x92424))+P23(f333(f333(f247(x92421),f333(f333(f245(x92421),x92423),x92422)),f333(f333(f64(x92421,x92421,f245(x92421)),x92422),x92424))) % 183.16/183.19 [9243]~P99(x92431)+~P23(f333(f61(x92431),x92434))+P23(f333(f333(f335(x92431),f529(x92432,x92433,x92434,x92431)),x92434))+P23(f333(f333(f247(x92431),f333(f333(f104(x92431),x92433),x92432)),f333(f333(f64(x92431,x92431,f104(x92431)),x92432),x92434))) % 183.16/183.19 [9638]~P23(f333(f61(x96382),x96384))+~P23(f333(f61(x96381),x96383))+~P23(f333(f333(f247(a875),f333(f37(x96382),x96384)),f333(f37(x96381),x96383)))+P23(f333(f333(f247(f882(x96381,a870)),f333(f312(x96382,x96381,f349(x96383,x96381,x96384,x96382)),x96384)),x96383)) % 183.16/183.19 [9289]~P23(f333(f333(f335(x92891),x92892),x92894))+P23(f333(f333(f335(x92891),x92892),x92893))+~P23(f333(f333(f248(f882(x92891,a870)),x92894),f333(f333(f311(x92891),x92892),x92893)))+P23(f333(f333(f248(f882(x92891,a870)),f333(f333(f22(f882(x92891,a870)),x92894),f333(f333(f311(x92891),x92892),f196(f882(x92891,a870))))),x92893)) % 183.16/183.19 [9450]~P23(f333(f333(f335(x94501),x94502),x94504))+P23(f333(f333(f335(x94501),x94502),x94503))+P23(f333(f333(f248(f882(x94501,a870)),x94504),f333(f333(f311(x94501),x94502),x94503)))+~P23(f333(f333(f248(f882(x94501,a870)),f333(f333(f22(f882(x94501,a870)),x94504),f333(f333(f311(x94501),x94502),f196(f882(x94501,a870))))),x94503)) % 183.16/183.19 [9479]P23(f333(f333(f335(x94791),x94792),x94793))+~P23(f333(f333(f247(f882(x94791,a870)),x94794),x94793))+P23(f333(f333(f248(f882(x94791,a870)),x94794),f333(f333(f311(x94791),x94792),x94793)))+~P23(f333(f333(f248(f882(x94791,a870)),f333(f333(f22(f882(x94791,a870)),x94794),f333(f333(f311(x94791),x94792),f196(f882(x94791,a870))))),x94793)) % 183.16/183.19 [9484]~P23(f333(f333(f335(x94841),x94843),x94842))+~P23(f333(f333(f248(f882(x94841,a870)),x94842),x94844))+P23(f333(f333(f248(f882(x94841,a870)),x94842),f333(f333(f311(x94841),x94843),x94844)))+~P23(f333(f333(f248(f882(x94841,a870)),f333(f333(f22(f882(x94841,a870)),x94842),f333(f333(f311(x94841),x94843),f196(f882(x94841,a870))))),x94844)) % 183.16/183.19 [9497]~P23(f333(f333(f247(f882(x94971,a870)),x94972),x94974))+~P23(f333(f333(f248(f882(x94971,a870)),x94972),x94974))+P23(f333(f333(f248(f882(x94971,a870)),x94972),f333(f333(f311(x94971),x94973),x94974)))+~P23(f333(f333(f248(f882(x94971,a870)),f333(f333(f22(f882(x94971,a870)),x94972),f333(f333(f311(x94971),x94973),f196(f882(x94971,a870))))),x94974)) % 183.16/183.19 [9541]~P108(x95412)+~P57(x95411)+~P23(f333(f333(f247(f882(x95411,x95412)),x95413),x95414))+P23(f333(f58(x95411),f333(f333(f18(x95411,x95412,a870),f333(f333(f8(x95412,f882(x95412,a870),x95411),f247(x95412)),x95413)),x95414))) % 183.16/183.19 [9685]~P108(x96852)+~P57(x96851)+P23(f333(f333(f247(f882(x96851,x96852)),x96853),x96854))+~P23(f333(f58(x96851),f333(f333(f18(x96851,x96852,a870),f333(f333(f8(x96852,f882(x96852,a870),x96851),f247(x96852)),x96853)),x96854))) % 183.16/183.19 [9855]E(f333(f333(f166(x98551),f333(f333(f166(f876(x98551)),f182(x98551,x98552)),x98553)),x98554),f333(f333(f166(x98551),f333(f333(f166(f876(x98551)),x98552),x98554)),x98553))+~P23(f333(f333(f248(a875),x98553),f333(f197(f876(f876(x98551))),f182(x98551,x98552))))+~P28(a875,f333(f170(a875),f333(f333(f155(f876(x98551),a875),f197(f876(x98551))),x98552)))+~P23(f333(f333(f248(a875),x98554),f333(f197(f876(f876(x98551))),f333(f137(f876(x98551),f333(f333(f8(a875,a870,f876(x98551)),f333(f248(a875),x98553)),f197(f876(x98551)))),x98552)))) % 183.16/183.19 [9884]~P23(f333(f333(f335(f881(a875,a875)),x98844),x98841))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x98844),x98842)),a34))+~P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98841),x98843)),a35))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98841),f333(f333(f311(f881(a875,a875)),x98842),x98843))),a35)) % 183.16/183.19 [9885]~P23(f333(f333(f335(f881(a875,a875)),x98854),x98851))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x98854),x98852)),a69))+~P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98851),x98853)),a70))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98851),f333(f333(f311(f881(a875,a875)),x98852),x98853))),a70)) % 183.16/183.19 [9769]~P108(x97692)+~P57(x97691)+~P23(f333(f333(f248(f882(x97691,x97692)),x97693),x97694))+P23(f333(f57(x97691),f333(f333(f8(a870,a870,x97691),a328),f333(f333(f18(x97691,x97692,a870),f333(f333(f8(x97692,f882(x97692,a870),x97691),a330),x97693)),x97694)))) % 183.16/183.19 [9898]~P23(f333(f333(f335(f881(a875,a875)),x98984),x98983))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x98981),x98984)),a34))+~P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98982),x98983)),a36))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f333(f333(f311(f881(a875,a875)),x98981),x98982)),x98983)),a36)) % 183.16/183.19 [9899]~P23(f333(f333(f335(f881(a875,a875)),x98994),x98993))+~P23(f333(f333(f335(f881(f881(a875,a875),f881(a875,a875))),f333(f333(f268(f881(a875,a875),f881(a875,a875)),x98991),x98994)),a69))+~P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),x98992),x98993)),a68))+P23(f333(f333(f335(f881(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870))),f333(f333(f268(f882(f881(a875,a875),a870),f882(f881(a875,a875),a870)),f333(f333(f311(f881(a875,a875)),x98991),x98992)),x98993)),a68)) % 183.16/183.19 [6021]~P2(x60214,x60211)+~P23(f333(f333(x60211,x60212),x60215))+P23(f333(f333(x60211,x60212),x60213))+~P23(f333(f333(x60211,x60215),x60213)) % 183.16/183.19 [5284]~P65(x52845)+E(x52841,x52842)+~E(x52843,x52844)+~E(f333(f333(f22(x52845),x52843),x52844),f333(f333(f22(x52845),x52841),x52842)) % 183.16/183.19 [6129]~P12(x61295,x61291,x61293)+E(f333(f333(x61291,x61292),f333(x61293,x61294)),f333(x61293,x61294))+~P23(f333(f61(x61295),x61294))+~P23(f333(f333(f335(x61295),x61292),x61294)) % 183.16/183.19 [6318]~P82(x63181)+~E(f333(f333(f22(x63181),x63184),x63185),f333(f333(f22(x63181),x63182),x63183))+~P23(f333(f333(f248(x63181),x63184),x63185))+P23(f333(f333(f248(x63181),x63182),x63183)) % 183.16/183.19 [6320]~P82(x63201)+~E(f333(f333(f22(x63201),x63204),x63205),f333(f333(f22(x63201),x63202),x63203))+~P23(f333(f333(f247(x63201),x63204),x63205))+P23(f333(f333(f247(x63201),x63202),x63203)) % 183.16/183.19 [7280]~E(x72802,f333(f333(f152(x72801),x72804),x72805))+P23(f333(f333(f335(f876(x72801)),x72802),f162(x72801,x72803)))+~P23(f333(f333(f335(f876(x72801)),x72805),f162(x72801,x72803)))+~P23(f333(f333(f335(x72801),x72804),x72803)) % 183.16/183.19 [7700]~E(f333(f197(f876(x77001)),x77003),f333(f197(f876(x77002)),x77004))+~E(f333(f333(f155(f881(x77001,x77002),x77002),f271(x77001,x77002)),x77005),x77004)+~E(f333(f333(f155(f881(x77001,x77002),x77001),f267(x77001,x77002)),x77005),x77003)+E(f333(f333(f184(x77001,x77002),x77003),x77004),x77005) % 183.16/183.19 [8042]~P108(x80421)+P23(f333(f333(f248(f882(x80421,a870)),f304(x80421,x80422,x80423)),f304(x80421,x80424,x80425)))+~P23(f333(f333(f247(x80421),x80424),x80425))+P23(f333(f333(f247(x80421),x80422),x80423)) % 183.16/183.19 [8138]~P108(x81381)+P23(f333(f333(f247(f882(x81381,a870)),f304(x81381,x81382,x81383)),f304(x81381,x81384,x81385)))+~P23(f333(f333(f247(x81381),x81383),x81385))+~P23(f333(f333(f247(x81381),x81384),x81382)) % 183.16/183.19 [8264]~P106(x82641)+P23(f333(f333(f247(x82641),x82642),x82643))+P23(f333(f333(f247(x82641),x82644),x82643))+~P23(f333(f333(f247(f882(x82641,a870)),f333(f303(x82641,x82643),x82642)),f333(f303(x82641,x82644),x82645))) % 183.16/183.19 [8265]~P106(x82651)+P23(f333(f333(f247(x82651),x82652),x82653))+P23(f333(f333(f247(x82651),x82652),x82654))+~P23(f333(f333(f247(f882(x82651,a870)),f333(f303(x82651,x82653),x82652)),f333(f303(x82651,x82655),x82654))) % 183.16/183.19 [8505]~P108(x85051)+~P23(f333(f333(f248(f882(x85051,a870)),f304(x85051,x85054,x85052)),f304(x85051,x85055,x85053)))+P23(f333(f333(f247(x85051),x85052),x85053))+~P23(f333(f333(f247(x85051),x85054),x85052)) % 183.16/183.19 [8506]~P108(x85061)+~P23(f333(f333(f247(f882(x85061,a870)),f304(x85061,x85064,x85062)),f304(x85061,x85065,x85063)))+P23(f333(f333(f247(x85061),x85062),x85063))+~P23(f333(f333(f247(x85061),x85064),x85062)) % 183.16/183.19 [8507]~P108(x85071)+~P23(f333(f333(f248(f882(x85071,a870)),f304(x85071,x85073,x85074)),f304(x85071,x85072,x85075)))+P23(f333(f333(f247(x85071),x85072),x85073))+~P23(f333(f333(f247(x85071),x85073),x85074)) % 183.16/183.19 [8508]~P108(x85081)+~P23(f333(f333(f247(f882(x85081,a870)),f304(x85081,x85083,x85084)),f304(x85081,x85082,x85085)))+P23(f333(f333(f247(x85081),x85082),x85083))+~P23(f333(f333(f247(x85081),x85083),x85084)) % 183.16/183.19 [6020]~P12(x60202,x60205,x60203)+E(x60201,f196(f882(x60202,a870)))+~P23(f333(f61(x60202),x60201))+E(f333(x60203,f333(f333(f311(x60202),x60204),x60201)),f333(f333(x60205,x60204),f333(x60203,x60201))) % 183.16/183.19 [6782]~E(x67821,x67822)+~E(f333(f333(f104(f882(x67823,a870)),x67824),x67825),f196(f882(x67823,a870)))+~P23(f333(f333(f335(x67823),x67822),x67825))+~P23(f333(f333(f335(x67823),x67821),x67824)) % 183.16/183.19 [6864]~P13(x68642,x68645,x68641)+~P23(f333(f61(x68642),x68644))+E(f333(x68641,f333(f333(f311(x68642),x68643),x68644)),f333(f333(f64(x68642,x68642,x68645),x68643),x68644))+P23(f333(f333(f335(x68642),x68643),x68644)) % 183.16/183.19 [6931]~P66(x69312)+~P23(f333(f61(x69311),x69315))+E(f333(f333(f6(x69311,x69312),x69313),f333(f333(f311(x69311),x69314),x69315)),f333(f333(f79(x69312),f333(x69313,x69314)),f333(f333(f6(x69311,x69312),x69313),x69315)))+P23(f333(f333(f335(x69311),x69314),x69315)) % 183.16/183.19 [6933]~P73(x69332)+~P23(f333(f61(x69331),x69335))+E(f333(f333(f9(x69331,x69332),x69333),f333(f333(f311(x69331),x69334),x69335)),f333(f333(f80(x69332),f333(x69333,x69334)),f333(f333(f9(x69331,x69332),x69333),x69335)))+P23(f333(f333(f335(x69331),x69334),x69335)) % 183.16/183.19 [7437]~P13(x74372,x74375,x74371)+~P23(f333(f61(x74372),x74374))+E(f333(x74371,f333(f333(f311(x74372),x74373),x74374)),x74373)+~E(f333(f333(f22(f882(x74372,a870)),x74374),f333(f333(f311(x74372),x74373),f196(f882(x74372,a870)))),f196(f882(x74372,a870))) % 183.16/183.19 [7753]~P23(f333(x77531,x77533))+~P23(f333(f333(f202(x77532),x77533),x77535))+~P23(f333(f333(f202(f31(x77531,x77532)),x77535),x77534))+P23(f333(f333(f202(f31(x77531,x77532)),x77533),x77534)) % 183.16/183.19 [7807]~P79(x78071)+~P23(f333(f333(f248(x78071),x78073),x78075))+~P23(f333(f333(f248(x78071),x78072),x78074))+P23(f333(f333(f248(x78071),f333(f333(f79(x78071),x78072),x78073)),f333(f333(f79(x78071),x78074),x78075))) % 183.16/183.19 [7808]~P79(x78081)+~P23(f333(f333(f247(x78081),x78082),x78084))+~P23(f333(f333(f248(x78081),x78083),x78085))+P23(f333(f333(f248(x78081),f333(f333(f79(x78081),x78082),x78083)),f333(f333(f79(x78081),x78084),x78085))) % 183.16/183.19 [7809]~P79(x78091)+~P23(f333(f333(f247(x78091),x78093),x78095))+~P23(f333(f333(f248(x78091),x78092),x78094))+P23(f333(f333(f248(x78091),f333(f333(f79(x78091),x78092),x78093)),f333(f333(f79(x78091),x78094),x78095))) % 183.16/183.19 [7810]~P98(x78101)+~P23(f333(f333(f247(x78101),x78103),x78105))+~P23(f333(f333(f247(x78101),x78102),x78104))+P23(f333(f333(f247(x78101),f333(f333(f113(x78101),x78102),x78103)),f333(f333(f113(x78101),x78104),x78105))) % 183.16/183.19 [7811]~P99(x78111)+~P23(f333(f333(f247(x78111),x78113),x78115))+~P23(f333(f333(f247(x78111),x78112),x78114))+P23(f333(f333(f247(x78111),f333(f333(f104(x78111),x78112),x78113)),f333(f333(f104(x78111),x78114),x78115))) % 183.16/183.19 [7812]~P81(x78121)+~P23(f333(f333(f247(x78121),x78123),x78125))+~P23(f333(f333(f247(x78121),x78122),x78124))+P23(f333(f333(f247(x78121),f333(f333(f79(x78121),x78122),x78123)),f333(f333(f79(x78121),x78124),x78125))) % 183.16/183.19 [7813]~P106(x78131)+~P23(f333(f333(f247(x78131),x78133),x78135))+~P23(f333(f333(f247(x78131),x78132),x78134))+P23(f333(f333(f247(x78131),f333(f333(f245(x78131),x78132),x78133)),f333(f333(f245(x78131),x78134),x78135))) % 183.16/183.19 [7814]~P106(x78141)+~P23(f333(f333(f247(x78141),x78143),x78145))+~P23(f333(f333(f247(x78141),x78142),x78144))+P23(f333(f333(f247(x78141),f333(f333(f246(x78141),x78142),x78143)),f333(f333(f246(x78141),x78144),x78145))) % 183.16/183.19 [7951]~P139(x79515)+E(x79511,x79512)+E(x79513,x79514)+~E(f333(f333(f79(x79515),f333(f333(f80(x79515),x79513),x79511)),f333(f333(f80(x79515),x79514),x79512)),f333(f333(f79(x79515),f333(f333(f80(x79515),x79513),x79512)),f333(f333(f80(x79515),x79514),x79511))) % 183.16/183.19 [8093]P29(x80931,x80932,x80933)+~P22(x80931,x80934,x80935)+~P29(x80931,x80932,f606(x80935,x80934,x80931,x80932))+~P23(f333(f333(f335(f874(x80931)),x80933),x80935)) % 183.16/183.19 [8162]~P106(x81624)+~P23(f333(f138(x81621),x81623))+P23(f333(f333(f335(x81621),x81622),f333(f174(x81621),x81623)))+P23(f333(f138(x81621),f333(f333(f149(x81621,x81624,x81625),x81622),x81623))) % 183.16/183.19 [8310]~P65(x83101)+E(f333(f333(f22(x83101),f333(f333(f6(a875,x83101),x83102),f333(f303(a875,x83103),x83104))),f333(f333(f6(a875,x83101),x83102),f333(f303(a875,x83103),x83105))),f333(f333(f6(a875,x83101),x83102),f333(f303(a875,x83105),x83104)))+~P23(f333(f333(f247(a875),x83105),x83104))+~P23(f333(f333(f247(a875),x83103),x83105)) % 183.16/183.19 [8311]~P66(x83111)+E(f333(f333(f79(x83111),f333(f333(f6(a875,x83111),x83112),f333(f303(a875,x83113),x83114))),f333(f333(f6(a875,x83111),x83112),f333(f303(a875,x83114),x83115))),f333(f333(f6(a875,x83111),x83112),f333(f303(a875,x83113),x83115)))+~P23(f333(f333(f247(a875),x83114),x83115))+~P23(f333(f333(f247(a875),x83113),x83114)) % 183.16/183.19 [8640]~P59(x86402)+E(x86401,f2(x86402))+E(x86403,f2(x86402))+E(f333(f333(f291(x86402),f333(f333(f22(x86402),f333(f333(f80(x86402),x86404),x86401)),f333(f333(f80(x86402),x86405),x86403))),f333(f333(f80(x86402),x86403),x86401)),f333(f333(f22(x86402),f333(f333(f291(x86402),x86404),x86403)),f333(f333(f291(x86402),x86405),x86401))) % 183.16/183.19 [8641]~P59(x86412)+E(x86411,f2(x86412))+E(x86413,f2(x86412))+E(f333(f333(f291(x86412),f333(f333(f79(x86412),f333(f333(f80(x86412),x86414),x86411)),f333(f333(f80(x86412),x86415),x86413))),f333(f333(f80(x86412),x86413),x86411)),f333(f333(f79(x86412),f333(f333(f291(x86412),x86414),x86413)),f333(f333(f291(x86412),x86415),x86411))) % 183.16/183.19 [8650]~E(x86502,f333(x86503,x86501))+E(x86501,f828(x86502,x86503,x86504,x86505))+~P20(x86505,x86504,x86503,f256(f882(x86505,a870)))+~P23(f333(f333(f335(x86504),x86502),f333(f312(x86505,x86504,x86503),f256(f882(x86505,a870))))) % 183.16/183.19 [8845]~P114(x88451)+~P23(f333(f333(f248(x88451),f333(f74(x88451),x88452)),x88454))+P23(f333(f333(f248(x88451),f333(f333(f80(x88451),f333(f74(x88451),x88452)),f333(f74(x88451),x88453))),f333(f333(f80(x88451),x88454),x88455)))+~P23(f333(f333(f248(x88451),f333(f74(x88451),x88453)),x88455)) % 183.16/183.19 [8862]~P22(x88621,x88625,x88624)+P29(x88621,x88622,x88623)+P23(f333(f333(f335(f874(x88621)),f606(x88624,x88625,x88621,x88622)),x88625))+~P23(f333(f333(f335(f874(x88621)),x88623),x88624)) % 183.16/183.19 [8969]~P20(x89691,x89693,x89695,x89692)+~P23(f333(f61(x89693),x89694))+P23(f333(f333(f247(a875),f333(f37(x89691),x89692)),f333(f37(x89693),x89694)))+~P23(f333(f333(f247(f882(x89693,a870)),f333(f312(x89691,x89693,x89695),x89692)),x89694)) % 183.16/183.19 [9038]~P66(x90382)+~P20(x90381,x90381,x90384,x90385)+~P23(f333(f61(x90381),x90385))+E(f333(f333(f6(x90381,x90382),f333(f72(x90381,x90382,x90381,x90383),x90384)),x90385),f333(f333(f6(x90381,x90382),x90383),f333(f312(x90381,x90381,x90384),x90385))) % 183.16/183.19 [9039]~P73(x90392)+~P20(x90391,x90391,x90394,x90395)+~P23(f333(f61(x90391),x90395))+E(f333(f333(f9(x90391,x90392),f333(f72(x90391,x90392,x90391,x90393),x90394)),x90395),f333(f333(f9(x90391,x90392),x90393),f333(f312(x90391,x90391,x90394),x90395))) % 183.16/183.19 [9153]~P37(x91531,x91532)+~P23(f333(f333(f335(x91531),x91533),x91534))+~P23(f333(f333(f335(x91531),x91535),x91534))+~P23(f333(f333(f335(f881(x91531,x91531)),f333(f333(f268(x91531,x91531),x91535),f631(x91532,x91531,x91534))),x91532)) % 183.16/183.19 [9191]~P20(x91912,x91913,x91915,x91911)+E(x91911,f196(f882(x91912,a870)))+E(f333(f312(x91913,x91912,f353(x91914,x91913,x91912,x91911)),x91914),x91911)+~P23(f333(f333(f247(f882(x91913,a870)),f333(f312(x91912,x91913,x91915),x91911)),x91914)) % 183.16/183.19 [9667]~P26(x96675)+~P106(x96675)+P23(f333(f333(f335(x96671),f867(x96672,x96673,x96671,x96674,x96675)),x96673))+~P23(f333(f333(f248(x96675),x96674),f333(f333(f41(x96671,x96675),x96673),x96672))) % 183.16/183.19 [9672]~P26(x96721)+~P106(x96721)+P23(f333(f333(f248(x96721),x96722),f333(x96723,f867(x96723,x96724,x96725,x96722,x96721))))+~P23(f333(f333(f248(x96721),x96722),f333(f333(f41(x96725,x96721),x96724),x96723))) % 183.16/183.19 [9749]~P67(x97491)+~P23(f333(f66(x97491,x97491,f80(x97491),x97492,x97493),x97495))+P23(f333(f333(f335(x97491),x97492),x97493))+P23(f333(f66(x97491,x97491,f80(x97491),x97494,f333(f333(f311(x97491),x97492),x97493)),f333(f333(f80(x97491),x97494),x97495))) % 183.16/183.19 [9966]~P66(x99662)+~P23(f333(f61(x99661),x99665))+E(f333(f333(f6(x99661,x99662),f333(f333(f7(x99661,x99662,x99662),f333(f333(f18(x99661,x99662,f882(x99662,x99662)),f333(f333(f8(a870,f882(x99662,f882(x99662,x99662)),x99661),f99(x99662)),f333(a330,x99663))),x99664)),f2(x99662))),x99665),f2(x99662))+P23(f333(f333(f335(x99661),x99663),x99665)) % 183.16/183.19 [9967]~P73(x99672)+~P23(f333(f61(x99671),x99675))+E(f333(f333(f9(x99671,x99672),f333(f333(f7(x99671,x99672,x99672),f333(f333(f18(x99671,x99672,f882(x99672,x99672)),f333(f333(f8(a870,f882(x99672,f882(x99672,x99672)),x99671),f99(x99672)),f333(a330,x99673))),x99674)),f77(x99672))),x99675),f77(x99672))+P23(f333(f333(f335(x99671),x99673),x99675)) % 183.16/183.19 [9968]~P66(x99682)+~P23(f333(f61(x99681),x99685))+E(f333(f333(f6(x99681,x99682),f333(f333(f7(x99681,x99682,x99682),f333(f333(f18(x99681,x99682,f882(x99682,x99682)),f333(f333(f8(a870,f882(x99682,f882(x99682,x99682)),x99681),f99(x99682)),f333(a330,x99683))),x99684)),f2(x99682))),x99685),f333(x99684,x99683))+~P23(f333(f333(f335(x99681),x99683),x99685)) % 183.16/183.19 [9969]~P73(x99692)+~P23(f333(f61(x99691),x99695))+E(f333(f333(f9(x99691,x99692),f333(f333(f7(x99691,x99692,x99692),f333(f333(f18(x99691,x99692,f882(x99692,x99692)),f333(f333(f8(a870,f882(x99692,f882(x99692,x99692)),x99691),f99(x99692)),f333(a330,x99693))),x99694)),f77(x99692))),x99695),f333(x99694,x99693))+~P23(f333(f333(f335(x99691),x99693),x99695)) % 183.16/183.19 [10024]~P66(x100242)+~P23(f333(f61(x100241),x100245))+E(f333(f333(f6(x100241,x100242),f333(f333(f7(x100241,x100242,x100242),f333(f333(f18(x100241,x100242,f882(x100242,x100242)),f333(f333(f8(a870,f882(x100242,f882(x100242,x100242)),x100241),f99(x100242)),f333(f333(f7(x100241,x100241,a870),a330),x100243))),x100244)),f2(x100242))),x100245),f2(x100242))+P23(f333(f333(f335(x100241),x100243),x100245)) % 183.16/183.19 [10025]~P73(x100252)+~P23(f333(f61(x100251),x100255))+E(f333(f333(f9(x100251,x100252),f333(f333(f7(x100251,x100252,x100252),f333(f333(f18(x100251,x100252,f882(x100252,x100252)),f333(f333(f8(a870,f882(x100252,f882(x100252,x100252)),x100251),f99(x100252)),f333(f333(f7(x100251,x100251,a870),a330),x100253))),x100254)),f77(x100252))),x100255),f77(x100252))+P23(f333(f333(f335(x100251),x100253),x100255)) % 183.16/183.19 [10027]~P66(x100272)+~P23(f333(f61(x100271),x100275))+E(f333(f333(f6(x100271,x100272),f333(f333(f7(x100271,x100272,x100272),f333(f333(f18(x100271,x100272,f882(x100272,x100272)),f333(f333(f8(a870,f882(x100272,f882(x100272,x100272)),x100271),f99(x100272)),f333(f333(f7(x100271,x100271,a870),a330),x100273))),x100274)),f2(x100272))),x100275),f333(x100274,x100273))+~P23(f333(f333(f335(x100271),x100273),x100275)) % 183.16/183.19 [10028]~P73(x100282)+~P23(f333(f61(x100281),x100285))+E(f333(f333(f9(x100281,x100282),f333(f333(f7(x100281,x100282,x100282),f333(f333(f18(x100281,x100282,f882(x100282,x100282)),f333(f333(f8(a870,f882(x100282,f882(x100282,x100282)),x100281),f99(x100282)),f333(f333(f7(x100281,x100281,a870),a330),x100283))),x100284)),f77(x100282))),x100285),f333(x100284,x100283))+~P23(f333(f333(f335(x100281),x100283),x100285)) % 183.16/183.19 [7806]~P65(x78062)+~P23(f333(f61(x78061),x78064))+E(f333(f333(f6(x78061,x78062),x78063),f333(f333(f22(f882(x78061,a870)),x78064),f333(f333(f311(x78061),x78065),f196(f882(x78061,a870))))),f333(f333(f6(x78061,x78062),x78063),x78064))+P23(f333(f333(f335(x78061),x78065),x78064)) % 183.16/183.19 [8316]~P103(x83162)+~P23(f333(f61(x83161),x83164))+E(f333(f333(f6(x83161,x83162),x83163),f333(f333(f22(f882(x83161,a870)),x83164),f333(f333(f311(x83161),x83165),f196(f882(x83161,a870))))),f333(f333(f22(x83162),f333(f333(f6(x83161,x83162),x83163),x83164)),f333(x83163,x83165)))+~P23(f333(f333(f335(x83161),x83165),x83164)) % 183.16/183.19 [8317]~P65(x83172)+~P23(f333(f61(x83171),x83174))+E(f333(f333(f6(x83171,x83172),x83173),f333(f333(f22(f882(x83171,a870)),x83174),f333(f333(f311(x83171),x83175),f196(f882(x83171,a870))))),f333(f333(f22(x83172),f333(f333(f6(x83171,x83172),x83173),x83174)),f333(x83173,x83175)))+~P23(f333(f333(f335(x83171),x83175),x83174)) % 183.16/183.19 [8348]~P65(x83481)+~P23(f333(f61(x83482),x83484))+E(f333(f333(f22(x83481),f333(f333(f6(x83482,x83481),x83483),x83484)),f333(f333(f6(x83482,x83481),x83483),x83485)),f333(f333(f6(x83482,x83481),x83483),f333(f333(f22(f882(x83482,a870)),x83484),x83485)))+~P23(f333(f333(f247(f882(x83482,a870)),x83485),x83484)) % 183.16/183.19 [8368]P23(f333(f61(x83681),f333(x83682,x83683)))+~P23(f333(f61(x83684),x83685))+~P23(f333(f333(f335(x83684),x83683),x83685))+~P23(f333(f61(x83681),f333(f333(f41(x83684,f882(x83681,a870)),x83685),x83682))) % 183.16/183.19 [8808]~P3(x88081,x88085,x88084)+~E(f333(f287(x88081,x88081,x88084),f333(f333(f311(x88081),x88082),f196(f882(x88081,a870)))),f333(f287(x88081,x88081,x88084),f333(f333(f311(x88081),x88083),f196(f882(x88081,a870)))))+~P23(f333(f333(f335(x88081),x88083),x88085))+P23(f333(f333(f335(f881(x88081,x88081)),f333(f333(f268(x88081,x88081),x88082),x88083)),x88084)) % 183.16/183.19 [9110]~P23(f333(x91101,x91105))+P23(f333(x91101,f427(x91101,x91102,x91103,x91104)))+P23(f333(x91101,f409(x91101,x91102,x91103,x91104)))+~P23(f333(f333(f335(x91104),x91105),f333(f333(f113(f882(x91104,a870)),x91103),x91102))) % 183.16/183.19 [9294]~P23(f333(x92941,x92945))+P23(f333(x92941,f409(x92941,x92942,x92943,x92944)))+P23(f333(f333(f335(x92944),f427(x92941,x92942,x92943,x92944)),x92942))+~P23(f333(f333(f335(x92944),x92945),f333(f333(f113(f882(x92944,a870)),x92943),x92942))) % 183.16/183.19 [9295]~P23(f333(x92951,x92955))+P23(f333(x92951,f427(x92951,x92952,x92953,x92954)))+P23(f333(f333(f335(x92954),f409(x92951,x92952,x92953,x92954)),x92953))+~P23(f333(f333(f335(x92954),x92955),f333(f333(f113(f882(x92954,a870)),x92953),x92952))) % 183.16/183.19 [9301]P23(f333(x93011,x93012))+~P23(f333(x93011,f397(x93011,x93013,x93014,x93015)))+~P23(f333(x93011,f386(x93011,x93013,x93014,x93015)))+~P23(f333(f333(f335(x93015),x93012),f333(f333(f113(f882(x93015,a870)),x93014),x93013))) % 183.16/183.19 [9343]E(x93431,x93432)+~P23(f333(f333(f335(f881(x93433,x93433)),f333(f333(f268(x93433,x93433),x93431),x93432)),f309(x93433,x93435)))+P23(f333(f333(f335(x93433),x93431),x93434))+~P23(f333(f333(f247(f882(f881(x93433,x93433),a870)),x93435),f333(f333(f270(x93433,x93433),x93434),f333(f16(f882(x93433,a870),x93433),x93434)))) % 183.16/183.19 [9362]P23(f333(x93621,x93622))+~P23(f333(x93621,f386(x93621,x93624,x93625,x93623)))+P23(f333(f333(f335(x93623),f397(x93621,x93624,x93625,x93623)),x93624))+~P23(f333(f333(f335(x93623),x93622),f333(f333(f113(f882(x93623,a870)),x93625),x93624))) % 183.16/183.19 [9363]P23(f333(x93631,x93632))+~P23(f333(x93631,f397(x93631,x93634,x93635,x93633)))+P23(f333(f333(f335(x93633),f386(x93631,x93634,x93635,x93633)),x93635))+~P23(f333(f333(f335(x93633),x93632),f333(f333(f113(f882(x93633,a870)),x93635),x93634))) % 183.16/183.19 [9424]P23(f333(x94241,x94242))+P23(f333(f333(f335(x94243),f397(x94241,x94244,x94245,x94243)),x94244))+P23(f333(f333(f335(x94243),f386(x94241,x94244,x94245,x94243)),x94245))+~P23(f333(f333(f335(x94243),x94242),f333(f333(f113(f882(x94243,a870)),x94245),x94244))) % 183.16/183.19 [9426]~P23(f333(x94262,x94265))+P23(f333(f333(f335(x94261),f427(x94262,x94263,x94264,x94261)),x94263))+P23(f333(f333(f335(x94261),f409(x94262,x94263,x94264,x94261)),x94264))+~P23(f333(f333(f335(x94261),x94265),f333(f333(f113(f882(x94261,a870)),x94264),x94263))) % 183.16/183.19 [9574]~P3(x95741,x95745,x95744)+~P23(f333(f333(f335(x95741),x95743),x95745))+P23(f333(f333(f335(f881(x95741,x95741)),f333(f333(f268(x95741,x95741),x95742),x95743)),x95744))+~P23(f333(f333(f247(f882(x95741,a870)),f333(f287(x95741,x95741,x95744),f333(f333(f311(x95741),x95743),f196(f882(x95741,a870))))),f333(f287(x95741,x95741,x95744),f333(f333(f311(x95741),x95742),f196(f882(x95741,a870)))))) % 183.16/183.19 [9697]~P26(x96975)+~P106(x96975)+P23(f333(f333(f335(x96971),f869(x96972,x96973,x96974,x96971,x96975)),x96974))+~P23(f333(f333(f248(x96975),f333(f333(f42(x96971,x96975),x96974),x96973)),x96972)) % 183.16/183.19 [9729]~P81(x97295)+~P78(x97295)+P23(f333(f333(f335(x97291),f713(x97292,x97293,x97294,x97291,x97295)),f333(f174(x97291),x97294)))+P23(f333(f333(f247(x97295),f333(f167(x97295),f333(f333(f155(x97291,x97295),x97293),x97294))),f333(f167(x97295),f333(f333(f155(x97291,x97295),x97292),x97294)))) % 183.16/183.19 [9844]~P26(x98441)+~P106(x98441)+P23(f333(f333(f248(x98441),f333(x98442,f869(x98443,x98442,x98444,x98445,x98441))),x98443))+~P23(f333(f333(f248(x98441),f333(f333(f42(x98445,x98441),x98444),x98442)),x98443)) % 183.16/183.19 [9984]~P81(x99841)+~P78(x99841)+~P23(f333(f333(f247(x99841),f333(x99843,f713(x99845,x99843,x99844,x99842,x99841))),f333(x99845,f713(x99845,x99843,x99844,x99842,x99841))))+P23(f333(f333(f247(x99841),f333(f167(x99841),f333(f333(f155(x99842,x99841),x99843),x99844))),f333(f167(x99841),f333(f333(f155(x99842,x99841),x99845),x99844)))) % 183.16/183.19 [8658]~P66(x86581)+~P23(f333(f61(x86584),x86585))+~P23(f333(f333(f335(x86584),x86583),x86585))+E(f333(f333(f79(x86581),f333(x86582,x86583)),f333(f333(f6(x86584,x86581),x86582),f333(f333(f22(f882(x86584,a870)),x86585),f333(f333(f311(x86584),x86583),f196(f882(x86584,a870)))))),f333(f333(f6(x86584,x86581),x86582),x86585)) % 183.16/183.19 [8659]~P73(x86591)+~P23(f333(f61(x86594),x86595))+~P23(f333(f333(f335(x86594),x86593),x86595))+E(f333(f333(f80(x86591),f333(x86592,x86593)),f333(f333(f9(x86594,x86591),x86592),f333(f333(f22(f882(x86594,a870)),x86595),f333(f333(f311(x86594),x86593),f196(f882(x86594,a870)))))),f333(f333(f9(x86594,x86591),x86592),x86595)) % 183.16/183.19 [8714]~P13(x87141,x87144,x87145)+~P23(f333(f61(x87141),x87142))+E(f333(f333(f22(f882(x87141,a870)),x87142),f333(f333(f311(x87141),x87143),f196(f882(x87141,a870)))),f196(f882(x87141,a870)))+E(f333(f333(x87144,x87143),f333(x87145,f333(f333(f22(f882(x87141,a870)),x87142),f333(f333(f311(x87141),x87143),f196(f882(x87141,a870)))))),f333(x87145,f333(f333(f311(x87141),x87143),x87142))) % 183.16/183.19 [9090]~P66(x90901)+~P23(f333(f61(x90902),x90905))+~P23(f333(f61(x90902),x90904))+E(f333(f333(f79(x90901),f333(f333(f6(x90902,x90901),x90903),f333(f333(f113(f882(x90902,a870)),x90904),x90905))),f333(f333(f6(x90902,x90901),x90903),f333(f333(f104(f882(x90902,a870)),x90904),x90905))),f333(f333(f79(x90901),f333(f333(f6(x90902,x90901),x90903),x90904)),f333(f333(f6(x90902,x90901),x90903),x90905))) % 183.16/183.19 [9092]~P73(x90921)+~P23(f333(f61(x90922),x90925))+~P23(f333(f61(x90922),x90924))+E(f333(f333(f80(x90921),f333(f333(f9(x90922,x90921),x90923),f333(f333(f113(f882(x90922,a870)),x90924),x90925))),f333(f333(f9(x90922,x90921),x90923),f333(f333(f104(f882(x90922,a870)),x90924),x90925))),f333(f333(f80(x90921),f333(f333(f9(x90922,x90921),x90923),x90924)),f333(f333(f9(x90922,x90921),x90923),x90925))) % 183.16/183.19 [9233]~P65(x92331)+~P23(f333(f61(x92332),x92335))+~P23(f333(f61(x92332),x92334))+E(f333(f333(f22(x92331),f333(f333(f79(x92331),f333(f333(f6(x92332,x92331),x92333),x92334)),f333(f333(f6(x92332,x92331),x92333),x92335))),f333(f333(f6(x92332,x92331),x92333),f333(f333(f104(f882(x92332,a870)),x92334),x92335))),f333(f333(f6(x92332,x92331),x92333),f333(f333(f113(f882(x92332,a870)),x92334),x92335))) % 183.16/183.19 [9435]~P20(x94351,x94352,x94353,x94355)+~P20(x94351,x94352,x94353,x94354)+P20(x94351,x94352,x94353,f333(f333(f113(f882(x94351,a870)),x94354),x94355))+~E(f333(f333(f104(f882(x94352,a870)),f333(f312(x94351,x94352,x94353),f333(f333(f22(f882(x94351,a870)),x94354),x94355))),f333(f312(x94351,x94352,x94353),f333(f333(f22(f882(x94351,a870)),x94355),x94354))),f196(f882(x94352,a870))) % 183.16/183.19 [9549]E(x95491,f2(a1))+~P23(f333(f333(f248(a1),f2(a1)),x95493))+~P23(f333(f48(x95492,x95491),f333(f333(f268(a1,a1),x95494),x95495)))+P23(f333(f48(x95492,f333(f333(f80(a1),x95491),x95493)),f333(f333(f268(a1,a1),f333(f333(f38(a1),x95494),x95493)),f333(f333(f79(a1),f333(f333(f80(a1),x95491),f44(a1,x95494,x95493))),x95495)))) % 183.16/183.19 [9557]~P23(f333(f333(f248(a875),f2(a875)),x95573))+~P23(f333(f333(f248(a875),f2(a875)),x95572))+~P23(f333(f47(x95571,x95572),f333(f333(f268(a875,a875),x95574),x95575)))+P23(f333(f47(x95571,f333(f333(f80(a875),x95572),x95573)),f333(f333(f268(a875,a875),f333(f333(f38(a875),x95574),x95573)),f333(f333(f79(a875),f333(f333(f80(a875),x95572),f44(a875,x95574,x95573))),x95575)))) % 183.16/183.19 [9606]~P73(x96061)+~P23(f333(f61(x96062),x96065))+~P23(f333(f61(x96062),x96064))+E(f333(f333(f80(x96061),f333(f333(f333(f65(x96061,x96062,f80(x96061)),x96063),f77(x96061)),f333(f333(f113(f882(x96062,a870)),x96064),x96065))),f333(f333(f333(f65(x96061,x96062,f80(x96061)),x96063),f77(x96061)),f333(f333(f104(f882(x96062,a870)),x96064),x96065))),f333(f333(f80(x96061),f333(f333(f333(f65(x96061,x96062,f80(x96061)),x96063),f77(x96061)),x96064)),f333(f333(f333(f65(x96061,x96062,f80(x96061)),x96063),f77(x96061)),x96065))) % 183.16/183.19 [9608]~E(f333(f333(f177(x96081),x96085),x96082),f333(f333(f177(x96081),x96085),x96083))+P23(f333(f333(f335(f881(f876(x96081),f876(x96081))),f333(f333(f268(f876(x96081),f876(x96081)),x96082),x96083)),f148(x96081,x96084)))+~P23(f333(f333(f248(a875),x96085),f333(f333(f245(a875),f333(f197(f876(x96081)),x96082)),f333(f197(f876(x96081)),x96083))))+~P23(f333(f333(f335(f881(x96081,x96081)),f333(f333(f268(x96081,x96081),f333(f333(f166(x96081),x96082),x96085)),f333(f333(f166(x96081),x96083),x96085))),x96084)) % 183.16/183.19 [9717]~P81(x97175)+~P141(x97175)+P23(f333(f333(f335(x97171),f382(x97172,x97173,x97174,x97171,x97175)),x97174))+P23(f333(f333(f247(x97175),f333(f333(f6(x97171,x97175),x97173),x97174)),f333(f333(f80(x97175),f333(f103(x97175),f333(f37(x97171),x97174))),x97172))) % 183.16/183.19 [9912]~P81(x99121)+~P141(x99121)+~P23(f333(f333(f247(x99121),f333(x99123,f382(x99125,x99123,x99124,x99122,x99121))),x99125))+P23(f333(f333(f247(x99121),f333(f333(f6(x99122,x99121),x99123),x99124)),f333(f333(f80(x99121),f333(f103(x99121),f333(f37(x99122),x99124))),x99125))) % 183.16/183.19 [8686]E(f333(f333(f135(x86861),x86862),x86863),f333(f333(f135(x86861),x86864),x86865))+~E(f333(f333(f177(x86861),f333(f197(f876(x86861)),x86862)),x86864),x86862)+~E(f333(f333(f135(x86861),f333(f333(f139(x86861),f333(f197(f876(x86861)),x86862)),x86864)),x86865),x86863)+P23(f333(f333(f247(a875),f333(f197(f876(x86861)),x86864)),f333(f197(f876(x86861)),x86862))) % 183.16/183.19 [8806]E(f333(f333(f135(x88061),x88062),x88063),f333(f333(f135(x88061),x88064),x88065))+~E(f333(f333(f177(x88061),f333(f197(f876(x88061)),x88062)),x88064),x88062)+~E(x88063,f333(f333(f135(x88061),f333(f333(f139(x88061),f333(f197(f876(x88061)),x88062)),x88064)),x88065))+~P23(f333(f333(f247(a875),f333(f197(f876(x88061)),x88062)),f333(f197(f876(x88061)),x88064))) % 183.16/183.19 [10047]~P23(f333(x100475,x100474))+~P23(f333(f61(x100472),f333(f253(x100472),x100475)))+P23(f333(f61(x100471),f333(f253(x100471),f333(f333(f7(x100471,x100472,a870),x100473),x100474))))+~P23(f333(f61(x100471),f333(f253(x100471),f333(f333(f8(f882(x100472,a870),a870,x100471),f86(x100472)),f333(f333(f8(f882(x100472,a870),f882(x100472,a870),x100471),f333(f18(x100472,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100472),a331),x100475))),x100473))))) % 183.16/183.19 [8483]~P14(x84835,x84831,x84836,x84832)+E(f333(f72(x84831,x84831,x84831,f333(x84832,x84833)),f333(x84832,x84834)),f333(f72(x84831,x84831,x84831,f333(x84832,x84834)),f333(x84832,x84833)))+~P23(f333(f61(x84835),x84834))+~P23(f333(f61(x84835),x84833)) % 183.16/183.19 [7862]~P20(x78621,x78622,x78624,x78623)+~E(f333(x78624,x78626),x78625)+E(f333(f76(x78621,x78622,x78623,x78624),x78625),x78626)+~P23(f333(f333(f335(x78621),x78626),x78623)) % 183.16/183.19 [8062]~P15(x80626,x80621,x80624,x80622)+E(f333(f72(x80621,x80621,x80621,f333(x80622,x80623)),f333(x80624,x80625)),f333(x80622,x80623))+~P23(f333(f61(x80626),x80623))+~P23(f333(f333(f335(x80626),x80625),x80623)) % 183.16/183.19 [9280]~P14(x92803,x92801,x92806,x92802)+E(f333(f72(x92801,x92801,x92801,f333(x92802,f333(f333(f22(f882(x92803,a870)),x92804),f333(f333(f311(x92803),x92805),f196(f882(x92803,a870)))))),f333(x92806,x92805)),f333(x92802,x92804))+~P23(f333(f61(x92803),x92804))+~P23(f333(f333(f335(x92803),x92805),x92804)) % 183.16/183.19 [6936]~P56(x69361)+~E(f44(x69361,x69363,x69364),f44(x69361,x69366,x69364))+~E(f44(x69361,x69362,x69364),f44(x69361,x69365,x69364))+E(f44(x69361,f333(f333(f22(x69361),x69362),x69363),x69364),f44(x69361,f333(f333(f22(x69361),x69365),x69366),x69364)) % 183.16/183.19 [6937]~P55(x69371)+~E(f44(x69371,x69373,x69374),f44(x69371,x69376,x69374))+~E(f44(x69371,x69372,x69374),f44(x69371,x69375,x69374))+E(f44(x69371,f333(f333(f79(x69371),x69372),x69373),x69374),f44(x69371,f333(f333(f79(x69371),x69375),x69376),x69374)) % 183.16/183.19 [6938]~P55(x69381)+~E(f44(x69381,x69383,x69384),f44(x69381,x69386,x69384))+~E(f44(x69381,x69382,x69384),f44(x69381,x69385,x69384))+E(f44(x69381,f333(f333(f80(x69381),x69382),x69383),x69384),f44(x69381,f333(f333(f80(x69381),x69385),x69386),x69384)) % 183.16/183.19 [7755]~P11(x77551,x77552,x77553)+~P23(f333(f61(x77551),x77556))+E(f333(f333(f64(x77551,x77552,x77553),x77554),f333(f333(f311(x77551),x77555),x77556)),f333(f333(f64(x77551,x77552,x77553),f333(f333(x77553,x77555),x77554)),x77556))+P23(f333(f333(f335(x77551),x77555),x77556)) % 183.16/183.19 [7820]~P26(x78201)+P23(f333(f333(f247(x78201),x78202),f333(x78203,x78204)))+~P23(f333(f333(f335(x78205),x78204),x78206))+~P23(f333(f333(f247(x78201),x78202),f333(f333(f42(x78205,x78201),x78206),x78203))) % 183.16/183.19 [7981]~P11(x79811,x79812,x79813)+~P23(f333(f61(x79811),x79816))+E(f333(f333(f64(x79811,x79812,x79813),x79814),f333(f333(f311(x79811),x79815),x79816)),f333(f333(x79813,x79815),f333(f333(f64(x79811,x79812,x79813),x79814),x79816)))+P23(f333(f333(f335(x79811),x79815),x79816)) % 183.16/183.19 [8078]~P106(x80783)+~P23(f333(x80782,x80785))+~P28(x80783,f333(f333(f155(x80781,x80783),x80784),x80786))+E(f333(f137(x80781,x80782),f333(f333(f149(x80781,x80783,x80784),x80785),x80786)),f333(f333(f149(x80781,x80783,x80784),x80785),f333(f137(x80781,x80782),x80786))) % 183.16/183.19 [8101]E(x81011,x81012)+E(x81013,f2(a1))+~P23(f333(f48(x81014,x81013),f333(f333(f268(a1,a1),x81015),x81012)))+~P23(f333(f48(x81014,x81013),f333(f333(f268(a1,a1),x81016),x81011))) % 183.16/183.19 [8102]E(x81021,x81022)+E(x81023,f2(a1))+~P23(f333(f48(x81024,x81023),f333(f333(f268(a1,a1),x81022),x81025)))+~P23(f333(f48(x81024,x81023),f333(f333(f268(a1,a1),x81021),x81026))) % 183.16/183.19 [8122]~P14(x81222,x81225,x81226,x81221)+~P23(f333(f61(x81222),x81224))+E(f333(x81221,f333(f333(f311(x81222),x81223),x81224)),f333(f72(x81225,x81225,x81225,f333(x81221,x81224)),f333(x81226,x81223)))+P23(f333(f333(f335(x81222),x81223),x81224)) % 183.16/183.19 [8351]~P15(x83515,x83511,x83516,x83512)+E(f333(f72(x83511,x83511,x83511,f333(x83512,x83513)),f333(x83512,x83514)),f333(x83512,x83513))+~P23(f333(f61(x83515),x83513))+~P23(f333(f333(f247(f882(x83515,a870)),x83514),x83513)) % 183.16/183.19 [9481]~P20(x94811,x94812,x94814,x94813)+~P23(f333(f333(f335(x94812),x94815),f333(f312(x94811,x94812,x94814),x94813)))+P23(f333(f333(f335(x94811),f333(f76(x94811,x94812,x94813,x94814),x94815)),x94816))+~P23(f333(f333(f247(f882(x94811,a870)),x94813),x94816)) % 183.16/183.19 [9857]~P66(x98572)+~E(f380(x98571,x98573,x98575,x98576,x98574,x98572),f381(x98571,x98573,x98575,x98576,x98574,x98572))+~P23(f333(f61(x98574),x98576))+E(f333(f333(f6(x98571,x98572),x98573),f333(f312(x98574,x98571,x98575),x98576)),f333(f333(f6(x98574,x98572),f333(f72(x98571,x98572,x98574,x98573),x98575)),x98576)) % 183.16/183.19 [9894]~P66(x98946)+E(f333(x98941,f380(x98942,x98943,x98941,x98944,x98945,x98946)),f333(x98941,f381(x98942,x98943,x98941,x98944,x98945,x98946)))+E(f333(f333(f6(x98942,x98946),x98943),f333(f312(x98945,x98942,x98941),x98944)),f333(f333(f6(x98945,x98946),f333(f72(x98942,x98946,x98945,x98943),x98941)),x98944))+~P23(f333(f61(x98945),x98944)) % 183.16/183.19 [9934]~P66(x99342)+~E(f333(x99343,f333(x99345,f381(x99341,x99343,x99345,x99346,x99344,x99342))),f2(x99342))+~P23(f333(f61(x99344),x99346))+E(f333(f333(f6(x99341,x99342),x99343),f333(f312(x99344,x99341,x99345),x99346)),f333(f333(f6(x99344,x99342),f333(f72(x99341,x99342,x99344,x99343),x99345)),x99346)) % 183.16/183.19 [9992]~P66(x99922)+~P23(f333(f61(x99924),x99926))+E(f333(f333(f6(x99921,x99922),x99923),f333(f312(x99924,x99921,x99925),x99926)),f333(f333(f6(x99924,x99922),f333(f72(x99921,x99922,x99924,x99923),x99925)),x99926))+P23(f333(f333(f335(x99924),f381(x99921,x99923,x99925,x99926,x99924,x99922)),x99926)) % 183.16/183.19 [9993]~P66(x99932)+~P23(f333(f61(x99934),x99936))+E(f333(f333(f6(x99931,x99932),x99933),f333(f312(x99934,x99931,x99935),x99936)),f333(f333(f6(x99934,x99932),f333(f72(x99931,x99932,x99934,x99933),x99935)),x99936))+P23(f333(f333(f335(x99934),f380(x99931,x99933,x99935,x99936,x99934,x99932)),x99936)) % 183.16/183.19 [10106]~P73(x101061)+~P23(f333(f61(x101062),x101066))+E(f333(f333(f333(f65(x101061,x101062,f80(x101061)),f333(f333(f18(x101062,f882(x101063,a870),x101061),f333(f333(f7(x101062,x101061,f882(f882(x101063,a870),x101061)),f333(f333(f8(f882(x101063,x101061),f882(x101061,f882(f882(x101063,a870),x101061)),x101062),f65(x101061,x101063,f80(x101061))),x101064)),f77(x101061))),x101065)),f77(x101061)),x101066),f333(f333(f333(f65(x101061,f881(x101062,x101063),f80(x101061)),f333(f272(x101062,x101063,x101061),x101064)),f77(x101061)),f333(f333(f270(x101062,x101063),x101066),x101065)))+P23(f333(f333(f335(x101062),f581(x101064,x101065,x101063,x101066,x101062,x101061)),x101066)) % 183.16/183.19 [10124]~P73(x101241)+~P23(f333(f61(x101242),x101246))+E(f333(f333(f333(f65(x101241,x101242,f80(x101241)),f333(f333(f18(x101242,f882(x101243,a870),x101241),f333(f333(f7(x101242,x101241,f882(f882(x101243,a870),x101241)),f333(f333(f8(f882(x101243,x101241),f882(x101241,f882(f882(x101243,a870),x101241)),x101242),f65(x101241,x101243,f80(x101241))),x101244)),f77(x101241))),x101245)),f77(x101241)),x101246),f333(f333(f333(f65(x101241,f881(x101242,x101243),f80(x101241)),f333(f272(x101242,x101243,x101241),x101244)),f77(x101241)),f333(f333(f270(x101242,x101243),x101246),x101245)))+~P23(f333(f61(x101243),f333(x101245,f581(x101244,x101245,x101243,x101246,x101242,x101241)))) % 183.16/183.19 [8263]~P15(x82632,x82635,x82636,x82631)+~P23(f333(f61(x82632),x82634))+~P23(f333(f61(x82632),x82633))+E(f333(x82631,f333(f333(f113(f882(x82632,a870)),x82633),x82634)),f333(f72(x82635,x82635,x82635,f333(x82631,x82633)),f333(x82631,x82634))) % 183.16/183.19 [8484]~P26(x84841)+P23(f333(f333(f247(x84841),f333(x84842,x84843)),x84844))+~P23(f333(f333(f335(x84845),x84843),x84846))+~P23(f333(f333(f247(x84841),f333(f333(f41(x84845,x84841),x84846),x84842)),x84844)) % 183.16/183.19 [8886]~P20(x88862,x88861,x88863,x88866)+E(f333(f333(f22(f882(x88861,a870)),f333(f312(x88862,x88861,x88863),x88864)),f333(f312(x88862,x88861,x88863),x88865)),f333(f312(x88862,x88861,x88863),f333(f333(f22(f882(x88862,a870)),x88864),x88865)))+~P23(f333(f333(f247(f882(x88862,a870)),x88865),x88866))+~P23(f333(f333(f247(f882(x88862,a870)),x88864),x88866)) % 183.16/183.19 [8887]~P20(x88872,x88871,x88873,x88876)+E(f333(f333(f104(f882(x88871,a870)),f333(f312(x88872,x88871,x88873),x88874)),f333(f312(x88872,x88871,x88873),x88875)),f333(f312(x88872,x88871,x88873),f333(f333(f104(f882(x88872,a870)),x88874),x88875)))+~P23(f333(f333(f247(f882(x88872,a870)),x88875),x88876))+~P23(f333(f333(f247(f882(x88872,a870)),x88874),x88876)) % 183.16/183.19 [8927]~P23(f333(x89271,x89273))+~P23(f333(f333(f333(f333(a204,x89272),x89273),x89274),x89276))+~P23(f333(f333(f333(f333(a204,f31(x89271,x89272)),x89276),x89274),x89275))+P23(f333(f333(f333(f333(a204,f31(x89271,x89272)),x89273),x89274),x89275)) % 183.16/183.19 [9155]E(x91551,x91552)+~P49(x91553,x91554,x91555)+~P23(f333(f333(f335(f881(x91553,x91554)),f333(f333(f268(x91553,x91554),x91556),x91552)),x91555))+~P23(f333(f333(f335(f881(x91553,x91554)),f333(f333(f268(x91553,x91554),x91556),x91551)),x91555)) % 183.16/183.19 [9929]~P67(x99291)+~E(f333(x99293,f846(x99294,x99296,x99293,x99295,x99292,x99291)),f333(x99296,f846(x99294,x99296,x99293,x99295,x99292,x99291)))+~P23(f333(f61(x99292),x99295))+E(f333(f333(f333(f65(x99291,x99292,f80(x99291)),x99293),x99294),x99295),f333(f333(f333(f65(x99291,x99292,f80(x99291)),x99296),x99294),x99295)) % 183.16/183.19 [9990]~P67(x99901)+~P23(f333(f61(x99902),x99905))+E(f333(f333(f333(f65(x99901,x99902,f80(x99901)),x99903),x99904),x99905),f333(f333(f333(f65(x99901,x99902,f80(x99901)),x99906),x99904),x99905))+P23(f333(f333(f335(x99902),f846(x99904,x99903,x99906,x99905,x99902,x99901)),x99905)) % 183.16/183.19 [8699]~P67(x86991)+~P23(f333(f61(x86992),x86996))+P23(f333(f333(f335(x86992),x86995),x86996))+E(f333(f333(f333(f65(x86991,x86992,f80(x86991)),x86993),x86994),f333(f333(f311(x86992),x86995),x86996)),f333(f333(f80(x86991),f333(x86993,x86995)),f333(f333(f333(f65(x86991,x86992,f80(x86991)),x86993),x86994),x86996))) % 183.16/183.19 [8745]~P3(x87451,x87456,x87453)+~P8(x87451,f882(x87452,a870),x87453,x87455)+~P23(f333(f333(f335(x87451),x87454),x87456))+E(f333(f333(f41(x87451,f882(x87452,a870)),f333(f287(x87451,x87451,x87453),f333(f333(f311(x87451),x87454),f196(f882(x87451,a870))))),x87455),f333(x87455,x87454)) % 183.16/183.19 [8863]~P11(x88633,x88634,x88631)+~P23(f333(f61(x88633),x88636))+~P23(f333(f333(f335(x88633),x88632),x88636))+E(f333(f333(x88631,x88632),f333(f333(f64(x88633,x88634,x88631),x88635),f333(f333(f22(f882(x88633,a870)),x88636),f333(f333(f311(x88633),x88632),f196(f882(x88633,a870)))))),f333(f333(f64(x88633,x88634,x88631),x88635),x88636)) % 183.16/183.19 [9168]~P14(x91683,x91681,x91686,x91682)+~P23(f333(f61(x91683),x91685))+~P23(f333(f61(x91683),x91684))+E(f333(f72(x91681,x91681,x91681,f333(x91682,f333(f333(f113(f882(x91683,a870)),x91684),x91685))),f333(x91682,f333(f333(f104(f882(x91683,a870)),x91684),x91685))),f333(f72(x91681,x91681,x91681,f333(x91682,x91684)),f333(x91682,x91685))) % 183.16/183.19 [9501]~E(x95013,f333(f333(f160(x95011,x95012),x95015),x95016))+P23(f333(f333(f335(f881(f876(x95011),f876(x95011))),f333(f333(f268(f876(x95011),f876(x95011)),x95012),x95013)),f158(x95011,x95014)))+~P23(f333(f333(f248(a875),x95015),f333(f197(f876(x95011)),x95012)))+~P23(f333(f333(f335(f881(x95011,x95011)),f333(f333(f268(x95011,x95011),f333(f333(f166(x95011),x95012),x95015)),x95016)),x95014)) % 183.16/183.19 [10003]~P66(x100032)+~P23(f333(f61(x100031),x100036))+P23(f333(f333(f335(x100031),f579(x100034,x100035,x100033,x100036,x100031,x100032)),x100036))+E(f333(f333(f6(x100031,x100032),f333(f333(f18(x100031,f882(x100033,a870),x100032),f333(f333(f8(f882(x100033,x100032),f882(f882(x100033,a870),x100032),x100031),f6(x100033,x100032)),x100034)),x100035)),x100036),f333(f333(f6(f881(x100031,x100033),x100032),f333(f272(x100031,x100033,x100032),x100034)),f333(f333(f270(x100031,x100033),x100036),x100035))) % 183.16/183.19 [10004]~P73(x100042)+~P23(f333(f61(x100041),x100046))+P23(f333(f333(f335(x100041),f580(x100044,x100045,x100043,x100046,x100041,x100042)),x100046))+E(f333(f333(f9(x100041,x100042),f333(f333(f18(x100041,f882(x100043,a870),x100042),f333(f333(f8(f882(x100043,x100042),f882(f882(x100043,a870),x100042),x100041),f9(x100043,x100042)),x100044)),x100045)),x100046),f333(f333(f9(f881(x100041,x100043),x100042),f333(f272(x100041,x100043,x100042),x100044)),f333(f333(f270(x100041,x100043),x100046),x100045))) % 183.16/183.19 [10044]~P66(x100442)+~P23(f333(f61(x100441),x100446))+~P23(f333(f61(x100443),f333(x100445,f579(x100444,x100445,x100443,x100446,x100441,x100442))))+E(f333(f333(f6(x100441,x100442),f333(f333(f18(x100441,f882(x100443,a870),x100442),f333(f333(f8(f882(x100443,x100442),f882(f882(x100443,a870),x100442),x100441),f6(x100443,x100442)),x100444)),x100445)),x100446),f333(f333(f6(f881(x100441,x100443),x100442),f333(f272(x100441,x100443,x100442),x100444)),f333(f333(f270(x100441,x100443),x100446),x100445))) % 183.16/183.19 [10045]~P73(x100452)+~P23(f333(f61(x100451),x100456))+~P23(f333(f61(x100453),f333(x100455,f580(x100454,x100455,x100453,x100456,x100451,x100452))))+E(f333(f333(f9(x100451,x100452),f333(f333(f18(x100451,f882(x100453,a870),x100452),f333(f333(f8(f882(x100453,x100452),f882(f882(x100453,a870),x100452),x100451),f9(x100453,x100452)),x100454)),x100455)),x100456),f333(f333(f9(f881(x100451,x100453),x100452),f333(f272(x100451,x100453,x100452),x100454)),f333(f333(f270(x100451,x100453),x100456),x100455))) % 183.16/183.19 [10026]~P73(x100262)+~P23(f333(f61(x100261),x100266))+P23(f333(f333(f335(x100261),x100263),x100266))+E(f333(f333(f9(x100261,x100262),f333(f333(f7(x100261,x100262,x100262),f333(f333(f18(x100261,x100262,f882(x100262,x100262)),f333(f333(f8(a870,f882(x100262,f882(x100262,x100262)),x100261),f99(x100262)),f333(f333(f7(x100261,x100261,a870),a330),x100263))),x100264)),x100265)),x100266),f333(f333(f258(x100262),x100265),f333(f37(x100261),x100266))) % 183.16/183.19 [10031]~P73(x100312)+~P23(f333(f61(x100311),x100316))+~P23(f333(f333(f335(x100311),x100313),x100316))+E(f333(f333(f9(x100311,x100312),f333(f333(f7(x100311,x100312,x100312),f333(f333(f18(x100311,x100312,f882(x100312,x100312)),f333(f333(f8(a870,f882(x100312,f882(x100312,x100312)),x100311),f99(x100312)),f333(f333(f7(x100311,x100311,a870),a330),x100313))),x100314)),x100315)),x100316),f333(f333(f80(x100312),f333(x100314,x100313)),f333(f333(f258(x100312),x100315),f333(f333(f22(a875),f333(f37(x100311),x100316)),f77(a875))))) % 183.16/183.19 [10099]~P23(f333(f61(x100991),x100995))+~P23(f333(f61(x100992),x100993))+P23(f333(f333(f335(x100992),f494(x100996,x100994,x100993,x100992,x100995,x100991)),x100993))+E(f333(f333(f6(x100991,a875),f333(f333(f8(f882(x100992,a870),a875,x100991),f37(x100992)),f333(f333(f8(f882(x100992,a870),f882(x100992,a870),x100991),f253(x100992)),f333(f333(f8(f882(x100992,a870),f882(x100992,a870),x100991),f333(f18(x100992,a870,a870),f333(f333(f8(a870,f882(a870,a870),x100992),a331),f333(f333(f7(x100992,f882(x100992,a870),a870),f335(x100992)),x100993)))),x100994)))),x100995),f333(f333(f80(a875),x100996),f333(f37(x100992),x100993))) % 183.16/183.19 [10100]~P23(f333(f61(x101001),x101005))+~P23(f333(f61(x101002),x101003))+P23(f333(f333(f335(x101002),f495(x101006,x101004,x101003,x101002,x101005,x101001)),x101003))+E(f333(f333(f6(x101001,a875),f333(f333(f8(f882(x101002,a870),a875,x101001),f37(x101002)),f333(f333(f8(f882(x101002,a870),f882(x101002,a870),x101001),f253(x101002)),f333(f333(f8(f882(x101002,a870),f882(x101002,a870),x101001),f333(f18(x101002,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101002),a331),f333(f333(f7(x101002,f882(x101002,a870),a870),f335(x101002)),x101003)))),x101004)))),x101005),f333(f333(f6(x101002,a875),x101006),x101003)) % 183.16/183.19 [10130]~P23(f333(f61(x101302),x101303))+~P23(f333(f61(x101301),x101305))+~E(f333(f37(x101301),f333(f253(x101301),f333(f333(f18(x101301,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101301),a331),f333(f333(f7(x101301,f882(x101301,a870),a870),f335(x101301)),x101305))),f333(f333(f7(x101301,x101302,a870),x101304),f494(x101306,x101304,x101303,x101302,x101305,x101301))))),x101306)+E(f333(f333(f6(x101301,a875),f333(f333(f8(f882(x101302,a870),a875,x101301),f37(x101302)),f333(f333(f8(f882(x101302,a870),f882(x101302,a870),x101301),f253(x101302)),f333(f333(f8(f882(x101302,a870),f882(x101302,a870),x101301),f333(f18(x101302,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101302),a331),f333(f333(f7(x101302,f882(x101302,a870),a870),f335(x101302)),x101303)))),x101304)))),x101305),f333(f333(f80(a875),x101306),f333(f37(x101302),x101303))) % 183.16/183.19 [10132]~P23(f333(f61(x101322),x101323))+~P23(f333(f61(x101321),x101325))+~E(f333(f37(x101321),f333(f253(x101321),f333(f333(f18(x101321,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101321),a331),f333(f333(f7(x101321,f882(x101321,a870),a870),f335(x101321)),x101325))),f333(f333(f7(x101321,x101322,a870),x101324),f495(x101326,x101324,x101323,x101322,x101325,x101321))))),f333(x101326,f495(x101326,x101324,x101323,x101322,x101325,x101321)))+E(f333(f333(f6(x101321,a875),f333(f333(f8(f882(x101322,a870),a875,x101321),f37(x101322)),f333(f333(f8(f882(x101322,a870),f882(x101322,a870),x101321),f253(x101322)),f333(f333(f8(f882(x101322,a870),f882(x101322,a870),x101321),f333(f18(x101322,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101322),a331),f333(f333(f7(x101322,f882(x101322,a870),a870),f335(x101322)),x101323)))),x101324)))),x101325),f333(f333(f6(x101322,a875),x101326),x101323)) % 183.16/183.19 [9784]E(x97841,x97842)+~P11(x97843,x97844,x97845)+~P23(f333(f66(x97843,x97844,x97845,x97846,x97847),x97842))+~P23(f333(f66(x97843,x97844,x97845,x97846,x97847),x97841)) % 183.16/183.19 [9577]P23(f333(x95771,x95772))+~P23(f333(f333(f335(x95777),x95772),f333(x95776,x95774)))+~P23(f333(x95771,f835(x95771,x95776,x95775,x95773,x95777)))+~P23(f333(f333(f335(x95773),x95774),x95775)) % 183.16/183.19 [10018]~P11(x100187,x100186,x100181)+E(f333(f333(x100181,x100182),f739(x100182,x100183,x100184,x100185,x100181,x100186,x100187)),x100183)+~P23(f333(f66(x100187,x100186,x100181,x100185,x100184),x100183))+~P23(f333(f333(f335(x100187),x100182),x100184)) % 183.16/183.19 [10084]~P11(x100841,x100842,x100843)+~P23(f333(f66(x100841,x100842,x100843,x100844,x100845),x100847))+P23(f333(f66(x100841,x100842,x100843,x100844,f333(f333(f22(f882(x100841,a870)),x100845),f333(f333(f311(x100841),x100846),f196(f882(x100841,a870))))),f739(x100846,x100847,x100845,x100844,x100843,x100842,x100841)))+~P23(f333(f333(f335(x100841),x100846),x100845)) % 183.16/183.19 [9477]~P67(x94771)+~P20(x94775,x94772,x94776,x94777)+~P23(f333(f61(x94775),x94777))+E(f333(f333(f333(f65(x94771,x94772,f80(x94771)),x94773),x94774),f333(f312(x94775,x94772,x94776),x94777)),f333(f333(f333(f65(x94771,x94775,f80(x94771)),f333(f72(x94772,x94771,x94775,x94773),x94776)),x94774),x94777)) % 183.16/183.19 [9601]~E(f333(f333(f311(x96011),x96015),x96016),f333(f333(f311(x96011),x96012),x96013))+~P23(f333(f66(x96011,x96011,x96014,x96012,x96013),x96017))+P23(f333(f333(f335(x96011),x96012),x96013))+P23(f333(f62(x96011,x96014,f333(f333(f311(x96011),x96015),x96016)),x96017)) % 183.16/183.19 [9684]P23(f333(x96841,x96842))+~P23(f333(f333(f335(x96843),x96842),f333(x96844,x96847)))+~P23(f333(f333(f335(x96846),x96847),x96845))+P23(f333(f333(f335(x96843),f835(x96841,x96844,x96845,x96846,x96843)),f333(f333(f41(x96846,f882(x96843,a870)),x96845),x96844))) % 183.16/183.19 [9698]~P20(x96982,x96981,x96985,x96984)+~P20(x96981,x96983,x96986,f333(f312(x96982,x96981,x96985),x96984))+E(f333(f333(f72(x96981,x96982,x96983,f76(x96982,x96981,x96984,x96985)),f76(x96981,x96983,f333(f312(x96982,x96981,x96985),x96984),x96986)),x96987),f333(f76(x96982,x96983,x96984,f333(f72(x96981,x96983,x96982,x96986),x96985)),x96987))+~P23(f333(f333(f335(x96983),x96987),f333(f312(x96981,x96983,x96986),f333(f312(x96982,x96981,x96985),x96984)))) % 183.16/183.19 [10019]~P11(x100197,x100196,x100191)+E(f333(f333(x100191,x100192),f793(x100193,x100194,x100192,x100195,x100191,x100196,x100197)),x100193)+P23(f333(f333(f335(x100197),x100192),x100194))+~P23(f333(f66(x100197,x100196,x100191,x100195,f333(f333(f311(x100197),x100192),x100194)),x100193)) % 183.16/183.19 [10083]~P11(x100831,x100834,x100835)+P23(f333(f66(x100831,x100834,x100835,x100836,x100833),f793(x100837,x100833,x100832,x100836,x100835,x100834,x100831)))+P23(f333(f333(f335(x100831),x100832),x100833))+~P23(f333(f66(x100831,x100834,x100835,x100836,f333(f333(f311(x100831),x100832),x100833)),x100837)) % 183.16/183.19 [9766]E(x97661,f2(a1))+~P23(f333(f48(x97663,x97661),f333(f333(f268(a1,a1),x97665),x97667)))+~P23(f333(f48(x97662,x97661),f333(f333(f268(a1,a1),x97664),x97666)))+P23(f333(f48(f333(f333(f79(a1),x97662),x97663),x97661),f333(f333(f268(a1,a1),f333(f333(f79(a1),f333(f333(f79(a1),x97664),x97665)),f333(f333(f38(a1),f333(f333(f79(a1),x97666),x97667)),x97661))),f44(a1,f333(f333(f79(a1),x97666),x97667),x97661)))) % 183.16/183.19 [9768]~P23(f333(f333(f248(a875),f2(a875)),x97683))+~P23(f333(f47(x97682,x97683),f333(f333(f268(a875,a875),x97685),x97687)))+~P23(f333(f47(x97681,x97683),f333(f333(f268(a875,a875),x97684),x97686)))+P23(f333(f47(f333(f333(f79(a875),x97681),x97682),x97683),f333(f333(f268(a875,a875),f333(f333(f79(a875),f333(f333(f79(a875),x97684),x97685)),f333(f333(f38(a875),f333(f333(f79(a875),x97686),x97687)),x97683))),f44(a875,f333(f333(f79(a875),x97686),x97687),x97683)))) % 183.16/183.19 [10129]~P66(x101292)+~P23(f333(f61(x101293),x101295))+~P23(f333(f61(x101291),x101297))+E(f333(f333(f6(x101291,x101292),f333(f333(f18(x101291,f882(x101293,a870),x101292),f333(f333(f8(f882(x101293,x101292),f882(f882(x101293,a870),x101292),x101291),f6(x101293,x101292)),x101294)),f333(f333(f8(f882(x101293,a870),f882(x101293,a870),x101291),f253(x101293)),f333(f333(f8(f882(x101293,a870),f882(x101293,a870),x101291),f333(f18(x101293,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101293),a331),f333(f333(f7(x101293,f882(x101293,a870),a870),f335(x101293)),x101295)))),x101296)))),x101297),f333(f333(f6(x101293,x101292),f333(f333(f18(x101293,f882(x101291,a870),x101292),f333(f333(f8(f882(x101291,x101292),f882(f882(x101291,a870),x101292),x101293),f6(x101291,x101292)),f333(f7(x101291,x101293,x101292),x101294))),f333(f333(f8(f882(x101291,a870),f882(x101291,a870),x101293),f253(x101291)),f333(f333(f8(f882(x101291,a870),f882(x101291,a870),x101293),f333(f18(x101291,a870,a870),f333(f333(f8(a870,f882(a870,a870),x101291),a331),f333(f333(f7(x101291,f882(x101291,a870),a870),f335(x101291)),x101297)))),f333(f7(x101291,x101293,a870),x101296))))),x101295)) % 183.16/183.19 [9637]~P17(x96377,x96376,x96371,x96378,x96372,x96374)+E(f333(f333(x96371,f333(x96372,x96373)),f333(x96374,x96375)),f333(x96374,x96375))+~P23(f333(f61(x96376),x96375))+~P23(f333(f333(f335(x96376),x96373),x96375)) % 183.16/183.19 [9641]~P9(x96416,x96411,x96412,x96418,x96413,x96414)+~P3(x96416,x96417,x96418)+P8(x96411,x96412,x96413,f333(x96414,x96415))+~P23(f333(f333(f335(x96416),x96415),x96417)) % 183.16/183.19 [8079]~P29(x80798,x80797,f333(f333(f333(f91(x80798),x80794),x80796),x80791))+P23(f333(f333(x80791,x80792),x80793))+~P23(f333(f333(x80794,x80792),x80795))+~P23(f333(f333(f333(f333(a204,x80796),x80795),x80797),x80793)) % 183.16/183.19 [9262]~P14(x92627,x92621,x92628,x92623)+~P23(f333(f61(x92627),x92625))+~P23(f333(f61(x92627),x92624))+E(f333(f72(x92621,x92621,x92622,f333(x92623,x92624)),f333(f72(x92621,x92621,x92622,f333(x92623,x92625)),x92626)),f333(f72(x92621,x92621,x92622,f333(x92623,x92625)),f333(f72(x92621,x92621,x92622,f333(x92623,x92624)),x92626))) % 183.16/183.19 [9270]~P34(x92701,x92702,x92703,x92704,x92707)+P34(x92701,x92702,x92703,f333(f333(f160(x92701,x92704),x92705),x92706),f333(f333(f160(x92702,x92707),x92705),x92708))+~P23(f333(f333(x92703,x92706),x92708))+~P23(f333(f333(f248(a875),x92705),f333(f197(f876(x92701)),x92704))) % 183.16/183.19 [9271]~P34(x92711,x92712,x92713,x92714,x92717)+P34(x92711,x92712,x92713,f333(f333(f160(x92711,x92714),x92715),x92716),f333(f333(f160(x92712,x92717),x92715),x92718))+~P23(f333(f333(x92713,x92716),x92718))+~P23(f333(f333(f248(a875),x92715),f333(f197(f876(x92712)),x92717))) % 183.16/183.19 [9350]~P20(x93502,x93502,x93505,x93506)+~P16(x93503,x93502,x93507,x93508,x93501)+~P23(f333(f61(x93502),x93506))+E(f333(f333(x93501,f333(f72(x93502,x93503,x93502,x93504),x93505)),x93506),f333(f333(x93501,x93504),f333(f312(x93502,x93502,x93505),x93506))) % 183.16/183.19 [9639]~P18(x96397,x96392,x96395,x96398,x96396,x96391)+~P23(f333(f61(x96392),x96394))+E(f333(x96391,f333(f333(f311(x96392),x96393),x96394)),f333(f333(x96395,f333(x96396,x96393)),f333(x96391,x96394)))+P23(f333(f333(f335(x96392),x96393),x96394)) % 183.16/183.19 [9650]~P17(x96506,x96505,x96501,x96507,x96508,x96502)+E(f333(f333(x96501,f333(x96502,x96503)),f333(x96502,x96504)),f333(x96502,x96504))+~P23(f333(f61(x96505),x96504))+~P23(f333(f333(f247(f882(x96505,a870)),x96503),x96504)) % 183.16/183.19 [9248]P23(f333(f333(f335(f881(f876(x92481),f876(x92481))),f333(f333(f268(f876(x92481),f876(x92481)),x92482),x92483)),f158(x92481,x92484)))+~E(x92483,f333(f333(f135(x92481),x92485),f333(f333(f152(x92481),x92486),x92487)))+~E(x92482,f333(f333(f135(x92481),x92485),f333(f333(f152(x92481),x92488),x92487)))+~P23(f333(f333(f335(f881(x92481,x92481)),f333(f333(f268(x92481,x92481),x92488),x92486)),x92484)) % 183.16/183.19 [9644]~P17(x96446,x96442,x96445,x96447,x96448,x96441)+~P23(f333(f61(x96442),x96444))+~P23(f333(f61(x96442),x96443))+E(f333(x96441,f333(f333(f113(f882(x96442,a870)),x96443),x96444)),f333(f333(x96445,f333(x96441,x96443)),f333(x96441,x96444))) % 183.16/183.19 [10167]~P20(x101674,x101672,x101675,x101678)+E(f333(f333(f42(x101671,f882(x101672,a870)),x101673),f333(f333(f8(f882(x101674,a870),f882(x101672,a870),x101671),f312(x101674,x101672,x101675)),x101676)),f333(f312(x101674,x101672,x101675),f333(f333(f42(x101671,f882(x101674,a870)),x101673),x101676)))+~P23(f333(f333(f335(x101671),x101677),x101673))+P23(f333(f333(f335(x101671),f387(x101677,x101676,x101673,x101671,x101678,x101675,x101672,x101674)),x101673)) % 183.16/183.19 [10191]~P20(x101914,x101912,x101915,x101917)+E(f333(f333(f42(x101911,f882(x101912,a870)),x101913),f333(f333(f8(f882(x101914,a870),f882(x101912,a870),x101911),f312(x101914,x101912,x101915)),x101916)),f333(f312(x101914,x101912,x101915),f333(f333(f42(x101911,f882(x101914,a870)),x101913),x101916)))+~P23(f333(f333(f335(x101911),x101918),x101913))+~P23(f333(f333(f247(f882(x101914,a870)),f333(x101916,f387(x101918,x101916,x101913,x101911,x101917,x101915,x101912,x101914))),x101917)) % 183.16/183.19 [9707]~P18(x97077,x97075,x97071,x97078,x97072,x97074)+~P23(f333(f61(x97075),x97076))+~P23(f333(f333(f335(x97075),x97073),x97076))+E(f333(f333(x97071,f333(x97072,x97073)),f333(x97074,f333(f333(f22(f882(x97075,a870)),x97076),f333(f333(f311(x97075),x97073),f196(f882(x97075,a870)))))),f333(x97074,x97076)) % 183.16/183.19 [9715]~P18(x97156,x97153,x97151,x97157,x97158,x97152)+~P23(f333(f61(x97153),x97155))+~P23(f333(f61(x97153),x97154))+E(f333(f333(x97151,f333(x97152,f333(f333(f113(f882(x97153,a870)),x97154),x97155))),f333(x97152,f333(f333(f104(f882(x97153,a870)),x97154),x97155))),f333(f333(x97151,f333(x97152,x97154)),f333(x97152,x97155))) % 183.16/183.19 [9807]P42(x98071,x98072,x98073,x98074,x98075,f333(f333(x98073,x98076),x98077))+~P42(x98071,x98072,x98073,x98074,f333(f333(f22(f882(x98071,a870)),x98075),f333(f333(f311(x98071),x98078),f196(f882(x98071,a870)))),x98079)+~E(f333(f333(x98073,x98076),x98077),f333(f333(x98073,x98078),x98079))+~P23(f333(f333(f335(x98071),x98078),x98075)) % 183.16/183.19 [10206]P19(x102061,x102062,f333(f333(f311(f874(x102061)),f333(f333(f333(f91(x102061),f333(x102063,f443(x102064,x102065,x102066,x102067,x102063,x102062,x102061,x102068,x102069))),f333(x102067,f443(x102064,x102065,x102066,x102067,x102063,x102062,x102061,x102068,x102069))),f333(x102066,f443(x102064,x102065,x102066,x102067,x102063,x102062,x102061,x102068,x102069)))),f196(f882(f874(x102061),a870))))+~P23(f333(f61(x102069),x102068))+~P19(x102061,x102062,f333(f312(x102069,f874(x102061),f333(f333(f18(x102069,f882(x102061,f882(a872,a870)),f874(x102061)),f333(f333(f18(x102069,a871,f882(f882(x102061,f882(a872,a870)),f874(x102061))),f333(f333(f8(f882(x102061,f882(a872,a870)),f882(a871,f882(f882(x102061,f882(a872,a870)),f874(x102061))),x102069),f91(x102061)),x102063)),x102067)),x102066)),x102068))+P19(x102061,x102062,f333(f312(x102069,f874(x102061),f333(f333(f18(x102069,f882(x102061,f882(a872,a870)),f874(x102061)),f333(f333(f18(x102069,a871,f882(f882(x102061,f882(a872,a870)),f874(x102061))),f333(f333(f8(f882(x102061,f882(a872,a870)),f882(a871,f882(f882(x102061,f882(a872,a870)),f874(x102061))),x102069),f91(x102061)),x102065)),x102067)),x102064)),x102068)) % 183.16/183.19 [10207]~P19(x102071,x102072,f333(f333(f311(f874(x102071)),f333(f333(f333(f91(x102071),f333(x102074,f443(x102076,x102074,x102078,x102075,x102079,x102072,x102071,x102077,x102073))),f333(x102075,f443(x102076,x102074,x102078,x102075,x102079,x102072,x102071,x102077,x102073))),f333(x102076,f443(x102076,x102074,x102078,x102075,x102079,x102072,x102071,x102077,x102073)))),f196(f882(f874(x102071),a870))))+~P23(f333(f61(x102073),x102077))+~P19(x102071,x102072,f333(f312(x102073,f874(x102071),f333(f333(f18(x102073,f882(x102071,f882(a872,a870)),f874(x102071)),f333(f333(f18(x102073,a871,f882(f882(x102071,f882(a872,a870)),f874(x102071))),f333(f333(f8(f882(x102071,f882(a872,a870)),f882(a871,f882(f882(x102071,f882(a872,a870)),f874(x102071))),x102073),f91(x102071)),x102079)),x102075)),x102078)),x102077))+P19(x102071,x102072,f333(f312(x102073,f874(x102071),f333(f333(f18(x102073,f882(x102071,f882(a872,a870)),f874(x102071)),f333(f333(f18(x102073,a871,f882(f882(x102071,f882(a872,a870)),f874(x102071))),f333(f333(f8(f882(x102071,f882(a872,a870)),f882(a871,f882(f882(x102071,f882(a872,a870)),f874(x102071))),x102073),f91(x102071)),x102074)),x102075)),x102076)),x102077)) % 183.16/183.19 [9741]~P9(x97416,x97417,x97418,x97419,x974110,x97411)+E(f333(f333(x97411,x97412),x97413),f333(f333(x97411,x97414),x97415))+~P23(f333(f333(f335(f881(x97417,x97417)),f333(f333(f268(x97417,x97417),x97413),x97415)),x974110))+~P23(f333(f333(f335(f881(x97416,x97416)),f333(f333(f268(x97416,x97416),x97412),x97414)),x97419)) % 183.16/183.19 [9352]~P62(x93522)+E(x93521,f196(f882(x93522,a870)))+~P23(f333(f61(x93522),x93521))+P23(f333(f333(f335(x93522),f13(x93522,x93521)),x93521))+~P23(f333(f333(f335(x93522),f333(f333(f113(x93522),f571(x93521,x93522)),f583(x93521,x93522))),f333(f333(f311(x93522),f571(x93521,x93522)),f333(f333(f311(x93522),f583(x93521,x93522)),f196(f882(x93522,a870)))))) % 183.16/183.19 [9353]~P62(x93532)+E(x93531,f196(f882(x93532,a870)))+~P23(f333(f61(x93532),x93531))+P23(f333(f333(f335(x93532),f10(x93532,x93531)),x93531))+~P23(f333(f333(f335(x93532),f333(f333(f104(x93532),f636(x93531,x93532)),f661(x93531,x93532))),f333(f333(f311(x93532),f636(x93531,x93532)),f333(f333(f311(x93532),f661(x93531,x93532)),f196(f882(x93532,a870)))))) % 183.16/183.19 [9385]~P67(x93852)+E(x93851,f196(f882(x93852,a870)))+~P23(f333(f61(x93852),x93851))+P23(f333(f333(f335(x93852),f333(f63(x93852,f80(x93852)),x93851)),x93851))+~P23(f333(f333(f335(x93852),f333(f333(f80(x93852),f853(x93851,x93852)),f855(x93851,x93852))),f333(f333(f311(x93852),f853(x93851,x93852)),f333(f333(f311(x93852),f855(x93851,x93852)),f196(f882(x93852,a870)))))) % 183.16/183.19 [9391]~P106(x93912)+E(x93911,f196(f882(x93912,a870)))+~P23(f333(f61(x93912),x93911))+P23(f333(f333(f335(x93912),f11(x93912,f245(x93912),x93911)),x93911))+~P23(f333(f333(f335(x93912),f333(f333(f245(x93912),f503(x93911,x93912)),f506(x93911,x93912))),f333(f333(f311(x93912),f503(x93911,x93912)),f333(f333(f311(x93912),f506(x93911,x93912)),f196(f882(x93912,a870)))))) % 183.16/183.19 [9392]~P106(x93922)+E(x93921,f196(f882(x93922,a870)))+~P23(f333(f61(x93922),x93921))+P23(f333(f333(f335(x93922),f12(x93922,f246(x93922),x93921)),x93921))+~P23(f333(f333(f335(x93922),f333(f333(f246(x93922),f504(x93921,x93922)),f505(x93921,x93922))),f333(f333(f311(x93922),f504(x93921,x93922)),f333(f333(f311(x93922),f505(x93921,x93922)),f196(f882(x93922,a870)))))) % 183.16/183.19 [6504]~P85(x65042)+E(x65041,f2(x65042))+~E(f333(f333(f79(x65042),x65043),x65041),f2(x65042))+~P23(f333(f333(f247(x65042),f2(x65042)),x65043))+~P23(f333(f333(f247(x65042),f2(x65042)),x65041)) % 183.16/183.19 [6505]~P85(x65052)+E(x65051,f2(x65052))+~E(f333(f333(f79(x65052),x65051),x65053),f2(x65052))+~P23(f333(f333(f247(x65052),f2(x65052)),x65053))+~P23(f333(f333(f247(x65052),f2(x65052)),x65051)) % 183.16/183.19 [7038]~P106(x70382)+~P28(x70382,x70381)+E(x70381,f116(x70382))+~P23(f333(f333(f335(x70382),x70383),f333(f174(x70382),f742(x70381,x70382))))+P23(f333(f333(f247(x70382),f761(x70381,x70382)),x70383)) % 183.16/183.19 [7204]~P106(x72041)+E(f14(x72041,x72042),x72043)+~P23(f333(f61(x72041),x72042))+~P23(f333(f333(f247(x72041),x72043),f526(x72043,x72042,x72041)))+~P23(f333(f333(f335(x72041),x72043),x72042)) % 183.16/183.19 [7235]~P106(x72351)+~P28(x72351,x72352)+~P28(x72351,x72353)+P28(x72351,f333(f333(f135(x72351),x72352),x72353))+P23(f333(f333(f335(x72351),f748(x72353,x72352,x72351)),f333(f174(x72351),x72352))) % 183.16/183.19 [7236]~P106(x72361)+~P28(x72361,x72362)+~P28(x72361,x72363)+P28(x72361,f333(f333(f135(x72361),x72362),x72363))+P23(f333(f333(f335(x72361),f749(x72363,x72362,x72361)),f333(f174(x72361),x72363))) % 183.16/183.19 [7292]~P106(x72921)+E(f14(x72921,x72922),x72923)+~P23(f333(f61(x72921),x72922))+P23(f333(f333(f335(x72921),f526(x72923,x72922,x72921)),x72922))+~P23(f333(f333(f335(x72921),x72923),x72922)) % 183.16/183.19 [7293]~P106(x72931)+E(f15(x72931,x72932),x72933)+~P23(f333(f61(x72931),x72932))+P23(f333(f333(f335(x72931),f528(x72933,x72932,x72931)),x72932))+~P23(f333(f333(f335(x72931),x72933),x72932)) % 183.16/183.19 [7880]~P106(x78801)+E(f15(x78801,x78802),x78803)+~P23(f333(f61(x78801),x78802))+~P23(f333(f333(f335(x78801),x78803),x78802))+~P23(f333(f333(f247(x78801),f528(x78803,x78802,x78801)),x78803)) % 183.16/183.19 [8211]~P106(x82111)+~P28(x82111,x82112)+~P28(x82111,x82113)+P28(x82111,f333(f333(f135(x82111),x82112),x82113))+~P23(f333(f333(f247(x82111),f748(x82113,x82112,x82111)),f749(x82113,x82112,x82111))) % 183.16/183.19 [8993]~P62(x89932)+E(x89931,f196(f882(x89932,a870)))+~E(f333(f333(f113(x89932),f333(x89933,f594(x89931,x89933,x89932))),f333(x89933,f605(x89931,x89933,x89932))),f333(x89933,f333(f333(f113(x89932),f594(x89931,x89933,x89932)),f605(x89931,x89933,x89932))))+E(f13(x89932,f333(f312(x89932,x89932,x89933),x89931)),f333(x89933,f13(x89932,x89931)))+~P23(f333(f61(x89932),x89931)) % 183.16/183.19 [8994]~P62(x89942)+E(x89941,f196(f882(x89942,a870)))+~E(f333(f333(f104(x89942),f333(x89943,f667(x89941,x89943,x89942))),f333(x89943,f682(x89941,x89943,x89942))),f333(x89943,f333(f333(f104(x89942),f667(x89941,x89943,x89942)),f682(x89941,x89943,x89942))))+E(f10(x89942,f333(f312(x89942,x89942,x89943),x89941)),f333(x89943,f10(x89942,x89941)))+~P23(f333(f61(x89942),x89941)) % 183.16/183.19 [8995]~P106(x89952)+E(x89951,f196(f882(x89952,a870)))+~E(f333(f333(f245(x89952),f333(x89953,f508(x89951,x89953,x89952))),f333(x89953,f517(x89951,x89953,x89952))),f333(x89953,f333(f333(f245(x89952),f508(x89951,x89953,x89952)),f517(x89951,x89953,x89952))))+E(f14(x89952,f333(f312(x89952,x89952,x89953),x89951)),f333(x89953,f14(x89952,x89951)))+~P23(f333(f61(x89952),x89951)) % 183.16/183.19 [8996]~P106(x89962)+E(x89961,f196(f882(x89962,a870)))+~E(f333(f333(f246(x89962),f333(x89963,f509(x89961,x89963,x89962))),f333(x89963,f516(x89961,x89963,x89962))),f333(x89963,f333(f333(f246(x89962),f509(x89961,x89963,x89962)),f516(x89961,x89963,x89962))))+E(f15(x89962,f333(f312(x89962,x89962,x89963),x89961)),f333(x89963,f15(x89962,x89961)))+~P23(f333(f61(x89962),x89961)) % 183.16/183.19 [9066]~P106(x90662)+E(x90661,f196(f882(x90662,a870)))+~E(f333(f333(f245(x90662),f333(x90663,f510(x90661,x90663,x90662))),f333(x90663,f515(x90661,x90663,x90662))),f333(x90663,f333(f333(f245(x90662),f510(x90661,x90663,x90662)),f515(x90661,x90663,x90662))))+E(f11(x90662,f245(x90662),f333(f312(x90662,x90662,x90663),x90661)),f333(x90663,f11(x90662,f245(x90662),x90661)))+~P23(f333(f61(x90662),x90661)) % 183.16/183.19 [9067]~P106(x90672)+E(x90671,f196(f882(x90672,a870)))+~E(f333(f333(f246(x90672),f333(x90673,f511(x90671,x90673,x90672))),f333(x90673,f514(x90671,x90673,x90672))),f333(x90673,f333(f333(f246(x90672),f511(x90671,x90673,x90672)),f514(x90671,x90673,x90672))))+E(f12(x90672,f246(x90672),f333(f312(x90672,x90672,x90673),x90671)),f333(x90673,f12(x90672,f246(x90672),x90671)))+~P23(f333(f61(x90672),x90671)) % 183.16/183.19 [6520]~P67(x65202)+E(x65201,f196(f882(x65202,a870)))+~P23(f333(f61(x65202),x65201))+E(f333(f63(x65202,f80(x65202)),f333(f333(f311(x65202),x65203),x65201)),f333(f333(f80(x65202),x65203),f333(f63(x65202,f80(x65202)),x65201)))+P23(f333(f333(f335(x65202),x65203),x65201)) % 183.16/183.19 [7044]~P62(x70442)+E(f333(f333(f113(x70442),f13(x70442,x70441)),f13(x70442,x70443)),f13(x70442,x70443))+E(x70441,f196(f882(x70442,a870)))+~P23(f333(f61(x70442),x70443))+~P23(f333(f333(f247(f882(x70442,a870)),x70441),x70443)) % 183.16/183.19 [7045]~P62(x70452)+E(f333(f333(f104(x70452),f10(x70452,x70451)),f10(x70452,x70453)),f10(x70452,x70453))+E(x70451,f196(f882(x70452,a870)))+~P23(f333(f61(x70452),x70453))+~P23(f333(f333(f247(f882(x70452,a870)),x70451),x70453)) % 183.16/183.19 [7046]~P106(x70462)+E(f333(f333(f245(x70462),f14(x70462,x70461)),f14(x70462,x70463)),f14(x70462,x70463))+E(x70461,f196(f882(x70462,a870)))+~P23(f333(f61(x70462),x70463))+~P23(f333(f333(f247(f882(x70462,a870)),x70461),x70463)) % 183.16/183.19 [7047]~P106(x70472)+E(f333(f333(f246(x70472),f15(x70472,x70471)),f15(x70472,x70473)),f15(x70472,x70473))+E(x70471,f196(f882(x70472,a870)))+~P23(f333(f61(x70472),x70473))+~P23(f333(f333(f247(f882(x70472,a870)),x70471),x70473)) % 183.16/183.19 [7344]~P106(x73442)+E(x73441,f196(f882(x73442,a870)))+~P23(f333(f61(x73442),x73443))+P23(f333(f333(f247(x73442),f14(x73442,x73443)),f14(x73442,x73441)))+~P23(f333(f333(f247(f882(x73442,a870)),x73441),x73443)) % 183.16/183.19 [7345]~P106(x73452)+E(x73451,f196(f882(x73452,a870)))+~P23(f333(f61(x73452),x73453))+P23(f333(f333(f247(x73452),f15(x73452,x73451)),f15(x73452,x73453)))+~P23(f333(f333(f247(f882(x73452,a870)),x73451),x73453)) % 183.16/183.19 [7403]~P62(x74031)+E(f13(x74031,x74032),x74033)+~P23(f333(f61(x74031),x74032))+~E(f333(f333(f22(f882(x74031,a870)),x74032),f333(f333(f311(x74031),x74033),f196(f882(x74031,a870)))),f196(f882(x74031,a870)))+~P23(f333(f333(f335(x74031),x74033),x74032)) % 183.16/183.19 [7404]~P62(x74041)+E(f10(x74041,x74042),x74043)+~P23(f333(f61(x74041),x74042))+~E(f333(f333(f22(f882(x74041,a870)),x74042),f333(f333(f311(x74041),x74043),f196(f882(x74041,a870)))),f196(f882(x74041,a870)))+~P23(f333(f333(f335(x74041),x74043),x74042)) % 183.16/183.19 [7405]~P106(x74051)+E(f14(x74051,x74052),x74053)+~P23(f333(f61(x74051),x74052))+~E(f333(f333(f22(f882(x74051,a870)),x74052),f333(f333(f311(x74051),x74053),f196(f882(x74051,a870)))),f196(f882(x74051,a870)))+~P23(f333(f333(f335(x74051),x74053),x74052)) % 183.16/183.19 [7406]~P106(x74061)+E(f15(x74061,x74062),x74063)+~P23(f333(f61(x74061),x74062))+~E(f333(f333(f22(f882(x74061,a870)),x74062),f333(f333(f311(x74061),x74063),f196(f882(x74061,a870)))),f196(f882(x74061,a870)))+~P23(f333(f333(f335(x74061),x74063),x74062)) % 183.16/183.19 [7505]~P106(x75051)+E(f11(x75051,f245(x75051),x75052),x75053)+~P23(f333(f61(x75051),x75052))+~E(f333(f333(f22(f882(x75051,a870)),x75052),f333(f333(f311(x75051),x75053),f196(f882(x75051,a870)))),f196(f882(x75051,a870)))+~P23(f333(f333(f335(x75051),x75053),x75052)) % 183.16/183.19 [7506]~P106(x75061)+E(f12(x75061,f246(x75061),x75062),x75063)+~P23(f333(f61(x75061),x75062))+~E(f333(f333(f22(f882(x75061,a870)),x75062),f333(f333(f311(x75061),x75063),f196(f882(x75061,a870)))),f196(f882(x75061,a870)))+~P23(f333(f333(f335(x75061),x75063),x75062)) % 183.16/183.19 [7543]~P106(x75432)+E(x75431,f196(f882(x75432,a870)))+~P23(f333(f61(x75432),x75431))+~P23(f333(f333(f248(x75432),x75433),f488(x75433,x75431,x75432)))+P23(f333(f333(f248(x75432),x75433),f333(f63(x75432,f245(x75432)),x75431))) % 183.16/183.19 [7544]~P99(x75442)+E(x75441,f196(f882(x75442,a870)))+~P23(f333(f61(x75442),x75441))+~P23(f333(f333(f247(x75442),x75443),f346(x75443,x75441,x75442)))+P23(f333(f333(f247(x75442),x75443),f333(f63(x75442,f104(x75442)),x75441))) % 183.16/183.19 [7545]~P106(x75452)+E(x75451,f196(f882(x75452,a870)))+~P23(f333(f61(x75452),x75451))+~P23(f333(f333(f247(x75452),x75453),f489(x75453,x75451,x75452)))+P23(f333(f333(f247(x75452),x75453),f333(f63(x75452,f245(x75452)),x75451))) % 183.16/183.19 [7630]~P99(x76302)+E(x76301,f196(f882(x76302,a870)))+~P23(f333(f61(x76302),x76301))+P23(f333(f333(f335(x76302),f346(x76303,x76301,x76302)),x76301))+P23(f333(f333(f247(x76302),x76303),f333(f63(x76302,f104(x76302)),x76301))) % 183.16/183.19 [7631]~P106(x76312)+E(x76311,f196(f882(x76312,a870)))+~P23(f333(f61(x76312),x76311))+P23(f333(f333(f335(x76312),f489(x76313,x76311,x76312)),x76311))+P23(f333(f333(f247(x76312),x76313),f333(f63(x76312,f245(x76312)),x76311))) % 183.16/183.19 [7632]~P106(x76322)+E(x76321,f196(f882(x76322,a870)))+~P23(f333(f61(x76322),x76321))+P23(f333(f333(f335(x76322),f488(x76323,x76321,x76322)),x76321))+P23(f333(f333(f248(x76322),x76323),f333(f63(x76322,f245(x76322)),x76321))) % 183.16/183.19 [7757]~P106(x77572)+E(x77571,f196(f882(x77572,a870)))+E(f333(f333(f245(x77572),f11(x77572,f245(x77572),x77571)),f11(x77572,f245(x77572),x77573)),f11(x77572,f245(x77572),x77573))+~P23(f333(f61(x77572),x77573))+~P23(f333(f333(f247(f882(x77572,a870)),x77571),x77573)) % 183.16/183.19 [7758]~P106(x77582)+E(x77581,f196(f882(x77582,a870)))+E(f333(f333(f246(x77582),f12(x77582,f246(x77582),x77581)),f12(x77582,f246(x77582),x77583)),f12(x77582,f246(x77582),x77583))+~P23(f333(f61(x77582),x77583))+~P23(f333(f333(f247(f882(x77582,a870)),x77581),x77583)) % 183.16/183.19 [7959]~E(f848(x79591,x79593,x79592),f849(x79591,x79593,x79592))+~E(f333(f37(x79592),f850(x79591,x79593,x79592)),x79591)+E(f333(f333(f80(a875),x79591),f333(f37(f882(x79592,a870)),x79593)),f333(f37(x79592),f39(f882(x79592,a870),x79593)))+~P23(f333(f61(x79592),f39(f882(x79592,a870),x79593)))+~P23(f333(f61(f882(x79592,a870)),x79593)) % 183.16/183.19 [8144]~P106(x81442)+E(x81441,f196(f882(x81442,a870)))+~P23(f333(f61(x81442),x81443))+P23(f333(f333(f247(x81442),f333(f63(x81442,f245(x81442)),x81443)),f333(f63(x81442,f245(x81442)),x81441)))+~P23(f333(f333(f247(f882(x81442,a870)),x81441),x81443)) % 183.16/183.19 [8454]~E(f848(x84541,x84543,x84542),f849(x84541,x84543,x84542))+E(f333(f333(f80(a875),x84541),f333(f37(f882(x84542,a870)),x84543)),f333(f37(x84542),f39(f882(x84542,a870),x84543)))+P23(f333(f333(f335(f882(x84542,a870)),f850(x84541,x84543,x84542)),x84543))+~P23(f333(f61(x84542),f39(f882(x84542,a870),x84543)))+~P23(f333(f61(f882(x84542,a870)),x84543)) % 183.16/183.19 [8480]~E(f333(f37(x84802),f850(x84801,x84803,x84802)),x84801)+E(f333(f333(f80(a875),x84801),f333(f37(f882(x84802,a870)),x84803)),f333(f37(x84802),f39(f882(x84802,a870),x84803)))+P23(f333(f333(f335(f882(x84802,a870)),f849(x84801,x84803,x84802)),x84803))+~P23(f333(f61(x84802),f39(f882(x84802,a870),x84803)))+~P23(f333(f61(f882(x84802,a870)),x84803)) % 183.16/183.19 [8481]~E(f333(f37(x84812),f850(x84811,x84813,x84812)),x84811)+E(f333(f333(f80(a875),x84811),f333(f37(f882(x84812,a870)),x84813)),f333(f37(x84812),f39(f882(x84812,a870),x84813)))+P23(f333(f333(f335(f882(x84812,a870)),f848(x84811,x84813,x84812)),x84813))+~P23(f333(f61(x84812),f39(f882(x84812,a870),x84813)))+~P23(f333(f61(f882(x84812,a870)),x84813)) % 183.16/183.19 [8509]~E(f333(f37(x85092),f850(x85091,x85093,x85092)),x85091)+~E(f333(f333(f104(f882(x85092,a870)),f849(x85091,x85093,x85092)),f848(x85091,x85093,x85092)),f196(f882(x85092,a870)))+E(f333(f333(f80(a875),x85091),f333(f37(f882(x85092,a870)),x85093)),f333(f37(x85092),f39(f882(x85092,a870),x85093)))+~P23(f333(f61(f882(x85092,a870)),x85093))+~P23(f333(f61(x85092),f39(f882(x85092,a870),x85093))) % 183.16/183.19 [8750]E(f333(f333(f80(a875),x87501),f333(f37(f882(x87502,a870)),x87503)),f333(f37(x87502),f39(f882(x87502,a870),x87503)))+P23(f333(f333(f335(f882(x87502,a870)),f850(x87501,x87503,x87502)),x87503))+P23(f333(f333(f335(f882(x87502,a870)),f849(x87501,x87503,x87502)),x87503))+~P23(f333(f61(f882(x87502,a870)),x87503))+~P23(f333(f61(x87502),f39(f882(x87502,a870),x87503))) % 183.16/183.19 [8751]E(f333(f333(f80(a875),x87511),f333(f37(f882(x87512,a870)),x87513)),f333(f37(x87512),f39(f882(x87512,a870),x87513)))+P23(f333(f333(f335(f882(x87512,a870)),f850(x87511,x87513,x87512)),x87513))+P23(f333(f333(f335(f882(x87512,a870)),f848(x87511,x87513,x87512)),x87513))+~P23(f333(f61(f882(x87512,a870)),x87513))+~P23(f333(f61(x87512),f39(f882(x87512,a870),x87513))) % 183.16/183.19 [8776]~E(f333(f333(f104(f882(x87762,a870)),f849(x87761,x87763,x87762)),f848(x87761,x87763,x87762)),f196(f882(x87762,a870)))+E(f333(f333(f80(a875),x87761),f333(f37(f882(x87762,a870)),x87763)),f333(f37(x87762),f39(f882(x87762,a870),x87763)))+~P23(f333(f61(f882(x87762,a870)),x87763))+P23(f333(f333(f335(f882(x87762,a870)),f850(x87761,x87763,x87762)),x87763))+~P23(f333(f61(x87762),f39(f882(x87762,a870),x87763))) % 183.16/183.19 [9040]~P94(x90402)+E(x90401,f196(f882(x90402,a870)))+~E(f333(f333(f80(x90402),f333(x90403,f851(x90401,x90403,x90402))),f333(x90403,f858(x90401,x90403,x90402))),f333(x90403,f333(f333(f80(x90402),f851(x90401,x90403,x90402)),f858(x90401,x90403,x90402))))+~P23(f333(f61(x90402),x90401))+E(f333(f63(x90402,f80(x90402)),f333(f312(x90402,x90402,x90403),x90401)),f333(x90403,f333(f63(x90402,f80(x90402)),x90401))) % 183.16/183.19 [9964]P23(f333(f333(x99641,x99642),x99643))+P23(f333(f333(f248(a1),f545(x99641,x99643,x99642)),f546(x99641,x99643,x99642)))+P23(f333(f333(f247(a1),f546(x99641,x99643,x99642)),f2(a1)))+P23(f333(f333(x99641,f545(x99641,x99643,x99642)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f546(x99641,x99643,x99642))))+~P23(f333(f321(f881(a1,a1),a56),f333(f333(f268(a1,a1),x99642),x99643))) % 183.16/183.19 [9970]P23(f333(f333(x99701,x99702),x99703))+P23(f333(f333(f247(a1),f544(x99701,x99703,x99702)),f2(a1)))+P23(f333(f333(x99701,f537(x99701,x99703,x99702)),f333(f333(f80(a1),f333(f106(a1),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f544(x99701,x99703,x99702))))+P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),f537(x99701,x99703,x99702)),f544(x99701,x99703,x99702))))+~P23(f333(f321(f881(a1,a1),a51),f333(f333(f268(a1,a1),x99702),x99703))) % 183.16/183.19 [7930]~P114(x79301)+~P23(f333(f333(f247(x79301),x79302),f77(x79301)))+~P23(f333(f333(f247(x79301),f2(x79301)),x79302))+~P23(f333(f333(f247(x79301),f2(x79301)),x79303))+P23(f333(f333(f247(x79301),f333(f333(f80(x79301),x79302),x79303)),x79303)) % 183.16/183.19 [7931]~P114(x79311)+~P23(f333(f333(f247(x79311),x79313),f77(x79311)))+~P23(f333(f333(f247(x79311),f2(x79311)),x79313))+~P23(f333(f333(f247(x79311),f2(x79311)),x79312))+P23(f333(f333(f247(x79311),f333(f333(f80(x79311),x79312),x79313)),x79312)) % 183.16/183.19 [8295]~P106(x82952)+E(x82951,f196(f882(x82952,a870)))+~P23(f333(f61(x82952),x82951))+P23(f333(f333(f335(x82952),f497(x82953,x82951,x82952)),x82951))+~P23(f333(f333(f247(x82952),f333(f63(x82952,f245(x82952)),x82951)),x82953)) % 183.16/183.19 [8296]~P106(x82962)+E(x82961,f196(f882(x82962,a870)))+~P23(f333(f61(x82962),x82961))+P23(f333(f333(f335(x82962),f499(x82963,x82961,x82962)),x82961))+~P23(f333(f333(f248(x82962),f333(f63(x82962,f245(x82962)),x82961)),x82963)) % 183.16/183.19 [8297]~P106(x82972)+E(x82971,f196(f882(x82972,a870)))+~P23(f333(f61(x82972),x82971))+P23(f333(f333(f248(x82972),f499(x82973,x82971,x82972)),x82973))+~P23(f333(f333(f248(x82972),f333(f63(x82972,f245(x82972)),x82971)),x82973)) % 183.16/183.19 [8298]~P106(x82982)+E(x82981,f196(f882(x82982,a870)))+~P23(f333(f61(x82982),x82981))+P23(f333(f333(f247(x82982),f497(x82983,x82981,x82982)),x82983))+~P23(f333(f333(f247(x82982),f333(f63(x82982,f245(x82982)),x82981)),x82983)) % 183.16/183.19 [8382]~P23(f333(x83821,x83823))+P23(f333(x83821,f441(x83821,x83822)))+P23(f333(x83821,f434(x83821,x83822)))+~P23(f333(f333(f248(a1),f2(a1)),x83822))+P23(f333(x83821,f333(f333(f22(a1),f434(x83821,x83822)),f333(f333(f80(a1),f442(x83821,x83822)),x83822)))) % 183.16/183.19 [8603]~P23(f333(x86031,x86033))+P23(f333(x86031,f434(x86031,x86032)))+~P23(f333(f333(f248(a1),f2(a1)),x86032))+P23(f333(f333(f335(a1),f441(x86031,x86032)),f304(a1,f77(a1),x86032)))+P23(f333(x86031,f333(f333(f22(a1),f434(x86031,x86032)),f333(f333(f80(a1),f442(x86031,x86032)),x86032)))) % 183.16/183.19 [8798]~P23(f333(x87981,x87983))+~P23(f333(x87981,f434(x87981,x87982)))+P23(f333(x87981,f441(x87981,x87982)))+~P23(f333(f333(f248(a1),f2(a1)),x87982))+~P23(f333(x87981,f333(f333(f22(a1),f434(x87981,x87982)),f333(f333(f80(a1),f442(x87981,x87982)),x87982)))) % 183.16/183.19 [8925]~P23(f333(x89251,x89253))+~P23(f333(x89251,f434(x89251,x89252)))+~P23(f333(f333(f248(a1),f2(a1)),x89252))+P23(f333(f333(f335(a1),f441(x89251,x89252)),f304(a1,f77(a1),x89252)))+~P23(f333(x89251,f333(f333(f22(a1),f434(x89251,x89252)),f333(f333(f80(a1),f442(x89251,x89252)),x89252)))) % 183.16/183.19 [8710]~P62(x87101)+~P23(f333(f61(x87101),x87102))+E(f333(f333(f22(f882(x87101,a870)),x87102),f333(f333(f311(x87101),x87103),f196(f882(x87101,a870)))),f196(f882(x87101,a870)))+~P23(f333(f333(f335(x87101),x87103),x87102))+E(f333(f333(f113(x87101),x87103),f13(x87101,f333(f333(f22(f882(x87101,a870)),x87102),f333(f333(f311(x87101),x87103),f196(f882(x87101,a870)))))),f13(x87101,x87102)) % 183.16/183.19 [8711]~P62(x87111)+~P23(f333(f61(x87111),x87112))+E(f333(f333(f22(f882(x87111,a870)),x87112),f333(f333(f311(x87111),x87113),f196(f882(x87111,a870)))),f196(f882(x87111,a870)))+~P23(f333(f333(f335(x87111),x87113),x87112))+E(f333(f333(f104(x87111),x87113),f10(x87111,f333(f333(f22(f882(x87111,a870)),x87112),f333(f333(f311(x87111),x87113),f196(f882(x87111,a870)))))),f10(x87111,x87112)) % 183.16/183.19 [8712]~P106(x87121)+~P23(f333(f61(x87121),x87122))+E(f333(f333(f22(f882(x87121,a870)),x87122),f333(f333(f311(x87121),x87123),f196(f882(x87121,a870)))),f196(f882(x87121,a870)))+~P23(f333(f333(f335(x87121),x87123),x87122))+E(f333(f333(f245(x87121),x87123),f14(x87121,f333(f333(f22(f882(x87121,a870)),x87122),f333(f333(f311(x87121),x87123),f196(f882(x87121,a870)))))),f14(x87121,x87122)) % 183.16/183.19 [8713]~P106(x87131)+~P23(f333(f61(x87131),x87132))+E(f333(f333(f22(f882(x87131,a870)),x87132),f333(f333(f311(x87131),x87133),f196(f882(x87131,a870)))),f196(f882(x87131,a870)))+~P23(f333(f333(f335(x87131),x87133),x87132))+E(f333(f333(f246(x87131),x87133),f15(x87131,f333(f333(f22(f882(x87131,a870)),x87132),f333(f333(f311(x87131),x87133),f196(f882(x87131,a870)))))),f15(x87131,x87132)) % 183.16/183.19 [8770]~P106(x87701)+~P23(f333(f61(x87701),x87702))+E(f333(f333(f22(f882(x87701,a870)),x87702),f333(f333(f311(x87701),x87703),f196(f882(x87701,a870)))),f196(f882(x87701,a870)))+~P23(f333(f333(f335(x87701),x87703),x87702))+E(f333(f333(f245(x87701),x87703),f11(x87701,f245(x87701),f333(f333(f22(f882(x87701,a870)),x87702),f333(f333(f311(x87701),x87703),f196(f882(x87701,a870)))))),f11(x87701,f245(x87701),x87702)) % 183.16/183.19 [8771]~P106(x87711)+~P23(f333(f61(x87711),x87712))+E(f333(f333(f22(f882(x87711,a870)),x87712),f333(f333(f311(x87711),x87713),f196(f882(x87711,a870)))),f196(f882(x87711,a870)))+~P23(f333(f333(f335(x87711),x87713),x87712))+E(f333(f333(f246(x87711),x87713),f12(x87711,f246(x87711),f333(f333(f22(f882(x87711,a870)),x87712),f333(f333(f311(x87711),x87713),f196(f882(x87711,a870)))))),f12(x87711,f246(x87711),x87712)) % 183.16/183.19 [8785]~P62(x87851)+~P23(f333(f61(x87851),x87853))+~P23(f333(f61(x87851),x87852))+E(f333(f333(f104(f882(x87851,a870)),x87852),x87853),f196(f882(x87851,a870)))+E(f333(f333(f113(x87851),f13(x87851,f333(f333(f113(f882(x87851,a870)),x87852),x87853))),f13(x87851,f333(f333(f104(f882(x87851,a870)),x87852),x87853))),f333(f333(f113(x87851),f13(x87851,x87852)),f13(x87851,x87853))) % 183.16/183.19 [8786]~P62(x87861)+~P23(f333(f61(x87861),x87863))+~P23(f333(f61(x87861),x87862))+E(f333(f333(f104(f882(x87861,a870)),x87862),x87863),f196(f882(x87861,a870)))+E(f333(f333(f104(x87861),f10(x87861,f333(f333(f113(f882(x87861,a870)),x87862),x87863))),f10(x87861,f333(f333(f104(f882(x87861,a870)),x87862),x87863))),f333(f333(f104(x87861),f10(x87861,x87862)),f10(x87861,x87863))) % 183.16/183.19 [8787]~P106(x87871)+~P23(f333(f61(x87871),x87873))+~P23(f333(f61(x87871),x87872))+E(f333(f333(f104(f882(x87871,a870)),x87872),x87873),f196(f882(x87871,a870)))+E(f333(f333(f245(x87871),f14(x87871,f333(f333(f113(f882(x87871,a870)),x87872),x87873))),f14(x87871,f333(f333(f104(f882(x87871,a870)),x87872),x87873))),f333(f333(f245(x87871),f14(x87871,x87872)),f14(x87871,x87873))) % 183.16/183.19 [8788]~P106(x87881)+~P23(f333(f61(x87881),x87883))+~P23(f333(f61(x87881),x87882))+E(f333(f333(f104(f882(x87881,a870)),x87882),x87883),f196(f882(x87881,a870)))+E(f333(f333(f246(x87881),f15(x87881,f333(f333(f113(f882(x87881,a870)),x87882),x87883))),f15(x87881,f333(f333(f104(f882(x87881,a870)),x87882),x87883))),f333(f333(f246(x87881),f15(x87881,x87882)),f15(x87881,x87883))) % 183.16/183.19 [9012]~P106(x90121)+~P23(f333(f61(x90121),x90123))+~P23(f333(f61(x90121),x90122))+E(f333(f333(f104(f882(x90121,a870)),x90122),x90123),f196(f882(x90121,a870)))+E(f333(f333(f245(x90121),f11(x90121,f245(x90121),f333(f333(f113(f882(x90121,a870)),x90122),x90123))),f11(x90121,f245(x90121),f333(f333(f104(f882(x90121,a870)),x90122),x90123))),f333(f333(f245(x90121),f11(x90121,f245(x90121),x90122)),f11(x90121,f245(x90121),x90123))) % 183.16/183.19 [9013]~P106(x90131)+~P23(f333(f61(x90131),x90133))+~P23(f333(f61(x90131),x90132))+E(f333(f333(f104(f882(x90131,a870)),x90132),x90133),f196(f882(x90131,a870)))+E(f333(f333(f246(x90131),f12(x90131,f246(x90131),f333(f333(f113(f882(x90131,a870)),x90132),x90133))),f12(x90131,f246(x90131),f333(f333(f104(f882(x90131,a870)),x90132),x90133))),f333(f333(f246(x90131),f12(x90131,f246(x90131),x90132)),f12(x90131,f246(x90131),x90133))) % 183.16/183.19 [9804]~P120(x98043)+E(x98041,x98042)+~P23(f333(f333(f247(x98043),f2(x98043)),x98042))+~P23(f333(f333(f247(x98043),f2(x98043)),x98041))+~E(f333(f333(f258(x98043),x98041),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)))),f333(f333(f258(x98043),x98042),f333(f106(a875),f333(f333(f79(a1),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100)),f333(f333(f22(a1),f333(f333(f79(a1),a82),a82)),a100))))) % 183.16/183.19 [6322]E(f359(x63221,x63222,x63223),x63224)+E(f333(x63221,x63224),f2(a875))+~E(f333(f333(f6(x63223,a875),x63221),x63222),f77(a875))+~P23(f333(f61(x63223),x63222))+~P23(f333(f333(f335(x63223),x63224),x63222)) % 183.16/183.19 [6384]E(f361(x63841,x63842,x63843),x63844)+E(f333(x63841,x63844),f2(a875))+~E(f333(f333(f6(x63843,a875),x63841),x63842),f333(a115,f2(a875)))+~P23(f333(f61(x63843),x63842))+~P23(f333(f333(f335(x63843),x63844),x63842)) % 183.16/183.19 [6489]~P26(x64891)+~P106(x64891)+P23(f333(f333(f248(x64891),x64892),f39(x64891,x64893)))+~P23(f333(f333(f248(x64891),x64892),x64894))+~P23(f333(f333(f335(x64891),x64894),x64893)) % 183.16/183.19 [6662]~P26(x66621)+~P106(x66621)+~P23(f333(f333(f248(x66621),x66624),x66623))+P23(f333(f333(f248(x66621),f40(x66621,x66622)),x66623))+~P23(f333(f333(f335(x66621),x66624),x66622)) % 183.16/183.19 [6922]~P120(x69223)+E(x69221,x69222)+~E(f333(f333(f258(x69223),x69221),f333(a115,x69224)),f333(f333(f258(x69223),x69222),f333(a115,x69224)))+~P23(f333(f333(f247(x69223),f2(x69223)),x69222))+~P23(f333(f333(f247(x69223),f2(x69223)),x69221)) % 183.16/183.19 [7133]~E(f367(x71332,x71333,x71331,x71334),x71334)+~E(f333(x71332,x71334),f77(a875))+E(f333(f333(f6(x71331,a875),x71332),x71333),f77(a875))+~P23(f333(f61(x71331),x71333))+~P23(f333(f333(f335(x71331),x71334),x71333)) % 183.16/183.19 [7140]~P109(x71404)+~P129(x71404)+E(f333(x71401,f357(x71401,x71402,x71403,x71404)),f2(x71404))+~E(f333(f333(f9(x71403,x71404),x71401),x71402),f2(x71404))+~P23(f333(f61(x71403),x71402)) % 183.16/183.19 [7226]~E(f364(x72262,x72263,x72261,x72264),x72264)+~E(f333(x72262,x72264),f333(a115,f2(a875)))+E(f333(f333(f6(x72261,a875),x72262),x72263),f333(a115,f2(a875)))+~P23(f333(f61(x72261),x72263))+~P23(f333(f333(f335(x72261),x72264),x72263)) % 183.16/183.19 [7971]~E(f333(x79712,x79714),f77(a875))+~E(f333(x79712,f367(x79712,x79713,x79711,x79714)),f2(a875))+E(f333(f333(f6(x79711,a875),x79712),x79713),f77(a875))+~P23(f333(f61(x79711),x79713))+~P23(f333(f333(f335(x79711),x79714),x79713)) % 183.16/183.19 [8015]~E(f333(x80152,x80154),f333(a115,f2(a875)))+~E(f333(x80152,f364(x80152,x80153,x80151,x80154)),f2(a875))+E(f333(f333(f6(x80151,a875),x80152),x80153),f333(a115,f2(a875)))+~P23(f333(f61(x80151),x80153))+~P23(f333(f333(f335(x80151),x80154),x80153)) % 183.16/183.19 [8573]~P106(x85731)+~P28(x85731,x85734)+P28(x85731,x85732)+~E(x85732,f333(f333(f152(x85731),x85733),x85734))+~P23(f333(f333(f247(x85731),x85733),f763(x85732,x85731,x85734,x85733))) % 183.16/183.19 [8607]E(x86071,x86072)+E(f333(f333(f22(a1),f421(x86073,x86072,x86074,x86071)),f422(x86073,x86072,x86074,x86071)),x86071)+~E(f333(f333(f79(a1),x86071),x86074),x86072)+~P23(f333(f333(f248(a1),f2(a1)),x86074))+~P23(f333(f333(f335(a1),x86072),x86073)) % 183.16/183.19 [8608]E(x86081,x86082)+E(f333(f333(f79(a1),f428(x86083,x86082,x86084,x86081)),f429(x86083,x86082,x86084,x86081)),x86081)+~E(f333(f333(f22(a1),x86081),x86084),x86082)+~P23(f333(f333(f248(a1),f2(a1)),x86084))+~P23(f333(f333(f335(a1),x86082),x86083)) % 183.16/183.19 [8783]E(f333(x87831,f651(x87832,x87831,x87833,x87834)),x87832)+P23(f333(f333(f247(a875),x87834),f652(x87832,x87831,x87833,x87834)))+~P23(f333(f333(f247(a1),x87832),f333(x87831,x87833)))+~P23(f333(f333(f248(a875),x87834),x87833))+~P23(f333(f333(f247(a1),f333(x87831,x87834)),x87832)) % 183.16/183.19 [8784]~P106(x87841)+~P28(x87841,x87843)+P28(x87841,x87842)+~E(x87842,f333(f333(f152(x87841),x87844),x87843))+P23(f333(f333(f335(x87841),f763(x87842,x87841,x87843,x87844)),f333(f174(x87841),x87843))) % 183.16/183.19 [8802]~P109(x88024)+~P129(x88024)+~E(f333(f333(f9(x88021,x88024),x88022),x88023),f2(x88024))+~P23(f333(f61(x88021),x88023))+P23(f333(f333(f335(x88021),f357(x88022,x88023,x88021,x88024)),x88023)) % 183.16/183.19 [8837]~E(f333(x88372,x88374),f77(a875))+E(f333(f333(f6(x88371,a875),x88372),x88373),f77(a875))+~P23(f333(f61(x88371),x88373))+~P23(f333(f333(f335(x88371),x88374),x88373))+P23(f333(f333(f335(x88371),f367(x88372,x88373,x88371,x88374)),x88373)) % 183.16/183.19 [8846]E(x88461,x88462)+~E(f333(f333(f79(a1),x88462),x88464),x88461)+~P23(f333(f333(f248(a1),f2(a1)),x88464))+~P23(f333(f333(f335(a1),x88461),x88463))+P23(f333(f333(f335(a1),f421(x88463,x88461,x88464,x88462)),x88463)) % 183.16/183.19 [8847]E(x88471,x88472)+~E(f333(f333(f22(a1),x88472),x88474),x88471)+~P23(f333(f333(f248(a1),f2(a1)),x88474))+~P23(f333(f333(f335(a1),x88471),x88473))+P23(f333(f333(f335(a1),f428(x88473,x88471,x88474,x88472)),x88473)) % 183.16/183.19 [8849]~E(f333(x88492,x88494),f333(a115,f2(a875)))+E(f333(f333(f6(x88491,a875),x88492),x88493),f333(a115,f2(a875)))+~P23(f333(f61(x88491),x88493))+~P23(f333(f333(f335(x88491),x88494),x88493))+P23(f333(f333(f335(x88491),f364(x88492,x88493,x88491,x88494)),x88493)) % 183.16/183.19 [8854]P53(x88542,x88543,x88544,x88541)+E(x88541,f196(f882(x88542,a870)))+~P23(f333(f61(x88542),x88544))+~P23(f333(f61(x88542),x88541))+P23(f333(f333(f335(x88542),f560(x88541,x88544,x88543,x88542)),x88544)) % 183.16/183.19 [8939]E(x89391,x89392)+~E(f333(f333(f79(a1),x89392),x89394),x89391)+~P23(f333(f333(f248(a1),f2(a1)),x89394))+~P23(f333(f333(f335(a1),x89391),x89393))+P23(f333(f333(f335(a1),f422(x89393,x89391,x89394,x89392)),f304(a1,f77(a1),x89394))) % 183.16/183.19 [8940]E(x89401,x89402)+~E(f333(f333(f22(a1),x89402),x89404),x89401)+~P23(f333(f333(f248(a1),f2(a1)),x89404))+~P23(f333(f333(f335(a1),x89401),x89403))+P23(f333(f333(f335(a1),f429(x89403,x89401,x89404,x89402)),f304(a1,f77(a1),x89404))) % 183.16/183.19 [9018]P23(f333(f333(f247(a875),x90181),f651(x90182,x90183,x90184,x90181)))+~P23(f333(f333(f247(a1),x90182),f333(x90183,x90184)))+P23(f333(f333(f247(a875),x90181),f652(x90182,x90183,x90184,x90181)))+~P23(f333(f333(f248(a875),x90181),x90184))+~P23(f333(f333(f247(a1),f333(x90183,x90181)),x90182)) % 183.16/183.19 [9128]E(f333(x91281,f651(x91282,x91281,x91283,x91284)),x91282)+~P23(f333(f333(f247(a1),x91282),f333(x91281,x91283)))+P23(f333(f333(f248(a875),f652(x91282,x91281,x91283,x91284)),x91283))+~P23(f333(f333(f248(a875),x91284),x91283))+~P23(f333(f333(f247(a1),f333(x91281,x91284)),x91282)) % 183.16/183.19 [9259]~P23(f333(f333(f247(a1),x92592),f333(x92593,x92594)))+P23(f333(f333(f247(a875),x92591),f652(x92592,x92593,x92594,x92591)))+P23(f333(f333(f247(a875),f651(x92592,x92593,x92594,x92591)),x92594))+~P23(f333(f333(f248(a875),x92591),x92594))+~P23(f333(f333(f247(a1),f333(x92593,x92591)),x92592)) % 183.16/183.19 [9260]~P23(f333(f333(f247(a1),x92602),f333(x92603,x92604)))+P23(f333(f333(f247(a875),x92601),f651(x92602,x92603,x92604,x92601)))+P23(f333(f333(f248(a875),f652(x92602,x92603,x92604,x92601)),x92604))+~P23(f333(f333(f248(a875),x92601),x92604))+~P23(f333(f333(f247(a1),f333(x92603,x92601)),x92602)) % 183.16/183.19 [9367]~P23(f333(f333(f247(a1),x93671),f333(x93672,x93673)))+P23(f333(f333(f247(a875),f651(x93671,x93672,x93673,x93674)),x93673))+~P23(f333(f333(f248(a875),x93674),x93673))+~P23(f333(f333(f247(a1),f333(x93672,x93674)),x93671))+P23(f333(f333(f248(a875),f652(x93671,x93672,x93673,x93674)),x93673)) % 183.16/183.19 [9445]E(x94451,f196(f882(x94452,a870)))+~P23(f333(f61(x94452),x94454))+~P23(f333(f61(x94452),x94451))+P23(f333(f333(f335(f881(f882(x94452,a870),f882(x94452,a870))),f333(f333(f268(f882(x94452,a870),f882(x94452,a870)),x94454),x94451)),f325(x94452,x94453)))+P23(f333(f333(f335(x94452),f568(x94453,x94451,x94454,x94452)),x94454)) % 183.16/183.19 [9446]E(x94461,f196(f882(x94462,a870)))+~P23(f333(f61(x94462),x94464))+~P23(f333(f61(x94462),x94461))+P23(f333(f333(f335(f881(f882(x94462,a870),f882(x94462,a870))),f333(f333(f268(f882(x94462,a870),f882(x94462,a870)),x94464),x94461)),f325(x94462,x94463)))+P23(f333(f333(f335(x94462),f621(x94463,x94461,x94464,x94462)),x94464)) % 183.16/183.19 [10107]E(f333(x101071,f651(x101072,x101071,x101073,x101074)),x101072)+~P23(f333(f333(f247(a1),x101072),f333(x101071,x101073)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x101071,f333(f333(f79(a875),f652(x101072,x101071,x101073,x101074)),f77(a875)))),f333(x101071,f652(x101072,x101071,x101073,x101074))))),f77(a1)))+~P23(f333(f333(f248(a875),x101074),x101073))+~P23(f333(f333(f247(a1),f333(x101071,x101074)),x101072)) % 183.16/183.19 [10108]~P23(f333(f333(f247(a1),x101082),f333(x101083,x101084)))+P23(f333(f333(f247(a875),x101081),f651(x101082,x101083,x101084,x101081)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x101083,f333(f333(f79(a875),f652(x101082,x101083,x101084,x101081)),f77(a875)))),f333(x101083,f652(x101082,x101083,x101084,x101081))))),f77(a1)))+~P23(f333(f333(f248(a875),x101081),x101084))+~P23(f333(f333(f247(a1),f333(x101083,x101081)),x101082)) % 183.16/183.19 [10109]~P23(f333(f333(f247(a1),x101091),f333(x101092,x101093)))+~P23(f333(f333(f247(a1),f333(f74(a1),f333(f333(f22(a1),f333(x101092,f333(f333(f79(a875),f652(x101091,x101092,x101093,x101094)),f77(a875)))),f333(x101092,f652(x101091,x101092,x101093,x101094))))),f77(a1)))+~P23(f333(f333(f248(a875),x101094),x101093))+~P23(f333(f333(f247(a1),f333(x101092,x101094)),x101091))+P23(f333(f333(f247(a875),f651(x101091,x101092,x101093,x101094)),x101093)) % 183.16/183.19 [7193]~P60(x71931)+P23(f333(f333(f248(x71931),x71932),f2(x71931)))+~P23(f333(f333(f248(x71931),x71933),f2(x71931)))+P23(f333(f333(f248(x71931),f2(x71931)),x71932))+P23(f333(f333(f248(x71931),x71933),f333(f333(f291(x71931),x71934),x71932))) % 183.16/183.19 [7194]~P60(x71941)+P23(f333(f333(f248(x71941),x71942),f2(x71941)))+~P23(f333(f333(f247(x71941),x71943),f2(x71941)))+P23(f333(f333(f248(x71941),f2(x71941)),x71942))+P23(f333(f333(f247(x71941),x71943),f333(f333(f291(x71941),x71944),x71942))) % 183.16/183.19 [7443]~P60(x74431)+P23(f333(f333(f248(x74431),x74432),f2(x74431)))+P23(f333(f333(f248(x74431),x74433),f2(x74431)))+P23(f333(f333(f248(x74431),f2(x74431)),x74433))+~P23(f333(f333(f248(x74431),x74432),f333(f333(f291(x74431),x74434),x74433))) % 183.16/183.19 [7444]~P60(x74441)+P23(f333(f333(f248(x74441),x74442),f2(x74441)))+P23(f333(f333(f247(x74441),x74443),f2(x74441)))+P23(f333(f333(f248(x74441),f2(x74441)),x74442))+~P23(f333(f333(f247(x74441),x74443),f333(f333(f291(x74441),x74444),x74442))) % 183.16/183.19 [7563]E(x75631,x75632)+~E(f333(f333(f166(x75633),x75634),x75631),f333(f333(f166(x75633),x75634),x75632))+~P23(f333(f138(x75633),x75634))+~P23(f333(f333(f248(a875),x75632),f333(f197(f876(x75633)),x75634)))+~P23(f333(f333(f248(a875),x75631),f333(f197(f876(x75633)),x75634))) % 183.16/183.19 [7932]~P60(x79321)+~P23(f333(f333(f248(x79321),x79323),f2(x79321)))+P23(f333(f333(f248(x79321),f2(x79321)),x79322))+~P23(f333(f333(f248(x79321),x79324),f333(f333(f80(x79321),x79323),x79322)))+P23(f333(f333(f248(x79321),x79323),f333(f333(f291(x79321),x79324),x79322))) % 183.16/183.19 [7933]~P60(x79331)+~P23(f333(f333(f247(x79331),x79333),f2(x79331)))+P23(f333(f333(f248(x79331),f2(x79331)),x79332))+~P23(f333(f333(f247(x79331),x79334),f333(f333(f80(x79331),x79333),x79332)))+P23(f333(f333(f247(x79331),x79333),f333(f333(f291(x79331),x79334),x79332))) % 183.16/183.19 [7934]~P60(x79341)+~P23(f333(f333(f248(x79341),x79342),f2(x79341)))+P23(f333(f333(f248(x79341),f2(x79341)),x79342))+~P23(f333(f333(f248(x79341),x79344),f333(f333(f80(x79341),x79343),x79342)))+P23(f333(f333(f248(x79341),x79343),f333(f333(f291(x79341),x79344),x79342))) % 183.16/183.19 [7935]~P60(x79351)+~P23(f333(f333(f248(x79351),x79352),f2(x79351)))+P23(f333(f333(f248(x79351),f2(x79351)),x79352))+~P23(f333(f333(f248(x79351),x79354),f333(f333(f291(x79351),x79353),x79352)))+P23(f333(f333(f248(x79351),x79353),f333(f333(f80(x79351),x79354),x79352))) % 183.16/183.19 [7936]~P60(x79361)+~P23(f333(f333(f248(x79361),x79362),f2(x79361)))+P23(f333(f333(f248(x79361),f2(x79361)),x79362))+~P23(f333(f333(f247(x79361),x79364),f333(f333(f80(x79361),x79363),x79362)))+P23(f333(f333(f247(x79361),x79363),f333(f333(f291(x79361),x79364),x79362))) % 183.16/183.19 [7937]~P60(x79371)+~P23(f333(f333(f248(x79371),x79372),f2(x79371)))+P23(f333(f333(f248(x79371),f2(x79371)),x79372))+~P23(f333(f333(f247(x79371),x79374),f333(f333(f291(x79371),x79373),x79372)))+P23(f333(f333(f247(x79371),x79373),f333(f333(f80(x79371),x79374),x79372))) % 183.16/183.19 [8083]~P106(x80831)+~P28(x80831,x80832)+~P23(f333(f333(f247(a875),x80833),x80834))+P23(f333(f333(f247(x80831),f333(f333(f166(x80831),x80832),x80833)),f333(f333(f166(x80831),x80832),x80834)))+~P23(f333(f333(f248(a875),x80834),f333(f197(f876(x80831)),x80832))) % 183.16/183.19 [8134]~P120(x81341)+~P23(f333(f333(f248(x81341),x81342),f77(x81341)))+~P23(f333(f333(f248(x81341),f2(x81341)),x81342))+~P23(f333(f333(f248(a875),x81344),x81343))+P23(f333(f333(f248(x81341),f333(f333(f258(x81341),x81342),x81343)),f333(f333(f258(x81341),x81342),x81344))) % 183.16/183.19 [8135]~P120(x81351)+~P23(f333(f333(f247(x81351),x81352),f77(x81351)))+~P23(f333(f333(f247(x81351),f2(x81351)),x81352))+~P23(f333(f333(f247(a875),x81354),x81353))+P23(f333(f333(f247(x81351),f333(f333(f258(x81351),x81352),x81353)),f333(f333(f258(x81351),x81352),x81354))) % 183.16/183.19 [8136]~P120(x81361)+~P23(f333(f333(f247(x81361),f2(x81361)),x81362))+~P23(f333(f333(f248(a875),f2(a875)),x81363))+~P23(f333(f333(f248(x81361),x81362),x81364))+P23(f333(f333(f248(x81361),f333(f333(f258(x81361),x81362),x81363)),f333(f333(f258(x81361),x81364),x81363))) % 183.16/183.19 [8157]~P106(x81571)+~P28(x81571,f333(f170(x81571),x81572))+~P23(f333(f333(f247(a875),x81574),x81573))+P23(f333(f333(f247(x81571),f333(f333(f166(x81571),x81572),x81573)),f333(f333(f166(x81571),x81572),x81574)))+~P23(f333(f333(f248(a875),x81573),f333(f197(f876(x81571)),x81572))) % 183.16/183.19 [8405]~P61(x84051)+~P23(f333(f333(f248(x84051),x84052),f2(x84051)))+~P23(f333(f333(f248(x84051),x84053),x84054))+~P23(f333(f333(f248(x84051),f2(x84051)),f333(f333(f80(x84051),x84053),x84054)))+P23(f333(f333(f248(x84051),f333(f333(f291(x84051),x84052),x84053)),f333(f333(f291(x84051),x84052),x84054))) % 183.16/183.19 [8406]~P60(x84061)+~P23(f333(f333(f247(x84061),x84062),f2(x84061)))+~P23(f333(f333(f247(x84061),x84063),x84064))+~P23(f333(f333(f248(x84061),f2(x84061)),f333(f333(f80(x84061),x84063),x84064)))+P23(f333(f333(f247(x84061),f333(f333(f291(x84061),x84062),x84063)),f333(f333(f291(x84061),x84062),x84064))) % 183.16/183.19 [8416]~P61(x84161)+~P23(f333(f333(f248(x84161),x84164),x84163))+~P23(f333(f333(f248(x84161),f2(x84161)),x84162))+~P23(f333(f333(f248(x84161),f2(x84161)),f333(f333(f80(x84161),x84163),x84164)))+P23(f333(f333(f248(x84161),f333(f333(f291(x84161),x84162),x84163)),f333(f333(f291(x84161),x84162),x84164))) % 183.16/183.19 [8417]~P61(x84171)+~P23(f333(f333(f247(x84171),x84174),x84173))+~P23(f333(f333(f247(x84171),f2(x84171)),x84172))+~P23(f333(f333(f248(x84171),f2(x84171)),f333(f333(f80(x84171),x84173),x84174)))+P23(f333(f333(f247(x84171),f333(f333(f291(x84171),x84172),x84173)),f333(f333(f291(x84171),x84172),x84174))) % 183.16/183.19 [8524]P23(f333(x85241,x85242))+~P23(f333(f61(x85244),x85242))+P23(f333(x85241,f456(x85241,x85243,x85242,x85244)))+~P23(f333(x85241,f196(f882(x85244,a870))))+~P23(f333(f333(f247(f882(x85244,a870)),x85242),x85243)) % 183.16/183.19 [8532]P23(f333(x85321,x85322))+P23(f333(f61(x85323),f456(x85321,x85324,x85322,x85323)))+~P23(f333(f61(x85323),x85322))+~P23(f333(x85321,f196(f882(x85323,a870))))+~P23(f333(f333(f247(f882(x85323,a870)),x85322),x85324)) % 183.16/183.19 [8778]E(f333(f333(f79(a1),f430(x87781,x87782,x87783,x87784)),f431(x87781,x87782,x87783,x87784)),x87784)+~P23(f333(f333(f248(a1),f2(a1)),x87783))+~P23(f333(f333(f248(a1),x87782),x87784))+~P23(f333(f333(f335(a1),x87782),x87781))+P23(f333(f333(f248(a1),x87782),f333(f333(f22(a1),x87784),x87783))) % 183.16/183.19 [8999]~P23(f333(f333(f248(a1),f2(a1)),x89993))+~P23(f333(f333(f248(a1),x89992),x89994))+~P23(f333(f333(f335(a1),x89992),x89991))+P23(f333(f333(f335(a1),f430(x89991,x89992,x89993,x89994)),x89991))+P23(f333(f333(f248(a1),x89992),f333(f333(f22(a1),x89994),x89993))) % 183.16/183.19 [9011]P23(f333(x90111,x90112))+~P23(f333(f61(x90113),x90112))+P23(f333(f333(f335(x90113),f457(x90111,x90114,x90112,x90113)),x90114))+~P23(f333(x90111,f196(f882(x90113,a870))))+~P23(f333(f333(f247(f882(x90113,a870)),x90112),x90114)) % 183.16/183.19 [9028]E(f333(f333(f79(a1),f423(x90281,x90282,x90283,x90284)),f424(x90281,x90282,x90283,x90284)),x90284)+~P23(f333(f333(f248(a1),f2(a1)),x90283))+~P23(f333(f333(f247(a1),x90282),x90284))+P23(f333(f333(f247(a1),x90282),f333(f333(f22(a1),x90284),x90283)))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x90282),f77(a1))),x90281)) % 183.16/183.19 [9080]~P23(f333(f333(f248(a1),f2(a1)),x90803))+~P23(f333(f333(f248(a1),x90801),x90802))+~P23(f333(f333(f335(a1),x90801),x90804))+P23(f333(f333(f335(a1),f431(x90804,x90801,x90803,x90802)),f304(a1,f77(a1),x90803)))+P23(f333(f333(f248(a1),x90801),f333(f333(f22(a1),x90802),x90803))) % 183.16/183.19 [9175]~P23(f333(f333(f248(a1),f2(a1)),x91753))+~P23(f333(f333(f247(a1),x91752),x91754))+P23(f333(f333(f335(a1),f423(x91751,x91752,x91753,x91754)),x91751))+P23(f333(f333(f247(a1),x91752),f333(f333(f22(a1),x91754),x91753)))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x91752),f77(a1))),x91751)) % 183.16/183.19 [9215]~P23(f333(f333(f248(a1),f2(a1)),x92153))+~P23(f333(f333(f247(a1),x92151),x92152))+P23(f333(f333(f335(a1),f424(x92154,x92151,x92153,x92152)),f304(a1,f77(a1),x92153)))+P23(f333(f333(f247(a1),x92151),f333(f333(f22(a1),x92152),x92153)))+~P23(f333(f333(f335(a1),f333(f333(f22(a1),x92151),f77(a1))),x92154)) % 183.16/183.19 [9448]P23(f333(x94481,x94482))+~P23(f333(f333(f335(x94483),f457(x94481,x94484,x94482,x94483)),f456(x94481,x94484,x94482,x94483)))+~P23(f333(f61(x94483),x94482))+~P23(f333(x94481,f196(f882(x94483,a870))))+~P23(f333(f333(f247(f882(x94483,a870)),x94482),x94484)) % 183.16/183.19 [9664]P23(f333(x96641,x96642))+~P23(f333(f61(x96643),x96642))+~P23(f333(x96641,f333(f333(f311(x96643),f457(x96641,x96644,x96642,x96643)),f456(x96641,x96644,x96642,x96643))))+~P23(f333(x96641,f196(f882(x96643,a870))))+~P23(f333(f333(f247(f882(x96643,a870)),x96642),x96644)) % 183.16/183.19 [7701]~P60(x77011)+P23(f333(f333(f248(x77011),x77012),f2(x77011)))+P23(f333(f333(f248(x77011),f2(x77011)),x77012))+~P23(f333(f333(f248(x77011),f2(x77011)),x77014))+P23(f333(f333(f248(x77011),f333(f333(f291(x77011),x77013),x77012)),x77014)) % 183.16/183.19 [7702]~P60(x77021)+P23(f333(f333(f248(x77021),x77022),f2(x77021)))+~P23(f333(f333(f247(x77021),f2(x77021)),x77024))+P23(f333(f333(f248(x77021),f2(x77021)),x77022))+P23(f333(f333(f247(x77021),f333(f333(f291(x77021),x77023),x77022)),x77024)) % 183.16/183.19 [7987]~P23(f333(f333(f247(a1),x79874),f2(a1)))+~E(x79872,f333(f333(f79(a1),f333(f333(f80(a1),x79871),x79873)),x79874))+P23(f333(f333(f248(a1),f2(a1)),x79871))+~P23(f333(f333(f248(a1),x79871),x79874))+P23(f333(f48(x79872,x79871),f333(f333(f268(a1,a1),x79873),x79874))) % 183.16/183.19 [8026]~P23(f333(x80261,x80264))+P23(f333(x80261,f414(x80262,x80261,x80263)))+~P23(f333(f333(f248(a1),f2(a1)),x80263))+~P23(f333(f333(f247(a1),f2(a1)),x80262))+P23(f333(x80261,f333(f333(f22(a1),x80264),f333(f333(f80(a1),x80262),x80263)))) % 183.16/183.19 [8027]~P23(f333(x80271,x80274))+P23(f333(x80271,f417(x80272,x80271,x80273)))+~P23(f333(f333(f248(a1),f2(a1)),x80273))+~P23(f333(f333(f247(a1),f2(a1)),x80272))+P23(f333(x80271,f333(f333(f79(a1),x80274),f333(f333(f80(a1),x80272),x80273)))) % 183.16/183.19 [8028]~P60(x80281)+P23(f333(f333(f248(x80281),x80282),f2(x80281)))+P23(f333(f333(f248(x80281),f2(x80281)),x80282))+P23(f333(f333(f248(x80281),f2(x80281)),x80283))+~P23(f333(f333(f248(x80281),f333(f333(f291(x80281),x80284),x80282)),x80283)) % 183.16/183.19 [8029]~P60(x80291)+P23(f333(f333(f248(x80291),x80292),f2(x80291)))+P23(f333(f333(f248(x80291),f2(x80291)),x80292))+P23(f333(f333(f247(x80291),f2(x80291)),x80293))+~P23(f333(f333(f247(x80291),f333(f333(f291(x80291),x80294),x80292)),x80293)) % 183.16/183.19 [8077]~E(x80771,f333(f333(f79(a1),f333(f333(f80(a1),x80772),x80773)),x80774))+~P23(f333(f333(f248(a1),f2(a1)),x80772))+~P23(f333(f333(f247(a1),f2(a1)),x80774))+~P23(f333(f333(f248(a1),x80774),x80772))+P23(f333(f48(x80771,x80772),f333(f333(f268(a1,a1),x80773),x80774))) % 183.16/183.19 [8201]~P60(x82011)+P23(f333(f333(f248(x82011),x82012),f2(x82011)))+~P23(f333(f333(f248(x82011),f2(x82011)),x82014))+~P23(f333(f333(f248(x82011),x82013),f333(f333(f80(x82011),x82014),x82012)))+P23(f333(f333(f248(x82011),f333(f333(f291(x82011),x82013),x82012)),x82014)) % 183.16/183.19 [8202]~P60(x82021)+P23(f333(f333(f248(x82021),x82022),f2(x82021)))+~P23(f333(f333(f247(x82021),f2(x82021)),x82024))+~P23(f333(f333(f247(x82021),x82023),f333(f333(f80(x82021),x82024),x82022)))+P23(f333(f333(f247(x82021),f333(f333(f291(x82021),x82023),x82022)),x82024)) % 183.16/183.19 [8283]~P60(x82831)+P23(f333(f333(f248(x82831),x82832),f2(x82831)))+~P23(f333(f333(f248(x82831),x82833),f2(x82831)))+P23(f333(f333(f248(x82831),x82833),f333(f333(f291(x82831),x82834),x82832)))+~P23(f333(f333(f248(x82831),f333(f333(f80(x82831),x82833),x82832)),x82834)) % 183.16/183.19 [8284]~P60(x82841)+P23(f333(f333(f248(x82841),x82842),f2(x82841)))+~P23(f333(f333(f247(x82841),x82843),f2(x82841)))+P23(f333(f333(f247(x82841),x82843),f333(f333(f291(x82841),x82844),x82842)))+~P23(f333(f333(f247(x82841),f333(f333(f80(x82841),x82843),x82842)),x82844)) % 183.16/183.19 [8443]~P60(x84431)+~P23(f333(f333(f248(x84431),x84432),f2(x84431)))+P23(f333(f333(f248(x84431),f2(x84431)),x84432))+~P23(f333(f333(f248(x84431),f333(f333(f291(x84431),x84434),x84432)),x84433))+P23(f333(f333(f248(x84431),f333(f333(f80(x84431),x84433),x84432)),x84434)) % 183.16/183.19 [8444]~P60(x84441)+~P23(f333(f333(f248(x84441),x84442),f2(x84441)))+P23(f333(f333(f248(x84441),f2(x84441)),x84442))+~P23(f333(f333(f248(x84441),f333(f333(f80(x84441),x84444),x84442)),x84443))+P23(f333(f333(f248(x84441),f333(f333(f291(x84441),x84443),x84442)),x84444)) % 183.16/183.19 [8445]~P60(x84451)+~P23(f333(f333(f248(x84451),x84452),f2(x84451)))+P23(f333(f333(f248(x84451),f2(x84451)),x84452))+~P23(f333(f333(f247(x84451),f333(f333(f291(x84451),x84454),x84452)),x84453))+P23(f333(f333(f247(x84451),f333(f333(f80(x84451),x84453),x84452)),x84454)) % 183.16/183.19 [8446]~P60(x84461)+~P23(f333(f333(f248(x84461),x84462),f2(x84461)))+P23(f333(f333(f248(x84461),f2(x84461)),x84462))+~P23(f333(f333(f247(x84461),f333(f333(f80(x84461),x84464),x84462)),x84463))+P23(f333(f333(f247(x84461),f333(f333(f291(x84461),x84463),x84462)),x84464)) % 183.16/183.19 [8467]~P60(x84671)+~P23(f333(f333(f248(x84671),f2(x84671)),x84674))+P23(f333(f333(f248(x84671),f2(x84671)),x84672))+~P23(f333(f333(f248(x84671),f333(f333(f80(x84671),x84674),x84672)),x84673))+P23(f333(f333(f248(x84671),f333(f333(f291(x84671),x84673),x84672)),x84674)) % 183.16/183.19 [8468]~P60(x84681)+~P23(f333(f333(f247(x84681),f2(x84681)),x84684))+P23(f333(f333(f248(x84681),f2(x84681)),x84682))+~P23(f333(f333(f247(x84681),f333(f333(f80(x84681),x84684),x84682)),x84683))+P23(f333(f333(f247(x84681),f333(f333(f291(x84681),x84683),x84682)),x84684)) % 183.16/183.19 [8540]~P60(x85401)+~P23(f333(f333(f248(x85401),x85404),f2(x85401)))+~P23(f333(f333(f248(x85401),x85403),f333(f333(f80(x85401),x85402),x85404)))+P23(f333(f333(f248(x85401),x85402),f333(f333(f291(x85401),x85403),x85404)))+~P23(f333(f333(f248(x85401),f333(f333(f80(x85401),x85402),x85404)),x85403)) % 183.16/183.19 [8541]~P60(x85411)+~P23(f333(f333(f248(x85411),x85412),f2(x85411)))+~P23(f333(f333(f248(x85411),x85413),f333(f333(f80(x85411),x85412),x85414)))+P23(f333(f333(f248(x85411),x85412),f333(f333(f291(x85411),x85413),x85414)))+~P23(f333(f333(f248(x85411),f333(f333(f80(x85411),x85412),x85414)),x85413)) % 183.16/183.19 [8542]~P60(x85421)+~P23(f333(f333(f248(x85421),x85424),f2(x85421)))+~P23(f333(f333(f247(x85421),x85423),f333(f333(f80(x85421),x85422),x85424)))+P23(f333(f333(f247(x85421),x85422),f333(f333(f291(x85421),x85423),x85424)))+~P23(f333(f333(f247(x85421),f333(f333(f80(x85421),x85422),x85424)),x85423)) % 183.16/183.19 [8543]~P60(x85431)+~P23(f333(f333(f247(x85431),x85432),f2(x85431)))+~P23(f333(f333(f247(x85431),x85433),f333(f333(f80(x85431),x85432),x85434)))+P23(f333(f333(f247(x85431),x85432),f333(f333(f291(x85431),x85433),x85434)))+~P23(f333(f333(f247(x85431),f333(f333(f80(x85431),x85432),x85434)),x85433)) % 183.16/183.19 [8655]~P60(x86551)+~P23(f333(f333(f248(x86551),x86553),f2(x86551)))+~P23(f333(f333(f248(x86551),x86552),f333(f333(f80(x86551),x86554),x86553)))+~P23(f333(f333(f248(x86551),f333(f333(f80(x86551),x86554),x86553)),x86552))+P23(f333(f333(f248(x86551),f333(f333(f291(x86551),x86552),x86553)),x86554)) % 183.16/183.19 [8656]~P60(x86561)+~P23(f333(f333(f248(x86561),x86563),f2(x86561)))+~P23(f333(f333(f247(x86561),x86562),f333(f333(f80(x86561),x86564),x86563)))+~P23(f333(f333(f247(x86561),f333(f333(f80(x86561),x86564),x86563)),x86562))+P23(f333(f333(f247(x86561),f333(f333(f291(x86561),x86562),x86563)),x86564)) % 183.16/183.19 [8671]~P60(x86711)+~P23(f333(f333(f248(x86711),f2(x86711)),x86714))+~P23(f333(f333(f248(x86711),x86712),f333(f333(f80(x86711),x86714),x86713)))+~P23(f333(f333(f248(x86711),f333(f333(f80(x86711),x86714),x86713)),x86712))+P23(f333(f333(f248(x86711),f333(f333(f291(x86711),x86712),x86713)),x86714)) % 183.16/183.19 [8672]~P60(x86721)+~P23(f333(f333(f247(x86721),f2(x86721)),x86724))+~P23(f333(f333(f247(x86721),x86722),f333(f333(f80(x86721),x86724),x86723)))+~P23(f333(f333(f247(x86721),f333(f333(f80(x86721),x86724),x86723)),x86722))+P23(f333(f333(f247(x86721),f333(f333(f291(x86721),x86722),x86723)),x86724)) % 183.16/183.19 [8839]E(f333(f333(f22(a1),f439(x88391,x88392,x88393,x88394)),f440(x88391,x88392,x88393,x88394)),x88394)+~P23(f333(f333(f248(a1),f2(a1)),x88393))+~P23(f333(f333(f335(a1),x88392),x88391))+~P23(f333(f333(f248(a1),x88394),x88392))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x88394),x88393)),x88392)) % 183.16/183.19 [8920]~P23(f333(x89201,x89202))+~P23(f333(f333(f248(a1),f2(a1)),x89204))+~P23(f333(f333(f247(a1),f2(a1)),x89203))+~P23(f333(x89201,f333(f333(f22(a1),f414(x89203,x89201,x89204)),x89204)))+P23(f333(x89201,f333(f333(f22(a1),x89202),f333(f333(f80(a1),x89203),x89204)))) % 183.16/183.19 [8921]~P23(f333(x89211,x89212))+~P23(f333(f333(f248(a1),f2(a1)),x89214))+~P23(f333(f333(f247(a1),f2(a1)),x89213))+~P23(f333(x89211,f333(f333(f79(a1),f417(x89213,x89211,x89214)),x89214)))+P23(f333(x89211,f333(f333(f79(a1),x89212),f333(f333(f80(a1),x89213),x89214)))) % 183.16/183.19 [9074]~P23(f333(f333(f248(a1),f2(a1)),x90743))+~P23(f333(f333(f335(a1),x90742),x90741))+~P23(f333(f333(f248(a1),x90744),x90742))+P23(f333(f333(f335(a1),f439(x90741,x90742,x90743,x90744)),x90741))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x90744),x90743)),x90742)) % 183.16/183.19 [9094]E(f333(f333(f22(a1),f425(x90941,x90942,x90943,x90944)),f426(x90941,x90942,x90943,x90944)),x90944)+~P23(f333(f333(f248(a1),f2(a1)),x90943))+~P23(f333(f333(f247(a1),x90944),x90942))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x90942),f77(a1))),x90941))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x90944),x90943)),x90942)) % 183.16/183.19 [9120]~P23(f333(f333(f248(a1),f2(a1)),x91202))+~P23(f333(f333(f335(a1),x91203),x91204))+~P23(f333(f333(f248(a1),x91201),x91203))+P23(f333(f333(f335(a1),f440(x91204,x91203,x91202,x91201)),f304(a1,f77(a1),x91202)))+P23(f333(f333(f248(a1),f333(f333(f79(a1),x91201),x91202)),x91203)) % 183.16/183.19 [9210]~P23(f333(f333(f248(a1),f2(a1)),x92103))+~P23(f333(f333(f247(a1),x92104),x92102))+P23(f333(f333(f335(a1),f425(x92101,x92102,x92103,x92104)),x92101))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x92102),f77(a1))),x92101))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x92104),x92103)),x92102)) % 183.16/183.19 [9255]~P23(f333(f333(f248(a1),f2(a1)),x92552))+~P23(f333(f333(f247(a1),x92551),x92553))+P23(f333(f333(f335(a1),f426(x92554,x92553,x92552,x92551)),f304(a1,f77(a1),x92552)))+~P23(f333(f333(f335(a1),f333(f333(f79(a1),x92553),f77(a1))),x92554))+P23(f333(f333(f247(a1),f333(f333(f79(a1),x92551),x92552)),x92553)) % 183.16/183.19 [9540]~P37(x95401,x95403)+~P21(x95401,x95404)+P37(x95401,f333(f333(f113(f882(f881(x95401,x95401),a870)),x95402),x95403))+~P23(f333(f333(f247(f882(f881(x95401,x95401),a870)),x95402),f333(f267(f882(f881(x95401,x95401),a870),f882(f881(x95401,x95401),a870)),x95404)))+~P23(f333(f333(f247(f882(f881(x95401,x95401),a870)),x95403),f333(f271(f882(f881(x95401,x95401),a870),f882(f881(x95401,x95401),a870)),x95404))) % 183.16/183.19 [9832]~E(f333(f734(x98321,x98324,x98323,x98322),f736(x98321,x98324,x98323,x98322)),f209(f876(a329)))+P23(f333(f333(f248(a1),f735(x98321,x98324,x98323,x98322)),f736(x98321,x98324,x98323,x98322)))+P23(f333(f333(f333(x98321,x98322),x98323),x98324))+P23(f333(f333(f333(x98321,f734(x98321,x98324,x98323,x98322)),f735(x98321,x98324,x98323,x98322)),f333(f333(f79(a1),f736(x98321,x98324,x98323,x98322)),f77(a1))))+~P23(f333(f321(f881(f882(a1,f879(f876(a329))),f881(a1,a1)),a319),f333(f333(f268(f882(a1,f879(f876(a329))),f881(a1,a1)),x98322),f333(f333(f268(a1,a1),x98323),x98324)))) % 183.16/183.19 [9933]~P13(x99332,x99334,x99333)+E(x99331,f196(f882(x99332,a870)))+~P23(f333(f61(x99332),x99331))+P23(f333(f333(f335(x99332),f333(x99333,x99331)),x99331))+~P23(f333(f333(f335(x99332),f333(f333(x99334,f531(x99331,x99333,x99334,x99332)),f541(x99331,x99333,x99334,x99332))),f333(f333(f311(x99332),f531(x99331,x99333,x99334,x99332)),f333(f333(f311(x99332),f541(x99331,x99333,x99334,x99332)),f196(f882(x99332,a870)))))) % 183.16/183.19 [9864]~P108(x98642)+~P57(x98641)+~P23(f333(f333(f247(f882(x98641,x98642)),x98643),x98644))+P23(f333(f333(f248(f882(x98641,x98642)),x98643),x98644))+~P23(f333(f57(x98641),f333(f333(f8(a870,a870,x98641),a328),f333(f333(f18(x98641,x98642,a870),f333(f333(f8(x98642,f882(x98642,a870),x98641),a330),x98643)),x98644)))) % 183.16/183.19 [9456]~P49(x94561,x94561,x94564)+P23(f333(f333(f335(f881(x94561,x94561)),f333(f333(f268(x94561,x94561),x94562),x94563)),f309(x94561,x94564)))+P23(f333(f333(f335(f881(x94561,x94561)),f333(f333(f268(x94561,x94561),x94563),x94562)),f309(x94561,x94564)))+~P23(f333(f333(f335(f881(x94561,x94561)),f333(f333(f268(x94561,x94561),x94565),x94562)),f309(x94561,x94564)))+~P23(f333(f333(f335(f881(x94561,x94561)),f333(f333(f268(x94561,x94561),x94565),x94563)),f309(x94561,x94564))) % 183.16/183.19 [5613]E(x56131,f2(a875))+~E(f333(f37(x56132),x56135),x56131)+E(f333(f37(x56132),x56133),f333(a115,x56131))+~E(x56133,f333(f333(f311(x56132),x56134),x56135))+P23(f333(f333(f335(x56132),x56134),x56135)) % 183.16/183.19 [5737]~P59(x57372)+E(x57371,f2(x57372))+E(x57373,f2(x57372))+~E(f333(f333(f291(x57372),x57374),x57373),f333(f333(f291(x57372),x57375),x57371))+E(f333(f333(f80(x57372),x57374),x57371),f333(f333(f80(x57372),x57375),x57373)) % 183.16/183.19 [5738]~P59(x57382)+E(x57381,f2(x57382))+E(x57383,f2(x57382))+~E(f333(f333(f80(x57382),x57384),x57383),f333(f333(f80(x57382),x57385),x57381))+E(f333(f333(f291(x57382),x57384),x57381),f333(f333(f291(x57382),x57385),x57383)) % 183.16/183.19 [5804]~E(f333(f37(x58041),x58045),x58043)+~E(x58045,f196(f882(x58041,a870)))+E(f333(f37(x58041),x58042),f333(a115,x58043))+~E(x58042,f333(f333(f311(x58041),x58044),x58045))+P23(f333(f333(f335(x58041),x58044),x58045)) % 183.16/183.19 [6030]~P109(x60302)+~E(f333(x60303,x60305),f2(x60302))+E(f333(f333(f9(x60301,x60302),x60303),x60304),f2(x60302))+~P23(f333(f61(x60301),x60304))+~P23(f333(f333(f335(x60301),x60305),x60304)) % 183.16/183.19 [6397]~P106(x63973)+E(x63971,x63972)+~E(f333(f303(x63973,x63974),x63971),f333(f303(x63973,x63975),x63972))+~P23(f333(f333(f248(x63973),x63975),x63972))+~P23(f333(f333(f248(x63973),x63974),x63971)) % 183.16/183.19 [6398]~P106(x63983)+E(x63981,x63982)+~E(f333(f303(x63983,x63981),x63984),f333(f303(x63983,x63982),x63985))+~P23(f333(f333(f248(x63983),x63982),x63985))+~P23(f333(f333(f248(x63983),x63981),x63984)) % 183.16/183.19 [7460]~P106(x74601)+~P28(x74601,f333(f333(f135(x74601),x74604),x74605))+~P23(f333(f333(f335(x74601),x74603),f333(f174(x74601),x74605)))+~P23(f333(f333(f335(x74601),x74602),f333(f174(x74601),x74604)))+P23(f333(f333(f247(x74601),x74602),x74603)) % 183.16/183.19 [8575]~P108(x85751)+~P23(f333(f333(f248(f882(x85751,a870)),f304(x85751,x85755,x85752)),f304(x85751,x85754,x85753)))+~P23(f333(f333(f247(x85751),x85755),x85752))+P23(f333(f333(f248(x85751),x85752),x85753))+P23(f333(f333(f248(x85751),x85754),x85755)) % 183.16/183.19 [9976]~P12(x99762,x99765,x99763)+E(x99761,f196(f882(x99762,a870)))+~E(f333(f333(x99765,f333(x99764,f484(x99761,x99764,x99763,x99765,x99762))),f333(x99764,f498(x99761,x99764,x99763,x99765,x99762))),f333(x99764,f333(f333(x99765,f484(x99761,x99764,x99763,x99765,x99762)),f498(x99761,x99764,x99763,x99765,x99762))))+E(f333(x99763,f333(f312(x99762,x99762,x99764),x99761)),f333(x99764,f333(x99763,x99761)))+~P23(f333(f61(x99762),x99761)) % 183.16/183.19 [6394]~P13(x63942,x63945,x63943)+E(x63941,f196(f882(x63942,a870)))+~P23(f333(f61(x63942),x63941))+E(f333(x63943,f333(f333(f311(x63942),x63944),x63941)),f333(f333(x63945,x63944),f333(x63943,x63941)))+P23(f333(f333(f335(x63942),x63944),x63941)) % 183.16/183.19 [7217]~P12(x72172,x72173,x72174)+E(f333(f333(x72173,f333(x72174,x72171)),f333(x72174,x72175)),f333(x72174,x72175))+E(x72171,f196(f882(x72172,a870)))+~P23(f333(f61(x72172),x72175))+~P23(f333(f333(f247(f882(x72172,a870)),x72171),x72175)) % 183.16/183.19 [7436]~P57(x74364)+~P92(x74365)+E(f333(x74361,x74362),f333(x74363,x74362))+~P23(f333(f333(f335(x74364),x74362),f333(f174(x74364),f55(x74364))))+~P23(f333(f333(f90(f882(x74364,x74365)),x74361),x74363)) % 183.16/183.19 [7596]~P13(x75964,x75965,x75961)+E(f333(x75961,x75962),x75963)+~P23(f333(f61(x75964),x75962))+~E(f333(f333(f22(f882(x75964,a870)),x75962),f333(f333(f311(x75964),x75963),f196(f882(x75964,a870)))),f196(f882(x75964,a870)))+~P23(f333(f333(f335(x75964),x75963),x75962)) % 183.16/183.19 [7683]E(x76831,x76832)+~E(f333(f197(f876(x76833)),x76832),f333(f197(f876(x76834)),x76835))+~E(f333(f197(f876(x76833)),x76831),f333(f197(f876(x76834)),x76835))+~E(f333(f180(x76834,x76833),f333(f333(f184(x76834,x76833),x76835),x76831)),f333(f180(x76834,x76833),f333(f333(f184(x76834,x76833),x76835),x76832)))+~P23(f333(f138(x76834),x76835)) % 183.16/183.19 [8547]E(x85471,x85472)+~P3(x85473,x85474,x85475)+E(f333(f333(f104(f882(x85473,a870)),x85471),x85472),f196(f882(x85473,a870)))+~P23(f333(f333(f335(f882(x85473,a870)),x85472),f333(f333(f60(x85473),x85474),x85475)))+~P23(f333(f333(f335(f882(x85473,a870)),x85471),f333(f333(f60(x85473),x85474),x85475))) % 183.16/183.19 [9337]~P66(x93372)+~E(f333(x93373,f458(x93373,x93374,x93375,x93371,x93372)),f2(x93372))+E(f333(f333(f6(x93371,x93372),x93373),x93374),f333(f333(f6(x93371,x93372),x93373),x93375))+~P23(f333(f61(x93371),x93375))+~P23(f333(f333(f247(f882(x93371,a870)),x93374),x93375)) % 183.16/183.19 [9338]~P66(x93382)+~E(f333(x93383,f459(x93383,x93384,x93385,x93381,x93382)),f2(x93382))+E(f333(f333(f6(x93381,x93382),x93383),x93384),f333(f333(f6(x93381,x93382),x93383),x93385))+~P23(f333(f61(x93381),x93385))+~P23(f333(f333(f247(f882(x93381,a870)),x93384),x93385)) % 183.16/183.19 [9339]~P73(x93392)+~E(f333(x93393,f449(x93393,x93394,x93395,x93391,x93392)),f77(x93392))+E(f333(f333(f9(x93391,x93392),x93393),x93394),f333(f333(f9(x93391,x93392),x93393),x93395))+~P23(f333(f61(x93391),x93395))+~P23(f333(f333(f247(f882(x93391,a870)),x93394),x93395)) % 183.16/183.19 [9340]~P73(x93402)+~E(f333(x93403,f450(x93403,x93404,x93405,x93401,x93402)),f77(x93402))+E(f333(f333(f9(x93401,x93402),x93403),x93404),f333(f333(f9(x93401,x93402),x93403),x93405))+~P23(f333(f61(x93401),x93405))+~P23(f333(f333(f247(f882(x93401,a870)),x93404),x93405)) % 183.16/183.19 [9812]~P85(x98121)+~P23(f333(f61(x98122),x98125))+~P23(f333(f333(f247(x98121),f2(x98121)),f333(x98123,f371(x98123,x98124,x98125,x98122,x98121))))+P23(f333(f333(f247(x98121),f333(f333(f6(x98122,x98121),x98123),x98124)),f333(f333(f6(x98122,x98121),x98123),x98125)))+~P23(f333(f333(f247(f882(x98122,a870)),x98124),x98125)) % 183.16/183.19 [7457]E(x74571,f2(a875))+P23(f333(x74572,x74573))+~E(x74574,f333(f333(f79(a875),f333(f333(f80(a875),x74571),x74573)),x74575))+~P23(f333(f333(f248(a875),x74575),x74571))+~P23(f333(x74572,f333(f333(f38(a875),x74574),x74571))) % 183.16/183.19 [7537]E(x75371,f2(a875))+P23(f333(x75372,x75373))+~P23(f333(x75372,f44(a875,x75374,x75371)))+~E(x75374,f333(f333(f79(a875),f333(f333(f80(a875),x75371),x75375)),x75373))+~P23(f333(f333(f248(a875),x75373),x75371)) % 183.16/183.19 [7833]~P59(x78333)+E(f333(x78331,x78332),f2(x78333))+~P23(f333(f61(x78334),x78335))+E(f333(f333(f9(x78334,x78333),x78331),f333(f333(f22(f882(x78334,a870)),x78335),f333(f333(f311(x78334),x78332),f196(f882(x78334,a870))))),f333(f333(f9(x78334,x78333),x78331),x78335))+P23(f333(f333(f335(x78334),x78332),x78335)) % 183.16/183.19 [8242]~P66(x82421)+~P23(f333(f61(x82422),x82425))+~P23(f333(f61(x82422),x82424))+~E(f333(f333(f104(f882(x82422,a870)),x82424),x82425),f196(f882(x82422,a870)))+E(f333(f333(f79(x82421),f333(f333(f6(x82422,x82421),x82423),x82424)),f333(f333(f6(x82422,x82421),x82423),x82425)),f333(f333(f6(x82422,x82421),x82423),f333(f333(f113(f882(x82422,a870)),x82424),x82425))) % 183.16/183.19 [8244]~P73(x82441)+~P23(f333(f61(x82442),x82445))+~P23(f333(f61(x82442),x82444))+~E(f333(f333(f104(f882(x82442,a870)),x82444),x82445),f196(f882(x82442,a870)))+E(f333(f333(f80(x82441),f333(f333(f9(x82442,x82441),x82443),x82444)),f333(f333(f9(x82442,x82441),x82443),x82445)),f333(f333(f9(x82442,x82441),x82443),f333(f333(f113(f882(x82442,a870)),x82444),x82445))) % 183.16/183.19 [8337]~P59(x83373)+E(f333(x83371,x83372),f2(x83373))+~P23(f333(f61(x83374),x83375))+E(f333(f333(f9(x83374,x83373),x83371),f333(f333(f22(f882(x83374,a870)),x83375),f333(f333(f311(x83374),x83372),f196(f882(x83374,a870))))),f333(f333(f291(x83373),f333(f333(f9(x83374,x83373),x83371),x83375)),f333(x83371,x83372)))+~P23(f333(f333(f335(x83374),x83372),x83375)) % 183.16/183.19 [9053]~P3(x90531,x90535,x90534)+~E(f333(f333(f60(x90531),f333(f333(f311(x90531),x90532),f196(f882(x90531,a870)))),x90534),f333(f333(f60(x90531),f333(f333(f311(x90531),x90533),f196(f882(x90531,a870)))),x90534))+~P23(f333(f333(f335(x90531),x90533),x90535))+~P23(f333(f333(f335(x90531),x90532),x90535))+P23(f333(f333(f335(f881(x90531,x90531)),f333(f333(f268(x90531,x90531),x90532),x90533)),x90534)) % 183.16/183.19 [9073]~P3(x90731,x90735,x90733)+E(f333(f333(f60(x90731),f333(f333(f311(x90731),x90732),f196(f882(x90731,a870)))),x90733),f333(f333(f60(x90731),f333(f333(f311(x90731),x90734),f196(f882(x90731,a870)))),x90733))+~P23(f333(f333(f335(x90731),x90734),x90735))+~P23(f333(f333(f335(x90731),x90732),x90735))+~P23(f333(f333(f335(f881(x90731,x90731)),f333(f333(f268(x90731,x90731),x90732),x90734)),x90733)) % 183.16/183.19 [9366]~P73(x93661)+~P23(f333(f61(x93662),x93665))+~P23(f333(f61(x93662),x93664))+~E(f333(f333(f104(f882(x93662,a870)),x93664),x93665),f196(f882(x93662,a870)))+E(f333(f333(f80(x93661),f333(f333(f333(f65(x93661,x93662,f80(x93661)),x93663),f77(x93661)),x93664)),f333(f333(f333(f65(x93661,x93662,f80(x93661)),x93663),f77(x93661)),x93665)),f333(f333(f333(f65(x93661,x93662,f80(x93661)),x93663),f77(x93661)),f333(f333(f113(f882(x93662,a870)),x93664),x93665))) % 183.16/183.19 [9375]~P66(x93751)+~E(f333(x93753,f370(x93753,x93755,x93754,x93752,x93751)),f2(x93751))+~P23(f333(f61(x93752),x93754))+~P23(f333(f61(x93752),x93755))+E(f333(f333(f79(x93751),f333(f333(f6(x93752,x93751),x93753),x93754)),f333(f333(f6(x93752,x93751),x93753),x93755)),f333(f333(f6(x93752,x93751),x93753),f333(f333(f113(f882(x93752,a870)),x93754),x93755))) % 183.16/183.19 [9376]~P66(x93761)+~E(f333(x93763,f372(x93763,x93765,x93764,x93762,x93761)),f2(x93761))+~P23(f333(f61(x93762),x93764))+~P23(f333(f61(x93762),x93765))+E(f333(f333(f79(x93761),f333(f333(f6(x93762,x93761),x93763),x93764)),f333(f333(f6(x93762,x93761),x93763),x93765)),f333(f333(f6(x93762,x93761),x93763),f333(f333(f113(f882(x93762,a870)),x93764),x93765))) % 183.16/183.19 [9377]~P73(x93771)+~E(f333(x93773,f852(x93773,x93775,x93774,x93772,x93771)),f77(x93771))+~P23(f333(f61(x93772),x93774))+~P23(f333(f61(x93772),x93775))+E(f333(f333(f80(x93771),f333(f333(f9(x93772,x93771),x93773),x93774)),f333(f333(f9(x93772,x93771),x93773),x93775)),f333(f333(f9(x93772,x93771),x93773),f333(f333(f113(f882(x93772,a870)),x93774),x93775))) % 183.16/183.19 [9378]~P73(x93781)+~E(f333(x93783,f857(x93783,x93785,x93784,x93782,x93781)),f77(x93781))+~P23(f333(f61(x93782),x93784))+~P23(f333(f61(x93782),x93785))+E(f333(f333(f80(x93781),f333(f333(f9(x93782,x93781),x93783),x93784)),f333(f333(f9(x93782,x93781),x93783),x93785)),f333(f333(f9(x93782,x93781),x93783),f333(f333(f113(f882(x93782,a870)),x93784),x93785))) % 183.16/183.19 [9584]~P73(x95841)+~E(f333(x95843,f854(x95843,x95845,x95844,x95842,x95841)),f77(x95841))+~P23(f333(f61(x95842),x95844))+~P23(f333(f61(x95842),x95845))+E(f333(f333(f80(x95841),f333(f333(f333(f65(x95841,x95842,f80(x95841)),x95843),f77(x95841)),x95844)),f333(f333(f333(f65(x95841,x95842,f80(x95841)),x95843),f77(x95841)),x95845)),f333(f333(f333(f65(x95841,x95842,f80(x95841)),x95843),f77(x95841)),f333(f333(f113(f882(x95842,a870)),x95844),x95845))) % 183.16/183.19 [9691]~P66(x96912)+E(f333(f333(f6(x96911,x96912),x96913),x96914),f333(f333(f6(x96911,x96912),x96913),x96915))+~P23(f333(f61(x96911),x96915))+~P23(f333(f333(f247(f882(x96911,a870)),x96914),x96915))+P23(f333(f333(f335(x96911),f458(x96913,x96914,x96915,x96911,x96912)),f333(f333(f22(f882(x96911,a870)),x96915),x96914))) % 183.16/183.19 [9692]~P66(x96922)+E(f333(f333(f6(x96921,x96922),x96923),x96924),f333(f333(f6(x96921,x96922),x96923),x96925))+~P23(f333(f61(x96921),x96925))+~P23(f333(f333(f247(f882(x96921,a870)),x96924),x96925))+P23(f333(f333(f335(x96921),f459(x96923,x96924,x96925,x96921,x96922)),f333(f333(f22(f882(x96921,a870)),x96925),x96924))) % 183.16/183.19 [9693]~P73(x96932)+E(f333(f333(f9(x96931,x96932),x96933),x96934),f333(f333(f9(x96931,x96932),x96933),x96935))+~P23(f333(f61(x96931),x96935))+~P23(f333(f333(f247(f882(x96931,a870)),x96934),x96935))+P23(f333(f333(f335(x96931),f449(x96933,x96934,x96935,x96931,x96932)),f333(f333(f22(f882(x96931,a870)),x96935),x96934))) % 183.16/183.19 [9694]~P73(x96942)+E(f333(f333(f9(x96941,x96942),x96943),x96944),f333(f333(f9(x96941,x96942),x96943),x96945))+~P23(f333(f61(x96941),x96945))+~P23(f333(f333(f247(f882(x96941,a870)),x96944),x96945))+P23(f333(f333(f335(x96941),f450(x96943,x96944,x96945,x96941,x96942)),f333(f333(f22(f882(x96941,a870)),x96945),x96944))) % 183.16/183.19 [9711]~P66(x97111)+~P23(f333(f61(x97112),x97114))+~P23(f333(f61(x97112),x97115))+E(f333(f333(f79(x97111),f333(f333(f6(x97112,x97111),x97113),x97114)),f333(f333(f6(x97112,x97111),x97113),x97115)),f333(f333(f6(x97112,x97111),x97113),f333(f333(f113(f882(x97112,a870)),x97114),x97115)))+P23(f333(f333(f335(x97112),f370(x97113,x97115,x97114,x97112,x97111)),f333(f333(f104(f882(x97112,a870)),x97114),x97115))) % 183.16/183.19 [9712]~P66(x97121)+~P23(f333(f61(x97122),x97124))+~P23(f333(f61(x97122),x97125))+E(f333(f333(f79(x97121),f333(f333(f6(x97122,x97121),x97123),x97124)),f333(f333(f6(x97122,x97121),x97123),x97125)),f333(f333(f6(x97122,x97121),x97123),f333(f333(f113(f882(x97122,a870)),x97124),x97125)))+P23(f333(f333(f335(x97122),f372(x97123,x97125,x97124,x97122,x97121)),f333(f333(f104(f882(x97122,a870)),x97124),x97125))) % 183.16/183.19 [9713]~P73(x97131)+~P23(f333(f61(x97132),x97134))+~P23(f333(f61(x97132),x97135))+E(f333(f333(f80(x97131),f333(f333(f9(x97132,x97131),x97133),x97134)),f333(f333(f9(x97132,x97131),x97133),x97135)),f333(f333(f9(x97132,x97131),x97133),f333(f333(f113(f882(x97132,a870)),x97134),x97135)))+P23(f333(f333(f335(x97132),f852(x97133,x97135,x97134,x97132,x97131)),f333(f333(f104(f882(x97132,a870)),x97134),x97135))) % 183.16/183.19 [9714]~P73(x97141)+~P23(f333(f61(x97142),x97144))+~P23(f333(f61(x97142),x97145))+E(f333(f333(f80(x97141),f333(f333(f9(x97142,x97141),x97143),x97144)),f333(f333(f9(x97142,x97141),x97143),x97145)),f333(f333(f9(x97142,x97141),x97143),f333(f333(f113(f882(x97142,a870)),x97144),x97145)))+P23(f333(f333(f335(x97142),f857(x97143,x97145,x97144,x97142,x97141)),f333(f333(f104(f882(x97142,a870)),x97144),x97145))) % 183.16/183.19 [9721]~P85(x97215)+~P23(f333(f61(x97211),x97214))+P23(f333(f333(f247(x97215),f333(f333(f6(x97211,x97215),x97212),x97213)),f333(f333(f6(x97211,x97215),x97212),x97214)))+~P23(f333(f333(f247(f882(x97211,a870)),x97213),x97214))+P23(f333(f333(f335(x97211),f371(x97212,x97213,x97214,x97211,x97215)),f333(f333(f22(f882(x97211,a870)),x97214),x97213))) % 183.16/183.19 [9775]~P73(x97751)+~P23(f333(f61(x97752),x97754))+~P23(f333(f61(x97752),x97755))+E(f333(f333(f80(x97751),f333(f333(f333(f65(x97751,x97752,f80(x97751)),x97753),f77(x97751)),x97754)),f333(f333(f333(f65(x97751,x97752,f80(x97751)),x97753),f77(x97751)),x97755)),f333(f333(f333(f65(x97751,x97752,f80(x97751)),x97753),f77(x97751)),f333(f333(f113(f882(x97752,a870)),x97754),x97755)))+P23(f333(f333(f335(x97752),f854(x97753,x97755,x97754,x97752,x97751)),f333(f333(f104(f882(x97752,a870)),x97754),x97755))) % 183.16/183.19 [8739]~P13(x87391,x87394,x87395)+~P23(f333(f61(x87391),x87392))+E(f333(f333(f22(f882(x87391,a870)),x87392),f333(f333(f311(x87391),x87393),f196(f882(x87391,a870)))),f196(f882(x87391,a870)))+~P23(f333(f333(f335(x87391),x87393),x87392))+E(f333(f333(x87394,x87393),f333(x87395,f333(f333(f22(f882(x87391,a870)),x87392),f333(f333(f311(x87391),x87393),f196(f882(x87391,a870)))))),f333(x87395,x87392)) % 183.16/183.19 [8813]~P13(x88131,x88134,x88135)+~P23(f333(f61(x88131),x88133))+~P23(f333(f61(x88131),x88132))+E(f333(f333(f104(f882(x88131,a870)),x88132),x88133),f196(f882(x88131,a870)))+E(f333(f333(x88134,f333(x88135,f333(f333(f113(f882(x88131,a870)),x88132),x88133))),f333(x88135,f333(f333(f104(f882(x88131,a870)),x88132),x88133))),f333(f333(x88134,f333(x88135,x88132)),f333(x88135,x88133))) % 183.16/183.19 [9380]~P23(f333(f333(f247(a1),x93804),f2(a1)))+~P23(f333(f333(f248(a1),x93803),x93805))+P23(f333(f333(f247(a1),x93801),x93802))+~P23(f333(f333(f248(a1),x93803),x93804))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),f333(f333(f80(a1),x93803),x93802)),x93805)),f333(f333(f79(a1),f333(f333(f80(a1),x93803),x93801)),x93804))) % 183.16/183.19 [9382]~P23(f333(f333(f247(a1),f2(a1)),x93825))+P23(f333(f333(f247(a1),x93821),x93822))+~P23(f333(f333(f248(a1),x93823),x93824))+~P23(f333(f333(f248(a1),x93825),x93824))+~P23(f333(f333(f247(a1),f333(f333(f79(a1),f333(f333(f80(a1),x93824),x93821)),x93825)),f333(f333(f79(a1),f333(f333(f80(a1),x93824),x93822)),x93823))) % 183.16/183.19 [9493]~P59(x94935)+E(f333(x94931,f398(x94931,x94932,x94933,x94934,x94935)),f2(x94935))+~P23(f333(f61(x94934),x94933))+~P23(f333(f61(x94934),x94932))+E(f333(f333(f291(x94935),f333(f333(f80(x94935),f333(f333(f9(x94934,x94935),x94931),x94933)),f333(f333(f9(x94934,x94935),x94931),x94932))),f333(f333(f9(x94934,x94935),x94931),f333(f333(f104(f882(x94934,a870)),x94933),x94932))),f333(f333(f9(x94934,x94935),x94931),f333(f333(f113(f882(x94934,a870)),x94933),x94932))) % 183.16/183.19 [9767]~P59(x97671)+~P23(f333(f61(x97672),x97674))+~P23(f333(f61(x97672),x97675))+E(f333(f333(f291(x97671),f333(f333(f80(x97671),f333(f333(f9(x97672,x97671),x97673),x97674)),f333(f333(f9(x97672,x97671),x97673),x97675))),f333(f333(f9(x97672,x97671),x97673),f333(f333(f104(f882(x97672,a870)),x97674),x97675))),f333(f333(f9(x97672,x97671),x97673),f333(f333(f113(f882(x97672,a870)),x97674),x97675)))+P23(f333(f333(f335(x97672),f398(x97673,x97675,x97674,x97672,x97671)),f333(f333(f104(f882(x97672,a870)),x97674),x97675))) % 183.16/183.19 [9093]E(f333(f333(f135(x90931),x90932),x90933),f333(f333(f135(x90931),x90934),x90935))+~E(f333(f333(f177(x90931),f333(f197(f876(x90931)),x90934)),x90932),x90934)+~E(f333(f333(f177(x90931),f333(f197(f876(x90931)),x90932)),x90934),x90932)+~E(x90935,f333(f333(f135(x90931),f333(f333(f139(x90931),f333(f197(f876(x90931)),x90934)),x90932)),x90933))+~E(f333(f333(f135(x90931),f333(f333(f139(x90931),f333(f197(f876(x90931)),x90932)),x90934)),x90935),x90933) % 183.16/183.19 [9491]~P106(x94912)+E(f333(f333(f149(x94911,x94912,x94913),x94914),f172(x94911,x94914,x94915)),x94915)+~P28(x94912,f333(f333(f155(x94911,x94912),x94913),x94915))+~P23(f333(f333(f335(x94911),x94914),f333(f174(x94911),x94915)))+~E(f333(f142(x94911),f333(f137(x94911,f333(f333(f8(x94912,a870,x94911),f333(a330,f333(x94913,x94914))),x94913)),x94915)),x94914) % 183.16/183.19 [9829]~P67(x98291)+~P23(f333(f66(x98291,x98291,f80(x98291),x98292,x98293),x98295))+~P23(f333(f333(f335(x98291),x98294),x98293))+P23(f333(f333(f335(x98291),x98292),x98293))+P23(f333(f66(x98291,x98291,f80(x98291),x98294,f333(f333(f311(x98291),x98292),f333(f333(f22(f882(x98291,a870)),x98293),f333(f333(f311(x98291),x98294),f196(f882(x98291,a870)))))),x98295)) % 183.16/183.19 [7225]E(x72251,x72252)+~P20(x72254,x72255,x72253,x72256)+~E(f333(x72253,x72251),f333(x72253,x72252))+~P23(f333(f333(f335(x72254),x72252),x72256))+~P23(f333(f333(f335(x72254),x72251),x72256)) % 183.16/183.19 [6484]~P139(x64844)+E(x64841,x64842)+~E(x64845,x64846)+E(x64843,f2(x64844))+~E(f333(f333(f79(x64844),x64845),f333(f333(f80(x64844),x64843),x64841)),f333(f333(f79(x64844),x64846),f333(f333(f80(x64844),x64843),x64842))) % 183.16/183.19 [7517]~P26(x75171)+~P106(x75171)+~P23(f333(f333(f248(x75171),x75172),f333(x75175,x75176)))+~P23(f333(f333(f335(x75173),x75176),x75174))+P23(f333(f333(f248(x75171),x75172),f333(f333(f41(x75173,x75171),x75174),x75175))) % 183.16/183.19 [8212]~P26(x82121)+~P106(x82121)+~P23(f333(f333(f248(x82121),f333(x82124,x82126)),x82125))+~P23(f333(f333(f335(x82122),x82126),x82123))+P23(f333(f333(f248(x82121),f333(f333(f42(x82122,x82121),x82123),x82124)),x82125)) % 183.16/183.19 [8474]~P14(x84742,x84745,x84746,x84741)+~P23(f333(f61(x84742),x84744))+~P23(f333(f61(x84742),x84743))+~E(f333(f333(f104(f882(x84742,a870)),x84743),x84744),f196(f882(x84742,a870)))+E(f333(x84741,f333(f333(f113(f882(x84742,a870)),x84743),x84744)),f333(f72(x84745,x84745,x84745,f333(x84741,x84743)),f333(x84741,x84744))) % 183.16/183.19 [8782]E(x87821,x87822)+~P51(x87824,x87825,x87826,x87823,x87827)+~E(f333(x87823,x87821),f333(x87823,x87822))+~P23(f333(f333(f335(x87825),x87822),x87827))+~P23(f333(f333(f335(x87825),x87821),x87827)) % 183.16/183.19 [10075]~P23(f333(x100752,x100754))+~E(x100755,f333(f137(x100751,x100752),x100757))+E(f333(f137(x100751,x100752),x100753),f333(f333(f152(x100751),x100754),x100755))+~E(x100753,f333(f333(f135(x100751),x100756),f333(f333(f152(x100751),x100754),x100757)))+P23(f333(x100752,f789(x100755,x100754,x100753,x100752,x100751,x100756,x100757))) % 183.16/183.19 [10076]~P23(f333(x100764,x100762))+~E(x100763,f333(f137(x100761,x100764),x100767))+E(f333(f333(f152(x100761),x100762),x100763),f333(f137(x100761,x100764),x100765))+~E(x100765,f333(f333(f135(x100761),x100766),f333(f333(f152(x100761),x100762),x100767)))+P23(f333(x100764,f788(x100765,x100764,x100763,x100762,x100761,x100766,x100767))) % 183.16/183.19 [10110]~P23(f333(x101102,x101104))+~E(x101105,f333(f137(x101101,x101102),x101107))+E(f333(f137(x101101,x101102),x101103),f333(f333(f152(x101101),x101104),x101105))+~E(x101103,f333(f333(f135(x101101),x101106),f333(f333(f152(x101101),x101104),x101107)))+P23(f333(f333(f335(x101101),f789(x101105,x101104,x101103,x101102,x101101,x101106,x101107)),f333(f174(x101101),x101106))) % 183.16/183.19 [10111]~P23(f333(x101114,x101112))+~E(x101113,f333(f137(x101111,x101114),x101117))+E(f333(f333(f152(x101111),x101112),x101113),f333(f137(x101111,x101114),x101115))+~E(x101115,f333(f333(f135(x101111),x101116),f333(f333(f152(x101111),x101112),x101117)))+P23(f333(f333(f335(x101111),f788(x101115,x101114,x101113,x101112,x101111,x101116,x101117)),f333(f174(x101111),x101116))) % 183.16/183.19 [10114]~P3(x101141,x101147,x101146)+~P8(x101141,f882(x101145,a870),x101146,x101144)+P23(f333(f333(f335(x101141),f533(x101142,x101143,x101144,x101145,x101146,x101147,x101141)),x101147))+~P23(f333(f333(f335(f882(x101141,a870)),x101143),f333(f333(f60(x101141),x101147),x101146)))+P23(f333(f333(f335(f882(x101145,a870)),f333(f333(f41(x101141,f882(x101145,a870)),x101143),x101144)),x101142)) % 183.16/183.19 [10159]~P3(x101592,x101596,x101597)+~P8(x101592,f882(x101591,a870),x101597,x101594)+~P23(f333(f333(f335(f882(x101592,a870)),x101593),f333(f333(f60(x101592),x101596),x101597)))+~P23(f333(f333(f335(f882(x101591,a870)),f333(x101594,f533(x101595,x101593,x101594,x101591,x101597,x101596,x101592))),x101595))+P23(f333(f333(f335(f882(x101591,a870)),f333(f333(f41(x101592,f882(x101591,a870)),x101593),x101594)),x101595)) % 183.16/183.19 [8381]~P73(x83812)+~P20(x83811,x83815,x83818,x83814)+~E(x83813,f333(f72(x83815,x83812,x83811,x83816),x83818))+~E(x83817,f333(f312(x83811,x83815,x83818),x83814))+E(f333(f333(f9(x83811,x83812),x83813),x83814),f333(f333(f9(x83815,x83812),x83816),x83817)) % 183.16/183.19 [10163]~P73(x101632)+~P20(x101635,x101631,x101638,x101637)+~E(f333(x101636,f859(x101633,x101636,x101634,x101637,x101638,x101631,x101635,x101632)),f333(f333(f72(x101631,x101632,x101635,x101633),x101638),f859(x101633,x101636,x101634,x101637,x101638,x101631,x101635,x101632)))+~E(x101634,f333(f312(x101635,x101631,x101638),x101637))+E(f333(f333(f9(x101631,x101632),x101633),x101634),f333(f333(f9(x101635,x101632),x101636),x101637)) % 183.16/183.19 [10165]~P66(x101652)+~P20(x101651,x101655,x101658,x101654)+~E(x101657,f333(f312(x101651,x101655,x101658),x101654))+E(f333(f333(f6(x101651,x101652),x101653),x101654),f333(f333(f6(x101655,x101652),x101656),x101657))+P23(f333(f333(f335(x101651),f833(x101656,x101653,x101657,x101654,x101658,x101655,x101651,x101652)),x101654)) % 183.16/183.19 [10166]~P73(x101662)+~P20(x101661,x101665,x101668,x101664)+~E(x101667,f333(f312(x101661,x101665,x101668),x101664))+E(f333(f333(f9(x101661,x101662),x101663),x101664),f333(f333(f9(x101665,x101662),x101666),x101667))+P23(f333(f333(f335(x101661),f859(x101666,x101663,x101667,x101664,x101668,x101665,x101661,x101662)),x101664)) % 183.16/183.19 [10172]~P66(x101722)+~P20(x101725,x101721,x101728,x101727)+~E(x101724,f333(f312(x101725,x101721,x101728),x101727))+~E(f333(x101726,f833(x101723,x101726,x101724,x101727,x101728,x101721,x101725,x101722)),f333(x101723,f333(x101728,f833(x101723,x101726,x101724,x101727,x101728,x101721,x101725,x101722))))+E(f333(f333(f6(x101721,x101722),x101723),x101724),f333(f333(f6(x101725,x101722),x101726),x101727)) % 183.16/183.19 [9546]~E(f333(f197(f876(x95462)),x95465),f333(f197(f876(x95461)),x95463))+~E(f333(f197(f876(x95462)),x95464),f333(f197(f876(x95461)),x95463))+~E(f333(f333(f333(f71(x95461,f879(x95462)),f333(f180(x95461,x95462),f333(f333(f184(x95461,x95462),x95463),x95464))),x95466),f333(f240(x95462),x95467)),f333(f333(f333(f71(x95461,f879(x95462)),f333(f180(x95461,x95462),f333(f333(f184(x95461,x95462),x95463),x95465))),x95466),f333(f240(x95462),x95468)))+E(f333(f180(x95461,x95462),f333(f333(f184(x95461,x95462),x95463),x95464)),f333(f180(x95461,x95462),f333(f333(f184(x95461,x95462),x95463),x95465)))+P23(f333(f333(f335(x95461),x95466),f333(f174(x95461),x95463))) % 183.16/183.19 [9659]~P18(x96596,x96592,x96595,x96597,x96598,x96591)+~P23(f333(f61(x96592),x96594))+~P23(f333(f61(x96592),x96593))+~E(f333(f333(f104(f882(x96592,a870)),x96593),x96594),f196(f882(x96592,a870)))+E(f333(x96591,f333(f333(f113(f882(x96592,a870)),x96593),x96594)),f333(f333(x96595,f333(x96591,x96593)),f333(x96591,x96594))) % 183.16/183.19 [10062]~P18(x100628,x100622,x100625,x100627,x100626,x100621)+~E(f333(x100626,f641(x100624,x100623,x100621,x100626,x100627,x100625,x100622)),x100627)+~P23(f333(f61(x100622),x100623))+~P23(f333(f61(x100622),x100624))+E(f333(x100621,f333(f333(f113(f882(x100622,a870)),x100623),x100624)),f333(f333(x100625,f333(x100621,x100623)),f333(x100621,x100624))) % 183.16/183.19 [10119]~P18(x101198,x101192,x101195,x101197,x101196,x101191)+~P23(f333(f61(x101192),x101193))+~P23(f333(f61(x101192),x101194))+E(f333(x101191,f333(f333(f113(f882(x101192,a870)),x101193),x101194)),f333(f333(x101195,f333(x101191,x101193)),f333(x101191,x101194)))+P23(f333(f333(f335(x101192),f641(x101194,x101193,x101191,x101196,x101197,x101195,x101192)),f333(f333(f104(f882(x101192,a870)),x101193),x101194))) % 183.16/183.19 [9817]~P3(x98174,x98178,x98175)+~P3(x98171,x98179,x98173)+~P9(x98171,x98174,f882(x98172,a870),x98173,x98175,x98177)+P8(x98171,f882(x98172,a870),x98173,f333(f333(f8(f882(x98174,f882(x98172,a870)),f882(x98172,a870),x98171),f333(f41(x98174,f882(x98172,a870)),f333(f287(x98174,x98174,x98175),f333(f333(f311(x98174),x98176),f196(f882(x98174,a870)))))),x98177))+~P23(f333(f333(f335(x98174),x98176),x98178)) % 183.16/183.19 [5418]~P106(x54183)+~P28(x54183,x54181)+E(x54181,f760(x54182,x54183))+~E(f333(f174(x54183),x54181),x54182)+~P23(f333(f61(x54183),x54182))+~P23(f333(f138(x54183),x54181)) % 183.16/183.19 [5046]~P111(x50462)+~P124(x50462)+~P129(x50462)+~P140(x50462)+E(x50461,f2(x50462))+~E(f333(f333(f258(x50462),x50461),x50463),f2(x50462)) % 183.16/183.19 [5047]~P111(x50472)+~P124(x50472)+~P129(x50472)+~P140(x50472)+~E(x50471,f2(a875))+~E(f333(f333(f258(x50472),x50473),x50471),f2(x50472)) % 183.16/183.19 [6466]~P85(x64661)+~E(x64663,f2(x64661))+~E(x64662,f2(x64661))+E(f333(f333(f79(x64661),x64662),x64663),f2(x64661))+~P23(f333(f333(f247(x64661),f2(x64661)),x64663))+~P23(f333(f333(f247(x64661),f2(x64661)),x64662)) % 183.16/183.19 [8844]~E(f333(f267(a875,a875),x88443),f2(a875))+~E(x88441,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x88443)),x88442)),f333(f271(a875,a875),x88443)))+P23(f333(f47(x88441,x88442),x88443))+~P23(f333(f333(f247(a875),f333(f271(a875,a875),x88443)),f2(a875)))+P23(f333(f333(f248(a875),f2(a875)),x88442))+~P23(f333(f333(f248(a875),x88442),f333(f271(a875,a875),x88443))) % 183.16/183.19 [8852]E(x88521,f2(a875))+~E(x88522,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x88523)),x88521)),f333(f271(a875,a875),x88523)))+P23(f333(f47(x88522,x88521),x88523))+~P23(f333(f333(f248(a875),f2(a875)),x88521))+~P23(f333(f333(f247(a875),f2(a875)),f333(f271(a875,a875),x88523)))+~P23(f333(f333(f248(a875),f333(f271(a875,a875),x88523)),x88521)) % 183.16/183.19 [8870]~E(f333(f267(a875,a875),x88703),f2(a875))+~E(x88701,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x88703)),x88702)),f333(f271(a875,a875),x88703)))+P23(f333(f47(x88701,x88702),x88703))+~P23(f333(f333(f248(a875),f2(a875)),x88702))+~P23(f333(f333(f247(a875),f2(a875)),f333(f271(a875,a875),x88703)))+~P23(f333(f333(f248(a875),f333(f271(a875,a875),x88703)),x88702)) % 183.16/183.19 [6848]~P62(x68482)+E(x68481,f196(f882(x68482,a870)))+E(x68483,f196(f882(x68482,a870)))+~P23(f333(f61(x68482),x68481))+~P23(f333(f61(x68482),x68483))+E(f13(x68482,f333(f333(f113(f882(x68482,a870)),x68483),x68481)),f333(f333(f113(x68482),f13(x68482,x68483)),f13(x68482,x68481))) % 183.16/183.19 [6849]~P62(x68492)+E(x68491,f196(f882(x68492,a870)))+E(x68493,f196(f882(x68492,a870)))+~P23(f333(f61(x68492),x68491))+~P23(f333(f61(x68492),x68493))+E(f10(x68492,f333(f333(f113(f882(x68492,a870)),x68493),x68491)),f333(f333(f104(x68492),f10(x68492,x68493)),f10(x68492,x68491))) % 183.16/183.19 [6850]~P106(x68502)+E(x68501,f196(f882(x68502,a870)))+E(x68503,f196(f882(x68502,a870)))+~P23(f333(f61(x68502),x68501))+~P23(f333(f61(x68502),x68503))+E(f14(x68502,f333(f333(f113(f882(x68502,a870)),x68503),x68501)),f333(f333(f245(x68502),f14(x68502,x68503)),f14(x68502,x68501))) % 183.16/183.19 [6851]~P106(x68512)+E(x68511,f196(f882(x68512,a870)))+E(x68513,f196(f882(x68512,a870)))+~P23(f333(f61(x68512),x68511))+~P23(f333(f61(x68512),x68513))+E(f15(x68512,f333(f333(f113(f882(x68512,a870)),x68513),x68511)),f333(f333(f246(x68512),f15(x68512,x68513)),f15(x68512,x68511))) % 183.16/183.19 [7492]~P94(x74922)+E(x74921,f196(f882(x74922,a870)))+E(x74923,f196(f882(x74922,a870)))+~P23(f333(f61(x74922),x74921))+~P23(f333(f61(x74922),x74923))+E(f333(f333(f80(x74922),f333(f63(x74922,f80(x74922)),x74923)),f333(f63(x74922,f80(x74922)),x74921)),f333(f63(x74922,f80(x74922)),f333(f333(f113(f882(x74922,a870)),x74923),x74921))) % 183.16/183.19 [7650]~P106(x76502)+E(x76501,f196(f882(x76502,a870)))+E(x76503,f196(f882(x76502,a870)))+~P23(f333(f61(x76502),x76501))+~P23(f333(f61(x76502),x76503))+E(f333(f333(f245(x76502),f11(x76502,f245(x76502),x76503)),f11(x76502,f245(x76502),x76501)),f11(x76502,f245(x76502),f333(f333(f113(f882(x76502,a870)),x76503),x76501))) % 183.16/183.19 [7651]~P106(x76512)+E(x76511,f196(f882(x76512,a870)))+E(x76513,f196(f882(x76512,a870)))+~P23(f333(f61(x76512),x76511))+~P23(f333(f61(x76512),x76513))+E(f333(f333(f246(x76512),f12(x76512,f246(x76512),x76513)),f12(x76512,f246(x76512),x76511)),f12(x76512,f246(x76512),f333(f333(f113(f882(x76512,a870)),x76513),x76511))) % 183.16/183.19 [8692]~P23(f333(x86921,x86923))+P23(f333(x86921,f444(x86921,x86922)))+P23(f333(x86921,f434(x86921,x86922)))+~P23(f333(f333(f248(a1),f2(a1)),x86922))+~P23(f333(f333(f335(a1),x86923),f304(a1,f77(a1),x86922)))+P23(f333(x86921,f333(f333(f22(a1),f434(x86921,x86922)),f333(f333(f80(a1),f442(x86921,x86922)),x86922)))) % 183.16/183.19 [8992]~P23(f333(x89921,x89923))+~P23(f333(x89921,f434(x89921,x89922)))+P23(f333(x89921,f444(x89921,x89922)))+~P23(f333(f333(f248(a1),f2(a1)),x89922))+~P23(f333(f333(f335(a1),x89923),f304(a1,f77(a1),x89922)))+~P23(f333(x89921,f333(f333(f22(a1),f434(x89921,x89922)),f333(f333(f80(a1),f442(x89921,x89922)),x89922)))) % 183.16/183.19 [10197]~P96(x101972)+E(x101971,f196(f882(x101972,a870)))+E(x101973,f196(f882(x101972,a870)))+~P23(f333(f61(x101972),x101971))+~P23(f333(f61(x101972),x101973))+E(f10(x101972,f333(f253(x101972),f333(f333(f8(f882(x101972,a870),a870,x101972),f86(x101972)),f333(f333(f8(f882(x101972,f882(x101972,a870)),f882(x101972,a870),x101972),f333(f8(f882(x101972,a870),a870,x101972),f86(x101972))),f333(f333(f7(x101972,f882(x101972,f882(x101972,a870)),f882(x101972,f882(x101972,a870))),f333(f333(f8(f882(x101972,f882(f882(x101972,a870),f882(x101972,a870))),f882(f882(x101972,f882(x101972,a870)),f882(x101972,f882(x101972,a870))),x101972),f18(x101972,f882(x101972,a870),f882(x101972,a870))),f333(f333(f8(f882(x101972,f882(x101972,f882(a870,a870))),f882(x101972,f882(f882(x101972,a870),f882(x101972,a870))),x101972),f333(f8(f882(x101972,f882(a870,a870)),f882(f882(x101972,a870),f882(x101972,a870)),x101972),f18(x101972,a870,a870))),f333(f333(f8(f882(x101972,f882(x101972,a870)),f882(x101972,f882(x101972,f882(a870,a870))),x101972),f333(f8(f882(x101972,a870),f882(x101972,f882(a870,a870)),x101972),f333(f8(a870,f882(a870,a870),x101972),a331))),f333(f333(f7(x101972,f882(x101972,f882(x101972,x101972)),f882(x101972,f882(x101972,a870))),f333(f333(f8(f882(f882(x101972,x101972),f882(x101972,a870)),f882(f882(x101972,f882(x101972,x101972)),f882(x101972,f882(x101972,a870))),x101972),f8(f882(x101972,x101972),f882(x101972,a870),x101972)),f333(f333(f8(f882(x101972,a870),f882(f882(x101972,x101972),f882(x101972,a870)),x101972),f8(x101972,a870,x101972)),a330))),f113(x101972)))))),f333(f333(f7(x101972,f882(x101972,a870),f882(x101972,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x101972,a870),f882(x101972,a870)),x101972),f8(a870,a870,x101972)),f333(f333(f8(a870,f882(a870,a870),x101972),a331),f333(f333(f7(x101972,f882(x101972,a870),a870),f335(x101972)),x101973)))),f333(f333(f7(x101972,f882(x101972,a870),a870),f335(x101972)),x101971))))))),f333(f333(f113(x101972),f10(x101972,x101973)),f10(x101972,x101971))) % 183.16/183.19 [10198]~P96(x101982)+E(x101981,f196(f882(x101982,a870)))+E(x101983,f196(f882(x101982,a870)))+~P23(f333(f61(x101982),x101981))+~P23(f333(f61(x101982),x101983))+E(f13(x101982,f333(f253(x101982),f333(f333(f8(f882(x101982,a870),a870,x101982),f86(x101982)),f333(f333(f8(f882(x101982,f882(x101982,a870)),f882(x101982,a870),x101982),f333(f8(f882(x101982,a870),a870,x101982),f86(x101982))),f333(f333(f7(x101982,f882(x101982,f882(x101982,a870)),f882(x101982,f882(x101982,a870))),f333(f333(f8(f882(x101982,f882(f882(x101982,a870),f882(x101982,a870))),f882(f882(x101982,f882(x101982,a870)),f882(x101982,f882(x101982,a870))),x101982),f18(x101982,f882(x101982,a870),f882(x101982,a870))),f333(f333(f8(f882(x101982,f882(x101982,f882(a870,a870))),f882(x101982,f882(f882(x101982,a870),f882(x101982,a870))),x101982),f333(f8(f882(x101982,f882(a870,a870)),f882(f882(x101982,a870),f882(x101982,a870)),x101982),f18(x101982,a870,a870))),f333(f333(f8(f882(x101982,f882(x101982,a870)),f882(x101982,f882(x101982,f882(a870,a870))),x101982),f333(f8(f882(x101982,a870),f882(x101982,f882(a870,a870)),x101982),f333(f8(a870,f882(a870,a870),x101982),a331))),f333(f333(f7(x101982,f882(x101982,f882(x101982,x101982)),f882(x101982,f882(x101982,a870))),f333(f333(f8(f882(f882(x101982,x101982),f882(x101982,a870)),f882(f882(x101982,f882(x101982,x101982)),f882(x101982,f882(x101982,a870))),x101982),f8(f882(x101982,x101982),f882(x101982,a870),x101982)),f333(f333(f8(f882(x101982,a870),f882(f882(x101982,x101982),f882(x101982,a870)),x101982),f8(x101982,a870,x101982)),a330))),f104(x101982)))))),f333(f333(f7(x101982,f882(x101982,a870),f882(x101982,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x101982,a870),f882(x101982,a870)),x101982),f8(a870,a870,x101982)),f333(f333(f8(a870,f882(a870,a870),x101982),a331),f333(f333(f7(x101982,f882(x101982,a870),a870),f335(x101982)),x101983)))),f333(f333(f7(x101982,f882(x101982,a870),a870),f335(x101982)),x101981))))))),f333(f333(f104(x101982),f13(x101982,x101983)),f13(x101982,x101981))) % 183.16/183.19 [10199]~P106(x101992)+E(x101991,f196(f882(x101992,a870)))+E(x101993,f196(f882(x101992,a870)))+~P23(f333(f61(x101992),x101991))+~P23(f333(f61(x101992),x101993))+E(f12(x101992,f246(x101992),f333(f253(x101992),f333(f333(f8(f882(x101992,a870),a870,x101992),f86(x101992)),f333(f333(f8(f882(x101992,f882(x101992,a870)),f882(x101992,a870),x101992),f333(f8(f882(x101992,a870),a870,x101992),f86(x101992))),f333(f333(f7(x101992,f882(x101992,f882(x101992,a870)),f882(x101992,f882(x101992,a870))),f333(f333(f8(f882(x101992,f882(f882(x101992,a870),f882(x101992,a870))),f882(f882(x101992,f882(x101992,a870)),f882(x101992,f882(x101992,a870))),x101992),f18(x101992,f882(x101992,a870),f882(x101992,a870))),f333(f333(f8(f882(x101992,f882(x101992,f882(a870,a870))),f882(x101992,f882(f882(x101992,a870),f882(x101992,a870))),x101992),f333(f8(f882(x101992,f882(a870,a870)),f882(f882(x101992,a870),f882(x101992,a870)),x101992),f18(x101992,a870,a870))),f333(f333(f8(f882(x101992,f882(x101992,a870)),f882(x101992,f882(x101992,f882(a870,a870))),x101992),f333(f8(f882(x101992,a870),f882(x101992,f882(a870,a870)),x101992),f333(f8(a870,f882(a870,a870),x101992),a331))),f333(f333(f7(x101992,f882(x101992,f882(x101992,x101992)),f882(x101992,f882(x101992,a870))),f333(f333(f8(f882(f882(x101992,x101992),f882(x101992,a870)),f882(f882(x101992,f882(x101992,x101992)),f882(x101992,f882(x101992,a870))),x101992),f8(f882(x101992,x101992),f882(x101992,a870),x101992)),f333(f333(f8(f882(x101992,a870),f882(f882(x101992,x101992),f882(x101992,a870)),x101992),f8(x101992,a870,x101992)),a330))),f245(x101992)))))),f333(f333(f7(x101992,f882(x101992,a870),f882(x101992,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x101992,a870),f882(x101992,a870)),x101992),f8(a870,a870,x101992)),f333(f333(f8(a870,f882(a870,a870),x101992),a331),f333(f333(f7(x101992,f882(x101992,a870),a870),f335(x101992)),x101993)))),f333(f333(f7(x101992,f882(x101992,a870),a870),f335(x101992)),x101991))))))),f333(f333(f245(x101992),f12(x101992,f246(x101992),x101993)),f12(x101992,f246(x101992),x101991))) % 183.16/183.19 [10200]~P106(x102002)+E(x102001,f196(f882(x102002,a870)))+E(x102003,f196(f882(x102002,a870)))+~P23(f333(f61(x102002),x102001))+~P23(f333(f61(x102002),x102003))+E(f11(x102002,f245(x102002),f333(f253(x102002),f333(f333(f8(f882(x102002,a870),a870,x102002),f86(x102002)),f333(f333(f8(f882(x102002,f882(x102002,a870)),f882(x102002,a870),x102002),f333(f8(f882(x102002,a870),a870,x102002),f86(x102002))),f333(f333(f7(x102002,f882(x102002,f882(x102002,a870)),f882(x102002,f882(x102002,a870))),f333(f333(f8(f882(x102002,f882(f882(x102002,a870),f882(x102002,a870))),f882(f882(x102002,f882(x102002,a870)),f882(x102002,f882(x102002,a870))),x102002),f18(x102002,f882(x102002,a870),f882(x102002,a870))),f333(f333(f8(f882(x102002,f882(x102002,f882(a870,a870))),f882(x102002,f882(f882(x102002,a870),f882(x102002,a870))),x102002),f333(f8(f882(x102002,f882(a870,a870)),f882(f882(x102002,a870),f882(x102002,a870)),x102002),f18(x102002,a870,a870))),f333(f333(f8(f882(x102002,f882(x102002,a870)),f882(x102002,f882(x102002,f882(a870,a870))),x102002),f333(f8(f882(x102002,a870),f882(x102002,f882(a870,a870)),x102002),f333(f8(a870,f882(a870,a870),x102002),a331))),f333(f333(f7(x102002,f882(x102002,f882(x102002,x102002)),f882(x102002,f882(x102002,a870))),f333(f333(f8(f882(f882(x102002,x102002),f882(x102002,a870)),f882(f882(x102002,f882(x102002,x102002)),f882(x102002,f882(x102002,a870))),x102002),f8(f882(x102002,x102002),f882(x102002,a870),x102002)),f333(f333(f8(f882(x102002,a870),f882(f882(x102002,x102002),f882(x102002,a870)),x102002),f8(x102002,a870,x102002)),a330))),f246(x102002)))))),f333(f333(f7(x102002,f882(x102002,a870),f882(x102002,a870)),f333(f333(f8(f882(a870,a870),f882(f882(x102002,a870),f882(x102002,a870)),x102002),f8(a870,a870,x102002)),f333(f333(f8(a870,f882(a870,a870),x102002),a331),f333(f333(f7(x102002,f882(x102002,a870),a870),f335(x102002)),x102003)))),f333(f333(f7(x102002,f882(x102002,a870),a870),f335(x102002)),x102001))))))),f333(f333(f246(x102002),f11(x102002,f245(x102002),x102003)),f11(x102002,f245(x102002),x102001))) % 183.16/183.19 [7176]~P120(x71763)+E(x71761,x71762)+~E(f333(f333(f258(x71763),x71761),x71764),f333(f333(f258(x71763),x71762),x71764))+~P23(f333(f333(f247(x71763),f2(x71763)),x71762))+~P23(f333(f333(f247(x71763),f2(x71763)),x71761))+~P23(f333(f333(f248(a875),f2(a875)),x71764)) % 183.16/183.19 [7449]~P106(x74492)+E(x74491,f196(f882(x74492,a870)))+~P23(f333(f61(x74492),x74491))+~P23(f333(f333(f335(x74492),x74494),x74491))+P23(f333(f333(f248(x74492),x74493),x74494))+~P23(f333(f333(f248(x74492),x74493),f333(f63(x74492,f245(x74492)),x74491))) % 183.16/183.19 [7450]~P99(x74502)+E(x74501,f196(f882(x74502,a870)))+~P23(f333(f61(x74502),x74501))+~P23(f333(f333(f335(x74502),x74504),x74501))+P23(f333(f333(f247(x74502),x74503),x74504))+~P23(f333(f333(f247(x74502),x74503),f333(f63(x74502,f104(x74502)),x74501))) % 183.16/183.19 [7451]~P106(x74512)+E(x74511,f196(f882(x74512,a870)))+~P23(f333(f61(x74512),x74511))+~P23(f333(f333(f335(x74512),x74514),x74511))+P23(f333(f333(f247(x74512),x74513),x74514))+~P23(f333(f333(f247(x74512),x74513),f333(f63(x74512,f245(x74512)),x74511))) % 183.16/183.19 [7350]E(x73501,f2(a1))+E(f333(f333(f38(a1),x73502),x73501),x73503)+~P23(f333(f333(f247(a1),x73504),f2(a1)))+~E(x73502,f333(f333(f79(a1),f333(f333(f80(a1),x73501),x73503)),x73504))+P23(f333(f333(f248(a1),f2(a1)),x73501))+~P23(f333(f333(f248(a1),x73501),x73504)) % 183.16/183.19 [7365]E(f44(a1,x73652,x73651),x73653)+E(x73651,f2(a1))+~P23(f333(f333(f247(a1),x73653),f2(a1)))+~E(x73652,f333(f333(f79(a1),f333(f333(f80(a1),x73651),x73654)),x73653))+P23(f333(f333(f248(a1),f2(a1)),x73651))+~P23(f333(f333(f248(a1),x73651),x73653)) % 183.16/183.19 [7491]E(x74911,f2(a1))+E(f333(f333(f38(a1),x74912),x74911),x74913)+~E(x74912,f333(f333(f79(a1),f333(f333(f80(a1),x74911),x74913)),x74914))+~P23(f333(f333(f248(a1),f2(a1)),x74911))+~P23(f333(f333(f247(a1),f2(a1)),x74914))+~P23(f333(f333(f248(a1),x74914),x74911)) % 183.16/183.19 [7513]E(f44(a1,x75132,x75131),x75133)+E(x75131,f2(a1))+~E(x75132,f333(f333(f79(a1),f333(f333(f80(a1),x75131),x75134)),x75133))+~P23(f333(f333(f248(a1),f2(a1)),x75131))+~P23(f333(f333(f247(a1),f2(a1)),x75133))+~P23(f333(f333(f248(a1),x75133),x75131)) % 183.16/183.19 [7654]~P106(x76542)+E(x76541,f196(f882(x76542,a870)))+~P23(f333(f61(x76542),x76541))+~P23(f333(f333(f248(x76542),x76544),x76543))+~P23(f333(f333(f335(x76542),x76544),x76541))+P23(f333(f333(f248(x76542),f333(f63(x76542,f245(x76542)),x76541)),x76543)) % 183.16/183.19 [7655]~P106(x76552)+E(x76551,f196(f882(x76552,a870)))+~P23(f333(f61(x76552),x76551))+~P23(f333(f333(f247(x76552),x76554),x76553))+~P23(f333(f333(f335(x76552),x76554),x76551))+P23(f333(f333(f247(x76552),f333(f63(x76552,f245(x76552)),x76551)),x76553)) % 183.16/183.19 [8237]~P23(f333(f333(f247(a1),x82374),f2(a1)))+~E(x82371,f333(f333(f79(a1),f333(f333(f80(a1),x82372),x82373)),x82374))+~P23(f333(f333(f247(a1),f2(a1)),x82374))+~P23(f333(f333(f248(a1),x82374),x82372))+~P23(f333(f333(f248(a1),x82372),x82374))+P23(f333(f48(x82371,x82372),f333(f333(f268(a1,a1),x82373),x82374))) % 183.16/183.19 [9185]~P57(x91853)+~P57(x91854)+E(x91851,x91852)+~E(f333(f197(f876(x91853)),x91852),f333(f197(f876(x91854)),f55(x91854)))+~E(f333(f197(f876(x91853)),x91851),f333(f197(f876(x91854)),f55(x91854)))+~E(f333(f72(f879(x91853),x91853,x91854,f244(x91853)),f333(f180(x91854,x91853),f333(f333(f184(x91854,x91853),f55(x91854)),x91851))),f333(f72(f879(x91853),x91853,x91854,f244(x91853)),f333(f180(x91854,x91853),f333(f333(f184(x91854,x91853),f55(x91854)),x91852)))) % 183.16/183.19 [8402]~P108(x84021)+P23(f333(f333(f248(f882(x84021,a870)),f304(x84021,x84022,x84023)),f304(x84021,x84024,x84025)))+~P23(f333(f333(f248(x84021),x84023),x84025))+~P23(f333(f333(f247(x84021),x84024),x84022))+~P23(f333(f333(f247(x84021),x84024),x84025))+~P23(f333(f333(f247(x84021),x84023),x84025)) % 183.16/183.19 [8403]~P108(x84031)+P23(f333(f333(f248(f882(x84031,a870)),f304(x84031,x84032,x84033)),f304(x84031,x84034,x84035)))+~P23(f333(f333(f248(x84031),x84034),x84032))+~P23(f333(f333(f247(x84031),x84033),x84035))+~P23(f333(f333(f247(x84031),x84034),x84035))+~P23(f333(f333(f247(x84031),x84034),x84032)) % 183.16/183.19 [9250]P53(x92502,x92503,x92504,x92501)+E(x92501,f196(f882(x92502,a870)))+~P23(f333(f61(x92502),x92504))+~P23(f333(f61(x92502),x92501))+~P23(f333(f333(x92503,f560(x92501,x92504,x92503,x92502)),x92505))+~P23(f333(f333(f335(x92502),x92505),x92501)) % 183.16/183.19 [9399]~E(x93993,x93995)+~P66(x93991)+~P73(x93991)+~P38(x93993)+E(f333(f333(f6(a1,x93991),x93992),x93993),f333(f333(f6(a1,x93991),x93994),x93995))+P23(f333(f333(f247(a1),f2(a1)),f467(x93992,x93994,x93993,x93995,x93991))) % 183.16/183.19 [9400]~E(x94003,x94005)+~P66(x94001)+~P73(x94001)+~P38(x94003)+E(f333(f333(f9(a1,x94001),x94002),x94003),f333(f333(f9(a1,x94001),x94004),x94005))+P23(f333(f333(f247(a1),f2(a1)),f463(x94002,x94004,x94003,x94005,x94001))) % 183.16/183.19 [9567]~E(x95675,x95673)+~P66(x95671)+~P73(x95671)+~P38(x95675)+~E(f333(x95672,f467(x95674,x95672,x95675,x95673,x95671)),f333(x95674,f467(x95674,x95672,x95675,x95673,x95671)))+E(f333(f333(f6(a1,x95671),x95672),x95673),f333(f333(f6(a1,x95671),x95674),x95675)) % 183.16/183.19 [9568]~E(x95685,x95683)+~P66(x95681)+~P73(x95681)+~P38(x95685)+~E(f333(x95682,f463(x95684,x95682,x95685,x95683,x95681)),f333(x95684,f463(x95684,x95682,x95685,x95683,x95681)))+E(f333(f333(f9(a1,x95681),x95682),x95683),f333(f333(f9(a1,x95681),x95684),x95685)) % 183.16/183.19 [9656]~P82(x96563)+E(f333(x96561,x96562),f2(x96563))+~E(f333(f333(f6(x96564,x96563),x96561),x96565),f2(x96563))+~P23(f333(f61(x96564),x96565))+P23(f333(f333(f335(x96564),f399(x96562,x96561,x96565,x96564,x96563)),x96565))+~P23(f333(f333(f335(x96564),x96562),x96565)) % 183.16/183.19 [9791]~P82(x97913)+E(f333(x97911,x97912),f2(x97913))+~E(f333(f333(f6(x97914,x97913),x97911),x97915),f2(x97913))+~P23(f333(f61(x97914),x97915))+~P23(f333(f333(f335(x97914),x97912),x97915))+~P23(f333(f333(f247(x97913),f2(x97913)),f333(x97911,f399(x97912,x97911,x97915,x97914,x97913)))) % 183.16/183.19 [8318]~P125(x83181)+~P23(f333(f333(f247(x83181),f2(x83181)),x83183))+~P23(f333(f333(f248(x83181),x83183),x83185))+~P23(f333(f333(f248(x83181),x83182),x83184))+~P23(f333(f333(f248(x83181),f2(x83181)),x83184))+P23(f333(f333(f248(x83181),f333(f333(f80(x83181),x83182),x83183)),f333(f333(f80(x83181),x83184),x83185))) % 183.16/183.19 [8319]~P125(x83191)+~P23(f333(f333(f247(x83191),f2(x83191)),x83193))+~P23(f333(f333(f247(x83191),f2(x83191)),x83192))+~P23(f333(f333(f248(x83191),x83193),x83195))+~P23(f333(f333(f248(x83191),x83192),x83194))+P23(f333(f333(f248(x83191),f333(f333(f80(x83191),x83192),x83193)),f333(f333(f80(x83191),x83194),x83195))) % 183.16/183.19 [8320]~P125(x83201)+~P23(f333(f333(f247(x83201),x83202),x83204))+~P23(f333(f333(f247(x83201),f2(x83201)),x83203))+~P23(f333(f333(f248(x83201),x83203),x83205))+~P23(f333(f333(f248(x83201),f2(x83201)),x83202))+P23(f333(f333(f248(x83201),f333(f333(f80(x83201),x83202),x83203)),f333(f333(f80(x83201),x83204),x83205))) % 183.16/183.19 [8321]~P125(x83211)+~P23(f333(f333(f247(x83211),x83213),x83215))+~P23(f333(f333(f247(x83211),f2(x83211)),x83212))+~P23(f333(f333(f248(x83211),x83212),x83214))+~P23(f333(f333(f248(x83211),f2(x83211)),x83213))+P23(f333(f333(f248(x83211),f333(f333(f80(x83211),x83212),x83213)),f333(f333(f80(x83211),x83214),x83215))) % 183.16/183.19 [8322]~P61(x83221)+~P23(f333(f333(f247(x83221),x83222),x83224))+~P23(f333(f333(f248(x83221),x83225),x83223))+~P23(f333(f333(f248(x83221),f2(x83221)),x83225))+~P23(f333(f333(f248(x83221),f2(x83221)),x83222))+P23(f333(f333(f248(x83221),f333(f333(f291(x83221),x83222),x83223)),f333(f333(f291(x83221),x83224),x83225))) % 183.16/183.19 [8323]~P61(x83231)+~P23(f333(f333(f247(x83231),x83235),x83233))+~P23(f333(f333(f247(x83231),f2(x83231)),x83232))+~P23(f333(f333(f248(x83231),x83232),x83234))+~P23(f333(f333(f248(x83231),f2(x83231)),x83235))+P23(f333(f333(f248(x83231),f333(f333(f291(x83231),x83232),x83233)),f333(f333(f291(x83231),x83234),x83235))) % 183.16/183.19 [8324]~P132(x83241)+~P23(f333(f333(f247(x83241),x83243),x83245))+~P23(f333(f333(f247(x83241),x83242),x83244))+~P23(f333(f333(f247(x83241),f2(x83241)),x83243))+~P23(f333(f333(f247(x83241),f2(x83241)),x83244))+P23(f333(f333(f247(x83241),f333(f333(f80(x83241),x83242),x83243)),f333(f333(f80(x83241),x83244),x83245))) % 183.16/183.19 [8325]~P132(x83251)+~P23(f333(f333(f247(x83251),x83253),x83255))+~P23(f333(f333(f247(x83251),x83252),x83254))+~P23(f333(f333(f247(x83251),f2(x83251)),x83253))+~P23(f333(f333(f247(x83251),f2(x83251)),x83252))+P23(f333(f333(f247(x83251),f333(f333(f80(x83251),x83252),x83253)),f333(f333(f80(x83251),x83254),x83255))) % 183.16/183.19 [8326]~P61(x83261)+~P23(f333(f333(f248(x83261),f2(x83261)),x83265))+~P23(f333(f333(f247(x83261),x83265),x83263))+~P23(f333(f333(f247(x83261),x83262),x83264))+~P23(f333(f333(f247(x83261),f2(x83261)),x83262))+P23(f333(f333(f247(x83261),f333(f333(f291(x83261),x83262),x83263)),f333(f333(f291(x83261),x83264),x83265))) % 183.16/183.19 [9695]~P66(x96955)+~P79(x96955)+E(x96951,f196(f882(x96952,a870)))+~P23(f333(f61(x96952),x96951))+P23(f333(f333(f335(x96952),f460(x96953,x96954,x96951,x96952,x96955)),x96951))+P23(f333(f333(f248(x96955),f333(f333(f6(x96952,x96955),x96954),x96951)),f333(f333(f6(x96952,x96955),x96953),x96951))) % 183.16/183.19 [9813]~P66(x98131)+~P81(x98131)+~P23(f333(f61(x98132),x98135))+~P23(f333(f333(f247(x98131),f2(x98131)),f333(x98133,f379(x98133,x98134,x98135,x98132,x98131))))+P23(f333(f333(f247(x98131),f333(f333(f6(x98132,x98131),x98133),x98134)),f333(f333(f6(x98132,x98131),x98133),x98135)))+~P23(f333(f333(f247(f882(x98132,a870)),x98134),x98135)) % 183.16/183.19 [9981]~P66(x99813)+~P79(x99813)+E(x99811,f196(f882(x99812,a870)))+~P23(f333(f61(x99812),x99811))+~P23(f333(f333(f248(x99813),f333(x99814,f460(x99815,x99814,x99811,x99812,x99813))),f333(x99815,f460(x99815,x99814,x99811,x99812,x99813))))+P23(f333(f333(f248(x99813),f333(f333(f6(x99812,x99813),x99814),x99811)),f333(f333(f6(x99812,x99813),x99815),x99811))) % 183.16/183.19 [7035]~P12(x70352,x70355,x70354)+E(x70351,f196(f882(x70352,a870)))+E(x70353,f196(f882(x70352,a870)))+~P23(f333(f61(x70352),x70351))+~P23(f333(f61(x70352),x70353))+E(f333(x70354,f333(f333(f113(f882(x70352,a870)),x70353),x70351)),f333(f333(x70355,f333(x70354,x70353)),f333(x70354,x70351))) % 183.16/183.19 [7620]~P144(x76201,x76204,x76203)+P23(f333(x76201,x76202))+~P23(f333(f333(f248(a1),x76204),f2(a1)))+~P23(f333(f333(f247(a1),x76205),f2(a1)))+~E(x76203,f333(f333(f79(a1),f333(f333(f80(a1),x76204),x76202)),x76205))+~P23(f333(f333(f248(a1),x76204),x76205)) % 183.16/183.19 [7621]~P143(x76211,x76214,x76213)+P23(f333(x76211,x76212))+~P23(f333(f333(f248(a1),x76214),f2(a1)))+~P23(f333(f333(f247(a1),x76212),f2(a1)))+~E(x76213,f333(f333(f79(a1),f333(f333(f80(a1),x76214),x76215)),x76212))+~P23(f333(f333(f248(a1),x76214),x76212)) % 183.16/183.19 [7663]~P144(x76631,x76634,x76633)+P23(f333(x76631,x76632))+~E(x76633,f333(f333(f79(a1),f333(f333(f80(a1),x76634),x76632)),x76635))+~P23(f333(f333(f248(a1),f2(a1)),x76634))+~P23(f333(f333(f247(a1),f2(a1)),x76635))+~P23(f333(f333(f248(a1),x76635),x76634)) % 183.16/183.19 [7664]~P143(x76641,x76644,x76643)+P23(f333(x76641,x76642))+~E(x76643,f333(f333(f79(a1),f333(f333(f80(a1),x76644),x76645)),x76642))+~P23(f333(f333(f248(a1),f2(a1)),x76644))+~P23(f333(f333(f247(a1),f2(a1)),x76642))+~P23(f333(f333(f248(a1),x76642),x76644)) % 183.16/183.19 [8614]P23(f333(f333(x86141,x86142),x86143))+~P23(f333(f333(x86141,f333(f333(f38(a1),x86144),x86145)),f44(a1,x86144,x86145)))+~P23(f333(f333(f248(a1),x86145),f2(a1)))+~P23(f333(f333(f247(a1),x86143),f2(a1)))+~E(x86144,f333(f333(f79(a1),f333(f333(f80(a1),x86145),x86142)),x86143))+~P23(f333(f333(f248(a1),x86145),x86143)) % 183.16/183.19 [8623]P23(f333(f333(x86231,x86232),x86233))+~P23(f333(f333(x86231,f333(f333(f38(a1),x86234),x86235)),f44(a1,x86234,x86235)))+~E(x86234,f333(f333(f79(a1),f333(f333(f80(a1),x86235),x86232)),x86233))+~P23(f333(f333(f248(a1),f2(a1)),x86235))+~P23(f333(f333(f247(a1),f2(a1)),x86233))+~P23(f333(f333(f248(a1),x86233),x86235)) % 183.16/183.19 [8858]E(x88581,x88582)+~P50(x88583,x88585,x88584)+~P23(f333(f333(f335(x88583),x88582),x88585))+~P23(f333(f333(f335(x88583),x88581),x88585))+P23(f333(f333(f335(f881(x88583,x88583)),f333(f333(f268(x88583,x88583),x88581),x88582)),x88584))+P23(f333(f333(f335(f881(x88583,x88583)),f333(f333(f268(x88583,x88583),x88582),x88581)),x88584)) % 183.16/183.19 [9722]~P66(x97225)+~P81(x97225)+~P23(f333(f61(x97221),x97224))+P23(f333(f333(f247(x97225),f333(f333(f6(x97221,x97225),x97222),x97223)),f333(f333(f6(x97221,x97225),x97222),x97224)))+~P23(f333(f333(f247(f882(x97221,a870)),x97223),x97224))+P23(f333(f333(f335(x97221),f379(x97222,x97223,x97224,x97221,x97225)),f333(f333(f22(f882(x97221,a870)),x97224),x97223))) % 183.16/183.19 [9821]E(x98211,f196(f882(x98212,a870)))+~P23(f333(f61(x98212),x98213))+~P23(f333(f61(x98212),x98211))+P23(f333(f333(f335(f881(f882(x98212,a870),f882(x98212,a870))),f333(f333(f268(f882(x98212,a870),f882(x98212,a870)),x98213),x98211)),f325(x98212,x98214)))+~P23(f333(f333(f335(x98212),x98215),x98211))+~P23(f333(f333(f335(f881(x98212,x98212)),f333(f333(f268(x98212,x98212),f568(x98214,x98211,x98213,x98212)),x98215)),x98214)) % 183.16/183.19 [9822]E(x98221,f196(f882(x98222,a870)))+~P23(f333(f61(x98222),x98223))+~P23(f333(f61(x98222),x98221))+P23(f333(f333(f335(f881(f882(x98222,a870),f882(x98222,a870))),f333(f333(f268(f882(x98222,a870),f882(x98222,a870)),x98223),x98221)),f325(x98222,x98224)))+~P23(f333(f333(f335(x98222),x98225),x98221))+~P23(f333(f333(f335(f881(x98222,x98222)),f333(f333(f268(x98222,x98222),f621(x98224,x98221,x98223,x98222)),x98225)),x98224)) % 183.16/183.19 [9985]~P82(x99851)+~E(f333(f333(f6(x99855,x99851),x99852),x99856),x99854)+~P23(f333(f61(x99855),x99856))+P23(f333(f333(f335(x99855),f400(x99853,x99854,x99852,x99856,x99855,x99851)),x99856))+P23(f333(f333(f247(x99851),f333(x99852,x99853)),x99854))+~P23(f333(f333(f335(x99855),x99853),x99856)) % 183.16/183.19 [10032]~P82(x100321)+~E(f333(f333(f6(x100325,x100321),x100322),x100326),x100324)+~P23(f333(f61(x100325),x100326))+~P23(f333(f333(f335(x100325),x100323),x100326))+~P23(f333(f333(f247(x100321),f2(x100321)),f333(x100322,f400(x100323,x100324,x100322,x100326,x100325,x100321))))+P23(f333(f333(f247(x100321),f333(x100322,x100323)),x100324)) % 183.16/183.19 [10145]~E(x101455,x101458)+~E(x101454,x101457)+~P66(x101452)+~P107(x101451)+E(f333(f333(f6(x101451,x101452),x101453),f333(f303(x101451,x101454),x101455)),f333(f333(f6(x101451,x101452),x101456),f333(f303(x101451,x101457),x101458)))+P23(f333(f333(f247(x101451),x101454),f624(x101453,x101456,x101455,x101458,x101454,x101457,x101451,x101452))) % 183.16/183.19 [10162]~E(x101627,x101624)+~E(x101628,x101625)+~P66(x101622)+~P107(x101621)+~E(f333(x101623,f624(x101626,x101623,x101628,x101625,x101627,x101624,x101621,x101622)),f333(x101626,f624(x101626,x101623,x101628,x101625,x101627,x101624,x101621,x101622)))+E(f333(f333(f6(x101621,x101622),x101623),f333(f303(x101621,x101624),x101625)),f333(f333(f6(x101621,x101622),x101626),f333(f303(x101621,x101627),x101628))) % 183.16/183.19 [10164]~E(x101644,x101647)+~E(x101645,x101648)+~P66(x101642)+~P107(x101641)+E(f333(f333(f6(x101641,x101642),x101643),f333(f303(x101641,x101644),x101645)),f333(f333(f6(x101641,x101642),x101646),f333(f303(x101641,x101647),x101648)))+P23(f333(f333(f248(x101641),f624(x101643,x101646,x101645,x101648,x101644,x101647,x101641,x101642)),x101645)) % 183.16/183.19 [9827]~P3(x98275,x98279,x98276)+~P3(x98271,x982710,x98273)+~P9(x98271,x98275,f882(x98272,a870),x98273,x98276,x98278)+~P23(f333(f333(f335(x98275),x98277),x98279))+~P23(f333(f333(f335(x98271),x98274),x982710))+E(f333(f333(f41(x98271,f882(x98272,a870)),f333(f287(x98271,x98271,x98273),f333(f333(f311(x98271),x98274),f196(f882(x98271,a870))))),f333(f333(f8(f882(x98275,f882(x98272,a870)),f882(x98272,a870),x98271),f333(f41(x98275,f882(x98272,a870)),f333(f287(x98275,x98275,x98276),f333(f333(f311(x98275),x98277),f196(f882(x98275,a870)))))),x98278)),f333(f333(x98278,x98274),x98277)) % 183.16/183.19 [5586]~P106(x55863)+~P28(x55863,x55862)+~P28(x55863,x55861)+E(x55861,x55862)+~E(f333(f174(x55863),x55861),f333(f174(x55863),x55862))+~P23(f333(f138(x55863),x55862))+~P23(f333(f138(x55863),x55861)) % 183.16/183.19 [4931]~P111(x49312)+~P124(x49312)+~P129(x49312)+~P140(x49312)+~E(x49313,f2(x49312))+E(x49311,f2(a875))+E(f333(f333(f258(x49312),x49313),x49311),f2(x49312)) % 183.16/183.19 [9126]E(x91261,f2(a875))+~E(x91262,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x91263)),x91261)),f333(f271(a875,a875),x91263)))+P23(f333(f47(x91262,x91261),x91263))+~P23(f333(f333(f247(a875),f333(f271(a875,a875),x91263)),f2(a875)))+~P23(f333(f333(f247(a875),f2(a875)),f333(f271(a875,a875),x91263)))+~P23(f333(f333(f248(a875),x91261),f333(f271(a875,a875),x91263)))+~P23(f333(f333(f248(a875),f333(f271(a875,a875),x91263)),x91261)) % 183.16/183.19 [9135]~E(f333(f267(a875,a875),x91353),f2(a875))+~E(x91351,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),x91353)),x91352)),f333(f271(a875,a875),x91353)))+P23(f333(f47(x91351,x91352),x91353))+~P23(f333(f333(f247(a875),f333(f271(a875,a875),x91353)),f2(a875)))+~P23(f333(f333(f247(a875),f2(a875)),f333(f271(a875,a875),x91353)))+~P23(f333(f333(f248(a875),x91352),f333(f271(a875,a875),x91353)))+~P23(f333(f333(f248(a875),f333(f271(a875,a875),x91353)),x91352)) % 183.16/183.19 [7983]~P67(x79832)+E(x79831,f196(f882(x79832,a870)))+E(x79833,f196(f882(x79832,a870)))+~P23(f333(f61(x79832),x79831))+~P23(f333(f61(x79832),x79833))+~E(f333(f333(f104(f882(x79832,a870)),x79833),x79831),f196(f882(x79832,a870)))+E(f333(f333(f80(x79832),f333(f63(x79832,f80(x79832)),x79833)),f333(f63(x79832,f80(x79832)),x79831)),f333(f63(x79832,f80(x79832)),f333(f333(f113(f882(x79832,a870)),x79833),x79831))) % 183.16/183.19 [7763]E(x77631,f2(a1))+E(f333(f333(f38(a1),x77632),x77631),x77633)+~P23(f333(f333(f247(a1),x77634),f2(a1)))+~E(x77632,f333(f333(f79(a1),f333(f333(f80(a1),x77631),x77633)),x77634))+~P23(f333(f333(f247(a1),f2(a1)),x77634))+~P23(f333(f333(f248(a1),x77634),x77631))+~P23(f333(f333(f248(a1),x77631),x77634)) % 183.16/183.19 [7772]E(f44(a1,x77722,x77721),x77723)+E(x77721,f2(a1))+~P23(f333(f333(f247(a1),x77723),f2(a1)))+~E(x77722,f333(f333(f79(a1),f333(f333(f80(a1),x77721),x77724)),x77723))+~P23(f333(f333(f247(a1),f2(a1)),x77723))+~P23(f333(f333(f248(a1),x77723),x77721))+~P23(f333(f333(f248(a1),x77721),x77723)) % 183.16/183.19 [7672]~P13(x76722,x76725,x76724)+E(x76721,f196(f882(x76722,a870)))+E(x76723,f196(f882(x76722,a870)))+~P23(f333(f61(x76722),x76721))+~P23(f333(f61(x76722),x76723))+~E(f333(f333(f104(f882(x76722,a870)),x76723),x76721),f196(f882(x76722,a870)))+E(f333(x76724,f333(f333(f113(f882(x76722,a870)),x76723),x76721)),f333(f333(x76725,f333(x76724,x76723)),f333(x76724,x76721))) % 183.16/183.19 [9371]~P20(x93713,x93711,x93715,x93714)+~P20(x93711,x93713,x93716,x93712)+E(f333(f37(x93711),x93712),f333(f37(x93713),x93714))+~P23(f333(f61(x93713),x93714))+~P23(f333(f61(x93711),x93712))+~P23(f333(f333(f247(f882(x93713,a870)),f333(f312(x93711,x93713,x93716),x93712)),x93714))+~P23(f333(f333(f247(f882(x93711,a870)),f333(f312(x93713,x93711,x93715),x93714)),x93712)) % 183.16/183.19 [9315]~P23(f333(f333(f248(a1),f333(f333(f79(a1),f333(f333(f80(a1),x93155),x93151)),x93156)),f2(a1)))+~E(f333(f333(f79(a1),f333(f333(f80(a1),x93153),x93152)),x93154),f333(f333(f79(a1),f333(f333(f80(a1),x93155),x93151)),x93156))+~P23(f333(f333(f248(a1),f2(a1)),x93155))+~P23(f333(f333(f247(a1),f2(a1)),x93156))+~P23(f333(f333(f248(a1),x93154),x93153))+~P23(f333(f333(f247(a1),x93155),x93153))+P23(f333(f333(f247(a1),x93151),x93152)) % 183.16/183.19 [9079]~E(f333(f333(f79(a1),f333(f333(f80(a1),x90793),x90791)),x90794),f333(f333(f79(a1),f333(f333(f80(a1),x90795),x90792)),x90796))+~P23(f333(f333(f248(a1),f2(a1)),x90795))+~P23(f333(f333(f247(a1),f2(a1)),x90794))+~P23(f333(f333(f248(a1),x90796),x90795))+~P23(f333(f333(f247(a1),x90795),x90793))+P23(f333(f333(f247(a1),x90791),x90792))+~P23(f333(f333(f247(a1),f2(a1)),f333(f333(f79(a1),f333(f333(f80(a1),x90795),x90792)),x90796))) % 183.16/183.19 [9256]~P128(x92561)+~E(f333(f333(f79(x92561),x92562),x92564),f77(x92561))+~P23(f333(f333(f247(x92561),f2(x92561)),x92564))+~P23(f333(f333(f247(x92561),f2(x92561)),x92562))+~P23(f333(f333(f248(x92561),x92565),x92566))+~P23(f333(f333(f248(x92561),x92563),x92566))+P23(f333(f333(f248(x92561),f333(f333(f79(x92561),f333(f333(f80(x92561),x92562),x92563)),f333(f333(f80(x92561),x92564),x92565))),x92566)) % 183.16/183.19 [9257]~P127(x92571)+~E(f333(f333(f79(x92571),x92572),x92574),f77(x92571))+~P23(f333(f333(f247(x92571),x92575),x92576))+~P23(f333(f333(f247(x92571),x92573),x92576))+~P23(f333(f333(f247(x92571),f2(x92571)),x92574))+~P23(f333(f333(f247(x92571),f2(x92571)),x92572))+P23(f333(f333(f247(x92571),f333(f333(f79(x92571),f333(f333(f80(x92571),x92572),x92573)),f333(f333(f80(x92571),x92574),x92575))),x92576)) % 183.16/183.19 [10078]~P3(x100787,x100786,x100785)+E(x100781,x100782)+~P8(x100787,f882(x100784,a870),x100785,x100783)+E(f333(x100783,f543(x100781,x100782,x100783,x100784,x100785,x100786,x100787)),f333(x100783,f542(x100781,x100782,x100783,x100784,x100785,x100786,x100787)))+~E(f333(f333(f41(x100787,f882(x100784,a870)),x100781),x100783),f333(f333(f41(x100787,f882(x100784,a870)),x100782),x100783))+~P23(f333(f333(f335(f882(x100787,a870)),x100782),f333(f333(f60(x100787),x100786),x100785)))+~P23(f333(f333(f335(f882(x100787,a870)),x100781),f333(f333(f60(x100787),x100786),x100785))) % 183.16/183.19 [10112]~P3(x101123,x101127,x101126)+E(x101121,x101122)+~P8(x101123,f882(x101125,a870),x101126,x101124)+~E(f333(f333(f41(x101123,f882(x101125,a870)),x101121),x101124),f333(f333(f41(x101123,f882(x101125,a870)),x101122),x101124))+P23(f333(f333(f335(x101123),f542(x101121,x101122,x101124,x101125,x101126,x101127,x101123)),x101127))+~P23(f333(f333(f335(f882(x101123,a870)),x101122),f333(f333(f60(x101123),x101127),x101126)))+~P23(f333(f333(f335(f882(x101123,a870)),x101121),f333(f333(f60(x101123),x101127),x101126))) % 183.16/183.19 [10113]~P3(x101133,x101137,x101136)+E(x101131,x101132)+~P8(x101133,f882(x101135,a870),x101136,x101134)+~E(f333(f333(f41(x101133,f882(x101135,a870)),x101131),x101134),f333(f333(f41(x101133,f882(x101135,a870)),x101132),x101134))+P23(f333(f333(f335(x101133),f543(x101131,x101132,x101134,x101135,x101136,x101137,x101133)),x101137))+~P23(f333(f333(f335(f882(x101133,a870)),x101132),f333(f333(f60(x101133),x101137),x101136)))+~P23(f333(f333(f335(f882(x101133,a870)),x101131),f333(f333(f60(x101133),x101137),x101136))) % 183.16/183.19 [10181]E(x101811,x101812)+~P3(x101813,x101816,x101817)+~P8(x101813,f882(x101814,a870),x101817,x101815)+~E(f333(f333(f41(x101813,f882(x101814,a870)),x101811),x101815),f333(f333(f41(x101813,f882(x101814,a870)),x101812),x101815))+~P23(f333(f333(f335(f881(x101813,x101813)),f333(f333(f268(x101813,x101813),f542(x101811,x101812,x101815,x101814,x101817,x101816,x101813)),f543(x101811,x101812,x101815,x101814,x101817,x101816,x101813))),x101817))+~P23(f333(f333(f335(f882(x101813,a870)),x101812),f333(f333(f60(x101813),x101816),x101817)))+~P23(f333(f333(f335(f882(x101813,a870)),x101811),f333(f333(f60(x101813),x101816),x101817))) % 183.16/183.19 [9078]~P3(x90781,x90787,x90784)+~E(x90785,x90786)+~P23(f333(f333(f335(x90781),x90783),x90786))+~P23(f333(f333(f335(x90781),x90782),x90785))+~P23(f333(f333(f335(f882(x90781,a870)),x90786),f333(f333(f60(x90781),x90787),x90784)))+~P23(f333(f333(f335(f882(x90781,a870)),x90785),f333(f333(f60(x90781),x90787),x90784)))+P23(f333(f333(f335(f881(x90781,x90781)),f333(f333(f268(x90781,x90781),x90782),x90783)),x90784)) % 183.16/183.19 [9213]E(x92131,x92132)+~P3(x92133,x92134,x92135)+~P23(f333(f333(f335(x92133),x92136),x92132))+~P23(f333(f333(f335(x92133),x92137),x92131))+~P23(f333(f333(f335(f882(x92133,a870)),x92132),f333(f333(f60(x92133),x92134),x92135)))+~P23(f333(f333(f335(f882(x92133,a870)),x92131),f333(f333(f60(x92133),x92134),x92135)))+~P23(f333(f333(f335(f881(x92133,x92133)),f333(f333(f268(x92133,x92133),x92137),x92136)),x92135)) % 183.16/183.19 [10204]~P3(x102049,x102048,x102047)+~P3(x102041,x1020411,x1020410)+~P9(x102041,x102049,f882(x102046,a870),x1020410,x102047,x102045)+P23(f333(f333(f335(x102041),f534(x102042,x102043,x102044,x102045,x102046,x102047,x102048,x102049,x1020410,x1020411,x102041)),x1020411))+~P23(f333(f333(f335(f882(x102049,a870)),x102043),f333(f333(f60(x102049),x102048),x102047)))+~P23(f333(f333(f335(f882(x102041,a870)),x102044),f333(f333(f60(x102041),x1020411),x1020410)))+P23(f333(f333(f335(f882(x102046,a870)),f333(f333(f41(x102041,f882(x102046,a870)),x102044),f333(f333(f8(f882(x102049,f882(x102046,a870)),f882(x102046,a870),x102041),f333(f41(x102049,f882(x102046,a870)),x102043)),x102045))),x102042)) % 183.16/183.19 [10205]~P3(x1020511,x1020510,x102059)+~P3(x102051,x102058,x102057)+~P9(x1020511,x102051,f882(x102056,a870),x102059,x102057,x102055)+P23(f333(f333(f335(x102051),f535(x102052,x102053,x102054,x102055,x102056,x102057,x102058,x102051,x102059,x1020510,x1020511)),x102058))+~P23(f333(f333(f335(f882(x1020511,a870)),x102054),f333(f333(f60(x1020511),x1020510),x102059)))+~P23(f333(f333(f335(f882(x102051,a870)),x102053),f333(f333(f60(x102051),x102058),x102057)))+P23(f333(f333(f335(f882(x102056,a870)),f333(f333(f41(x1020511,f882(x102056,a870)),x102054),f333(f333(f8(f882(x102051,f882(x102056,a870)),f882(x102056,a870),x1020511),f333(f41(x102051,f882(x102056,a870)),x102053)),x102055))),x102052)) % 183.16/183.19 [10208]~P3(x102082,x102088,x102089)+~P3(x102084,x1020810,x1020811)+~P9(x102082,x102084,f882(x102081,a870),x102089,x1020811,x102086)+~P23(f333(f333(f335(f882(x102082,a870)),x102083),f333(f333(f60(x102082),x102088),x102089)))+~P23(f333(f333(f335(f882(x102084,a870)),x102085),f333(f333(f60(x102084),x1020810),x1020811)))+~P23(f333(f333(f335(f882(x102081,a870)),f333(f333(x102086,f534(x102087,x102085,x102083,x102086,x102081,x1020811,x1020810,x102084,x102089,x102088,x102082)),f535(x102087,x102085,x102083,x102086,x102081,x1020811,x1020810,x102084,x102089,x102088,x102082))),x102087))+P23(f333(f333(f335(f882(x102081,a870)),f333(f333(f41(x102082,f882(x102081,a870)),x102083),f333(f333(f8(f882(x102084,f882(x102081,a870)),f882(x102081,a870),x102082),f333(f41(x102084,f882(x102081,a870)),x102085)),x102086))),x102087)) % 183.16/183.19 [9113]E(x91131,x91132)+~P106(x91134)+~P20(x91133,x91134,x91135,f333(f333(f113(f882(x91133,a870)),f333(f174(x91133),x91131)),f333(f174(x91133),x91132)))+~E(f333(f174(x91133),x91131),f333(f174(x91133),x91132))+~P28(x91134,f333(f333(f155(x91133,x91134),x91135),x91132))+~P28(x91134,f333(f333(f155(x91133,x91134),x91135),x91131))+~P23(f333(f138(x91134),f333(f333(f155(x91133,x91134),x91135),x91132)))+~P23(f333(f138(x91134),f333(f333(f155(x91133,x91134),x91135),x91131))) % 183.16/183.19 %EqnAxiom % 183.16/183.19 [1]E(x11,x11) % 183.16/183.19 [2]E(x22,x21)+~E(x21,x22) % 183.16/183.19 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 183.16/183.19 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 183.16/183.19 [5]~E(x51,x52)+E(f103(x51),f103(x52)) % 183.16/183.19 [6]~E(x61,x62)+E(f22(x61),f22(x62)) % 183.16/183.19 [7]~E(x71,x72)+E(f196(x71),f196(x72)) % 183.16/183.19 [8]~E(x81,x82)+E(f333(x81,x83),f333(x82,x83)) % 183.16/183.19 [9]~E(x91,x92)+E(f333(x93,x91),f333(x93,x92)) % 183.16/183.19 [10]~E(x101,x102)+E(f30(x101),f30(x102)) % 183.16/183.19 [11]~E(x111,x112)+E(f7(x111,x113,x114),f7(x112,x113,x114)) % 183.16/183.19 [12]~E(x121,x122)+E(f7(x123,x121,x124),f7(x123,x122,x124)) % 183.16/183.19 [13]~E(x131,x132)+E(f7(x133,x134,x131),f7(x133,x134,x132)) % 183.16/183.19 [14]~E(x141,x142)+E(f104(x141),f104(x142)) % 183.16/183.19 [15]~E(x151,x152)+E(f245(x151),f245(x152)) % 183.16/183.19 [16]~E(x161,x162)+E(f113(x161),f113(x162)) % 183.16/183.19 [17]~E(x171,x172)+E(f246(x171),f246(x172)) % 183.16/183.19 [18]~E(x181,x182)+E(f105(x181),f105(x182)) % 183.16/183.19 [19]~E(x191,x192)+E(f33(x191),f33(x192)) % 183.16/183.19 [20]~E(x201,x202)+E(f83(x201),f83(x202)) % 183.16/183.19 [21]~E(x211,x212)+E(f876(x211),f876(x212)) % 183.16/183.19 [22]~E(x221,x222)+E(f31(x221,x223),f31(x222,x223)) % 183.16/183.19 [23]~E(x231,x232)+E(f31(x233,x231),f31(x233,x232)) % 183.16/183.19 [24]~E(x241,x242)+E(f535(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f535(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 183.16/183.19 [25]~E(x251,x252)+E(f535(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f535(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 183.16/183.19 [26]~E(x261,x262)+E(f535(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f535(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612)) % 183.16/183.19 [27]~E(x271,x272)+E(f535(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f535(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712)) % 183.16/183.19 [28]~E(x281,x282)+E(f535(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f535(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812)) % 183.16/183.19 [29]~E(x291,x292)+E(f535(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f535(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912)) % 183.16/183.19 [30]~E(x301,x302)+E(f535(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f535(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012)) % 183.16/183.19 [31]~E(x311,x312)+E(f535(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f535(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112)) % 183.16/183.19 [32]~E(x321,x322)+E(f535(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f535(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212)) % 183.16/183.19 [33]~E(x331,x332)+E(f535(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f535(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312)) % 183.16/183.19 [34]~E(x341,x342)+E(f535(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f535(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342)) % 183.16/183.19 [35]~E(x351,x352)+E(f77(x351),f77(x352)) % 183.16/183.19 [36]~E(x361,x362)+E(f202(x361),f202(x362)) % 183.16/183.19 [37]~E(x371,x372)+E(f534(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f534(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 183.16/183.19 [38]~E(x381,x382)+E(f534(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f534(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 183.16/183.19 [39]~E(x391,x392)+E(f534(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f534(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 183.16/183.19 [40]~E(x401,x402)+E(f534(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f534(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012)) % 183.16/183.19 [41]~E(x411,x412)+E(f534(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f534(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112)) % 183.16/183.19 [42]~E(x421,x422)+E(f534(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f534(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212)) % 183.16/183.19 [43]~E(x431,x432)+E(f534(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f534(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312)) % 183.16/183.19 [44]~E(x441,x442)+E(f534(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f534(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412)) % 183.16/183.19 [45]~E(x451,x452)+E(f534(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f534(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512)) % 183.16/183.19 [46]~E(x461,x462)+E(f534(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f534(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612)) % 183.16/183.19 [47]~E(x471,x472)+E(f534(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f534(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472)) % 183.16/183.19 [48]~E(x481,x482)+E(f4(x481),f4(x482)) % 183.16/183.19 [49]~E(x491,x492)+E(f335(x491),f335(x492)) % 183.16/183.19 [50]~E(x501,x502)+E(f882(x501,x503),f882(x502,x503)) % 183.16/183.19 [51]~E(x511,x512)+E(f882(x513,x511),f882(x513,x512)) % 183.16/183.19 [52]~E(x521,x522)+E(f114(x521),f114(x522)) % 183.16/183.19 [53]~E(x531,x532)+E(f248(x531),f248(x532)) % 183.16/183.19 [54]~E(x541,x542)+E(f874(x541),f874(x542)) % 183.16/183.19 [55]~E(x551,x552)+E(f879(x551),f879(x552)) % 183.16/183.19 [56]~E(x561,x562)+E(f304(x561,x563,x564),f304(x562,x563,x564)) % 183.16/183.19 [57]~E(x571,x572)+E(f304(x573,x571,x574),f304(x573,x572,x574)) % 183.16/183.19 [58]~E(x581,x582)+E(f304(x583,x584,x581),f304(x583,x584,x582)) % 183.16/183.19 [59]~E(x591,x592)+E(f877(x591),f877(x592)) % 183.16/183.19 [60]~E(x601,x602)+E(f508(x601,x603,x604),f508(x602,x603,x604)) % 183.16/183.19 [61]~E(x611,x612)+E(f508(x613,x611,x614),f508(x613,x612,x614)) % 183.16/183.19 [62]~E(x621,x622)+E(f508(x623,x624,x621),f508(x623,x624,x622)) % 183.16/183.19 [63]~E(x631,x632)+E(f80(x631),f80(x632)) % 183.16/183.19 [64]~E(x641,x642)+E(f287(x641,x643,x644),f287(x642,x643,x644)) % 183.16/183.19 [65]~E(x651,x652)+E(f287(x653,x651,x654),f287(x653,x652,x654)) % 183.16/183.19 [66]~E(x661,x662)+E(f287(x663,x664,x661),f287(x663,x664,x662)) % 183.16/183.19 [67]~E(x671,x672)+E(f311(x671),f311(x672)) % 183.16/183.19 [68]~E(x681,x682)+E(f78(x681),f78(x682)) % 183.16/183.19 [69]~E(x691,x692)+E(f61(x691),f61(x692)) % 183.16/183.19 [70]~E(x701,x702)+E(f197(x701),f197(x702)) % 183.16/183.19 [71]~E(x711,x712)+E(f184(x711,x713),f184(x712,x713)) % 183.16/183.19 [72]~E(x721,x722)+E(f184(x723,x721),f184(x723,x722)) % 183.16/183.19 [73]~E(x731,x732)+E(f106(x731),f106(x732)) % 183.16/183.19 [74]~E(x741,x742)+E(f16(x741,x743),f16(x742,x743)) % 183.16/183.19 [75]~E(x751,x752)+E(f16(x753,x751),f16(x753,x752)) % 183.16/183.19 [76]~E(x761,x762)+E(f247(x761),f247(x762)) % 183.16/183.19 [77]~E(x771,x772)+E(f166(x771),f166(x772)) % 183.16/183.19 [78]~E(x781,x782)+E(f313(x781,x783,x784),f313(x782,x783,x784)) % 183.16/183.19 [79]~E(x791,x792)+E(f313(x793,x791,x794),f313(x793,x792,x794)) % 183.16/183.19 [80]~E(x801,x802)+E(f313(x803,x804,x801),f313(x803,x804,x802)) % 183.16/183.19 [81]~E(x811,x812)+E(f57(x811),f57(x812)) % 183.16/183.19 [82]~E(x821,x822)+E(f309(x821,x823),f309(x822,x823)) % 183.16/183.19 [83]~E(x831,x832)+E(f309(x833,x831),f309(x833,x832)) % 183.16/183.19 [84]~E(x841,x842)+E(f63(x841,x843),f63(x842,x843)) % 183.16/183.19 [85]~E(x851,x852)+E(f63(x853,x851),f63(x853,x852)) % 183.16/183.19 [86]~E(x861,x862)+E(f48(x861,x863),f48(x862,x863)) % 183.16/183.19 [87]~E(x871,x872)+E(f48(x873,x871),f48(x873,x872)) % 183.16/183.19 [88]~E(x881,x882)+E(f881(x881,x883),f881(x882,x883)) % 183.16/183.19 [89]~E(x891,x892)+E(f881(x893,x891),f881(x893,x892)) % 183.16/183.19 [90]~E(x901,x902)+E(f291(x901),f291(x902)) % 183.16/183.19 [91]~E(x911,x912)+E(f116(x911),f116(x912)) % 183.16/183.19 [92]~E(x921,x922)+E(f135(x921),f135(x922)) % 183.16/183.19 [93]~E(x931,x932)+E(f60(x931),f60(x932)) % 183.16/183.19 [94]~E(x941,x942)+E(f8(x941,x943,x944),f8(x942,x943,x944)) % 183.16/183.19 [95]~E(x951,x952)+E(f8(x953,x951,x954),f8(x953,x952,x954)) % 183.16/183.19 [96]~E(x961,x962)+E(f8(x963,x964,x961),f8(x963,x964,x962)) % 183.16/183.19 [97]~E(x971,x972)+E(f155(x971,x973),f155(x972,x973)) % 183.16/183.19 [98]~E(x981,x982)+E(f155(x983,x981),f155(x983,x982)) % 183.16/183.19 [99]~E(x991,x992)+E(f15(x991,x993),f15(x992,x993)) % 183.16/183.19 [100]~E(x1001,x1002)+E(f15(x1003,x1001),f15(x1003,x1002)) % 183.16/183.19 [101]~E(x1011,x1012)+E(f268(x1011,x1013),f268(x1012,x1013)) % 183.16/183.19 [102]~E(x1021,x1022)+E(f268(x1023,x1021),f268(x1023,x1022)) % 183.16/183.19 [103]~E(x1031,x1032)+E(f271(x1031,x1033),f271(x1032,x1033)) % 183.16/183.19 [104]~E(x1041,x1042)+E(f271(x1043,x1041),f271(x1043,x1042)) % 183.16/183.19 [105]~E(x1051,x1052)+E(f79(x1051),f79(x1052)) % 183.16/183.19 [106]~E(x1061,x1062)+E(f74(x1061),f74(x1062)) % 183.16/183.19 [107]~E(x1071,x1072)+E(f170(x1071),f170(x1072)) % 183.16/183.19 [108]~E(x1081,x1082)+E(f152(x1081),f152(x1082)) % 183.16/183.19 [109]~E(x1091,x1092)+E(f290(x1091,x1093,x1094),f290(x1092,x1093,x1094)) % 183.16/183.19 [110]~E(x1101,x1102)+E(f290(x1103,x1101,x1104),f290(x1103,x1102,x1104)) % 183.16/183.19 [111]~E(x1111,x1112)+E(f290(x1113,x1114,x1111),f290(x1113,x1114,x1112)) % 183.16/183.19 [112]~E(x1121,x1122)+E(f342(x1121,x1123,x1124),f342(x1122,x1123,x1124)) % 183.16/183.19 [113]~E(x1131,x1132)+E(f342(x1133,x1131,x1134),f342(x1133,x1132,x1134)) % 183.16/183.19 [114]~E(x1141,x1142)+E(f342(x1143,x1144,x1141),f342(x1143,x1144,x1142)) % 183.16/183.19 [115]~E(x1151,x1152)+E(f143(x1151,x1153,x1154,x1155),f143(x1152,x1153,x1154,x1155)) % 183.16/183.19 [116]~E(x1161,x1162)+E(f143(x1163,x1161,x1164,x1165),f143(x1163,x1162,x1164,x1165)) % 183.16/183.19 [117]~E(x1171,x1172)+E(f143(x1173,x1174,x1171,x1175),f143(x1173,x1174,x1172,x1175)) % 183.16/183.19 [118]~E(x1181,x1182)+E(f143(x1183,x1184,x1185,x1181),f143(x1183,x1184,x1185,x1182)) % 183.16/183.19 [119]~E(x1191,x1192)+E(f6(x1191,x1193),f6(x1192,x1193)) % 183.16/183.19 [120]~E(x1201,x1202)+E(f6(x1203,x1201),f6(x1203,x1202)) % 183.16/183.19 [121]~E(x1211,x1212)+E(f138(x1211),f138(x1212)) % 183.16/183.19 [122]~E(x1221,x1222)+E(f37(x1221),f37(x1222)) % 183.16/183.19 [123]~E(x1231,x1232)+E(f817(x1231,x1233,x1234),f817(x1232,x1233,x1234)) % 183.16/183.19 [124]~E(x1241,x1242)+E(f817(x1243,x1241,x1244),f817(x1243,x1242,x1244)) % 183.16/183.19 [125]~E(x1251,x1252)+E(f817(x1253,x1254,x1251),f817(x1253,x1254,x1252)) % 183.16/183.19 [126]~E(x1261,x1262)+E(f732(x1261,x1263,x1264,x1265),f732(x1262,x1263,x1264,x1265)) % 183.16/183.19 [127]~E(x1271,x1272)+E(f732(x1273,x1271,x1274,x1275),f732(x1273,x1272,x1274,x1275)) % 183.16/183.19 [128]~E(x1281,x1282)+E(f732(x1283,x1284,x1281,x1285),f732(x1283,x1284,x1282,x1285)) % 183.16/183.19 [129]~E(x1291,x1292)+E(f732(x1293,x1294,x1295,x1291),f732(x1293,x1294,x1295,x1292)) % 183.16/183.19 [130]~E(x1301,x1302)+E(f174(x1301),f174(x1302)) % 183.16/183.19 [131]~E(x1311,x1312)+E(f41(x1311,x1313),f41(x1312,x1313)) % 183.16/183.19 [132]~E(x1321,x1322)+E(f41(x1323,x1321),f41(x1323,x1322)) % 183.16/183.19 [133]~E(x1331,x1332)+E(f267(x1331,x1333),f267(x1332,x1333)) % 183.16/183.19 [134]~E(x1341,x1342)+E(f267(x1343,x1341),f267(x1343,x1342)) % 183.16/183.19 [135]~E(x1351,x1352)+E(f86(x1351),f86(x1352)) % 183.16/183.19 [136]~E(x1361,x1362)+E(f253(x1361),f253(x1362)) % 183.16/183.19 [137]~E(x1371,x1372)+E(f179(x1371,x1373,x1374),f179(x1372,x1373,x1374)) % 183.16/183.19 [138]~E(x1381,x1382)+E(f179(x1383,x1381,x1384),f179(x1383,x1382,x1384)) % 183.16/183.19 [139]~E(x1391,x1392)+E(f179(x1393,x1394,x1391),f179(x1393,x1394,x1392)) % 183.16/183.19 [140]~E(x1401,x1402)+E(f44(x1401,x1403,x1404),f44(x1402,x1403,x1404)) % 183.16/183.19 [141]~E(x1411,x1412)+E(f44(x1413,x1411,x1414),f44(x1413,x1412,x1414)) % 183.16/183.19 [142]~E(x1421,x1422)+E(f44(x1423,x1424,x1421),f44(x1423,x1424,x1422)) % 183.16/183.19 [143]~E(x1431,x1432)+E(f72(x1431,x1433,x1434,x1435),f72(x1432,x1433,x1434,x1435)) % 183.16/183.19 [144]~E(x1441,x1442)+E(f72(x1443,x1441,x1444,x1445),f72(x1443,x1442,x1444,x1445)) % 183.16/183.19 [145]~E(x1451,x1452)+E(f72(x1453,x1454,x1451,x1455),f72(x1453,x1454,x1452,x1455)) % 183.16/183.19 [146]~E(x1461,x1462)+E(f72(x1463,x1464,x1465,x1461),f72(x1463,x1464,x1465,x1462)) % 183.16/183.19 [147]~E(x1471,x1472)+E(f307(x1471,x1473,x1474),f307(x1472,x1473,x1474)) % 183.16/183.19 [148]~E(x1481,x1482)+E(f307(x1483,x1481,x1484),f307(x1483,x1482,x1484)) % 183.16/183.19 [149]~E(x1491,x1492)+E(f307(x1493,x1494,x1491),f307(x1493,x1494,x1492)) % 183.16/183.19 [150]~E(x1501,x1502)+E(f42(x1501,x1503),f42(x1502,x1503)) % 183.16/183.19 [151]~E(x1511,x1512)+E(f42(x1513,x1511),f42(x1513,x1512)) % 183.16/183.19 [152]~E(x1521,x1522)+E(f108(x1521),f108(x1522)) % 183.16/183.19 [153]~E(x1531,x1532)+E(f110(x1531),f110(x1532)) % 183.16/183.19 [154]~E(x1541,x1542)+E(f334(x1541),f334(x1542)) % 183.16/183.19 [155]~E(x1551,x1552)+E(f401(x1551),f401(x1552)) % 183.16/183.19 [156]~E(x1561,x1562)+E(f366(x1561,x1563,x1564),f366(x1562,x1563,x1564)) % 183.16/183.19 [157]~E(x1571,x1572)+E(f366(x1573,x1571,x1574),f366(x1573,x1572,x1574)) % 183.16/183.19 [158]~E(x1581,x1582)+E(f366(x1583,x1584,x1581),f366(x1583,x1584,x1582)) % 183.16/183.19 [159]~E(x1591,x1592)+E(f71(x1591,x1593),f71(x1592,x1593)) % 183.16/183.19 [160]~E(x1601,x1602)+E(f71(x1603,x1601),f71(x1603,x1602)) % 183.16/183.19 [161]~E(x1611,x1612)+E(f697(x1611,x1613,x1614,x1615,x1616),f697(x1612,x1613,x1614,x1615,x1616)) % 183.16/183.19 [162]~E(x1621,x1622)+E(f697(x1623,x1621,x1624,x1625,x1626),f697(x1623,x1622,x1624,x1625,x1626)) % 183.16/183.19 [163]~E(x1631,x1632)+E(f697(x1633,x1634,x1631,x1635,x1636),f697(x1633,x1634,x1632,x1635,x1636)) % 183.16/183.19 [164]~E(x1641,x1642)+E(f697(x1643,x1644,x1645,x1641,x1646),f697(x1643,x1644,x1645,x1642,x1646)) % 183.16/183.19 [165]~E(x1651,x1652)+E(f697(x1653,x1654,x1655,x1656,x1651),f697(x1653,x1654,x1655,x1656,x1652)) % 183.16/183.19 [166]~E(x1661,x1662)+E(f5(x1661),f5(x1662)) % 183.16/183.19 [167]~E(x1671,x1672)+E(f517(x1671,x1673,x1674),f517(x1672,x1673,x1674)) % 183.16/183.19 [168]~E(x1681,x1682)+E(f517(x1683,x1681,x1684),f517(x1683,x1682,x1684)) % 183.16/183.19 [169]~E(x1691,x1692)+E(f517(x1693,x1694,x1691),f517(x1693,x1694,x1692)) % 183.16/183.19 [170]~E(x1701,x1702)+E(f862(x1701,x1703,x1704),f862(x1702,x1703,x1704)) % 183.16/183.19 [171]~E(x1711,x1712)+E(f862(x1713,x1711,x1714),f862(x1713,x1712,x1714)) % 183.16/183.19 [172]~E(x1721,x1722)+E(f862(x1723,x1724,x1721),f862(x1723,x1724,x1722)) % 183.16/183.19 [173]~E(x1731,x1732)+E(f157(x1731,x1733,x1734,x1735),f157(x1732,x1733,x1734,x1735)) % 183.16/183.19 [174]~E(x1741,x1742)+E(f157(x1743,x1741,x1744,x1745),f157(x1743,x1742,x1744,x1745)) % 183.16/183.19 [175]~E(x1751,x1752)+E(f157(x1753,x1754,x1751,x1755),f157(x1753,x1754,x1752,x1755)) % 183.16/183.19 [176]~E(x1761,x1762)+E(f157(x1763,x1764,x1765,x1761),f157(x1763,x1764,x1765,x1762)) % 183.16/183.19 [177]~E(x1771,x1772)+E(f312(x1771,x1773,x1774),f312(x1772,x1773,x1774)) % 183.16/183.19 [178]~E(x1781,x1782)+E(f312(x1783,x1781,x1784),f312(x1783,x1782,x1784)) % 183.16/183.19 [179]~E(x1791,x1792)+E(f312(x1793,x1794,x1791),f312(x1793,x1794,x1792)) % 183.16/183.19 [180]~E(x1801,x1802)+E(f10(x1801,x1803),f10(x1802,x1803)) % 183.16/183.19 [181]~E(x1811,x1812)+E(f10(x1813,x1811),f10(x1813,x1812)) % 183.16/183.19 [182]~E(x1821,x1822)+E(f815(x1821,x1823,x1824),f815(x1822,x1823,x1824)) % 183.16/183.19 [183]~E(x1831,x1832)+E(f815(x1833,x1831,x1834),f815(x1833,x1832,x1834)) % 183.16/183.19 [184]~E(x1841,x1842)+E(f815(x1843,x1844,x1841),f815(x1843,x1844,x1842)) % 183.16/183.19 [185]~E(x1851,x1852)+E(f28(x1851,x1853,x1854),f28(x1852,x1853,x1854)) % 183.16/183.19 [186]~E(x1861,x1862)+E(f28(x1863,x1861,x1864),f28(x1863,x1862,x1864)) % 183.16/183.19 [187]~E(x1871,x1872)+E(f28(x1873,x1874,x1871),f28(x1873,x1874,x1872)) % 183.16/183.19 [188]~E(x1881,x1882)+E(f55(x1881),f55(x1882)) % 183.16/183.19 [189]~E(x1891,x1892)+E(f272(x1891,x1893,x1894),f272(x1892,x1893,x1894)) % 183.16/183.19 [190]~E(x1901,x1902)+E(f272(x1903,x1901,x1904),f272(x1903,x1902,x1904)) % 183.16/183.19 [191]~E(x1911,x1912)+E(f272(x1913,x1914,x1911),f272(x1913,x1914,x1912)) % 183.16/183.19 [192]~E(x1921,x1922)+E(f177(x1921),f177(x1922)) % 183.16/183.19 [193]~E(x1931,x1932)+E(f258(x1931),f258(x1932)) % 183.16/183.19 [194]~E(x1941,x1942)+E(f13(x1941,x1943),f13(x1942,x1943)) % 183.16/183.19 [195]~E(x1951,x1952)+E(f13(x1953,x1951),f13(x1953,x1952)) % 183.16/183.19 [196]~E(x1961,x1962)+E(f310(x1961),f310(x1962)) % 183.16/183.19 [197]~E(x1971,x1972)+E(f787(x1971,x1973,x1974,x1975,x1976),f787(x1972,x1973,x1974,x1975,x1976)) % 183.16/183.19 [198]~E(x1981,x1982)+E(f787(x1983,x1981,x1984,x1985,x1986),f787(x1983,x1982,x1984,x1985,x1986)) % 183.16/183.19 [199]~E(x1991,x1992)+E(f787(x1993,x1994,x1991,x1995,x1996),f787(x1993,x1994,x1992,x1995,x1996)) % 183.16/183.19 [200]~E(x2001,x2002)+E(f787(x2003,x2004,x2005,x2001,x2006),f787(x2003,x2004,x2005,x2002,x2006)) % 183.16/183.19 [201]~E(x2011,x2012)+E(f787(x2013,x2014,x2015,x2016,x2011),f787(x2013,x2014,x2015,x2016,x2012)) % 183.16/183.19 [202]~E(x2021,x2022)+E(f14(x2021,x2023),f14(x2022,x2023)) % 183.16/183.19 [203]~E(x2031,x2032)+E(f14(x2033,x2031),f14(x2033,x2032)) % 183.16/183.19 [204]~E(x2041,x2042)+E(f137(x2041,x2043),f137(x2042,x2043)) % 183.16/183.19 [205]~E(x2051,x2052)+E(f137(x2053,x2051),f137(x2053,x2052)) % 183.16/183.19 [206]~E(x2061,x2062)+E(f117(x2061,x2063),f117(x2062,x2063)) % 183.16/183.19 [207]~E(x2071,x2072)+E(f117(x2073,x2071),f117(x2073,x2072)) % 183.16/183.19 [208]~E(x2081,x2082)+E(f45(x2081,x2083),f45(x2082,x2083)) % 183.16/183.19 [209]~E(x2091,x2092)+E(f45(x2093,x2091),f45(x2093,x2092)) % 183.16/183.19 [210]~E(x2101,x2102)+E(f321(x2101,x2103),f321(x2102,x2103)) % 183.16/183.19 [211]~E(x2111,x2112)+E(f321(x2113,x2111),f321(x2113,x2112)) % 183.16/183.19 [212]~E(x2121,x2122)+E(f273(x2121,x2123,x2124,x2125,x2126,x2127),f273(x2122,x2123,x2124,x2125,x2126,x2127)) % 183.16/183.19 [213]~E(x2131,x2132)+E(f273(x2133,x2131,x2134,x2135,x2136,x2137),f273(x2133,x2132,x2134,x2135,x2136,x2137)) % 183.16/183.19 [214]~E(x2141,x2142)+E(f273(x2143,x2144,x2141,x2145,x2146,x2147),f273(x2143,x2144,x2142,x2145,x2146,x2147)) % 183.16/183.19 [215]~E(x2151,x2152)+E(f273(x2153,x2154,x2155,x2151,x2156,x2157),f273(x2153,x2154,x2155,x2152,x2156,x2157)) % 183.16/183.19 [216]~E(x2161,x2162)+E(f273(x2163,x2164,x2165,x2166,x2161,x2167),f273(x2163,x2164,x2165,x2166,x2162,x2167)) % 183.16/183.19 [217]~E(x2171,x2172)+E(f273(x2173,x2174,x2175,x2176,x2177,x2171),f273(x2173,x2174,x2175,x2176,x2177,x2172)) % 183.16/183.19 [218]~E(x2181,x2182)+E(f338(x2181),f338(x2182)) % 183.16/183.19 [219]~E(x2191,x2192)+E(f279(x2191,x2193),f279(x2192,x2193)) % 183.16/183.19 [220]~E(x2201,x2202)+E(f279(x2203,x2201),f279(x2203,x2202)) % 183.16/183.19 [221]~E(x2211,x2212)+E(f91(x2211),f91(x2212)) % 183.16/183.19 [222]~E(x2221,x2222)+E(f352(x2221,x2223,x2224,x2225,x2226),f352(x2222,x2223,x2224,x2225,x2226)) % 183.16/183.19 [223]~E(x2231,x2232)+E(f352(x2233,x2231,x2234,x2235,x2236),f352(x2233,x2232,x2234,x2235,x2236)) % 183.16/183.19 [224]~E(x2241,x2242)+E(f352(x2243,x2244,x2241,x2245,x2246),f352(x2243,x2244,x2242,x2245,x2246)) % 183.16/183.19 [225]~E(x2251,x2252)+E(f352(x2253,x2254,x2255,x2251,x2256),f352(x2253,x2254,x2255,x2252,x2256)) % 183.16/183.19 [226]~E(x2261,x2262)+E(f352(x2263,x2264,x2265,x2266,x2261),f352(x2263,x2264,x2265,x2266,x2262)) % 183.16/183.19 [227]~E(x2271,x2272)+E(f270(x2271,x2273),f270(x2272,x2273)) % 183.16/183.19 [228]~E(x2281,x2282)+E(f270(x2283,x2281),f270(x2283,x2282)) % 183.16/183.19 [229]~E(x2291,x2292)+E(f39(x2291,x2293),f39(x2292,x2293)) % 183.16/183.19 [230]~E(x2301,x2302)+E(f39(x2303,x2301),f39(x2303,x2302)) % 183.16/183.19 [231]~E(x2311,x2312)+E(f256(x2311),f256(x2312)) % 183.16/183.19 [232]~E(x2321,x2322)+E(f29(x2321,x2323,x2324),f29(x2322,x2323,x2324)) % 183.16/183.19 [233]~E(x2331,x2332)+E(f29(x2333,x2331,x2334),f29(x2333,x2332,x2334)) % 183.16/183.19 [234]~E(x2341,x2342)+E(f29(x2343,x2344,x2341),f29(x2343,x2344,x2342)) % 183.16/183.19 [235]~E(x2351,x2352)+E(f47(x2351,x2353),f47(x2352,x2353)) % 183.16/183.19 [236]~E(x2361,x2362)+E(f47(x2363,x2361),f47(x2363,x2362)) % 183.16/183.19 [237]~E(x2371,x2372)+E(f191(x2371,x2373),f191(x2372,x2373)) % 183.16/183.19 [238]~E(x2381,x2382)+E(f191(x2383,x2381),f191(x2383,x2382)) % 183.16/183.19 [239]~E(x2391,x2392)+E(f602(x2391,x2393,x2394),f602(x2392,x2393,x2394)) % 183.16/183.19 [240]~E(x2401,x2402)+E(f602(x2403,x2401,x2404),f602(x2403,x2402,x2404)) % 183.16/183.19 [241]~E(x2411,x2412)+E(f602(x2413,x2414,x2411),f602(x2413,x2414,x2412)) % 183.16/183.19 [242]~E(x2421,x2422)+E(f809(x2421,x2423,x2424,x2425),f809(x2422,x2423,x2424,x2425)) % 183.16/183.19 [243]~E(x2431,x2432)+E(f809(x2433,x2431,x2434,x2435),f809(x2433,x2432,x2434,x2435)) % 183.16/183.19 [244]~E(x2441,x2442)+E(f809(x2443,x2444,x2441,x2445),f809(x2443,x2444,x2442,x2445)) % 183.16/183.19 [245]~E(x2451,x2452)+E(f809(x2453,x2454,x2455,x2451),f809(x2453,x2454,x2455,x2452)) % 183.16/183.19 [246]~E(x2461,x2462)+E(f52(x2461,x2463),f52(x2462,x2463)) % 183.16/183.19 [247]~E(x2471,x2472)+E(f52(x2473,x2471),f52(x2473,x2472)) % 183.16/183.19 [248]~E(x2481,x2482)+E(f595(x2481,x2483,x2484),f595(x2482,x2483,x2484)) % 183.16/183.19 [249]~E(x2491,x2492)+E(f595(x2493,x2491,x2494),f595(x2493,x2492,x2494)) % 183.16/183.19 [250]~E(x2501,x2502)+E(f595(x2503,x2504,x2501),f595(x2503,x2504,x2502)) % 183.16/183.19 [251]~E(x2511,x2512)+E(f413(x2511,x2513),f413(x2512,x2513)) % 183.16/183.19 [252]~E(x2521,x2522)+E(f413(x2523,x2521),f413(x2523,x2522)) % 183.16/183.19 [253]~E(x2531,x2532)+E(f203(x2531,x2533),f203(x2532,x2533)) % 183.16/183.19 [254]~E(x2541,x2542)+E(f203(x2543,x2541),f203(x2543,x2542)) % 183.16/183.19 [255]~E(x2551,x2552)+E(f49(x2551,x2553),f49(x2552,x2553)) % 183.16/183.19 [256]~E(x2561,x2562)+E(f49(x2563,x2561),f49(x2563,x2562)) % 183.16/183.19 [257]~E(x2571,x2572)+E(f40(x2571,x2573),f40(x2572,x2573)) % 183.16/183.19 [258]~E(x2581,x2582)+E(f40(x2583,x2581),f40(x2583,x2582)) % 183.16/183.19 [259]~E(x2591,x2592)+E(f720(x2591,x2593,x2594),f720(x2592,x2593,x2594)) % 183.16/183.19 [260]~E(x2601,x2602)+E(f720(x2603,x2601,x2604),f720(x2603,x2602,x2604)) % 183.16/183.19 [261]~E(x2611,x2612)+E(f720(x2613,x2614,x2611),f720(x2613,x2614,x2612)) % 183.16/183.19 [262]~E(x2621,x2622)+E(f153(x2621,x2623),f153(x2622,x2623)) % 183.16/183.19 [263]~E(x2631,x2632)+E(f153(x2633,x2631),f153(x2633,x2632)) % 183.16/183.19 [264]~E(x2641,x2642)+E(f148(x2641,x2643),f148(x2642,x2643)) % 183.16/183.19 [265]~E(x2651,x2652)+E(f148(x2653,x2651),f148(x2653,x2652)) % 183.16/183.19 [266]~E(x2661,x2662)+E(f199(x2661),f199(x2662)) % 183.16/183.19 [267]~E(x2671,x2672)+E(f303(x2671,x2673),f303(x2672,x2673)) % 183.16/183.19 [268]~E(x2681,x2682)+E(f303(x2683,x2681),f303(x2683,x2682)) % 183.16/183.19 [269]~E(x2691,x2692)+E(f118(x2691),f118(x2692)) % 183.16/183.19 [270]~E(x2701,x2702)+E(f187(x2701,x2703,x2704,x2705),f187(x2702,x2703,x2704,x2705)) % 183.16/183.19 [271]~E(x2711,x2712)+E(f187(x2713,x2711,x2714,x2715),f187(x2713,x2712,x2714,x2715)) % 183.16/183.19 [272]~E(x2721,x2722)+E(f187(x2723,x2724,x2721,x2725),f187(x2723,x2724,x2722,x2725)) % 183.16/183.19 [273]~E(x2731,x2732)+E(f187(x2733,x2734,x2735,x2731),f187(x2733,x2734,x2735,x2732)) % 183.16/183.19 [274]~E(x2741,x2742)+E(f178(x2741,x2743,x2744),f178(x2742,x2743,x2744)) % 183.16/183.19 [275]~E(x2751,x2752)+E(f178(x2753,x2751,x2754),f178(x2753,x2752,x2754)) % 183.16/183.19 [276]~E(x2761,x2762)+E(f178(x2763,x2764,x2761),f178(x2763,x2764,x2762)) % 183.16/183.19 [277]~E(x2771,x2772)+E(f160(x2771,x2773),f160(x2772,x2773)) % 183.16/183.19 [278]~E(x2781,x2782)+E(f160(x2783,x2781),f160(x2783,x2782)) % 183.16/183.19 [279]~E(x2791,x2792)+E(f880(x2791,x2793),f880(x2792,x2793)) % 183.16/183.19 [280]~E(x2801,x2802)+E(f880(x2803,x2801),f880(x2803,x2802)) % 183.16/183.19 [281]~E(x2811,x2812)+E(f302(x2811),f302(x2812)) % 183.16/183.19 [282]~E(x2821,x2822)+E(f169(x2821),f169(x2822)) % 183.16/183.19 [283]~E(x2831,x2832)+E(f306(x2831,x2833,x2834),f306(x2832,x2833,x2834)) % 183.16/183.19 [284]~E(x2841,x2842)+E(f306(x2843,x2841,x2844),f306(x2843,x2842,x2844)) % 183.16/183.19 [285]~E(x2851,x2852)+E(f306(x2853,x2854,x2851),f306(x2853,x2854,x2852)) % 183.16/183.19 [286]~E(x2861,x2862)+E(f397(x2861,x2863,x2864,x2865),f397(x2862,x2863,x2864,x2865)) % 183.16/183.19 [287]~E(x2871,x2872)+E(f397(x2873,x2871,x2874,x2875),f397(x2873,x2872,x2874,x2875)) % 183.16/183.19 [288]~E(x2881,x2882)+E(f397(x2883,x2884,x2881,x2885),f397(x2883,x2884,x2882,x2885)) % 183.16/183.19 [289]~E(x2891,x2892)+E(f397(x2893,x2894,x2895,x2891),f397(x2893,x2894,x2895,x2892)) % 183.16/183.19 [290]~E(x2901,x2902)+E(f774(x2901,x2903,x2904,x2905,x2906),f774(x2902,x2903,x2904,x2905,x2906)) % 183.16/183.19 [291]~E(x2911,x2912)+E(f774(x2913,x2911,x2914,x2915,x2916),f774(x2913,x2912,x2914,x2915,x2916)) % 183.16/183.19 [292]~E(x2921,x2922)+E(f774(x2923,x2924,x2921,x2925,x2926),f774(x2923,x2924,x2922,x2925,x2926)) % 183.16/183.19 [293]~E(x2931,x2932)+E(f774(x2933,x2934,x2935,x2931,x2936),f774(x2933,x2934,x2935,x2932,x2936)) % 183.16/183.19 [294]~E(x2941,x2942)+E(f774(x2943,x2944,x2945,x2946,x2941),f774(x2943,x2944,x2945,x2946,x2942)) % 183.16/183.19 [295]~E(x2951,x2952)+E(f180(x2951,x2953),f180(x2952,x2953)) % 183.16/183.19 [296]~E(x2961,x2962)+E(f180(x2963,x2961),f180(x2963,x2962)) % 183.16/183.19 [297]~E(x2971,x2972)+E(f38(x2971),f38(x2972)) % 183.16/183.19 [298]~E(x2981,x2982)+E(f173(x2981),f173(x2982)) % 183.16/183.19 [299]~E(x2991,x2992)+E(f326(x2991,x2993,x2994,x2995),f326(x2992,x2993,x2994,x2995)) % 183.16/183.19 [300]~E(x3001,x3002)+E(f326(x3003,x3001,x3004,x3005),f326(x3003,x3002,x3004,x3005)) % 183.16/183.19 [301]~E(x3011,x3012)+E(f326(x3013,x3014,x3011,x3015),f326(x3013,x3014,x3012,x3015)) % 183.16/183.19 [302]~E(x3021,x3022)+E(f326(x3023,x3024,x3025,x3021),f326(x3023,x3024,x3025,x3022)) % 183.16/183.19 [303]~E(x3031,x3032)+E(f344(x3031,x3033),f344(x3032,x3033)) % 183.16/183.19 [304]~E(x3041,x3042)+E(f344(x3043,x3041),f344(x3043,x3042)) % 183.16/183.19 [305]~E(x3051,x3052)+E(f240(x3051),f240(x3052)) % 183.16/183.19 [306]~E(x3061,x3062)+E(f99(x3061),f99(x3062)) % 183.16/183.19 [307]~E(x3071,x3072)+E(f18(x3071,x3073,x3074),f18(x3072,x3073,x3074)) % 183.16/183.19 [308]~E(x3081,x3082)+E(f18(x3083,x3081,x3084),f18(x3083,x3082,x3084)) % 183.16/183.19 [309]~E(x3091,x3092)+E(f18(x3093,x3094,x3091),f18(x3093,x3094,x3092)) % 183.16/183.19 [310]~E(x3101,x3102)+E(f142(x3101),f142(x3102)) % 183.16/183.19 [311]~E(x3111,x3112)+E(f90(x3111),f90(x3112)) % 183.16/183.19 [312]~E(x3121,x3122)+E(f305(x3121),f305(x3122)) % 183.16/183.19 [313]~E(x3131,x3132)+E(f64(x3131,x3133,x3134),f64(x3132,x3133,x3134)) % 183.16/183.19 [314]~E(x3141,x3142)+E(f64(x3143,x3141,x3144),f64(x3143,x3142,x3144)) % 183.16/183.19 [315]~E(x3151,x3152)+E(f64(x3153,x3154,x3151),f64(x3153,x3154,x3152)) % 183.16/183.19 [316]~E(x3161,x3162)+E(f32(x3161,x3163),f32(x3162,x3163)) % 183.16/183.19 [317]~E(x3171,x3172)+E(f32(x3173,x3171),f32(x3173,x3172)) % 183.16/183.19 [318]~E(x3181,x3182)+E(f380(x3181,x3183,x3184,x3185,x3186,x3187),f380(x3182,x3183,x3184,x3185,x3186,x3187)) % 183.16/183.19 [319]~E(x3191,x3192)+E(f380(x3193,x3191,x3194,x3195,x3196,x3197),f380(x3193,x3192,x3194,x3195,x3196,x3197)) % 183.16/183.19 [320]~E(x3201,x3202)+E(f380(x3203,x3204,x3201,x3205,x3206,x3207),f380(x3203,x3204,x3202,x3205,x3206,x3207)) % 183.16/183.19 [321]~E(x3211,x3212)+E(f380(x3213,x3214,x3215,x3211,x3216,x3217),f380(x3213,x3214,x3215,x3212,x3216,x3217)) % 183.16/183.19 [322]~E(x3221,x3222)+E(f380(x3223,x3224,x3225,x3226,x3221,x3227),f380(x3223,x3224,x3225,x3226,x3222,x3227)) % 183.16/183.19 [323]~E(x3231,x3232)+E(f380(x3233,x3234,x3235,x3236,x3237,x3231),f380(x3233,x3234,x3235,x3236,x3237,x3232)) % 183.16/183.19 [324]~E(x3241,x3242)+E(f159(x3241,x3243),f159(x3242,x3243)) % 183.16/183.19 [325]~E(x3251,x3252)+E(f159(x3253,x3251),f159(x3253,x3252)) % 183.16/183.19 [326]~E(x3261,x3262)+E(f452(x3261,x3263),f452(x3262,x3263)) % 183.16/183.19 [327]~E(x3271,x3272)+E(f452(x3273,x3271),f452(x3273,x3272)) % 183.16/183.19 [328]~E(x3281,x3282)+E(f264(x3281,x3283),f264(x3282,x3283)) % 183.16/183.19 [329]~E(x3291,x3292)+E(f264(x3293,x3291),f264(x3293,x3292)) % 183.16/183.19 [330]~E(x3301,x3302)+E(f324(x3301,x3303),f324(x3302,x3303)) % 183.16/183.19 [331]~E(x3311,x3312)+E(f324(x3313,x3311),f324(x3313,x3312)) % 183.16/183.19 [332]~E(x3321,x3322)+E(f277(x3321,x3323),f277(x3322,x3323)) % 183.16/183.19 [333]~E(x3331,x3332)+E(f277(x3333,x3331),f277(x3333,x3332)) % 183.16/183.19 [334]~E(x3341,x3342)+E(f325(x3341,x3343),f325(x3342,x3343)) % 183.16/183.19 [335]~E(x3351,x3352)+E(f325(x3353,x3351),f325(x3353,x3352)) % 183.16/183.19 [336]~E(x3361,x3362)+E(f190(x3361,x3363,x3364,x3365),f190(x3362,x3363,x3364,x3365)) % 183.16/183.19 [337]~E(x3371,x3372)+E(f190(x3373,x3371,x3374,x3375),f190(x3373,x3372,x3374,x3375)) % 183.16/183.19 [338]~E(x3381,x3382)+E(f190(x3383,x3384,x3381,x3385),f190(x3383,x3384,x3382,x3385)) % 183.16/183.19 [339]~E(x3391,x3392)+E(f190(x3393,x3394,x3395,x3391),f190(x3393,x3394,x3395,x3392)) % 183.16/183.19 [340]~E(x3401,x3402)+E(f757(x3401,x3403,x3404,x3405),f757(x3402,x3403,x3404,x3405)) % 183.16/183.19 [341]~E(x3411,x3412)+E(f757(x3413,x3411,x3414,x3415),f757(x3413,x3412,x3414,x3415)) % 183.16/183.19 [342]~E(x3421,x3422)+E(f757(x3423,x3424,x3421,x3425),f757(x3423,x3424,x3422,x3425)) % 183.16/183.19 [343]~E(x3431,x3432)+E(f757(x3433,x3434,x3435,x3431),f757(x3433,x3434,x3435,x3432)) % 183.16/183.19 [344]~E(x3441,x3442)+E(f235(x3441,x3443,x3444),f235(x3442,x3443,x3444)) % 183.16/183.19 [345]~E(x3451,x3452)+E(f235(x3453,x3451,x3454),f235(x3453,x3452,x3454)) % 183.16/183.19 [346]~E(x3461,x3462)+E(f235(x3463,x3464,x3461),f235(x3463,x3464,x3462)) % 183.16/183.19 [347]~E(x3471,x3472)+E(f824(x3471,x3473,x3474),f824(x3472,x3473,x3474)) % 183.16/183.19 [348]~E(x3481,x3482)+E(f824(x3483,x3481,x3484),f824(x3483,x3482,x3484)) % 183.16/183.19 [349]~E(x3491,x3492)+E(f824(x3493,x3494,x3491),f824(x3493,x3494,x3492)) % 183.16/183.19 [350]~E(x3501,x3502)+E(f473(x3501,x3503,x3504),f473(x3502,x3503,x3504)) % 183.16/183.19 [351]~E(x3511,x3512)+E(f473(x3513,x3511,x3514),f473(x3513,x3512,x3514)) % 183.16/183.19 [352]~E(x3521,x3522)+E(f473(x3523,x3524,x3521),f473(x3523,x3524,x3522)) % 183.16/183.19 [353]~E(x3531,x3532)+E(f171(x3531,x3533,x3534),f171(x3532,x3533,x3534)) % 183.16/183.19 [354]~E(x3541,x3542)+E(f171(x3543,x3541,x3544),f171(x3543,x3542,x3544)) % 183.16/183.19 [355]~E(x3551,x3552)+E(f171(x3553,x3554,x3551),f171(x3553,x3554,x3552)) % 183.16/183.19 [356]~E(x3561,x3562)+E(f495(x3561,x3563,x3564,x3565,x3566,x3567),f495(x3562,x3563,x3564,x3565,x3566,x3567)) % 183.16/183.19 [357]~E(x3571,x3572)+E(f495(x3573,x3571,x3574,x3575,x3576,x3577),f495(x3573,x3572,x3574,x3575,x3576,x3577)) % 183.16/183.19 [358]~E(x3581,x3582)+E(f495(x3583,x3584,x3581,x3585,x3586,x3587),f495(x3583,x3584,x3582,x3585,x3586,x3587)) % 183.16/183.19 [359]~E(x3591,x3592)+E(f495(x3593,x3594,x3595,x3591,x3596,x3597),f495(x3593,x3594,x3595,x3592,x3596,x3597)) % 183.16/183.19 [360]~E(x3601,x3602)+E(f495(x3603,x3604,x3605,x3606,x3601,x3607),f495(x3603,x3604,x3605,x3606,x3602,x3607)) % 183.16/183.19 [361]~E(x3611,x3612)+E(f495(x3613,x3614,x3615,x3616,x3617,x3611),f495(x3613,x3614,x3615,x3616,x3617,x3612)) % 183.16/183.19 [362]~E(x3621,x3622)+E(f140(x3621,x3623),f140(x3622,x3623)) % 183.16/183.19 [363]~E(x3631,x3632)+E(f140(x3633,x3631),f140(x3633,x3632)) % 183.16/183.19 [364]~E(x3641,x3642)+E(f209(x3641),f209(x3642)) % 183.16/183.19 [365]~E(x3651,x3652)+E(f753(x3651,x3653,x3654),f753(x3652,x3653,x3654)) % 183.16/183.19 [366]~E(x3661,x3662)+E(f753(x3663,x3661,x3664),f753(x3663,x3662,x3664)) % 183.16/183.19 [367]~E(x3671,x3672)+E(f753(x3673,x3674,x3671),f753(x3673,x3674,x3672)) % 183.16/183.19 [368]~E(x3681,x3682)+E(f652(x3681,x3683,x3684,x3685),f652(x3682,x3683,x3684,x3685)) % 183.16/183.19 [369]~E(x3691,x3692)+E(f652(x3693,x3691,x3694,x3695),f652(x3693,x3692,x3694,x3695)) % 183.16/183.19 [370]~E(x3701,x3702)+E(f652(x3703,x3704,x3701,x3705),f652(x3703,x3704,x3702,x3705)) % 183.16/183.19 [371]~E(x3711,x3712)+E(f652(x3713,x3714,x3715,x3711),f652(x3713,x3714,x3715,x3712)) % 183.16/183.19 [372]~E(x3721,x3722)+E(f431(x3721,x3723,x3724,x3725),f431(x3722,x3723,x3724,x3725)) % 183.16/183.19 [373]~E(x3731,x3732)+E(f431(x3733,x3731,x3734,x3735),f431(x3733,x3732,x3734,x3735)) % 183.16/183.19 [374]~E(x3741,x3742)+E(f431(x3743,x3744,x3741,x3745),f431(x3743,x3744,x3742,x3745)) % 183.16/183.19 [375]~E(x3751,x3752)+E(f431(x3753,x3754,x3755,x3751),f431(x3753,x3754,x3755,x3752)) % 183.16/183.19 [376]~E(x3761,x3762)+E(f743(x3761,x3763),f743(x3762,x3763)) % 183.16/183.19 [377]~E(x3771,x3772)+E(f743(x3773,x3771),f743(x3773,x3772)) % 183.16/183.19 [378]~E(x3781,x3782)+E(f75(x3781,x3783,x3784,x3785,x3786),f75(x3782,x3783,x3784,x3785,x3786)) % 183.16/183.19 [379]~E(x3791,x3792)+E(f75(x3793,x3791,x3794,x3795,x3796),f75(x3793,x3792,x3794,x3795,x3796)) % 183.16/183.19 [380]~E(x3801,x3802)+E(f75(x3803,x3804,x3801,x3805,x3806),f75(x3803,x3804,x3802,x3805,x3806)) % 183.16/183.19 [381]~E(x3811,x3812)+E(f75(x3813,x3814,x3815,x3811,x3816),f75(x3813,x3814,x3815,x3812,x3816)) % 183.16/183.19 [382]~E(x3821,x3822)+E(f75(x3823,x3824,x3825,x3826,x3821),f75(x3823,x3824,x3825,x3826,x3822)) % 183.16/183.19 [383]~E(x3831,x3832)+E(f386(x3831,x3833,x3834,x3835),f386(x3832,x3833,x3834,x3835)) % 183.16/183.19 [384]~E(x3841,x3842)+E(f386(x3843,x3841,x3844,x3845),f386(x3843,x3842,x3844,x3845)) % 183.16/183.19 [385]~E(x3851,x3852)+E(f386(x3853,x3854,x3851,x3855),f386(x3853,x3854,x3852,x3855)) % 183.16/183.19 [386]~E(x3861,x3862)+E(f386(x3863,x3864,x3865,x3861),f386(x3863,x3864,x3865,x3862)) % 183.16/183.19 [387]~E(x3871,x3872)+E(f84(x3871,x3873),f84(x3872,x3873)) % 183.16/183.19 [388]~E(x3881,x3882)+E(f84(x3883,x3881),f84(x3883,x3882)) % 183.16/183.19 [389]~E(x3891,x3892)+E(f744(x3891,x3893),f744(x3892,x3893)) % 183.16/183.19 [390]~E(x3901,x3902)+E(f744(x3903,x3901),f744(x3903,x3902)) % 183.16/183.19 [391]~E(x3911,x3912)+E(f139(x3911),f139(x3912)) % 183.16/183.19 [392]~E(x3921,x3922)+E(f89(x3921,x3923),f89(x3922,x3923)) % 183.16/183.19 [393]~E(x3931,x3932)+E(f89(x3933,x3931),f89(x3933,x3932)) % 183.16/183.19 [394]~E(x3941,x3942)+E(f181(x3941,x3943),f181(x3942,x3943)) % 183.16/183.19 [395]~E(x3951,x3952)+E(f181(x3953,x3951),f181(x3953,x3952)) % 183.16/183.19 [396]~E(x3961,x3962)+E(f154(x3961,x3963),f154(x3962,x3963)) % 183.16/183.19 [397]~E(x3971,x3972)+E(f154(x3973,x3971),f154(x3973,x3972)) % 183.16/183.19 [398]~E(x3981,x3982)+E(f442(x3981,x3983),f442(x3982,x3983)) % 183.16/183.19 [399]~E(x3991,x3992)+E(f442(x3993,x3991),f442(x3993,x3992)) % 183.16/183.19 [400]~E(x4001,x4002)+E(f763(x4001,x4003,x4004,x4005),f763(x4002,x4003,x4004,x4005)) % 183.16/183.19 [401]~E(x4011,x4012)+E(f763(x4013,x4011,x4014,x4015),f763(x4013,x4012,x4014,x4015)) % 183.16/183.19 [402]~E(x4021,x4022)+E(f763(x4023,x4024,x4021,x4025),f763(x4023,x4024,x4022,x4025)) % 183.16/183.19 [403]~E(x4031,x4032)+E(f763(x4033,x4034,x4035,x4031),f763(x4033,x4034,x4035,x4032)) % 183.16/183.19 [404]~E(x4041,x4042)+E(f244(x4041),f244(x4042)) % 183.16/183.19 [405]~E(x4051,x4052)+E(f158(x4051,x4053),f158(x4052,x4053)) % 183.16/183.19 [406]~E(x4061,x4062)+E(f158(x4063,x4061),f158(x4063,x4062)) % 183.16/183.19 [407]~E(x4071,x4072)+E(f213(x4071),f213(x4072)) % 183.16/183.19 [408]~E(x4081,x4082)+E(f683(x4081,x4083,x4084),f683(x4082,x4083,x4084)) % 183.16/183.19 [409]~E(x4091,x4092)+E(f683(x4093,x4091,x4094),f683(x4093,x4092,x4094)) % 183.16/183.19 [410]~E(x4101,x4102)+E(f683(x4103,x4104,x4101),f683(x4103,x4104,x4102)) % 183.16/183.19 [411]~E(x4111,x4112)+E(f9(x4111,x4113),f9(x4112,x4113)) % 183.16/183.19 [412]~E(x4121,x4122)+E(f9(x4123,x4121),f9(x4123,x4122)) % 183.16/183.19 [413]~E(x4131,x4132)+E(f604(x4131,x4133,x4134),f604(x4132,x4133,x4134)) % 183.16/183.19 [414]~E(x4141,x4142)+E(f604(x4143,x4141,x4144),f604(x4143,x4142,x4144)) % 183.16/183.19 [415]~E(x4151,x4152)+E(f604(x4153,x4154,x4151),f604(x4153,x4154,x4152)) % 183.16/183.19 [416]~E(x4161,x4162)+E(f189(x4161,x4163,x4164,x4165,x4166),f189(x4162,x4163,x4164,x4165,x4166)) % 183.16/183.19 [417]~E(x4171,x4172)+E(f189(x4173,x4171,x4174,x4175,x4176),f189(x4173,x4172,x4174,x4175,x4176)) % 183.16/183.19 [418]~E(x4181,x4182)+E(f189(x4183,x4184,x4181,x4185,x4186),f189(x4183,x4184,x4182,x4185,x4186)) % 183.16/183.19 [419]~E(x4191,x4192)+E(f189(x4193,x4194,x4195,x4191,x4196),f189(x4193,x4194,x4195,x4192,x4196)) % 183.16/183.19 [420]~E(x4201,x4202)+E(f189(x4203,x4204,x4205,x4206,x4201),f189(x4203,x4204,x4205,x4206,x4202)) % 183.16/183.19 [421]~E(x4211,x4212)+E(f12(x4211,x4213,x4214),f12(x4212,x4213,x4214)) % 183.16/183.19 [422]~E(x4221,x4222)+E(f12(x4223,x4221,x4224),f12(x4223,x4222,x4224)) % 183.16/183.19 [423]~E(x4231,x4232)+E(f12(x4233,x4234,x4231),f12(x4233,x4234,x4232)) % 183.16/183.19 [424]~E(x4241,x4242)+E(f628(x4241,x4243,x4244),f628(x4242,x4243,x4244)) % 183.16/183.19 [425]~E(x4251,x4252)+E(f628(x4253,x4251,x4254),f628(x4253,x4252,x4254)) % 183.16/183.19 [426]~E(x4261,x4262)+E(f628(x4263,x4264,x4261),f628(x4263,x4264,x4262)) % 183.16/183.19 [427]~E(x4271,x4272)+E(f66(x4271,x4273,x4274,x4275,x4276),f66(x4272,x4273,x4274,x4275,x4276)) % 183.16/183.19 [428]~E(x4281,x4282)+E(f66(x4283,x4281,x4284,x4285,x4286),f66(x4283,x4282,x4284,x4285,x4286)) % 183.16/183.19 [429]~E(x4291,x4292)+E(f66(x4293,x4294,x4291,x4295,x4296),f66(x4293,x4294,x4292,x4295,x4296)) % 183.16/183.19 [430]~E(x4301,x4302)+E(f66(x4303,x4304,x4305,x4301,x4306),f66(x4303,x4304,x4305,x4302,x4306)) % 183.16/183.19 [431]~E(x4311,x4312)+E(f66(x4313,x4314,x4315,x4316,x4311),f66(x4313,x4314,x4315,x4316,x4312)) % 183.16/183.19 [432]~E(x4321,x4322)+E(f151(x4321,x4323,x4324,x4325),f151(x4322,x4323,x4324,x4325)) % 183.16/183.19 [433]~E(x4331,x4332)+E(f151(x4333,x4331,x4334,x4335),f151(x4333,x4332,x4334,x4335)) % 183.16/183.19 [434]~E(x4341,x4342)+E(f151(x4343,x4344,x4341,x4345),f151(x4343,x4344,x4342,x4345)) % 183.16/183.19 [435]~E(x4351,x4352)+E(f151(x4353,x4354,x4355,x4351),f151(x4353,x4354,x4355,x4352)) % 183.16/183.19 [436]~E(x4361,x4362)+E(f651(x4361,x4363,x4364,x4365),f651(x4362,x4363,x4364,x4365)) % 183.16/183.19 [437]~E(x4371,x4372)+E(f651(x4373,x4371,x4374,x4375),f651(x4373,x4372,x4374,x4375)) % 183.16/183.19 [438]~E(x4381,x4382)+E(f651(x4383,x4384,x4381,x4385),f651(x4383,x4384,x4382,x4385)) % 183.16/183.19 [439]~E(x4391,x4392)+E(f651(x4393,x4394,x4395,x4391),f651(x4393,x4394,x4395,x4392)) % 183.16/183.19 [440]~E(x4401,x4402)+E(f94(x4401,x4403,x4404),f94(x4402,x4403,x4404)) % 183.16/183.19 [441]~E(x4411,x4412)+E(f94(x4413,x4411,x4414),f94(x4413,x4412,x4414)) % 183.16/183.19 [442]~E(x4421,x4422)+E(f94(x4423,x4424,x4421),f94(x4423,x4424,x4422)) % 183.16/183.19 [443]~E(x4431,x4432)+E(f812(x4431,x4433,x4434),f812(x4432,x4433,x4434)) % 183.16/183.19 [444]~E(x4441,x4442)+E(f812(x4443,x4441,x4444),f812(x4443,x4442,x4444)) % 183.16/183.19 [445]~E(x4451,x4452)+E(f812(x4453,x4454,x4451),f812(x4453,x4454,x4452)) % 183.16/183.19 [446]~E(x4461,x4462)+E(f657(x4461,x4463),f657(x4462,x4463)) % 183.16/183.19 [447]~E(x4471,x4472)+E(f657(x4473,x4471),f657(x4473,x4472)) % 183.16/183.19 [448]~E(x4481,x4482)+E(f288(x4481,x4483),f288(x4482,x4483)) % 183.16/183.19 [449]~E(x4491,x4492)+E(f288(x4493,x4491),f288(x4493,x4492)) % 183.16/183.19 [450]~E(x4501,x4502)+E(f112(x4501),f112(x4502)) % 183.16/183.19 [451]~E(x4511,x4512)+E(f668(x4511,x4513,x4514),f668(x4512,x4513,x4514)) % 183.16/183.19 [452]~E(x4521,x4522)+E(f668(x4523,x4521,x4524),f668(x4523,x4522,x4524)) % 183.16/183.19 [453]~E(x4531,x4532)+E(f668(x4533,x4534,x4531),f668(x4533,x4534,x4532)) % 183.16/183.19 [454]~E(x4541,x4542)+E(f418(x4541,x4543,x4544,x4545),f418(x4542,x4543,x4544,x4545)) % 183.16/183.19 [455]~E(x4551,x4552)+E(f418(x4553,x4551,x4554,x4555),f418(x4553,x4552,x4554,x4555)) % 183.16/183.19 [456]~E(x4561,x4562)+E(f418(x4563,x4564,x4561,x4565),f418(x4563,x4564,x4562,x4565)) % 183.16/183.19 [457]~E(x4571,x4572)+E(f418(x4573,x4574,x4575,x4571),f418(x4573,x4574,x4575,x4572)) % 183.16/183.19 [458]~E(x4581,x4582)+E(f182(x4581,x4583),f182(x4582,x4583)) % 183.16/183.19 [459]~E(x4591,x4592)+E(f182(x4593,x4591),f182(x4593,x4592)) % 183.16/183.19 [460]~E(x4601,x4602)+E(f254(x4601),f254(x4602)) % 183.16/183.19 [461]~E(x4611,x4612)+E(f167(x4611),f167(x4612)) % 183.16/183.19 [462]~E(x4621,x4622)+E(f186(x4621,x4623,x4624),f186(x4622,x4623,x4624)) % 183.16/183.19 [463]~E(x4631,x4632)+E(f186(x4633,x4631,x4634),f186(x4633,x4632,x4634)) % 183.16/183.19 [464]~E(x4641,x4642)+E(f186(x4643,x4644,x4641),f186(x4643,x4644,x4642)) % 183.16/183.19 [465]~E(x4651,x4652)+E(f372(x4651,x4653,x4654,x4655,x4656),f372(x4652,x4653,x4654,x4655,x4656)) % 183.16/183.19 [466]~E(x4661,x4662)+E(f372(x4663,x4661,x4664,x4665,x4666),f372(x4663,x4662,x4664,x4665,x4666)) % 183.16/183.19 [467]~E(x4671,x4672)+E(f372(x4673,x4674,x4671,x4675,x4676),f372(x4673,x4674,x4672,x4675,x4676)) % 183.16/183.19 [468]~E(x4681,x4682)+E(f372(x4683,x4684,x4685,x4681,x4686),f372(x4683,x4684,x4685,x4682,x4686)) % 183.16/183.19 [469]~E(x4691,x4692)+E(f372(x4693,x4694,x4695,x4696,x4691),f372(x4693,x4694,x4695,x4696,x4692)) % 183.16/183.19 [470]~E(x4701,x4702)+E(f462(x4701,x4703,x4704),f462(x4702,x4703,x4704)) % 183.16/183.19 [471]~E(x4711,x4712)+E(f462(x4713,x4711,x4714),f462(x4713,x4712,x4714)) % 183.16/183.19 [472]~E(x4721,x4722)+E(f462(x4723,x4724,x4721),f462(x4723,x4724,x4722)) % 183.16/183.19 [473]~E(x4731,x4732)+E(f793(x4731,x4733,x4734,x4735,x4736,x4737,x4738),f793(x4732,x4733,x4734,x4735,x4736,x4737,x4738)) % 183.16/183.19 [474]~E(x4741,x4742)+E(f793(x4743,x4741,x4744,x4745,x4746,x4747,x4748),f793(x4743,x4742,x4744,x4745,x4746,x4747,x4748)) % 183.16/183.19 [475]~E(x4751,x4752)+E(f793(x4753,x4754,x4751,x4755,x4756,x4757,x4758),f793(x4753,x4754,x4752,x4755,x4756,x4757,x4758)) % 183.16/183.19 [476]~E(x4761,x4762)+E(f793(x4763,x4764,x4765,x4761,x4766,x4767,x4768),f793(x4763,x4764,x4765,x4762,x4766,x4767,x4768)) % 183.16/183.19 [477]~E(x4771,x4772)+E(f793(x4773,x4774,x4775,x4776,x4771,x4777,x4778),f793(x4773,x4774,x4775,x4776,x4772,x4777,x4778)) % 183.16/183.19 [478]~E(x4781,x4782)+E(f793(x4783,x4784,x4785,x4786,x4787,x4781,x4788),f793(x4783,x4784,x4785,x4786,x4787,x4782,x4788)) % 183.16/183.19 [479]~E(x4791,x4792)+E(f793(x4793,x4794,x4795,x4796,x4797,x4798,x4791),f793(x4793,x4794,x4795,x4796,x4797,x4798,x4792)) % 183.16/183.19 [480]~E(x4801,x4802)+E(f553(x4801,x4803,x4804),f553(x4802,x4803,x4804)) % 183.16/183.19 [481]~E(x4811,x4812)+E(f553(x4813,x4811,x4814),f553(x4813,x4812,x4814)) % 183.16/183.19 [482]~E(x4821,x4822)+E(f553(x4823,x4824,x4821),f553(x4823,x4824,x4822)) % 183.16/183.19 [483]~E(x4831,x4832)+E(f308(x4831),f308(x4832)) % 183.16/183.19 [484]~E(x4841,x4842)+E(f355(x4841),f355(x4842)) % 183.16/183.19 [485]~E(x4851,x4852)+E(f320(x4851,x4853,x4854,x4855),f320(x4852,x4853,x4854,x4855)) % 183.16/183.19 [486]~E(x4861,x4862)+E(f320(x4863,x4861,x4864,x4865),f320(x4863,x4862,x4864,x4865)) % 183.16/183.19 [487]~E(x4871,x4872)+E(f320(x4873,x4874,x4871,x4875),f320(x4873,x4874,x4872,x4875)) % 183.16/183.19 [488]~E(x4881,x4882)+E(f320(x4883,x4884,x4885,x4881),f320(x4883,x4884,x4885,x4882)) % 183.16/183.19 [489]~E(x4891,x4892)+E(f415(x4891,x4893,x4894),f415(x4892,x4893,x4894)) % 183.16/183.19 [490]~E(x4901,x4902)+E(f415(x4903,x4901,x4904),f415(x4903,x4902,x4904)) % 183.16/183.19 [491]~E(x4911,x4912)+E(f415(x4913,x4914,x4911),f415(x4913,x4914,x4912)) % 183.16/183.19 [492]~E(x4921,x4922)+E(f375(x4921),f375(x4922)) % 183.16/183.19 [493]~E(x4931,x4932)+E(f792(x4931,x4933,x4934),f792(x4932,x4933,x4934)) % 183.16/183.19 [494]~E(x4941,x4942)+E(f792(x4943,x4941,x4944),f792(x4943,x4942,x4944)) % 183.16/183.19 [495]~E(x4951,x4952)+E(f792(x4953,x4954,x4951),f792(x4953,x4954,x4952)) % 183.16/183.19 [496]~E(x4961,x4962)+E(f149(x4961,x4963,x4964),f149(x4962,x4963,x4964)) % 183.16/183.19 [497]~E(x4971,x4972)+E(f149(x4973,x4971,x4974),f149(x4973,x4972,x4974)) % 183.16/183.19 [498]~E(x4981,x4982)+E(f149(x4983,x4984,x4981),f149(x4983,x4984,x4982)) % 183.16/183.19 [499]~E(x4991,x4992)+E(f568(x4991,x4993,x4994,x4995),f568(x4992,x4993,x4994,x4995)) % 183.16/183.19 [500]~E(x5001,x5002)+E(f568(x5003,x5001,x5004,x5005),f568(x5003,x5002,x5004,x5005)) % 183.16/183.19 [501]~E(x5011,x5012)+E(f568(x5013,x5014,x5011,x5015),f568(x5013,x5014,x5012,x5015)) % 183.16/183.19 [502]~E(x5021,x5022)+E(f568(x5023,x5024,x5025,x5021),f568(x5023,x5024,x5025,x5022)) % 183.16/183.19 [503]~E(x5031,x5032)+E(f672(x5031,x5033,x5034,x5035,x5036),f672(x5032,x5033,x5034,x5035,x5036)) % 183.16/183.19 [504]~E(x5041,x5042)+E(f672(x5043,x5041,x5044,x5045,x5046),f672(x5043,x5042,x5044,x5045,x5046)) % 183.16/183.19 [505]~E(x5051,x5052)+E(f672(x5053,x5054,x5051,x5055,x5056),f672(x5053,x5054,x5052,x5055,x5056)) % 183.16/183.19 [506]~E(x5061,x5062)+E(f672(x5063,x5064,x5065,x5061,x5066),f672(x5063,x5064,x5065,x5062,x5066)) % 183.16/183.19 [507]~E(x5071,x5072)+E(f672(x5073,x5074,x5075,x5076,x5071),f672(x5073,x5074,x5075,x5076,x5072)) % 183.16/183.19 [508]~E(x5081,x5082)+E(f266(x5081,x5083),f266(x5082,x5083)) % 183.16/183.19 [509]~E(x5091,x5092)+E(f266(x5093,x5091),f266(x5093,x5092)) % 183.16/183.19 [510]~E(x5101,x5102)+E(f627(x5101,x5103,x5104),f627(x5102,x5103,x5104)) % 183.16/183.19 [511]~E(x5111,x5112)+E(f627(x5113,x5111,x5114),f627(x5113,x5112,x5114)) % 183.16/183.19 [512]~E(x5121,x5122)+E(f627(x5123,x5124,x5121),f627(x5123,x5124,x5122)) % 183.16/183.19 [513]~E(x5131,x5132)+E(f85(x5131,x5133),f85(x5132,x5133)) % 183.16/183.19 [514]~E(x5141,x5142)+E(f85(x5143,x5141),f85(x5143,x5142)) % 183.16/183.19 [515]~E(x5151,x5152)+E(f255(x5151),f255(x5152)) % 183.16/183.19 [516]~E(x5161,x5162)+E(f552(x5161),f552(x5162)) % 183.16/183.19 [517]~E(x5171,x5172)+E(f194(x5171),f194(x5172)) % 183.16/183.19 [518]~E(x5181,x5182)+E(f770(x5181,x5183,x5184,x5185,x5186),f770(x5182,x5183,x5184,x5185,x5186)) % 183.16/183.19 [519]~E(x5191,x5192)+E(f770(x5193,x5191,x5194,x5195,x5196),f770(x5193,x5192,x5194,x5195,x5196)) % 183.16/183.19 [520]~E(x5201,x5202)+E(f770(x5203,x5204,x5201,x5205,x5206),f770(x5203,x5204,x5202,x5205,x5206)) % 183.16/183.19 [521]~E(x5211,x5212)+E(f770(x5213,x5214,x5215,x5211,x5216),f770(x5213,x5214,x5215,x5212,x5216)) % 183.16/183.19 [522]~E(x5221,x5222)+E(f770(x5223,x5224,x5225,x5226,x5221),f770(x5223,x5224,x5225,x5226,x5222)) % 183.16/183.19 [523]~E(x5231,x5232)+E(f193(x5231,x5233,x5234,x5235),f193(x5232,x5233,x5234,x5235)) % 183.16/183.19 [524]~E(x5241,x5242)+E(f193(x5243,x5241,x5244,x5245),f193(x5243,x5242,x5244,x5245)) % 183.16/183.19 [525]~E(x5251,x5252)+E(f193(x5253,x5254,x5251,x5255),f193(x5253,x5254,x5252,x5255)) % 183.16/183.19 [526]~E(x5261,x5262)+E(f193(x5263,x5264,x5265,x5261),f193(x5263,x5264,x5265,x5262)) % 183.16/183.19 [527]~E(x5271,x5272)+E(f849(x5271,x5273,x5274),f849(x5272,x5273,x5274)) % 183.16/183.19 [528]~E(x5281,x5282)+E(f849(x5283,x5281,x5284),f849(x5283,x5282,x5284)) % 183.16/183.19 [529]~E(x5291,x5292)+E(f849(x5293,x5294,x5291),f849(x5293,x5294,x5292)) % 183.16/183.19 [530]~E(x5301,x5302)+E(f588(x5301,x5303),f588(x5302,x5303)) % 183.16/183.19 [531]~E(x5311,x5312)+E(f588(x5313,x5311),f588(x5313,x5312)) % 183.16/183.19 [532]~E(x5321,x5322)+E(f11(x5321,x5323,x5324),f11(x5322,x5323,x5324)) % 183.16/183.19 [533]~E(x5331,x5332)+E(f11(x5333,x5331,x5334),f11(x5333,x5332,x5334)) % 183.16/183.19 [534]~E(x5341,x5342)+E(f11(x5343,x5344,x5341),f11(x5343,x5344,x5342)) % 183.16/183.19 [535]~E(x5351,x5352)+E(f65(x5351,x5353,x5354),f65(x5352,x5353,x5354)) % 183.16/183.19 [536]~E(x5361,x5362)+E(f65(x5363,x5361,x5364),f65(x5363,x5362,x5364)) % 183.16/183.19 [537]~E(x5371,x5372)+E(f65(x5373,x5374,x5371),f65(x5373,x5374,x5372)) % 183.16/183.19 [538]~E(x5381,x5382)+E(f765(x5381,x5383),f765(x5382,x5383)) % 183.16/183.19 [539]~E(x5391,x5392)+E(f765(x5393,x5391),f765(x5393,x5392)) % 183.16/183.19 [540]~E(x5401,x5402)+E(f162(x5401,x5403),f162(x5402,x5403)) % 183.16/183.19 [541]~E(x5411,x5412)+E(f162(x5413,x5411),f162(x5413,x5412)) % 183.16/183.19 [542]~E(x5421,x5422)+E(f717(x5421,x5423),f717(x5422,x5423)) % 183.16/183.19 [543]~E(x5431,x5432)+E(f717(x5433,x5431),f717(x5433,x5432)) % 183.16/183.19 [544]~E(x5441,x5442)+E(f126(x5441,x5443),f126(x5442,x5443)) % 183.16/183.19 [545]~E(x5451,x5452)+E(f126(x5453,x5451),f126(x5453,x5452)) % 183.16/183.19 [546]~E(x5461,x5462)+E(f507(x5461,x5463),f507(x5462,x5463)) % 183.16/183.19 [547]~E(x5471,x5472)+E(f507(x5473,x5471),f507(x5473,x5472)) % 183.16/183.19 [548]~E(x5481,x5482)+E(f778(x5481,x5483,x5484),f778(x5482,x5483,x5484)) % 183.16/183.19 [549]~E(x5491,x5492)+E(f778(x5493,x5491,x5494),f778(x5493,x5492,x5494)) % 183.16/183.19 [550]~E(x5501,x5502)+E(f778(x5503,x5504,x5501),f778(x5503,x5504,x5502)) % 183.16/183.19 [551]~E(x5511,x5512)+E(f239(x5511,x5513),f239(x5512,x5513)) % 183.16/183.19 [552]~E(x5521,x5522)+E(f239(x5523,x5521),f239(x5523,x5522)) % 183.16/183.19 [553]~E(x5531,x5532)+E(f446(x5531,x5533,x5534,x5535),f446(x5532,x5533,x5534,x5535)) % 183.16/183.19 [554]~E(x5541,x5542)+E(f446(x5543,x5541,x5544,x5545),f446(x5543,x5542,x5544,x5545)) % 183.16/183.19 [555]~E(x5551,x5552)+E(f446(x5553,x5554,x5551,x5555),f446(x5553,x5554,x5552,x5555)) % 183.16/183.19 [556]~E(x5561,x5562)+E(f446(x5563,x5564,x5565,x5561),f446(x5563,x5564,x5565,x5562)) % 183.16/183.19 [557]~E(x5571,x5572)+E(f265(x5571,x5573),f265(x5572,x5573)) % 183.16/183.19 [558]~E(x5581,x5582)+E(f265(x5583,x5581),f265(x5583,x5582)) % 183.16/183.19 [559]~E(x5591,x5592)+E(f183(x5591),f183(x5592)) % 183.16/183.19 [560]~E(x5601,x5602)+E(f164(x5601,x5603,x5604,x5605),f164(x5602,x5603,x5604,x5605)) % 183.16/183.19 [561]~E(x5611,x5612)+E(f164(x5613,x5611,x5614,x5615),f164(x5613,x5612,x5614,x5615)) % 183.16/183.19 [562]~E(x5621,x5622)+E(f164(x5623,x5624,x5621,x5625),f164(x5623,x5624,x5622,x5625)) % 183.16/183.19 [563]~E(x5631,x5632)+E(f164(x5633,x5634,x5635,x5631),f164(x5633,x5634,x5635,x5632)) % 183.16/183.19 [564]~E(x5641,x5642)+E(f269(x5641,x5643,x5644,x5645,x5646),f269(x5642,x5643,x5644,x5645,x5646)) % 183.16/183.19 [565]~E(x5651,x5652)+E(f269(x5653,x5651,x5654,x5655,x5656),f269(x5653,x5652,x5654,x5655,x5656)) % 183.16/183.19 [566]~E(x5661,x5662)+E(f269(x5663,x5664,x5661,x5665,x5666),f269(x5663,x5664,x5662,x5665,x5666)) % 183.16/183.19 [567]~E(x5671,x5672)+E(f269(x5673,x5674,x5675,x5671,x5676),f269(x5673,x5674,x5675,x5672,x5676)) % 183.16/183.19 [568]~E(x5681,x5682)+E(f269(x5683,x5684,x5685,x5686,x5681),f269(x5683,x5684,x5685,x5686,x5682)) % 183.16/183.19 [569]~E(x5691,x5692)+E(f646(x5691,x5693,x5694,x5695,x5696),f646(x5692,x5693,x5694,x5695,x5696)) % 183.16/183.19 [570]~E(x5701,x5702)+E(f646(x5703,x5701,x5704,x5705,x5706),f646(x5703,x5702,x5704,x5705,x5706)) % 183.16/183.19 [571]~E(x5711,x5712)+E(f646(x5713,x5714,x5711,x5715,x5716),f646(x5713,x5714,x5712,x5715,x5716)) % 183.16/183.19 [572]~E(x5721,x5722)+E(f646(x5723,x5724,x5725,x5721,x5726),f646(x5723,x5724,x5725,x5722,x5726)) % 183.16/183.19 [573]~E(x5731,x5732)+E(f646(x5733,x5734,x5735,x5736,x5731),f646(x5733,x5734,x5735,x5736,x5732)) % 183.16/183.19 [574]~E(x5741,x5742)+E(f834(x5741,x5743,x5744,x5745),f834(x5742,x5743,x5744,x5745)) % 183.16/183.19 [575]~E(x5751,x5752)+E(f834(x5753,x5751,x5754,x5755),f834(x5753,x5752,x5754,x5755)) % 183.16/183.19 [576]~E(x5761,x5762)+E(f834(x5763,x5764,x5761,x5765),f834(x5763,x5764,x5762,x5765)) % 183.16/183.19 [577]~E(x5771,x5772)+E(f834(x5773,x5774,x5775,x5771),f834(x5773,x5774,x5775,x5772)) % 183.16/183.19 [578]~E(x5781,x5782)+E(f327(x5781,x5783,x5784),f327(x5782,x5783,x5784)) % 183.16/183.19 [579]~E(x5791,x5792)+E(f327(x5793,x5791,x5794),f327(x5793,x5792,x5794)) % 183.16/183.19 [580]~E(x5801,x5802)+E(f327(x5803,x5804,x5801),f327(x5803,x5804,x5802)) % 183.16/183.19 [581]~E(x5811,x5812)+E(f525(x5811,x5813,x5814),f525(x5812,x5813,x5814)) % 183.16/183.19 [582]~E(x5821,x5822)+E(f525(x5823,x5821,x5824),f525(x5823,x5822,x5824)) % 183.16/183.19 [583]~E(x5831,x5832)+E(f525(x5833,x5834,x5831),f525(x5833,x5834,x5832)) % 183.16/183.19 [584]~E(x5841,x5842)+E(f494(x5841,x5843,x5844,x5845,x5846,x5847),f494(x5842,x5843,x5844,x5845,x5846,x5847)) % 183.16/183.19 [585]~E(x5851,x5852)+E(f494(x5853,x5851,x5854,x5855,x5856,x5857),f494(x5853,x5852,x5854,x5855,x5856,x5857)) % 183.16/183.19 [586]~E(x5861,x5862)+E(f494(x5863,x5864,x5861,x5865,x5866,x5867),f494(x5863,x5864,x5862,x5865,x5866,x5867)) % 183.16/183.19 [587]~E(x5871,x5872)+E(f494(x5873,x5874,x5875,x5871,x5876,x5877),f494(x5873,x5874,x5875,x5872,x5876,x5877)) % 183.16/183.19 [588]~E(x5881,x5882)+E(f494(x5883,x5884,x5885,x5886,x5881,x5887),f494(x5883,x5884,x5885,x5886,x5882,x5887)) % 183.16/183.19 [589]~E(x5891,x5892)+E(f494(x5893,x5894,x5895,x5896,x5897,x5891),f494(x5893,x5894,x5895,x5896,x5897,x5892)) % 183.16/183.19 [590]~E(x5901,x5902)+E(f813(x5901,x5903,x5904),f813(x5902,x5903,x5904)) % 183.16/183.19 [591]~E(x5911,x5912)+E(f813(x5913,x5911,x5914),f813(x5913,x5912,x5914)) % 183.16/183.19 [592]~E(x5921,x5922)+E(f813(x5923,x5924,x5921),f813(x5923,x5924,x5922)) % 183.16/183.19 [593]~E(x5931,x5932)+E(f572(x5931,x5933,x5934,x5935),f572(x5932,x5933,x5934,x5935)) % 183.16/183.19 [594]~E(x5941,x5942)+E(f572(x5943,x5941,x5944,x5945),f572(x5943,x5942,x5944,x5945)) % 183.16/183.19 [595]~E(x5951,x5952)+E(f572(x5953,x5954,x5951,x5955),f572(x5953,x5954,x5952,x5955)) % 183.16/183.19 [596]~E(x5961,x5962)+E(f572(x5963,x5964,x5965,x5961),f572(x5963,x5964,x5965,x5962)) % 183.16/183.19 [597]~E(x5971,x5972)+E(f43(x5971),f43(x5972)) % 183.16/183.19 [598]~E(x5981,x5982)+E(f398(x5981,x5983,x5984,x5985,x5986),f398(x5982,x5983,x5984,x5985,x5986)) % 183.16/183.19 [599]~E(x5991,x5992)+E(f398(x5993,x5991,x5994,x5995,x5996),f398(x5993,x5992,x5994,x5995,x5996)) % 183.16/183.19 [600]~E(x6001,x6002)+E(f398(x6003,x6004,x6001,x6005,x6006),f398(x6003,x6004,x6002,x6005,x6006)) % 183.16/183.19 [601]~E(x6011,x6012)+E(f398(x6013,x6014,x6015,x6011,x6016),f398(x6013,x6014,x6015,x6012,x6016)) % 183.16/183.19 [602]~E(x6021,x6022)+E(f398(x6023,x6024,x6025,x6026,x6021),f398(x6023,x6024,x6025,x6026,x6022)) % 183.16/183.19 [603]~E(x6031,x6032)+E(f227(x6031,x6033),f227(x6032,x6033)) % 183.16/183.19 [604]~E(x6041,x6042)+E(f227(x6043,x6041),f227(x6043,x6042)) % 183.16/183.19 [605]~E(x6051,x6052)+E(f806(x6051,x6053,x6054),f806(x6052,x6053,x6054)) % 183.16/183.19 [606]~E(x6061,x6062)+E(f806(x6063,x6061,x6064),f806(x6063,x6062,x6064)) % 183.16/183.19 [607]~E(x6071,x6072)+E(f806(x6073,x6074,x6071),f806(x6073,x6074,x6072)) % 183.16/183.19 [608]~E(x6081,x6082)+E(f756(x6081,x6083,x6084),f756(x6082,x6083,x6084)) % 183.16/183.19 [609]~E(x6091,x6092)+E(f756(x6093,x6091,x6094),f756(x6093,x6092,x6094)) % 183.16/183.19 [610]~E(x6101,x6102)+E(f756(x6103,x6104,x6101),f756(x6103,x6104,x6102)) % 183.16/183.19 [611]~E(x6111,x6112)+E(f257(x6111,x6113,x6114),f257(x6112,x6113,x6114)) % 183.16/183.19 [612]~E(x6121,x6122)+E(f257(x6123,x6121,x6124),f257(x6123,x6122,x6124)) % 183.16/183.19 [613]~E(x6131,x6132)+E(f257(x6133,x6134,x6131),f257(x6133,x6134,x6132)) % 183.16/183.19 [614]~E(x6141,x6142)+E(f850(x6141,x6143,x6144),f850(x6142,x6143,x6144)) % 183.16/183.19 [615]~E(x6151,x6152)+E(f850(x6153,x6151,x6154),f850(x6153,x6152,x6154)) % 183.16/183.19 [616]~E(x6161,x6162)+E(f850(x6163,x6164,x6161),f850(x6163,x6164,x6162)) % 183.16/183.19 [617]~E(x6171,x6172)+E(f315(x6171,x6173,x6174),f315(x6172,x6173,x6174)) % 183.16/183.19 [618]~E(x6181,x6182)+E(f315(x6183,x6181,x6184),f315(x6183,x6182,x6184)) % 183.16/183.19 [619]~E(x6191,x6192)+E(f315(x6193,x6194,x6191),f315(x6193,x6194,x6192)) % 183.16/183.19 [620]~E(x6201,x6202)+E(f851(x6201,x6203,x6204),f851(x6202,x6203,x6204)) % 183.16/183.19 [621]~E(x6211,x6212)+E(f851(x6213,x6211,x6214),f851(x6213,x6212,x6214)) % 183.16/183.19 [622]~E(x6221,x6222)+E(f851(x6223,x6224,x6221),f851(x6223,x6224,x6222)) % 183.16/183.19 [623]~E(x6231,x6232)+E(f523(x6231,x6233,x6234,x6235),f523(x6232,x6233,x6234,x6235)) % 183.16/183.19 [624]~E(x6241,x6242)+E(f523(x6243,x6241,x6244,x6245),f523(x6243,x6242,x6244,x6245)) % 183.16/183.19 [625]~E(x6251,x6252)+E(f523(x6253,x6254,x6251,x6255),f523(x6253,x6254,x6252,x6255)) % 183.16/183.19 [626]~E(x6261,x6262)+E(f523(x6263,x6264,x6265,x6261),f523(x6263,x6264,x6265,x6262)) % 183.16/183.19 [627]~E(x6271,x6272)+E(f615(x6271,x6273,x6274),f615(x6272,x6273,x6274)) % 183.16/183.19 [628]~E(x6281,x6282)+E(f615(x6283,x6281,x6284),f615(x6283,x6282,x6284)) % 183.16/183.19 [629]~E(x6291,x6292)+E(f615(x6293,x6294,x6291),f615(x6293,x6294,x6292)) % 183.16/183.19 [630]~E(x6301,x6302)+E(f172(x6301,x6303,x6304),f172(x6302,x6303,x6304)) % 183.16/183.19 [631]~E(x6311,x6312)+E(f172(x6313,x6311,x6314),f172(x6313,x6312,x6314)) % 183.16/183.19 [632]~E(x6321,x6322)+E(f172(x6323,x6324,x6321),f172(x6323,x6324,x6322)) % 183.16/183.19 [633]~E(x6331,x6332)+E(f632(x6331,x6333),f632(x6332,x6333)) % 183.16/183.19 [634]~E(x6341,x6342)+E(f632(x6343,x6341),f632(x6343,x6342)) % 183.16/183.19 [635]~E(x6351,x6352)+E(f361(x6351,x6353,x6354),f361(x6352,x6353,x6354)) % 183.16/183.19 [636]~E(x6361,x6362)+E(f361(x6363,x6361,x6364),f361(x6363,x6362,x6364)) % 183.16/183.19 [637]~E(x6371,x6372)+E(f361(x6373,x6374,x6371),f361(x6373,x6374,x6372)) % 183.16/183.19 [638]~E(x6381,x6382)+E(f645(x6381,x6383,x6384,x6385,x6386),f645(x6382,x6383,x6384,x6385,x6386)) % 183.16/183.19 [639]~E(x6391,x6392)+E(f645(x6393,x6391,x6394,x6395,x6396),f645(x6393,x6392,x6394,x6395,x6396)) % 183.16/183.19 [640]~E(x6401,x6402)+E(f645(x6403,x6404,x6401,x6405,x6406),f645(x6403,x6404,x6402,x6405,x6406)) % 183.16/183.19 [641]~E(x6411,x6412)+E(f645(x6413,x6414,x6415,x6411,x6416),f645(x6413,x6414,x6415,x6412,x6416)) % 183.16/183.19 [642]~E(x6421,x6422)+E(f645(x6423,x6424,x6425,x6426,x6421),f645(x6423,x6424,x6425,x6426,x6422)) % 183.16/183.19 [643]~E(x6431,x6432)+E(f81(x6431,x6433),f81(x6432,x6433)) % 183.16/183.19 [644]~E(x6441,x6442)+E(f81(x6443,x6441),f81(x6443,x6442)) % 183.16/183.19 [645]~E(x6451,x6452)+E(f578(x6451,x6453,x6454,x6455),f578(x6452,x6453,x6454,x6455)) % 183.16/183.19 [646]~E(x6461,x6462)+E(f578(x6463,x6461,x6464,x6465),f578(x6463,x6462,x6464,x6465)) % 183.16/183.19 [647]~E(x6471,x6472)+E(f578(x6473,x6474,x6471,x6475),f578(x6473,x6474,x6472,x6475)) % 183.16/183.19 [648]~E(x6481,x6482)+E(f578(x6483,x6484,x6485,x6481),f578(x6483,x6484,x6485,x6482)) % 183.16/183.19 [649]~E(x6491,x6492)+E(f76(x6491,x6493,x6494,x6495),f76(x6492,x6493,x6494,x6495)) % 183.16/183.19 [650]~E(x6501,x6502)+E(f76(x6503,x6501,x6504,x6505),f76(x6503,x6502,x6504,x6505)) % 183.16/183.19 [651]~E(x6511,x6512)+E(f76(x6513,x6514,x6511,x6515),f76(x6513,x6514,x6512,x6515)) % 183.16/183.19 [652]~E(x6521,x6522)+E(f76(x6523,x6524,x6525,x6521),f76(x6523,x6524,x6525,x6522)) % 183.16/183.19 [653]~E(x6531,x6532)+E(f807(x6531,x6533,x6534),f807(x6532,x6533,x6534)) % 183.16/183.19 [654]~E(x6541,x6542)+E(f807(x6543,x6541,x6544),f807(x6543,x6542,x6544)) % 183.16/183.19 [655]~E(x6551,x6552)+E(f807(x6553,x6554,x6551),f807(x6553,x6554,x6552)) % 183.16/183.19 [656]~E(x6561,x6562)+E(f659(x6561,x6563,x6564,x6565),f659(x6562,x6563,x6564,x6565)) % 183.16/183.19 [657]~E(x6571,x6572)+E(f659(x6573,x6571,x6574,x6575),f659(x6573,x6572,x6574,x6575)) % 183.16/183.19 [658]~E(x6581,x6582)+E(f659(x6583,x6584,x6581,x6585),f659(x6583,x6584,x6582,x6585)) % 183.16/183.19 [659]~E(x6591,x6592)+E(f659(x6593,x6594,x6595,x6591),f659(x6593,x6594,x6595,x6592)) % 183.16/183.19 [660]~E(x6601,x6602)+E(f818(x6601,x6603,x6604),f818(x6602,x6603,x6604)) % 183.16/183.19 [661]~E(x6611,x6612)+E(f818(x6613,x6611,x6614),f818(x6613,x6612,x6614)) % 183.16/183.19 [662]~E(x6621,x6622)+E(f818(x6623,x6624,x6621),f818(x6623,x6624,x6622)) % 183.16/183.19 [663]~E(x6631,x6632)+E(f168(x6631,x6633,x6634),f168(x6632,x6633,x6634)) % 183.16/183.19 [664]~E(x6641,x6642)+E(f168(x6643,x6641,x6644),f168(x6643,x6642,x6644)) % 183.16/183.19 [665]~E(x6651,x6652)+E(f168(x6653,x6654,x6651),f168(x6653,x6654,x6652)) % 183.16/183.19 [666]~E(x6661,x6662)+E(f766(x6661,x6663),f766(x6662,x6663)) % 183.16/183.19 [667]~E(x6671,x6672)+E(f766(x6673,x6671),f766(x6673,x6672)) % 183.16/183.19 [668]~E(x6681,x6682)+E(f647(x6681,x6683,x6684,x6685,x6686),f647(x6682,x6683,x6684,x6685,x6686)) % 183.16/183.19 [669]~E(x6691,x6692)+E(f647(x6693,x6691,x6694,x6695,x6696),f647(x6693,x6692,x6694,x6695,x6696)) % 183.16/183.19 [670]~E(x6701,x6702)+E(f647(x6703,x6704,x6701,x6705,x6706),f647(x6703,x6704,x6702,x6705,x6706)) % 183.16/183.19 [671]~E(x6711,x6712)+E(f647(x6713,x6714,x6715,x6711,x6716),f647(x6713,x6714,x6715,x6712,x6716)) % 183.16/183.19 [672]~E(x6721,x6722)+E(f647(x6723,x6724,x6725,x6726,x6721),f647(x6723,x6724,x6725,x6726,x6722)) % 183.16/183.19 [673]~E(x6731,x6732)+E(f242(x6731,x6733,x6734,x6735),f242(x6732,x6733,x6734,x6735)) % 183.16/183.19 [674]~E(x6741,x6742)+E(f242(x6743,x6741,x6744,x6745),f242(x6743,x6742,x6744,x6745)) % 183.16/183.19 [675]~E(x6751,x6752)+E(f242(x6753,x6754,x6751,x6755),f242(x6753,x6754,x6752,x6755)) % 183.16/183.19 [676]~E(x6761,x6762)+E(f242(x6763,x6764,x6765,x6761),f242(x6763,x6764,x6765,x6762)) % 183.16/183.19 [677]~E(x6771,x6772)+E(f858(x6771,x6773,x6774),f858(x6772,x6773,x6774)) % 183.16/183.19 [678]~E(x6781,x6782)+E(f858(x6783,x6781,x6784),f858(x6783,x6782,x6784)) % 183.16/183.19 [679]~E(x6791,x6792)+E(f858(x6793,x6794,x6791),f858(x6793,x6794,x6792)) % 183.16/183.19 [680]~E(x6801,x6802)+E(f161(x6801,x6803),f161(x6802,x6803)) % 183.16/183.19 [681]~E(x6811,x6812)+E(f161(x6813,x6811),f161(x6813,x6812)) % 183.16/183.19 [682]~E(x6821,x6822)+E(f785(x6821,x6823,x6824,x6825,x6826),f785(x6822,x6823,x6824,x6825,x6826)) % 183.16/183.19 [683]~E(x6831,x6832)+E(f785(x6833,x6831,x6834,x6835,x6836),f785(x6833,x6832,x6834,x6835,x6836)) % 183.16/183.19 [684]~E(x6841,x6842)+E(f785(x6843,x6844,x6841,x6845,x6846),f785(x6843,x6844,x6842,x6845,x6846)) % 183.16/183.19 [685]~E(x6851,x6852)+E(f785(x6853,x6854,x6855,x6851,x6856),f785(x6853,x6854,x6855,x6852,x6856)) % 183.16/183.19 [686]~E(x6861,x6862)+E(f785(x6863,x6864,x6865,x6866,x6861),f785(x6863,x6864,x6865,x6866,x6862)) % 183.16/183.19 [687]~E(x6871,x6872)+E(f145(x6871,x6873),f145(x6872,x6873)) % 183.16/183.19 [688]~E(x6881,x6882)+E(f145(x6883,x6881),f145(x6883,x6882)) % 183.16/183.19 [689]~E(x6891,x6892)+E(f574(x6891,x6893,x6894,x6895),f574(x6892,x6893,x6894,x6895)) % 183.16/183.19 [690]~E(x6901,x6902)+E(f574(x6903,x6901,x6904,x6905),f574(x6903,x6902,x6904,x6905)) % 183.16/183.19 [691]~E(x6911,x6912)+E(f574(x6913,x6914,x6911,x6915),f574(x6913,x6914,x6912,x6915)) % 183.16/183.19 [692]~E(x6921,x6922)+E(f574(x6923,x6924,x6925,x6921),f574(x6923,x6924,x6925,x6922)) % 183.16/183.19 [693]~E(x6931,x6932)+E(f217(x6931,x6933,x6934,x6935),f217(x6932,x6933,x6934,x6935)) % 183.16/183.19 [694]~E(x6941,x6942)+E(f217(x6943,x6941,x6944,x6945),f217(x6943,x6942,x6944,x6945)) % 183.16/183.19 [695]~E(x6951,x6952)+E(f217(x6953,x6954,x6951,x6955),f217(x6953,x6954,x6952,x6955)) % 183.16/183.19 [696]~E(x6961,x6962)+E(f217(x6963,x6964,x6965,x6961),f217(x6963,x6964,x6965,x6962)) % 183.16/183.19 [697]~E(x6971,x6972)+E(f823(x6971,x6973,x6974),f823(x6972,x6973,x6974)) % 183.16/183.19 [698]~E(x6981,x6982)+E(f823(x6983,x6981,x6984),f823(x6983,x6982,x6984)) % 183.16/183.19 [699]~E(x6991,x6992)+E(f823(x6993,x6994,x6991),f823(x6993,x6994,x6992)) % 183.16/183.19 [700]~E(x7001,x7002)+E(f150(x7001,x7003,x7004,x7005,x7006),f150(x7002,x7003,x7004,x7005,x7006)) % 183.16/183.19 [701]~E(x7011,x7012)+E(f150(x7013,x7011,x7014,x7015,x7016),f150(x7013,x7012,x7014,x7015,x7016)) % 183.16/183.19 [702]~E(x7021,x7022)+E(f150(x7023,x7024,x7021,x7025,x7026),f150(x7023,x7024,x7022,x7025,x7026)) % 183.16/183.19 [703]~E(x7031,x7032)+E(f150(x7033,x7034,x7035,x7031,x7036),f150(x7033,x7034,x7035,x7032,x7036)) % 183.16/183.19 [704]~E(x7041,x7042)+E(f150(x7043,x7044,x7045,x7046,x7041),f150(x7043,x7044,x7045,x7046,x7042)) % 183.16/183.19 [705]~E(x7051,x7052)+E(f129(x7051),f129(x7052)) % 183.16/183.19 [706]~E(x7061,x7062)+E(f640(x7061,x7063,x7064,x7065,x7066),f640(x7062,x7063,x7064,x7065,x7066)) % 183.16/183.19 [707]~E(x7071,x7072)+E(f640(x7073,x7071,x7074,x7075,x7076),f640(x7073,x7072,x7074,x7075,x7076)) % 183.16/183.19 [708]~E(x7081,x7082)+E(f640(x7083,x7084,x7081,x7085,x7086),f640(x7083,x7084,x7082,x7085,x7086)) % 183.16/183.19 [709]~E(x7091,x7092)+E(f640(x7093,x7094,x7095,x7091,x7096),f640(x7093,x7094,x7095,x7092,x7096)) % 183.16/183.19 [710]~E(x7101,x7102)+E(f640(x7103,x7104,x7105,x7106,x7101),f640(x7103,x7104,x7105,x7106,x7102)) % 183.16/183.19 [711]~E(x7111,x7112)+E(f590(x7111,x7113,x7114),f590(x7112,x7113,x7114)) % 183.16/183.19 [712]~E(x7121,x7122)+E(f590(x7123,x7121,x7124),f590(x7123,x7122,x7124)) % 183.16/183.19 [713]~E(x7131,x7132)+E(f590(x7133,x7134,x7131),f590(x7133,x7134,x7132)) % 183.16/183.19 [714]~E(x7141,x7142)+E(f392(x7141,x7143,x7144),f392(x7142,x7143,x7144)) % 183.16/183.19 [715]~E(x7151,x7152)+E(f392(x7153,x7151,x7154),f392(x7153,x7152,x7154)) % 183.16/183.19 [716]~E(x7161,x7162)+E(f392(x7163,x7164,x7161),f392(x7163,x7164,x7162)) % 183.16/183.19 [717]~E(x7171,x7172)+E(f345(x7171),f345(x7172)) % 183.16/183.19 [718]~E(x7181,x7182)+E(f274(x7181,x7183,x7184,x7185),f274(x7182,x7183,x7184,x7185)) % 183.16/183.19 [719]~E(x7191,x7192)+E(f274(x7193,x7191,x7194,x7195),f274(x7193,x7192,x7194,x7195)) % 183.16/183.19 [720]~E(x7201,x7202)+E(f274(x7203,x7204,x7201,x7205),f274(x7203,x7204,x7202,x7205)) % 183.16/183.19 [721]~E(x7211,x7212)+E(f274(x7213,x7214,x7215,x7211),f274(x7213,x7214,x7215,x7212)) % 183.16/183.19 [722]~E(x7221,x7222)+E(f383(x7221,x7223),f383(x7222,x7223)) % 183.16/183.19 [723]~E(x7231,x7232)+E(f383(x7233,x7231),f383(x7233,x7232)) % 183.16/183.19 [724]~E(x7241,x7242)+E(f121(x7241,x7243,x7244),f121(x7242,x7243,x7244)) % 183.16/183.19 [725]~E(x7251,x7252)+E(f121(x7253,x7251,x7254),f121(x7253,x7252,x7254)) % 183.16/183.19 [726]~E(x7261,x7262)+E(f121(x7263,x7264,x7261),f121(x7263,x7264,x7262)) % 183.16/183.19 [727]~E(x7271,x7272)+E(f491(x7271,x7273),f491(x7272,x7273)) % 183.16/183.19 [728]~E(x7281,x7282)+E(f491(x7283,x7281),f491(x7283,x7282)) % 183.16/183.19 [729]~E(x7291,x7292)+E(f46(x7291,x7293),f46(x7292,x7293)) % 183.16/183.19 [730]~E(x7301,x7302)+E(f46(x7303,x7301),f46(x7303,x7302)) % 183.16/183.19 [731]~E(x7311,x7312)+E(f562(x7311,x7313,x7314,x7315),f562(x7312,x7313,x7314,x7315)) % 183.16/183.19 [732]~E(x7321,x7322)+E(f562(x7323,x7321,x7324,x7325),f562(x7323,x7322,x7324,x7325)) % 183.16/183.19 [733]~E(x7331,x7332)+E(f562(x7333,x7334,x7331,x7335),f562(x7333,x7334,x7332,x7335)) % 183.16/183.19 [734]~E(x7341,x7342)+E(f562(x7343,x7344,x7345,x7341),f562(x7343,x7344,x7345,x7342)) % 183.16/183.19 [735]~E(x7351,x7352)+E(f543(x7351,x7353,x7354,x7355,x7356,x7357,x7358),f543(x7352,x7353,x7354,x7355,x7356,x7357,x7358)) % 183.16/183.19 [736]~E(x7361,x7362)+E(f543(x7363,x7361,x7364,x7365,x7366,x7367,x7368),f543(x7363,x7362,x7364,x7365,x7366,x7367,x7368)) % 183.16/183.19 [737]~E(x7371,x7372)+E(f543(x7373,x7374,x7371,x7375,x7376,x7377,x7378),f543(x7373,x7374,x7372,x7375,x7376,x7377,x7378)) % 183.16/183.19 [738]~E(x7381,x7382)+E(f543(x7383,x7384,x7385,x7381,x7386,x7387,x7388),f543(x7383,x7384,x7385,x7382,x7386,x7387,x7388)) % 183.16/183.19 [739]~E(x7391,x7392)+E(f543(x7393,x7394,x7395,x7396,x7391,x7397,x7398),f543(x7393,x7394,x7395,x7396,x7392,x7397,x7398)) % 183.16/183.19 [740]~E(x7401,x7402)+E(f543(x7403,x7404,x7405,x7406,x7407,x7401,x7408),f543(x7403,x7404,x7405,x7406,x7407,x7402,x7408)) % 183.16/183.19 [741]~E(x7411,x7412)+E(f543(x7413,x7414,x7415,x7416,x7417,x7418,x7411),f543(x7413,x7414,x7415,x7416,x7417,x7418,x7412)) % 183.16/183.19 [742]~E(x7421,x7422)+E(f388(x7421,x7423),f388(x7422,x7423)) % 183.16/183.19 [743]~E(x7431,x7432)+E(f388(x7433,x7431),f388(x7433,x7432)) % 183.16/183.19 [744]~E(x7441,x7442)+E(f404(x7441,x7443),f404(x7442,x7443)) % 183.16/183.19 [745]~E(x7451,x7452)+E(f404(x7453,x7451),f404(x7453,x7452)) % 183.16/183.19 [746]~E(x7461,x7462)+E(f608(x7461,x7463,x7464,x7465,x7466,x7467),f608(x7462,x7463,x7464,x7465,x7466,x7467)) % 183.16/183.19 [747]~E(x7471,x7472)+E(f608(x7473,x7471,x7474,x7475,x7476,x7477),f608(x7473,x7472,x7474,x7475,x7476,x7477)) % 183.16/183.19 [748]~E(x7481,x7482)+E(f608(x7483,x7484,x7481,x7485,x7486,x7487),f608(x7483,x7484,x7482,x7485,x7486,x7487)) % 183.16/183.19 [749]~E(x7491,x7492)+E(f608(x7493,x7494,x7495,x7491,x7496,x7497),f608(x7493,x7494,x7495,x7492,x7496,x7497)) % 183.16/183.19 [750]~E(x7501,x7502)+E(f608(x7503,x7504,x7505,x7506,x7501,x7507),f608(x7503,x7504,x7505,x7506,x7502,x7507)) % 183.16/183.19 [751]~E(x7511,x7512)+E(f608(x7513,x7514,x7515,x7516,x7517,x7511),f608(x7513,x7514,x7515,x7516,x7517,x7512)) % 183.16/183.19 [752]~E(x7521,x7522)+E(f298(x7521,x7523,x7524,x7525,x7526),f298(x7522,x7523,x7524,x7525,x7526)) % 183.16/183.19 [753]~E(x7531,x7532)+E(f298(x7533,x7531,x7534,x7535,x7536),f298(x7533,x7532,x7534,x7535,x7536)) % 183.16/183.19 [754]~E(x7541,x7542)+E(f298(x7543,x7544,x7541,x7545,x7546),f298(x7543,x7544,x7542,x7545,x7546)) % 183.16/183.19 [755]~E(x7551,x7552)+E(f298(x7553,x7554,x7555,x7551,x7556),f298(x7553,x7554,x7555,x7552,x7556)) % 183.16/183.19 [756]~E(x7561,x7562)+E(f298(x7563,x7564,x7565,x7566,x7561),f298(x7563,x7564,x7565,x7566,x7562)) % 183.16/183.19 [757]~E(x7571,x7572)+E(f471(x7571,x7573,x7574),f471(x7572,x7573,x7574)) % 183.16/183.19 [758]~E(x7581,x7582)+E(f471(x7583,x7581,x7584),f471(x7583,x7582,x7584)) % 183.16/183.19 [759]~E(x7591,x7592)+E(f471(x7593,x7594,x7591),f471(x7593,x7594,x7592)) % 183.16/183.19 [760]~E(x7601,x7602)+E(f781(x7601,x7603,x7604,x7605,x7606),f781(x7602,x7603,x7604,x7605,x7606)) % 183.16/183.19 [761]~E(x7611,x7612)+E(f781(x7613,x7611,x7614,x7615,x7616),f781(x7613,x7612,x7614,x7615,x7616)) % 183.16/183.19 [762]~E(x7621,x7622)+E(f781(x7623,x7624,x7621,x7625,x7626),f781(x7623,x7624,x7622,x7625,x7626)) % 183.16/183.19 [763]~E(x7631,x7632)+E(f781(x7633,x7634,x7635,x7631,x7636),f781(x7633,x7634,x7635,x7632,x7636)) % 183.16/183.19 [764]~E(x7641,x7642)+E(f781(x7643,x7644,x7645,x7646,x7641),f781(x7643,x7644,x7645,x7646,x7642)) % 183.16/183.19 [765]~E(x7651,x7652)+E(f593(x7651,x7653,x7654),f593(x7652,x7653,x7654)) % 183.16/183.19 [766]~E(x7661,x7662)+E(f593(x7663,x7661,x7664),f593(x7663,x7662,x7664)) % 183.16/183.19 [767]~E(x7671,x7672)+E(f593(x7673,x7674,x7671),f593(x7673,x7674,x7672)) % 183.16/183.19 [768]~E(x7681,x7682)+E(f667(x7681,x7683,x7684),f667(x7682,x7683,x7684)) % 183.16/183.19 [769]~E(x7691,x7692)+E(f667(x7693,x7691,x7694),f667(x7693,x7692,x7694)) % 183.16/183.19 [770]~E(x7701,x7702)+E(f667(x7703,x7704,x7701),f667(x7703,x7704,x7702)) % 183.16/183.19 [771]~E(x7711,x7712)+E(f801(x7711,x7713,x7714),f801(x7712,x7713,x7714)) % 183.16/183.19 [772]~E(x7721,x7722)+E(f801(x7723,x7721,x7724),f801(x7723,x7722,x7724)) % 183.16/183.19 [773]~E(x7731,x7732)+E(f801(x7733,x7734,x7731),f801(x7733,x7734,x7732)) % 183.16/183.19 [774]~E(x7741,x7742)+E(f737(x7741,x7743,x7744,x7745,x7746),f737(x7742,x7743,x7744,x7745,x7746)) % 183.16/183.19 [775]~E(x7751,x7752)+E(f737(x7753,x7751,x7754,x7755,x7756),f737(x7753,x7752,x7754,x7755,x7756)) % 183.16/183.19 [776]~E(x7761,x7762)+E(f737(x7763,x7764,x7761,x7765,x7766),f737(x7763,x7764,x7762,x7765,x7766)) % 183.16/183.19 [777]~E(x7771,x7772)+E(f737(x7773,x7774,x7775,x7771,x7776),f737(x7773,x7774,x7775,x7772,x7776)) % 183.16/183.19 [778]~E(x7781,x7782)+E(f737(x7783,x7784,x7785,x7786,x7781),f737(x7783,x7784,x7785,x7786,x7782)) % 183.16/183.19 [779]~E(x7791,x7792)+E(f573(x7791,x7793,x7794,x7795),f573(x7792,x7793,x7794,x7795)) % 183.16/183.19 [780]~E(x7801,x7802)+E(f573(x7803,x7801,x7804,x7805),f573(x7803,x7802,x7804,x7805)) % 183.16/183.19 [781]~E(x7811,x7812)+E(f573(x7813,x7814,x7811,x7815),f573(x7813,x7814,x7812,x7815)) % 183.16/183.19 [782]~E(x7821,x7822)+E(f573(x7823,x7824,x7825,x7821),f573(x7823,x7824,x7825,x7822)) % 183.16/183.19 [783]~E(x7831,x7832)+E(f261(x7831,x7833),f261(x7832,x7833)) % 183.16/183.19 [784]~E(x7841,x7842)+E(f261(x7843,x7841),f261(x7843,x7842)) % 183.16/183.19 [785]~E(x7851,x7852)+E(f680(x7851,x7853,x7854,x7855),f680(x7852,x7853,x7854,x7855)) % 183.16/183.19 [786]~E(x7861,x7862)+E(f680(x7863,x7861,x7864,x7865),f680(x7863,x7862,x7864,x7865)) % 183.16/183.19 [787]~E(x7871,x7872)+E(f680(x7873,x7874,x7871,x7875),f680(x7873,x7874,x7872,x7875)) % 183.16/183.19 [788]~E(x7881,x7882)+E(f680(x7883,x7884,x7885,x7881),f680(x7883,x7884,x7885,x7882)) % 183.16/183.19 [789]~E(x7891,x7892)+E(f838(x7891,x7893,x7894,x7895,x7896),f838(x7892,x7893,x7894,x7895,x7896)) % 183.16/183.19 [790]~E(x7901,x7902)+E(f838(x7903,x7901,x7904,x7905,x7906),f838(x7903,x7902,x7904,x7905,x7906)) % 183.16/183.19 [791]~E(x7911,x7912)+E(f838(x7913,x7914,x7911,x7915,x7916),f838(x7913,x7914,x7912,x7915,x7916)) % 183.16/183.19 [792]~E(x7921,x7922)+E(f838(x7923,x7924,x7925,x7921,x7926),f838(x7923,x7924,x7925,x7922,x7926)) % 183.16/183.19 [793]~E(x7931,x7932)+E(f838(x7933,x7934,x7935,x7936,x7931),f838(x7933,x7934,x7935,x7936,x7932)) % 183.16/183.19 [794]~E(x7941,x7942)+E(f426(x7941,x7943,x7944,x7945),f426(x7942,x7943,x7944,x7945)) % 183.16/183.19 [795]~E(x7951,x7952)+E(f426(x7953,x7951,x7954,x7955),f426(x7953,x7952,x7954,x7955)) % 183.16/183.19 [796]~E(x7961,x7962)+E(f426(x7963,x7964,x7961,x7965),f426(x7963,x7964,x7962,x7965)) % 183.16/183.19 [797]~E(x7971,x7972)+E(f426(x7973,x7974,x7975,x7971),f426(x7973,x7974,x7975,x7972)) % 183.16/183.19 [798]~E(x7981,x7982)+E(f206(x7981,x7983,x7984,x7985),f206(x7982,x7983,x7984,x7985)) % 183.16/183.19 [799]~E(x7991,x7992)+E(f206(x7993,x7991,x7994,x7995),f206(x7993,x7992,x7994,x7995)) % 183.16/183.19 [800]~E(x8001,x8002)+E(f206(x8003,x8004,x8001,x8005),f206(x8003,x8004,x8002,x8005)) % 183.16/183.19 [801]~E(x8011,x8012)+E(f206(x8013,x8014,x8015,x8011),f206(x8013,x8014,x8015,x8012)) % 183.16/183.19 [802]~E(x8021,x8022)+E(f529(x8021,x8023,x8024,x8025),f529(x8022,x8023,x8024,x8025)) % 183.16/183.19 [803]~E(x8031,x8032)+E(f529(x8033,x8031,x8034,x8035),f529(x8033,x8032,x8034,x8035)) % 183.16/183.19 [804]~E(x8041,x8042)+E(f529(x8043,x8044,x8041,x8045),f529(x8043,x8044,x8042,x8045)) % 183.16/183.19 [805]~E(x8051,x8052)+E(f529(x8053,x8054,x8055,x8051),f529(x8053,x8054,x8055,x8052)) % 183.16/183.19 [806]~E(x8061,x8062)+E(f92(x8061,x8063,x8064),f92(x8062,x8063,x8064)) % 183.16/183.19 [807]~E(x8071,x8072)+E(f92(x8073,x8071,x8074),f92(x8073,x8072,x8074)) % 183.16/183.19 [808]~E(x8081,x8082)+E(f92(x8083,x8084,x8081),f92(x8083,x8084,x8082)) % 183.16/183.19 [809]~E(x8091,x8092)+E(f363(x8091,x8093,x8094),f363(x8092,x8093,x8094)) % 183.16/183.19 [810]~E(x8101,x8102)+E(f363(x8103,x8101,x8104),f363(x8103,x8102,x8104)) % 183.16/183.19 [811]~E(x8111,x8112)+E(f363(x8113,x8114,x8111),f363(x8113,x8114,x8112)) % 183.16/183.19 [812]~E(x8121,x8122)+E(f808(x8121,x8123,x8124),f808(x8122,x8123,x8124)) % 183.16/183.19 [813]~E(x8131,x8132)+E(f808(x8133,x8131,x8134),f808(x8133,x8132,x8134)) % 183.16/183.19 [814]~E(x8141,x8142)+E(f808(x8143,x8144,x8141),f808(x8143,x8144,x8142)) % 183.16/183.19 [815]~E(x8151,x8152)+E(f655(x8151,x8153,x8154),f655(x8152,x8153,x8154)) % 183.16/183.19 [816]~E(x8161,x8162)+E(f655(x8163,x8161,x8164),f655(x8163,x8162,x8164)) % 183.16/183.19 [817]~E(x8171,x8172)+E(f655(x8173,x8174,x8171),f655(x8173,x8174,x8172)) % 183.16/183.19 [818]~E(x8181,x8182)+E(f498(x8181,x8183,x8184,x8185,x8186),f498(x8182,x8183,x8184,x8185,x8186)) % 183.16/183.19 [819]~E(x8191,x8192)+E(f498(x8193,x8191,x8194,x8195,x8196),f498(x8193,x8192,x8194,x8195,x8196)) % 183.16/183.19 [820]~E(x8201,x8202)+E(f498(x8203,x8204,x8201,x8205,x8206),f498(x8203,x8204,x8202,x8205,x8206)) % 183.16/183.19 [821]~E(x8211,x8212)+E(f498(x8213,x8214,x8215,x8211,x8216),f498(x8213,x8214,x8215,x8212,x8216)) % 183.16/183.19 [822]~E(x8221,x8222)+E(f498(x8223,x8224,x8225,x8226,x8221),f498(x8223,x8224,x8225,x8226,x8222)) % 183.16/183.19 [823]~E(x8231,x8232)+E(f689(x8231,x8233,x8234,x8235),f689(x8232,x8233,x8234,x8235)) % 183.16/183.19 [824]~E(x8241,x8242)+E(f689(x8243,x8241,x8244,x8245),f689(x8243,x8242,x8244,x8245)) % 183.16/183.19 [825]~E(x8251,x8252)+E(f689(x8253,x8254,x8251,x8255),f689(x8253,x8254,x8252,x8255)) % 183.16/183.19 [826]~E(x8261,x8262)+E(f689(x8263,x8264,x8265,x8261),f689(x8263,x8264,x8265,x8262)) % 183.16/183.19 [827]~E(x8271,x8272)+E(f492(x8271,x8273),f492(x8272,x8273)) % 183.16/183.19 [828]~E(x8281,x8282)+E(f492(x8283,x8281),f492(x8283,x8282)) % 183.16/183.19 [829]~E(x8291,x8292)+E(f738(x8291,x8293,x8294,x8295,x8296),f738(x8292,x8293,x8294,x8295,x8296)) % 183.16/183.19 [830]~E(x8301,x8302)+E(f738(x8303,x8301,x8304,x8305,x8306),f738(x8303,x8302,x8304,x8305,x8306)) % 183.16/183.19 [831]~E(x8311,x8312)+E(f738(x8313,x8314,x8311,x8315,x8316),f738(x8313,x8314,x8312,x8315,x8316)) % 183.16/183.19 [832]~E(x8321,x8322)+E(f738(x8323,x8324,x8325,x8321,x8326),f738(x8323,x8324,x8325,x8322,x8326)) % 183.16/183.19 [833]~E(x8331,x8332)+E(f738(x8333,x8334,x8335,x8336,x8331),f738(x8333,x8334,x8335,x8336,x8332)) % 183.16/183.19 [834]~E(x8341,x8342)+E(f156(x8341,x8343,x8344),f156(x8342,x8343,x8344)) % 183.16/183.19 [835]~E(x8351,x8352)+E(f156(x8353,x8351,x8354),f156(x8353,x8352,x8354)) % 183.16/183.19 [836]~E(x8361,x8362)+E(f156(x8363,x8364,x8361),f156(x8363,x8364,x8362)) % 183.16/183.19 [837]~E(x8371,x8372)+E(f522(x8371,x8373,x8374),f522(x8372,x8373,x8374)) % 183.16/183.19 [838]~E(x8381,x8382)+E(f522(x8383,x8381,x8384),f522(x8383,x8382,x8384)) % 183.16/183.19 [839]~E(x8391,x8392)+E(f522(x8393,x8394,x8391),f522(x8393,x8394,x8392)) % 183.16/183.19 [840]~E(x8401,x8402)+E(f374(x8401),f374(x8402)) % 183.16/183.19 [841]~E(x8411,x8412)+E(f364(x8411,x8413,x8414,x8415),f364(x8412,x8413,x8414,x8415)) % 183.16/183.19 [842]~E(x8421,x8422)+E(f364(x8423,x8421,x8424,x8425),f364(x8423,x8422,x8424,x8425)) % 183.16/183.19 [843]~E(x8431,x8432)+E(f364(x8433,x8434,x8431,x8435),f364(x8433,x8434,x8432,x8435)) % 183.16/183.19 [844]~E(x8441,x8442)+E(f364(x8443,x8444,x8445,x8441),f364(x8443,x8444,x8445,x8442)) % 183.16/183.19 [845]~E(x8451,x8452)+E(f362(x8451,x8453,x8454),f362(x8452,x8453,x8454)) % 183.16/183.19 [846]~E(x8461,x8462)+E(f362(x8463,x8461,x8464),f362(x8463,x8462,x8464)) % 183.16/183.19 [847]~E(x8471,x8472)+E(f362(x8473,x8474,x8471),f362(x8473,x8474,x8472)) % 183.16/183.19 [848]~E(x8481,x8482)+E(f658(x8481,x8483,x8484,x8485,x8486),f658(x8482,x8483,x8484,x8485,x8486)) % 183.16/183.19 [849]~E(x8491,x8492)+E(f658(x8493,x8491,x8494,x8495,x8496),f658(x8493,x8492,x8494,x8495,x8496)) % 183.16/183.19 [850]~E(x8501,x8502)+E(f658(x8503,x8504,x8501,x8505,x8506),f658(x8503,x8504,x8502,x8505,x8506)) % 183.16/183.19 [851]~E(x8511,x8512)+E(f658(x8513,x8514,x8515,x8511,x8516),f658(x8513,x8514,x8515,x8512,x8516)) % 183.16/183.19 [852]~E(x8521,x8522)+E(f658(x8523,x8524,x8525,x8526,x8521),f658(x8523,x8524,x8525,x8526,x8522)) % 183.16/183.19 [853]~E(x8531,x8532)+E(f282(x8531,x8533,x8534,x8535),f282(x8532,x8533,x8534,x8535)) % 183.16/183.19 [854]~E(x8541,x8542)+E(f282(x8543,x8541,x8544,x8545),f282(x8543,x8542,x8544,x8545)) % 183.16/183.19 [855]~E(x8551,x8552)+E(f282(x8553,x8554,x8551,x8555),f282(x8553,x8554,x8552,x8555)) % 183.16/183.19 [856]~E(x8561,x8562)+E(f282(x8563,x8564,x8565,x8561),f282(x8563,x8564,x8565,x8562)) % 183.16/183.19 [857]~E(x8571,x8572)+E(f408(x8571,x8573),f408(x8572,x8573)) % 183.16/183.19 [858]~E(x8581,x8582)+E(f408(x8583,x8581),f408(x8583,x8582)) % 183.16/183.19 [859]~E(x8591,x8592)+E(f58(x8591),f58(x8592)) % 183.16/183.19 [860]~E(x8601,x8602)+E(f710(x8601,x8603,x8604,x8605,x8606),f710(x8602,x8603,x8604,x8605,x8606)) % 183.16/183.19 [861]~E(x8611,x8612)+E(f710(x8613,x8611,x8614,x8615,x8616),f710(x8613,x8612,x8614,x8615,x8616)) % 183.16/183.19 [862]~E(x8621,x8622)+E(f710(x8623,x8624,x8621,x8625,x8626),f710(x8623,x8624,x8622,x8625,x8626)) % 183.16/183.19 [863]~E(x8631,x8632)+E(f710(x8633,x8634,x8635,x8631,x8636),f710(x8633,x8634,x8635,x8632,x8636)) % 183.16/183.19 [864]~E(x8641,x8642)+E(f710(x8643,x8644,x8645,x8646,x8641),f710(x8643,x8644,x8645,x8646,x8642)) % 183.16/183.19 [865]~E(x8651,x8652)+E(f814(x8651,x8653,x8654),f814(x8652,x8653,x8654)) % 183.16/183.19 [866]~E(x8661,x8662)+E(f814(x8663,x8661,x8664),f814(x8663,x8662,x8664)) % 183.16/183.19 [867]~E(x8671,x8672)+E(f814(x8673,x8674,x8671),f814(x8673,x8674,x8672)) % 183.16/183.19 [868]~E(x8681,x8682)+E(f198(x8681,x8683,x8684,x8685),f198(x8682,x8683,x8684,x8685)) % 183.16/183.19 [869]~E(x8691,x8692)+E(f198(x8693,x8691,x8694,x8695),f198(x8693,x8692,x8694,x8695)) % 183.16/183.19 [870]~E(x8701,x8702)+E(f198(x8703,x8704,x8701,x8705),f198(x8703,x8704,x8702,x8705)) % 183.16/183.19 [871]~E(x8711,x8712)+E(f198(x8713,x8714,x8715,x8711),f198(x8713,x8714,x8715,x8712)) % 183.16/183.19 [872]~E(x8721,x8722)+E(f704(x8721,x8723,x8724,x8725),f704(x8722,x8723,x8724,x8725)) % 183.16/183.19 [873]~E(x8731,x8732)+E(f704(x8733,x8731,x8734,x8735),f704(x8733,x8732,x8734,x8735)) % 183.16/183.19 [874]~E(x8741,x8742)+E(f704(x8743,x8744,x8741,x8745),f704(x8743,x8744,x8742,x8745)) % 183.16/183.19 [875]~E(x8751,x8752)+E(f704(x8753,x8754,x8755,x8751),f704(x8753,x8754,x8755,x8752)) % 183.16/183.19 [876]~E(x8761,x8762)+E(f62(x8761,x8763,x8764),f62(x8762,x8763,x8764)) % 183.16/183.19 [877]~E(x8771,x8772)+E(f62(x8773,x8771,x8774),f62(x8773,x8772,x8774)) % 183.16/183.19 [878]~E(x8781,x8782)+E(f62(x8783,x8784,x8781),f62(x8783,x8784,x8782)) % 183.16/183.19 [879]~E(x8791,x8792)+E(f200(x8791,x8793),f200(x8792,x8793)) % 183.16/183.19 [880]~E(x8801,x8802)+E(f200(x8803,x8801),f200(x8803,x8802)) % 183.16/183.19 [881]~E(x8811,x8812)+E(f501(x8811,x8813,x8814,x8815),f501(x8812,x8813,x8814,x8815)) % 183.16/183.19 [882]~E(x8821,x8822)+E(f501(x8823,x8821,x8824,x8825),f501(x8823,x8822,x8824,x8825)) % 183.16/183.19 [883]~E(x8831,x8832)+E(f501(x8833,x8834,x8831,x8835),f501(x8833,x8834,x8832,x8835)) % 183.16/183.19 [884]~E(x8841,x8842)+E(f501(x8843,x8844,x8845,x8841),f501(x8843,x8844,x8845,x8842)) % 183.16/183.19 [885]~E(x8851,x8852)+E(f122(x8851,x8853),f122(x8852,x8853)) % 183.16/183.19 [886]~E(x8861,x8862)+E(f122(x8863,x8861),f122(x8863,x8862)) % 183.16/183.19 [887]~E(x8871,x8872)+E(f131(x8871,x8873,x8874,x8875,x8876),f131(x8872,x8873,x8874,x8875,x8876)) % 183.16/183.19 [888]~E(x8881,x8882)+E(f131(x8883,x8881,x8884,x8885,x8886),f131(x8883,x8882,x8884,x8885,x8886)) % 183.16/183.19 [889]~E(x8891,x8892)+E(f131(x8893,x8894,x8891,x8895,x8896),f131(x8893,x8894,x8892,x8895,x8896)) % 183.16/183.19 [890]~E(x8901,x8902)+E(f131(x8903,x8904,x8905,x8901,x8906),f131(x8903,x8904,x8905,x8902,x8906)) % 183.16/183.19 [891]~E(x8911,x8912)+E(f131(x8913,x8914,x8915,x8916,x8911),f131(x8913,x8914,x8915,x8916,x8912)) % 183.16/183.19 [892]~E(x8921,x8922)+E(f322(x8921,x8923),f322(x8922,x8923)) % 183.16/183.19 [893]~E(x8931,x8932)+E(f322(x8933,x8931),f322(x8933,x8932)) % 183.16/183.19 [894]~E(x8941,x8942)+E(f796(x8941,x8943,x8944),f796(x8942,x8943,x8944)) % 183.16/183.19 [895]~E(x8951,x8952)+E(f796(x8953,x8951,x8954),f796(x8953,x8952,x8954)) % 183.16/183.19 [896]~E(x8961,x8962)+E(f796(x8963,x8964,x8961),f796(x8963,x8964,x8962)) % 183.16/183.19 [897]~E(x8971,x8972)+E(f300(x8971,x8973,x8974,x8975),f300(x8972,x8973,x8974,x8975)) % 183.16/183.19 [898]~E(x8981,x8982)+E(f300(x8983,x8981,x8984,x8985),f300(x8983,x8982,x8984,x8985)) % 183.16/183.19 [899]~E(x8991,x8992)+E(f300(x8993,x8994,x8991,x8995),f300(x8993,x8994,x8992,x8995)) % 183.16/183.19 [900]~E(x9001,x9002)+E(f300(x9003,x9004,x9005,x9001),f300(x9003,x9004,x9005,x9002)) % 183.16/183.19 [901]~E(x9011,x9012)+E(f848(x9011,x9013,x9014),f848(x9012,x9013,x9014)) % 183.16/183.19 [902]~E(x9021,x9022)+E(f848(x9023,x9021,x9024),f848(x9023,x9022,x9024)) % 183.16/183.19 [903]~E(x9031,x9032)+E(f848(x9033,x9034,x9031),f848(x9033,x9034,x9032)) % 183.16/183.19 [904]~E(x9041,x9042)+E(f496(x9041,x9043,x9044,x9045),f496(x9042,x9043,x9044,x9045)) % 183.16/183.19 [905]~E(x9051,x9052)+E(f496(x9053,x9051,x9054,x9055),f496(x9053,x9052,x9054,x9055)) % 183.16/183.19 [906]~E(x9061,x9062)+E(f496(x9063,x9064,x9061,x9065),f496(x9063,x9064,x9062,x9065)) % 183.16/183.19 [907]~E(x9071,x9072)+E(f496(x9073,x9074,x9075,x9071),f496(x9073,x9074,x9075,x9072)) % 183.16/183.19 [908]~E(x9081,x9082)+E(f133(x9081,x9083),f133(x9082,x9083)) % 183.16/183.19 [909]~E(x9091,x9092)+E(f133(x9093,x9091),f133(x9093,x9092)) % 183.16/183.19 [910]~E(x9101,x9102)+E(f779(x9101,x9103,x9104,x9105),f779(x9102,x9103,x9104,x9105)) % 183.16/183.19 [911]~E(x9111,x9112)+E(f779(x9113,x9111,x9114,x9115),f779(x9113,x9112,x9114,x9115)) % 183.16/183.19 [912]~E(x9121,x9122)+E(f779(x9123,x9124,x9121,x9125),f779(x9123,x9124,x9122,x9125)) % 183.16/183.19 [913]~E(x9131,x9132)+E(f779(x9133,x9134,x9135,x9131),f779(x9133,x9134,x9135,x9132)) % 183.16/183.19 [914]~E(x9141,x9142)+E(f634(x9141,x9143),f634(x9142,x9143)) % 183.16/183.19 [915]~E(x9151,x9152)+E(f634(x9153,x9151),f634(x9153,x9152)) % 183.16/183.19 [916]~E(x9161,x9162)+E(f819(x9161,x9163,x9164),f819(x9162,x9163,x9164)) % 183.16/183.19 [917]~E(x9171,x9172)+E(f819(x9173,x9171,x9174),f819(x9173,x9172,x9174)) % 183.16/183.19 [918]~E(x9181,x9182)+E(f819(x9183,x9184,x9181),f819(x9183,x9184,x9182)) % 183.16/183.19 [919]~E(x9191,x9192)+E(f745(x9191,x9193,x9194),f745(x9192,x9193,x9194)) % 183.16/183.19 [920]~E(x9201,x9202)+E(f745(x9203,x9201,x9204),f745(x9203,x9202,x9204)) % 183.16/183.19 [921]~E(x9211,x9212)+E(f745(x9213,x9214,x9211),f745(x9213,x9214,x9212)) % 183.16/183.19 [922]~E(x9221,x9222)+E(f419(x9221,x9223,x9224),f419(x9222,x9223,x9224)) % 183.16/183.19 [923]~E(x9231,x9232)+E(f419(x9233,x9231,x9234),f419(x9233,x9232,x9234)) % 183.16/183.19 [924]~E(x9241,x9242)+E(f419(x9243,x9244,x9241),f419(x9243,x9244,x9242)) % 183.16/183.19 [925]~E(x9251,x9252)+E(f489(x9251,x9253,x9254),f489(x9252,x9253,x9254)) % 183.16/183.19 [926]~E(x9261,x9262)+E(f489(x9263,x9261,x9264),f489(x9263,x9262,x9264)) % 183.16/183.19 [927]~E(x9271,x9272)+E(f489(x9273,x9274,x9271),f489(x9273,x9274,x9272)) % 183.16/183.19 [928]~E(x9281,x9282)+E(f802(x9281,x9283,x9284,x9285),f802(x9282,x9283,x9284,x9285)) % 183.16/183.19 [929]~E(x9291,x9292)+E(f802(x9293,x9291,x9294,x9295),f802(x9293,x9292,x9294,x9295)) % 183.16/183.19 [930]~E(x9301,x9302)+E(f802(x9303,x9304,x9301,x9305),f802(x9303,x9304,x9302,x9305)) % 183.16/183.19 [931]~E(x9311,x9312)+E(f802(x9313,x9314,x9315,x9311),f802(x9313,x9314,x9315,x9312)) % 183.16/183.19 [932]~E(x9321,x9322)+E(f739(x9321,x9323,x9324,x9325,x9326,x9327,x9328),f739(x9322,x9323,x9324,x9325,x9326,x9327,x9328)) % 183.16/183.19 [933]~E(x9331,x9332)+E(f739(x9333,x9331,x9334,x9335,x9336,x9337,x9338),f739(x9333,x9332,x9334,x9335,x9336,x9337,x9338)) % 183.16/183.19 [934]~E(x9341,x9342)+E(f739(x9343,x9344,x9341,x9345,x9346,x9347,x9348),f739(x9343,x9344,x9342,x9345,x9346,x9347,x9348)) % 183.16/183.19 [935]~E(x9351,x9352)+E(f739(x9353,x9354,x9355,x9351,x9356,x9357,x9358),f739(x9353,x9354,x9355,x9352,x9356,x9357,x9358)) % 183.16/183.19 [936]~E(x9361,x9362)+E(f739(x9363,x9364,x9365,x9366,x9361,x9367,x9368),f739(x9363,x9364,x9365,x9366,x9362,x9367,x9368)) % 183.16/183.19 [937]~E(x9371,x9372)+E(f739(x9373,x9374,x9375,x9376,x9377,x9371,x9378),f739(x9373,x9374,x9375,x9376,x9377,x9372,x9378)) % 183.16/183.19 [938]~E(x9381,x9382)+E(f739(x9383,x9384,x9385,x9386,x9387,x9388,x9381),f739(x9383,x9384,x9385,x9386,x9387,x9388,x9382)) % 183.16/183.19 [939]~E(x9391,x9392)+E(f93(x9391),f93(x9392)) % 183.16/183.19 [940]~E(x9401,x9402)+E(f356(x9401,x9403,x9404,x9405),f356(x9402,x9403,x9404,x9405)) % 183.16/183.19 [941]~E(x9411,x9412)+E(f356(x9413,x9411,x9414,x9415),f356(x9413,x9412,x9414,x9415)) % 183.16/183.19 [942]~E(x9421,x9422)+E(f356(x9423,x9424,x9421,x9425),f356(x9423,x9424,x9422,x9425)) % 183.16/183.19 [943]~E(x9431,x9432)+E(f356(x9433,x9434,x9435,x9431),f356(x9433,x9434,x9435,x9432)) % 183.16/183.19 [944]~E(x9441,x9442)+E(f384(x9441,x9443),f384(x9442,x9443)) % 183.16/183.19 [945]~E(x9451,x9452)+E(f384(x9453,x9451),f384(x9453,x9452)) % 183.16/183.19 [946]~E(x9461,x9462)+E(f280(x9461,x9463),f280(x9462,x9463)) % 183.16/183.19 [947]~E(x9471,x9472)+E(f280(x9473,x9471),f280(x9473,x9472)) % 183.16/183.19 [948]~E(x9481,x9482)+E(f673(x9481,x9483,x9484,x9485,x9486),f673(x9482,x9483,x9484,x9485,x9486)) % 183.16/183.19 [949]~E(x9491,x9492)+E(f673(x9493,x9491,x9494,x9495,x9496),f673(x9493,x9492,x9494,x9495,x9496)) % 183.16/183.19 [950]~E(x9501,x9502)+E(f673(x9503,x9504,x9501,x9505,x9506),f673(x9503,x9504,x9502,x9505,x9506)) % 183.16/183.19 [951]~E(x9511,x9512)+E(f673(x9513,x9514,x9515,x9511,x9516),f673(x9513,x9514,x9515,x9512,x9516)) % 183.16/183.19 [952]~E(x9521,x9522)+E(f673(x9523,x9524,x9525,x9526,x9521),f673(x9523,x9524,x9525,x9526,x9522)) % 183.16/183.19 [953]~E(x9531,x9532)+E(f286(x9531),f286(x9532)) % 183.16/183.19 [954]~E(x9541,x9542)+E(f87(x9541),f87(x9542)) % 183.16/183.19 [955]~E(x9551,x9552)+E(f663(x9551,x9553,x9554,x9555,x9556,x9557),f663(x9552,x9553,x9554,x9555,x9556,x9557)) % 183.16/183.19 [956]~E(x9561,x9562)+E(f663(x9563,x9561,x9564,x9565,x9566,x9567),f663(x9563,x9562,x9564,x9565,x9566,x9567)) % 183.16/183.19 [957]~E(x9571,x9572)+E(f663(x9573,x9574,x9571,x9575,x9576,x9577),f663(x9573,x9574,x9572,x9575,x9576,x9577)) % 183.16/183.19 [958]~E(x9581,x9582)+E(f663(x9583,x9584,x9585,x9581,x9586,x9587),f663(x9583,x9584,x9585,x9582,x9586,x9587)) % 183.16/183.19 [959]~E(x9591,x9592)+E(f663(x9593,x9594,x9595,x9596,x9591,x9597),f663(x9593,x9594,x9595,x9596,x9592,x9597)) % 183.16/183.19 [960]~E(x9601,x9602)+E(f663(x9603,x9604,x9605,x9606,x9607,x9601),f663(x9603,x9604,x9605,x9606,x9607,x9602)) % 183.16/183.19 [961]~E(x9611,x9612)+E(f17(x9611,x9613,x9614,x9615),f17(x9612,x9613,x9614,x9615)) % 183.16/183.19 [962]~E(x9621,x9622)+E(f17(x9623,x9621,x9624,x9625),f17(x9623,x9622,x9624,x9625)) % 183.16/183.19 [963]~E(x9631,x9632)+E(f17(x9633,x9634,x9631,x9635),f17(x9633,x9634,x9632,x9635)) % 183.16/183.19 [964]~E(x9641,x9642)+E(f17(x9643,x9644,x9645,x9641),f17(x9643,x9644,x9645,x9642)) % 183.16/183.19 [965]~E(x9651,x9652)+E(f424(x9651,x9653,x9654,x9655),f424(x9652,x9653,x9654,x9655)) % 183.16/183.19 [966]~E(x9661,x9662)+E(f424(x9663,x9661,x9664,x9665),f424(x9663,x9662,x9664,x9665)) % 183.16/183.19 [967]~E(x9671,x9672)+E(f424(x9673,x9674,x9671,x9675),f424(x9673,x9674,x9672,x9675)) % 183.16/183.19 [968]~E(x9681,x9682)+E(f424(x9683,x9684,x9685,x9681),f424(x9683,x9684,x9685,x9682)) % 183.16/183.19 [969]~E(x9691,x9692)+E(f867(x9691,x9693,x9694,x9695,x9696),f867(x9692,x9693,x9694,x9695,x9696)) % 183.16/183.19 [970]~E(x9701,x9702)+E(f867(x9703,x9701,x9704,x9705,x9706),f867(x9703,x9702,x9704,x9705,x9706)) % 183.16/183.19 [971]~E(x9711,x9712)+E(f867(x9713,x9714,x9711,x9715,x9716),f867(x9713,x9714,x9712,x9715,x9716)) % 183.16/183.19 [972]~E(x9721,x9722)+E(f867(x9723,x9724,x9725,x9721,x9726),f867(x9723,x9724,x9725,x9722,x9726)) % 183.16/183.19 [973]~E(x9731,x9732)+E(f867(x9733,x9734,x9735,x9736,x9731),f867(x9733,x9734,x9735,x9736,x9732)) % 183.16/183.19 [974]~E(x9741,x9742)+E(f760(x9741,x9743),f760(x9742,x9743)) % 183.16/183.19 [975]~E(x9751,x9752)+E(f760(x9753,x9751),f760(x9753,x9752)) % 183.16/183.19 [976]~E(x9761,x9762)+E(f700(x9761,x9763,x9764,x9765,x9766),f700(x9762,x9763,x9764,x9765,x9766)) % 183.16/183.19 [977]~E(x9771,x9772)+E(f700(x9773,x9771,x9774,x9775,x9776),f700(x9773,x9772,x9774,x9775,x9776)) % 183.16/183.19 [978]~E(x9781,x9782)+E(f700(x9783,x9784,x9781,x9785,x9786),f700(x9783,x9784,x9782,x9785,x9786)) % 183.16/183.19 [979]~E(x9791,x9792)+E(f700(x9793,x9794,x9795,x9791,x9796),f700(x9793,x9794,x9795,x9792,x9796)) % 183.16/183.19 [980]~E(x9801,x9802)+E(f700(x9803,x9804,x9805,x9806,x9801),f700(x9803,x9804,x9805,x9806,x9802)) % 183.16/183.19 [981]~E(x9811,x9812)+E(f859(x9811,x9813,x9814,x9815,x9816,x9817,x9818,x9819),f859(x9812,x9813,x9814,x9815,x9816,x9817,x9818,x9819)) % 183.16/183.19 [982]~E(x9821,x9822)+E(f859(x9823,x9821,x9824,x9825,x9826,x9827,x9828,x9829),f859(x9823,x9822,x9824,x9825,x9826,x9827,x9828,x9829)) % 183.16/183.19 [983]~E(x9831,x9832)+E(f859(x9833,x9834,x9831,x9835,x9836,x9837,x9838,x9839),f859(x9833,x9834,x9832,x9835,x9836,x9837,x9838,x9839)) % 183.16/183.19 [984]~E(x9841,x9842)+E(f859(x9843,x9844,x9845,x9841,x9846,x9847,x9848,x9849),f859(x9843,x9844,x9845,x9842,x9846,x9847,x9848,x9849)) % 183.16/183.19 [985]~E(x9851,x9852)+E(f859(x9853,x9854,x9855,x9856,x9851,x9857,x9858,x9859),f859(x9853,x9854,x9855,x9856,x9852,x9857,x9858,x9859)) % 183.16/183.19 [986]~E(x9861,x9862)+E(f859(x9863,x9864,x9865,x9866,x9867,x9861,x9868,x9869),f859(x9863,x9864,x9865,x9866,x9867,x9862,x9868,x9869)) % 183.16/183.19 [987]~E(x9871,x9872)+E(f859(x9873,x9874,x9875,x9876,x9877,x9878,x9871,x9879),f859(x9873,x9874,x9875,x9876,x9877,x9878,x9872,x9879)) % 183.16/183.19 [988]~E(x9881,x9882)+E(f859(x9883,x9884,x9885,x9886,x9887,x9888,x9889,x9881),f859(x9883,x9884,x9885,x9886,x9887,x9888,x9889,x9882)) % 183.16/183.19 [989]~E(x9891,x9892)+E(f694(x9891,x9893,x9894),f694(x9892,x9893,x9894)) % 183.16/183.19 [990]~E(x9901,x9902)+E(f694(x9903,x9901,x9904),f694(x9903,x9902,x9904)) % 183.16/183.19 [991]~E(x9911,x9912)+E(f694(x9913,x9914,x9911),f694(x9913,x9914,x9912)) % 183.16/183.19 [992]~E(x9921,x9922)+E(f224(x9921),f224(x9922)) % 183.16/183.19 [993]~E(x9931,x9932)+E(f470(x9931,x9933,x9934),f470(x9932,x9933,x9934)) % 183.16/183.19 [994]~E(x9941,x9942)+E(f470(x9943,x9941,x9944),f470(x9943,x9942,x9944)) % 183.16/183.19 [995]~E(x9951,x9952)+E(f470(x9953,x9954,x9951),f470(x9953,x9954,x9952)) % 183.16/183.19 [996]~E(x9961,x9962)+E(f728(x9961,x9963,x9964),f728(x9962,x9963,x9964)) % 183.16/183.19 [997]~E(x9971,x9972)+E(f728(x9973,x9971,x9974),f728(x9973,x9972,x9974)) % 183.16/183.19 [998]~E(x9981,x9982)+E(f728(x9983,x9984,x9981),f728(x9983,x9984,x9982)) % 183.16/183.19 [999]~E(x9991,x9992)+E(f537(x9991,x9993,x9994),f537(x9992,x9993,x9994)) % 183.16/183.19 [1000]~E(x10001,x10002)+E(f537(x10003,x10001,x10004),f537(x10003,x10002,x10004)) % 183.16/183.19 [1001]~E(x10011,x10012)+E(f537(x10013,x10014,x10011),f537(x10013,x10014,x10012)) % 183.16/183.19 [1002]~E(x10021,x10022)+E(f119(x10021,x10023,x10024),f119(x10022,x10023,x10024)) % 183.16/183.19 [1003]~E(x10031,x10032)+E(f119(x10033,x10031,x10034),f119(x10033,x10032,x10034)) % 183.16/183.19 [1004]~E(x10041,x10042)+E(f119(x10043,x10044,x10041),f119(x10043,x10044,x10042)) % 183.16/183.19 [1005]~E(x10051,x10052)+E(f210(x10051,x10053),f210(x10052,x10053)) % 183.16/183.19 [1006]~E(x10061,x10062)+E(f210(x10063,x10061),f210(x10063,x10062)) % 183.16/183.19 [1007]~E(x10071,x10072)+E(f284(x10071,x10073),f284(x10072,x10073)) % 183.16/183.19 [1008]~E(x10081,x10082)+E(f284(x10083,x10081),f284(x10083,x10082)) % 183.16/183.19 [1009]~E(x10091,x10092)+E(f790(x10091,x10093,x10094),f790(x10092,x10093,x10094)) % 183.16/183.19 [1010]~E(x10101,x10102)+E(f790(x10103,x10101,x10104),f790(x10103,x10102,x10104)) % 183.16/183.19 [1011]~E(x10111,x10112)+E(f790(x10113,x10114,x10111),f790(x10113,x10114,x10112)) % 183.16/183.19 [1012]~E(x10121,x10122)+E(f584(x10121,x10123,x10124,x10125,x10126),f584(x10122,x10123,x10124,x10125,x10126)) % 183.16/183.19 [1013]~E(x10131,x10132)+E(f584(x10133,x10131,x10134,x10135,x10136),f584(x10133,x10132,x10134,x10135,x10136)) % 183.16/183.19 [1014]~E(x10141,x10142)+E(f584(x10143,x10144,x10141,x10145,x10146),f584(x10143,x10144,x10142,x10145,x10146)) % 183.16/183.19 [1015]~E(x10151,x10152)+E(f584(x10153,x10154,x10155,x10151,x10156),f584(x10153,x10154,x10155,x10152,x10156)) % 183.16/183.19 [1016]~E(x10161,x10162)+E(f584(x10163,x10164,x10165,x10166,x10161),f584(x10163,x10164,x10165,x10166,x10162)) % 183.16/183.19 [1017]~E(x10171,x10172)+E(f825(x10171,x10173,x10174,x10175),f825(x10172,x10173,x10174,x10175)) % 183.16/183.19 [1018]~E(x10181,x10182)+E(f825(x10183,x10181,x10184,x10185),f825(x10183,x10182,x10184,x10185)) % 183.16/183.19 [1019]~E(x10191,x10192)+E(f825(x10193,x10194,x10191,x10195),f825(x10193,x10194,x10192,x10195)) % 183.16/183.19 [1020]~E(x10201,x10202)+E(f825(x10203,x10204,x10205,x10201),f825(x10203,x10204,x10205,x10202)) % 183.16/183.19 [1021]~E(x10211,x10212)+E(f53(x10211,x10213),f53(x10212,x10213)) % 183.16/183.19 [1022]~E(x10221,x10222)+E(f53(x10223,x10221),f53(x10223,x10222)) % 183.16/183.19 [1023]~E(x10231,x10232)+E(f736(x10231,x10233,x10234,x10235),f736(x10232,x10233,x10234,x10235)) % 183.16/183.19 [1024]~E(x10241,x10242)+E(f736(x10243,x10241,x10244,x10245),f736(x10243,x10242,x10244,x10245)) % 183.16/183.19 [1025]~E(x10251,x10252)+E(f736(x10253,x10254,x10251,x10255),f736(x10253,x10254,x10252,x10255)) % 183.16/183.19 [1026]~E(x10261,x10262)+E(f736(x10263,x10264,x10265,x10261),f736(x10263,x10264,x10265,x10262)) % 183.16/183.19 [1027]~E(x10271,x10272)+E(f530(x10271,x10273,x10274,x10275),f530(x10272,x10273,x10274,x10275)) % 183.16/183.19 [1028]~E(x10281,x10282)+E(f530(x10283,x10281,x10284,x10285),f530(x10283,x10282,x10284,x10285)) % 183.16/183.19 [1029]~E(x10291,x10292)+E(f530(x10293,x10294,x10291,x10295),f530(x10293,x10294,x10292,x10295)) % 183.16/183.19 [1030]~E(x10301,x10302)+E(f530(x10303,x10304,x10305,x10301),f530(x10303,x10304,x10305,x10302)) % 183.16/183.19 [1031]~E(x10311,x10312)+E(f722(x10311,x10313,x10314),f722(x10312,x10313,x10314)) % 183.16/183.19 [1032]~E(x10321,x10322)+E(f722(x10323,x10321,x10324),f722(x10323,x10322,x10324)) % 183.16/183.19 [1033]~E(x10331,x10332)+E(f722(x10333,x10334,x10331),f722(x10333,x10334,x10332)) % 183.16/183.19 [1034]~E(x10341,x10342)+E(f580(x10341,x10343,x10344,x10345,x10346,x10347),f580(x10342,x10343,x10344,x10345,x10346,x10347)) % 183.16/183.19 [1035]~E(x10351,x10352)+E(f580(x10353,x10351,x10354,x10355,x10356,x10357),f580(x10353,x10352,x10354,x10355,x10356,x10357)) % 183.16/183.19 [1036]~E(x10361,x10362)+E(f580(x10363,x10364,x10361,x10365,x10366,x10367),f580(x10363,x10364,x10362,x10365,x10366,x10367)) % 183.16/183.19 [1037]~E(x10371,x10372)+E(f580(x10373,x10374,x10375,x10371,x10376,x10377),f580(x10373,x10374,x10375,x10372,x10376,x10377)) % 183.16/183.19 [1038]~E(x10381,x10382)+E(f580(x10383,x10384,x10385,x10386,x10381,x10387),f580(x10383,x10384,x10385,x10386,x10382,x10387)) % 183.16/183.19 [1039]~E(x10391,x10392)+E(f580(x10393,x10394,x10395,x10396,x10397,x10391),f580(x10393,x10394,x10395,x10396,x10397,x10392)) % 183.16/183.19 [1040]~E(x10401,x10402)+E(f742(x10401,x10403),f742(x10402,x10403)) % 183.16/183.19 [1041]~E(x10411,x10412)+E(f742(x10413,x10411),f742(x10413,x10412)) % 183.16/183.19 [1042]~E(x10421,x10422)+E(f687(x10421,x10423,x10424,x10425),f687(x10422,x10423,x10424,x10425)) % 183.16/183.19 [1043]~E(x10431,x10432)+E(f687(x10433,x10431,x10434,x10435),f687(x10433,x10432,x10434,x10435)) % 183.16/183.19 [1044]~E(x10441,x10442)+E(f687(x10443,x10444,x10441,x10445),f687(x10443,x10444,x10442,x10445)) % 183.16/183.19 [1045]~E(x10451,x10452)+E(f687(x10453,x10454,x10455,x10451),f687(x10453,x10454,x10455,x10452)) % 183.16/183.19 [1046]~E(x10461,x10462)+E(f365(x10461,x10463,x10464,x10465),f365(x10462,x10463,x10464,x10465)) % 183.16/183.19 [1047]~E(x10471,x10472)+E(f365(x10473,x10471,x10474,x10475),f365(x10473,x10472,x10474,x10475)) % 183.16/183.19 [1048]~E(x10481,x10482)+E(f365(x10483,x10484,x10481,x10485),f365(x10483,x10484,x10482,x10485)) % 183.16/183.19 [1049]~E(x10491,x10492)+E(f365(x10493,x10494,x10495,x10491),f365(x10493,x10494,x10495,x10492)) % 183.16/183.19 [1050]~E(x10501,x10502)+E(f678(x10501,x10503,x10504),f678(x10502,x10503,x10504)) % 183.16/183.19 [1051]~E(x10511,x10512)+E(f678(x10513,x10511,x10514),f678(x10513,x10512,x10514)) % 183.16/183.19 [1052]~E(x10521,x10522)+E(f678(x10523,x10524,x10521),f678(x10523,x10524,x10522)) % 183.16/183.19 [1053]~E(x10531,x10532)+E(f394(x10531,x10533,x10534,x10535),f394(x10532,x10533,x10534,x10535)) % 183.16/183.19 [1054]~E(x10541,x10542)+E(f394(x10543,x10541,x10544,x10545),f394(x10543,x10542,x10544,x10545)) % 183.16/183.19 [1055]~E(x10551,x10552)+E(f394(x10553,x10554,x10551,x10555),f394(x10553,x10554,x10552,x10555)) % 183.16/183.19 [1056]~E(x10561,x10562)+E(f394(x10563,x10564,x10565,x10561),f394(x10563,x10564,x10565,x10562)) % 183.16/183.19 [1057]~E(x10571,x10572)+E(f289(x10571,x10573),f289(x10572,x10573)) % 183.16/183.19 [1058]~E(x10581,x10582)+E(f289(x10583,x10581),f289(x10583,x10582)) % 183.16/183.19 [1059]~E(x10591,x10592)+E(f141(x10591,x10593,x10594),f141(x10592,x10593,x10594)) % 183.16/183.19 [1060]~E(x10601,x10602)+E(f141(x10603,x10601,x10604),f141(x10603,x10602,x10604)) % 183.16/183.19 [1061]~E(x10611,x10612)+E(f141(x10613,x10614,x10611),f141(x10613,x10614,x10612)) % 183.16/183.19 [1062]~E(x10621,x10622)+E(f671(x10621,x10623,x10624,x10625),f671(x10622,x10623,x10624,x10625)) % 183.16/183.19 [1063]~E(x10631,x10632)+E(f671(x10633,x10631,x10634,x10635),f671(x10633,x10632,x10634,x10635)) % 183.16/183.19 [1064]~E(x10641,x10642)+E(f671(x10643,x10644,x10641,x10645),f671(x10643,x10644,x10642,x10645)) % 183.16/183.19 [1065]~E(x10651,x10652)+E(f671(x10653,x10654,x10655,x10651),f671(x10653,x10654,x10655,x10652)) % 183.16/183.19 [1066]~E(x10661,x10662)+E(f389(x10661,x10663),f389(x10662,x10663)) % 183.16/183.19 [1067]~E(x10671,x10672)+E(f389(x10673,x10671),f389(x10673,x10672)) % 183.16/183.19 [1068]~E(x10681,x10682)+E(f391(x10681,x10683,x10684),f391(x10682,x10683,x10684)) % 183.16/183.19 [1069]~E(x10691,x10692)+E(f391(x10693,x10691,x10694),f391(x10693,x10692,x10694)) % 183.16/183.19 [1070]~E(x10701,x10702)+E(f391(x10703,x10704,x10701),f391(x10703,x10704,x10702)) % 183.16/183.19 [1071]~E(x10711,x10712)+E(f146(x10711,x10713),f146(x10712,x10713)) % 183.16/183.19 [1072]~E(x10721,x10722)+E(f146(x10723,x10721),f146(x10723,x10722)) % 183.16/183.19 [1073]~E(x10731,x10732)+E(f853(x10731,x10733),f853(x10732,x10733)) % 183.16/183.19 [1074]~E(x10741,x10742)+E(f853(x10743,x10741),f853(x10743,x10742)) % 183.16/183.19 [1075]~E(x10751,x10752)+E(f846(x10751,x10753,x10754,x10755,x10756,x10757),f846(x10752,x10753,x10754,x10755,x10756,x10757)) % 183.16/183.19 [1076]~E(x10761,x10762)+E(f846(x10763,x10761,x10764,x10765,x10766,x10767),f846(x10763,x10762,x10764,x10765,x10766,x10767)) % 183.16/183.19 [1077]~E(x10771,x10772)+E(f846(x10773,x10774,x10771,x10775,x10776,x10777),f846(x10773,x10774,x10772,x10775,x10776,x10777)) % 183.16/183.19 [1078]~E(x10781,x10782)+E(f846(x10783,x10784,x10785,x10781,x10786,x10787),f846(x10783,x10784,x10785,x10782,x10786,x10787)) % 183.16/183.19 [1079]~E(x10791,x10792)+E(f846(x10793,x10794,x10795,x10796,x10791,x10797),f846(x10793,x10794,x10795,x10796,x10792,x10797)) % 183.16/183.19 [1080]~E(x10801,x10802)+E(f846(x10803,x10804,x10805,x10806,x10807,x10801),f846(x10803,x10804,x10805,x10806,x10807,x10802)) % 183.16/183.19 [1081]~E(x10811,x10812)+E(f292(x10811,x10813),f292(x10812,x10813)) % 183.16/183.19 [1082]~E(x10821,x10822)+E(f292(x10823,x10821),f292(x10823,x10822)) % 183.16/183.19 [1083]~E(x10831,x10832)+E(f226(x10831,x10833),f226(x10832,x10833)) % 183.16/183.19 [1084]~E(x10841,x10842)+E(f226(x10843,x10841),f226(x10843,x10842)) % 183.16/183.19 [1085]~E(x10851,x10852)+E(f165(x10851,x10853,x10854,x10855),f165(x10852,x10853,x10854,x10855)) % 183.16/183.19 [1086]~E(x10861,x10862)+E(f165(x10863,x10861,x10864,x10865),f165(x10863,x10862,x10864,x10865)) % 183.16/183.19 [1087]~E(x10871,x10872)+E(f165(x10873,x10874,x10871,x10875),f165(x10873,x10874,x10872,x10875)) % 183.16/183.19 [1088]~E(x10881,x10882)+E(f165(x10883,x10884,x10885,x10881),f165(x10883,x10884,x10885,x10882)) % 183.16/183.19 [1089]~E(x10891,x10892)+E(f474(x10891,x10893,x10894),f474(x10892,x10893,x10894)) % 183.16/183.19 [1090]~E(x10901,x10902)+E(f474(x10903,x10901,x10904),f474(x10903,x10902,x10904)) % 183.16/183.19 [1091]~E(x10911,x10912)+E(f474(x10913,x10914,x10911),f474(x10913,x10914,x10912)) % 183.16/183.19 [1092]~E(x10921,x10922)+E(f478(x10921,x10923,x10924,x10925),f478(x10922,x10923,x10924,x10925)) % 183.16/183.19 [1093]~E(x10931,x10932)+E(f478(x10933,x10931,x10934,x10935),f478(x10933,x10932,x10934,x10935)) % 183.16/183.19 [1094]~E(x10941,x10942)+E(f478(x10943,x10944,x10941,x10945),f478(x10943,x10944,x10942,x10945)) % 183.16/183.19 [1095]~E(x10951,x10952)+E(f478(x10953,x10954,x10955,x10951),f478(x10953,x10954,x10955,x10952)) % 183.16/183.19 [1096]~E(x10961,x10962)+E(f497(x10961,x10963,x10964),f497(x10962,x10963,x10964)) % 183.16/183.19 [1097]~E(x10971,x10972)+E(f497(x10973,x10971,x10974),f497(x10973,x10972,x10974)) % 183.16/183.19 [1098]~E(x10981,x10982)+E(f497(x10983,x10984,x10981),f497(x10983,x10984,x10982)) % 183.16/183.19 [1099]~E(x10991,x10992)+E(f175(x10991,x10993,x10994),f175(x10992,x10993,x10994)) % 183.16/183.19 [1100]~E(x11001,x11002)+E(f175(x11003,x11001,x11004),f175(x11003,x11002,x11004)) % 183.16/183.19 [1101]~E(x11011,x11012)+E(f175(x11013,x11014,x11011),f175(x11013,x11014,x11012)) % 183.16/183.19 [1102]~E(x11021,x11022)+E(f799(x11021,x11023,x11024),f799(x11022,x11023,x11024)) % 183.16/183.19 [1103]~E(x11031,x11032)+E(f799(x11033,x11031,x11034),f799(x11033,x11032,x11034)) % 183.16/183.19 [1104]~E(x11041,x11042)+E(f799(x11043,x11044,x11041),f799(x11043,x11044,x11042)) % 183.16/183.19 [1105]~E(x11051,x11052)+E(f776(x11051,x11053,x11054),f776(x11052,x11053,x11054)) % 183.16/183.19 [1106]~E(x11061,x11062)+E(f776(x11063,x11061,x11064),f776(x11063,x11062,x11064)) % 183.16/183.19 [1107]~E(x11071,x11072)+E(f776(x11073,x11074,x11071),f776(x11073,x11074,x11072)) % 183.16/183.19 [1108]~E(x11081,x11082)+E(f458(x11081,x11083,x11084,x11085,x11086),f458(x11082,x11083,x11084,x11085,x11086)) % 183.16/183.19 [1109]~E(x11091,x11092)+E(f458(x11093,x11091,x11094,x11095,x11096),f458(x11093,x11092,x11094,x11095,x11096)) % 183.16/183.19 [1110]~E(x11101,x11102)+E(f458(x11103,x11104,x11101,x11105,x11106),f458(x11103,x11104,x11102,x11105,x11106)) % 183.16/183.19 [1111]~E(x11111,x11112)+E(f458(x11113,x11114,x11115,x11111,x11116),f458(x11113,x11114,x11115,x11112,x11116)) % 183.16/183.19 [1112]~E(x11121,x11122)+E(f458(x11123,x11124,x11125,x11126,x11121),f458(x11123,x11124,x11125,x11126,x11122)) % 183.16/183.19 [1113]~E(x11131,x11132)+E(f852(x11131,x11133,x11134,x11135,x11136),f852(x11132,x11133,x11134,x11135,x11136)) % 183.16/183.19 [1114]~E(x11141,x11142)+E(f852(x11143,x11141,x11144,x11145,x11146),f852(x11143,x11142,x11144,x11145,x11146)) % 183.16/183.19 [1115]~E(x11151,x11152)+E(f852(x11153,x11154,x11151,x11155,x11156),f852(x11153,x11154,x11152,x11155,x11156)) % 183.16/183.19 [1116]~E(x11161,x11162)+E(f852(x11163,x11164,x11165,x11161,x11166),f852(x11163,x11164,x11165,x11162,x11166)) % 183.16/183.19 [1117]~E(x11171,x11172)+E(f852(x11173,x11174,x11175,x11176,x11171),f852(x11173,x11174,x11175,x11176,x11172)) % 183.16/183.19 [1118]~E(x11181,x11182)+E(f318(x11181),f318(x11182)) % 183.16/183.19 [1119]~E(x11191,x11192)+E(f747(x11191,x11193,x11194),f747(x11192,x11193,x11194)) % 183.16/183.19 [1120]~E(x11201,x11202)+E(f747(x11203,x11201,x11204),f747(x11203,x11202,x11204)) % 183.16/183.19 [1121]~E(x11211,x11212)+E(f747(x11213,x11214,x11211),f747(x11213,x11214,x11212)) % 183.16/183.19 [1122]~E(x11221,x11222)+E(f569(x11221,x11223,x11224,x11225),f569(x11222,x11223,x11224,x11225)) % 183.16/183.19 [1123]~E(x11231,x11232)+E(f569(x11233,x11231,x11234,x11235),f569(x11233,x11232,x11234,x11235)) % 183.16/183.19 [1124]~E(x11241,x11242)+E(f569(x11243,x11244,x11241,x11245),f569(x11243,x11244,x11242,x11245)) % 183.16/183.19 [1125]~E(x11251,x11252)+E(f569(x11253,x11254,x11255,x11251),f569(x11253,x11254,x11255,x11252)) % 183.16/183.19 [1126]~E(x11261,x11262)+E(f563(x11261,x11263),f563(x11262,x11263)) % 183.16/183.19 [1127]~E(x11271,x11272)+E(f563(x11273,x11271),f563(x11273,x11272)) % 183.16/183.19 [1128]~E(x11281,x11282)+E(f635(x11281,x11283,x11284),f635(x11282,x11283,x11284)) % 183.16/183.19 [1129]~E(x11291,x11292)+E(f635(x11293,x11291,x11294),f635(x11293,x11292,x11294)) % 183.16/183.19 [1130]~E(x11301,x11302)+E(f635(x11303,x11304,x11301),f635(x11303,x11304,x11302)) % 183.16/183.19 [1131]~E(x11311,x11312)+E(f681(x11311,x11313,x11314),f681(x11312,x11313,x11314)) % 183.16/183.19 [1132]~E(x11321,x11322)+E(f681(x11323,x11321,x11324),f681(x11323,x11322,x11324)) % 183.16/183.19 [1133]~E(x11331,x11332)+E(f681(x11333,x11334,x11331),f681(x11333,x11334,x11332)) % 183.16/183.19 [1134]~E(x11341,x11342)+E(f232(x11341,x11343),f232(x11342,x11343)) % 183.16/183.19 [1135]~E(x11351,x11352)+E(f232(x11353,x11351),f232(x11353,x11352)) % 183.16/183.19 [1136]~E(x11361,x11362)+E(f348(x11361,x11363,x11364,x11365),f348(x11362,x11363,x11364,x11365)) % 183.16/183.19 [1137]~E(x11371,x11372)+E(f348(x11373,x11371,x11374,x11375),f348(x11373,x11372,x11374,x11375)) % 183.16/183.19 [1138]~E(x11381,x11382)+E(f348(x11383,x11384,x11381,x11385),f348(x11383,x11384,x11382,x11385)) % 183.16/183.19 [1139]~E(x11391,x11392)+E(f348(x11393,x11394,x11395,x11391),f348(x11393,x11394,x11395,x11392)) % 183.16/183.19 [1140]~E(x11401,x11402)+E(f865(x11401,x11403,x11404),f865(x11402,x11403,x11404)) % 183.16/183.19 [1141]~E(x11411,x11412)+E(f865(x11413,x11411,x11414),f865(x11413,x11412,x11414)) % 183.16/183.19 [1142]~E(x11421,x11422)+E(f865(x11423,x11424,x11421),f865(x11423,x11424,x11422)) % 183.16/183.19 [1143]~E(x11431,x11432)+E(f448(x11431,x11433,x11434,x11435),f448(x11432,x11433,x11434,x11435)) % 183.16/183.19 [1144]~E(x11441,x11442)+E(f448(x11443,x11441,x11444,x11445),f448(x11443,x11442,x11444,x11445)) % 183.16/183.19 [1145]~E(x11451,x11452)+E(f448(x11453,x11454,x11451,x11455),f448(x11453,x11454,x11452,x11455)) % 183.16/183.19 [1146]~E(x11461,x11462)+E(f448(x11463,x11464,x11465,x11461),f448(x11463,x11464,x11465,x11462)) % 183.16/183.19 [1147]~E(x11471,x11472)+E(f854(x11471,x11473,x11474,x11475,x11476),f854(x11472,x11473,x11474,x11475,x11476)) % 183.16/183.19 [1148]~E(x11481,x11482)+E(f854(x11483,x11481,x11484,x11485,x11486),f854(x11483,x11482,x11484,x11485,x11486)) % 183.16/183.19 [1149]~E(x11491,x11492)+E(f854(x11493,x11494,x11491,x11495,x11496),f854(x11493,x11494,x11492,x11495,x11496)) % 183.16/183.19 [1150]~E(x11501,x11502)+E(f854(x11503,x11504,x11505,x11501,x11506),f854(x11503,x11504,x11505,x11502,x11506)) % 183.16/183.19 [1151]~E(x11511,x11512)+E(f854(x11513,x11514,x11515,x11516,x11511),f854(x11513,x11514,x11515,x11516,x11512)) % 183.16/183.19 [1152]~E(x11521,x11522)+E(f144(x11521,x11523),f144(x11522,x11523)) % 183.16/183.19 [1153]~E(x11531,x11532)+E(f144(x11533,x11531),f144(x11533,x11532)) % 183.16/183.19 [1154]~E(x11541,x11542)+E(f725(x11541,x11543,x11544,x11545,x11546,x11547,x11548),f725(x11542,x11543,x11544,x11545,x11546,x11547,x11548)) % 183.16/183.19 [1155]~E(x11551,x11552)+E(f725(x11553,x11551,x11554,x11555,x11556,x11557,x11558),f725(x11553,x11552,x11554,x11555,x11556,x11557,x11558)) % 183.16/183.19 [1156]~E(x11561,x11562)+E(f725(x11563,x11564,x11561,x11565,x11566,x11567,x11568),f725(x11563,x11564,x11562,x11565,x11566,x11567,x11568)) % 183.16/183.19 [1157]~E(x11571,x11572)+E(f725(x11573,x11574,x11575,x11571,x11576,x11577,x11578),f725(x11573,x11574,x11575,x11572,x11576,x11577,x11578)) % 183.16/183.19 [1158]~E(x11581,x11582)+E(f725(x11583,x11584,x11585,x11586,x11581,x11587,x11588),f725(x11583,x11584,x11585,x11586,x11582,x11587,x11588)) % 183.16/183.19 [1159]~E(x11591,x11592)+E(f725(x11593,x11594,x11595,x11596,x11597,x11591,x11598),f725(x11593,x11594,x11595,x11596,x11597,x11592,x11598)) % 183.16/183.19 [1160]~E(x11601,x11602)+E(f725(x11603,x11604,x11605,x11606,x11607,x11608,x11601),f725(x11603,x11604,x11605,x11606,x11607,x11608,x11602)) % 183.16/183.19 [1161]~E(x11611,x11612)+E(f626(x11611,x11613,x11614,x11615,x11616),f626(x11612,x11613,x11614,x11615,x11616)) % 183.16/183.19 [1162]~E(x11621,x11622)+E(f626(x11623,x11621,x11624,x11625,x11626),f626(x11623,x11622,x11624,x11625,x11626)) % 183.16/183.19 [1163]~E(x11631,x11632)+E(f626(x11633,x11634,x11631,x11635,x11636),f626(x11633,x11634,x11632,x11635,x11636)) % 183.16/183.19 [1164]~E(x11641,x11642)+E(f626(x11643,x11644,x11645,x11641,x11646),f626(x11643,x11644,x11645,x11642,x11646)) % 183.16/183.19 [1165]~E(x11651,x11652)+E(f626(x11653,x11654,x11655,x11656,x11651),f626(x11653,x11654,x11655,x11656,x11652)) % 183.16/183.19 [1166]~E(x11661,x11662)+E(f395(x11661,x11663,x11664,x11665),f395(x11662,x11663,x11664,x11665)) % 183.16/183.19 [1167]~E(x11671,x11672)+E(f395(x11673,x11671,x11674,x11675),f395(x11673,x11672,x11674,x11675)) % 183.16/183.19 [1168]~E(x11681,x11682)+E(f395(x11683,x11684,x11681,x11685),f395(x11683,x11684,x11682,x11685)) % 183.16/183.19 [1169]~E(x11691,x11692)+E(f395(x11693,x11694,x11695,x11691),f395(x11693,x11694,x11695,x11692)) % 183.16/183.19 [1170]~E(x11701,x11702)+E(f263(x11701,x11703,x11704),f263(x11702,x11703,x11704)) % 183.16/183.19 [1171]~E(x11711,x11712)+E(f263(x11713,x11711,x11714),f263(x11713,x11712,x11714)) % 183.16/183.19 [1172]~E(x11721,x11722)+E(f263(x11723,x11724,x11721),f263(x11723,x11724,x11722)) % 183.16/183.19 [1173]~E(x11731,x11732)+E(f682(x11731,x11733,x11734),f682(x11732,x11733,x11734)) % 183.16/183.19 [1174]~E(x11741,x11742)+E(f682(x11743,x11741,x11744),f682(x11743,x11742,x11744)) % 183.16/183.19 [1175]~E(x11751,x11752)+E(f682(x11753,x11754,x11751),f682(x11753,x11754,x11752)) % 183.16/183.19 [1176]~E(x11761,x11762)+E(f625(x11761,x11763,x11764),f625(x11762,x11763,x11764)) % 183.16/183.19 [1177]~E(x11771,x11772)+E(f625(x11773,x11771,x11774),f625(x11773,x11772,x11774)) % 183.16/183.19 [1178]~E(x11781,x11782)+E(f625(x11783,x11784,x11781),f625(x11783,x11784,x11782)) % 183.16/183.19 [1179]~E(x11791,x11792)+E(f764(x11791,x11793),f764(x11792,x11793)) % 183.16/183.19 [1180]~E(x11801,x11802)+E(f764(x11803,x11801),f764(x11803,x11802)) % 183.16/183.19 [1181]~E(x11811,x11812)+E(f637(x11811,x11813,x11814,x11815,x11816),f637(x11812,x11813,x11814,x11815,x11816)) % 183.16/183.19 [1182]~E(x11821,x11822)+E(f637(x11823,x11821,x11824,x11825,x11826),f637(x11823,x11822,x11824,x11825,x11826)) % 183.16/183.19 [1183]~E(x11831,x11832)+E(f637(x11833,x11834,x11831,x11835,x11836),f637(x11833,x11834,x11832,x11835,x11836)) % 183.16/183.19 [1184]~E(x11841,x11842)+E(f637(x11843,x11844,x11845,x11841,x11846),f637(x11843,x11844,x11845,x11842,x11846)) % 183.16/183.19 [1185]~E(x11851,x11852)+E(f637(x11853,x11854,x11855,x11856,x11851),f637(x11853,x11854,x11855,x11856,x11852)) % 183.16/183.19 [1186]~E(x11861,x11862)+E(f205(x11861,x11863,x11864,x11865),f205(x11862,x11863,x11864,x11865)) % 183.16/183.19 [1187]~E(x11871,x11872)+E(f205(x11873,x11871,x11874,x11875),f205(x11873,x11872,x11874,x11875)) % 183.16/183.19 [1188]~E(x11881,x11882)+E(f205(x11883,x11884,x11881,x11885),f205(x11883,x11884,x11882,x11885)) % 183.16/183.19 [1189]~E(x11891,x11892)+E(f205(x11893,x11894,x11895,x11891),f205(x11893,x11894,x11895,x11892)) % 183.16/183.19 [1190]~E(x11901,x11902)+E(f515(x11901,x11903,x11904),f515(x11902,x11903,x11904)) % 183.16/183.19 [1191]~E(x11911,x11912)+E(f515(x11913,x11911,x11914),f515(x11913,x11912,x11914)) % 183.16/183.19 [1192]~E(x11921,x11922)+E(f515(x11923,x11924,x11921),f515(x11923,x11924,x11922)) % 183.16/183.19 [1193]~E(x11931,x11932)+E(f211(x11931,x11933),f211(x11932,x11933)) % 183.16/183.19 [1194]~E(x11941,x11942)+E(f211(x11943,x11941),f211(x11943,x11942)) % 183.16/183.19 [1195]~E(x11951,x11952)+E(f54(x11951,x11953,x11954),f54(x11952,x11953,x11954)) % 183.16/183.19 [1196]~E(x11961,x11962)+E(f54(x11963,x11961,x11964),f54(x11963,x11962,x11964)) % 183.16/183.19 [1197]~E(x11971,x11972)+E(f54(x11973,x11974,x11971),f54(x11973,x11974,x11972)) % 183.16/183.19 [1198]~E(x11981,x11982)+E(f127(x11981),f127(x11982)) % 183.16/183.19 [1199]~E(x11991,x11992)+E(f777(x11991,x11993,x11994),f777(x11992,x11993,x11994)) % 183.16/183.19 [1200]~E(x12001,x12002)+E(f777(x12003,x12001,x12004),f777(x12003,x12002,x12004)) % 183.16/183.19 [1201]~E(x12011,x12012)+E(f777(x12013,x12014,x12011),f777(x12013,x12014,x12012)) % 183.16/183.19 [1202]~E(x12021,x12022)+E(f250(x12021,x12023),f250(x12022,x12023)) % 183.16/183.19 [1203]~E(x12031,x12032)+E(f250(x12033,x12031),f250(x12033,x12032)) % 183.16/183.19 [1204]~E(x12041,x12042)+E(f755(x12041,x12043),f755(x12042,x12043)) % 183.16/183.19 [1205]~E(x12051,x12052)+E(f755(x12053,x12051),f755(x12053,x12052)) % 183.16/183.19 [1206]~E(x12061,x12062)+E(f526(x12061,x12063,x12064),f526(x12062,x12063,x12064)) % 183.16/183.19 [1207]~E(x12071,x12072)+E(f526(x12073,x12071,x12074),f526(x12073,x12072,x12074)) % 183.16/183.19 [1208]~E(x12081,x12082)+E(f526(x12083,x12084,x12081),f526(x12083,x12084,x12082)) % 183.16/183.19 [1209]~E(x12091,x12092)+E(f842(x12091,x12093,x12094,x12095),f842(x12092,x12093,x12094,x12095)) % 183.16/183.19 [1210]~E(x12101,x12102)+E(f842(x12103,x12101,x12104,x12105),f842(x12103,x12102,x12104,x12105)) % 183.16/183.19 [1211]~E(x12111,x12112)+E(f842(x12113,x12114,x12111,x12115),f842(x12113,x12114,x12112,x12115)) % 183.16/183.19 [1212]~E(x12121,x12122)+E(f842(x12123,x12124,x12125,x12121),f842(x12123,x12124,x12125,x12122)) % 183.16/183.19 [1213]~E(x12131,x12132)+E(f546(x12131,x12133,x12134),f546(x12132,x12133,x12134)) % 183.16/183.19 [1214]~E(x12141,x12142)+E(f546(x12143,x12141,x12144),f546(x12143,x12142,x12144)) % 183.16/183.19 [1215]~E(x12151,x12152)+E(f546(x12153,x12154,x12151),f546(x12153,x12154,x12152)) % 183.16/183.19 [1216]~E(x12161,x12162)+E(f346(x12161,x12163,x12164),f346(x12162,x12163,x12164)) % 183.16/183.19 [1217]~E(x12171,x12172)+E(f346(x12173,x12171,x12174),f346(x12173,x12172,x12174)) % 183.16/183.19 [1218]~E(x12181,x12182)+E(f346(x12183,x12184,x12181),f346(x12183,x12184,x12182)) % 183.16/183.19 [1219]~E(x12191,x12192)+E(f609(x12191,x12193,x12194,x12195,x12196,x12197),f609(x12192,x12193,x12194,x12195,x12196,x12197)) % 183.16/183.19 [1220]~E(x12201,x12202)+E(f609(x12203,x12201,x12204,x12205,x12206,x12207),f609(x12203,x12202,x12204,x12205,x12206,x12207)) % 183.16/183.19 [1221]~E(x12211,x12212)+E(f609(x12213,x12214,x12211,x12215,x12216,x12217),f609(x12213,x12214,x12212,x12215,x12216,x12217)) % 183.16/183.19 [1222]~E(x12221,x12222)+E(f609(x12223,x12224,x12225,x12221,x12226,x12227),f609(x12223,x12224,x12225,x12222,x12226,x12227)) % 183.16/183.19 [1223]~E(x12231,x12232)+E(f609(x12233,x12234,x12235,x12236,x12231,x12237),f609(x12233,x12234,x12235,x12236,x12232,x12237)) % 183.16/183.19 [1224]~E(x12241,x12242)+E(f609(x12243,x12244,x12245,x12246,x12247,x12241),f609(x12243,x12244,x12245,x12246,x12247,x12242)) % 183.16/183.19 [1225]~E(x12251,x12252)+E(f869(x12251,x12253,x12254,x12255,x12256),f869(x12252,x12253,x12254,x12255,x12256)) % 183.16/183.19 [1226]~E(x12261,x12262)+E(f869(x12263,x12261,x12264,x12265,x12266),f869(x12263,x12262,x12264,x12265,x12266)) % 183.16/183.19 [1227]~E(x12271,x12272)+E(f869(x12273,x12274,x12271,x12275,x12276),f869(x12273,x12274,x12272,x12275,x12276)) % 183.16/183.19 [1228]~E(x12281,x12282)+E(f869(x12283,x12284,x12285,x12281,x12286),f869(x12283,x12284,x12285,x12282,x12286)) % 183.16/183.19 [1229]~E(x12291,x12292)+E(f869(x12293,x12294,x12295,x12296,x12291),f869(x12293,x12294,x12295,x12296,x12292)) % 183.16/183.19 [1230]~E(x12301,x12302)+E(f800(x12301,x12303,x12304),f800(x12302,x12303,x12304)) % 183.16/183.19 [1231]~E(x12311,x12312)+E(f800(x12313,x12311,x12314),f800(x12313,x12312,x12314)) % 183.16/183.19 [1232]~E(x12321,x12322)+E(f800(x12323,x12324,x12321),f800(x12323,x12324,x12322)) % 183.16/183.19 [1233]~E(x12331,x12332)+E(f551(x12331,x12333,x12334),f551(x12332,x12333,x12334)) % 183.16/183.19 [1234]~E(x12341,x12342)+E(f551(x12343,x12341,x12344),f551(x12343,x12342,x12344)) % 183.16/183.19 [1235]~E(x12351,x12352)+E(f551(x12353,x12354,x12351),f551(x12353,x12354,x12352)) % 183.16/183.19 [1236]~E(x12361,x12362)+E(f73(x12361,x12363),f73(x12362,x12363)) % 183.16/183.19 [1237]~E(x12371,x12372)+E(f73(x12373,x12371),f73(x12373,x12372)) % 183.16/183.19 [1238]~E(x12381,x12382)+E(f461(x12381,x12383,x12384),f461(x12382,x12383,x12384)) % 183.16/183.19 [1239]~E(x12391,x12392)+E(f461(x12393,x12391,x12394),f461(x12393,x12392,x12394)) % 183.16/183.19 [1240]~E(x12401,x12402)+E(f461(x12403,x12404,x12401),f461(x12403,x12404,x12402)) % 183.16/183.19 [1241]~E(x12411,x12412)+E(f860(x12411,x12413,x12414,x12415),f860(x12412,x12413,x12414,x12415)) % 183.16/183.19 [1242]~E(x12421,x12422)+E(f860(x12423,x12421,x12424,x12425),f860(x12423,x12422,x12424,x12425)) % 183.16/183.19 [1243]~E(x12431,x12432)+E(f860(x12433,x12434,x12431,x12435),f860(x12433,x12434,x12432,x12435)) % 183.16/183.19 [1244]~E(x12441,x12442)+E(f860(x12443,x12444,x12445,x12441),f860(x12443,x12444,x12445,x12442)) % 183.16/183.19 [1245]~E(x12451,x12452)+E(f662(x12451,x12453,x12454,x12455),f662(x12452,x12453,x12454,x12455)) % 183.16/183.19 [1246]~E(x12461,x12462)+E(f662(x12463,x12461,x12464,x12465),f662(x12463,x12462,x12464,x12465)) % 183.16/183.19 [1247]~E(x12471,x12472)+E(f662(x12473,x12474,x12471,x12475),f662(x12473,x12474,x12472,x12475)) % 183.16/183.19 [1248]~E(x12481,x12482)+E(f662(x12483,x12484,x12485,x12481),f662(x12483,x12484,x12485,x12482)) % 183.16/183.19 [1249]~E(x12491,x12492)+E(f405(x12491,x12493,x12494),f405(x12492,x12493,x12494)) % 183.16/183.19 [1250]~E(x12501,x12502)+E(f405(x12503,x12501,x12504),f405(x12503,x12502,x12504)) % 183.16/183.19 [1251]~E(x12511,x12512)+E(f405(x12513,x12514,x12511),f405(x12513,x12514,x12512)) % 183.16/183.19 [1252]~E(x12521,x12522)+E(f844(x12521,x12523,x12524,x12525,x12526,x12527),f844(x12522,x12523,x12524,x12525,x12526,x12527)) % 183.16/183.19 [1253]~E(x12531,x12532)+E(f844(x12533,x12531,x12534,x12535,x12536,x12537),f844(x12533,x12532,x12534,x12535,x12536,x12537)) % 183.16/183.19 [1254]~E(x12541,x12542)+E(f844(x12543,x12544,x12541,x12545,x12546,x12547),f844(x12543,x12544,x12542,x12545,x12546,x12547)) % 183.16/183.19 [1255]~E(x12551,x12552)+E(f844(x12553,x12554,x12555,x12551,x12556,x12557),f844(x12553,x12554,x12555,x12552,x12556,x12557)) % 183.16/183.19 [1256]~E(x12561,x12562)+E(f844(x12563,x12564,x12565,x12566,x12561,x12567),f844(x12563,x12564,x12565,x12566,x12562,x12567)) % 183.16/183.19 [1257]~E(x12571,x12572)+E(f844(x12573,x12574,x12575,x12576,x12577,x12571),f844(x12573,x12574,x12575,x12576,x12577,x12572)) % 183.16/183.19 [1258]~E(x12581,x12582)+E(f293(x12581,x12583),f293(x12582,x12583)) % 183.16/183.19 [1259]~E(x12591,x12592)+E(f293(x12593,x12591),f293(x12593,x12592)) % 183.16/183.19 [1260]~E(x12601,x12602)+E(f740(x12601,x12603,x12604),f740(x12602,x12603,x12604)) % 183.16/183.19 [1261]~E(x12611,x12612)+E(f740(x12613,x12611,x12614),f740(x12613,x12612,x12614)) % 183.16/183.19 [1262]~E(x12621,x12622)+E(f740(x12623,x12624,x12621),f740(x12623,x12624,x12622)) % 183.16/183.19 [1263]~E(x12631,x12632)+E(f599(x12631,x12633),f599(x12632,x12633)) % 183.16/183.19 [1264]~E(x12641,x12642)+E(f599(x12643,x12641),f599(x12643,x12642)) % 183.16/183.19 [1265]~E(x12651,x12652)+E(f664(x12651,x12653,x12654,x12655,x12656,x12657),f664(x12652,x12653,x12654,x12655,x12656,x12657)) % 183.16/183.19 [1266]~E(x12661,x12662)+E(f664(x12663,x12661,x12664,x12665,x12666,x12667),f664(x12663,x12662,x12664,x12665,x12666,x12667)) % 183.16/183.19 [1267]~E(x12671,x12672)+E(f664(x12673,x12674,x12671,x12675,x12676,x12677),f664(x12673,x12674,x12672,x12675,x12676,x12677)) % 183.16/183.19 [1268]~E(x12681,x12682)+E(f664(x12683,x12684,x12685,x12681,x12686,x12687),f664(x12683,x12684,x12685,x12682,x12686,x12687)) % 183.16/183.19 [1269]~E(x12691,x12692)+E(f664(x12693,x12694,x12695,x12696,x12691,x12697),f664(x12693,x12694,x12695,x12696,x12692,x12697)) % 183.16/183.19 [1270]~E(x12701,x12702)+E(f664(x12703,x12704,x12705,x12706,x12707,x12701),f664(x12703,x12704,x12705,x12706,x12707,x12702)) % 183.16/183.19 [1271]~E(x12711,x12712)+E(f314(x12711,x12713),f314(x12712,x12713)) % 183.16/183.19 [1272]~E(x12721,x12722)+E(f314(x12723,x12721),f314(x12723,x12722)) % 183.16/183.19 [1273]~E(x12731,x12732)+E(f665(x12731,x12733,x12734,x12735,x12736,x12737),f665(x12732,x12733,x12734,x12735,x12736,x12737)) % 183.16/183.19 [1274]~E(x12741,x12742)+E(f665(x12743,x12741,x12744,x12745,x12746,x12747),f665(x12743,x12742,x12744,x12745,x12746,x12747)) % 183.16/183.19 [1275]~E(x12751,x12752)+E(f665(x12753,x12754,x12751,x12755,x12756,x12757),f665(x12753,x12754,x12752,x12755,x12756,x12757)) % 183.16/183.19 [1276]~E(x12761,x12762)+E(f665(x12763,x12764,x12765,x12761,x12766,x12767),f665(x12763,x12764,x12765,x12762,x12766,x12767)) % 183.16/183.19 [1277]~E(x12771,x12772)+E(f665(x12773,x12774,x12775,x12776,x12771,x12777),f665(x12773,x12774,x12775,x12776,x12772,x12777)) % 183.16/183.19 [1278]~E(x12781,x12782)+E(f665(x12783,x12784,x12785,x12786,x12787,x12781),f665(x12783,x12784,x12785,x12786,x12787,x12782)) % 183.16/183.19 [1279]~E(x12791,x12792)+E(f544(x12791,x12793,x12794),f544(x12792,x12793,x12794)) % 183.16/183.19 [1280]~E(x12801,x12802)+E(f544(x12803,x12801,x12804),f544(x12803,x12802,x12804)) % 183.16/183.19 [1281]~E(x12811,x12812)+E(f544(x12813,x12814,x12811),f544(x12813,x12814,x12812)) % 183.16/183.19 [1282]~E(x12821,x12822)+E(f460(x12821,x12823,x12824,x12825,x12826),f460(x12822,x12823,x12824,x12825,x12826)) % 183.16/183.19 [1283]~E(x12831,x12832)+E(f460(x12833,x12831,x12834,x12835,x12836),f460(x12833,x12832,x12834,x12835,x12836)) % 183.16/183.19 [1284]~E(x12841,x12842)+E(f460(x12843,x12844,x12841,x12845,x12846),f460(x12843,x12844,x12842,x12845,x12846)) % 183.16/183.19 [1285]~E(x12851,x12852)+E(f460(x12853,x12854,x12855,x12851,x12856),f460(x12853,x12854,x12855,x12852,x12856)) % 183.16/183.19 [1286]~E(x12861,x12862)+E(f460(x12863,x12864,x12865,x12866,x12861),f460(x12863,x12864,x12865,x12866,x12862)) % 183.16/183.19 [1287]~E(x12871,x12872)+E(f128(x12871,x12873,x12874),f128(x12872,x12873,x12874)) % 183.16/183.19 [1288]~E(x12881,x12882)+E(f128(x12883,x12881,x12884),f128(x12883,x12882,x12884)) % 183.16/183.19 [1289]~E(x12891,x12892)+E(f128(x12893,x12894,x12891),f128(x12893,x12894,x12892)) % 183.16/183.19 [1290]~E(x12901,x12902)+E(f502(x12901,x12903),f502(x12902,x12903)) % 183.16/183.19 [1291]~E(x12911,x12912)+E(f502(x12913,x12911),f502(x12913,x12912)) % 183.16/183.19 [1292]~E(x12921,x12922)+E(f547(x12921,x12923,x12924),f547(x12922,x12923,x12924)) % 183.16/183.19 [1293]~E(x12931,x12932)+E(f547(x12933,x12931,x12934),f547(x12933,x12932,x12934)) % 183.16/183.19 [1294]~E(x12941,x12942)+E(f547(x12943,x12944,x12941),f547(x12943,x12944,x12942)) % 183.16/183.19 [1295]~E(x12951,x12952)+E(f294(x12951,x12953,x12954),f294(x12952,x12953,x12954)) % 183.16/183.19 [1296]~E(x12961,x12962)+E(f294(x12963,x12961,x12964),f294(x12963,x12962,x12964)) % 183.16/183.19 [1297]~E(x12971,x12972)+E(f294(x12973,x12974,x12971),f294(x12973,x12974,x12972)) % 183.16/183.19 [1298]~E(x12981,x12982)+E(f216(x12981),f216(x12982)) % 183.16/183.19 [1299]~E(x12991,x12992)+E(f822(x12991,x12993,x12994),f822(x12992,x12993,x12994)) % 183.16/183.19 [1300]~E(x13001,x13002)+E(f822(x13003,x13001,x13004),f822(x13003,x13002,x13004)) % 183.16/183.19 [1301]~E(x13011,x13012)+E(f822(x13013,x13014,x13011),f822(x13013,x13014,x13012)) % 183.16/183.19 [1302]~E(x13021,x13022)+E(f724(x13021,x13023),f724(x13022,x13023)) % 183.16/183.19 [1303]~E(x13031,x13032)+E(f724(x13033,x13031),f724(x13033,x13032)) % 183.16/183.19 [1304]~E(x13041,x13042)+E(f262(x13041,x13043,x13044),f262(x13042,x13043,x13044)) % 183.16/183.19 [1305]~E(x13051,x13052)+E(f262(x13053,x13051,x13054),f262(x13053,x13052,x13054)) % 183.16/183.19 [1306]~E(x13061,x13062)+E(f262(x13063,x13064,x13061),f262(x13063,x13064,x13062)) % 183.16/183.19 [1307]~E(x13071,x13072)+E(f692(x13071,x13073,x13074,x13075),f692(x13072,x13073,x13074,x13075)) % 183.16/183.19 [1308]~E(x13081,x13082)+E(f692(x13083,x13081,x13084,x13085),f692(x13083,x13082,x13084,x13085)) % 183.16/183.19 [1309]~E(x13091,x13092)+E(f692(x13093,x13094,x13091,x13095),f692(x13093,x13094,x13092,x13095)) % 183.16/183.19 [1310]~E(x13101,x13102)+E(f692(x13103,x13104,x13105,x13101),f692(x13103,x13104,x13105,x13102)) % 183.16/183.19 [1311]~E(x13111,x13112)+E(f506(x13111,x13113),f506(x13112,x13113)) % 183.16/183.19 [1312]~E(x13121,x13122)+E(f506(x13123,x13121),f506(x13123,x13122)) % 183.16/183.19 [1313]~E(x13131,x13132)+E(f863(x13131,x13133,x13134),f863(x13132,x13133,x13134)) % 183.16/183.19 [1314]~E(x13141,x13142)+E(f863(x13143,x13141,x13144),f863(x13143,x13142,x13144)) % 183.16/183.19 [1315]~E(x13151,x13152)+E(f863(x13153,x13154,x13151),f863(x13153,x13154,x13152)) % 183.16/183.19 [1316]~E(x13161,x13162)+E(f481(x13161,x13163,x13164,x13165,x13166),f481(x13162,x13163,x13164,x13165,x13166)) % 183.16/183.19 [1317]~E(x13171,x13172)+E(f481(x13173,x13171,x13174,x13175,x13176),f481(x13173,x13172,x13174,x13175,x13176)) % 183.16/183.19 [1318]~E(x13181,x13182)+E(f481(x13183,x13184,x13181,x13185,x13186),f481(x13183,x13184,x13182,x13185,x13186)) % 183.16/183.19 [1319]~E(x13191,x13192)+E(f481(x13193,x13194,x13195,x13191,x13196),f481(x13193,x13194,x13195,x13192,x13196)) % 183.16/183.19 [1320]~E(x13201,x13202)+E(f481(x13203,x13204,x13205,x13206,x13201),f481(x13203,x13204,x13205,x13206,x13202)) % 183.16/183.19 [1321]~E(x13211,x13212)+E(f684(x13211,x13213,x13214,x13215),f684(x13212,x13213,x13214,x13215)) % 183.16/183.19 [1322]~E(x13221,x13222)+E(f684(x13223,x13221,x13224,x13225),f684(x13223,x13222,x13224,x13225)) % 183.16/183.19 [1323]~E(x13231,x13232)+E(f684(x13233,x13234,x13231,x13235),f684(x13233,x13234,x13232,x13235)) % 183.16/183.19 [1324]~E(x13241,x13242)+E(f684(x13243,x13244,x13245,x13241),f684(x13243,x13244,x13245,x13242)) % 183.16/183.19 [1325]~E(x13251,x13252)+E(f278(x13251),f278(x13252)) % 183.16/183.19 [1326]~E(x13261,x13262)+E(f597(x13261,x13263,x13264,x13265),f597(x13262,x13263,x13264,x13265)) % 183.16/183.19 [1327]~E(x13271,x13272)+E(f597(x13273,x13271,x13274,x13275),f597(x13273,x13272,x13274,x13275)) % 183.16/183.19 [1328]~E(x13281,x13282)+E(f597(x13283,x13284,x13281,x13285),f597(x13283,x13284,x13282,x13285)) % 183.16/183.19 [1329]~E(x13291,x13292)+E(f597(x13293,x13294,x13295,x13291),f597(x13293,x13294,x13295,x13292)) % 183.16/183.19 [1330]~E(x13301,x13302)+E(f617(x13301,x13303,x13304),f617(x13302,x13303,x13304)) % 183.16/183.19 [1331]~E(x13311,x13312)+E(f617(x13313,x13311,x13314),f617(x13313,x13312,x13314)) % 183.16/183.19 [1332]~E(x13321,x13322)+E(f617(x13323,x13324,x13321),f617(x13323,x13324,x13322)) % 183.16/183.19 [1333]~E(x13331,x13332)+E(f483(x13331,x13333,x13334,x13335),f483(x13332,x13333,x13334,x13335)) % 183.16/183.19 [1334]~E(x13341,x13342)+E(f483(x13343,x13341,x13344,x13345),f483(x13343,x13342,x13344,x13345)) % 183.16/183.19 [1335]~E(x13351,x13352)+E(f483(x13353,x13354,x13351,x13355),f483(x13353,x13354,x13352,x13355)) % 183.16/183.19 [1336]~E(x13361,x13362)+E(f483(x13363,x13364,x13365,x13361),f483(x13363,x13364,x13365,x13362)) % 183.16/183.19 [1337]~E(x13371,x13372)+E(f387(x13371,x13373,x13374,x13375,x13376,x13377,x13378,x13379),f387(x13372,x13373,x13374,x13375,x13376,x13377,x13378,x13379)) % 183.16/183.19 [1338]~E(x13381,x13382)+E(f387(x13383,x13381,x13384,x13385,x13386,x13387,x13388,x13389),f387(x13383,x13382,x13384,x13385,x13386,x13387,x13388,x13389)) % 183.16/183.19 [1339]~E(x13391,x13392)+E(f387(x13393,x13394,x13391,x13395,x13396,x13397,x13398,x13399),f387(x13393,x13394,x13392,x13395,x13396,x13397,x13398,x13399)) % 183.16/183.19 [1340]~E(x13401,x13402)+E(f387(x13403,x13404,x13405,x13401,x13406,x13407,x13408,x13409),f387(x13403,x13404,x13405,x13402,x13406,x13407,x13408,x13409)) % 183.16/183.19 [1341]~E(x13411,x13412)+E(f387(x13413,x13414,x13415,x13416,x13411,x13417,x13418,x13419),f387(x13413,x13414,x13415,x13416,x13412,x13417,x13418,x13419)) % 183.16/183.19 [1342]~E(x13421,x13422)+E(f387(x13423,x13424,x13425,x13426,x13427,x13421,x13428,x13429),f387(x13423,x13424,x13425,x13426,x13427,x13422,x13428,x13429)) % 183.16/183.19 [1343]~E(x13431,x13432)+E(f387(x13433,x13434,x13435,x13436,x13437,x13438,x13431,x13439),f387(x13433,x13434,x13435,x13436,x13437,x13438,x13432,x13439)) % 183.16/183.19 [1344]~E(x13441,x13442)+E(f387(x13443,x13444,x13445,x13446,x13447,x13448,x13449,x13441),f387(x13443,x13444,x13445,x13446,x13447,x13448,x13449,x13442)) % 183.16/183.19 [1345]~E(x13451,x13452)+E(f283(x13451,x13453,x13454),f283(x13452,x13453,x13454)) % 183.16/183.19 [1346]~E(x13461,x13462)+E(f283(x13463,x13461,x13464),f283(x13463,x13462,x13464)) % 183.16/183.19 [1347]~E(x13471,x13472)+E(f283(x13473,x13474,x13471),f283(x13473,x13474,x13472)) % 183.16/183.19 [1348]~E(x13481,x13482)+E(f702(x13481,x13483,x13484,x13485),f702(x13482,x13483,x13484,x13485)) % 183.16/183.19 [1349]~E(x13491,x13492)+E(f702(x13493,x13491,x13494,x13495),f702(x13493,x13492,x13494,x13495)) % 183.16/183.19 [1350]~E(x13501,x13502)+E(f702(x13503,x13504,x13501,x13505),f702(x13503,x13504,x13502,x13505)) % 183.16/183.19 [1351]~E(x13511,x13512)+E(f702(x13513,x13514,x13515,x13511),f702(x13513,x13514,x13515,x13512)) % 183.16/183.19 [1352]~E(x13521,x13522)+E(f827(x13521,x13523,x13524,x13525),f827(x13522,x13523,x13524,x13525)) % 183.16/183.19 [1353]~E(x13531,x13532)+E(f827(x13533,x13531,x13534,x13535),f827(x13533,x13532,x13534,x13535)) % 183.16/183.19 [1354]~E(x13541,x13542)+E(f827(x13543,x13544,x13541,x13545),f827(x13543,x13544,x13542,x13545)) % 183.16/183.19 [1355]~E(x13551,x13552)+E(f827(x13553,x13554,x13555,x13551),f827(x13553,x13554,x13555,x13552)) % 183.16/183.19 [1356]~E(x13561,x13562)+E(f479(x13561,x13563,x13564,x13565),f479(x13562,x13563,x13564,x13565)) % 183.16/183.19 [1357]~E(x13571,x13572)+E(f479(x13573,x13571,x13574,x13575),f479(x13573,x13572,x13574,x13575)) % 183.16/183.19 [1358]~E(x13581,x13582)+E(f479(x13583,x13584,x13581,x13585),f479(x13583,x13584,x13582,x13585)) % 183.16/183.19 [1359]~E(x13591,x13592)+E(f479(x13593,x13594,x13595,x13591),f479(x13593,x13594,x13595,x13592)) % 183.16/183.19 [1360]~E(x13601,x13602)+E(f482(x13601,x13603,x13604,x13605),f482(x13602,x13603,x13604,x13605)) % 183.16/183.19 [1361]~E(x13611,x13612)+E(f482(x13613,x13611,x13614,x13615),f482(x13613,x13612,x13614,x13615)) % 183.16/183.19 [1362]~E(x13621,x13622)+E(f482(x13623,x13624,x13621,x13625),f482(x13623,x13624,x13622,x13625)) % 183.16/183.19 [1363]~E(x13631,x13632)+E(f482(x13633,x13634,x13635,x13631),f482(x13633,x13634,x13635,x13632)) % 183.16/183.19 [1364]~E(x13641,x13642)+E(f192(x13641,x13643,x13644),f192(x13642,x13643,x13644)) % 183.16/183.19 [1365]~E(x13651,x13652)+E(f192(x13653,x13651,x13654),f192(x13653,x13652,x13654)) % 183.16/183.19 [1366]~E(x13661,x13662)+E(f192(x13663,x13664,x13661),f192(x13663,x13664,x13662)) % 183.16/183.19 [1367]~E(x13671,x13672)+E(f407(x13671),f407(x13672)) % 183.16/183.19 [1368]~E(x13681,x13682)+E(f545(x13681,x13683,x13684),f545(x13682,x13683,x13684)) % 183.16/183.19 [1369]~E(x13691,x13692)+E(f545(x13693,x13691,x13694),f545(x13693,x13692,x13694)) % 183.16/183.19 [1370]~E(x13701,x13702)+E(f545(x13703,x13704,x13701),f545(x13703,x13704,x13702)) % 183.16/183.19 [1371]~E(x13711,x13712)+E(f587(x13711,x13713,x13714,x13715,x13716,x13717,x13718,x13719),f587(x13712,x13713,x13714,x13715,x13716,x13717,x13718,x13719)) % 183.16/183.19 [1372]~E(x13721,x13722)+E(f587(x13723,x13721,x13724,x13725,x13726,x13727,x13728,x13729),f587(x13723,x13722,x13724,x13725,x13726,x13727,x13728,x13729)) % 183.16/183.19 [1373]~E(x13731,x13732)+E(f587(x13733,x13734,x13731,x13735,x13736,x13737,x13738,x13739),f587(x13733,x13734,x13732,x13735,x13736,x13737,x13738,x13739)) % 183.16/183.19 [1374]~E(x13741,x13742)+E(f587(x13743,x13744,x13745,x13741,x13746,x13747,x13748,x13749),f587(x13743,x13744,x13745,x13742,x13746,x13747,x13748,x13749)) % 183.16/183.19 [1375]~E(x13751,x13752)+E(f587(x13753,x13754,x13755,x13756,x13751,x13757,x13758,x13759),f587(x13753,x13754,x13755,x13756,x13752,x13757,x13758,x13759)) % 183.16/183.19 [1376]~E(x13761,x13762)+E(f587(x13763,x13764,x13765,x13766,x13767,x13761,x13768,x13769),f587(x13763,x13764,x13765,x13766,x13767,x13762,x13768,x13769)) % 183.16/183.19 [1377]~E(x13771,x13772)+E(f587(x13773,x13774,x13775,x13776,x13777,x13778,x13771,x13779),f587(x13773,x13774,x13775,x13776,x13777,x13778,x13772,x13779)) % 183.16/183.19 [1378]~E(x13781,x13782)+E(f587(x13783,x13784,x13785,x13786,x13787,x13788,x13789,x13781),f587(x13783,x13784,x13785,x13786,x13787,x13788,x13789,x13782)) % 183.16/183.19 [1379]~E(x13791,x13792)+E(f276(x13791,x13793,x13794,x13795,x13796),f276(x13792,x13793,x13794,x13795,x13796)) % 183.16/183.19 [1380]~E(x13801,x13802)+E(f276(x13803,x13801,x13804,x13805,x13806),f276(x13803,x13802,x13804,x13805,x13806)) % 183.16/183.19 [1381]~E(x13811,x13812)+E(f276(x13813,x13814,x13811,x13815,x13816),f276(x13813,x13814,x13812,x13815,x13816)) % 183.16/183.19 [1382]~E(x13821,x13822)+E(f276(x13823,x13824,x13825,x13821,x13826),f276(x13823,x13824,x13825,x13822,x13826)) % 183.16/183.19 [1383]~E(x13831,x13832)+E(f276(x13833,x13834,x13835,x13836,x13831),f276(x13833,x13834,x13835,x13836,x13832)) % 183.16/183.19 [1384]~E(x13841,x13842)+E(f780(x13841,x13843,x13844,x13845),f780(x13842,x13843,x13844,x13845)) % 183.16/183.19 [1385]~E(x13851,x13852)+E(f780(x13853,x13851,x13854,x13855),f780(x13853,x13852,x13854,x13855)) % 183.16/183.19 [1386]~E(x13861,x13862)+E(f780(x13863,x13864,x13861,x13865),f780(x13863,x13864,x13862,x13865)) % 183.16/183.19 [1387]~E(x13871,x13872)+E(f780(x13873,x13874,x13875,x13871),f780(x13873,x13874,x13875,x13872)) % 183.16/183.19 [1388]~E(x13881,x13882)+E(f468(x13881,x13883,x13884),f468(x13882,x13883,x13884)) % 183.16/183.19 [1389]~E(x13891,x13892)+E(f468(x13893,x13891,x13894),f468(x13893,x13892,x13894)) % 183.16/183.19 [1390]~E(x13901,x13902)+E(f468(x13903,x13904,x13901),f468(x13903,x13904,x13902)) % 183.16/183.19 [1391]~E(x13911,x13912)+E(f835(x13911,x13913,x13914,x13915,x13916),f835(x13912,x13913,x13914,x13915,x13916)) % 183.16/183.19 [1392]~E(x13921,x13922)+E(f835(x13923,x13921,x13924,x13925,x13926),f835(x13923,x13922,x13924,x13925,x13926)) % 183.16/183.19 [1393]~E(x13931,x13932)+E(f835(x13933,x13934,x13931,x13935,x13936),f835(x13933,x13934,x13932,x13935,x13936)) % 183.16/183.19 [1394]~E(x13941,x13942)+E(f835(x13943,x13944,x13945,x13941,x13946),f835(x13943,x13944,x13945,x13942,x13946)) % 183.16/183.19 [1395]~E(x13951,x13952)+E(f835(x13953,x13954,x13955,x13956,x13951),f835(x13953,x13954,x13955,x13956,x13952)) % 183.16/183.19 [1396]~E(x13961,x13962)+E(f230(x13961,x13963),f230(x13962,x13963)) % 183.16/183.19 [1397]~E(x13971,x13972)+E(f230(x13973,x13971),f230(x13973,x13972)) % 183.16/183.19 [1398]~E(x13981,x13982)+E(f856(x13981,x13983,x13984,x13985,x13986,x13987),f856(x13982,x13983,x13984,x13985,x13986,x13987)) % 183.16/183.19 [1399]~E(x13991,x13992)+E(f856(x13993,x13991,x13994,x13995,x13996,x13997),f856(x13993,x13992,x13994,x13995,x13996,x13997)) % 183.16/183.19 [1400]~E(x14001,x14002)+E(f856(x14003,x14004,x14001,x14005,x14006,x14007),f856(x14003,x14004,x14002,x14005,x14006,x14007)) % 183.16/183.19 [1401]~E(x14011,x14012)+E(f856(x14013,x14014,x14015,x14011,x14016,x14017),f856(x14013,x14014,x14015,x14012,x14016,x14017)) % 183.16/183.19 [1402]~E(x14021,x14022)+E(f856(x14023,x14024,x14025,x14026,x14021,x14027),f856(x14023,x14024,x14025,x14026,x14022,x14027)) % 183.16/183.19 [1403]~E(x14031,x14032)+E(f856(x14033,x14034,x14035,x14036,x14037,x14031),f856(x14033,x14034,x14035,x14036,x14037,x14032)) % 183.16/183.19 [1404]~E(x14041,x14042)+E(f453(x14041,x14043),f453(x14042,x14043)) % 183.16/183.19 [1405]~E(x14051,x14052)+E(f453(x14053,x14051),f453(x14053,x14052)) % 183.16/183.19 [1406]~E(x14061,x14062)+E(f686(x14061,x14063),f686(x14062,x14063)) % 183.16/183.19 [1407]~E(x14071,x14072)+E(f686(x14073,x14071),f686(x14073,x14072)) % 183.16/183.19 [1408]~E(x14081,x14082)+E(f163(x14081,x14083),f163(x14082,x14083)) % 183.16/183.19 [1409]~E(x14091,x14092)+E(f163(x14093,x14091),f163(x14093,x14092)) % 183.16/183.19 [1410]~E(x14101,x14102)+E(f357(x14101,x14103,x14104,x14105),f357(x14102,x14103,x14104,x14105)) % 183.16/183.19 [1411]~E(x14111,x14112)+E(f357(x14113,x14111,x14114,x14115),f357(x14113,x14112,x14114,x14115)) % 183.16/183.19 [1412]~E(x14121,x14122)+E(f357(x14123,x14124,x14121,x14125),f357(x14123,x14124,x14122,x14125)) % 183.16/183.19 [1413]~E(x14131,x14132)+E(f357(x14133,x14134,x14135,x14131),f357(x14133,x14134,x14135,x14132)) % 183.16/183.19 [1414]~E(x14141,x14142)+E(f528(x14141,x14143,x14144),f528(x14142,x14143,x14144)) % 183.16/183.19 [1415]~E(x14151,x14152)+E(f528(x14153,x14151,x14154),f528(x14153,x14152,x14154)) % 183.16/183.19 [1416]~E(x14161,x14162)+E(f528(x14163,x14164,x14161),f528(x14163,x14164,x14162)) % 183.16/183.19 [1417]~E(x14171,x14172)+E(f241(x14171,x14173,x14174),f241(x14172,x14173,x14174)) % 183.16/183.19 [1418]~E(x14181,x14182)+E(f241(x14183,x14181,x14184),f241(x14183,x14182,x14184)) % 183.16/183.19 [1419]~E(x14191,x14192)+E(f241(x14193,x14194,x14191),f241(x14193,x14194,x14192)) % 183.16/183.19 [1420]~E(x14201,x14202)+E(f443(x14201,x14203,x14204,x14205,x14206,x14207,x14208,x14209,x142010),f443(x14202,x14203,x14204,x14205,x14206,x14207,x14208,x14209,x142010)) % 183.16/183.19 [1421]~E(x14211,x14212)+E(f443(x14213,x14211,x14214,x14215,x14216,x14217,x14218,x14219,x142110),f443(x14213,x14212,x14214,x14215,x14216,x14217,x14218,x14219,x142110)) % 183.16/183.19 [1422]~E(x14221,x14222)+E(f443(x14223,x14224,x14221,x14225,x14226,x14227,x14228,x14229,x142210),f443(x14223,x14224,x14222,x14225,x14226,x14227,x14228,x14229,x142210)) % 183.16/183.19 [1423]~E(x14231,x14232)+E(f443(x14233,x14234,x14235,x14231,x14236,x14237,x14238,x14239,x142310),f443(x14233,x14234,x14235,x14232,x14236,x14237,x14238,x14239,x142310)) % 183.16/183.19 [1424]~E(x14241,x14242)+E(f443(x14243,x14244,x14245,x14246,x14241,x14247,x14248,x14249,x142410),f443(x14243,x14244,x14245,x14246,x14242,x14247,x14248,x14249,x142410)) % 183.16/183.19 [1425]~E(x14251,x14252)+E(f443(x14253,x14254,x14255,x14256,x14257,x14251,x14258,x14259,x142510),f443(x14253,x14254,x14255,x14256,x14257,x14252,x14258,x14259,x142510)) % 183.16/183.19 [1426]~E(x14261,x14262)+E(f443(x14263,x14264,x14265,x14266,x14267,x14268,x14261,x14269,x142610),f443(x14263,x14264,x14265,x14266,x14267,x14268,x14262,x14269,x142610)) % 183.16/183.19 [1427]~E(x14271,x14272)+E(f443(x14273,x14274,x14275,x14276,x14277,x14278,x14279,x14271,x142710),f443(x14273,x14274,x14275,x14276,x14277,x14278,x14279,x14272,x142710)) % 183.16/183.19 [1428]~E(x14281,x14282)+E(f443(x14283,x14284,x14285,x14286,x14287,x14288,x14289,x142810,x14281),f443(x14283,x14284,x14285,x14286,x14287,x14288,x14289,x142810,x14282)) % 183.16/183.19 [1429]~E(x14291,x14292)+E(f531(x14291,x14293,x14294,x14295),f531(x14292,x14293,x14294,x14295)) % 183.16/183.19 [1430]~E(x14301,x14302)+E(f531(x14303,x14301,x14304,x14305),f531(x14303,x14302,x14304,x14305)) % 183.16/183.19 [1431]~E(x14311,x14312)+E(f531(x14313,x14314,x14311,x14315),f531(x14313,x14314,x14312,x14315)) % 183.16/183.19 [1432]~E(x14321,x14322)+E(f531(x14323,x14324,x14325,x14321),f531(x14323,x14324,x14325,x14322)) % 183.16/183.19 [1433]~E(x14331,x14332)+E(f228(x14331,x14333),f228(x14332,x14333)) % 183.16/183.19 [1434]~E(x14341,x14342)+E(f228(x14343,x14341),f228(x14343,x14342)) % 183.16/183.19 [1435]~E(x14351,x14352)+E(f866(x14351,x14353,x14354,x14355),f866(x14352,x14353,x14354,x14355)) % 183.16/183.19 [1436]~E(x14361,x14362)+E(f866(x14363,x14361,x14364,x14365),f866(x14363,x14362,x14364,x14365)) % 183.16/183.19 [1437]~E(x14371,x14372)+E(f866(x14373,x14374,x14371,x14375),f866(x14373,x14374,x14372,x14375)) % 183.16/183.19 [1438]~E(x14381,x14382)+E(f866(x14383,x14384,x14385,x14381),f866(x14383,x14384,x14385,x14382)) % 183.16/183.19 [1439]~E(x14391,x14392)+E(f631(x14391,x14393,x14394),f631(x14392,x14393,x14394)) % 183.16/183.19 [1440]~E(x14401,x14402)+E(f631(x14403,x14401,x14404),f631(x14403,x14402,x14404)) % 183.16/183.19 [1441]~E(x14411,x14412)+E(f631(x14413,x14414,x14411),f631(x14413,x14414,x14412)) % 183.16/183.19 [1442]~E(x14421,x14422)+E(f188(x14421,x14423,x14424),f188(x14422,x14423,x14424)) % 183.16/183.19 [1443]~E(x14431,x14432)+E(f188(x14433,x14431,x14434),f188(x14433,x14432,x14434)) % 183.16/183.19 [1444]~E(x14441,x14442)+E(f188(x14443,x14444,x14441),f188(x14443,x14444,x14442)) % 183.16/183.19 [1445]~E(x14451,x14452)+E(f751(x14451,x14453),f751(x14452,x14453)) % 183.16/183.19 [1446]~E(x14461,x14462)+E(f751(x14463,x14461),f751(x14463,x14462)) % 183.16/183.19 [1447]~E(x14471,x14472)+E(f285(x14471,x14473,x14474,x14475),f285(x14472,x14473,x14474,x14475)) % 183.16/183.19 [1448]~E(x14481,x14482)+E(f285(x14483,x14481,x14484,x14485),f285(x14483,x14482,x14484,x14485)) % 183.16/183.19 [1449]~E(x14491,x14492)+E(f285(x14493,x14494,x14491,x14495),f285(x14493,x14494,x14492,x14495)) % 183.16/183.19 [1450]~E(x14501,x14502)+E(f285(x14503,x14504,x14505,x14501),f285(x14503,x14504,x14505,x14502)) % 183.16/183.19 [1451]~E(x14511,x14512)+E(f297(x14511,x14513,x14514,x14515),f297(x14512,x14513,x14514,x14515)) % 183.16/183.19 [1452]~E(x14521,x14522)+E(f297(x14523,x14521,x14524,x14525),f297(x14523,x14522,x14524,x14525)) % 183.16/183.19 [1453]~E(x14531,x14532)+E(f297(x14533,x14534,x14531,x14535),f297(x14533,x14534,x14532,x14535)) % 183.16/183.19 [1454]~E(x14541,x14542)+E(f297(x14543,x14544,x14545,x14541),f297(x14543,x14544,x14545,x14542)) % 183.16/183.19 [1455]~E(x14551,x14552)+E(f788(x14551,x14553,x14554,x14555,x14556,x14557,x14558),f788(x14552,x14553,x14554,x14555,x14556,x14557,x14558)) % 183.16/183.19 [1456]~E(x14561,x14562)+E(f788(x14563,x14561,x14564,x14565,x14566,x14567,x14568),f788(x14563,x14562,x14564,x14565,x14566,x14567,x14568)) % 183.16/183.19 [1457]~E(x14571,x14572)+E(f788(x14573,x14574,x14571,x14575,x14576,x14577,x14578),f788(x14573,x14574,x14572,x14575,x14576,x14577,x14578)) % 183.16/183.19 [1458]~E(x14581,x14582)+E(f788(x14583,x14584,x14585,x14581,x14586,x14587,x14588),f788(x14583,x14584,x14585,x14582,x14586,x14587,x14588)) % 183.16/183.19 [1459]~E(x14591,x14592)+E(f788(x14593,x14594,x14595,x14596,x14591,x14597,x14598),f788(x14593,x14594,x14595,x14596,x14592,x14597,x14598)) % 183.16/183.19 [1460]~E(x14601,x14602)+E(f788(x14603,x14604,x14605,x14606,x14607,x14601,x14608),f788(x14603,x14604,x14605,x14606,x14607,x14602,x14608)) % 183.16/183.19 [1461]~E(x14611,x14612)+E(f788(x14613,x14614,x14615,x14616,x14617,x14618,x14611),f788(x14613,x14614,x14615,x14616,x14617,x14618,x14612)) % 183.16/183.19 [1462]~E(x14621,x14622)+E(f381(x14621,x14623,x14624,x14625,x14626,x14627),f381(x14622,x14623,x14624,x14625,x14626,x14627)) % 183.16/183.19 [1463]~E(x14631,x14632)+E(f381(x14633,x14631,x14634,x14635,x14636,x14637),f381(x14633,x14632,x14634,x14635,x14636,x14637)) % 183.16/183.19 [1464]~E(x14641,x14642)+E(f381(x14643,x14644,x14641,x14645,x14646,x14647),f381(x14643,x14644,x14642,x14645,x14646,x14647)) % 183.16/183.19 [1465]~E(x14651,x14652)+E(f381(x14653,x14654,x14655,x14651,x14656,x14657),f381(x14653,x14654,x14655,x14652,x14656,x14657)) % 183.16/183.19 [1466]~E(x14661,x14662)+E(f381(x14663,x14664,x14665,x14666,x14661,x14667),f381(x14663,x14664,x14665,x14666,x14662,x14667)) % 183.16/183.19 [1467]~E(x14671,x14672)+E(f381(x14673,x14674,x14675,x14676,x14677,x14671),f381(x14673,x14674,x14675,x14676,x14677,x14672)) % 183.16/183.19 [1468]~E(x14681,x14682)+E(f679(x14681,x14683,x14684),f679(x14682,x14683,x14684)) % 183.16/183.19 [1469]~E(x14691,x14692)+E(f679(x14693,x14691,x14694),f679(x14693,x14692,x14694)) % 183.16/183.19 [1470]~E(x14701,x14702)+E(f679(x14703,x14704,x14701),f679(x14703,x14704,x14702)) % 183.16/183.19 [1471]~E(x14711,x14712)+E(f735(x14711,x14713,x14714,x14715),f735(x14712,x14713,x14714,x14715)) % 183.16/183.19 [1472]~E(x14721,x14722)+E(f735(x14723,x14721,x14724,x14725),f735(x14723,x14722,x14724,x14725)) % 183.16/183.19 [1473]~E(x14731,x14732)+E(f735(x14733,x14734,x14731,x14735),f735(x14733,x14734,x14732,x14735)) % 183.16/183.19 [1474]~E(x14741,x14742)+E(f735(x14743,x14744,x14745,x14741),f735(x14743,x14744,x14745,x14742)) % 183.16/183.19 [1475]~E(x14751,x14752)+E(f592(x14751,x14753,x14754),f592(x14752,x14753,x14754)) % 183.16/183.19 [1476]~E(x14761,x14762)+E(f592(x14763,x14761,x14764),f592(x14763,x14762,x14764)) % 183.16/183.19 [1477]~E(x14771,x14772)+E(f592(x14773,x14774,x14771),f592(x14773,x14774,x14772)) % 183.16/183.19 [1478]~E(x14781,x14782)+E(f789(x14781,x14783,x14784,x14785,x14786,x14787,x14788),f789(x14782,x14783,x14784,x14785,x14786,x14787,x14788)) % 183.16/183.19 [1479]~E(x14791,x14792)+E(f789(x14793,x14791,x14794,x14795,x14796,x14797,x14798),f789(x14793,x14792,x14794,x14795,x14796,x14797,x14798)) % 183.16/183.19 [1480]~E(x14801,x14802)+E(f789(x14803,x14804,x14801,x14805,x14806,x14807,x14808),f789(x14803,x14804,x14802,x14805,x14806,x14807,x14808)) % 183.16/183.19 [1481]~E(x14811,x14812)+E(f789(x14813,x14814,x14815,x14811,x14816,x14817,x14818),f789(x14813,x14814,x14815,x14812,x14816,x14817,x14818)) % 183.16/183.19 [1482]~E(x14821,x14822)+E(f789(x14823,x14824,x14825,x14826,x14821,x14827,x14828),f789(x14823,x14824,x14825,x14826,x14822,x14827,x14828)) % 183.16/183.19 [1483]~E(x14831,x14832)+E(f789(x14833,x14834,x14835,x14836,x14837,x14831,x14838),f789(x14833,x14834,x14835,x14836,x14837,x14832,x14838)) % 183.16/183.19 [1484]~E(x14841,x14842)+E(f789(x14843,x14844,x14845,x14846,x14847,x14848,x14841),f789(x14843,x14844,x14845,x14846,x14847,x14848,x14842)) % 183.16/183.19 [1485]~E(x14851,x14852)+E(f430(x14851,x14853,x14854,x14855),f430(x14852,x14853,x14854,x14855)) % 183.16/183.19 [1486]~E(x14861,x14862)+E(f430(x14863,x14861,x14864,x14865),f430(x14863,x14862,x14864,x14865)) % 183.16/183.19 [1487]~E(x14871,x14872)+E(f430(x14873,x14874,x14871,x14875),f430(x14873,x14874,x14872,x14875)) % 183.16/183.19 [1488]~E(x14881,x14882)+E(f430(x14883,x14884,x14885,x14881),f430(x14883,x14884,x14885,x14882)) % 183.16/183.19 [1489]~E(x14891,x14892)+E(f771(x14891,x14893,x14894,x14895,x14896),f771(x14892,x14893,x14894,x14895,x14896)) % 183.16/183.19 [1490]~E(x14901,x14902)+E(f771(x14903,x14901,x14904,x14905,x14906),f771(x14903,x14902,x14904,x14905,x14906)) % 183.16/183.19 [1491]~E(x14911,x14912)+E(f771(x14913,x14914,x14911,x14915,x14916),f771(x14913,x14914,x14912,x14915,x14916)) % 183.16/183.19 [1492]~E(x14921,x14922)+E(f771(x14923,x14924,x14925,x14921,x14926),f771(x14923,x14924,x14925,x14922,x14926)) % 183.16/183.19 [1493]~E(x14931,x14932)+E(f771(x14933,x14934,x14935,x14936,x14931),f771(x14933,x14934,x14935,x14936,x14932)) % 183.16/183.19 [1494]~E(x14941,x14942)+E(f832(x14941,x14943,x14944,x14945),f832(x14942,x14943,x14944,x14945)) % 183.16/183.19 [1495]~E(x14951,x14952)+E(f832(x14953,x14951,x14954,x14955),f832(x14953,x14952,x14954,x14955)) % 183.16/183.19 [1496]~E(x14961,x14962)+E(f832(x14963,x14964,x14961,x14965),f832(x14963,x14964,x14962,x14965)) % 183.16/183.19 [1497]~E(x14971,x14972)+E(f832(x14973,x14974,x14975,x14971),f832(x14973,x14974,x14975,x14972)) % 183.16/183.19 [1498]~E(x14981,x14982)+E(f214(x14981,x14983),f214(x14982,x14983)) % 183.16/183.19 [1499]~E(x14991,x14992)+E(f214(x14993,x14991),f214(x14993,x14992)) % 183.16/183.19 [1500]~E(x15001,x15002)+E(f281(x15001,x15003),f281(x15002,x15003)) % 183.16/183.19 [1501]~E(x15011,x15012)+E(f281(x15013,x15011),f281(x15013,x15012)) % 183.16/183.19 [1502]~E(x15021,x15022)+E(f769(x15021,x15023,x15024,x15025),f769(x15022,x15023,x15024,x15025)) % 183.16/183.19 [1503]~E(x15031,x15032)+E(f769(x15033,x15031,x15034,x15035),f769(x15033,x15032,x15034,x15035)) % 183.16/183.19 [1504]~E(x15041,x15042)+E(f769(x15043,x15044,x15041,x15045),f769(x15043,x15044,x15042,x15045)) % 183.16/183.19 [1505]~E(x15051,x15052)+E(f769(x15053,x15054,x15055,x15051),f769(x15053,x15054,x15055,x15052)) % 183.16/183.19 [1506]~E(x15061,x15062)+E(f447(x15061,x15063,x15064,x15065),f447(x15062,x15063,x15064,x15065)) % 183.16/183.19 [1507]~E(x15071,x15072)+E(f447(x15073,x15071,x15074,x15075),f447(x15073,x15072,x15074,x15075)) % 183.16/183.19 [1508]~E(x15081,x15082)+E(f447(x15083,x15084,x15081,x15085),f447(x15083,x15084,x15082,x15085)) % 183.16/183.19 [1509]~E(x15091,x15092)+E(f447(x15093,x15094,x15095,x15091),f447(x15093,x15094,x15095,x15092)) % 183.16/183.19 [1510]~E(x15101,x15102)+E(f831(x15101,x15103,x15104),f831(x15102,x15103,x15104)) % 183.16/183.19 [1511]~E(x15111,x15112)+E(f831(x15113,x15111,x15114),f831(x15113,x15112,x15114)) % 183.16/183.19 [1512]~E(x15121,x15122)+E(f831(x15123,x15124,x15121),f831(x15123,x15124,x15122)) % 183.16/183.19 [1513]~E(x15131,x15132)+E(f475(x15131,x15133,x15134),f475(x15132,x15133,x15134)) % 183.16/183.19 [1514]~E(x15141,x15142)+E(f475(x15143,x15141,x15144),f475(x15143,x15142,x15144)) % 183.16/183.19 [1515]~E(x15151,x15152)+E(f475(x15153,x15154,x15151),f475(x15153,x15154,x15152)) % 183.16/183.19 [1516]~E(x15161,x15162)+E(f620(x15161,x15163),f620(x15162,x15163)) % 183.16/183.19 [1517]~E(x15171,x15172)+E(f620(x15173,x15171),f620(x15173,x15172)) % 183.16/183.19 [1518]~E(x15181,x15182)+E(f734(x15181,x15183,x15184,x15185),f734(x15182,x15183,x15184,x15185)) % 183.16/183.19 [1519]~E(x15191,x15192)+E(f734(x15193,x15191,x15194,x15195),f734(x15193,x15192,x15194,x15195)) % 183.16/183.19 [1520]~E(x15201,x15202)+E(f734(x15203,x15204,x15201,x15205),f734(x15203,x15204,x15202,x15205)) % 183.16/183.19 [1521]~E(x15211,x15212)+E(f734(x15213,x15214,x15215,x15211),f734(x15213,x15214,x15215,x15212)) % 183.16/183.19 [1522]~E(x15221,x15222)+E(f633(x15221,x15223,x15224),f633(x15222,x15223,x15224)) % 183.16/183.19 [1523]~E(x15231,x15232)+E(f633(x15233,x15231,x15234),f633(x15233,x15232,x15234)) % 183.16/183.19 [1524]~E(x15241,x15242)+E(f633(x15243,x15244,x15241),f633(x15243,x15244,x15242)) % 183.16/183.19 [1525]~E(x15251,x15252)+E(f59(x15251,x15253,x15254,x15255),f59(x15252,x15253,x15254,x15255)) % 183.16/183.19 [1526]~E(x15261,x15262)+E(f59(x15263,x15261,x15264,x15265),f59(x15263,x15262,x15264,x15265)) % 183.16/183.19 [1527]~E(x15271,x15272)+E(f59(x15273,x15274,x15271,x15275),f59(x15273,x15274,x15272,x15275)) % 183.16/183.19 [1528]~E(x15281,x15282)+E(f59(x15283,x15284,x15285,x15281),f59(x15283,x15284,x15285,x15282)) % 183.16/183.19 [1529]~E(x15291,x15292)+E(f500(x15291,x15293,x15294),f500(x15292,x15293,x15294)) % 183.16/183.19 [1530]~E(x15301,x15302)+E(f500(x15303,x15301,x15304),f500(x15303,x15302,x15304)) % 183.16/183.19 [1531]~E(x15311,x15312)+E(f500(x15313,x15314,x15311),f500(x15313,x15314,x15312)) % 183.16/183.19 [1532]~E(x15321,x15322)+E(f510(x15321,x15323,x15324),f510(x15322,x15323,x15324)) % 183.16/183.19 [1533]~E(x15331,x15332)+E(f510(x15333,x15331,x15334),f510(x15333,x15332,x15334)) % 183.16/183.19 [1534]~E(x15341,x15342)+E(f510(x15343,x15344,x15341),f510(x15343,x15344,x15342)) % 183.16/183.19 [1535]~E(x15351,x15352)+E(f836(x15351,x15353,x15354,x15355,x15356),f836(x15352,x15353,x15354,x15355,x15356)) % 183.16/183.19 [1536]~E(x15361,x15362)+E(f836(x15363,x15361,x15364,x15365,x15366),f836(x15363,x15362,x15364,x15365,x15366)) % 183.16/183.19 [1537]~E(x15371,x15372)+E(f836(x15373,x15374,x15371,x15375,x15376),f836(x15373,x15374,x15372,x15375,x15376)) % 183.16/183.19 [1538]~E(x15381,x15382)+E(f836(x15383,x15384,x15385,x15381,x15386),f836(x15383,x15384,x15385,x15382,x15386)) % 183.16/183.19 [1539]~E(x15391,x15392)+E(f836(x15393,x15394,x15395,x15396,x15391),f836(x15393,x15394,x15395,x15396,x15392)) % 183.16/183.19 [1540]~E(x15401,x15402)+E(f648(x15401,x15403,x15404,x15405,x15406),f648(x15402,x15403,x15404,x15405,x15406)) % 183.16/183.19 [1541]~E(x15411,x15412)+E(f648(x15413,x15411,x15414,x15415,x15416),f648(x15413,x15412,x15414,x15415,x15416)) % 183.16/183.19 [1542]~E(x15421,x15422)+E(f648(x15423,x15424,x15421,x15425,x15426),f648(x15423,x15424,x15422,x15425,x15426)) % 183.16/183.19 [1543]~E(x15431,x15432)+E(f648(x15433,x15434,x15435,x15431,x15436),f648(x15433,x15434,x15435,x15432,x15436)) % 183.16/183.19 [1544]~E(x15441,x15442)+E(f648(x15443,x15444,x15445,x15446,x15441),f648(x15443,x15444,x15445,x15446,x15442)) % 183.16/183.19 [1545]~E(x15451,x15452)+E(f797(x15451,x15453,x15454),f797(x15452,x15453,x15454)) % 183.16/183.19 [1546]~E(x15461,x15462)+E(f797(x15463,x15461,x15464),f797(x15463,x15462,x15464)) % 183.16/183.19 [1547]~E(x15471,x15472)+E(f797(x15473,x15474,x15471),f797(x15473,x15474,x15472)) % 183.16/183.19 [1548]~E(x15481,x15482)+E(f548(x15481,x15483,x15484),f548(x15482,x15483,x15484)) % 183.16/183.19 [1549]~E(x15491,x15492)+E(f548(x15493,x15491,x15494),f548(x15493,x15492,x15494)) % 183.16/183.19 [1550]~E(x15501,x15502)+E(f548(x15503,x15504,x15501),f548(x15503,x15504,x15502)) % 183.16/183.19 [1551]~E(x15511,x15512)+E(f409(x15511,x15513,x15514,x15515),f409(x15512,x15513,x15514,x15515)) % 183.16/183.19 [1552]~E(x15521,x15522)+E(f409(x15523,x15521,x15524,x15525),f409(x15523,x15522,x15524,x15525)) % 183.16/183.19 [1553]~E(x15531,x15532)+E(f409(x15533,x15534,x15531,x15535),f409(x15533,x15534,x15532,x15535)) % 183.16/183.19 [1554]~E(x15541,x15542)+E(f409(x15543,x15544,x15545,x15541),f409(x15543,x15544,x15545,x15542)) % 183.16/183.19 [1555]~E(x15551,x15552)+E(f803(x15551,x15553,x15554,x15555),f803(x15552,x15553,x15554,x15555)) % 183.16/183.19 [1556]~E(x15561,x15562)+E(f803(x15563,x15561,x15564,x15565),f803(x15563,x15562,x15564,x15565)) % 183.16/183.19 [1557]~E(x15571,x15572)+E(f803(x15573,x15574,x15571,x15575),f803(x15573,x15574,x15572,x15575)) % 183.16/183.19 [1558]~E(x15581,x15582)+E(f803(x15583,x15584,x15585,x15581),f803(x15583,x15584,x15585,x15582)) % 183.16/183.19 [1559]~E(x15591,x15592)+E(f712(x15591,x15593,x15594,x15595,x15596),f712(x15592,x15593,x15594,x15595,x15596)) % 183.16/183.19 [1560]~E(x15601,x15602)+E(f712(x15603,x15601,x15604,x15605,x15606),f712(x15603,x15602,x15604,x15605,x15606)) % 183.16/183.19 [1561]~E(x15611,x15612)+E(f712(x15613,x15614,x15611,x15615,x15616),f712(x15613,x15614,x15612,x15615,x15616)) % 183.16/183.19 [1562]~E(x15621,x15622)+E(f712(x15623,x15624,x15625,x15621,x15626),f712(x15623,x15624,x15625,x15622,x15626)) % 183.16/183.19 [1563]~E(x15631,x15632)+E(f712(x15633,x15634,x15635,x15636,x15631),f712(x15633,x15634,x15635,x15636,x15632)) % 183.16/183.19 [1564]~E(x15641,x15642)+E(f576(x15641,x15643),f576(x15642,x15643)) % 183.16/183.19 [1565]~E(x15651,x15652)+E(f576(x15653,x15651),f576(x15653,x15652)) % 183.16/183.19 [1566]~E(x15661,x15662)+E(f581(x15661,x15663,x15664,x15665,x15666,x15667),f581(x15662,x15663,x15664,x15665,x15666,x15667)) % 183.16/183.19 [1567]~E(x15671,x15672)+E(f581(x15673,x15671,x15674,x15675,x15676,x15677),f581(x15673,x15672,x15674,x15675,x15676,x15677)) % 183.16/183.19 [1568]~E(x15681,x15682)+E(f581(x15683,x15684,x15681,x15685,x15686,x15687),f581(x15683,x15684,x15682,x15685,x15686,x15687)) % 183.16/183.19 [1569]~E(x15691,x15692)+E(f581(x15693,x15694,x15695,x15691,x15696,x15697),f581(x15693,x15694,x15695,x15692,x15696,x15697)) % 183.16/183.19 [1570]~E(x15701,x15702)+E(f581(x15703,x15704,x15705,x15706,x15701,x15707),f581(x15703,x15704,x15705,x15706,x15702,x15707)) % 183.16/183.19 [1571]~E(x15711,x15712)+E(f581(x15713,x15714,x15715,x15716,x15717,x15711),f581(x15713,x15714,x15715,x15716,x15717,x15712)) % 183.16/183.19 [1572]~E(x15721,x15722)+E(f746(x15721,x15723,x15724),f746(x15722,x15723,x15724)) % 183.16/183.19 [1573]~E(x15731,x15732)+E(f746(x15733,x15731,x15734),f746(x15733,x15732,x15734)) % 183.16/183.19 [1574]~E(x15741,x15742)+E(f746(x15743,x15744,x15741),f746(x15743,x15744,x15742)) % 183.16/183.19 [1575]~E(x15751,x15752)+E(f688(x15751,x15753,x15754,x15755),f688(x15752,x15753,x15754,x15755)) % 183.16/183.19 [1576]~E(x15761,x15762)+E(f688(x15763,x15761,x15764,x15765),f688(x15763,x15762,x15764,x15765)) % 183.16/183.19 [1577]~E(x15771,x15772)+E(f688(x15773,x15774,x15771,x15775),f688(x15773,x15774,x15772,x15775)) % 183.16/183.19 [1578]~E(x15781,x15782)+E(f688(x15783,x15784,x15785,x15781),f688(x15783,x15784,x15785,x15782)) % 183.16/183.19 [1579]~E(x15791,x15792)+E(f845(x15791,x15793,x15794,x15795,x15796,x15797,x15798),f845(x15792,x15793,x15794,x15795,x15796,x15797,x15798)) % 183.16/183.19 [1580]~E(x15801,x15802)+E(f845(x15803,x15801,x15804,x15805,x15806,x15807,x15808),f845(x15803,x15802,x15804,x15805,x15806,x15807,x15808)) % 183.16/183.19 [1581]~E(x15811,x15812)+E(f845(x15813,x15814,x15811,x15815,x15816,x15817,x15818),f845(x15813,x15814,x15812,x15815,x15816,x15817,x15818)) % 183.16/183.19 [1582]~E(x15821,x15822)+E(f845(x15823,x15824,x15825,x15821,x15826,x15827,x15828),f845(x15823,x15824,x15825,x15822,x15826,x15827,x15828)) % 183.16/183.19 [1583]~E(x15831,x15832)+E(f845(x15833,x15834,x15835,x15836,x15831,x15837,x15838),f845(x15833,x15834,x15835,x15836,x15832,x15837,x15838)) % 183.16/183.19 [1584]~E(x15841,x15842)+E(f845(x15843,x15844,x15845,x15846,x15847,x15841,x15848),f845(x15843,x15844,x15845,x15846,x15847,x15842,x15848)) % 183.16/183.19 [1585]~E(x15851,x15852)+E(f845(x15853,x15854,x15855,x15856,x15857,x15858,x15851),f845(x15853,x15854,x15855,x15856,x15857,x15858,x15852)) % 183.16/183.19 [1586]~E(x15861,x15862)+E(f377(x15861,x15863),f377(x15862,x15863)) % 183.16/183.19 [1587]~E(x15871,x15872)+E(f377(x15873,x15871),f377(x15873,x15872)) % 183.16/183.19 [1588]~E(x15881,x15882)+E(f536(x15881,x15883),f536(x15882,x15883)) % 183.16/183.19 [1589]~E(x15891,x15892)+E(f536(x15893,x15891),f536(x15893,x15892)) % 183.16/183.19 [1590]~E(x15901,x15902)+E(f706(x15901,x15903,x15904),f706(x15902,x15903,x15904)) % 183.16/183.19 [1591]~E(x15911,x15912)+E(f706(x15913,x15911,x15914),f706(x15913,x15912,x15914)) % 183.16/183.19 [1592]~E(x15921,x15922)+E(f706(x15923,x15924,x15921),f706(x15923,x15924,x15922)) % 183.16/183.19 [1593]~E(x15931,x15932)+E(f754(x15931,x15933,x15934,x15935,x15936),f754(x15932,x15933,x15934,x15935,x15936)) % 183.16/183.19 [1594]~E(x15941,x15942)+E(f754(x15943,x15941,x15944,x15945,x15946),f754(x15943,x15942,x15944,x15945,x15946)) % 183.16/183.19 [1595]~E(x15951,x15952)+E(f754(x15953,x15954,x15951,x15955,x15956),f754(x15953,x15954,x15952,x15955,x15956)) % 183.16/183.19 [1596]~E(x15961,x15962)+E(f754(x15963,x15964,x15965,x15961,x15966),f754(x15963,x15964,x15965,x15962,x15966)) % 183.16/183.19 [1597]~E(x15971,x15972)+E(f754(x15973,x15974,x15975,x15976,x15971),f754(x15973,x15974,x15975,x15976,x15972)) % 183.16/183.19 [1598]~E(x15981,x15982)+E(f695(x15981,x15983,x15984,x15985),f695(x15982,x15983,x15984,x15985)) % 183.16/183.19 [1599]~E(x15991,x15992)+E(f695(x15993,x15991,x15994,x15995),f695(x15993,x15992,x15994,x15995)) % 183.16/183.19 [1600]~E(x16001,x16002)+E(f695(x16003,x16004,x16001,x16005),f695(x16003,x16004,x16002,x16005)) % 183.16/183.19 [1601]~E(x16011,x16012)+E(f695(x16013,x16014,x16015,x16011),f695(x16013,x16014,x16015,x16012)) % 183.16/183.19 [1602]~E(x16021,x16022)+E(f436(x16021,x16023,x16024,x16025),f436(x16022,x16023,x16024,x16025)) % 183.16/183.19 [1603]~E(x16031,x16032)+E(f436(x16033,x16031,x16034,x16035),f436(x16033,x16032,x16034,x16035)) % 183.16/183.19 [1604]~E(x16041,x16042)+E(f436(x16043,x16044,x16041,x16045),f436(x16043,x16044,x16042,x16045)) % 183.16/183.19 [1605]~E(x16051,x16052)+E(f436(x16053,x16054,x16055,x16051),f436(x16053,x16054,x16055,x16052)) % 183.16/183.19 [1606]~E(x16061,x16062)+E(f120(x16061,x16063,x16064),f120(x16062,x16063,x16064)) % 183.16/183.19 [1607]~E(x16071,x16072)+E(f120(x16073,x16071,x16074),f120(x16073,x16072,x16074)) % 183.16/183.19 [1608]~E(x16081,x16082)+E(f120(x16083,x16084,x16081),f120(x16083,x16084,x16082)) % 183.16/183.19 [1609]~E(x16091,x16092)+E(f472(x16091,x16093,x16094),f472(x16092,x16093,x16094)) % 183.16/183.19 [1610]~E(x16101,x16102)+E(f472(x16103,x16101,x16104),f472(x16103,x16102,x16104)) % 183.16/183.19 [1611]~E(x16111,x16112)+E(f472(x16113,x16114,x16111),f472(x16113,x16114,x16112)) % 183.16/183.19 [1612]~E(x16121,x16122)+E(f723(x16121,x16123),f723(x16122,x16123)) % 183.16/183.19 [1613]~E(x16131,x16132)+E(f723(x16133,x16131),f723(x16133,x16132)) % 183.16/183.19 [1614]~E(x16141,x16142)+E(f403(x16141),f403(x16142)) % 183.16/183.19 [1615]~E(x16151,x16152)+E(f614(x16151,x16153,x16154),f614(x16152,x16153,x16154)) % 183.16/183.19 [1616]~E(x16161,x16162)+E(f614(x16163,x16161,x16164),f614(x16163,x16162,x16164)) % 183.16/183.19 [1617]~E(x16171,x16172)+E(f614(x16173,x16174,x16171),f614(x16173,x16174,x16172)) % 183.16/183.19 [1618]~E(x16181,x16182)+E(f406(x16181,x16183),f406(x16182,x16183)) % 183.16/183.19 [1619]~E(x16191,x16192)+E(f406(x16193,x16191),f406(x16193,x16192)) % 183.16/183.19 [1620]~E(x16201,x16202)+E(f440(x16201,x16203,x16204,x16205),f440(x16202,x16203,x16204,x16205)) % 183.16/183.19 [1621]~E(x16211,x16212)+E(f440(x16213,x16211,x16214,x16215),f440(x16213,x16212,x16214,x16215)) % 183.16/183.19 [1622]~E(x16221,x16222)+E(f440(x16223,x16224,x16221,x16225),f440(x16223,x16224,x16222,x16225)) % 183.16/183.19 [1623]~E(x16231,x16232)+E(f440(x16233,x16234,x16235,x16231),f440(x16233,x16234,x16235,x16232)) % 183.16/183.19 [1624]~E(x16241,x16242)+E(f705(x16241,x16243,x16244,x16245,x16246),f705(x16242,x16243,x16244,x16245,x16246)) % 183.16/183.19 [1625]~E(x16251,x16252)+E(f705(x16253,x16251,x16254,x16255,x16256),f705(x16253,x16252,x16254,x16255,x16256)) % 183.16/183.19 [1626]~E(x16261,x16262)+E(f705(x16263,x16264,x16261,x16265,x16266),f705(x16263,x16264,x16262,x16265,x16266)) % 183.16/183.19 [1627]~E(x16271,x16272)+E(f705(x16273,x16274,x16275,x16271,x16276),f705(x16273,x16274,x16275,x16272,x16276)) % 183.16/183.19 [1628]~E(x16281,x16282)+E(f705(x16283,x16284,x16285,x16286,x16281),f705(x16283,x16284,x16285,x16286,x16282)) % 183.16/183.19 [1629]~E(x16291,x16292)+E(f821(x16291,x16293),f821(x16292,x16293)) % 183.16/183.19 [1630]~E(x16301,x16302)+E(f821(x16303,x16301),f821(x16303,x16302)) % 183.16/183.19 [1631]~E(x16311,x16312)+E(f703(x16311,x16313,x16314,x16315),f703(x16312,x16313,x16314,x16315)) % 183.16/183.19 [1632]~E(x16321,x16322)+E(f703(x16323,x16321,x16324,x16325),f703(x16323,x16322,x16324,x16325)) % 183.16/183.19 [1633]~E(x16331,x16332)+E(f703(x16333,x16334,x16331,x16335),f703(x16333,x16334,x16332,x16335)) % 183.16/183.19 [1634]~E(x16341,x16342)+E(f703(x16343,x16344,x16345,x16341),f703(x16343,x16344,x16345,x16342)) % 183.16/183.19 [1635]~E(x16351,x16352)+E(f296(x16351,x16353,x16354),f296(x16352,x16353,x16354)) % 183.16/183.19 [1636]~E(x16361,x16362)+E(f296(x16363,x16361,x16364),f296(x16363,x16362,x16364)) % 183.16/183.19 [1637]~E(x16371,x16372)+E(f296(x16373,x16374,x16371),f296(x16373,x16374,x16372)) % 183.16/183.19 [1638]~E(x16381,x16382)+E(f123(x16381,x16383,x16384,x16385),f123(x16382,x16383,x16384,x16385)) % 183.16/183.19 [1639]~E(x16391,x16392)+E(f123(x16393,x16391,x16394,x16395),f123(x16393,x16392,x16394,x16395)) % 183.16/183.19 [1640]~E(x16401,x16402)+E(f123(x16403,x16404,x16401,x16405),f123(x16403,x16404,x16402,x16405)) % 183.16/183.19 [1641]~E(x16411,x16412)+E(f123(x16413,x16414,x16415,x16411),f123(x16413,x16414,x16415,x16412)) % 183.16/183.19 [1642]~E(x16421,x16422)+E(f675(x16421,x16423,x16424,x16425,x16426),f675(x16422,x16423,x16424,x16425,x16426)) % 183.16/183.19 [1643]~E(x16431,x16432)+E(f675(x16433,x16431,x16434,x16435,x16436),f675(x16433,x16432,x16434,x16435,x16436)) % 183.16/183.19 [1644]~E(x16441,x16442)+E(f675(x16443,x16444,x16441,x16445,x16446),f675(x16443,x16444,x16442,x16445,x16446)) % 183.16/183.19 [1645]~E(x16451,x16452)+E(f675(x16453,x16454,x16455,x16451,x16456),f675(x16453,x16454,x16455,x16452,x16456)) % 183.16/183.19 [1646]~E(x16461,x16462)+E(f675(x16463,x16464,x16465,x16466,x16461),f675(x16463,x16464,x16465,x16466,x16462)) % 183.16/183.19 [1647]~E(x16471,x16472)+E(f467(x16471,x16473,x16474,x16475,x16476),f467(x16472,x16473,x16474,x16475,x16476)) % 183.16/183.19 [1648]~E(x16481,x16482)+E(f467(x16483,x16481,x16484,x16485,x16486),f467(x16483,x16482,x16484,x16485,x16486)) % 183.16/183.19 [1649]~E(x16491,x16492)+E(f467(x16493,x16494,x16491,x16495,x16496),f467(x16493,x16494,x16492,x16495,x16496)) % 183.16/183.19 [1650]~E(x16501,x16502)+E(f467(x16503,x16504,x16505,x16501,x16506),f467(x16503,x16504,x16505,x16502,x16506)) % 183.16/183.19 [1651]~E(x16511,x16512)+E(f467(x16513,x16514,x16515,x16516,x16511),f467(x16513,x16514,x16515,x16516,x16512)) % 183.16/183.19 [1652]~E(x16521,x16522)+E(f493(x16521,x16523,x16524,x16525),f493(x16522,x16523,x16524,x16525)) % 183.16/183.19 [1653]~E(x16531,x16532)+E(f493(x16533,x16531,x16534,x16535),f493(x16533,x16532,x16534,x16535)) % 183.16/183.19 [1654]~E(x16541,x16542)+E(f493(x16543,x16544,x16541,x16545),f493(x16543,x16544,x16542,x16545)) % 183.16/183.19 [1655]~E(x16551,x16552)+E(f493(x16553,x16554,x16555,x16551),f493(x16553,x16554,x16555,x16552)) % 183.16/183.19 [1656]~E(x16561,x16562)+E(f512(x16561,x16563),f512(x16562,x16563)) % 183.16/183.19 [1657]~E(x16571,x16572)+E(f512(x16573,x16571),f512(x16573,x16572)) % 183.16/183.19 [1658]~E(x16581,x16582)+E(f208(x16581,x16583,x16584,x16585),f208(x16582,x16583,x16584,x16585)) % 183.16/183.19 [1659]~E(x16591,x16592)+E(f208(x16593,x16591,x16594,x16595),f208(x16593,x16592,x16594,x16595)) % 183.16/183.19 [1660]~E(x16601,x16602)+E(f208(x16603,x16604,x16601,x16605),f208(x16603,x16604,x16602,x16605)) % 183.16/183.19 [1661]~E(x16611,x16612)+E(f208(x16613,x16614,x16615,x16611),f208(x16613,x16614,x16615,x16612)) % 183.16/183.19 [1662]~E(x16621,x16622)+E(f259(x16621,x16623,x16624),f259(x16622,x16623,x16624)) % 183.16/183.19 [1663]~E(x16631,x16632)+E(f259(x16633,x16631,x16634),f259(x16633,x16632,x16634)) % 183.16/183.19 [1664]~E(x16641,x16642)+E(f259(x16643,x16644,x16641),f259(x16643,x16644,x16642)) % 183.16/183.19 [1665]~E(x16651,x16652)+E(f582(x16651,x16653,x16654),f582(x16652,x16653,x16654)) % 183.16/183.19 [1666]~E(x16661,x16662)+E(f582(x16663,x16661,x16664),f582(x16663,x16662,x16664)) % 183.16/183.19 [1667]~E(x16671,x16672)+E(f582(x16673,x16674,x16671),f582(x16673,x16674,x16672)) % 183.16/183.19 [1668]~E(x16681,x16682)+E(f130(x16681,x16683),f130(x16682,x16683)) % 183.16/183.19 [1669]~E(x16691,x16692)+E(f130(x16693,x16691),f130(x16693,x16692)) % 183.16/183.19 [1670]~E(x16701,x16702)+E(f714(x16701,x16703,x16704,x16705,x16706,x16707,x16708),f714(x16702,x16703,x16704,x16705,x16706,x16707,x16708)) % 183.16/183.19 [1671]~E(x16711,x16712)+E(f714(x16713,x16711,x16714,x16715,x16716,x16717,x16718),f714(x16713,x16712,x16714,x16715,x16716,x16717,x16718)) % 183.16/183.19 [1672]~E(x16721,x16722)+E(f714(x16723,x16724,x16721,x16725,x16726,x16727,x16728),f714(x16723,x16724,x16722,x16725,x16726,x16727,x16728)) % 183.16/183.19 [1673]~E(x16731,x16732)+E(f714(x16733,x16734,x16735,x16731,x16736,x16737,x16738),f714(x16733,x16734,x16735,x16732,x16736,x16737,x16738)) % 183.16/183.19 [1674]~E(x16741,x16742)+E(f714(x16743,x16744,x16745,x16746,x16741,x16747,x16748),f714(x16743,x16744,x16745,x16746,x16742,x16747,x16748)) % 183.16/183.19 [1675]~E(x16751,x16752)+E(f714(x16753,x16754,x16755,x16756,x16757,x16751,x16758),f714(x16753,x16754,x16755,x16756,x16757,x16752,x16758)) % 183.16/183.19 [1676]~E(x16761,x16762)+E(f714(x16763,x16764,x16765,x16766,x16767,x16768,x16761),f714(x16763,x16764,x16765,x16766,x16767,x16768,x16762)) % 183.16/183.19 [1677]~E(x16771,x16772)+E(f748(x16771,x16773,x16774),f748(x16772,x16773,x16774)) % 183.16/183.19 [1678]~E(x16781,x16782)+E(f748(x16783,x16781,x16784),f748(x16783,x16782,x16784)) % 183.16/183.19 [1679]~E(x16791,x16792)+E(f748(x16793,x16794,x16791),f748(x16793,x16794,x16792)) % 183.16/183.19 [1680]~E(x16801,x16802)+E(f605(x16801,x16803,x16804),f605(x16802,x16803,x16804)) % 183.16/183.19 [1681]~E(x16811,x16812)+E(f605(x16813,x16811,x16814),f605(x16813,x16812,x16814)) % 183.16/183.19 [1682]~E(x16821,x16822)+E(f605(x16823,x16824,x16821),f605(x16823,x16824,x16822)) % 183.16/183.19 [1683]~E(x16831,x16832)+E(f669(x16831,x16833),f669(x16832,x16833)) % 183.16/183.19 [1684]~E(x16841,x16842)+E(f669(x16843,x16841),f669(x16843,x16842)) % 183.16/183.19 [1685]~E(x16851,x16852)+E(f457(x16851,x16853,x16854,x16855),f457(x16852,x16853,x16854,x16855)) % 183.16/183.19 [1686]~E(x16861,x16862)+E(f457(x16863,x16861,x16864,x16865),f457(x16863,x16862,x16864,x16865)) % 183.16/183.19 [1687]~E(x16871,x16872)+E(f457(x16873,x16874,x16871,x16875),f457(x16873,x16874,x16872,x16875)) % 183.16/183.19 [1688]~E(x16881,x16882)+E(f457(x16883,x16884,x16885,x16881),f457(x16883,x16884,x16885,x16882)) % 183.16/183.19 [1689]~E(x16891,x16892)+E(f794(x16891,x16893,x16894),f794(x16892,x16893,x16894)) % 183.16/183.19 [1690]~E(x16901,x16902)+E(f794(x16903,x16901,x16904),f794(x16903,x16902,x16904)) % 183.16/183.19 [1691]~E(x16911,x16912)+E(f794(x16913,x16914,x16911),f794(x16913,x16914,x16912)) % 183.16/183.19 [1692]~E(x16921,x16922)+E(f773(x16921,x16923,x16924,x16925),f773(x16922,x16923,x16924,x16925)) % 183.16/183.19 [1693]~E(x16931,x16932)+E(f773(x16933,x16931,x16934,x16935),f773(x16933,x16932,x16934,x16935)) % 183.16/183.19 [1694]~E(x16941,x16942)+E(f773(x16943,x16944,x16941,x16945),f773(x16943,x16944,x16942,x16945)) % 183.16/183.19 [1695]~E(x16951,x16952)+E(f773(x16953,x16954,x16955,x16951),f773(x16953,x16954,x16955,x16952)) % 183.16/183.19 [1696]~E(x16961,x16962)+E(f437(x16961,x16963,x16964,x16965),f437(x16962,x16963,x16964,x16965)) % 183.16/183.19 [1697]~E(x16971,x16972)+E(f437(x16973,x16971,x16974,x16975),f437(x16973,x16972,x16974,x16975)) % 183.16/183.19 [1698]~E(x16981,x16982)+E(f437(x16983,x16984,x16981,x16985),f437(x16983,x16984,x16982,x16985)) % 183.16/183.19 [1699]~E(x16991,x16992)+E(f437(x16993,x16994,x16995,x16991),f437(x16993,x16994,x16995,x16992)) % 183.16/183.19 [1700]~E(x17001,x17002)+E(f382(x17001,x17003,x17004,x17005,x17006),f382(x17002,x17003,x17004,x17005,x17006)) % 183.16/183.19 [1701]~E(x17011,x17012)+E(f382(x17013,x17011,x17014,x17015,x17016),f382(x17013,x17012,x17014,x17015,x17016)) % 183.16/183.19 [1702]~E(x17021,x17022)+E(f382(x17023,x17024,x17021,x17025,x17026),f382(x17023,x17024,x17022,x17025,x17026)) % 183.16/183.19 [1703]~E(x17031,x17032)+E(f382(x17033,x17034,x17035,x17031,x17036),f382(x17033,x17034,x17035,x17032,x17036)) % 183.16/183.19 [1704]~E(x17041,x17042)+E(f382(x17043,x17044,x17045,x17046,x17041),f382(x17043,x17044,x17045,x17046,x17042)) % 183.16/183.19 [1705]~E(x17051,x17052)+E(f820(x17051,x17053,x17054),f820(x17052,x17053,x17054)) % 183.16/183.19 [1706]~E(x17061,x17062)+E(f820(x17063,x17061,x17064),f820(x17063,x17062,x17064)) % 183.16/183.19 [1707]~E(x17071,x17072)+E(f820(x17073,x17074,x17071),f820(x17073,x17074,x17072)) % 183.16/183.19 [1708]~E(x17081,x17082)+E(f612(x17081,x17083),f612(x17082,x17083)) % 183.16/183.19 [1709]~E(x17091,x17092)+E(f612(x17093,x17091),f612(x17093,x17092)) % 183.16/183.19 [1710]~E(x17101,x17102)+E(f600(x17101,x17103,x17104),f600(x17102,x17103,x17104)) % 183.16/183.19 [1711]~E(x17111,x17112)+E(f600(x17113,x17111,x17114),f600(x17113,x17112,x17114)) % 183.16/183.19 [1712]~E(x17121,x17122)+E(f600(x17123,x17124,x17121),f600(x17123,x17124,x17122)) % 183.16/183.19 [1713]~E(x17131,x17132)+E(f558(x17131,x17133,x17134,x17135,x17136),f558(x17132,x17133,x17134,x17135,x17136)) % 183.16/183.19 [1714]~E(x17141,x17142)+E(f558(x17143,x17141,x17144,x17145,x17146),f558(x17143,x17142,x17144,x17145,x17146)) % 183.16/183.19 [1715]~E(x17151,x17152)+E(f558(x17153,x17154,x17151,x17155,x17156),f558(x17153,x17154,x17152,x17155,x17156)) % 183.16/183.19 [1716]~E(x17161,x17162)+E(f558(x17163,x17164,x17165,x17161,x17166),f558(x17163,x17164,x17165,x17162,x17166)) % 183.16/183.19 [1717]~E(x17171,x17172)+E(f558(x17173,x17174,x17175,x17176,x17171),f558(x17173,x17174,x17175,x17176,x17172)) % 183.16/183.19 [1718]~E(x17181,x17182)+E(f427(x17181,x17183,x17184,x17185),f427(x17182,x17183,x17184,x17185)) % 183.16/183.19 [1719]~E(x17191,x17192)+E(f427(x17193,x17191,x17194,x17195),f427(x17193,x17192,x17194,x17195)) % 183.16/183.19 [1720]~E(x17201,x17202)+E(f427(x17203,x17204,x17201,x17205),f427(x17203,x17204,x17202,x17205)) % 183.16/183.19 [1721]~E(x17211,x17212)+E(f427(x17213,x17214,x17215,x17211),f427(x17213,x17214,x17215,x17212)) % 183.16/183.19 [1722]~E(x17221,x17222)+E(f400(x17221,x17223,x17224,x17225,x17226,x17227),f400(x17222,x17223,x17224,x17225,x17226,x17227)) % 183.16/183.19 [1723]~E(x17231,x17232)+E(f400(x17233,x17231,x17234,x17235,x17236,x17237),f400(x17233,x17232,x17234,x17235,x17236,x17237)) % 183.16/183.19 [1724]~E(x17241,x17242)+E(f400(x17243,x17244,x17241,x17245,x17246,x17247),f400(x17243,x17244,x17242,x17245,x17246,x17247)) % 183.16/183.19 [1725]~E(x17251,x17252)+E(f400(x17253,x17254,x17255,x17251,x17256,x17257),f400(x17253,x17254,x17255,x17252,x17256,x17257)) % 183.16/183.19 [1726]~E(x17261,x17262)+E(f400(x17263,x17264,x17265,x17266,x17261,x17267),f400(x17263,x17264,x17265,x17266,x17262,x17267)) % 183.16/183.19 [1727]~E(x17271,x17272)+E(f400(x17273,x17274,x17275,x17276,x17277,x17271),f400(x17273,x17274,x17275,x17276,x17277,x17272)) % 183.16/183.19 [1728]~E(x17281,x17282)+E(f661(x17281,x17283),f661(x17282,x17283)) % 183.16/183.19 [1729]~E(x17291,x17292)+E(f661(x17293,x17291),f661(x17293,x17292)) % 183.16/183.19 [1730]~E(x17301,x17302)+E(f176(x17301,x17303,x17304),f176(x17302,x17303,x17304)) % 183.16/183.19 [1731]~E(x17311,x17312)+E(f176(x17313,x17311,x17314),f176(x17313,x17312,x17314)) % 183.16/183.19 [1732]~E(x17321,x17322)+E(f176(x17323,x17324,x17321),f176(x17323,x17324,x17322)) % 183.16/183.19 [1733]~E(x17331,x17332)+E(f857(x17331,x17333,x17334,x17335,x17336),f857(x17332,x17333,x17334,x17335,x17336)) % 183.16/183.19 [1734]~E(x17341,x17342)+E(f857(x17343,x17341,x17344,x17345,x17346),f857(x17343,x17342,x17344,x17345,x17346)) % 183.16/183.19 [1735]~E(x17351,x17352)+E(f857(x17353,x17354,x17351,x17355,x17356),f857(x17353,x17354,x17352,x17355,x17356)) % 183.16/183.19 [1736]~E(x17361,x17362)+E(f857(x17363,x17364,x17365,x17361,x17366),f857(x17363,x17364,x17365,x17362,x17366)) % 183.16/183.19 [1737]~E(x17371,x17372)+E(f857(x17373,x17374,x17375,x17376,x17371),f857(x17373,x17374,x17375,x17376,x17372)) % 183.16/183.19 [1738]~E(x17381,x17382)+E(f653(x17381,x17383,x17384),f653(x17382,x17383,x17384)) % 183.16/183.19 [1739]~E(x17391,x17392)+E(f653(x17393,x17391,x17394),f653(x17393,x17392,x17394)) % 183.16/183.19 [1740]~E(x17401,x17402)+E(f653(x17403,x17404,x17401),f653(x17403,x17404,x17402)) % 183.16/183.19 [1741]~E(x17411,x17412)+E(f412(x17411,x17413),f412(x17412,x17413)) % 183.16/183.19 [1742]~E(x17421,x17422)+E(f412(x17423,x17421),f412(x17423,x17422)) % 183.16/183.19 [1743]~E(x17431,x17432)+E(f690(x17431,x17433),f690(x17432,x17433)) % 183.16/183.19 [1744]~E(x17441,x17442)+E(f690(x17443,x17441),f690(x17443,x17442)) % 183.16/183.19 [1745]~E(x17451,x17452)+E(f222(x17451,x17453,x17454,x17455),f222(x17452,x17453,x17454,x17455)) % 183.16/183.19 [1746]~E(x17461,x17462)+E(f222(x17463,x17461,x17464,x17465),f222(x17463,x17462,x17464,x17465)) % 183.16/183.19 [1747]~E(x17471,x17472)+E(f222(x17473,x17474,x17471,x17475),f222(x17473,x17474,x17472,x17475)) % 183.16/183.19 [1748]~E(x17481,x17482)+E(f222(x17483,x17484,x17485,x17481),f222(x17483,x17484,x17485,x17482)) % 183.16/183.19 [1749]~E(x17491,x17492)+E(f855(x17491,x17493),f855(x17492,x17493)) % 183.16/183.19 [1750]~E(x17501,x17502)+E(f855(x17503,x17501),f855(x17503,x17502)) % 183.16/183.19 [1751]~E(x17511,x17512)+E(f396(x17511,x17513,x17514),f396(x17512,x17513,x17514)) % 183.16/183.19 [1752]~E(x17521,x17522)+E(f396(x17523,x17521,x17524),f396(x17523,x17522,x17524)) % 183.16/183.19 [1753]~E(x17531,x17532)+E(f396(x17533,x17534,x17531),f396(x17533,x17534,x17532)) % 183.16/183.19 [1754]~E(x17541,x17542)+E(f571(x17541,x17543),f571(x17542,x17543)) % 183.16/183.19 [1755]~E(x17551,x17552)+E(f571(x17553,x17551),f571(x17553,x17552)) % 183.16/183.19 [1756]~E(x17561,x17562)+E(f532(x17561,x17563,x17564,x17565,x17566),f532(x17562,x17563,x17564,x17565,x17566)) % 183.16/183.19 [1757]~E(x17571,x17572)+E(f532(x17573,x17571,x17574,x17575,x17576),f532(x17573,x17572,x17574,x17575,x17576)) % 183.16/183.19 [1758]~E(x17581,x17582)+E(f532(x17583,x17584,x17581,x17585,x17586),f532(x17583,x17584,x17582,x17585,x17586)) % 183.16/183.19 [1759]~E(x17591,x17592)+E(f532(x17593,x17594,x17595,x17591,x17596),f532(x17593,x17594,x17595,x17592,x17596)) % 183.16/183.19 [1760]~E(x17601,x17602)+E(f532(x17603,x17604,x17605,x17606,x17601),f532(x17603,x17604,x17605,x17606,x17602)) % 183.16/183.19 [1761]~E(x17611,x17612)+E(f676(x17611,x17613,x17614,x17615),f676(x17612,x17613,x17614,x17615)) % 183.16/183.19 [1762]~E(x17621,x17622)+E(f676(x17623,x17621,x17624,x17625),f676(x17623,x17622,x17624,x17625)) % 183.16/183.19 [1763]~E(x17631,x17632)+E(f676(x17633,x17634,x17631,x17635),f676(x17633,x17634,x17632,x17635)) % 183.16/183.19 [1764]~E(x17641,x17642)+E(f676(x17643,x17644,x17645,x17641),f676(x17643,x17644,x17645,x17642)) % 183.16/183.19 [1765]~E(x17651,x17652)+E(f727(x17651,x17653,x17654),f727(x17652,x17653,x17654)) % 183.16/183.19 [1766]~E(x17661,x17662)+E(f727(x17663,x17661,x17664),f727(x17663,x17662,x17664)) % 183.16/183.19 [1767]~E(x17671,x17672)+E(f727(x17673,x17674,x17671),f727(x17673,x17674,x17672)) % 183.16/183.19 [1768]~E(x17681,x17682)+E(f650(x17681,x17683,x17684,x17685),f650(x17682,x17683,x17684,x17685)) % 183.16/183.19 [1769]~E(x17691,x17692)+E(f650(x17693,x17691,x17694,x17695),f650(x17693,x17692,x17694,x17695)) % 183.16/183.19 [1770]~E(x17701,x17702)+E(f650(x17703,x17704,x17701,x17705),f650(x17703,x17704,x17702,x17705)) % 183.16/183.19 [1771]~E(x17711,x17712)+E(f650(x17713,x17714,x17715,x17711),f650(x17713,x17714,x17715,x17712)) % 183.16/183.19 [1772]~E(x17721,x17722)+E(f124(x17721,x17723),f124(x17722,x17723)) % 183.16/183.19 [1773]~E(x17731,x17732)+E(f124(x17733,x17731),f124(x17733,x17732)) % 183.16/183.19 [1774]~E(x17741,x17742)+E(f341(x17741),f341(x17742)) % 183.16/183.19 [1775]~E(x17751,x17752)+E(f730(x17751,x17753),f730(x17752,x17753)) % 183.16/183.19 [1776]~E(x17761,x17762)+E(f730(x17763,x17761),f730(x17763,x17762)) % 183.16/183.19 [1777]~E(x17771,x17772)+E(f843(x17771,x17773,x17774,x17775,x17776),f843(x17772,x17773,x17774,x17775,x17776)) % 183.16/183.19 [1778]~E(x17781,x17782)+E(f843(x17783,x17781,x17784,x17785,x17786),f843(x17783,x17782,x17784,x17785,x17786)) % 183.16/183.19 [1779]~E(x17791,x17792)+E(f843(x17793,x17794,x17791,x17795,x17796),f843(x17793,x17794,x17792,x17795,x17796)) % 183.16/183.19 [1780]~E(x17801,x17802)+E(f843(x17803,x17804,x17805,x17801,x17806),f843(x17803,x17804,x17805,x17802,x17806)) % 183.16/183.19 [1781]~E(x17811,x17812)+E(f843(x17813,x17814,x17815,x17816,x17811),f843(x17813,x17814,x17815,x17816,x17812)) % 183.16/183.19 [1782]~E(x17821,x17822)+E(f359(x17821,x17823,x17824),f359(x17822,x17823,x17824)) % 183.16/183.19 [1783]~E(x17831,x17832)+E(f359(x17833,x17831,x17834),f359(x17833,x17832,x17834)) % 183.16/183.19 [1784]~E(x17841,x17842)+E(f359(x17843,x17844,x17841),f359(x17843,x17844,x17842)) % 183.16/183.19 [1785]~E(x17851,x17852)+E(f606(x17851,x17853,x17854,x17855),f606(x17852,x17853,x17854,x17855)) % 183.16/183.19 [1786]~E(x17861,x17862)+E(f606(x17863,x17861,x17864,x17865),f606(x17863,x17862,x17864,x17865)) % 183.16/183.19 [1787]~E(x17871,x17872)+E(f606(x17873,x17874,x17871,x17875),f606(x17873,x17874,x17872,x17875)) % 183.16/183.19 [1788]~E(x17881,x17882)+E(f606(x17883,x17884,x17885,x17881),f606(x17883,x17884,x17885,x17882)) % 183.16/183.19 [1789]~E(x17891,x17892)+E(f718(x17891,x17893),f718(x17892,x17893)) % 183.16/183.19 [1790]~E(x17901,x17902)+E(f718(x17903,x17901),f718(x17903,x17902)) % 183.16/183.19 [1791]~E(x17911,x17912)+E(f347(x17911,x17913,x17914,x17915,x17916),f347(x17912,x17913,x17914,x17915,x17916)) % 183.16/183.19 [1792]~E(x17921,x17922)+E(f347(x17923,x17921,x17924,x17925,x17926),f347(x17923,x17922,x17924,x17925,x17926)) % 183.16/183.19 [1793]~E(x17931,x17932)+E(f347(x17933,x17934,x17931,x17935,x17936),f347(x17933,x17934,x17932,x17935,x17936)) % 183.16/183.19 [1794]~E(x17941,x17942)+E(f347(x17943,x17944,x17945,x17941,x17946),f347(x17943,x17944,x17945,x17942,x17946)) % 183.16/183.19 [1795]~E(x17951,x17952)+E(f347(x17953,x17954,x17955,x17956,x17951),f347(x17953,x17954,x17955,x17956,x17952)) % 183.16/183.19 [1796]~E(x17961,x17962)+E(f505(x17961,x17963),f505(x17962,x17963)) % 183.16/183.19 [1797]~E(x17971,x17972)+E(f505(x17973,x17971),f505(x17973,x17972)) % 183.16/183.19 [1798]~E(x17981,x17982)+E(f299(x17981,x17983,x17984),f299(x17982,x17983,x17984)) % 183.16/183.19 [1799]~E(x17991,x17992)+E(f299(x17993,x17991,x17994),f299(x17993,x17992,x17994)) % 183.16/183.19 [1800]~E(x18001,x18002)+E(f299(x18003,x18004,x18001),f299(x18003,x18004,x18002)) % 183.16/183.19 [1801]~E(x18011,x18012)+E(f696(x18011,x18013,x18014),f696(x18012,x18013,x18014)) % 183.16/183.19 [1802]~E(x18021,x18022)+E(f696(x18023,x18021,x18024),f696(x18023,x18022,x18024)) % 183.16/183.19 [1803]~E(x18031,x18032)+E(f696(x18033,x18034,x18031),f696(x18033,x18034,x18032)) % 183.16/183.19 [1804]~E(x18041,x18042)+E(f622(x18041,x18043,x18044,x18045,x18046),f622(x18042,x18043,x18044,x18045,x18046)) % 183.16/183.19 [1805]~E(x18051,x18052)+E(f622(x18053,x18051,x18054,x18055,x18056),f622(x18053,x18052,x18054,x18055,x18056)) % 183.16/183.19 [1806]~E(x18061,x18062)+E(f622(x18063,x18064,x18061,x18065,x18066),f622(x18063,x18064,x18062,x18065,x18066)) % 183.16/183.19 [1807]~E(x18071,x18072)+E(f622(x18073,x18074,x18075,x18071,x18076),f622(x18073,x18074,x18075,x18072,x18076)) % 183.16/183.19 [1808]~E(x18081,x18082)+E(f622(x18083,x18084,x18085,x18086,x18081),f622(x18083,x18084,x18085,x18086,x18082)) % 183.16/183.19 [1809]~E(x18091,x18092)+E(f524(x18091,x18093,x18094,x18095),f524(x18092,x18093,x18094,x18095)) % 183.16/183.19 [1810]~E(x18101,x18102)+E(f524(x18103,x18101,x18104,x18105),f524(x18103,x18102,x18104,x18105)) % 183.16/183.19 [1811]~E(x18111,x18112)+E(f524(x18113,x18114,x18111,x18115),f524(x18113,x18114,x18112,x18115)) % 183.16/183.19 [1812]~E(x18121,x18122)+E(f524(x18123,x18124,x18125,x18121),f524(x18123,x18124,x18125,x18122)) % 183.16/183.19 [1813]~E(x18131,x18132)+E(f343(x18131),f343(x18132)) % 183.16/183.19 [1814]~E(x18141,x18142)+E(f516(x18141,x18143,x18144),f516(x18142,x18143,x18144)) % 183.16/183.19 [1815]~E(x18151,x18152)+E(f516(x18153,x18151,x18154),f516(x18153,x18152,x18154)) % 183.16/183.19 [1816]~E(x18161,x18162)+E(f516(x18163,x18164,x18161),f516(x18163,x18164,x18162)) % 183.16/183.19 [1817]~E(x18171,x18172)+E(f556(x18171,x18173,x18174),f556(x18172,x18173,x18174)) % 183.16/183.19 [1818]~E(x18181,x18182)+E(f556(x18183,x18181,x18184),f556(x18183,x18182,x18184)) % 183.16/183.19 [1819]~E(x18191,x18192)+E(f556(x18193,x18194,x18191),f556(x18193,x18194,x18192)) % 183.16/183.19 [1820]~E(x18201,x18202)+E(f557(x18201,x18203,x18204),f557(x18202,x18203,x18204)) % 183.16/183.19 [1821]~E(x18211,x18212)+E(f557(x18213,x18211,x18214),f557(x18213,x18212,x18214)) % 183.16/183.19 [1822]~E(x18221,x18222)+E(f557(x18223,x18224,x18221),f557(x18223,x18224,x18222)) % 183.16/183.19 [1823]~E(x18231,x18232)+E(f749(x18231,x18233,x18234),f749(x18232,x18233,x18234)) % 183.16/183.19 [1824]~E(x18241,x18242)+E(f749(x18243,x18241,x18244),f749(x18243,x18242,x18244)) % 183.16/183.19 [1825]~E(x18251,x18252)+E(f749(x18253,x18254,x18251),f749(x18253,x18254,x18252)) % 183.16/183.19 [1826]~E(x18261,x18262)+E(f861(x18261,x18263,x18264,x18265),f861(x18262,x18263,x18264,x18265)) % 183.16/183.19 [1827]~E(x18271,x18272)+E(f861(x18273,x18271,x18274,x18275),f861(x18273,x18272,x18274,x18275)) % 183.16/183.19 [1828]~E(x18281,x18282)+E(f861(x18283,x18284,x18281,x18285),f861(x18283,x18284,x18282,x18285)) % 183.16/183.19 [1829]~E(x18291,x18292)+E(f861(x18293,x18294,x18295,x18291),f861(x18293,x18294,x18295,x18292)) % 183.16/183.19 [1830]~E(x18301,x18302)+E(f829(x18301,x18303,x18304,x18305,x18306),f829(x18302,x18303,x18304,x18305,x18306)) % 183.16/183.19 [1831]~E(x18311,x18312)+E(f829(x18313,x18311,x18314,x18315,x18316),f829(x18313,x18312,x18314,x18315,x18316)) % 183.16/183.19 [1832]~E(x18321,x18322)+E(f829(x18323,x18324,x18321,x18325,x18326),f829(x18323,x18324,x18322,x18325,x18326)) % 183.16/183.19 [1833]~E(x18331,x18332)+E(f829(x18333,x18334,x18335,x18331,x18336),f829(x18333,x18334,x18335,x18332,x18336)) % 183.16/183.19 [1834]~E(x18341,x18342)+E(f829(x18343,x18344,x18345,x18346,x18341),f829(x18343,x18344,x18345,x18346,x18342)) % 183.16/183.19 [1835]~E(x18351,x18352)+E(f804(x18351,x18353),f804(x18352,x18353)) % 183.16/183.19 [1836]~E(x18361,x18362)+E(f804(x18363,x18361),f804(x18363,x18362)) % 183.16/183.19 [1837]~E(x18371,x18372)+E(f541(x18371,x18373,x18374,x18375),f541(x18372,x18373,x18374,x18375)) % 183.16/183.19 [1838]~E(x18381,x18382)+E(f541(x18383,x18381,x18384,x18385),f541(x18383,x18382,x18384,x18385)) % 183.16/183.19 [1839]~E(x18391,x18392)+E(f541(x18393,x18394,x18391,x18395),f541(x18393,x18394,x18392,x18395)) % 183.16/183.19 [1840]~E(x18401,x18402)+E(f541(x18403,x18404,x18405,x18401),f541(x18403,x18404,x18405,x18402)) % 183.16/183.19 [1841]~E(x18411,x18412)+E(f784(x18411,x18413,x18414,x18415,x18416),f784(x18412,x18413,x18414,x18415,x18416)) % 183.16/183.19 [1842]~E(x18421,x18422)+E(f784(x18423,x18421,x18424,x18425,x18426),f784(x18423,x18422,x18424,x18425,x18426)) % 183.16/183.19 [1843]~E(x18431,x18432)+E(f784(x18433,x18434,x18431,x18435,x18436),f784(x18433,x18434,x18432,x18435,x18436)) % 183.16/183.19 [1844]~E(x18441,x18442)+E(f784(x18443,x18444,x18445,x18441,x18446),f784(x18443,x18444,x18445,x18442,x18446)) % 183.16/183.19 [1845]~E(x18451,x18452)+E(f784(x18453,x18454,x18455,x18456,x18451),f784(x18453,x18454,x18455,x18456,x18452)) % 183.16/183.19 [1846]~E(x18461,x18462)+E(f422(x18461,x18463,x18464,x18465),f422(x18462,x18463,x18464,x18465)) % 183.16/183.19 [1847]~E(x18471,x18472)+E(f422(x18473,x18471,x18474,x18475),f422(x18473,x18472,x18474,x18475)) % 183.16/183.19 [1848]~E(x18481,x18482)+E(f422(x18483,x18484,x18481,x18485),f422(x18483,x18484,x18482,x18485)) % 183.16/183.19 [1849]~E(x18491,x18492)+E(f422(x18493,x18494,x18495,x18491),f422(x18493,x18494,x18495,x18492)) % 183.16/183.19 [1850]~E(x18501,x18502)+E(f295(x18501,x18503,x18504),f295(x18502,x18503,x18504)) % 183.16/183.19 [1851]~E(x18511,x18512)+E(f295(x18513,x18511,x18514),f295(x18513,x18512,x18514)) % 183.16/183.19 [1852]~E(x18521,x18522)+E(f295(x18523,x18524,x18521),f295(x18523,x18524,x18522)) % 183.16/183.19 [1853]~E(x18531,x18532)+E(f399(x18531,x18533,x18534,x18535,x18536),f399(x18532,x18533,x18534,x18535,x18536)) % 183.16/183.19 [1854]~E(x18541,x18542)+E(f399(x18543,x18541,x18544,x18545,x18546),f399(x18543,x18542,x18544,x18545,x18546)) % 183.16/183.19 [1855]~E(x18551,x18552)+E(f399(x18553,x18554,x18551,x18555,x18556),f399(x18553,x18554,x18552,x18555,x18556)) % 183.16/183.19 [1856]~E(x18561,x18562)+E(f399(x18563,x18564,x18565,x18561,x18566),f399(x18563,x18564,x18565,x18562,x18566)) % 183.16/183.19 [1857]~E(x18571,x18572)+E(f399(x18573,x18574,x18575,x18576,x18571),f399(x18573,x18574,x18575,x18576,x18572)) % 183.16/183.19 [1858]~E(x18581,x18582)+E(f575(x18581,x18583),f575(x18582,x18583)) % 183.16/183.19 [1859]~E(x18591,x18592)+E(f575(x18593,x18591),f575(x18593,x18592)) % 183.16/183.19 [1860]~E(x18601,x18602)+E(f485(x18601),f485(x18602)) % 183.16/183.19 [1861]~E(x18611,x18612)+E(f638(x18611,x18613,x18614,x18615,x18616),f638(x18612,x18613,x18614,x18615,x18616)) % 183.16/183.19 [1862]~E(x18621,x18622)+E(f638(x18623,x18621,x18624,x18625,x18626),f638(x18623,x18622,x18624,x18625,x18626)) % 183.16/183.19 [1863]~E(x18631,x18632)+E(f638(x18633,x18634,x18631,x18635,x18636),f638(x18633,x18634,x18632,x18635,x18636)) % 183.16/183.19 [1864]~E(x18641,x18642)+E(f638(x18643,x18644,x18645,x18641,x18646),f638(x18643,x18644,x18645,x18642,x18646)) % 183.16/183.19 [1865]~E(x18651,x18652)+E(f638(x18653,x18654,x18655,x18656,x18651),f638(x18653,x18654,x18655,x18656,x18652)) % 183.16/183.19 [1866]~E(x18661,x18662)+E(f477(x18661,x18663,x18664,x18665),f477(x18662,x18663,x18664,x18665)) % 183.16/183.19 [1867]~E(x18671,x18672)+E(f477(x18673,x18671,x18674,x18675),f477(x18673,x18672,x18674,x18675)) % 183.16/183.19 [1868]~E(x18681,x18682)+E(f477(x18683,x18684,x18681,x18685),f477(x18683,x18684,x18682,x18685)) % 183.16/183.19 [1869]~E(x18691,x18692)+E(f477(x18693,x18694,x18695,x18691),f477(x18693,x18694,x18695,x18692)) % 183.16/183.19 [1870]~E(x18701,x18702)+E(f816(x18701,x18703,x18704,x18705,x18706),f816(x18702,x18703,x18704,x18705,x18706)) % 183.16/183.19 [1871]~E(x18711,x18712)+E(f816(x18713,x18711,x18714,x18715,x18716),f816(x18713,x18712,x18714,x18715,x18716)) % 183.16/183.19 [1872]~E(x18721,x18722)+E(f816(x18723,x18724,x18721,x18725,x18726),f816(x18723,x18724,x18722,x18725,x18726)) % 183.16/183.19 [1873]~E(x18731,x18732)+E(f816(x18733,x18734,x18735,x18731,x18736),f816(x18733,x18734,x18735,x18732,x18736)) % 183.16/183.19 [1874]~E(x18741,x18742)+E(f816(x18743,x18744,x18745,x18746,x18741),f816(x18743,x18744,x18745,x18746,x18742)) % 183.16/183.19 [1875]~E(x18751,x18752)+E(f719(x18751,x18753,x18754),f719(x18752,x18753,x18754)) % 183.16/183.19 [1876]~E(x18761,x18762)+E(f719(x18763,x18761,x18764),f719(x18763,x18762,x18764)) % 183.16/183.19 [1877]~E(x18771,x18772)+E(f719(x18773,x18774,x18771),f719(x18773,x18774,x18772)) % 183.16/183.19 [1878]~E(x18781,x18782)+E(f644(x18781,x18783,x18784,x18785,x18786),f644(x18782,x18783,x18784,x18785,x18786)) % 183.16/183.19 [1879]~E(x18791,x18792)+E(f644(x18793,x18791,x18794,x18795,x18796),f644(x18793,x18792,x18794,x18795,x18796)) % 183.16/183.19 [1880]~E(x18801,x18802)+E(f644(x18803,x18804,x18801,x18805,x18806),f644(x18803,x18804,x18802,x18805,x18806)) % 183.16/183.19 [1881]~E(x18811,x18812)+E(f644(x18813,x18814,x18815,x18811,x18816),f644(x18813,x18814,x18815,x18812,x18816)) % 183.16/183.19 [1882]~E(x18821,x18822)+E(f644(x18823,x18824,x18825,x18826,x18821),f644(x18823,x18824,x18825,x18826,x18822)) % 183.16/183.19 [1883]~E(x18831,x18832)+E(f560(x18831,x18833,x18834,x18835),f560(x18832,x18833,x18834,x18835)) % 183.16/183.19 [1884]~E(x18841,x18842)+E(f560(x18843,x18841,x18844,x18845),f560(x18843,x18842,x18844,x18845)) % 183.16/183.19 [1885]~E(x18851,x18852)+E(f560(x18853,x18854,x18851,x18855),f560(x18853,x18854,x18852,x18855)) % 183.16/183.19 [1886]~E(x18861,x18862)+E(f560(x18863,x18864,x18865,x18861),f560(x18863,x18864,x18865,x18862)) % 183.16/183.19 [1887]~E(x18871,x18872)+E(f660(x18871,x18873,x18874,x18875),f660(x18872,x18873,x18874,x18875)) % 183.16/183.19 [1888]~E(x18881,x18882)+E(f660(x18883,x18881,x18884,x18885),f660(x18883,x18882,x18884,x18885)) % 183.16/183.19 [1889]~E(x18891,x18892)+E(f660(x18893,x18894,x18891,x18895),f660(x18893,x18894,x18892,x18895)) % 183.16/183.19 [1890]~E(x18901,x18902)+E(f660(x18903,x18904,x18905,x18901),f660(x18903,x18904,x18905,x18902)) % 183.16/183.19 [1891]~E(x18911,x18912)+E(f484(x18911,x18913,x18914,x18915,x18916),f484(x18912,x18913,x18914,x18915,x18916)) % 183.16/183.19 [1892]~E(x18921,x18922)+E(f484(x18923,x18921,x18924,x18925,x18926),f484(x18923,x18922,x18924,x18925,x18926)) % 183.16/183.19 [1893]~E(x18931,x18932)+E(f484(x18933,x18934,x18931,x18935,x18936),f484(x18933,x18934,x18932,x18935,x18936)) % 183.16/183.19 [1894]~E(x18941,x18942)+E(f484(x18943,x18944,x18945,x18941,x18946),f484(x18943,x18944,x18945,x18942,x18946)) % 183.16/183.19 [1895]~E(x18951,x18952)+E(f484(x18953,x18954,x18955,x18956,x18951),f484(x18953,x18954,x18955,x18956,x18952)) % 183.16/183.19 [1896]~E(x18961,x18962)+E(f837(x18961,x18963,x18964,x18965,x18966),f837(x18962,x18963,x18964,x18965,x18966)) % 183.16/183.19 [1897]~E(x18971,x18972)+E(f837(x18973,x18971,x18974,x18975,x18976),f837(x18973,x18972,x18974,x18975,x18976)) % 183.16/183.19 [1898]~E(x18981,x18982)+E(f837(x18983,x18984,x18981,x18985,x18986),f837(x18983,x18984,x18982,x18985,x18986)) % 183.16/183.19 [1899]~E(x18991,x18992)+E(f837(x18993,x18994,x18995,x18991,x18996),f837(x18993,x18994,x18995,x18992,x18996)) % 183.16/183.19 [1900]~E(x19001,x19002)+E(f837(x19003,x19004,x19005,x19006,x19001),f837(x19003,x19004,x19005,x19006,x19002)) % 183.16/183.19 [1901]~E(x19011,x19012)+E(f421(x19011,x19013,x19014,x19015),f421(x19012,x19013,x19014,x19015)) % 183.16/183.19 [1902]~E(x19021,x19022)+E(f421(x19023,x19021,x19024,x19025),f421(x19023,x19022,x19024,x19025)) % 183.16/183.19 [1903]~E(x19031,x19032)+E(f421(x19033,x19034,x19031,x19035),f421(x19033,x19034,x19032,x19035)) % 183.16/183.19 [1904]~E(x19041,x19042)+E(f421(x19043,x19044,x19045,x19041),f421(x19043,x19044,x19045,x19042)) % 183.16/183.19 [1905]~E(x19051,x19052)+E(f21(x19051,x19053),f21(x19052,x19053)) % 183.16/183.19 [1906]~E(x19061,x19062)+E(f21(x19063,x19061),f21(x19063,x19062)) % 183.16/183.19 [1907]~E(x19071,x19072)+E(f220(x19071),f220(x19072)) % 183.16/183.19 [1908]~E(x19081,x19082)+E(f513(x19081,x19083),f513(x19082,x19083)) % 183.16/183.19 [1909]~E(x19091,x19092)+E(f513(x19093,x19091),f513(x19093,x19092)) % 183.16/183.19 [1910]~E(x19101,x19102)+E(f527(x19101,x19103,x19104),f527(x19102,x19103,x19104)) % 183.16/183.19 [1911]~E(x19111,x19112)+E(f527(x19113,x19111,x19114),f527(x19113,x19112,x19114)) % 183.16/183.19 [1912]~E(x19121,x19122)+E(f527(x19123,x19124,x19121),f527(x19123,x19124,x19122)) % 183.16/183.19 [1913]~E(x19131,x19132)+E(f420(x19131,x19133,x19134),f420(x19132,x19133,x19134)) % 183.16/183.19 [1914]~E(x19141,x19142)+E(f420(x19143,x19141,x19144),f420(x19143,x19142,x19144)) % 183.16/183.19 [1915]~E(x19151,x19152)+E(f420(x19153,x19154,x19151),f420(x19153,x19154,x19152)) % 183.16/183.19 [1916]~E(x19161,x19162)+E(f624(x19161,x19163,x19164,x19165,x19166,x19167,x19168,x19169),f624(x19162,x19163,x19164,x19165,x19166,x19167,x19168,x19169)) % 183.16/183.19 [1917]~E(x19171,x19172)+E(f624(x19173,x19171,x19174,x19175,x19176,x19177,x19178,x19179),f624(x19173,x19172,x19174,x19175,x19176,x19177,x19178,x19179)) % 183.16/183.19 [1918]~E(x19181,x19182)+E(f624(x19183,x19184,x19181,x19185,x19186,x19187,x19188,x19189),f624(x19183,x19184,x19182,x19185,x19186,x19187,x19188,x19189)) % 183.16/183.19 [1919]~E(x19191,x19192)+E(f624(x19193,x19194,x19195,x19191,x19196,x19197,x19198,x19199),f624(x19193,x19194,x19195,x19192,x19196,x19197,x19198,x19199)) % 183.16/183.19 [1920]~E(x19201,x19202)+E(f624(x19203,x19204,x19205,x19206,x19201,x19207,x19208,x19209),f624(x19203,x19204,x19205,x19206,x19202,x19207,x19208,x19209)) % 183.16/183.19 [1921]~E(x19211,x19212)+E(f624(x19213,x19214,x19215,x19216,x19217,x19211,x19218,x19219),f624(x19213,x19214,x19215,x19216,x19217,x19212,x19218,x19219)) % 183.16/183.19 [1922]~E(x19221,x19222)+E(f624(x19223,x19224,x19225,x19226,x19227,x19228,x19221,x19229),f624(x19223,x19224,x19225,x19226,x19227,x19228,x19222,x19229)) % 183.16/183.19 [1923]~E(x19231,x19232)+E(f624(x19233,x19234,x19235,x19236,x19237,x19238,x19239,x19231),f624(x19233,x19234,x19235,x19236,x19237,x19238,x19239,x19232)) % 183.16/183.19 [1924]~E(x19241,x19242)+E(f449(x19241,x19243,x19244,x19245,x19246),f449(x19242,x19243,x19244,x19245,x19246)) % 183.16/183.19 [1925]~E(x19251,x19252)+E(f449(x19253,x19251,x19254,x19255,x19256),f449(x19253,x19252,x19254,x19255,x19256)) % 183.16/183.19 [1926]~E(x19261,x19262)+E(f449(x19263,x19264,x19261,x19265,x19266),f449(x19263,x19264,x19262,x19265,x19266)) % 183.16/183.19 [1927]~E(x19271,x19272)+E(f449(x19273,x19274,x19275,x19271,x19276),f449(x19273,x19274,x19275,x19272,x19276)) % 183.16/183.19 [1928]~E(x19281,x19282)+E(f449(x19283,x19284,x19285,x19286,x19281),f449(x19283,x19284,x19285,x19286,x19282)) % 183.16/183.19 [1929]~E(x19291,x19292)+E(f351(x19291,x19293,x19294,x19295,x19296),f351(x19292,x19293,x19294,x19295,x19296)) % 183.16/183.19 [1930]~E(x19301,x19302)+E(f351(x19303,x19301,x19304,x19305,x19306),f351(x19303,x19302,x19304,x19305,x19306)) % 183.16/183.19 [1931]~E(x19311,x19312)+E(f351(x19313,x19314,x19311,x19315,x19316),f351(x19313,x19314,x19312,x19315,x19316)) % 183.16/183.19 [1932]~E(x19321,x19322)+E(f351(x19323,x19324,x19325,x19321,x19326),f351(x19323,x19324,x19325,x19322,x19326)) % 183.16/183.19 [1933]~E(x19331,x19332)+E(f351(x19333,x19334,x19335,x19336,x19331),f351(x19333,x19334,x19335,x19336,x19332)) % 183.16/183.19 [1934]~E(x19341,x19342)+E(f613(x19341,x19343,x19344),f613(x19342,x19343,x19344)) % 183.16/183.19 [1935]~E(x19351,x19352)+E(f613(x19353,x19351,x19354),f613(x19353,x19352,x19354)) % 183.16/183.19 [1936]~E(x19361,x19362)+E(f613(x19363,x19364,x19361),f613(x19363,x19364,x19362)) % 183.16/183.19 [1937]~E(x19371,x19372)+E(f677(x19371,x19373,x19374,x19375),f677(x19372,x19373,x19374,x19375)) % 183.16/183.19 [1938]~E(x19381,x19382)+E(f677(x19383,x19381,x19384,x19385),f677(x19383,x19382,x19384,x19385)) % 183.16/183.19 [1939]~E(x19391,x19392)+E(f677(x19393,x19394,x19391,x19395),f677(x19393,x19394,x19392,x19395)) % 183.16/183.19 [1940]~E(x19401,x19402)+E(f677(x19403,x19404,x19405,x19401),f677(x19403,x19404,x19405,x19402)) % 183.16/183.19 [1941]~E(x19411,x19412)+E(f868(x19411,x19413,x19414,x19415,x19416),f868(x19412,x19413,x19414,x19415,x19416)) % 183.16/183.19 [1942]~E(x19421,x19422)+E(f868(x19423,x19421,x19424,x19425,x19426),f868(x19423,x19422,x19424,x19425,x19426)) % 183.16/183.19 [1943]~E(x19431,x19432)+E(f868(x19433,x19434,x19431,x19435,x19436),f868(x19433,x19434,x19432,x19435,x19436)) % 183.16/183.19 [1944]~E(x19441,x19442)+E(f868(x19443,x19444,x19445,x19441,x19446),f868(x19443,x19444,x19445,x19442,x19446)) % 183.16/183.19 [1945]~E(x19451,x19452)+E(f868(x19453,x19454,x19455,x19456,x19451),f868(x19453,x19454,x19455,x19456,x19452)) % 183.16/183.19 [1946]~E(x19461,x19462)+E(f583(x19461,x19463),f583(x19462,x19463)) % 183.16/183.19 [1947]~E(x19471,x19472)+E(f583(x19473,x19471),f583(x19473,x19472)) % 183.16/183.19 [1948]~E(x19481,x19482)+E(f434(x19481,x19483),f434(x19482,x19483)) % 183.16/183.19 [1949]~E(x19491,x19492)+E(f434(x19493,x19491),f434(x19493,x19492)) % 183.16/183.19 [1950]~E(x19501,x19502)+E(f601(x19501,x19503,x19504),f601(x19502,x19503,x19504)) % 183.16/183.19 [1951]~E(x19511,x19512)+E(f601(x19513,x19511,x19514),f601(x19513,x19512,x19514)) % 183.16/183.19 [1952]~E(x19521,x19522)+E(f601(x19523,x19524,x19521),f601(x19523,x19524,x19522)) % 183.16/183.19 [1953]~E(x19531,x19532)+E(f589(x19531),f589(x19532)) % 183.16/183.19 [1954]~E(x19541,x19542)+E(f783(x19541,x19543,x19544,x19545,x19546),f783(x19542,x19543,x19544,x19545,x19546)) % 183.16/183.19 [1955]~E(x19551,x19552)+E(f783(x19553,x19551,x19554,x19555,x19556),f783(x19553,x19552,x19554,x19555,x19556)) % 183.16/183.19 [1956]~E(x19561,x19562)+E(f783(x19563,x19564,x19561,x19565,x19566),f783(x19563,x19564,x19562,x19565,x19566)) % 183.16/183.19 [1957]~E(x19571,x19572)+E(f783(x19573,x19574,x19575,x19571,x19576),f783(x19573,x19574,x19575,x19572,x19576)) % 183.16/183.19 [1958]~E(x19581,x19582)+E(f783(x19583,x19584,x19585,x19586,x19581),f783(x19583,x19584,x19585,x19586,x19582)) % 183.16/183.19 [1959]~E(x19591,x19592)+E(f564(x19591,x19593),f564(x19592,x19593)) % 183.16/183.19 [1960]~E(x19601,x19602)+E(f564(x19603,x19601),f564(x19603,x19602)) % 183.16/183.19 [1961]~E(x19611,x19612)+E(f630(x19611,x19613),f630(x19612,x19613)) % 183.16/183.19 [1962]~E(x19621,x19622)+E(f630(x19623,x19621),f630(x19623,x19622)) % 183.16/183.19 [1963]~E(x19631,x19632)+E(f616(x19631,x19633,x19634),f616(x19632,x19633,x19634)) % 183.16/183.19 [1964]~E(x19641,x19642)+E(f616(x19643,x19641,x19644),f616(x19643,x19642,x19644)) % 183.16/183.19 [1965]~E(x19651,x19652)+E(f616(x19653,x19654,x19651),f616(x19653,x19654,x19652)) % 183.16/183.19 [1966]~E(x19661,x19662)+E(f97(x19661,x19663,x19664,x19665),f97(x19662,x19663,x19664,x19665)) % 183.16/183.19 [1967]~E(x19671,x19672)+E(f97(x19673,x19671,x19674,x19675),f97(x19673,x19672,x19674,x19675)) % 183.16/183.19 [1968]~E(x19681,x19682)+E(f97(x19683,x19684,x19681,x19685),f97(x19683,x19684,x19682,x19685)) % 183.16/183.19 [1969]~E(x19691,x19692)+E(f97(x19693,x19694,x19695,x19691),f97(x19693,x19694,x19695,x19692)) % 183.16/183.19 [1970]~E(x19701,x19702)+E(f234(x19701,x19703,x19704,x19705),f234(x19702,x19703,x19704,x19705)) % 183.16/183.19 [1971]~E(x19711,x19712)+E(f234(x19713,x19711,x19714,x19715),f234(x19713,x19712,x19714,x19715)) % 183.16/183.19 [1972]~E(x19721,x19722)+E(f234(x19723,x19724,x19721,x19725),f234(x19723,x19724,x19722,x19725)) % 183.16/183.19 [1973]~E(x19731,x19732)+E(f234(x19733,x19734,x19735,x19731),f234(x19733,x19734,x19735,x19732)) % 183.16/183.19 [1974]~E(x19741,x19742)+E(f761(x19741,x19743),f761(x19742,x19743)) % 183.16/183.19 [1975]~E(x19751,x19752)+E(f761(x19753,x19751),f761(x19753,x19752)) % 183.16/183.19 [1976]~E(x19761,x19762)+E(f358(x19761,x19763),f358(x19762,x19763)) % 183.16/183.19 [1977]~E(x19771,x19772)+E(f358(x19773,x19771),f358(x19773,x19772)) % 183.16/183.19 [1978]~E(x19781,x19782)+E(f549(x19781,x19783,x19784),f549(x19782,x19783,x19784)) % 183.16/183.19 [1979]~E(x19791,x19792)+E(f549(x19793,x19791,x19794),f549(x19793,x19792,x19794)) % 183.16/183.19 [1980]~E(x19801,x19802)+E(f549(x19803,x19804,x19801),f549(x19803,x19804,x19802)) % 183.16/183.19 [1981]~E(x19811,x19812)+E(f379(x19811,x19813,x19814,x19815,x19816),f379(x19812,x19813,x19814,x19815,x19816)) % 183.16/183.19 [1982]~E(x19821,x19822)+E(f379(x19823,x19821,x19824,x19825,x19826),f379(x19823,x19822,x19824,x19825,x19826)) % 183.16/183.19 [1983]~E(x19831,x19832)+E(f379(x19833,x19834,x19831,x19835,x19836),f379(x19833,x19834,x19832,x19835,x19836)) % 183.16/183.19 [1984]~E(x19841,x19842)+E(f379(x19843,x19844,x19845,x19841,x19846),f379(x19843,x19844,x19845,x19842,x19846)) % 183.16/183.19 [1985]~E(x19851,x19852)+E(f379(x19853,x19854,x19855,x19856,x19851),f379(x19853,x19854,x19855,x19856,x19852)) % 183.16/183.19 [1986]~E(x19861,x19862)+E(f693(x19861,x19863,x19864,x19865),f693(x19862,x19863,x19864,x19865)) % 183.16/183.19 [1987]~E(x19871,x19872)+E(f693(x19873,x19871,x19874,x19875),f693(x19873,x19872,x19874,x19875)) % 183.16/183.19 [1988]~E(x19881,x19882)+E(f693(x19883,x19884,x19881,x19885),f693(x19883,x19884,x19882,x19885)) % 183.16/183.19 [1989]~E(x19891,x19892)+E(f693(x19893,x19894,x19895,x19891),f693(x19893,x19894,x19895,x19892)) % 183.16/183.19 [1990]~E(x19901,x19902)+E(f611(x19901,x19903,x19904,x19905,x19906,x19907),f611(x19902,x19903,x19904,x19905,x19906,x19907)) % 183.16/183.19 [1991]~E(x19911,x19912)+E(f611(x19913,x19911,x19914,x19915,x19916,x19917),f611(x19913,x19912,x19914,x19915,x19916,x19917)) % 183.16/183.19 [1992]~E(x19921,x19922)+E(f611(x19923,x19924,x19921,x19925,x19926,x19927),f611(x19923,x19924,x19922,x19925,x19926,x19927)) % 183.16/183.19 [1993]~E(x19931,x19932)+E(f611(x19933,x19934,x19935,x19931,x19936,x19937),f611(x19933,x19934,x19935,x19932,x19936,x19937)) % 183.16/183.19 [1994]~E(x19941,x19942)+E(f611(x19943,x19944,x19945,x19946,x19941,x19947),f611(x19943,x19944,x19945,x19946,x19942,x19947)) % 183.16/183.19 [1995]~E(x19951,x19952)+E(f611(x19953,x19954,x19955,x19956,x19957,x19951),f611(x19953,x19954,x19955,x19956,x19957,x19952)) % 183.16/183.19 [1996]~E(x19961,x19962)+E(f772(x19961,x19963,x19964,x19965,x19966,x19967,x19968,x19969),f772(x19962,x19963,x19964,x19965,x19966,x19967,x19968,x19969)) % 183.16/183.19 [1997]~E(x19971,x19972)+E(f772(x19973,x19971,x19974,x19975,x19976,x19977,x19978,x19979),f772(x19973,x19972,x19974,x19975,x19976,x19977,x19978,x19979)) % 183.16/183.19 [1998]~E(x19981,x19982)+E(f772(x19983,x19984,x19981,x19985,x19986,x19987,x19988,x19989),f772(x19983,x19984,x19982,x19985,x19986,x19987,x19988,x19989)) % 183.16/183.19 [1999]~E(x19991,x19992)+E(f772(x19993,x19994,x19995,x19991,x19996,x19997,x19998,x19999),f772(x19993,x19994,x19995,x19992,x19996,x19997,x19998,x19999)) % 183.16/183.19 [2000]~E(x20001,x20002)+E(f772(x20003,x20004,x20005,x20006,x20001,x20007,x20008,x20009),f772(x20003,x20004,x20005,x20006,x20002,x20007,x20008,x20009)) % 183.16/183.19 [2001]~E(x20011,x20012)+E(f772(x20013,x20014,x20015,x20016,x20017,x20011,x20018,x20019),f772(x20013,x20014,x20015,x20016,x20017,x20012,x20018,x20019)) % 183.16/183.19 [2002]~E(x20021,x20022)+E(f772(x20023,x20024,x20025,x20026,x20027,x20028,x20021,x20029),f772(x20023,x20024,x20025,x20026,x20027,x20028,x20022,x20029)) % 183.16/183.19 [2003]~E(x20031,x20032)+E(f772(x20033,x20034,x20035,x20036,x20037,x20038,x20039,x20031),f772(x20033,x20034,x20035,x20036,x20037,x20038,x20039,x20032)) % 183.16/183.19 [2004]~E(x20041,x20042)+E(f132(x20041,x20043,x20044,x20045),f132(x20042,x20043,x20044,x20045)) % 183.16/183.19 [2005]~E(x20051,x20052)+E(f132(x20053,x20051,x20054,x20055),f132(x20053,x20052,x20054,x20055)) % 183.16/183.19 [2006]~E(x20061,x20062)+E(f132(x20063,x20064,x20061,x20065),f132(x20063,x20064,x20062,x20065)) % 183.16/183.19 [2007]~E(x20071,x20072)+E(f132(x20073,x20074,x20075,x20071),f132(x20073,x20074,x20075,x20072)) % 183.16/183.19 [2008]~E(x20081,x20082)+E(f639(x20081,x20083,x20084,x20085,x20086),f639(x20082,x20083,x20084,x20085,x20086)) % 183.16/183.19 [2009]~E(x20091,x20092)+E(f639(x20093,x20091,x20094,x20095,x20096),f639(x20093,x20092,x20094,x20095,x20096)) % 183.16/183.19 [2010]~E(x20101,x20102)+E(f639(x20103,x20104,x20101,x20105,x20106),f639(x20103,x20104,x20102,x20105,x20106)) % 183.16/183.19 [2011]~E(x20111,x20112)+E(f639(x20113,x20114,x20115,x20111,x20116),f639(x20113,x20114,x20115,x20112,x20116)) % 183.16/183.19 [2012]~E(x20121,x20122)+E(f639(x20123,x20124,x20125,x20126,x20121),f639(x20123,x20124,x20125,x20126,x20122)) % 183.16/183.19 [2013]~E(x20131,x20132)+E(f432(x20131,x20133,x20134),f432(x20132,x20133,x20134)) % 183.16/183.19 [2014]~E(x20141,x20142)+E(f432(x20143,x20141,x20144),f432(x20143,x20142,x20144)) % 183.16/183.19 [2015]~E(x20151,x20152)+E(f432(x20153,x20154,x20151),f432(x20153,x20154,x20152)) % 183.16/183.19 [2016]~E(x20161,x20162)+E(f243(x20161,x20163,x20164,x20165,x20166),f243(x20162,x20163,x20164,x20165,x20166)) % 183.16/183.19 [2017]~E(x20171,x20172)+E(f243(x20173,x20171,x20174,x20175,x20176),f243(x20173,x20172,x20174,x20175,x20176)) % 183.16/183.19 [2018]~E(x20181,x20182)+E(f243(x20183,x20184,x20181,x20185,x20186),f243(x20183,x20184,x20182,x20185,x20186)) % 183.16/183.19 [2019]~E(x20191,x20192)+E(f243(x20193,x20194,x20195,x20191,x20196),f243(x20193,x20194,x20195,x20192,x20196)) % 183.16/183.19 [2020]~E(x20201,x20202)+E(f243(x20203,x20204,x20205,x20206,x20201),f243(x20203,x20204,x20205,x20206,x20202)) % 183.16/183.19 [2021]~E(x20211,x20212)+E(f539(x20211,x20213,x20214),f539(x20212,x20213,x20214)) % 183.16/183.19 [2022]~E(x20221,x20222)+E(f539(x20223,x20221,x20224),f539(x20223,x20222,x20224)) % 183.16/183.19 [2023]~E(x20231,x20232)+E(f539(x20233,x20234,x20231),f539(x20233,x20234,x20232)) % 183.16/183.19 [2024]~E(x20241,x20242)+E(f586(x20241,x20243,x20244,x20245,x20246,x20247,x20248,x20249),f586(x20242,x20243,x20244,x20245,x20246,x20247,x20248,x20249)) % 183.16/183.19 [2025]~E(x20251,x20252)+E(f586(x20253,x20251,x20254,x20255,x20256,x20257,x20258,x20259),f586(x20253,x20252,x20254,x20255,x20256,x20257,x20258,x20259)) % 183.16/183.19 [2026]~E(x20261,x20262)+E(f586(x20263,x20264,x20261,x20265,x20266,x20267,x20268,x20269),f586(x20263,x20264,x20262,x20265,x20266,x20267,x20268,x20269)) % 183.16/183.19 [2027]~E(x20271,x20272)+E(f586(x20273,x20274,x20275,x20271,x20276,x20277,x20278,x20279),f586(x20273,x20274,x20275,x20272,x20276,x20277,x20278,x20279)) % 183.16/183.19 [2028]~E(x20281,x20282)+E(f586(x20283,x20284,x20285,x20286,x20281,x20287,x20288,x20289),f586(x20283,x20284,x20285,x20286,x20282,x20287,x20288,x20289)) % 183.16/183.19 [2029]~E(x20291,x20292)+E(f586(x20293,x20294,x20295,x20296,x20297,x20291,x20298,x20299),f586(x20293,x20294,x20295,x20296,x20297,x20292,x20298,x20299)) % 183.16/183.19 [2030]~E(x20301,x20302)+E(f586(x20303,x20304,x20305,x20306,x20307,x20308,x20301,x20309),f586(x20303,x20304,x20305,x20306,x20307,x20308,x20302,x20309)) % 183.16/183.19 [2031]~E(x20311,x20312)+E(f586(x20313,x20314,x20315,x20316,x20317,x20318,x20319,x20311),f586(x20313,x20314,x20315,x20316,x20317,x20318,x20319,x20312)) % 183.16/183.19 [2032]~E(x20321,x20322)+E(f439(x20321,x20323,x20324,x20325),f439(x20322,x20323,x20324,x20325)) % 183.16/183.19 [2033]~E(x20331,x20332)+E(f439(x20333,x20331,x20334,x20335),f439(x20333,x20332,x20334,x20335)) % 183.16/183.19 [2034]~E(x20341,x20342)+E(f439(x20343,x20344,x20341,x20345),f439(x20343,x20344,x20342,x20345)) % 183.16/183.19 [2035]~E(x20351,x20352)+E(f439(x20353,x20354,x20355,x20351),f439(x20353,x20354,x20355,x20352)) % 183.16/183.19 [2036]~E(x20361,x20362)+E(f441(x20361,x20363),f441(x20362,x20363)) % 183.16/183.19 [2037]~E(x20371,x20372)+E(f441(x20373,x20371),f441(x20373,x20372)) % 183.16/183.19 [2038]~E(x20381,x20382)+E(f465(x20381,x20383,x20384),f465(x20382,x20383,x20384)) % 183.16/183.19 [2039]~E(x20391,x20392)+E(f465(x20393,x20391,x20394),f465(x20393,x20392,x20394)) % 183.16/183.19 [2040]~E(x20401,x20402)+E(f465(x20403,x20404,x20401),f465(x20403,x20404,x20402)) % 183.16/183.19 [2041]~E(x20411,x20412)+E(f402(x20411),f402(x20412)) % 183.16/183.19 [2042]~E(x20421,x20422)+E(f98(x20421,x20423,x20424,x20425),f98(x20422,x20423,x20424,x20425)) % 183.16/183.19 [2043]~E(x20431,x20432)+E(f98(x20433,x20431,x20434,x20435),f98(x20433,x20432,x20434,x20435)) % 183.16/183.19 [2044]~E(x20441,x20442)+E(f98(x20443,x20444,x20441,x20445),f98(x20443,x20444,x20442,x20445)) % 183.16/183.19 [2045]~E(x20451,x20452)+E(f98(x20453,x20454,x20455,x20451),f98(x20453,x20454,x20455,x20452)) % 183.16/183.19 [2046]~E(x20461,x20462)+E(f350(x20461,x20463,x20464,x20465,x20466),f350(x20462,x20463,x20464,x20465,x20466)) % 183.16/183.19 [2047]~E(x20471,x20472)+E(f350(x20473,x20471,x20474,x20475,x20476),f350(x20473,x20472,x20474,x20475,x20476)) % 183.16/183.19 [2048]~E(x20481,x20482)+E(f350(x20483,x20484,x20481,x20485,x20486),f350(x20483,x20484,x20482,x20485,x20486)) % 183.16/183.19 [2049]~E(x20491,x20492)+E(f350(x20493,x20494,x20495,x20491,x20496),f350(x20493,x20494,x20495,x20492,x20496)) % 183.16/183.19 [2050]~E(x20501,x20502)+E(f350(x20503,x20504,x20505,x20506,x20501),f350(x20503,x20504,x20505,x20506,x20502)) % 183.16/183.19 [2051]~E(x20511,x20512)+E(f594(x20511,x20513,x20514),f594(x20512,x20513,x20514)) % 183.16/183.19 [2052]~E(x20521,x20522)+E(f594(x20523,x20521,x20524),f594(x20523,x20522,x20524)) % 183.16/183.19 [2053]~E(x20531,x20532)+E(f594(x20533,x20534,x20531),f594(x20533,x20534,x20532)) % 183.16/183.19 [2054]~E(x20541,x20542)+E(f701(x20541,x20543,x20544,x20545),f701(x20542,x20543,x20544,x20545)) % 183.16/183.19 [2055]~E(x20551,x20552)+E(f701(x20553,x20551,x20554,x20555),f701(x20553,x20552,x20554,x20555)) % 183.16/183.19 [2056]~E(x20561,x20562)+E(f701(x20563,x20564,x20561,x20565),f701(x20563,x20564,x20562,x20565)) % 183.16/183.19 [2057]~E(x20571,x20572)+E(f701(x20573,x20574,x20575,x20571),f701(x20573,x20574,x20575,x20572)) % 183.16/183.19 [2058]~E(x20581,x20582)+E(f411(x20581,x20583),f411(x20582,x20583)) % 183.16/183.19 [2059]~E(x20591,x20592)+E(f411(x20593,x20591),f411(x20593,x20592)) % 183.16/183.19 [2060]~E(x20601,x20602)+E(f410(x20601,x20603),f410(x20602,x20603)) % 183.16/183.19 [2061]~E(x20611,x20612)+E(f410(x20613,x20611),f410(x20613,x20612)) % 183.16/183.19 [2062]~E(x20621,x20622)+E(f810(x20621,x20623,x20624,x20625),f810(x20622,x20623,x20624,x20625)) % 183.16/183.19 [2063]~E(x20631,x20632)+E(f810(x20633,x20631,x20634,x20635),f810(x20633,x20632,x20634,x20635)) % 183.16/183.19 [2064]~E(x20641,x20642)+E(f810(x20643,x20644,x20641,x20645),f810(x20643,x20644,x20642,x20645)) % 183.16/183.19 [2065]~E(x20651,x20652)+E(f810(x20653,x20654,x20655,x20651),f810(x20653,x20654,x20655,x20652)) % 183.16/183.19 [2066]~E(x20661,x20662)+E(f654(x20661,x20663,x20664),f654(x20662,x20663,x20664)) % 183.16/183.19 [2067]~E(x20671,x20672)+E(f654(x20673,x20671,x20674),f654(x20673,x20672,x20674)) % 183.16/183.19 [2068]~E(x20681,x20682)+E(f654(x20683,x20684,x20681),f654(x20683,x20684,x20682)) % 183.16/183.19 [2069]~E(x20691,x20692)+E(f559(x20691,x20693),f559(x20692,x20693)) % 183.16/183.19 [2070]~E(x20701,x20702)+E(f559(x20703,x20701),f559(x20703,x20702)) % 183.16/183.19 [2071]~E(x20711,x20712)+E(f750(x20711,x20713,x20714,x20715,x20716),f750(x20712,x20713,x20714,x20715,x20716)) % 183.16/183.19 [2072]~E(x20721,x20722)+E(f750(x20723,x20721,x20724,x20725,x20726),f750(x20723,x20722,x20724,x20725,x20726)) % 183.16/183.19 [2073]~E(x20731,x20732)+E(f750(x20733,x20734,x20731,x20735,x20736),f750(x20733,x20734,x20732,x20735,x20736)) % 183.16/183.19 [2074]~E(x20741,x20742)+E(f750(x20743,x20744,x20745,x20741,x20746),f750(x20743,x20744,x20745,x20742,x20746)) % 183.16/183.19 [2075]~E(x20751,x20752)+E(f750(x20753,x20754,x20755,x20756,x20751),f750(x20753,x20754,x20755,x20756,x20752)) % 183.16/183.19 [2076]~E(x20761,x20762)+E(f649(x20761,x20763,x20764,x20765,x20766),f649(x20762,x20763,x20764,x20765,x20766)) % 183.16/183.19 [2077]~E(x20771,x20772)+E(f649(x20773,x20771,x20774,x20775,x20776),f649(x20773,x20772,x20774,x20775,x20776)) % 183.16/183.19 [2078]~E(x20781,x20782)+E(f649(x20783,x20784,x20781,x20785,x20786),f649(x20783,x20784,x20782,x20785,x20786)) % 183.16/183.19 [2079]~E(x20791,x20792)+E(f649(x20793,x20794,x20795,x20791,x20796),f649(x20793,x20794,x20795,x20792,x20796)) % 183.16/183.19 [2080]~E(x20801,x20802)+E(f649(x20803,x20804,x20805,x20806,x20801),f649(x20803,x20804,x20805,x20806,x20802)) % 183.16/183.19 [2081]~E(x20811,x20812)+E(f577(x20811,x20813,x20814,x20815),f577(x20812,x20813,x20814,x20815)) % 183.16/183.19 [2082]~E(x20821,x20822)+E(f577(x20823,x20821,x20824,x20825),f577(x20823,x20822,x20824,x20825)) % 183.16/183.19 [2083]~E(x20831,x20832)+E(f577(x20833,x20834,x20831,x20835),f577(x20833,x20834,x20832,x20835)) % 183.16/183.19 [2084]~E(x20841,x20842)+E(f577(x20843,x20844,x20845,x20841),f577(x20843,x20844,x20845,x20842)) % 183.16/183.19 [2085]~E(x20851,x20852)+E(f741(x20851,x20853,x20854),f741(x20852,x20853,x20854)) % 183.16/183.19 [2086]~E(x20861,x20862)+E(f741(x20863,x20861,x20864),f741(x20863,x20862,x20864)) % 183.16/183.19 [2087]~E(x20871,x20872)+E(f741(x20873,x20874,x20871),f741(x20873,x20874,x20872)) % 183.16/183.19 [2088]~E(x20881,x20882)+E(f579(x20881,x20883,x20884,x20885,x20886,x20887),f579(x20882,x20883,x20884,x20885,x20886,x20887)) % 183.16/183.19 [2089]~E(x20891,x20892)+E(f579(x20893,x20891,x20894,x20895,x20896,x20897),f579(x20893,x20892,x20894,x20895,x20896,x20897)) % 183.16/183.19 [2090]~E(x20901,x20902)+E(f579(x20903,x20904,x20901,x20905,x20906,x20907),f579(x20903,x20904,x20902,x20905,x20906,x20907)) % 183.16/183.19 [2091]~E(x20911,x20912)+E(f579(x20913,x20914,x20915,x20911,x20916,x20917),f579(x20913,x20914,x20915,x20912,x20916,x20917)) % 183.16/183.19 [2092]~E(x20921,x20922)+E(f579(x20923,x20924,x20925,x20926,x20921,x20927),f579(x20923,x20924,x20925,x20926,x20922,x20927)) % 183.16/183.19 [2093]~E(x20931,x20932)+E(f579(x20933,x20934,x20935,x20936,x20937,x20931),f579(x20933,x20934,x20935,x20936,x20937,x20932)) % 183.16/183.19 [2094]~E(x20941,x20942)+E(f642(x20941,x20943,x20944,x20945),f642(x20942,x20943,x20944,x20945)) % 183.16/183.19 [2095]~E(x20951,x20952)+E(f642(x20953,x20951,x20954,x20955),f642(x20953,x20952,x20954,x20955)) % 183.16/183.19 [2096]~E(x20961,x20962)+E(f642(x20963,x20964,x20961,x20965),f642(x20963,x20964,x20962,x20965)) % 183.16/183.19 [2097]~E(x20971,x20972)+E(f642(x20973,x20974,x20975,x20971),f642(x20973,x20974,x20975,x20972)) % 183.16/183.19 [2098]~E(x20981,x20982)+E(f260(x20981,x20983,x20984),f260(x20982,x20983,x20984)) % 183.16/183.19 [2099]~E(x20991,x20992)+E(f260(x20993,x20991,x20994),f260(x20993,x20992,x20994)) % 183.16/183.19 [2100]~E(x21001,x21002)+E(f260(x21003,x21004,x21001),f260(x21003,x21004,x21002)) % 183.16/183.19 [2101]~E(x21011,x21012)+E(f782(x21011,x21013,x21014,x21015,x21016),f782(x21012,x21013,x21014,x21015,x21016)) % 183.16/183.19 [2102]~E(x21021,x21022)+E(f782(x21023,x21021,x21024,x21025,x21026),f782(x21023,x21022,x21024,x21025,x21026)) % 183.16/183.19 [2103]~E(x21031,x21032)+E(f782(x21033,x21034,x21031,x21035,x21036),f782(x21033,x21034,x21032,x21035,x21036)) % 183.16/183.19 [2104]~E(x21041,x21042)+E(f782(x21043,x21044,x21045,x21041,x21046),f782(x21043,x21044,x21045,x21042,x21046)) % 183.16/183.19 [2105]~E(x21051,x21052)+E(f782(x21053,x21054,x21055,x21056,x21051),f782(x21053,x21054,x21055,x21056,x21052)) % 183.16/183.19 [2106]~E(x21061,x21062)+E(f699(x21061,x21063,x21064,x21065,x21066),f699(x21062,x21063,x21064,x21065,x21066)) % 183.16/183.19 [2107]~E(x21071,x21072)+E(f699(x21073,x21071,x21074,x21075,x21076),f699(x21073,x21072,x21074,x21075,x21076)) % 183.16/183.19 [2108]~E(x21081,x21082)+E(f699(x21083,x21084,x21081,x21085,x21086),f699(x21083,x21084,x21082,x21085,x21086)) % 183.16/183.19 [2109]~E(x21091,x21092)+E(f699(x21093,x21094,x21095,x21091,x21096),f699(x21093,x21094,x21095,x21092,x21096)) % 183.16/183.19 [2110]~E(x21101,x21102)+E(f699(x21103,x21104,x21105,x21106,x21101),f699(x21103,x21104,x21105,x21106,x21102)) % 183.16/183.19 [2111]~E(x21111,x21112)+E(f95(x21111,x21113,x21114,x21115),f95(x21112,x21113,x21114,x21115)) % 183.16/183.19 [2112]~E(x21121,x21122)+E(f95(x21123,x21121,x21124,x21125),f95(x21123,x21122,x21124,x21125)) % 183.16/183.19 [2113]~E(x21131,x21132)+E(f95(x21133,x21134,x21131,x21135),f95(x21133,x21134,x21132,x21135)) % 183.16/183.19 [2114]~E(x21141,x21142)+E(f95(x21143,x21144,x21145,x21141),f95(x21143,x21144,x21145,x21142)) % 183.16/183.19 [2115]~E(x21151,x21152)+E(f691(x21151,x21153),f691(x21152,x21153)) % 183.16/183.19 [2116]~E(x21161,x21162)+E(f691(x21163,x21161),f691(x21163,x21162)) % 183.16/183.19 [2117]~E(x21171,x21172)+E(f698(x21171,x21173,x21174,x21175,x21176),f698(x21172,x21173,x21174,x21175,x21176)) % 183.16/183.19 [2118]~E(x21181,x21182)+E(f698(x21183,x21181,x21184,x21185,x21186),f698(x21183,x21182,x21184,x21185,x21186)) % 183.16/183.19 [2119]~E(x21191,x21192)+E(f698(x21193,x21194,x21191,x21195,x21196),f698(x21193,x21194,x21192,x21195,x21196)) % 183.16/183.19 [2120]~E(x21201,x21202)+E(f698(x21203,x21204,x21205,x21201,x21206),f698(x21203,x21204,x21205,x21202,x21206)) % 183.16/183.19 [2121]~E(x21211,x21212)+E(f698(x21213,x21214,x21215,x21216,x21211),f698(x21213,x21214,x21215,x21216,x21212)) % 183.16/183.19 [2122]~E(x21221,x21222)+E(f67(x21221,x21223,x21224),f67(x21222,x21223,x21224)) % 183.16/183.19 [2123]~E(x21231,x21232)+E(f67(x21233,x21231,x21234),f67(x21233,x21232,x21234)) % 183.16/183.19 [2124]~E(x21241,x21242)+E(f67(x21243,x21244,x21241),f67(x21243,x21244,x21242)) % 183.16/183.19 [2125]~E(x21251,x21252)+E(f607(x21251,x21253,x21254),f607(x21252,x21253,x21254)) % 183.16/183.19 [2126]~E(x21261,x21262)+E(f607(x21263,x21261,x21264),f607(x21263,x21262,x21264)) % 183.16/183.19 [2127]~E(x21271,x21272)+E(f607(x21273,x21274,x21271),f607(x21273,x21274,x21272)) % 183.16/183.19 [2128]~E(x21281,x21282)+E(f488(x21281,x21283,x21284),f488(x21282,x21283,x21284)) % 183.16/183.19 [2129]~E(x21291,x21292)+E(f488(x21293,x21291,x21294),f488(x21293,x21292,x21294)) % 183.16/183.19 [2130]~E(x21301,x21302)+E(f488(x21303,x21304,x21301),f488(x21303,x21304,x21302)) % 183.16/183.19 [2131]~E(x21311,x21312)+E(f729(x21311,x21313),f729(x21312,x21313)) % 183.16/183.19 [2132]~E(x21321,x21322)+E(f729(x21323,x21321),f729(x21323,x21322)) % 183.16/183.19 [2133]~E(x21331,x21332)+E(f370(x21331,x21333,x21334,x21335,x21336),f370(x21332,x21333,x21334,x21335,x21336)) % 183.16/183.19 [2134]~E(x21341,x21342)+E(f370(x21343,x21341,x21344,x21345,x21346),f370(x21343,x21342,x21344,x21345,x21346)) % 183.16/183.19 [2135]~E(x21351,x21352)+E(f370(x21353,x21354,x21351,x21355,x21356),f370(x21353,x21354,x21352,x21355,x21356)) % 183.16/183.19 [2136]~E(x21361,x21362)+E(f370(x21363,x21364,x21365,x21361,x21366),f370(x21363,x21364,x21365,x21362,x21366)) % 183.16/183.19 [2137]~E(x21371,x21372)+E(f370(x21373,x21374,x21375,x21376,x21371),f370(x21373,x21374,x21375,x21376,x21372)) % 183.16/183.19 [2138]~E(x21381,x21382)+E(f538(x21381,x21383),f538(x21382,x21383)) % 183.16/183.19 [2139]~E(x21391,x21392)+E(f538(x21393,x21391),f538(x21393,x21392)) % 183.16/183.19 [2140]~E(x21401,x21402)+E(f417(x21401,x21403,x21404),f417(x21402,x21403,x21404)) % 183.16/183.19 [2141]~E(x21411,x21412)+E(f417(x21413,x21411,x21414),f417(x21413,x21412,x21414)) % 183.16/183.19 [2142]~E(x21421,x21422)+E(f417(x21423,x21424,x21421),f417(x21423,x21424,x21422)) % 183.16/183.19 [2143]~E(x21431,x21432)+E(f619(x21431,x21433,x21434),f619(x21432,x21433,x21434)) % 183.16/183.19 [2144]~E(x21441,x21442)+E(f619(x21443,x21441,x21444),f619(x21443,x21442,x21444)) % 183.16/183.19 [2145]~E(x21451,x21452)+E(f619(x21453,x21454,x21451),f619(x21453,x21454,x21452)) % 183.16/183.19 [2146]~E(x21461,x21462)+E(f811(x21461,x21463,x21464,x21465),f811(x21462,x21463,x21464,x21465)) % 183.16/183.19 [2147]~E(x21471,x21472)+E(f811(x21473,x21471,x21474,x21475),f811(x21473,x21472,x21474,x21475)) % 183.16/183.19 [2148]~E(x21481,x21482)+E(f811(x21483,x21484,x21481,x21485),f811(x21483,x21484,x21482,x21485)) % 183.16/183.19 [2149]~E(x21491,x21492)+E(f811(x21493,x21494,x21495,x21491),f811(x21493,x21494,x21495,x21492)) % 183.16/183.19 [2150]~E(x21501,x21502)+E(f670(x21501,x21503,x21504,x21505,x21506),f670(x21502,x21503,x21504,x21505,x21506)) % 183.16/183.19 [2151]~E(x21511,x21512)+E(f670(x21513,x21511,x21514,x21515,x21516),f670(x21513,x21512,x21514,x21515,x21516)) % 183.16/183.19 [2152]~E(x21521,x21522)+E(f670(x21523,x21524,x21521,x21525,x21526),f670(x21523,x21524,x21522,x21525,x21526)) % 183.16/183.19 [2153]~E(x21531,x21532)+E(f670(x21533,x21534,x21535,x21531,x21536),f670(x21533,x21534,x21535,x21532,x21536)) % 183.16/183.19 [2154]~E(x21541,x21542)+E(f670(x21543,x21544,x21545,x21546,x21541),f670(x21543,x21544,x21545,x21546,x21542)) % 183.16/183.19 [2155]~E(x21551,x21552)+E(f456(x21551,x21553,x21554,x21555),f456(x21552,x21553,x21554,x21555)) % 183.16/183.19 [2156]~E(x21561,x21562)+E(f456(x21563,x21561,x21564,x21565),f456(x21563,x21562,x21564,x21565)) % 183.16/183.19 [2157]~E(x21571,x21572)+E(f456(x21573,x21574,x21571,x21575),f456(x21573,x21574,x21572,x21575)) % 183.16/183.19 [2158]~E(x21581,x21582)+E(f456(x21583,x21584,x21585,x21581),f456(x21583,x21584,x21585,x21582)) % 183.16/183.19 [2159]~E(x21591,x21592)+E(f373(x21591),f373(x21592)) % 183.16/183.19 [2160]~E(x21601,x21602)+E(f450(x21601,x21603,x21604,x21605,x21606),f450(x21602,x21603,x21604,x21605,x21606)) % 183.16/183.19 [2161]~E(x21611,x21612)+E(f450(x21613,x21611,x21614,x21615,x21616),f450(x21613,x21612,x21614,x21615,x21616)) % 183.16/183.19 [2162]~E(x21621,x21622)+E(f450(x21623,x21624,x21621,x21625,x21626),f450(x21623,x21624,x21622,x21625,x21626)) % 183.16/183.19 [2163]~E(x21631,x21632)+E(f450(x21633,x21634,x21635,x21631,x21636),f450(x21633,x21634,x21635,x21632,x21636)) % 183.16/183.19 [2164]~E(x21641,x21642)+E(f450(x21643,x21644,x21645,x21646,x21641),f450(x21643,x21644,x21645,x21646,x21642)) % 183.16/183.19 [2165]~E(x21651,x21652)+E(f393(x21651,x21653,x21654),f393(x21652,x21653,x21654)) % 183.16/183.19 [2166]~E(x21661,x21662)+E(f393(x21663,x21661,x21664),f393(x21663,x21662,x21664)) % 183.16/183.19 [2167]~E(x21671,x21672)+E(f393(x21673,x21674,x21671),f393(x21673,x21674,x21672)) % 183.16/183.19 [2168]~E(x21681,x21682)+E(f561(x21681,x21683,x21684,x21685,x21686),f561(x21682,x21683,x21684,x21685,x21686)) % 183.16/183.19 [2169]~E(x21691,x21692)+E(f561(x21693,x21691,x21694,x21695,x21696),f561(x21693,x21692,x21694,x21695,x21696)) % 183.16/183.19 [2170]~E(x21701,x21702)+E(f561(x21703,x21704,x21701,x21705,x21706),f561(x21703,x21704,x21702,x21705,x21706)) % 183.16/183.19 [2171]~E(x21711,x21712)+E(f561(x21713,x21714,x21715,x21711,x21716),f561(x21713,x21714,x21715,x21712,x21716)) % 183.16/183.19 [2172]~E(x21721,x21722)+E(f561(x21723,x21724,x21725,x21726,x21721),f561(x21723,x21724,x21725,x21726,x21722)) % 183.16/183.19 [2173]~E(x21731,x21732)+E(f349(x21731,x21733,x21734,x21735),f349(x21732,x21733,x21734,x21735)) % 183.16/183.19 [2174]~E(x21741,x21742)+E(f349(x21743,x21741,x21744,x21745),f349(x21743,x21742,x21744,x21745)) % 183.16/183.19 [2175]~E(x21751,x21752)+E(f349(x21753,x21754,x21751,x21755),f349(x21753,x21754,x21752,x21755)) % 183.16/183.19 [2176]~E(x21761,x21762)+E(f349(x21763,x21764,x21765,x21761),f349(x21763,x21764,x21765,x21762)) % 183.16/183.19 [2177]~E(x21771,x21772)+E(f550(x21771,x21773,x21774),f550(x21772,x21773,x21774)) % 183.16/183.19 [2178]~E(x21781,x21782)+E(f550(x21783,x21781,x21784),f550(x21783,x21782,x21784)) % 183.16/183.19 [2179]~E(x21791,x21792)+E(f550(x21793,x21794,x21791),f550(x21793,x21794,x21792)) % 183.16/183.19 [2180]~E(x21801,x21802)+E(f731(x21801,x21803,x21804,x21805),f731(x21802,x21803,x21804,x21805)) % 183.16/183.19 [2181]~E(x21811,x21812)+E(f731(x21813,x21811,x21814,x21815),f731(x21813,x21812,x21814,x21815)) % 183.16/183.19 [2182]~E(x21821,x21822)+E(f731(x21823,x21824,x21821,x21825),f731(x21823,x21824,x21822,x21825)) % 183.16/183.19 [2183]~E(x21831,x21832)+E(f731(x21833,x21834,x21835,x21831),f731(x21833,x21834,x21835,x21832)) % 183.16/183.19 [2184]~E(x21841,x21842)+E(f618(x21841,x21843,x21844,x21845,x21846,x21847),f618(x21842,x21843,x21844,x21845,x21846,x21847)) % 183.16/183.19 [2185]~E(x21851,x21852)+E(f618(x21853,x21851,x21854,x21855,x21856,x21857),f618(x21853,x21852,x21854,x21855,x21856,x21857)) % 183.16/183.19 [2186]~E(x21861,x21862)+E(f618(x21863,x21864,x21861,x21865,x21866,x21867),f618(x21863,x21864,x21862,x21865,x21866,x21867)) % 183.16/183.19 [2187]~E(x21871,x21872)+E(f618(x21873,x21874,x21875,x21871,x21876,x21877),f618(x21873,x21874,x21875,x21872,x21876,x21877)) % 183.16/183.19 [2188]~E(x21881,x21882)+E(f618(x21883,x21884,x21885,x21886,x21881,x21887),f618(x21883,x21884,x21885,x21886,x21882,x21887)) % 183.16/183.19 [2189]~E(x21891,x21892)+E(f618(x21893,x21894,x21895,x21896,x21897,x21891),f618(x21893,x21894,x21895,x21896,x21897,x21892)) % 183.16/183.19 [2190]~E(x21901,x21902)+E(f767(x21901,x21903,x21904,x21905,x21906,x21907),f767(x21902,x21903,x21904,x21905,x21906,x21907)) % 183.16/183.19 [2191]~E(x21911,x21912)+E(f767(x21913,x21911,x21914,x21915,x21916,x21917),f767(x21913,x21912,x21914,x21915,x21916,x21917)) % 183.16/183.19 [2192]~E(x21921,x21922)+E(f767(x21923,x21924,x21921,x21925,x21926,x21927),f767(x21923,x21924,x21922,x21925,x21926,x21927)) % 183.16/183.19 [2193]~E(x21931,x21932)+E(f767(x21933,x21934,x21935,x21931,x21936,x21937),f767(x21933,x21934,x21935,x21932,x21936,x21937)) % 183.16/183.19 [2194]~E(x21941,x21942)+E(f767(x21943,x21944,x21945,x21946,x21941,x21947),f767(x21943,x21944,x21945,x21946,x21942,x21947)) % 183.16/183.19 [2195]~E(x21951,x21952)+E(f767(x21953,x21954,x21955,x21956,x21957,x21951),f767(x21953,x21954,x21955,x21956,x21957,x21952)) % 183.16/183.19 [2196]~E(x21961,x21962)+E(f428(x21961,x21963,x21964,x21965),f428(x21962,x21963,x21964,x21965)) % 183.16/183.19 [2197]~E(x21971,x21972)+E(f428(x21973,x21971,x21974,x21975),f428(x21973,x21972,x21974,x21975)) % 183.16/183.19 [2198]~E(x21981,x21982)+E(f428(x21983,x21984,x21981,x21985),f428(x21983,x21984,x21982,x21985)) % 183.16/183.19 [2199]~E(x21991,x21992)+E(f428(x21993,x21994,x21995,x21991),f428(x21993,x21994,x21995,x21992)) % 183.16/183.19 [2200]~E(x22001,x22002)+E(f514(x22001,x22003,x22004),f514(x22002,x22003,x22004)) % 183.16/183.19 [2201]~E(x22011,x22012)+E(f514(x22013,x22011,x22014),f514(x22013,x22012,x22014)) % 183.16/183.19 [2202]~E(x22021,x22022)+E(f514(x22023,x22024,x22021),f514(x22023,x22024,x22022)) % 183.16/183.19 [2203]~E(x22031,x22032)+E(f709(x22031,x22033,x22034),f709(x22032,x22033,x22034)) % 183.16/183.19 [2204]~E(x22041,x22042)+E(f709(x22043,x22041,x22044),f709(x22043,x22042,x22044)) % 183.16/183.19 [2205]~E(x22051,x22052)+E(f709(x22053,x22054,x22051),f709(x22053,x22054,x22052)) % 183.16/183.19 [2206]~E(x22061,x22062)+E(f791(x22061,x22063,x22064),f791(x22062,x22063,x22064)) % 183.16/183.19 [2207]~E(x22071,x22072)+E(f791(x22073,x22071,x22074),f791(x22073,x22072,x22074)) % 183.16/183.19 [2208]~E(x22081,x22082)+E(f791(x22083,x22084,x22081),f791(x22083,x22084,x22082)) % 183.16/183.19 [2209]~E(x22091,x22092)+E(f425(x22091,x22093,x22094,x22095),f425(x22092,x22093,x22094,x22095)) % 183.16/183.19 [2210]~E(x22101,x22102)+E(f425(x22103,x22101,x22104,x22105),f425(x22103,x22102,x22104,x22105)) % 183.16/183.19 [2211]~E(x22111,x22112)+E(f425(x22113,x22114,x22111,x22115),f425(x22113,x22114,x22112,x22115)) % 183.16/183.19 [2212]~E(x22121,x22122)+E(f425(x22123,x22124,x22125,x22121),f425(x22123,x22124,x22125,x22122)) % 183.16/183.19 [2213]~E(x22131,x22132)+E(f596(x22131),f596(x22132)) % 183.16/183.19 [2214]~E(x22141,x22142)+E(f301(x22141,x22143,x22144,x22145,x22146),f301(x22142,x22143,x22144,x22145,x22146)) % 183.16/183.19 [2215]~E(x22151,x22152)+E(f301(x22153,x22151,x22154,x22155,x22156),f301(x22153,x22152,x22154,x22155,x22156)) % 183.16/183.19 [2216]~E(x22161,x22162)+E(f301(x22163,x22164,x22161,x22165,x22166),f301(x22163,x22164,x22162,x22165,x22166)) % 183.16/183.19 [2217]~E(x22171,x22172)+E(f301(x22173,x22174,x22175,x22171,x22176),f301(x22173,x22174,x22175,x22172,x22176)) % 183.16/183.19 [2218]~E(x22181,x22182)+E(f301(x22183,x22184,x22185,x22186,x22181),f301(x22183,x22184,x22185,x22186,x22182)) % 183.16/183.19 [2219]~E(x22191,x22192)+E(f480(x22191,x22193,x22194,x22195,x22196),f480(x22192,x22193,x22194,x22195,x22196)) % 183.16/183.19 [2220]~E(x22201,x22202)+E(f480(x22203,x22201,x22204,x22205,x22206),f480(x22203,x22202,x22204,x22205,x22206)) % 183.16/183.19 [2221]~E(x22211,x22212)+E(f480(x22213,x22214,x22211,x22215,x22216),f480(x22213,x22214,x22212,x22215,x22216)) % 183.16/183.19 [2222]~E(x22221,x22222)+E(f480(x22223,x22224,x22225,x22221,x22226),f480(x22223,x22224,x22225,x22222,x22226)) % 183.16/183.19 [2223]~E(x22231,x22232)+E(f480(x22233,x22234,x22235,x22236,x22231),f480(x22233,x22234,x22235,x22236,x22232)) % 183.16/183.19 [2224]~E(x22241,x22242)+E(f758(x22241,x22243,x22244,x22245,x22246),f758(x22242,x22243,x22244,x22245,x22246)) % 183.16/183.19 [2225]~E(x22251,x22252)+E(f758(x22253,x22251,x22254,x22255,x22256),f758(x22253,x22252,x22254,x22255,x22256)) % 183.16/183.19 [2226]~E(x22261,x22262)+E(f758(x22263,x22264,x22261,x22265,x22266),f758(x22263,x22264,x22262,x22265,x22266)) % 183.16/183.19 [2227]~E(x22271,x22272)+E(f758(x22273,x22274,x22275,x22271,x22276),f758(x22273,x22274,x22275,x22272,x22276)) % 183.16/183.19 [2228]~E(x22281,x22282)+E(f758(x22283,x22284,x22285,x22286,x22281),f758(x22283,x22284,x22285,x22286,x22282)) % 183.16/183.19 [2229]~E(x22291,x22292)+E(f768(x22291,x22293,x22294,x22295,x22296,x22297,x22298),f768(x22292,x22293,x22294,x22295,x22296,x22297,x22298)) % 183.16/183.19 [2230]~E(x22301,x22302)+E(f768(x22303,x22301,x22304,x22305,x22306,x22307,x22308),f768(x22303,x22302,x22304,x22305,x22306,x22307,x22308)) % 183.16/183.19 [2231]~E(x22311,x22312)+E(f768(x22313,x22314,x22311,x22315,x22316,x22317,x22318),f768(x22313,x22314,x22312,x22315,x22316,x22317,x22318)) % 183.16/183.19 [2232]~E(x22321,x22322)+E(f768(x22323,x22324,x22325,x22321,x22326,x22327,x22328),f768(x22323,x22324,x22325,x22322,x22326,x22327,x22328)) % 183.16/183.19 [2233]~E(x22331,x22332)+E(f768(x22333,x22334,x22335,x22336,x22331,x22337,x22338),f768(x22333,x22334,x22335,x22336,x22332,x22337,x22338)) % 183.16/183.19 [2234]~E(x22341,x22342)+E(f768(x22343,x22344,x22345,x22346,x22347,x22341,x22348),f768(x22343,x22344,x22345,x22346,x22347,x22342,x22348)) % 183.16/183.19 [2235]~E(x22351,x22352)+E(f768(x22353,x22354,x22355,x22356,x22357,x22358,x22351),f768(x22353,x22354,x22355,x22356,x22357,x22358,x22352)) % 183.16/183.19 [2236]~E(x22361,x22362)+E(f721(x22361,x22363,x22364,x22365),f721(x22362,x22363,x22364,x22365)) % 183.16/183.19 [2237]~E(x22371,x22372)+E(f721(x22373,x22371,x22374,x22375),f721(x22373,x22372,x22374,x22375)) % 183.16/183.19 [2238]~E(x22381,x22382)+E(f721(x22383,x22384,x22381,x22385),f721(x22383,x22384,x22382,x22385)) % 183.16/183.19 [2239]~E(x22391,x22392)+E(f721(x22393,x22394,x22395,x22391),f721(x22393,x22394,x22395,x22392)) % 183.16/183.19 [2240]~E(x22401,x22402)+E(f445(x22401,x22403,x22404,x22405),f445(x22402,x22403,x22404,x22405)) % 183.16/183.19 [2241]~E(x22411,x22412)+E(f445(x22413,x22411,x22414,x22415),f445(x22413,x22412,x22414,x22415)) % 183.16/183.19 [2242]~E(x22421,x22422)+E(f445(x22423,x22424,x22421,x22425),f445(x22423,x22424,x22422,x22425)) % 183.16/183.19 [2243]~E(x22431,x22432)+E(f445(x22433,x22434,x22435,x22431),f445(x22433,x22434,x22435,x22432)) % 183.16/183.19 [2244]~E(x22441,x22442)+E(f521(x22441,x22443),f521(x22442,x22443)) % 183.16/183.19 [2245]~E(x22451,x22452)+E(f521(x22453,x22451),f521(x22453,x22452)) % 183.16/183.19 [2246]~E(x22461,x22462)+E(f585(x22461,x22463,x22464,x22465,x22466),f585(x22462,x22463,x22464,x22465,x22466)) % 183.16/183.19 [2247]~E(x22471,x22472)+E(f585(x22473,x22471,x22474,x22475,x22476),f585(x22473,x22472,x22474,x22475,x22476)) % 183.16/183.19 [2248]~E(x22481,x22482)+E(f585(x22483,x22484,x22481,x22485,x22486),f585(x22483,x22484,x22482,x22485,x22486)) % 183.16/183.19 [2249]~E(x22491,x22492)+E(f585(x22493,x22494,x22495,x22491,x22496),f585(x22493,x22494,x22495,x22492,x22496)) % 183.16/183.19 [2250]~E(x22501,x22502)+E(f585(x22503,x22504,x22505,x22506,x22501),f585(x22503,x22504,x22505,x22506,x22502)) % 183.16/183.19 [2251]~E(x22511,x22512)+E(f444(x22511,x22513),f444(x22512,x22513)) % 183.16/183.19 [2252]~E(x22521,x22522)+E(f444(x22523,x22521),f444(x22523,x22522)) % 183.16/183.19 [2253]~E(x22531,x22532)+E(f469(x22531,x22533,x22534),f469(x22532,x22533,x22534)) % 183.16/183.19 [2254]~E(x22541,x22542)+E(f469(x22543,x22541,x22544),f469(x22543,x22542,x22544)) % 183.16/183.19 [2255]~E(x22551,x22552)+E(f469(x22553,x22554,x22551),f469(x22553,x22554,x22552)) % 183.16/183.19 [2256]~E(x22561,x22562)+E(f841(x22561,x22563,x22564,x22565,x22566,x22567,x22568),f841(x22562,x22563,x22564,x22565,x22566,x22567,x22568)) % 183.16/183.19 [2257]~E(x22571,x22572)+E(f841(x22573,x22571,x22574,x22575,x22576,x22577,x22578),f841(x22573,x22572,x22574,x22575,x22576,x22577,x22578)) % 183.16/183.19 [2258]~E(x22581,x22582)+E(f841(x22583,x22584,x22581,x22585,x22586,x22587,x22588),f841(x22583,x22584,x22582,x22585,x22586,x22587,x22588)) % 183.16/183.19 [2259]~E(x22591,x22592)+E(f841(x22593,x22594,x22595,x22591,x22596,x22597,x22598),f841(x22593,x22594,x22595,x22592,x22596,x22597,x22598)) % 183.16/183.19 [2260]~E(x22601,x22602)+E(f841(x22603,x22604,x22605,x22606,x22601,x22607,x22608),f841(x22603,x22604,x22605,x22606,x22602,x22607,x22608)) % 183.16/183.19 [2261]~E(x22611,x22612)+E(f841(x22613,x22614,x22615,x22616,x22617,x22611,x22618),f841(x22613,x22614,x22615,x22616,x22617,x22612,x22618)) % 183.16/183.19 [2262]~E(x22621,x22622)+E(f841(x22623,x22624,x22625,x22626,x22627,x22628,x22621),f841(x22623,x22624,x22625,x22626,x22627,x22628,x22622)) % 183.16/183.19 [2263]~E(x22631,x22632)+E(f371(x22631,x22633,x22634,x22635,x22636),f371(x22632,x22633,x22634,x22635,x22636)) % 183.16/183.19 [2264]~E(x22641,x22642)+E(f371(x22643,x22641,x22644,x22645,x22646),f371(x22643,x22642,x22644,x22645,x22646)) % 183.16/183.19 [2265]~E(x22651,x22652)+E(f371(x22653,x22654,x22651,x22655,x22656),f371(x22653,x22654,x22652,x22655,x22656)) % 183.16/183.19 [2266]~E(x22661,x22662)+E(f371(x22663,x22664,x22665,x22661,x22666),f371(x22663,x22664,x22665,x22662,x22666)) % 183.16/183.19 [2267]~E(x22671,x22672)+E(f371(x22673,x22674,x22675,x22676,x22671),f371(x22673,x22674,x22675,x22676,x22672)) % 183.16/183.19 [2268]~E(x22681,x22682)+E(f716(x22681,x22683),f716(x22682,x22683)) % 183.16/183.19 [2269]~E(x22691,x22692)+E(f716(x22693,x22691),f716(x22693,x22692)) % 183.16/183.19 [2270]~E(x22701,x22702)+E(f136(x22701),f136(x22702)) % 183.16/183.19 [2271]~E(x22711,x22712)+E(f830(x22711,x22713,x22714,x22715,x22716,x22717),f830(x22712,x22713,x22714,x22715,x22716,x22717)) % 183.16/183.19 [2272]~E(x22721,x22722)+E(f830(x22723,x22721,x22724,x22725,x22726,x22727),f830(x22723,x22722,x22724,x22725,x22726,x22727)) % 183.16/183.19 [2273]~E(x22731,x22732)+E(f830(x22733,x22734,x22731,x22735,x22736,x22737),f830(x22733,x22734,x22732,x22735,x22736,x22737)) % 183.16/183.19 [2274]~E(x22741,x22742)+E(f830(x22743,x22744,x22745,x22741,x22746,x22747),f830(x22743,x22744,x22745,x22742,x22746,x22747)) % 183.16/183.19 [2275]~E(x22751,x22752)+E(f830(x22753,x22754,x22755,x22756,x22751,x22757),f830(x22753,x22754,x22755,x22756,x22752,x22757)) % 183.16/183.19 [2276]~E(x22761,x22762)+E(f830(x22763,x22764,x22765,x22766,x22767,x22761),f830(x22763,x22764,x22765,x22766,x22767,x22762)) % 183.16/183.19 [2277]~E(x22771,x22772)+E(f504(x22771,x22773),f504(x22772,x22773)) % 183.16/183.19 [2278]~E(x22781,x22782)+E(f504(x22783,x22781),f504(x22783,x22782)) % 183.16/183.19 [2279]~E(x22791,x22792)+E(f570(x22791,x22793,x22794,x22795),f570(x22792,x22793,x22794,x22795)) % 183.16/183.19 [2280]~E(x22801,x22802)+E(f570(x22803,x22801,x22804,x22805),f570(x22803,x22802,x22804,x22805)) % 183.16/183.19 [2281]~E(x22811,x22812)+E(f570(x22813,x22814,x22811,x22815),f570(x22813,x22814,x22812,x22815)) % 183.16/183.19 [2282]~E(x22821,x22822)+E(f570(x22823,x22824,x22825,x22821),f570(x22823,x22824,x22825,x22822)) % 183.16/183.19 [2283]~E(x22831,x22832)+E(f466(x22831,x22833,x22834),f466(x22832,x22833,x22834)) % 183.16/183.19 [2284]~E(x22841,x22842)+E(f466(x22843,x22841,x22844),f466(x22843,x22842,x22844)) % 183.16/183.19 [2285]~E(x22851,x22852)+E(f466(x22853,x22854,x22851),f466(x22853,x22854,x22852)) % 183.16/183.19 [2286]~E(x22861,x22862)+E(f598(x22861),f598(x22862)) % 183.16/183.19 [2287]~E(x22871,x22872)+E(f540(x22871,x22873,x22874),f540(x22872,x22873,x22874)) % 183.16/183.19 [2288]~E(x22881,x22882)+E(f540(x22883,x22881,x22884),f540(x22883,x22882,x22884)) % 183.16/183.19 [2289]~E(x22891,x22892)+E(f540(x22893,x22894,x22891),f540(x22893,x22894,x22892)) % 183.16/183.19 [2290]~E(x22901,x22902)+E(f340(x22901),f340(x22902)) % 183.16/183.19 [2291]~E(x22911,x22912)+E(f249(x22911,x22913),f249(x22912,x22913)) % 183.16/183.19 [2292]~E(x22921,x22922)+E(f249(x22923,x22921),f249(x22923,x22922)) % 183.16/183.19 [2293]~E(x22931,x22932)+E(f367(x22931,x22933,x22934,x22935),f367(x22932,x22933,x22934,x22935)) % 183.16/183.19 [2294]~E(x22941,x22942)+E(f367(x22943,x22941,x22944,x22945),f367(x22943,x22942,x22944,x22945)) % 183.16/183.19 [2295]~E(x22951,x22952)+E(f367(x22953,x22954,x22951,x22955),f367(x22953,x22954,x22952,x22955)) % 183.16/183.19 [2296]~E(x22961,x22962)+E(f367(x22963,x22964,x22965,x22961),f367(x22963,x22964,x22965,x22962)) % 183.16/183.19 [2297]~E(x22971,x22972)+E(f499(x22971,x22973,x22974),f499(x22972,x22973,x22974)) % 183.16/183.19 [2298]~E(x22981,x22982)+E(f499(x22983,x22981,x22984),f499(x22983,x22982,x22984)) % 183.16/183.19 [2299]~E(x22991,x22992)+E(f499(x22993,x22994,x22991),f499(x22993,x22994,x22992)) % 183.16/183.19 [2300]~E(x23001,x23002)+E(f339(x23001),f339(x23002)) % 183.16/183.19 [2301]~E(x23011,x23012)+E(f368(x23011,x23013,x23014),f368(x23012,x23013,x23014)) % 183.16/183.19 [2302]~E(x23021,x23022)+E(f368(x23023,x23021,x23024),f368(x23023,x23022,x23024)) % 183.16/183.19 [2303]~E(x23031,x23032)+E(f368(x23033,x23034,x23031),f368(x23033,x23034,x23032)) % 183.16/183.19 [2304]~E(x23041,x23042)+E(f713(x23041,x23043,x23044,x23045,x23046),f713(x23042,x23043,x23044,x23045,x23046)) % 183.16/183.19 [2305]~E(x23051,x23052)+E(f713(x23053,x23051,x23054,x23055,x23056),f713(x23053,x23052,x23054,x23055,x23056)) % 183.16/183.19 [2306]~E(x23061,x23062)+E(f713(x23063,x23064,x23061,x23065,x23066),f713(x23063,x23064,x23062,x23065,x23066)) % 183.16/183.19 [2307]~E(x23071,x23072)+E(f713(x23073,x23074,x23075,x23071,x23076),f713(x23073,x23074,x23075,x23072,x23076)) % 183.16/183.19 [2308]~E(x23081,x23082)+E(f713(x23083,x23084,x23085,x23086,x23081),f713(x23083,x23084,x23085,x23086,x23082)) % 183.16/183.19 [2309]~E(x23091,x23092)+E(f762(x23091,x23093,x23094),f762(x23092,x23093,x23094)) % 183.16/183.19 [2310]~E(x23101,x23102)+E(f762(x23103,x23101,x23104),f762(x23103,x23102,x23104)) % 183.16/183.19 [2311]~E(x23111,x23112)+E(f762(x23113,x23114,x23111),f762(x23113,x23114,x23112)) % 183.16/183.19 [2312]~E(x23121,x23122)+E(f147(x23121,x23123),f147(x23122,x23123)) % 183.16/183.19 [2313]~E(x23131,x23132)+E(f147(x23133,x23131),f147(x23133,x23132)) % 183.16/183.19 [2314]~E(x23141,x23142)+E(f533(x23141,x23143,x23144,x23145,x23146,x23147,x23148),f533(x23142,x23143,x23144,x23145,x23146,x23147,x23148)) % 183.16/183.19 [2315]~E(x23151,x23152)+E(f533(x23153,x23151,x23154,x23155,x23156,x23157,x23158),f533(x23153,x23152,x23154,x23155,x23156,x23157,x23158)) % 183.16/183.19 [2316]~E(x23161,x23162)+E(f533(x23163,x23164,x23161,x23165,x23166,x23167,x23168),f533(x23163,x23164,x23162,x23165,x23166,x23167,x23168)) % 183.16/183.19 [2317]~E(x23171,x23172)+E(f533(x23173,x23174,x23175,x23171,x23176,x23177,x23178),f533(x23173,x23174,x23175,x23172,x23176,x23177,x23178)) % 183.16/183.19 [2318]~E(x23181,x23182)+E(f533(x23183,x23184,x23185,x23186,x23181,x23187,x23188),f533(x23183,x23184,x23185,x23186,x23182,x23187,x23188)) % 183.16/183.19 [2319]~E(x23191,x23192)+E(f533(x23193,x23194,x23195,x23196,x23197,x23191,x23198),f533(x23193,x23194,x23195,x23196,x23197,x23192,x23198)) % 183.16/183.19 [2320]~E(x23201,x23202)+E(f533(x23203,x23204,x23205,x23206,x23207,x23208,x23201),f533(x23203,x23204,x23205,x23206,x23207,x23208,x23202)) % 183.16/183.19 [2321]~E(x23211,x23212)+E(f487(x23211,x23213,x23214),f487(x23212,x23213,x23214)) % 183.16/183.19 [2322]~E(x23221,x23222)+E(f487(x23223,x23221,x23224),f487(x23223,x23222,x23224)) % 183.16/183.19 [2323]~E(x23231,x23232)+E(f487(x23233,x23234,x23231),f487(x23233,x23234,x23232)) % 183.16/183.19 [2324]~E(x23241,x23242)+E(f828(x23241,x23243,x23244,x23245),f828(x23242,x23243,x23244,x23245)) % 183.16/183.19 [2325]~E(x23251,x23252)+E(f828(x23253,x23251,x23254,x23255),f828(x23253,x23252,x23254,x23255)) % 183.16/183.19 [2326]~E(x23261,x23262)+E(f828(x23263,x23264,x23261,x23265),f828(x23263,x23264,x23262,x23265)) % 183.16/183.19 [2327]~E(x23271,x23272)+E(f828(x23273,x23274,x23275,x23271),f828(x23273,x23274,x23275,x23272)) % 183.16/183.19 [2328]~E(x23281,x23282)+E(f775(x23281,x23283),f775(x23282,x23283)) % 183.16/183.19 [2329]~E(x23291,x23292)+E(f775(x23293,x23291),f775(x23293,x23292)) % 183.16/183.19 [2330]~E(x23301,x23302)+E(f390(x23301,x23303),f390(x23302,x23303)) % 183.16/183.19 [2331]~E(x23311,x23312)+E(f390(x23313,x23311),f390(x23313,x23312)) % 183.16/183.19 [2332]~E(x23321,x23322)+E(f752(x23321,x23323,x23324),f752(x23322,x23323,x23324)) % 183.16/183.19 [2333]~E(x23331,x23332)+E(f752(x23333,x23331,x23334),f752(x23333,x23332,x23334)) % 183.16/183.19 [2334]~E(x23341,x23342)+E(f752(x23343,x23344,x23341),f752(x23343,x23344,x23342)) % 183.16/183.19 [2335]~E(x23351,x23352)+E(f805(x23351,x23353),f805(x23352,x23353)) % 183.16/183.19 [2336]~E(x23361,x23362)+E(f805(x23363,x23361),f805(x23363,x23362)) % 183.16/183.19 [2337]~E(x23371,x23372)+E(f656(x23371,x23373,x23374),f656(x23372,x23373,x23374)) % 183.16/183.19 [2338]~E(x23381,x23382)+E(f656(x23383,x23381,x23384),f656(x23383,x23382,x23384)) % 183.16/183.19 [2339]~E(x23391,x23392)+E(f656(x23393,x23394,x23391),f656(x23393,x23394,x23392)) % 183.16/183.19 [2340]~E(x23401,x23402)+E(f641(x23401,x23403,x23404,x23405,x23406,x23407,x23408),f641(x23402,x23403,x23404,x23405,x23406,x23407,x23408)) % 183.16/183.19 [2341]~E(x23411,x23412)+E(f641(x23413,x23411,x23414,x23415,x23416,x23417,x23418),f641(x23413,x23412,x23414,x23415,x23416,x23417,x23418)) % 183.16/183.19 [2342]~E(x23421,x23422)+E(f641(x23423,x23424,x23421,x23425,x23426,x23427,x23428),f641(x23423,x23424,x23422,x23425,x23426,x23427,x23428)) % 183.16/183.19 [2343]~E(x23431,x23432)+E(f641(x23433,x23434,x23435,x23431,x23436,x23437,x23438),f641(x23433,x23434,x23435,x23432,x23436,x23437,x23438)) % 183.16/183.19 [2344]~E(x23441,x23442)+E(f641(x23443,x23444,x23445,x23446,x23441,x23447,x23448),f641(x23443,x23444,x23445,x23446,x23442,x23447,x23448)) % 183.16/183.19 [2345]~E(x23451,x23452)+E(f641(x23453,x23454,x23455,x23456,x23457,x23451,x23458),f641(x23453,x23454,x23455,x23456,x23457,x23452,x23458)) % 183.16/183.19 [2346]~E(x23461,x23462)+E(f641(x23463,x23464,x23465,x23466,x23467,x23468,x23461),f641(x23463,x23464,x23465,x23466,x23467,x23468,x23462)) % 183.16/183.20 [2347]~E(x23471,x23472)+E(f847(x23471,x23473,x23474),f847(x23472,x23473,x23474)) % 183.16/183.20 [2348]~E(x23481,x23482)+E(f847(x23483,x23481,x23484),f847(x23483,x23482,x23484)) % 183.16/183.20 [2349]~E(x23491,x23492)+E(f847(x23493,x23494,x23491),f847(x23493,x23494,x23492)) % 183.16/183.20 [2350]~E(x23501,x23502)+E(f520(x23501,x23503,x23504),f520(x23502,x23503,x23504)) % 183.16/183.20 [2351]~E(x23511,x23512)+E(f520(x23513,x23511,x23514),f520(x23513,x23512,x23514)) % 183.16/183.20 [2352]~E(x23521,x23522)+E(f520(x23523,x23524,x23521),f520(x23523,x23524,x23522)) % 183.16/183.20 [2353]~E(x23531,x23532)+E(f623(x23531,x23533,x23534),f623(x23532,x23533,x23534)) % 183.16/183.20 [2354]~E(x23541,x23542)+E(f623(x23543,x23541,x23544),f623(x23543,x23542,x23544)) % 183.16/183.20 [2355]~E(x23551,x23552)+E(f623(x23553,x23554,x23551),f623(x23553,x23554,x23552)) % 183.16/183.20 [2356]~E(x23561,x23562)+E(f826(x23561,x23563,x23564,x23565),f826(x23562,x23563,x23564,x23565)) % 183.16/183.20 [2357]~E(x23571,x23572)+E(f826(x23573,x23571,x23574,x23575),f826(x23573,x23572,x23574,x23575)) % 183.16/183.20 [2358]~E(x23581,x23582)+E(f826(x23583,x23584,x23581,x23585),f826(x23583,x23584,x23582,x23585)) % 183.16/183.20 [2359]~E(x23591,x23592)+E(f826(x23593,x23594,x23595,x23591),f826(x23593,x23594,x23595,x23592)) % 183.16/183.20 [2360]~E(x23601,x23602)+E(f486(x23601),f486(x23602)) % 183.16/183.20 [2361]~E(x23611,x23612)+E(f454(x23611,x23613),f454(x23612,x23613)) % 183.16/183.20 [2362]~E(x23621,x23622)+E(f454(x23623,x23621),f454(x23623,x23622)) % 183.16/183.20 [2363]~E(x23631,x23632)+E(f354(x23631,x23633),f354(x23632,x23633)) % 183.16/183.20 [2364]~E(x23641,x23642)+E(f354(x23643,x23641),f354(x23643,x23642)) % 183.16/183.20 [2365]~E(x23651,x23652)+E(f125(x23651),f125(x23652)) % 183.16/183.20 [2366]~E(x23661,x23662)+E(f275(x23661,x23663,x23664,x23665,x23666),f275(x23662,x23663,x23664,x23665,x23666)) % 183.16/183.20 [2367]~E(x23671,x23672)+E(f275(x23673,x23671,x23674,x23675,x23676),f275(x23673,x23672,x23674,x23675,x23676)) % 183.16/183.20 [2368]~E(x23681,x23682)+E(f275(x23683,x23684,x23681,x23685,x23686),f275(x23683,x23684,x23682,x23685,x23686)) % 183.16/183.20 [2369]~E(x23691,x23692)+E(f275(x23693,x23694,x23695,x23691,x23696),f275(x23693,x23694,x23695,x23692,x23696)) % 183.16/183.20 [2370]~E(x23701,x23702)+E(f275(x23703,x23704,x23705,x23706,x23701),f275(x23703,x23704,x23705,x23706,x23702)) % 183.16/183.20 [2371]~E(x23711,x23712)+E(f759(x23711,x23713,x23714,x23715),f759(x23712,x23713,x23714,x23715)) % 183.16/183.20 [2372]~E(x23721,x23722)+E(f759(x23723,x23721,x23724,x23725),f759(x23723,x23722,x23724,x23725)) % 183.16/183.20 [2373]~E(x23731,x23732)+E(f759(x23733,x23734,x23731,x23735),f759(x23733,x23734,x23732,x23735)) % 183.16/183.20 [2374]~E(x23741,x23742)+E(f759(x23743,x23744,x23745,x23741),f759(x23743,x23744,x23745,x23742)) % 183.16/183.20 [2375]~E(x23751,x23752)+E(f237(x23751,x23753,x23754),f237(x23752,x23753,x23754)) % 183.16/183.20 [2376]~E(x23761,x23762)+E(f237(x23763,x23761,x23764),f237(x23763,x23762,x23764)) % 183.16/183.20 [2377]~E(x23771,x23772)+E(f237(x23773,x23774,x23771),f237(x23773,x23774,x23772)) % 183.16/183.20 [2378]~E(x23781,x23782)+E(f511(x23781,x23783,x23784),f511(x23782,x23783,x23784)) % 183.16/183.20 [2379]~E(x23791,x23792)+E(f511(x23793,x23791,x23794),f511(x23793,x23792,x23794)) % 183.16/183.20 [2380]~E(x23801,x23802)+E(f511(x23803,x23804,x23801),f511(x23803,x23804,x23802)) % 183.16/183.20 [2381]~E(x23811,x23812)+E(f726(x23811,x23813),f726(x23812,x23813)) % 183.16/183.20 [2382]~E(x23821,x23822)+E(f726(x23823,x23821),f726(x23823,x23822)) % 183.16/183.20 [2383]~E(x23831,x23832)+E(f96(x23831,x23833,x23834),f96(x23832,x23833,x23834)) % 183.16/183.20 [2384]~E(x23841,x23842)+E(f96(x23843,x23841,x23844),f96(x23843,x23842,x23844)) % 183.16/183.20 [2385]~E(x23851,x23852)+E(f96(x23853,x23854,x23851),f96(x23853,x23854,x23852)) % 183.16/183.20 [2386]~E(x23861,x23862)+E(f567(x23861,x23863,x23864),f567(x23862,x23863,x23864)) % 183.16/183.20 [2387]~E(x23871,x23872)+E(f567(x23873,x23871,x23874),f567(x23873,x23872,x23874)) % 183.16/183.20 [2388]~E(x23881,x23882)+E(f567(x23883,x23884,x23881),f567(x23883,x23884,x23882)) % 183.16/183.20 [2389]~E(x23891,x23892)+E(f438(x23891,x23893,x23894,x23895),f438(x23892,x23893,x23894,x23895)) % 183.16/183.20 [2390]~E(x23901,x23902)+E(f438(x23903,x23901,x23904,x23905),f438(x23903,x23902,x23904,x23905)) % 183.16/183.20 [2391]~E(x23911,x23912)+E(f438(x23913,x23914,x23911,x23915),f438(x23913,x23914,x23912,x23915)) % 183.16/183.20 [2392]~E(x23921,x23922)+E(f438(x23923,x23924,x23925,x23921),f438(x23923,x23924,x23925,x23922)) % 183.16/183.20 [2393]~E(x23931,x23932)+E(f786(x23931,x23933,x23934,x23935,x23936,x23937),f786(x23932,x23933,x23934,x23935,x23936,x23937)) % 183.16/183.20 [2394]~E(x23941,x23942)+E(f786(x23943,x23941,x23944,x23945,x23946,x23947),f786(x23943,x23942,x23944,x23945,x23946,x23947)) % 183.16/183.20 [2395]~E(x23951,x23952)+E(f786(x23953,x23954,x23951,x23955,x23956,x23957),f786(x23953,x23954,x23952,x23955,x23956,x23957)) % 183.16/183.20 [2396]~E(x23961,x23962)+E(f786(x23963,x23964,x23965,x23961,x23966,x23967),f786(x23963,x23964,x23965,x23962,x23966,x23967)) % 183.16/183.20 [2397]~E(x23971,x23972)+E(f786(x23973,x23974,x23975,x23976,x23971,x23977),f786(x23973,x23974,x23975,x23976,x23972,x23977)) % 183.16/183.20 [2398]~E(x23981,x23982)+E(f786(x23983,x23984,x23985,x23986,x23987,x23981),f786(x23983,x23984,x23985,x23986,x23987,x23982)) % 183.16/183.20 [2399]~E(x23991,x23992)+E(f414(x23991,x23993,x23994),f414(x23992,x23993,x23994)) % 183.16/183.20 [2400]~E(x24001,x24002)+E(f414(x24003,x24001,x24004),f414(x24003,x24002,x24004)) % 183.16/183.20 [2401]~E(x24011,x24012)+E(f414(x24013,x24014,x24011),f414(x24013,x24014,x24012)) % 183.16/183.20 [2402]~E(x24021,x24022)+E(f610(x24021,x24023,x24024,x24025,x24026,x24027),f610(x24022,x24023,x24024,x24025,x24026,x24027)) % 183.16/183.20 [2403]~E(x24031,x24032)+E(f610(x24033,x24031,x24034,x24035,x24036,x24037),f610(x24033,x24032,x24034,x24035,x24036,x24037)) % 183.16/183.20 [2404]~E(x24041,x24042)+E(f610(x24043,x24044,x24041,x24045,x24046,x24047),f610(x24043,x24044,x24042,x24045,x24046,x24047)) % 183.16/183.20 [2405]~E(x24051,x24052)+E(f610(x24053,x24054,x24055,x24051,x24056,x24057),f610(x24053,x24054,x24055,x24052,x24056,x24057)) % 183.16/183.20 [2406]~E(x24061,x24062)+E(f610(x24063,x24064,x24065,x24066,x24061,x24067),f610(x24063,x24064,x24065,x24066,x24062,x24067)) % 183.16/183.20 [2407]~E(x24071,x24072)+E(f610(x24073,x24074,x24075,x24076,x24077,x24071),f610(x24073,x24074,x24075,x24076,x24077,x24072)) % 183.16/183.20 [2408]~E(x24081,x24082)+E(f864(x24081,x24083,x24084),f864(x24082,x24083,x24084)) % 183.16/183.20 [2409]~E(x24091,x24092)+E(f864(x24093,x24091,x24094),f864(x24093,x24092,x24094)) % 183.16/183.20 [2410]~E(x24101,x24102)+E(f864(x24103,x24104,x24101),f864(x24103,x24104,x24102)) % 183.16/183.20 [2411]~E(x24111,x24112)+E(f555(x24111),f555(x24112)) % 183.16/183.20 [2412]~E(x24121,x24122)+E(f833(x24121,x24123,x24124,x24125,x24126,x24127,x24128,x24129),f833(x24122,x24123,x24124,x24125,x24126,x24127,x24128,x24129)) % 183.16/183.20 [2413]~E(x24131,x24132)+E(f833(x24133,x24131,x24134,x24135,x24136,x24137,x24138,x24139),f833(x24133,x24132,x24134,x24135,x24136,x24137,x24138,x24139)) % 183.16/183.20 [2414]~E(x24141,x24142)+E(f833(x24143,x24144,x24141,x24145,x24146,x24147,x24148,x24149),f833(x24143,x24144,x24142,x24145,x24146,x24147,x24148,x24149)) % 183.16/183.20 [2415]~E(x24151,x24152)+E(f833(x24153,x24154,x24155,x24151,x24156,x24157,x24158,x24159),f833(x24153,x24154,x24155,x24152,x24156,x24157,x24158,x24159)) % 183.16/183.20 [2416]~E(x24161,x24162)+E(f833(x24163,x24164,x24165,x24166,x24161,x24167,x24168,x24169),f833(x24163,x24164,x24165,x24166,x24162,x24167,x24168,x24169)) % 183.16/183.20 [2417]~E(x24171,x24172)+E(f833(x24173,x24174,x24175,x24176,x24177,x24171,x24178,x24179),f833(x24173,x24174,x24175,x24176,x24177,x24172,x24178,x24179)) % 183.16/183.20 [2418]~E(x24181,x24182)+E(f833(x24183,x24184,x24185,x24186,x24187,x24188,x24181,x24189),f833(x24183,x24184,x24185,x24186,x24187,x24188,x24182,x24189)) % 183.16/183.20 [2419]~E(x24191,x24192)+E(f833(x24193,x24194,x24195,x24196,x24197,x24198,x24199,x24191),f833(x24193,x24194,x24195,x24196,x24197,x24198,x24199,x24192)) % 183.16/183.20 [2420]~E(x24201,x24202)+E(f429(x24201,x24203,x24204,x24205),f429(x24202,x24203,x24204,x24205)) % 183.16/183.20 [2421]~E(x24211,x24212)+E(f429(x24213,x24211,x24214,x24215),f429(x24213,x24212,x24214,x24215)) % 183.16/183.20 [2422]~E(x24221,x24222)+E(f429(x24223,x24224,x24221,x24225),f429(x24223,x24224,x24222,x24225)) % 183.16/183.20 [2423]~E(x24231,x24232)+E(f429(x24233,x24234,x24235,x24231),f429(x24233,x24234,x24235,x24232)) % 183.16/183.20 [2424]~E(x24241,x24242)+E(f674(x24241,x24243,x24244,x24245,x24246),f674(x24242,x24243,x24244,x24245,x24246)) % 183.16/183.20 [2425]~E(x24251,x24252)+E(f674(x24253,x24251,x24254,x24255,x24256),f674(x24253,x24252,x24254,x24255,x24256)) % 183.16/183.20 [2426]~E(x24261,x24262)+E(f674(x24263,x24264,x24261,x24265,x24266),f674(x24263,x24264,x24262,x24265,x24266)) % 183.16/183.20 [2427]~E(x24271,x24272)+E(f674(x24273,x24274,x24275,x24271,x24276),f674(x24273,x24274,x24275,x24272,x24276)) % 183.16/183.20 [2428]~E(x24281,x24282)+E(f674(x24283,x24284,x24285,x24286,x24281),f674(x24283,x24284,x24285,x24286,x24282)) % 183.16/183.20 [2429]~E(x24291,x24292)+E(f629(x24291,x24293),f629(x24292,x24293)) % 183.16/183.20 [2430]~E(x24301,x24302)+E(f629(x24303,x24301),f629(x24303,x24302)) % 183.16/183.20 [2431]~E(x24311,x24312)+E(f337(x24311,x24313,x24314,x24315),f337(x24312,x24313,x24314,x24315)) % 183.16/183.20 [2432]~E(x24321,x24322)+E(f337(x24323,x24321,x24324,x24325),f337(x24323,x24322,x24324,x24325)) % 183.16/183.20 [2433]~E(x24331,x24332)+E(f337(x24333,x24334,x24331,x24335),f337(x24333,x24334,x24332,x24335)) % 183.16/183.20 [2434]~E(x24341,x24342)+E(f337(x24343,x24344,x24345,x24341),f337(x24343,x24344,x24345,x24342)) % 183.16/183.20 [2435]~E(x24351,x24352)+E(f463(x24351,x24353,x24354,x24355,x24356),f463(x24352,x24353,x24354,x24355,x24356)) % 183.16/183.20 [2436]~E(x24361,x24362)+E(f463(x24363,x24361,x24364,x24365,x24366),f463(x24363,x24362,x24364,x24365,x24366)) % 183.16/183.20 [2437]~E(x24371,x24372)+E(f463(x24373,x24374,x24371,x24375,x24376),f463(x24373,x24374,x24372,x24375,x24376)) % 183.16/183.20 [2438]~E(x24381,x24382)+E(f463(x24383,x24384,x24385,x24381,x24386),f463(x24383,x24384,x24385,x24382,x24386)) % 183.16/183.20 [2439]~E(x24391,x24392)+E(f463(x24393,x24394,x24395,x24396,x24391),f463(x24393,x24394,x24395,x24396,x24392)) % 183.16/183.20 [2440]~E(x24401,x24402)+E(f490(x24401,x24403),f490(x24402,x24403)) % 183.16/183.20 [2441]~E(x24411,x24412)+E(f490(x24413,x24411),f490(x24413,x24412)) % 183.16/183.20 [2442]~E(x24421,x24422)+E(f643(x24421,x24423,x24424,x24425,x24426),f643(x24422,x24423,x24424,x24425,x24426)) % 183.16/183.20 [2443]~E(x24431,x24432)+E(f643(x24433,x24431,x24434,x24435,x24436),f643(x24433,x24432,x24434,x24435,x24436)) % 183.16/183.20 [2444]~E(x24441,x24442)+E(f643(x24443,x24444,x24441,x24445,x24446),f643(x24443,x24444,x24442,x24445,x24446)) % 183.16/183.20 [2445]~E(x24451,x24452)+E(f643(x24453,x24454,x24455,x24451,x24456),f643(x24453,x24454,x24455,x24452,x24456)) % 183.16/183.20 [2446]~E(x24461,x24462)+E(f643(x24463,x24464,x24465,x24466,x24461),f643(x24463,x24464,x24465,x24466,x24462)) % 183.16/183.20 [2447]~E(x24471,x24472)+E(f636(x24471,x24473),f636(x24472,x24473)) % 183.16/183.20 [2448]~E(x24481,x24482)+E(f636(x24483,x24481),f636(x24483,x24482)) % 183.16/183.20 [2449]~E(x24491,x24492)+E(f416(x24491,x24493,x24494),f416(x24492,x24493,x24494)) % 183.16/183.20 [2450]~E(x24501,x24502)+E(f416(x24503,x24501,x24504),f416(x24503,x24502,x24504)) % 183.16/183.20 [2451]~E(x24511,x24512)+E(f416(x24513,x24514,x24511),f416(x24513,x24514,x24512)) % 183.16/183.20 [2452]~E(x24521,x24522)+E(f795(x24521,x24523,x24524),f795(x24522,x24523,x24524)) % 183.16/183.20 [2453]~E(x24531,x24532)+E(f795(x24533,x24531,x24534),f795(x24533,x24532,x24534)) % 183.16/183.20 [2454]~E(x24541,x24542)+E(f795(x24543,x24544,x24541),f795(x24543,x24544,x24542)) % 183.16/183.20 [2455]~E(x24551,x24552)+E(f385(x24551),f385(x24552)) % 183.16/183.20 [2456]~E(x24561,x24562)+E(f840(x24561,x24563,x24564,x24565,x24566,x24567),f840(x24562,x24563,x24564,x24565,x24566,x24567)) % 183.16/183.20 [2457]~E(x24571,x24572)+E(f840(x24573,x24571,x24574,x24575,x24576,x24577),f840(x24573,x24572,x24574,x24575,x24576,x24577)) % 183.16/183.20 [2458]~E(x24581,x24582)+E(f840(x24583,x24584,x24581,x24585,x24586,x24587),f840(x24583,x24584,x24582,x24585,x24586,x24587)) % 183.16/183.20 [2459]~E(x24591,x24592)+E(f840(x24593,x24594,x24595,x24591,x24596,x24597),f840(x24593,x24594,x24595,x24592,x24596,x24597)) % 183.16/183.20 [2460]~E(x24601,x24602)+E(f840(x24603,x24604,x24605,x24606,x24601,x24607),f840(x24603,x24604,x24605,x24606,x24602,x24607)) % 183.16/183.20 [2461]~E(x24611,x24612)+E(f840(x24613,x24614,x24615,x24616,x24617,x24611),f840(x24613,x24614,x24615,x24616,x24617,x24612)) % 183.16/183.20 [2462]~E(x24621,x24622)+E(f238(x24621,x24623,x24624,x24625),f238(x24622,x24623,x24624,x24625)) % 183.16/183.20 [2463]~E(x24631,x24632)+E(f238(x24633,x24631,x24634,x24635),f238(x24633,x24632,x24634,x24635)) % 183.16/183.20 [2464]~E(x24641,x24642)+E(f238(x24643,x24644,x24641,x24645),f238(x24643,x24644,x24642,x24645)) % 183.16/183.20 [2465]~E(x24651,x24652)+E(f238(x24653,x24654,x24655,x24651),f238(x24653,x24654,x24655,x24652)) % 183.16/183.20 [2466]~E(x24661,x24662)+E(f708(x24661,x24663,x24664),f708(x24662,x24663,x24664)) % 183.16/183.20 [2467]~E(x24671,x24672)+E(f708(x24673,x24671,x24674),f708(x24673,x24672,x24674)) % 183.16/183.20 [2468]~E(x24681,x24682)+E(f708(x24683,x24684,x24681),f708(x24683,x24684,x24682)) % 183.16/183.20 [2469]~E(x24691,x24692)+E(f221(x24691,x24693,x24694,x24695),f221(x24692,x24693,x24694,x24695)) % 183.16/183.20 [2470]~E(x24701,x24702)+E(f221(x24703,x24701,x24704,x24705),f221(x24703,x24702,x24704,x24705)) % 183.16/183.20 [2471]~E(x24711,x24712)+E(f221(x24713,x24714,x24711,x24715),f221(x24713,x24714,x24712,x24715)) % 183.16/183.20 [2472]~E(x24721,x24722)+E(f221(x24723,x24724,x24725,x24721),f221(x24723,x24724,x24725,x24722)) % 183.16/183.20 [2473]~E(x24731,x24732)+E(f565(x24731,x24733,x24734,x24735),f565(x24732,x24733,x24734,x24735)) % 183.16/183.20 [2474]~E(x24741,x24742)+E(f565(x24743,x24741,x24744,x24745),f565(x24743,x24742,x24744,x24745)) % 183.16/183.20 [2475]~E(x24751,x24752)+E(f565(x24753,x24754,x24751,x24755),f565(x24753,x24754,x24752,x24755)) % 183.16/183.20 [2476]~E(x24761,x24762)+E(f565(x24763,x24764,x24765,x24761),f565(x24763,x24764,x24765,x24762)) % 183.16/183.20 [2477]~E(x24771,x24772)+E(f509(x24771,x24773,x24774),f509(x24772,x24773,x24774)) % 183.16/183.20 [2478]~E(x24781,x24782)+E(f509(x24783,x24781,x24784),f509(x24783,x24782,x24784)) % 183.16/183.20 [2479]~E(x24791,x24792)+E(f509(x24793,x24794,x24791),f509(x24793,x24794,x24792)) % 183.16/183.20 [2480]~E(x24801,x24802)+E(f451(x24801,x24803),f451(x24802,x24803)) % 183.16/183.20 [2481]~E(x24811,x24812)+E(f451(x24813,x24811),f451(x24813,x24812)) % 183.16/183.20 [2482]~E(x24821,x24822)+E(f476(x24821,x24823,x24824,x24825),f476(x24822,x24823,x24824,x24825)) % 183.16/183.20 [2483]~E(x24831,x24832)+E(f476(x24833,x24831,x24834,x24835),f476(x24833,x24832,x24834,x24835)) % 183.16/183.20 [2484]~E(x24841,x24842)+E(f476(x24843,x24844,x24841,x24845),f476(x24843,x24844,x24842,x24845)) % 183.16/183.20 [2485]~E(x24851,x24852)+E(f476(x24853,x24854,x24855,x24851),f476(x24853,x24854,x24855,x24852)) % 183.16/183.20 [2486]~E(x24861,x24862)+E(f715(x24861,x24863,x24864,x24865,x24866),f715(x24862,x24863,x24864,x24865,x24866)) % 183.16/183.20 [2487]~E(x24871,x24872)+E(f715(x24873,x24871,x24874,x24875,x24876),f715(x24873,x24872,x24874,x24875,x24876)) % 183.16/183.20 [2488]~E(x24881,x24882)+E(f715(x24883,x24884,x24881,x24885,x24886),f715(x24883,x24884,x24882,x24885,x24886)) % 183.16/183.20 [2489]~E(x24891,x24892)+E(f715(x24893,x24894,x24895,x24891,x24896),f715(x24893,x24894,x24895,x24892,x24896)) % 183.16/183.20 [2490]~E(x24901,x24902)+E(f715(x24903,x24904,x24905,x24906,x24901),f715(x24903,x24904,x24905,x24906,x24902)) % 183.16/183.20 [2491]~E(x24911,x24912)+E(f603(x24911,x24913,x24914),f603(x24912,x24913,x24914)) % 183.16/183.20 [2492]~E(x24921,x24922)+E(f603(x24923,x24921,x24924),f603(x24923,x24922,x24924)) % 183.16/183.20 [2493]~E(x24931,x24932)+E(f603(x24933,x24934,x24931),f603(x24933,x24934,x24932)) % 183.16/183.20 [2494]~E(x24941,x24942)+E(f542(x24941,x24943,x24944,x24945,x24946,x24947,x24948),f542(x24942,x24943,x24944,x24945,x24946,x24947,x24948)) % 183.16/183.20 [2495]~E(x24951,x24952)+E(f542(x24953,x24951,x24954,x24955,x24956,x24957,x24958),f542(x24953,x24952,x24954,x24955,x24956,x24957,x24958)) % 183.16/183.20 [2496]~E(x24961,x24962)+E(f542(x24963,x24964,x24961,x24965,x24966,x24967,x24968),f542(x24963,x24964,x24962,x24965,x24966,x24967,x24968)) % 183.16/183.20 [2497]~E(x24971,x24972)+E(f542(x24973,x24974,x24975,x24971,x24976,x24977,x24978),f542(x24973,x24974,x24975,x24972,x24976,x24977,x24978)) % 183.16/183.20 [2498]~E(x24981,x24982)+E(f542(x24983,x24984,x24985,x24986,x24981,x24987,x24988),f542(x24983,x24984,x24985,x24986,x24982,x24987,x24988)) % 183.16/183.20 [2499]~E(x24991,x24992)+E(f542(x24993,x24994,x24995,x24996,x24997,x24991,x24998),f542(x24993,x24994,x24995,x24996,x24997,x24992,x24998)) % 183.16/183.20 [2500]~E(x25001,x25002)+E(f542(x25003,x25004,x25005,x25006,x25007,x25008,x25001),f542(x25003,x25004,x25005,x25006,x25007,x25008,x25002)) % 183.16/183.20 [2501]~E(x25011,x25012)+E(f378(x25011,x25013,x25014,x25015),f378(x25012,x25013,x25014,x25015)) % 183.16/183.20 [2502]~E(x25021,x25022)+E(f378(x25023,x25021,x25024,x25025),f378(x25023,x25022,x25024,x25025)) % 183.16/183.20 [2503]~E(x25031,x25032)+E(f378(x25033,x25034,x25031,x25035),f378(x25033,x25034,x25032,x25035)) % 183.16/183.20 [2504]~E(x25041,x25042)+E(f378(x25043,x25044,x25045,x25041),f378(x25043,x25044,x25045,x25042)) % 183.16/183.20 [2505]~E(x25051,x25052)+E(f360(x25051,x25053,x25054),f360(x25052,x25053,x25054)) % 183.16/183.20 [2506]~E(x25061,x25062)+E(f360(x25063,x25061,x25064),f360(x25063,x25062,x25064)) % 183.16/183.20 [2507]~E(x25071,x25072)+E(f360(x25073,x25074,x25071),f360(x25073,x25074,x25072)) % 183.16/183.20 [2508]~E(x25081,x25082)+E(f503(x25081,x25083),f503(x25082,x25083)) % 183.16/183.20 [2509]~E(x25091,x25092)+E(f503(x25093,x25091),f503(x25093,x25092)) % 183.16/183.20 [2510]~E(x25101,x25102)+E(f711(x25101,x25103,x25104,x25105,x25106),f711(x25102,x25103,x25104,x25105,x25106)) % 183.16/183.20 [2511]~E(x25111,x25112)+E(f711(x25113,x25111,x25114,x25115,x25116),f711(x25113,x25112,x25114,x25115,x25116)) % 183.16/183.20 [2512]~E(x25121,x25122)+E(f711(x25123,x25124,x25121,x25125,x25126),f711(x25123,x25124,x25122,x25125,x25126)) % 183.16/183.20 [2513]~E(x25131,x25132)+E(f711(x25133,x25134,x25135,x25131,x25136),f711(x25133,x25134,x25135,x25132,x25136)) % 183.16/183.20 [2514]~E(x25141,x25142)+E(f711(x25143,x25144,x25145,x25146,x25141),f711(x25143,x25144,x25145,x25146,x25142)) % 183.16/183.20 [2515]~E(x25151,x25152)+E(f433(x25151,x25153,x25154),f433(x25152,x25153,x25154)) % 183.16/183.20 [2516]~E(x25161,x25162)+E(f433(x25163,x25161,x25164),f433(x25163,x25162,x25164)) % 183.16/183.20 [2517]~E(x25171,x25172)+E(f433(x25173,x25174,x25171),f433(x25173,x25174,x25172)) % 183.16/183.20 [2518]~E(x25181,x25182)+E(f353(x25181,x25183,x25184,x25185),f353(x25182,x25183,x25184,x25185)) % 183.16/183.20 [2519]~E(x25191,x25192)+E(f353(x25193,x25191,x25194,x25195),f353(x25193,x25192,x25194,x25195)) % 183.16/183.20 [2520]~E(x25201,x25202)+E(f353(x25203,x25204,x25201,x25205),f353(x25203,x25204,x25202,x25205)) % 183.16/183.20 [2521]~E(x25211,x25212)+E(f353(x25213,x25214,x25215,x25211),f353(x25213,x25214,x25215,x25212)) % 183.16/183.20 [2522]~E(x25221,x25222)+E(f464(x25221,x25223,x25224),f464(x25222,x25223,x25224)) % 183.16/183.20 [2523]~E(x25231,x25232)+E(f464(x25233,x25231,x25234),f464(x25233,x25232,x25234)) % 183.16/183.20 [2524]~E(x25241,x25242)+E(f464(x25243,x25244,x25241),f464(x25243,x25244,x25242)) % 183.16/183.20 [2525]~E(x25251,x25252)+E(f798(x25251,x25253,x25254),f798(x25252,x25253,x25254)) % 183.16/183.20 [2526]~E(x25261,x25262)+E(f798(x25263,x25261,x25264),f798(x25263,x25262,x25264)) % 183.16/183.20 [2527]~E(x25271,x25272)+E(f798(x25273,x25274,x25271),f798(x25273,x25274,x25272)) % 183.16/183.20 [2528]~E(x25281,x25282)+E(f839(x25281,x25283,x25284,x25285,x25286),f839(x25282,x25283,x25284,x25285,x25286)) % 183.16/183.20 [2529]~E(x25291,x25292)+E(f839(x25293,x25291,x25294,x25295,x25296),f839(x25293,x25292,x25294,x25295,x25296)) % 183.16/183.20 [2530]~E(x25301,x25302)+E(f839(x25303,x25304,x25301,x25305,x25306),f839(x25303,x25304,x25302,x25305,x25306)) % 183.16/183.20 [2531]~E(x25311,x25312)+E(f839(x25313,x25314,x25315,x25311,x25316),f839(x25313,x25314,x25315,x25312,x25316)) % 183.16/183.20 [2532]~E(x25321,x25322)+E(f839(x25323,x25324,x25325,x25326,x25321),f839(x25323,x25324,x25325,x25326,x25322)) % 183.16/183.20 [2533]~E(x25331,x25332)+E(f219(x25331,x25333,x25334,x25335,x25336,x25337,x25338),f219(x25332,x25333,x25334,x25335,x25336,x25337,x25338)) % 183.16/183.20 [2534]~E(x25341,x25342)+E(f219(x25343,x25341,x25344,x25345,x25346,x25347,x25348),f219(x25343,x25342,x25344,x25345,x25346,x25347,x25348)) % 183.16/183.20 [2535]~E(x25351,x25352)+E(f219(x25353,x25354,x25351,x25355,x25356,x25357,x25358),f219(x25353,x25354,x25352,x25355,x25356,x25357,x25358)) % 183.16/183.20 [2536]~E(x25361,x25362)+E(f219(x25363,x25364,x25365,x25361,x25366,x25367,x25368),f219(x25363,x25364,x25365,x25362,x25366,x25367,x25368)) % 183.16/183.20 [2537]~E(x25371,x25372)+E(f219(x25373,x25374,x25375,x25376,x25371,x25377,x25378),f219(x25373,x25374,x25375,x25376,x25372,x25377,x25378)) % 183.16/183.20 [2538]~E(x25381,x25382)+E(f219(x25383,x25384,x25385,x25386,x25387,x25381,x25388),f219(x25383,x25384,x25385,x25386,x25387,x25382,x25388)) % 183.16/183.20 [2539]~E(x25391,x25392)+E(f219(x25393,x25394,x25395,x25396,x25397,x25398,x25391),f219(x25393,x25394,x25395,x25396,x25397,x25398,x25392)) % 183.16/183.20 [2540]~E(x25401,x25402)+E(f212(x25401),f212(x25402)) % 183.16/183.20 [2541]~E(x25411,x25412)+E(f423(x25411,x25413,x25414,x25415),f423(x25412,x25413,x25414,x25415)) % 183.16/183.20 [2542]~E(x25421,x25422)+E(f423(x25423,x25421,x25424,x25425),f423(x25423,x25422,x25424,x25425)) % 183.16/183.20 [2543]~E(x25431,x25432)+E(f423(x25433,x25434,x25431,x25435),f423(x25433,x25434,x25432,x25435)) % 183.16/183.20 [2544]~E(x25441,x25442)+E(f423(x25443,x25444,x25445,x25441),f423(x25443,x25444,x25445,x25442)) % 183.16/183.20 [2545]~E(x25451,x25452)+E(f566(x25451,x25453),f566(x25452,x25453)) % 183.16/183.20 [2546]~E(x25461,x25462)+E(f566(x25463,x25461),f566(x25463,x25462)) % 183.16/183.20 [2547]~E(x25471,x25472)+E(f223(x25471,x25473,x25474,x25475,x25476,x25477,x25478),f223(x25472,x25473,x25474,x25475,x25476,x25477,x25478)) % 183.16/183.20 [2548]~E(x25481,x25482)+E(f223(x25483,x25481,x25484,x25485,x25486,x25487,x25488),f223(x25483,x25482,x25484,x25485,x25486,x25487,x25488)) % 183.16/183.20 [2549]~E(x25491,x25492)+E(f223(x25493,x25494,x25491,x25495,x25496,x25497,x25498),f223(x25493,x25494,x25492,x25495,x25496,x25497,x25498)) % 183.16/183.20 [2550]~E(x25501,x25502)+E(f223(x25503,x25504,x25505,x25501,x25506,x25507,x25508),f223(x25503,x25504,x25505,x25502,x25506,x25507,x25508)) % 183.16/183.20 [2551]~E(x25511,x25512)+E(f223(x25513,x25514,x25515,x25516,x25511,x25517,x25518),f223(x25513,x25514,x25515,x25516,x25512,x25517,x25518)) % 183.16/183.20 [2552]~E(x25521,x25522)+E(f223(x25523,x25524,x25525,x25526,x25527,x25521,x25528),f223(x25523,x25524,x25525,x25526,x25527,x25522,x25528)) % 183.16/183.20 [2553]~E(x25531,x25532)+E(f223(x25533,x25534,x25535,x25536,x25537,x25538,x25531),f223(x25533,x25534,x25535,x25536,x25537,x25538,x25532)) % 183.16/183.20 [2554]~E(x25541,x25542)+E(f733(x25541,x25543,x25544,x25545,x25546),f733(x25542,x25543,x25544,x25545,x25546)) % 183.16/183.20 [2555]~E(x25551,x25552)+E(f733(x25553,x25551,x25554,x25555,x25556),f733(x25553,x25552,x25554,x25555,x25556)) % 183.16/183.20 [2556]~E(x25561,x25562)+E(f733(x25563,x25564,x25561,x25565,x25566),f733(x25563,x25564,x25562,x25565,x25566)) % 183.16/183.20 [2557]~E(x25571,x25572)+E(f733(x25573,x25574,x25575,x25571,x25576),f733(x25573,x25574,x25575,x25572,x25576)) % 183.16/183.20 [2558]~E(x25581,x25582)+E(f733(x25583,x25584,x25585,x25586,x25581),f733(x25583,x25584,x25585,x25586,x25582)) % 183.16/183.20 [2559]~E(x25591,x25592)+E(f518(x25591,x25593,x25594),f518(x25592,x25593,x25594)) % 183.16/183.20 [2560]~E(x25601,x25602)+E(f518(x25603,x25601,x25604),f518(x25603,x25602,x25604)) % 183.16/183.20 [2561]~E(x25611,x25612)+E(f518(x25613,x25614,x25611),f518(x25613,x25614,x25612)) % 183.16/183.20 [2562]~E(x25621,x25622)+E(f207(x25621,x25623,x25624,x25625),f207(x25622,x25623,x25624,x25625)) % 183.16/183.20 [2563]~E(x25631,x25632)+E(f207(x25633,x25631,x25634,x25635),f207(x25633,x25632,x25634,x25635)) % 183.16/183.20 [2564]~E(x25641,x25642)+E(f207(x25643,x25644,x25641,x25645),f207(x25643,x25644,x25642,x25645)) % 183.16/183.20 [2565]~E(x25651,x25652)+E(f207(x25653,x25654,x25655,x25651),f207(x25653,x25654,x25655,x25652)) % 183.16/183.20 [2566]~E(x25661,x25662)+E(f459(x25661,x25663,x25664,x25665,x25666),f459(x25662,x25663,x25664,x25665,x25666)) % 183.16/183.20 [2567]~E(x25671,x25672)+E(f459(x25673,x25671,x25674,x25675,x25676),f459(x25673,x25672,x25674,x25675,x25676)) % 183.16/183.20 [2568]~E(x25681,x25682)+E(f459(x25683,x25684,x25681,x25685,x25686),f459(x25683,x25684,x25682,x25685,x25686)) % 183.16/183.20 [2569]~E(x25691,x25692)+E(f459(x25693,x25694,x25695,x25691,x25696),f459(x25693,x25694,x25695,x25692,x25696)) % 183.16/183.20 [2570]~E(x25701,x25702)+E(f459(x25703,x25704,x25705,x25706,x25701),f459(x25703,x25704,x25705,x25706,x25702)) % 183.16/183.20 [2571]~E(x25711,x25712)+E(f666(x25711,x25713,x25714,x25715),f666(x25712,x25713,x25714,x25715)) % 183.16/183.20 [2572]~E(x25721,x25722)+E(f666(x25723,x25721,x25724,x25725),f666(x25723,x25722,x25724,x25725)) % 183.16/183.20 [2573]~E(x25731,x25732)+E(f666(x25733,x25734,x25731,x25735),f666(x25733,x25734,x25732,x25735)) % 183.16/183.20 [2574]~E(x25741,x25742)+E(f666(x25743,x25744,x25745,x25741),f666(x25743,x25744,x25745,x25742)) % 183.16/183.20 [2575]~E(x25751,x25752)+E(f685(x25751,x25753),f685(x25752,x25753)) % 183.16/183.20 [2576]~E(x25761,x25762)+E(f685(x25763,x25761),f685(x25763,x25762)) % 183.16/183.20 [2577]~E(x25771,x25772)+E(f554(x25771,x25773,x25774,x25775,x25776),f554(x25772,x25773,x25774,x25775,x25776)) % 183.16/183.20 [2578]~E(x25781,x25782)+E(f554(x25783,x25781,x25784,x25785,x25786),f554(x25783,x25782,x25784,x25785,x25786)) % 183.16/183.20 [2579]~E(x25791,x25792)+E(f554(x25793,x25794,x25791,x25795,x25796),f554(x25793,x25794,x25792,x25795,x25796)) % 183.16/183.20 [2580]~E(x25801,x25802)+E(f554(x25803,x25804,x25805,x25801,x25806),f554(x25803,x25804,x25805,x25802,x25806)) % 183.16/183.20 [2581]~E(x25811,x25812)+E(f554(x25813,x25814,x25815,x25816,x25811),f554(x25813,x25814,x25815,x25816,x25812)) % 183.16/183.20 [2582]~E(x25821,x25822)+E(f435(x25821,x25823,x25824,x25825),f435(x25822,x25823,x25824,x25825)) % 183.16/183.20 [2583]~E(x25831,x25832)+E(f435(x25833,x25831,x25834,x25835),f435(x25833,x25832,x25834,x25835)) % 183.16/183.20 [2584]~E(x25841,x25842)+E(f435(x25843,x25844,x25841,x25845),f435(x25843,x25844,x25842,x25845)) % 183.16/183.20 [2585]~E(x25851,x25852)+E(f435(x25853,x25854,x25855,x25851),f435(x25853,x25854,x25855,x25852)) % 183.16/183.20 [2586]~E(x25861,x25862)+E(f519(x25861,x25863,x25864,x25865),f519(x25862,x25863,x25864,x25865)) % 183.16/183.20 [2587]~E(x25871,x25872)+E(f519(x25873,x25871,x25874,x25875),f519(x25873,x25872,x25874,x25875)) % 183.16/183.20 [2588]~E(x25881,x25882)+E(f519(x25883,x25884,x25881,x25885),f519(x25883,x25884,x25882,x25885)) % 183.16/183.20 [2589]~E(x25891,x25892)+E(f519(x25893,x25894,x25895,x25891),f519(x25893,x25894,x25895,x25892)) % 183.16/183.20 [2590]~E(x25901,x25902)+E(f218(x25901,x25903,x25904,x25905),f218(x25902,x25903,x25904,x25905)) % 183.16/183.20 [2591]~E(x25911,x25912)+E(f218(x25913,x25911,x25914,x25915),f218(x25913,x25912,x25914,x25915)) % 183.16/183.20 [2592]~E(x25921,x25922)+E(f218(x25923,x25924,x25921,x25925),f218(x25923,x25924,x25922,x25925)) % 183.16/183.20 [2593]~E(x25931,x25932)+E(f218(x25933,x25934,x25935,x25931),f218(x25933,x25934,x25935,x25932)) % 183.16/183.20 [2594]~E(x25941,x25942)+E(f376(x25941),f376(x25942)) % 183.16/183.20 [2595]~E(x25951,x25952)+E(f591(x25951,x25953),f591(x25952,x25953)) % 183.16/183.20 [2596]~E(x25961,x25962)+E(f591(x25963,x25961),f591(x25963,x25962)) % 183.16/183.20 [2597]~E(x25971,x25972)+E(f621(x25971,x25973,x25974,x25975),f621(x25972,x25973,x25974,x25975)) % 183.16/183.20 [2598]~E(x25981,x25982)+E(f621(x25983,x25981,x25984,x25985),f621(x25983,x25982,x25984,x25985)) % 183.16/183.20 [2599]~E(x25991,x25992)+E(f621(x25993,x25994,x25991,x25995),f621(x25993,x25994,x25992,x25995)) % 183.16/183.20 [2600]~E(x26001,x26002)+E(f621(x26003,x26004,x26005,x26001),f621(x26003,x26004,x26005,x26002)) % 183.16/183.20 [2601]~E(x26011,x26012)+E(f233(x26011,x26013,x26014),f233(x26012,x26013,x26014)) % 183.16/183.20 [2602]~E(x26021,x26022)+E(f233(x26023,x26021,x26024),f233(x26023,x26022,x26024)) % 183.16/183.20 [2603]~E(x26031,x26032)+E(f233(x26033,x26034,x26031),f233(x26033,x26034,x26032)) % 183.16/183.20 [2604]~E(x26041,x26042)+E(f455(x26041,x26043,x26044),f455(x26042,x26043,x26044)) % 183.16/183.20 [2605]~E(x26051,x26052)+E(f455(x26053,x26051,x26054),f455(x26053,x26052,x26054)) % 183.16/183.20 [2606]~E(x26061,x26062)+E(f455(x26063,x26064,x26061),f455(x26063,x26064,x26062)) % 183.16/183.20 [2607]~E(x26071,x26072)+E(f215(x26071,x26073,x26074),f215(x26072,x26073,x26074)) % 183.16/183.20 [2608]~E(x26081,x26082)+E(f215(x26083,x26081,x26084),f215(x26083,x26082,x26084)) % 183.16/183.20 [2609]~E(x26091,x26092)+E(f215(x26093,x26094,x26091),f215(x26093,x26094,x26092)) % 183.16/183.20 [2610]~E(x26101,x26102)+E(f316(x26101,x26103,x26104),f316(x26102,x26103,x26104)) % 183.16/183.20 [2611]~E(x26111,x26112)+E(f316(x26113,x26111,x26114),f316(x26113,x26112,x26114)) % 183.16/183.20 [2612]~E(x26121,x26122)+E(f316(x26123,x26124,x26121),f316(x26123,x26124,x26122)) % 183.16/183.20 [2613]~E(x26131,x26132)+E(f317(x26131,x26133,x26134),f317(x26132,x26133,x26134)) % 183.16/183.20 [2614]~E(x26141,x26142)+E(f317(x26143,x26141,x26144),f317(x26143,x26142,x26144)) % 183.16/183.20 [2615]~E(x26151,x26152)+E(f317(x26153,x26154,x26151),f317(x26153,x26154,x26152)) % 183.16/183.20 [2616]~E(x26161,x26162)+E(f707(x26161,x26163,x26164),f707(x26162,x26163,x26164)) % 183.16/183.20 [2617]~E(x26171,x26172)+E(f707(x26173,x26171,x26174),f707(x26173,x26172,x26174)) % 183.16/183.20 [2618]~E(x26181,x26182)+E(f707(x26183,x26184,x26181),f707(x26183,x26184,x26182)) % 183.16/183.20 [2619]~E(x26191,x26192)+E(f369(x26191,x26193,x26194),f369(x26192,x26193,x26194)) % 183.16/183.20 [2620]~E(x26201,x26202)+E(f369(x26203,x26201,x26204),f369(x26203,x26202,x26204)) % 183.16/183.20 [2621]~E(x26211,x26212)+E(f369(x26213,x26214,x26211),f369(x26213,x26214,x26212)) % 183.16/183.20 [2622]~P1(x26221)+P1(x26222)+~E(x26221,x26222) % 183.16/183.20 [2623]~P23(x26231)+P23(x26232)+~E(x26231,x26232) % 183.16/183.20 [2624]~P24(x26241)+P24(x26242)+~E(x26241,x26242) % 183.16/183.20 [2625]~P106(x26251)+P106(x26252)+~E(x26251,x26252) % 183.16/183.20 [2626]~P25(x26261)+P25(x26262)+~E(x26261,x26262) % 183.16/183.20 [2627]P143(x26272,x26273,x26274)+~E(x26271,x26272)+~P143(x26271,x26273,x26274) % 183.16/183.20 [2628]P143(x26283,x26282,x26284)+~E(x26281,x26282)+~P143(x26283,x26281,x26284) % 183.16/183.20 [2629]P143(x26293,x26294,x26292)+~E(x26291,x26292)+~P143(x26293,x26294,x26291) % 183.16/183.20 [2630]~P62(x26301)+P62(x26302)+~E(x26301,x26302) % 183.16/183.20 [2631]~P107(x26311)+P107(x26312)+~E(x26311,x26312) % 183.16/183.20 [2632]P144(x26322,x26323,x26324)+~E(x26321,x26322)+~P144(x26321,x26323,x26324) % 183.16/183.20 [2633]P144(x26333,x26332,x26334)+~E(x26331,x26332)+~P144(x26333,x26331,x26334) % 183.16/183.20 [2634]P144(x26343,x26344,x26342)+~E(x26341,x26342)+~P144(x26343,x26344,x26341) % 183.16/183.20 [2635]~P63(x26351)+P63(x26352)+~E(x26351,x26352) % 183.16/183.20 [2636]~P98(x26361)+P98(x26362)+~E(x26361,x26362) % 183.16/183.20 [2637]~P138(x26371)+P138(x26372)+~E(x26371,x26372) % 183.16/183.20 [2638]P22(x26382,x26383,x26384)+~E(x26381,x26382)+~P22(x26381,x26383,x26384) % 183.16/183.20 [2639]P22(x26393,x26392,x26394)+~E(x26391,x26392)+~P22(x26393,x26391,x26394) % 183.16/183.20 [2640]P22(x26403,x26404,x26402)+~E(x26401,x26402)+~P22(x26403,x26404,x26401) % 183.16/183.20 [2641]~P99(x26411)+P99(x26412)+~E(x26411,x26412) % 183.16/183.20 [2642]P37(x26422,x26423)+~E(x26421,x26422)+~P37(x26421,x26423) % 183.16/183.20 [2643]P37(x26433,x26432)+~E(x26431,x26432)+~P37(x26433,x26431) % 183.16/183.20 [2644]~P61(x26441)+P61(x26442)+~E(x26441,x26442) % 183.16/183.20 [2645]~P64(x26451)+P64(x26452)+~E(x26451,x26452) % 183.16/183.20 [2646]~P60(x26461)+P60(x26462)+~E(x26461,x26462) % 183.16/183.20 [2647]P20(x26472,x26473,x26474,x26475)+~E(x26471,x26472)+~P20(x26471,x26473,x26474,x26475) % 183.16/183.20 [2648]P20(x26483,x26482,x26484,x26485)+~E(x26481,x26482)+~P20(x26483,x26481,x26484,x26485) % 183.16/183.20 [2649]P20(x26493,x26494,x26492,x26495)+~E(x26491,x26492)+~P20(x26493,x26494,x26491,x26495) % 183.16/183.20 [2650]P20(x26503,x26504,x26505,x26502)+~E(x26501,x26502)+~P20(x26503,x26504,x26505,x26501) % 183.16/183.20 [2651]P28(x26512,x26513)+~E(x26511,x26512)+~P28(x26511,x26513) % 183.16/183.20 [2652]P28(x26523,x26522)+~E(x26521,x26522)+~P28(x26523,x26521) % 183.16/183.20 [2653]~P96(x26531)+P96(x26532)+~E(x26531,x26532) % 183.16/183.20 [2654]~P125(x26541)+P125(x26542)+~E(x26541,x26542) % 183.16/183.20 [2655]~P59(x26551)+P59(x26552)+~E(x26551,x26552) % 183.16/183.20 [2656]~P103(x26561)+P103(x26562)+~E(x26561,x26562) % 183.16/183.20 [2657]~P65(x26571)+P65(x26572)+~E(x26571,x26572) % 183.16/183.20 [2658]~P26(x26581)+P26(x26582)+~E(x26581,x26582) % 183.16/183.20 [2659]~P66(x26591)+P66(x26592)+~E(x26591,x26592) % 183.16/183.20 [2660]~P90(x26601)+P90(x26602)+~E(x26601,x26602) % 183.16/183.20 [2661]~P114(x26611)+P114(x26612)+~E(x26611,x26612) % 183.16/183.20 [2662]~P104(x26621)+P104(x26622)+~E(x26621,x26622) % 183.16/183.20 [2663]~P97(x26631)+P97(x26632)+~E(x26631,x26632) % 183.16/183.20 [2664]~P72(x26641)+P72(x26642)+~E(x26641,x26642) % 183.16/183.20 [2665]~P67(x26651)+P67(x26652)+~E(x26651,x26652) % 183.16/183.20 [2666]~P139(x26661)+P139(x26662)+~E(x26661,x26662) % 183.16/183.20 [2667]~P108(x26671)+P108(x26672)+~E(x26671,x26672) % 183.16/183.20 [2668]~P134(x26681)+P134(x26682)+~E(x26681,x26682) % 183.16/183.20 [2669]~P89(x26691)+P89(x26692)+~E(x26691,x26692) % 183.16/183.20 [2670]P53(x26702,x26703,x26704,x26705)+~E(x26701,x26702)+~P53(x26701,x26703,x26704,x26705) % 183.16/183.20 [2671]P53(x26713,x26712,x26714,x26715)+~E(x26711,x26712)+~P53(x26713,x26711,x26714,x26715) % 183.16/183.20 [2672]P53(x26723,x26724,x26722,x26725)+~E(x26721,x26722)+~P53(x26723,x26724,x26721,x26725) % 183.16/183.20 [2673]P53(x26733,x26734,x26735,x26732)+~E(x26731,x26732)+~P53(x26733,x26734,x26735,x26731) % 183.16/183.20 [2674]~P68(x26741)+P68(x26742)+~E(x26741,x26742) % 183.16/183.20 [2675]~P91(x26751)+P91(x26752)+~E(x26751,x26752) % 183.16/183.20 [2676]~P120(x26761)+P120(x26762)+~E(x26761,x26762) % 183.16/183.20 [2677]~P69(x26771)+P69(x26772)+~E(x26771,x26772) % 183.16/183.20 [2678]P33(x26782,x26783,x26784)+~E(x26781,x26782)+~P33(x26781,x26783,x26784) % 183.16/183.20 [2679]P33(x26793,x26792,x26794)+~E(x26791,x26792)+~P33(x26793,x26791,x26794) % 183.16/183.20 [2680]P33(x26803,x26804,x26802)+~E(x26801,x26802)+~P33(x26803,x26804,x26801) % 183.16/183.20 [2681]P14(x26812,x26813,x26814,x26815)+~E(x26811,x26812)+~P14(x26811,x26813,x26814,x26815) % 183.16/183.20 [2682]P14(x26823,x26822,x26824,x26825)+~E(x26821,x26822)+~P14(x26823,x26821,x26824,x26825) % 183.16/183.20 [2683]P14(x26833,x26834,x26832,x26835)+~E(x26831,x26832)+~P14(x26833,x26834,x26831,x26835) % 183.16/183.20 [2684]P14(x26843,x26844,x26845,x26842)+~E(x26841,x26842)+~P14(x26843,x26844,x26845,x26841) % 183.16/183.20 [2685]~P70(x26851)+P70(x26852)+~E(x26851,x26852) % 183.16/183.20 [2686]P31(x26862,x26863,x26864)+~E(x26861,x26862)+~P31(x26861,x26863,x26864) % 183.16/183.20 [2687]P31(x26873,x26872,x26874)+~E(x26871,x26872)+~P31(x26873,x26871,x26874) % 183.16/183.20 [2688]P31(x26883,x26884,x26882)+~E(x26881,x26882)+~P31(x26883,x26884,x26881) % 183.16/183.20 [2689]~P38(x26891)+P38(x26892)+~E(x26891,x26892) % 183.16/183.20 [2690]~P109(x26901)+P109(x26902)+~E(x26901,x26902) % 183.16/183.20 [2691]P52(x26912,x26913)+~E(x26911,x26912)+~P52(x26911,x26913) % 183.16/183.20 [2692]P52(x26923,x26922)+~E(x26921,x26922)+~P52(x26923,x26921) % 183.16/183.20 [2693]~P55(x26931)+P55(x26932)+~E(x26931,x26932) % 183.16/183.20 [2694]~P122(x26941)+P122(x26942)+~E(x26941,x26942) % 183.16/183.20 [2695]~P82(x26951)+P82(x26952)+~E(x26951,x26952) % 183.16/183.20 [2696]~P135(x26961)+P135(x26962)+~E(x26961,x26962) % 183.16/183.20 [2697]~P141(x26971)+P141(x26972)+~E(x26971,x26972) % 183.16/183.20 [2698]~P83(x26981)+P83(x26982)+~E(x26981,x26982) % 183.16/183.20 [2699]~P110(x26991)+P110(x26992)+~E(x26991,x26992) % 183.16/183.20 [2700]P13(x27002,x27003,x27004)+~E(x27001,x27002)+~P13(x27001,x27003,x27004) % 183.16/183.20 [2701]P13(x27013,x27012,x27014)+~E(x27011,x27012)+~P13(x27013,x27011,x27014) % 183.16/183.20 [2702]P13(x27023,x27024,x27022)+~E(x27021,x27022)+~P13(x27023,x27024,x27021) % 183.16/183.20 [2703]P34(x27032,x27033,x27034,x27035,x27036)+~E(x27031,x27032)+~P34(x27031,x27033,x27034,x27035,x27036) % 183.16/183.20 [2704]P34(x27043,x27042,x27044,x27045,x27046)+~E(x27041,x27042)+~P34(x27043,x27041,x27044,x27045,x27046) % 183.16/183.20 [2705]P34(x27053,x27054,x27052,x27055,x27056)+~E(x27051,x27052)+~P34(x27053,x27054,x27051,x27055,x27056) % 183.16/183.20 [2706]P34(x27063,x27064,x27065,x27062,x27066)+~E(x27061,x27062)+~P34(x27063,x27064,x27065,x27061,x27066) % 183.16/183.20 [2707]P34(x27073,x27074,x27075,x27076,x27072)+~E(x27071,x27072)+~P34(x27073,x27074,x27075,x27076,x27071) % 183.16/183.20 [2708]~P73(x27081)+P73(x27082)+~E(x27081,x27082) % 183.16/183.20 [2709]~P77(x27091)+P77(x27092)+~E(x27091,x27092) % 183.16/183.20 [2710]~P27(x27101)+P27(x27102)+~E(x27101,x27102) % 183.16/183.20 [2711]~P76(x27111)+P76(x27112)+~E(x27111,x27112) % 183.16/183.20 [2712]~P88(x27121)+P88(x27122)+~E(x27121,x27122) % 183.16/183.20 [2713]P11(x27132,x27133,x27134)+~E(x27131,x27132)+~P11(x27131,x27133,x27134) % 183.16/183.20 [2714]P11(x27143,x27142,x27144)+~E(x27141,x27142)+~P11(x27143,x27141,x27144) % 183.16/183.20 [2715]P11(x27153,x27154,x27152)+~E(x27151,x27152)+~P11(x27153,x27154,x27151) % 183.16/183.20 [2716]~P92(x27161)+P92(x27162)+~E(x27161,x27162) % 183.16/183.20 [2717]~P74(x27171)+P74(x27172)+~E(x27171,x27172) % 183.16/183.20 [2718]~P93(x27181)+P93(x27182)+~E(x27181,x27182) % 183.16/183.20 [2719]~P105(x27191)+P105(x27192)+~E(x27191,x27192) % 183.16/183.20 [2720]P3(x27202,x27203,x27204)+~E(x27201,x27202)+~P3(x27201,x27203,x27204) % 183.16/183.20 [2721]P3(x27213,x27212,x27214)+~E(x27211,x27212)+~P3(x27213,x27211,x27214) % 183.16/183.20 [2722]P3(x27223,x27224,x27222)+~E(x27221,x27222)+~P3(x27223,x27224,x27221) % 183.16/183.20 [2723]P9(x27232,x27233,x27234,x27235,x27236,x27237)+~E(x27231,x27232)+~P9(x27231,x27233,x27234,x27235,x27236,x27237) % 183.16/183.20 [2724]P9(x27243,x27242,x27244,x27245,x27246,x27247)+~E(x27241,x27242)+~P9(x27243,x27241,x27244,x27245,x27246,x27247) % 183.16/183.20 [2725]P9(x27253,x27254,x27252,x27255,x27256,x27257)+~E(x27251,x27252)+~P9(x27253,x27254,x27251,x27255,x27256,x27257) % 183.16/183.20 [2726]P9(x27263,x27264,x27265,x27262,x27266,x27267)+~E(x27261,x27262)+~P9(x27263,x27264,x27265,x27261,x27266,x27267) % 183.16/183.20 [2727]P9(x27273,x27274,x27275,x27276,x27272,x27277)+~E(x27271,x27272)+~P9(x27273,x27274,x27275,x27276,x27271,x27277) % 183.16/183.20 [2728]P9(x27283,x27284,x27285,x27286,x27287,x27282)+~E(x27281,x27282)+~P9(x27283,x27284,x27285,x27286,x27287,x27281) % 183.16/183.20 [2729]~P116(x27291)+P116(x27292)+~E(x27291,x27292) % 183.16/183.20 [2730]~P81(x27301)+P81(x27302)+~E(x27301,x27302) % 183.16/183.20 [2731]P21(x27312,x27313)+~E(x27311,x27312)+~P21(x27311,x27313) % 183.16/183.20 [2732]P21(x27323,x27322)+~E(x27321,x27322)+~P21(x27323,x27321) % 183.16/183.20 [2733]P19(x27332,x27333,x27334)+~E(x27331,x27332)+~P19(x27331,x27333,x27334) % 183.16/183.20 [2734]P19(x27343,x27342,x27344)+~E(x27341,x27342)+~P19(x27343,x27341,x27344) % 183.16/183.20 [2735]P19(x27353,x27354,x27352)+~E(x27351,x27352)+~P19(x27353,x27354,x27351) % 183.16/183.20 [2736]P35(x27362,x27363,x27364)+~E(x27361,x27362)+~P35(x27361,x27363,x27364) % 183.16/183.20 [2737]P35(x27373,x27372,x27374)+~E(x27371,x27372)+~P35(x27373,x27371,x27374) % 183.16/183.20 [2738]P35(x27383,x27384,x27382)+~E(x27381,x27382)+~P35(x27383,x27384,x27381) % 183.16/183.20 [2739]~P57(x27391)+P57(x27392)+~E(x27391,x27392) % 183.16/183.20 [2740]~P78(x27401)+P78(x27402)+~E(x27401,x27402) % 183.16/183.20 [2741]~P94(x27411)+P94(x27412)+~E(x27411,x27412) % 183.16/183.20 [2742]P39(x27422,x27423,x27424)+~E(x27421,x27422)+~P39(x27421,x27423,x27424) % 183.16/183.20 [2743]P39(x27433,x27432,x27434)+~E(x27431,x27432)+~P39(x27433,x27431,x27434) % 183.16/183.20 [2744]P39(x27443,x27444,x27442)+~E(x27441,x27442)+~P39(x27443,x27444,x27441) % 183.16/183.20 [2745]P30(x27452,x27453)+~E(x27451,x27452)+~P30(x27451,x27453) % 183.16/183.20 [2746]P30(x27463,x27462)+~E(x27461,x27462)+~P30(x27463,x27461) % 183.16/183.20 [2747]P49(x27472,x27473,x27474)+~E(x27471,x27472)+~P49(x27471,x27473,x27474) % 183.16/183.20 [2748]P49(x27483,x27482,x27484)+~E(x27481,x27482)+~P49(x27483,x27481,x27484) % 183.16/183.20 [2749]P49(x27493,x27494,x27492)+~E(x27491,x27492)+~P49(x27493,x27494,x27491) % 183.16/183.20 [2750]P50(x27502,x27503,x27504)+~E(x27501,x27502)+~P50(x27501,x27503,x27504) % 183.16/183.20 [2751]P50(x27513,x27512,x27514)+~E(x27511,x27512)+~P50(x27513,x27511,x27514) % 183.16/183.20 [2752]P50(x27523,x27524,x27522)+~E(x27521,x27522)+~P50(x27523,x27524,x27521) % 183.16/183.20 [2753]~P121(x27531)+P121(x27532)+~E(x27531,x27532) % 183.16/183.20 [2754]~P79(x27541)+P79(x27542)+~E(x27541,x27542) % 183.16/183.20 [2755]~P58(x27551)+P58(x27552)+~E(x27551,x27552) % 183.16/183.20 [2756]~P44(x27561)+P44(x27562)+~E(x27561,x27562) % 183.16/183.20 [2757]~P80(x27571)+P80(x27572)+~E(x27571,x27572) % 183.16/183.20 [2758]~P85(x27581)+P85(x27582)+~E(x27581,x27582) % 183.16/183.20 [2759]P6(x27592,x27593,x27594)+~E(x27591,x27592)+~P6(x27591,x27593,x27594) % 183.16/183.20 [2760]P6(x27603,x27602,x27604)+~E(x27601,x27602)+~P6(x27603,x27601,x27604) % 183.16/183.20 [2761]P6(x27613,x27614,x27612)+~E(x27611,x27612)+~P6(x27613,x27614,x27611) % 183.16/183.20 [2762]~P56(x27621)+P56(x27622)+~E(x27621,x27622) % 183.16/183.20 [2763]P29(x27632,x27633,x27634)+~E(x27631,x27632)+~P29(x27631,x27633,x27634) % 183.16/183.20 [2764]P29(x27643,x27642,x27644)+~E(x27641,x27642)+~P29(x27643,x27641,x27644) % 183.16/183.20 [2765]P29(x27653,x27654,x27652)+~E(x27651,x27652)+~P29(x27653,x27654,x27651) % 183.16/183.20 [2766]~P117(x27661)+P117(x27662)+~E(x27661,x27662) % 183.16/183.20 [2767]~P133(x27671)+P133(x27672)+~E(x27671,x27672) % 183.16/183.20 [2768]P54(x27682,x27683)+~E(x27681,x27682)+~P54(x27681,x27683) % 183.16/183.20 [2769]P54(x27693,x27692)+~E(x27691,x27692)+~P54(x27693,x27691) % 183.16/183.20 [2770]~P123(x27701)+P123(x27702)+~E(x27701,x27702) % 183.16/183.20 [2771]~P129(x27711)+P129(x27712)+~E(x27711,x27712) % 183.16/183.20 [2772]P8(x27722,x27723,x27724,x27725)+~E(x27721,x27722)+~P8(x27721,x27723,x27724,x27725) % 183.16/183.20 [2773]P8(x27733,x27732,x27734,x27735)+~E(x27731,x27732)+~P8(x27733,x27731,x27734,x27735) % 183.16/183.20 [2774]P8(x27743,x27744,x27742,x27745)+~E(x27741,x27742)+~P8(x27743,x27744,x27741,x27745) % 183.16/183.20 [2775]P8(x27753,x27754,x27755,x27752)+~E(x27751,x27752)+~P8(x27753,x27754,x27755,x27751) % 183.16/183.20 [2776]~P111(x27761)+P111(x27762)+~E(x27761,x27762) % 183.16/183.20 [2777]P16(x27772,x27773,x27774,x27775,x27776)+~E(x27771,x27772)+~P16(x27771,x27773,x27774,x27775,x27776) % 183.16/183.20 [2778]P16(x27783,x27782,x27784,x27785,x27786)+~E(x27781,x27782)+~P16(x27783,x27781,x27784,x27785,x27786) % 183.16/183.20 [2779]P16(x27793,x27794,x27792,x27795,x27796)+~E(x27791,x27792)+~P16(x27793,x27794,x27791,x27795,x27796) % 183.16/183.20 [2780]P16(x27803,x27804,x27805,x27802,x27806)+~E(x27801,x27802)+~P16(x27803,x27804,x27805,x27801,x27806) % 183.16/183.20 [2781]P16(x27813,x27814,x27815,x27816,x27812)+~E(x27811,x27812)+~P16(x27813,x27814,x27815,x27816,x27811) % 183.16/183.20 [2782]P5(x27822,x27823,x27824,x27825,x27826)+~E(x27821,x27822)+~P5(x27821,x27823,x27824,x27825,x27826) % 183.16/183.20 [2783]P5(x27833,x27832,x27834,x27835,x27836)+~E(x27831,x27832)+~P5(x27833,x27831,x27834,x27835,x27836) % 183.16/183.20 [2784]P5(x27843,x27844,x27842,x27845,x27846)+~E(x27841,x27842)+~P5(x27843,x27844,x27841,x27845,x27846) % 183.16/183.20 [2785]P5(x27853,x27854,x27855,x27852,x27856)+~E(x27851,x27852)+~P5(x27853,x27854,x27855,x27851,x27856) % 183.16/183.20 [2786]P5(x27863,x27864,x27865,x27866,x27862)+~E(x27861,x27862)+~P5(x27863,x27864,x27865,x27866,x27861) % 183.16/183.20 [2787]~P84(x27871)+P84(x27872)+~E(x27871,x27872) % 183.16/183.20 [2788]P32(x27882,x27883,x27884,x27885)+~E(x27881,x27882)+~P32(x27881,x27883,x27884,x27885) % 183.16/183.20 [2789]P32(x27893,x27892,x27894,x27895)+~E(x27891,x27892)+~P32(x27893,x27891,x27894,x27895) % 183.16/183.20 [2790]P32(x27903,x27904,x27902,x27905)+~E(x27901,x27902)+~P32(x27903,x27904,x27901,x27905) % 183.16/183.20 [2791]P32(x27913,x27914,x27915,x27912)+~E(x27911,x27912)+~P32(x27913,x27914,x27915,x27911) % 183.16/183.20 [2792]P7(x27922,x27923,x27924)+~E(x27921,x27922)+~P7(x27921,x27923,x27924) % 183.16/183.20 [2793]P7(x27933,x27932,x27934)+~E(x27931,x27932)+~P7(x27933,x27931,x27934) % 183.16/183.20 [2794]P7(x27943,x27944,x27942)+~E(x27941,x27942)+~P7(x27943,x27944,x27941) % 183.16/183.20 [2795]~P124(x27951)+P124(x27952)+~E(x27951,x27952) % 183.16/183.20 [2796]~P137(x27961)+P137(x27962)+~E(x27961,x27962) % 183.16/183.20 [2797]P42(x27972,x27973,x27974,x27975,x27976,x27977)+~E(x27971,x27972)+~P42(x27971,x27973,x27974,x27975,x27976,x27977) % 183.16/183.20 [2798]P42(x27983,x27982,x27984,x27985,x27986,x27987)+~E(x27981,x27982)+~P42(x27983,x27981,x27984,x27985,x27986,x27987) % 183.16/183.20 [2799]P42(x27993,x27994,x27992,x27995,x27996,x27997)+~E(x27991,x27992)+~P42(x27993,x27994,x27991,x27995,x27996,x27997) % 183.16/183.20 [2800]P42(x28003,x28004,x28005,x28002,x28006,x28007)+~E(x28001,x28002)+~P42(x28003,x28004,x28005,x28001,x28006,x28007) % 183.16/183.20 [2801]P42(x28013,x28014,x28015,x28016,x28012,x28017)+~E(x28011,x28012)+~P42(x28013,x28014,x28015,x28016,x28011,x28017) % 183.16/183.20 [2802]P42(x28023,x28024,x28025,x28026,x28027,x28022)+~E(x28021,x28022)+~P42(x28023,x28024,x28025,x28026,x28027,x28021) % 183.16/183.20 [2803]~P71(x28031)+P71(x28032)+~E(x28031,x28032) % 183.16/183.20 [2804]P51(x28042,x28043,x28044,x28045,x28046)+~E(x28041,x28042)+~P51(x28041,x28043,x28044,x28045,x28046) % 183.16/183.20 [2805]P51(x28053,x28052,x28054,x28055,x28056)+~E(x28051,x28052)+~P51(x28053,x28051,x28054,x28055,x28056) % 183.16/183.20 [2806]P51(x28063,x28064,x28062,x28065,x28066)+~E(x28061,x28062)+~P51(x28063,x28064,x28061,x28065,x28066) % 183.16/183.20 [2807]P51(x28073,x28074,x28075,x28072,x28076)+~E(x28071,x28072)+~P51(x28073,x28074,x28075,x28071,x28076) % 183.16/183.20 [2808]P51(x28083,x28084,x28085,x28086,x28082)+~E(x28081,x28082)+~P51(x28083,x28084,x28085,x28086,x28081) % 183.16/183.20 [2809]P18(x28092,x28093,x28094,x28095,x28096,x28097)+~E(x28091,x28092)+~P18(x28091,x28093,x28094,x28095,x28096,x28097) % 183.16/183.20 [2810]P18(x28103,x28102,x28104,x28105,x28106,x28107)+~E(x28101,x28102)+~P18(x28103,x28101,x28104,x28105,x28106,x28107) % 183.16/183.20 [2811]P18(x28113,x28114,x28112,x28115,x28116,x28117)+~E(x28111,x28112)+~P18(x28113,x28114,x28111,x28115,x28116,x28117) % 183.16/183.20 [2812]P18(x28123,x28124,x28125,x28122,x28126,x28127)+~E(x28121,x28122)+~P18(x28123,x28124,x28125,x28121,x28126,x28127) % 183.16/183.20 [2813]P18(x28133,x28134,x28135,x28136,x28132,x28137)+~E(x28131,x28132)+~P18(x28133,x28134,x28135,x28136,x28131,x28137) % 183.16/183.20 [2814]P18(x28143,x28144,x28145,x28146,x28147,x28142)+~E(x28141,x28142)+~P18(x28143,x28144,x28145,x28146,x28147,x28141) % 183.16/183.20 [2815]~P140(x28151)+P140(x28152)+~E(x28151,x28152) % 183.16/183.20 [2816]~P86(x28161)+P86(x28162)+~E(x28161,x28162) % 183.16/183.20 [2817]P10(x28172,x28173,x28174)+~E(x28171,x28172)+~P10(x28171,x28173,x28174) % 183.16/183.20 [2818]P10(x28183,x28182,x28184)+~E(x28181,x28182)+~P10(x28183,x28181,x28184) % 183.16/183.20 [2819]P10(x28193,x28194,x28192)+~E(x28191,x28192)+~P10(x28193,x28194,x28191) % 183.16/183.20 [2820]P2(x28202,x28203)+~E(x28201,x28202)+~P2(x28201,x28203) % 183.16/183.20 [2821]P2(x28213,x28212)+~E(x28211,x28212)+~P2(x28213,x28211) % 183.16/183.20 [2822]P17(x28222,x28223,x28224,x28225,x28226,x28227)+~E(x28221,x28222)+~P17(x28221,x28223,x28224,x28225,x28226,x28227) % 183.16/183.20 [2823]P17(x28233,x28232,x28234,x28235,x28236,x28237)+~E(x28231,x28232)+~P17(x28233,x28231,x28234,x28235,x28236,x28237) % 183.16/183.20 [2824]P17(x28243,x28244,x28242,x28245,x28246,x28247)+~E(x28241,x28242)+~P17(x28243,x28244,x28241,x28245,x28246,x28247) % 183.16/183.20 [2825]P17(x28253,x28254,x28255,x28252,x28256,x28257)+~E(x28251,x28252)+~P17(x28253,x28254,x28255,x28251,x28256,x28257) % 183.16/183.20 [2826]P17(x28263,x28264,x28265,x28266,x28262,x28267)+~E(x28261,x28262)+~P17(x28263,x28264,x28265,x28266,x28261,x28267) % 183.16/183.20 [2827]P17(x28273,x28274,x28275,x28276,x28277,x28272)+~E(x28271,x28272)+~P17(x28273,x28274,x28275,x28276,x28277,x28271) % 183.16/183.20 [2828]P43(x28282,x28283)+~E(x28281,x28282)+~P43(x28281,x28283) % 183.16/183.20 [2829]P43(x28293,x28292)+~E(x28291,x28292)+~P43(x28293,x28291) % 183.16/183.20 [2830]~P132(x28301)+P132(x28302)+~E(x28301,x28302) % 183.16/183.20 [2831]~P136(x28311)+P136(x28312)+~E(x28311,x28312) % 183.16/183.20 [2832]P41(x28322,x28323)+~E(x28321,x28322)+~P41(x28321,x28323) % 183.16/183.20 [2833]P41(x28333,x28332)+~E(x28331,x28332)+~P41(x28333,x28331) % 183.16/183.20 [2834]~P87(x28341)+P87(x28342)+~E(x28341,x28342) % 183.16/183.20 [2835]P12(x28352,x28353,x28354)+~E(x28351,x28352)+~P12(x28351,x28353,x28354) % 183.16/183.20 [2836]P12(x28363,x28362,x28364)+~E(x28361,x28362)+~P12(x28363,x28361,x28364) % 183.16/183.20 [2837]P12(x28373,x28374,x28372)+~E(x28371,x28372)+~P12(x28373,x28374,x28371) % 183.16/183.20 [2838]~P100(x28381)+P100(x28382)+~E(x28381,x28382) % 183.16/183.20 [2839]~P142(x28391)+P142(x28392)+~E(x28391,x28392) % 183.16/183.20 [2840]~P95(x28401)+P95(x28402)+~E(x28401,x28402) % 183.16/183.20 [2841]~P130(x28411)+P130(x28412)+~E(x28411,x28412) % 183.16/183.20 [2842]~P102(x28421)+P102(x28422)+~E(x28421,x28422) % 183.16/183.20 [2843]~P101(x28431)+P101(x28432)+~E(x28431,x28432) % 183.16/183.20 [2844]P15(x28442,x28443,x28444,x28445)+~E(x28441,x28442)+~P15(x28441,x28443,x28444,x28445) % 183.16/183.20 [2845]P15(x28453,x28452,x28454,x28455)+~E(x28451,x28452)+~P15(x28453,x28451,x28454,x28455) % 183.16/183.20 [2846]P15(x28463,x28464,x28462,x28465)+~E(x28461,x28462)+~P15(x28463,x28464,x28461,x28465) % 183.16/183.20 [2847]P15(x28473,x28474,x28475,x28472)+~E(x28471,x28472)+~P15(x28473,x28474,x28475,x28471) % 183.16/183.20 [2848]~P112(x28481)+P112(x28482)+~E(x28481,x28482) % 183.16/183.20 [2849]~P36(x28491)+P36(x28492)+~E(x28491,x28492) % 183.16/183.20 [2850]~P131(x28501)+P131(x28502)+~E(x28501,x28502) % 183.16/183.20 [2851]~P119(x28511)+P119(x28512)+~E(x28511,x28512) % 183.16/183.20 [2852]~P115(x28521)+P115(x28522)+~E(x28521,x28522) % 183.16/183.20 [2853]P47(x28532,x28533,x28534)+~E(x28531,x28532)+~P47(x28531,x28533,x28534) % 183.16/183.20 [2854]P47(x28543,x28542,x28544)+~E(x28541,x28542)+~P47(x28543,x28541,x28544) % 183.16/183.20 [2855]P47(x28553,x28554,x28552)+~E(x28551,x28552)+~P47(x28553,x28554,x28551) % 183.16/183.20 [2856]~P118(x28561)+P118(x28562)+~E(x28561,x28562) % 183.16/183.20 [2857]P4(x28572,x28573,x28574)+~E(x28571,x28572)+~P4(x28571,x28573,x28574) % 183.16/183.20 [2858]P4(x28583,x28582,x28584)+~E(x28581,x28582)+~P4(x28583,x28581,x28584) % 183.16/183.20 [2859]P4(x28593,x28594,x28592)+~E(x28591,x28592)+~P4(x28593,x28594,x28591) % 183.16/183.20 [2860]P48(x28602,x28603)+~E(x28601,x28602)+~P48(x28601,x28603) % 183.16/183.20 [2861]P48(x28613,x28612)+~E(x28611,x28612)+~P48(x28613,x28611) % 183.16/183.20 [2862]~P75(x28621)+P75(x28622)+~E(x28621,x28622) % 183.16/183.20 [2863]~P113(x28631)+P113(x28632)+~E(x28631,x28632) % 183.16/183.20 [2864]~P126(x28641)+P126(x28642)+~E(x28641,x28642) % 183.16/183.20 [2865]P46(x28652,x28653,x28654)+~E(x28651,x28652)+~P46(x28651,x28653,x28654) % 183.16/183.20 [2866]P46(x28663,x28662,x28664)+~E(x28661,x28662)+~P46(x28663,x28661,x28664) % 183.16/183.20 [2867]P46(x28673,x28674,x28672)+~E(x28671,x28672)+~P46(x28673,x28674,x28671) % 183.16/183.20 [2868]P45(x28682,x28683)+~E(x28681,x28682)+~P45(x28681,x28683) % 183.16/183.20 [2869]P45(x28693,x28692)+~E(x28691,x28692)+~P45(x28693,x28691) % 183.16/183.20 [2870]~P127(x28701)+P127(x28702)+~E(x28701,x28702) % 183.16/183.20 [2871]~P128(x28711)+P128(x28712)+~E(x28711,x28712) % 183.16/183.20 [2872]P40(x28722,x28723,x28724,x28725)+~E(x28721,x28722)+~P40(x28721,x28723,x28724,x28725) % 183.16/183.20 [2873]P40(x28733,x28732,x28734,x28735)+~E(x28731,x28732)+~P40(x28733,x28731,x28734,x28735) % 183.16/183.20 [2874]P40(x28743,x28744,x28742,x28745)+~E(x28741,x28742)+~P40(x28743,x28744,x28741,x28745) % 183.16/183.20 [2875]P40(x28753,x28754,x28755,x28752)+~E(x28751,x28752)+~P40(x28753,x28754,x28755,x28751) % 183.16/183.20 % 183.16/183.20 %------------------------------------------- % 183.28/183.25 cnf(10212,plain, % 183.28/183.25 (~E(f333(a115,x102121),x102121)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10215,plain, % 183.28/183.25 (E(f333(f264(x102151,x102151),f265(x102151,x102152)),x102152)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10222,plain, % 183.28/183.25 (~E(f333(a115,x102221),x102221)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10235,plain, % 183.28/183.25 (~E(f333(a115,x102351),x102351)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10240,plain, % 183.28/183.25 (~P23(f333(f62(x102401,x102402,f196(f882(x102401,a870))),x102403))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10243,plain, % 183.28/183.25 (~P23(f333(f62(x102431,x102432,f196(f882(x102431,a870))),x102433))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10246,plain, % 183.28/183.25 (~E(f333(a115,x102461),x102461)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10249,plain, % 183.28/183.25 (~E(f333(a115,x102491),x102491)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10252,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x102521),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10255,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x102551),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10268,plain, % 183.28/183.25 (~P23(f333(f196(f882(x102681,a870)),x102682))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,3076,3244,3119,3180,3126,3270,4544,10252,4541,4499,4547,3261,4534,4564,10240,4568,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040])). % 183.28/183.25 cnf(10272,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x102721)),x102721))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(10275,plain, % 183.28/183.25 (~E(f333(f333(f152(x102751),x102752),x102753),x102753)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(10281,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x102811),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10283,plain, % 183.28/183.25 (E(f44(a875,f333(f264(x102831,x102831),f265(x102831,f333(f333(f80(a875),x102832),x102833))),x102832),f2(a875))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,3076,3244,10215,3119,3180,3145,3126,4504,3270,4544,10252,10255,4541,4499,4549,4547,3261,4534,4564,10240,4568,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066])). % 183.28/183.25 cnf(10284,plain, % 183.28/183.25 (E(f333(f264(x102841,x102841),f265(x102841,x102842)),x102842)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10287,plain, % 183.28/183.25 (E(f333(f264(x102871,x102871),f265(x102871,x102872)),x102872)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10294,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x102941),x102942)),x102942))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(10297,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x102971),x102972)),x102972))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(10318,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x103181),x103181))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10321,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f44(a875,x103211,x103212)),x103211))), % 183.28/183.25 inference(rename_variables,[],[3754])). % 183.28/183.25 cnf(10344,plain, % 183.28/183.25 (E(f333(f37(a875),f333(f254(a875),x103441)),x103441)), % 183.28/183.25 inference(rename_variables,[],[3175])). % 183.28/183.25 cnf(10352,plain, % 183.28/183.25 (~E(f333(a115,x103521),x103521)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10355,plain, % 183.28/183.25 (~E(f333(a115,x103551),x103551)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10358,plain, % 183.28/183.25 (~E(f333(a115,x103581),x103581)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10360,plain, % 183.28/183.25 (P23(f333(a201,a100))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,3076,3244,10215,10284,3119,3180,3145,3126,3214,4504,3175,4574,3196,3357,3270,4544,10252,10255,3888,3291,4541,4499,4540,10318,3383,3818,3754,4549,10272,4130,4547,4530,3261,4534,4535,4564,10240,4568,4566,10294,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317])). % 183.28/183.25 cnf(10363,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x103631),f333(a115,x103631)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10372,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x103721),x103721))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(10379,plain, % 183.28/183.25 (E(f333(f264(x103791,x103791),f265(x103791,x103792)),x103792)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10382,plain, % 183.28/183.25 (E(f333(f264(x103821,x103821),f265(x103821,x103822)),x103822)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10401,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x104011),x104011))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(10410,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x104101),x104101))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10415,plain, % 183.28/183.25 (~E(f333(f333(f333(f71(x104151,f879(x104152)),x104153),x104154),f333(f240(x104152),x104155)),f333(f16(f879(x104152),x104151),f209(x104152)))), % 183.28/183.25 inference(rename_variables,[],[4561])). % 183.28/183.25 cnf(10442,plain, % 183.28/183.25 (~E(f333(f333(f152(x104421),x104422),x104423),x104423)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(10445,plain, % 183.28/183.25 (~E(f333(a25,x104451),f32(x104452,x104453))), % 183.28/183.25 inference(rename_variables,[],[4494])). % 183.28/183.25 cnf(10456,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x104561),x104561))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(10461,plain, % 183.28/183.25 (~E(f333(a115,x104611),x104611)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10468,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x104681),x104681))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(10481,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x104811),f333(a115,x104811)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10502,plain, % 183.28/183.25 (~P23(f333(f62(x105021,x105022,f196(f882(x105021,a870))),x105023))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10521,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x105211),x105211))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10533,plain, % 183.28/183.25 (E(f333(f333(f258(a875),f333(f106(a875),a100)),x105331),f333(f333(f258(a875),f2(a875)),x105331))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,4494,3076,3244,10215,10284,10287,10379,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,4086,4574,3196,3659,3357,10363,10481,3270,4544,10252,10255,10281,4556,3736,3888,3316,3317,3291,4541,4499,4038,3287,10372,3288,3289,10401,3290,4540,10318,10410,3383,3818,3754,10321,4549,10272,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,4568,3778,4566,10294,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822])). % 183.28/183.25 cnf(10536,plain, % 183.28/183.25 (~E(f333(a25,x105361),f32(x105362,x105363))), % 183.28/183.25 inference(rename_variables,[],[4494])). % 183.28/183.25 cnf(10545,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x105451),x105451))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10550,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x105501),f333(a115,x105501)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10553,plain, % 183.28/183.25 (~P23(f333(f62(x105531,x105532,f196(f882(x105531,a870))),x105533))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10556,plain, % 183.28/183.25 (~P23(f333(f62(x105561,x105562,f196(f882(x105561,a870))),x105563))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10561,plain, % 183.28/183.25 (~P23(f333(f62(x105611,x105612,f196(f882(x105611,a870))),x105613))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10571,plain, % 183.28/183.25 (~E(f333(f170(x105711),f333(a115,f333(f333(f135(x105711),f333(f170(x105711),x105712)),f333(f333(f152(x105711),x105713),f116(x105711))))),f333(f333(f152(x105711),x105713),x105712))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,4086,4574,3196,3659,3357,10363,10481,10550,3270,4544,10252,10255,10281,4556,3736,3888,3316,3317,3291,4541,4499,4038,3287,10372,3288,3289,10401,3290,4540,10318,10410,10521,3383,3818,3754,10321,4549,10272,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4568,3778,4566,10294,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997])). % 183.28/183.25 cnf(10572,plain, % 183.28/183.25 (~E(f333(a115,x105721),x105721)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10586,plain, % 183.28/183.25 (P23(f333(f333(f248(a102),f333(a3,x105861)),f333(a3,f333(a115,x105861))))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,4086,4574,3196,3659,3357,10363,10481,10550,3749,3270,4544,10252,10255,10281,4556,3736,3888,3316,3317,3291,4541,4499,4038,3287,10372,3288,3289,10401,3290,4540,10318,10410,10521,3383,3818,3754,10321,4549,10272,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4568,3778,4566,10294,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077])). % 183.28/183.25 cnf(10597,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x105971),x105971))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(10600,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x106001),f333(a115,f333(f333(f79(a875),x106002),x106001))))), % 183.28/183.25 inference(rename_variables,[],[3747])). % 183.28/183.25 cnf(10602,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x106021),f333(f333(f80(a875),f333(a115,x106021)),f333(a115,x106021))))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,4086,4574,3196,3659,3357,10363,10481,10550,3749,3270,4544,10252,10255,10281,4556,3736,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,3288,3289,10401,3290,4540,10318,10410,10521,3383,3818,3754,10321,4549,10272,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,3560,4568,3778,4566,10294,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102])). % 183.28/183.25 cnf(10603,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x106031),f333(f333(f80(a875),x106031),x106031)))), % 183.28/183.25 inference(rename_variables,[],[3560])). % 183.28/183.25 cnf(10606,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x106061),f333(f333(f80(a875),x106061),x106061)))), % 183.28/183.25 inference(rename_variables,[],[3560])). % 183.28/183.25 cnf(10611,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x106111),f333(a115,x106111)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10614,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x106141),f333(a115,x106141)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10617,plain, % 183.28/183.25 (P23(f333(f333(f335(x106171),x106172),f256(f882(x106171,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(10636,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x106361),x106362)),x106362))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(10639,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x106391),x106392)),x106392))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(10642,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x106421)),x106421))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(10645,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x106451)),x106451))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(10648,plain, % 183.28/183.25 (P23(f333(f256(f882(x106481,a870)),x106482))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(10651,plain, % 183.28/183.25 (E(f333(f37(a875),f333(f254(a875),x106511)),x106511)), % 183.28/183.25 inference(rename_variables,[],[3175])). % 183.28/183.25 cnf(10654,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x106541),f333(a115,x106541)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10661,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x106611),x106611))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(10666,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x106661),x106661))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(10675,plain, % 183.28/183.25 (E(f333(f264(x106751,x106751),f265(x106751,x106752)),x106752)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(10678,plain, % 183.28/183.25 (P23(f333(f256(f882(x106781,a870)),x106782))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(10681,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x106811))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(10684,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x106841,a870)),f196(f882(x106841,a870))),x106842))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(10687,plain, % 183.28/183.25 (P23(f333(f256(f882(x106871,a870)),x106872))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(10689,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(f333(f80(a875),f333(a115,x106891)),f333(a115,x106891))),x106891))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,3749,3270,4544,10252,10255,10281,4556,3736,3502,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,10597,3288,3289,10401,10456,3290,4540,10318,10410,10521,3447,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,3310,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309])). % 183.28/183.25 cnf(10690,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x106901),f333(f333(f80(a875),x106901),x106901)))), % 183.28/183.25 inference(rename_variables,[],[3560])). % 183.28/183.25 cnf(10694,plain, % 183.28/183.25 (E(f333(f170(x106941),f175(x106942,f333(f333(f135(x106941),f333(f170(x106941),x106943)),f333(f333(f152(x106941),x106944),f116(x106941))),f116(x106942))),f333(f333(f152(x106941),x106944),x106943))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,3749,3270,4544,10252,10255,10281,4556,3736,3502,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,10597,3288,3289,10401,10456,3290,4540,10318,10410,10521,3447,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,3310,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348])). % 183.28/183.25 cnf(10701,plain, % 183.28/183.25 (~P23(f333(f333(f248(a102),f333(a3,x107011)),f333(a3,f2(a875))))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,10654,3749,3270,4544,10252,10255,10281,4556,3736,3502,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,10597,3288,3289,10401,10456,3290,4540,10318,10410,10521,3447,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,3310,4130,4547,4530,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354])). % 183.28/183.25 cnf(10707,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,f333(a115,f333(f333(f79(a875),x107071),x107072)))),f333(a115,x107072)))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,10654,3749,3270,4544,10252,10255,10281,4556,3736,3502,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,10597,3288,3289,10401,10456,3290,4540,10318,10410,10521,3447,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,3310,4130,4547,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357])). % 183.28/183.25 cnf(10730,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x107301),x107301))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10741,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x107411,f882(x107412,a870))),x107413),x107414))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(10748,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x107481),f333(a115,x107481)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10750,plain, % 183.28/183.25 (P23(f333(f333(f248(a1),f333(f333(f22(a1),x107501),f77(a1))),x107501))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,10654,3749,3270,4544,10252,10255,10281,4556,3736,3502,3888,3316,3317,3291,4541,4499,4038,3287,10372,10468,10597,3288,10730,3289,10401,10456,10666,3290,4540,10318,10410,10521,3447,4552,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,4130,4547,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,4569,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611])). % 183.28/183.25 cnf(10751,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x107511),x107511))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(10756,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x107561),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10769,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x107691),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10772,plain, % 183.28/183.25 (~P23(f333(f333(f248(f882(x107721,a870)),x107722),f196(f882(x107721,a870))))), % 183.28/183.25 inference(rename_variables,[],[4562])). % 183.28/183.25 cnf(10775,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x107751),x107751))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10778,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x107781),x107781))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10792,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x107921),f333(f333(f22(a875),x107921),x107922)))), % 183.28/183.25 inference(scs_inference,[],[4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3659,3596,3357,10363,10481,10550,10611,10614,10654,3749,3270,4544,10252,10255,10281,10756,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,3289,10401,10456,10666,3290,4540,10318,10410,10521,10545,3447,4552,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,4130,4547,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,4568,4569,3778,4566,10294,10297,10636,3747,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774])). % 183.28/183.25 cnf(10793,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x107931),x107931))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10802,plain, % 183.28/183.25 (~P23(f333(f333(f335(x108021),x108022),f196(f882(x108021,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(10811,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x108111),x108111))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10814,plain, % 183.28/183.25 (~P23(f333(f333(f335(x108141),x108142),f196(f882(x108141,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(10817,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x108171,a870)),f333(f312(x108172,x108171,x108173),f333(f313(x108172,x108171,x108173),x108174))),x108174))), % 183.28/183.25 inference(rename_variables,[],[4190])). % 183.28/183.25 cnf(10824,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x108241,a870)),f333(f174(x108241),f333(f137(x108241,x108242),x108243))),f333(f174(x108241),x108243)))), % 183.28/183.25 inference(rename_variables,[],[3950])). % 183.28/183.25 cnf(10827,plain, % 183.28/183.25 (E(f333(f312(x108271,x108271,f5(x108271)),x108272),x108272)), % 183.28/183.25 inference(rename_variables,[],[3346])). % 183.28/183.25 cnf(10834,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x108341))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(10837,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x108371),x108371))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10840,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x108401),x108401))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10843,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x108431,f882(x108432,a870))),x108433),x108434))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(10850,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x108501),x108501))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(10861,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x108611),f333(a115,f333(f333(f79(a875),x108612),x108611))))), % 183.28/183.25 inference(rename_variables,[],[3747])). % 183.28/183.25 cnf(10864,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x108641),f333(f333(f80(a875),x108641),x108641)))), % 183.28/183.25 inference(rename_variables,[],[3560])). % 183.28/183.25 cnf(10874,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x108741),x108741))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10877,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x108771),x108771))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(10880,plain, % 183.28/183.25 (~E(f333(a115,x108801),x108801)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(10885,plain, % 183.28/183.25 (P23(f333(f333(f335(x108851),x108852),f256(f882(x108851,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(10890,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x108901),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(10892,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x108921,a870)),x108922),f39(f882(x108921,a870),f333(f310(x108921),x108922))))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,4552,10802,10814,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,4130,4547,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486])). % 183.28/183.25 cnf(10905,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x109051))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(10912,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x109121),x109121))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10921,plain, % 183.28/183.25 (~P23(f333(f333(f335(x109211),x109212),f196(f882(x109211,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(10923,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x109231,a870)),f40(f882(x109231,a870),f333(f310(x109231),x109232))),x109232))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,4552,10802,10814,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765])). % 183.28/183.25 cnf(10925,plain, % 183.28/183.25 (E(f333(f333(f104(f882(x109251,a870)),f333(f333(f104(f882(x109251,a870)),x109252),f333(f78(f882(x109251,a870)),x109253))),x109253),f196(f882(x109251,a870)))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,4552,10802,10814,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767])). % 183.28/183.25 cnf(10928,plain, % 183.28/183.25 (P23(f333(f333(f335(f876(x109281)),x109282),f162(x109281,f256(f882(x109281,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,4552,10802,10814,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777])). % 183.28/183.25 cnf(10929,plain, % 183.28/183.25 (P23(f333(f333(f335(x109291),x109292),f256(f882(x109291,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(10932,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x109321),f876(x109321))),f333(f333(f268(f876(x109321),f876(x109321)),x109322),f116(x109321))),f146(x109321,x109323)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(10938,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(x109381,x109381)),x109382),f265(x109381,f196(f882(x109381,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,4552,10802,10814,10921,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909])). % 183.28/183.25 cnf(10939,plain, % 183.28/183.25 (~P23(f333(f333(f335(x109391),x109392),f196(f882(x109391,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(10941,plain, % 183.28/183.25 (~P23(f333(f333(f335(x109411),x109412),f333(f313(x109411,x109413,x109414),f196(f882(x109413,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,4494,10445,3076,3244,10215,10284,10287,10379,10382,3221,3119,3180,3145,3126,3769,3346,3214,4561,4504,10275,3175,10344,4086,3940,4574,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,3660,4038,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,4552,10802,10814,10921,10939,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,4572,3745,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943])). % 183.28/183.25 cnf(10942,plain, % 183.28/183.25 (~P23(f333(f333(f335(x109421),x109422),f196(f882(x109421,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(10945,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x109451,a870)),x109452),f333(f333(f311(x109451),x109453),x109452)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(10948,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x109481),x109481))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(10951,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x109511,a870)),x109512),f333(f333(f311(x109511),x109513),x109512)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(10966,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x109661,a870)),x109662),f333(f333(f311(x109661),x109663),x109662)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(10971,plain, % 183.28/183.25 (~P23(f333(f62(x109711,x109712,f196(f882(x109711,a870))),x109713))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(10984,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x109841),f333(a115,x109841)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(10994,plain, % 183.28/183.25 (~E(f333(f312(x109941,f882(x109941,a870),x109942),x109943),f333(f310(x109941),x109943))), % 183.28/183.25 inference(rename_variables,[],[4550])). % 183.28/183.25 cnf(10997,plain, % 183.28/183.25 (~P23(f333(f333(f335(x109971),x109972),f196(f882(x109971,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11000,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x110001,x110001)),f333(f333(f268(x110001,x110001),x110002),x110002)),f309(x110001,x110003)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(11003,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x110031,a870)),f333(f174(x110031),f178(x110031,x110032,x110033))),f333(f174(x110031),x110032)))), % 183.28/183.25 inference(rename_variables,[],[4001])). % 183.28/183.25 cnf(11006,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x110061,a870)),x110062),f256(f882(x110061,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(11022,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x110221,a870)),f196(f882(x110221,a870))),x110222))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(11033,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x110331),f876(x110331))),f333(f333(f268(f876(x110331),f876(x110331)),x110332),f116(x110331))),f148(x110331,x110333)))), % 183.28/183.25 inference(rename_variables,[],[4575])). % 183.28/183.25 cnf(11044,plain, % 183.28/183.25 (~E(f333(a115,x110441),x110441)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11047,plain, % 183.28/183.25 (~E(f333(a115,x110471),x110471)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11049,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x110491),f876(x110491))),f333(f333(f268(f876(x110491),f876(x110491)),f116(x110491)),f116(x110491))),f333(f333(f290(f876(x110491),f876(x110491),f876(x110491)),f159(x110491,x110492)),f309(f876(x110491),f159(x110491,x110492)))))), % 183.28/183.25 inference(scs_inference,[],[4571,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,4561,3938,4504,10275,4550,3175,10344,4086,3940,11000,4574,10932,4575,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610])). % 183.28/183.25 cnf(11059,plain, % 183.28/183.25 (P20(x110591,x110591,f5(x110591),x110592)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(11064,plain, % 183.28/183.25 (~E(f333(f312(x110641,f882(x110641,a870),x110642),x110643),f333(f310(x110641),x110643))), % 183.28/183.25 inference(rename_variables,[],[4550])). % 183.28/183.25 cnf(11069,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x110691,a870)),x110692),f256(f882(x110691,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(11083,plain, % 183.28/183.25 (~P23(f333(f333(f335(x110831),x110832),f196(f882(x110831,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11086,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x110861)),x110861))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11091,plain, % 183.28/183.25 (~P23(f333(f333(f335(x110911),x110912),f196(f882(x110911,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11103,plain, % 183.28/183.25 (~P23(f333(f333(f335(a875),f333(a115,f333(f143(a875,a875,f79(a875),f2(a875)),x111031))),f333(f174(a875),x111031)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,4575,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828])). % 183.28/183.25 cnf(11104,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x111041)),x111041))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11107,plain, % 183.28/183.25 (~P23(f333(f333(f335(x111071),x111072),f196(f882(x111071,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11115,plain, % 183.28/183.25 (E(f333(f137(x111151,f256(f882(x111152,a870))),f781(x111153,x111154,f333(f333(f152(x111151),x111154),x111153),f256(f882(x111152,a870)),x111151)),x111153)), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,4575,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902])). % 183.28/183.25 cnf(11117,plain, % 183.28/183.25 (E(f333(x111171,f710(f333(x111171,x111172),f333(f240(x111173),x111172),x111171,x111174,x111173)),f333(x111171,x111172))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,4575,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,4562,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904])). % 183.28/183.25 cnf(11126,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x111261,x111261)),f333(f333(f268(x111261,x111261),x111262),x111262)),f309(x111261,x111263)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(11131,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x111311),f876(x111311))),f333(f333(f268(f876(x111311),f876(x111311)),x111312),f116(x111311))),f146(x111311,x111313)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(11134,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x111341),f876(x111341))),f333(f333(f268(f876(x111341),f876(x111341)),x111342),f116(x111341))),f148(x111341,x111343)))), % 183.28/183.25 inference(rename_variables,[],[4575])). % 183.28/183.25 cnf(11137,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x111371),f876(x111371))),f333(f333(f268(f876(x111371),f876(x111371)),x111372),f116(x111371))),f158(x111371,x111373)))), % 183.28/183.25 inference(rename_variables,[],[4576])). % 183.28/183.25 cnf(11142,plain, % 183.28/183.25 (~P23(f333(f333(f248(f882(x111421,a870)),x111422),f196(f882(x111421,a870))))), % 183.28/183.25 inference(rename_variables,[],[4562])). % 183.28/183.25 cnf(11144,plain, % 183.28/183.25 (~P23(f333(f333(f335(x111441),x111442),f333(f312(x111443,x111441,x111444),f196(f882(x111443,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,11131,4575,11033,4576,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,4562,10772,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075])). % 183.28/183.25 cnf(11145,plain, % 183.28/183.25 (~P23(f333(f333(f335(x111451),x111452),f196(f882(x111451,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11149,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x111491,a870)),x111492),f333(f333(f113(f882(x111491,a870)),x111493),f256(f882(x111491,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,11131,4575,11033,4576,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,11069,4562,10772,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3745,10684,3560,10603,10606,10690,10864,4568,4569,10741,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104])). % 183.28/183.25 cnf(11150,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x111501,a870)),x111502),f256(f882(x111501,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(11153,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x111531,f882(x111532,a870))),x111533),x111534))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(11162,plain, % 183.28/183.25 (~P23(f333(f333(f335(x111621),x111622),f196(f882(x111621,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11165,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(x111651,x111651)),f333(f333(f268(x111651,x111651),x111652),x111653)),f154(x111651,f116(f882(x111651,a875)))))), % 183.28/183.25 inference(rename_variables,[],[4572])). % 183.28/183.25 cnf(11168,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x111681,a870)),x111682),x111682))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(11171,plain, % 183.28/183.25 (~P23(f333(f333(f335(x111711),x111712),f196(f882(x111711,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11173,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x111731,a870)),f333(f287(x111732,x111731,f196(f882(f881(x111732,x111731),a870))),x111733)),x111734))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,4574,10932,11131,4575,11033,4576,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,11069,4562,10772,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3592,3745,10684,11022,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275])). % 183.28/183.25 cnf(11174,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x111741,a870)),f196(f882(x111741,a870))),x111742))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(11177,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x111771,x111771)),f333(f333(f268(x111771,x111771),x111772),x111772)),f309(x111771,x111773)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(11179,plain, % 183.28/183.25 (~P34(x111791,x111792,x111793,f333(f333(f155(x111794,x111791),x111795),f333(a115,f116(x111794))),f116(x111792))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,11126,4574,10932,11131,4575,11033,4576,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,11069,4562,10772,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3592,3745,10684,11022,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284])). % 183.28/183.25 cnf(11183,plain, % 183.28/183.25 (P34(x111831,x111832,x111833,f333(f333(f155(x111834,x111831),x111835),f117(x111834,f116(x111834))),f116(x111832))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,4550,10994,3394,3175,10344,4086,3940,11000,11126,4574,10932,11131,4575,11033,4576,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4049,3950,10824,4001,3660,4038,3678,11006,11069,4562,10772,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,3350,10648,10678,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3592,3745,10684,11022,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307])). % 183.28/183.25 cnf(11188,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x111881),f876(x111881))),f333(f333(f268(f876(x111881),f876(x111881)),x111882),f116(x111881))),f158(x111881,x111883)))), % 183.28/183.25 inference(rename_variables,[],[4576])). % 183.28/183.25 cnf(11191,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x111911),f876(x111911))),f333(f333(f268(f876(x111911),f876(x111911)),f116(x111911)),x111912)),f146(x111911,x111913)))), % 183.28/183.25 inference(rename_variables,[],[4577])). % 183.28/183.25 cnf(11199,plain, % 183.28/183.25 (P23(f333(f333(f335(x111991),x111992),f256(f882(x111991,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(11204,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x112041,a870)),f196(f882(x112041,a870))),x112042))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(11207,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112071),x112072),f196(f882(x112071,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11210,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x112101,a870)),x112102),f256(f882(x112101,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(11215,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x112151,a870)),f196(f882(x112151,a870))),x112152))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(11228,plain, % 183.28/183.25 (P23(f333(f256(f882(x112281,a870)),x112282))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(11236,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x112361),f876(x112361))),f333(f333(f268(f876(x112361),f876(x112361)),x112362),f116(x112361))),f146(x112361,x112363)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(11239,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x112391),f876(x112391))),f333(f333(f268(f876(x112391),f876(x112391)),x112392),f116(x112391))),f148(x112391,x112393)))), % 183.28/183.25 inference(rename_variables,[],[4575])). % 183.28/183.25 cnf(11242,plain, % 183.28/183.25 (~E(f333(f333(f152(x112421),x112422),x112423),x112423)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(11245,plain, % 183.28/183.25 (~E(f333(a115,x112451),x112451)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11248,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112481),x112482),f196(f882(x112481,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11253,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x112531),f876(x112531))),f333(f333(f268(f876(x112531),f876(x112531)),x112532),x112532)),f159(x112531,f309(x112531,x112533))))), % 183.28/183.25 inference(rename_variables,[],[4080])). % 183.28/183.25 cnf(11258,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x112581),f876(x112581))),f333(f333(f268(f876(x112581),f876(x112581)),x112582),f116(x112581))),f146(x112581,x112583)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(11262,plain, % 183.28/183.25 (E(f333(f333(f152(x112621),f674(f309(x112621,x112622),f333(f333(f152(x112621),x112623),x112624),x112624,x112623,x112621)),f675(f309(x112621,x112622),f333(f333(f152(x112621),x112623),x112624),x112624,x112623,x112621)),f333(f333(f152(x112621),x112623),x112624))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,10442,4550,10994,3394,3175,10344,4086,3940,11000,11126,4574,10932,11131,11236,4575,11033,11134,4576,11137,4577,11191,4578,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4080,11253,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,3350,10648,10678,10687,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,4091,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731])). % 183.28/183.25 cnf(11267,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112671),x112672),f188(x112673,x112671,f190(x112673,x112671,x112674,f196(f882(x112673,a870))))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,10442,4550,10994,3394,3175,10344,4086,3940,11000,11126,4574,10932,11131,11236,4575,11033,11134,4576,11137,4577,11191,4578,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4080,11253,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,3350,10648,10678,10687,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,3905,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,4091,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754])). % 183.28/183.25 cnf(11268,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112681),x112682),f196(f882(x112681,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11271,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112711),x112712),f196(f882(x112711,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11274,plain, % 183.28/183.25 (~P23(f333(f333(f335(x112741),x112742),f196(f882(x112741,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11277,plain, % 183.28/183.25 (P23(f333(f333(f335(x112771),x112772),f256(f882(x112771,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(11280,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x112801),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(11285,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(x112851,x112851)),f333(f333(f268(x112851,x112851),x112852),x112853)),f154(x112851,f116(f882(x112851,a875)))))), % 183.28/183.25 inference(rename_variables,[],[4572])). % 183.28/183.25 cnf(11288,plain, % 183.28/183.25 (~E(f333(f312(x112881,f882(x112881,a870),x112882),x112883),f333(f310(x112881),x112883))), % 183.28/183.25 inference(rename_variables,[],[4550])). % 183.28/183.25 cnf(11291,plain, % 183.28/183.25 (~E(f333(f312(x112911,f882(x112911,a870),x112912),x112913),f333(f310(x112911),x112913))), % 183.28/183.25 inference(rename_variables,[],[4550])). % 183.28/183.25 cnf(11296,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x112961),f876(x112961))),f333(f333(f268(f876(x112961),f876(x112961)),x112962),f116(x112961))),f146(x112961,x112963)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(11299,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x112991),f876(x112991))),f333(f333(f268(f876(x112991),f876(x112991)),x112992),f116(x112991))),f148(x112991,x112993)))), % 183.28/183.25 inference(rename_variables,[],[4575])). % 183.28/183.25 cnf(11302,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x113021),f876(x113021))),f333(f333(f268(f876(x113021),f876(x113021)),x113022),f116(x113021))),f146(x113021,x113023)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(11305,plain, % 183.28/183.25 (~P23(f333(f333(f335(x113051),x113052),f196(f882(x113051,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11309,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x113091,x113092)),f333(f333(f268(x113091,x113092),f333(x113093,x113094)),f333(x113095,x113094))),f333(f312(f881(x113096,x113096),f881(x113091,x113092),f273(x113096,x113091,x113096,x113092,x113093,x113095)),f309(x113096,x113097))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,4494,10445,10536,3076,3129,3244,10215,10284,10287,10379,10382,3221,3756,3119,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,10442,4550,10994,11064,11288,3394,3175,10344,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,4556,3736,3502,3888,3316,3317,3291,4541,4499,4080,11253,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,11199,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,3350,10648,10678,10687,3383,3818,3754,10321,4549,10272,10642,10645,11086,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4564,10240,10243,10502,10553,10556,10561,4572,11165,3905,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,4569,10741,10843,4190,4091,3778,4566,10294,10297,10636,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054])). % 183.28/183.25 cnf(11312,plain, % 183.28/183.25 (~P23(f333(f333(f335(x113121),x113122),f196(f882(x113121,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11315,plain, % 183.28/183.25 (~P23(f333(f333(f335(x113151),x113152),f196(f882(x113151,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11318,plain, % 183.28/183.25 (P23(f333(f333(f335(x113181),f333(x113182,x113183)),f333(f312(x113184,x113181,x113182),f256(f882(x113184,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(11321,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(x113211,x113211)),f333(f333(f268(x113211,x113211),x113212),x113213)),f154(x113211,f116(f882(x113211,a875)))))), % 183.28/183.25 inference(rename_variables,[],[4572])). % 183.28/183.25 cnf(11329,plain, % 183.28/183.25 (E(f117(x113291,f116(x113291)),f116(x113291))), % 183.28/183.25 inference(rename_variables,[],[3129])). % 183.28/183.25 cnf(11332,plain, % 183.28/183.25 (~E(f333(a115,x113321),x113321)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11339,plain, % 183.28/183.25 (~E(f333(a115,x113391),x113391)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11344,plain, % 183.28/183.25 (E(f333(f264(x113441,x113441),f265(x113441,x113442)),x113442)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11347,plain, % 183.28/183.25 (E(f333(f264(x113471,x113471),f265(x113471,x113472)),x113472)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11353,plain, % 183.28/183.25 (~E(f333(a115,x113531),x113531)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11360,plain, % 183.28/183.25 (~E(f333(f333(f79(a1),x113601),x113601),a100)), % 183.28/183.25 inference(rename_variables,[],[4502])). % 183.28/183.25 cnf(11369,plain, % 183.28/183.25 (E(f333(f333(f22(a875),f2(a875)),x113691),f2(a875))), % 183.28/183.25 inference(rename_variables,[],[3197])). % 183.28/183.25 cnf(11372,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x113721),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(11379,plain, % 183.28/183.25 (E(f333(f333(f79(a1),f333(f333(f80(a1),x113791),f333(f333(f38(a1),x113792),x113791))),f44(a1,x113792,x113791)),x113792)), % 183.28/183.25 inference(rename_variables,[],[3851])). % 183.28/183.25 cnf(11405,plain, % 183.28/183.25 (~E(f333(a115,x114051),x114051)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11408,plain, % 183.28/183.25 (~E(f333(a115,x114081),x114081)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11434,plain, % 183.28/183.25 (~P23(f333(f62(x114341,x114342,f196(f882(x114341,a870))),x114343))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(11437,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x114371,f882(x114372,a870))),x114373),x114374))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(11440,plain, % 183.28/183.25 (P23(f333(f333(f335(x114401),x114402),f256(f882(x114401,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(11452,plain, % 183.28/183.25 (~E(f333(a115,x114521),x114521)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11455,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x114551),x114551))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11462,plain, % 183.28/183.25 (P23(f333(f66(x114621,x114622,x114623,x114624,f196(f882(x114621,a870))),x114624))), % 183.28/183.25 inference(rename_variables,[],[4230])). % 183.28/183.25 cnf(11463,plain, % 183.28/183.25 (E(f333(f264(x114631,x114631),f265(x114631,x114632)),x114632)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11468,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x114681,f882(x114682,a870))),x114683),x114684))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(11479,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x114791),x114792)),x114792))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(11482,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),x114821)),f2(a1)))), % 183.28/183.25 inference(rename_variables,[],[4556])). % 183.28/183.25 cnf(11498,plain, % 183.28/183.25 (~E(f333(f333(f104(a875),f333(a115,x114981)),x114981),f333(a115,x114981))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,4494,10445,10536,3201,2886,2890,2893,2903,2905,2910,2920,2929,2930,2937,2948,2950,2951,2959,2960,2994,3025,3026,3028,3044,3054,3061,3076,4475,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,3221,3756,3119,3851,11379,3180,3145,3126,3769,3346,3214,3393,4561,3938,4504,10275,10442,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,11280,11372,4556,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,11199,11277,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,3350,10648,10678,10687,3383,3818,3754,10321,4549,10272,10642,10645,11086,11104,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4230,4564,10240,10243,10502,10553,10556,10561,10971,4572,11165,11285,3905,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,4558,4569,10741,10843,11153,11437,4190,4091,3778,4566,10294,10297,10636,10639,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363])). % 183.28/183.25 cnf(11505,plain, % 183.28/183.25 (E(f333(f264(x115051,x115051),f265(x115051,x115052)),x115052)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11510,plain, % 183.28/183.25 (E(f333(f264(x115101,x115101),f265(x115101,x115102)),x115102)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11513,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),x115131)),f2(a1)))), % 183.28/183.25 inference(rename_variables,[],[4556])). % 183.28/183.25 cnf(11518,plain, % 183.28/183.25 (~E(f333(a115,x115181),x115181)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11522,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),f2(a1)),a82))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,4494,10445,10536,3201,2886,2890,2893,2903,2905,2910,2920,2929,2930,2937,2948,2950,2951,2952,2959,2960,2994,3025,3026,3028,3044,3054,3061,3076,4475,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,3221,3756,3119,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,3270,4544,10252,10255,10281,10756,10769,10890,11280,11372,4556,11482,11513,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,3290,4540,10318,10410,10521,10545,10793,10840,3447,10617,10885,10929,11199,11277,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,3350,10648,10678,10687,3389,3383,3818,3754,10321,4549,10272,10642,10645,11086,11104,3310,10681,10834,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,4230,4564,10240,10243,10502,10553,10556,10561,10971,4572,11165,11285,3905,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,4558,4569,10741,10843,11153,11437,4190,4091,3778,4566,10294,10297,10636,10639,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455])). % 183.28/183.25 cnf(11527,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x115271),x115271))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11548,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),x115481)),f2(a1)))), % 183.28/183.25 inference(rename_variables,[],[4556])). % 183.28/183.25 cnf(11561,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x115611),x115611))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11564,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x115641)),x115641))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11565,plain, % 183.28/183.25 (~E(f333(a115,x115651),x115651)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11575,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x115751),x115752)),x115751))), % 183.28/183.25 inference(rename_variables,[],[4567])). % 183.28/183.25 cnf(11578,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),x115781)),f2(a1)))), % 183.28/183.25 inference(rename_variables,[],[4556])). % 183.28/183.25 cnf(11581,plain, % 183.28/183.25 (~E(f333(a115,x115811),x115811)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11594,plain, % 183.28/183.25 (P23(f333(f333(f335(x115941),x115942),f333(f333(f311(x115941),x115942),x115943)))), % 183.28/183.25 inference(rename_variables,[],[3607])). % 183.28/183.25 cnf(11595,plain, % 183.28/183.25 (~P23(f333(f333(f247(a1),f2(a1)),f333(f78(a1),f333(f103(a1),f333(a115,x115951)))))), % 183.28/183.25 inference(rename_variables,[],[4568])). % 183.28/183.25 cnf(11598,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),f333(f333(f22(a875),x115981),x115982)),f333(a115,x115981)))), % 183.28/183.25 inference(rename_variables,[],[3749])). % 183.28/183.25 cnf(11601,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f44(a875,x116011,x116012)),x116011))), % 183.28/183.25 inference(rename_variables,[],[3754])). % 183.28/183.25 cnf(11607,plain, % 183.28/183.25 (E(f333(f264(x116071,x116071),f265(x116071,x116072)),x116072)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(11612,plain, % 183.28/183.25 (E(f333(f333(f135(x116121),f171(x116121,x116122,x116123)),f171(x116121,x116124,x116123)),f333(f333(f135(x116121),f171(x116121,x116124,x116123)),f171(x116121,x116122,x116123)))), % 183.28/183.25 inference(rename_variables,[],[3866])). % 183.28/183.25 cnf(11617,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x116171)),x116171))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11626,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x116261),x116261))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11629,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f44(a875,x116291,x116292)),x116291))), % 183.28/183.25 inference(rename_variables,[],[3754])). % 183.28/183.25 cnf(11630,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x116301))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(11647,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x116471),x116471))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11650,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x116501),x116501))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11653,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x116531),x116531))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11656,plain, % 183.28/183.25 (P23(f333(f333(f335(x116561),f333(x116562,x116563)),f333(f312(x116564,x116561,x116562),f256(f882(x116564,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(11657,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x116571),x116572)),x116572))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(11660,plain, % 183.28/183.25 (P23(f333(f333(f335(x116601),f333(x116602,x116603)),f333(f312(x116604,x116601,x116602),f256(f882(x116604,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(11661,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x116611)),x116611))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11666,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x116661),x116662)),x116661))), % 183.28/183.25 inference(rename_variables,[],[4567])). % 183.28/183.25 cnf(11669,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x116691),x116691))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11672,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x116721),x116721))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11678,plain, % 183.28/183.25 (~P35(x116781,x116782,f116(x116781))), % 183.28/183.25 inference(rename_variables,[],[4513])). % 183.28/183.25 cnf(11681,plain, % 183.28/183.25 (P23(f333(f333(f335(x116811),x116812),f256(f882(x116811,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(11682,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x116821)),x116821))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11685,plain, % 183.28/183.25 (~P23(f333(f62(x116851,x116852,f196(f882(x116851,a870))),x116853))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(11698,plain, % 183.28/183.25 (~P23(f333(f333(f335(x116981),x116982),f196(f882(x116981,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11701,plain, % 183.28/183.25 (E(f333(f333(f16(x117011,x117012),x117013),x117014),x117013)), % 183.28/183.25 inference(rename_variables,[],[3277])). % 183.28/183.25 cnf(11704,plain, % 183.28/183.25 (E(f333(f333(f16(x117041,x117042),x117043),x117044),x117043)), % 183.28/183.25 inference(rename_variables,[],[3277])). % 183.28/183.25 cnf(11716,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),f2(a875)),f333(a115,x117161)))), % 183.28/183.25 inference(rename_variables,[],[3369])). % 183.28/183.25 cnf(11719,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x117191),x117191))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11722,plain, % 183.28/183.25 (P23(f333(f333(f335(x117221),f333(x117222,x117223)),f333(f312(x117224,x117221,x117222),f256(f882(x117224,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(11725,plain, % 183.28/183.25 (P23(f333(f61(x117251),f333(f174(x117251),x117252)))), % 183.28/183.25 inference(rename_variables,[],[3329])). % 183.28/183.25 cnf(11728,plain, % 183.28/183.25 (P23(f333(f61(x117281),f333(f174(x117281),x117282)))), % 183.28/183.25 inference(rename_variables,[],[3329])). % 183.28/183.25 cnf(11731,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),f333(f78(a1),f333(f103(a1),x117311))),f333(f103(a1),x117312)))), % 183.28/183.25 inference(rename_variables,[],[3779])). % 183.28/183.25 cnf(11734,plain, % 183.28/183.25 (~P23(f333(f333(f335(x117341),x117342),f196(f882(x117341,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(11746,plain, % 183.28/183.25 (~P23(f333(f333(f335(a875),x117461),f333(f254(a875),f2(a875))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,4494,10445,10536,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2994,3025,3026,3028,3034,3044,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3756,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,4556,11482,11513,11548,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,10877,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,3350,10648,10678,10687,3389,3383,3818,3754,10321,11601,4549,10272,10642,10645,11086,11104,11564,11617,11661,3310,10681,10834,10905,3779,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132])). % 183.28/183.25 cnf(11753,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x117531),x117531))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11756,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x117561),x117561))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11765,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x117651),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(11768,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x117681),x117681))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11773,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x117731),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(11780,plain, % 183.28/183.25 (P23(f333(f256(f882(x117801,a870)),x117802))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(11785,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x117851))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(11786,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x117861)),x117861))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11789,plain, % 183.28/183.25 (~P23(f333(f62(x117891,x117892,f196(f882(x117891,a870))),x117893))), % 183.28/183.25 inference(rename_variables,[],[4564])). % 183.28/183.25 cnf(11802,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),f333(a115,x118021))),f333(f78(a1),f2(a1))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,4494,10445,10536,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3756,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,10877,11561,11756,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,3310,10681,10834,10905,11630,3779,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418])). % 183.28/183.25 cnf(11806,plain, % 183.28/183.25 (P23(f333(f333(f248(a1),f333(f78(a1),f77(a1))),f2(a1)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,4494,10445,10536,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3756,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,10877,11561,11756,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,3310,10681,10834,10905,11630,3779,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435])). % 183.28/183.25 cnf(11811,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x118111),x118111))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11814,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x118141),x118141))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11817,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x118171),x118171))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11820,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x118201),x118201))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11823,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x118231)),x118231))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11826,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x118261)),x118261))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11829,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x118291)),x118291))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11832,plain, % 183.28/183.25 (~P23(f333(f333(f247(a875),f333(a115,x118321)),x118321))), % 183.28/183.25 inference(rename_variables,[],[4549])). % 183.28/183.25 cnf(11849,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x118491),x118491))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11854,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x118541),f333(f74(a1),x118541)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3756,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,3288,10730,10775,10778,10811,10837,10874,10912,3289,10401,10456,10666,10751,10877,11561,11756,11768,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,3310,10681,10834,10905,11630,3779,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531])). % 183.28/183.25 cnf(11855,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x118551),x118551))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11866,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x118661),x118661))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11869,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(f881(f876(x118691),f876(x118691)),a870)),f159(x118691,x118692)),f309(f876(x118691),f158(x118691,x118692))))), % 183.28/183.25 inference(rename_variables,[],[4006])). % 183.28/183.25 cnf(11876,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x118761),f333(a115,x118761)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(11879,plain, % 183.28/183.25 (P23(f333(f333(f335(f882(x118791,a870)),x118792),f333(f310(x118791),x118792)))), % 183.28/183.25 inference(rename_variables,[],[3660])). % 183.28/183.25 cnf(11880,plain, % 183.28/183.25 (~E(f333(a115,x118801),x118801)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11887,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x118871),x118871))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11892,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x118921),x118921))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11901,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x119011,a870)),x119012),f333(f333(f311(x119011),x119013),x119012)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(11904,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x119041),x119041))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(11905,plain, % 183.28/183.25 (~E(f333(a115,x119051),x119051)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11916,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119161),x119161))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11917,plain, % 183.28/183.25 (~E(f333(a115,x119171),x119171)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11920,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x119201),x119201))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(11923,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x119231),x119231))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(11926,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x119261),x119261))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(11929,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x119291),x119291))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(11931,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),f333(a107,f2(a1))),f333(a115,x119311)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3756,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,4006,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,3310,10681,10834,10905,11630,3779,4130,4547,3826,4530,4532,3261,3262,4531,4534,4535,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775])). % 183.28/183.25 cnf(11932,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x119321),x119321))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11935,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119351),x119351))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11938,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119381),x119381))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11939,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x119391),f333(a115,x119391)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(11946,plain, % 183.28/183.25 (~E(f333(a115,x119461),x119461)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11951,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119511),x119511))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(11952,plain, % 183.28/183.25 (~E(f333(a115,x119521),x119521)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(11957,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x119571),x119571))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11972,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),x119721),x119721))), % 183.28/183.25 inference(rename_variables,[],[3289])). % 183.28/183.25 cnf(11977,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x119771))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(11994,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119941),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(11997,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x119971),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12000,plain, % 183.28/183.25 (~P23(f333(f333(f335(x120001),x120002),f196(f882(x120001,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12003,plain, % 183.28/183.25 (~P23(f333(f333(f335(x120031),x120032),f196(f882(x120031,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12006,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120061),x120061))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12008,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120081),f333(f333(f104(a875),x120081),x120082)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,3749,11598,3270,3369,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,4006,3950,10824,4001,3660,4038,3678,11006,11069,11150,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,3592,3745,10684,11022,11174,11204,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010])). % 183.28/183.25 cnf(12009,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120091),x120091))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12012,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120121),x120121))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12015,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120151),x120151))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12018,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x120181),f333(a115,x120181)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12025,plain, % 183.28/183.25 (P23(f333(f333(f335(f882(x120251,a870)),x120252),f333(f310(x120251),x120252)))), % 183.28/183.25 inference(rename_variables,[],[3660])). % 183.28/183.25 cnf(12030,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x120301,a870)),x120302),f333(f333(f311(x120301),x120303),x120302)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(12037,plain, % 183.28/183.25 (~P23(f333(f333(f335(x120371),x120372),f196(f882(x120371,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12046,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x120461,a870)),x120462),f256(f882(x120461,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(12047,plain, % 183.28/183.25 (~E(f333(a115,x120471),x120471)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12050,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x120501,a870)),f196(f882(x120501,a870))),x120502))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(12053,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x120531,a870)),f333(f174(x120531),f333(f137(x120531,x120532),x120533))),f333(f174(x120531),x120533)))), % 183.28/183.25 inference(rename_variables,[],[3950])). % 183.28/183.25 cnf(12059,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x120591),f333(a115,x120591)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12067,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(x120671,x120671)),x120672),f154(x120671,f116(f882(x120671,a875)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,4049,4006,3950,10824,4001,3660,11879,4038,3678,11006,11069,11150,11210,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,11901,3592,3745,10684,11022,11174,11204,11215,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203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% 183.28/183.25 cnf(12068,plain, % 183.28/183.25 (E(f333(f264(x120681,x120681),f265(x120681,x120682)),x120682)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12079,plain, % 183.28/183.25 (P23(f333(f61(x120791),f196(f882(x120791,a870))))), % 183.28/183.25 inference(rename_variables,[],[3365])). % 183.28/183.25 cnf(12080,plain, % 183.28/183.25 (~P23(f333(f333(f335(x120801),x120802),f196(f882(x120801,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12085,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120851),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12086,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x120861),x120861))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12091,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x120911,a870)),f333(f174(x120911),f178(x120911,x120912,x120913))),f333(f174(x120911),x120912)))), % 183.28/183.25 inference(rename_variables,[],[4001])). % 183.28/183.25 cnf(12094,plain, % 183.28/183.25 (P20(x120941,x120941,f5(x120941),x120942)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12099,plain, % 183.28/183.25 (P23(f333(f333(f335(f882(x120991,a870)),x120992),f333(f310(x120991),x120992)))), % 183.28/183.25 inference(rename_variables,[],[3660])). % 183.28/183.25 cnf(12106,plain, % 183.28/183.25 (P23(f333(f333(f202(a24),x121061),x121061))), % 183.28/183.25 inference(rename_variables,[],[3287])). % 183.28/183.25 cnf(12109,plain, % 183.28/183.25 (~P23(f333(f333(f335(x121091),x121092),f196(f882(x121091,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12112,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x121121,a870)),x121122),f333(f333(f311(x121121),x121123),x121122)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(12113,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x121131,a870)),x121132),f256(f882(x121131,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(12120,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x121201),f333(a115,x121201)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12123,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x121231),f333(a115,x121231)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12126,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x121261),x121261))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12129,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x121291),x121291))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12132,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x121321),x121321))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12135,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x121351),x121351))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12138,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x121381,a870)),x121382),x121382))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12142,plain, % 183.28/183.25 (~P23(f333(f333(f247(a1),f333(f333(f22(a1),a82),a100)),f2(a1)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,11728,4049,4006,3950,10824,4001,11003,3660,11879,12025,4038,3678,11006,11069,11150,11210,12046,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,11901,12030,3592,11168,3745,10684,11022,11174,11204,11215,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625])). % 183.28/183.25 cnf(12145,plain, % 183.28/183.25 (P23(f333(f333(f335(f882(x121451,a870)),x121452),f333(f310(x121451),x121452)))), % 183.28/183.25 inference(rename_variables,[],[3660])). % 183.28/183.25 cnf(12149,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f333(f79(a1),a82),a82)),f2(a1)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,4512,4513,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3346,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,11728,4049,4006,3950,10824,4001,11003,3660,11879,12025,12099,4038,3678,11006,11069,11150,11210,12046,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,3447,10617,10885,10929,11199,11277,11440,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,11901,12030,3592,11168,3745,10684,11022,11174,11204,11215,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660])). % 183.28/183.25 cnf(12154,plain, % 183.28/183.25 (~E(f333(a115,x121541),x121541)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12155,plain, % 183.28/183.25 (E(f333(f312(x121551,x121551,f5(x121551)),x121552),x121552)), % 183.28/183.25 inference(rename_variables,[],[3346])). % 183.28/183.25 cnf(12158,plain, % 183.28/183.25 (P32(x121581,x121582,f116(x121581),f116(x121581))), % 183.28/183.25 inference(rename_variables,[],[3541])). % 183.28/183.25 cnf(12161,plain, % 183.28/183.25 (~E(f333(a115,x121611),x121611)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12164,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x121641,a870)),f333(f174(x121641),f178(x121641,x121642,x121643))),f333(f174(x121641),x121642)))), % 183.28/183.25 inference(rename_variables,[],[4001])). % 183.28/183.25 cnf(12165,plain, % 183.28/183.25 (P23(f333(f61(x121651),f333(f174(x121651),x121652)))), % 183.28/183.25 inference(rename_variables,[],[3329])). % 183.28/183.25 cnf(12176,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x121761),x121761))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12179,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x121791),x121791))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12188,plain, % 183.28/183.25 (P28(a875,f333(f170(a875),f333(f333(f155(f876(x121881),a875),f197(f876(x121881))),f182(x121881,x121882))))), % 183.28/183.25 inference(rename_variables,[],[3861])). % 183.28/183.25 cnf(12191,plain, % 183.28/183.25 (P20(x121911,x121911,f5(x121911),x121912)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12194,plain, % 183.28/183.25 (P23(f333(f333(f335(f876(x121941)),f116(x121941)),f162(x121941,x121942)))), % 183.28/183.25 inference(rename_variables,[],[3493])). % 183.28/183.25 cnf(12197,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x121971,f882(x121972,a870))),x121973),x121974))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(12199,plain, % 183.28/183.25 (P23(f333(f333(f248(f882(x121991,a870)),f333(a115,f256(f882(x121991,a870)))),f333(f333(f311(x121991),x121992),f256(f882(x121991,a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,3541,4512,4513,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,3659,4370,4371,4502,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,11728,4049,4006,3950,10824,4001,11003,12091,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,11901,12030,3592,11168,3745,10684,11022,11174,11204,11215,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,4190,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921])). % 183.28/183.25 cnf(12202,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x122021),x122021))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12203,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),f2(a875)),x122031))), % 183.28/183.25 inference(rename_variables,[],[3310])). % 183.28/183.25 cnf(12206,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x122061,f882(x122062,a870))),x122063),x122064))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(12209,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(f881(f876(x122091),f876(x122091)),a870)),f159(x122091,x122092)),f309(f876(x122091),f158(x122091,x122092))))), % 183.28/183.25 inference(rename_variables,[],[4006])). % 183.28/183.25 cnf(12215,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122151,a870)),f196(f882(x122151,a870))),x122152))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(12218,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122181,a870)),f333(f312(x122182,x122181,x122183),f333(f313(x122182,x122181,x122183),x122184))),x122184))), % 183.28/183.25 inference(rename_variables,[],[4190])). % 183.28/183.25 cnf(12221,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122211,a870)),f333(f174(x122211),f178(x122211,x122212,x122213))),f333(f174(x122211),x122212)))), % 183.28/183.25 inference(rename_variables,[],[4001])). % 183.28/183.25 cnf(12222,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122221,a870)),f333(f174(x122221),f333(f137(x122221,x122222),x122223))),f333(f174(x122221),x122223)))), % 183.28/183.25 inference(rename_variables,[],[3950])). % 183.28/183.25 cnf(12225,plain, % 183.28/183.25 (P20(x122251,f879(x122251),f240(x122251),x122252)), % 183.28/183.25 inference(rename_variables,[],[3542])). % 183.28/183.25 cnf(12230,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122301,a870)),f333(f312(x122302,x122301,x122303),f333(f313(x122302,x122301,x122303),x122304))),x122304))), % 183.28/183.25 inference(rename_variables,[],[4190])). % 183.28/183.25 cnf(12233,plain, % 183.28/183.25 (P23(f333(f61(f879(x122331)),f333(f312(x122332,f879(x122331),f333(f180(x122332,x122331),x122333)),f256(f882(x122332,a870)))))), % 183.28/183.25 inference(rename_variables,[],[4015])). % 183.28/183.25 cnf(12238,plain, % 183.28/183.25 (P23(f333(f333(f335(f876(x122381)),f116(x122381)),f162(x122381,x122382)))), % 183.28/183.25 inference(rename_variables,[],[3493])). % 183.28/183.25 cnf(12241,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x122411),f876(x122411))),f333(f333(f268(f876(x122411),f876(x122411)),x122412),f116(x122411))),f146(x122411,x122413)))), % 183.28/183.25 inference(rename_variables,[],[4574])). % 183.28/183.25 cnf(12244,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x122441),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12246,plain, % 183.28/183.25 (~P23(f333(f61(x122461),f256(f882(x122461,a870))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,4494,10445,10536,3501,3201,2886,2890,2891,2893,2894,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,3221,3229,3756,3998,3119,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,3214,3393,4561,3938,4504,10275,10442,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,3940,11000,11126,11177,4574,10932,11131,11236,11258,11296,11302,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,3659,4370,4371,4502,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3485,4557,4080,11253,3617,3329,11725,11728,4049,4006,11869,12209,3950,10824,12053,4001,11003,12091,12164,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,4015,3905,11318,11656,11660,3743,10945,10951,10966,11901,12030,3592,11168,12138,3745,10684,11022,11174,11204,11215,12050,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,4190,10817,12218,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,992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% 183.28/183.25 cnf(12247,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122471,a870)),x122472),x122472))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12250,plain, % 183.28/183.25 (~P23(f333(f333(f335(x122501),x122502),f196(f882(x122501,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12253,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x122531,f882(x122532,a870))),x122533),x122534))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(12256,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122561,a870)),f333(f312(x122562,x122561,x122563),f333(f313(x122562,x122561,x122563),x122564))),x122564))), % 183.28/183.25 inference(rename_variables,[],[4190])). % 183.28/183.25 cnf(12257,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122571,a870)),x122572),x122572))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12262,plain, % 183.28/183.25 (E(f333(f264(x122621,x122621),f265(x122621,x122622)),x122622)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12265,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x122651,a870)),f333(f174(x122651),f178(x122651,x122652,x122653))),f333(f174(x122651),x122652)))), % 183.28/183.25 inference(rename_variables,[],[4001])). % 183.28/183.25 cnf(12266,plain, % 183.28/183.25 (P23(f333(f61(x122661),f333(f174(x122661),x122662)))), % 183.28/183.25 inference(rename_variables,[],[3329])). % 183.28/183.25 cnf(12272,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x122721),x122721))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12275,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x122751),x122751))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12286,plain, % 183.28/183.25 (P20(x122861,x122861,f5(x122861),x122862)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12291,plain, % 183.28/183.25 (~P23(f333(f333(f335(x122911),x122912),f196(f882(x122911,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12294,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x122941,x122941)),f333(f333(f268(x122941,x122941),x122942),x122942)),f309(x122941,x122943)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(12297,plain, % 183.28/183.25 (~P23(f333(f333(f335(x122971),x122972),f196(f882(x122971,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12300,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x123001,x123001)),f333(f333(f268(x123001,x123001),x123002),x123002)),f309(x123001,x123003)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(12310,plain, % 183.28/183.25 (~E(f333(f333(f152(x123101),x123102),x123103),x123103)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(12313,plain, % 183.28/183.25 (P23(f333(f333(f335(x123131),x123132),f256(f882(x123131,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(12314,plain, % 183.28/183.25 (~E(f333(a115,x123141),x123141)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12317,plain, % 183.28/183.25 (P23(f333(f333(f335(f876(x123171)),f116(x123171)),f162(x123171,x123172)))), % 183.28/183.25 inference(rename_variables,[],[3493])). % 183.28/183.25 cnf(12318,plain, % 183.28/183.25 (~E(f333(f333(f152(x123181),x123182),x123183),f116(x123181))), % 183.28/183.25 inference(rename_variables,[],[4511])). % 183.28/183.25 cnf(12321,plain, % 183.28/183.25 (P23(f333(f333(f335(x123211),f333(x123212,x123213)),f333(f312(x123214,x123211,x123212),f256(f882(x123214,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(12322,plain, % 183.28/183.25 (P20(x123221,x123221,f5(x123221),x123222)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12325,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123251,a870)),f196(f882(x123251,a870))),x123252))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(12326,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123261,a870)),x123262),x123262))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12329,plain, % 183.28/183.25 (P23(f333(f333(f335(x123291),f333(x123292,x123293)),f333(f312(x123294,x123291,x123292),f256(f882(x123294,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(12330,plain, % 183.28/183.25 (P20(x123301,x123301,f5(x123301),x123302)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12333,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x123331),f876(x123331))),f333(f333(f268(f876(x123331),f876(x123331)),f116(x123331)),f116(x123331))),f159(x123331,x123332)))), % 183.28/183.25 inference(rename_variables,[],[4086])). % 183.28/183.25 cnf(12336,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x123361),x123361))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12337,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x123371),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12343,plain, % 183.28/183.25 (P20(x123431,x123431,f5(x123431),x123432)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12346,plain, % 183.28/183.25 (E(f333(f333(f135(x123461),x123462),f116(x123461)),x123462)), % 183.28/183.25 inference(rename_variables,[],[3215])). % 183.28/183.25 cnf(12347,plain, % 183.28/183.25 (~E(f333(f333(f152(x123471),x123472),x123473),x123473)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(12350,plain, % 183.28/183.25 (E(f333(f333(f135(x123501),x123502),f116(x123501)),x123502)), % 183.28/183.25 inference(rename_variables,[],[3215])). % 183.28/183.25 cnf(12351,plain, % 183.28/183.25 (~E(f333(f333(f152(x123511),x123512),x123513),x123513)), % 183.28/183.25 inference(rename_variables,[],[4504])). % 183.28/183.25 cnf(12354,plain, % 183.28/183.25 (E(f333(f333(f135(x123541),x123542),f116(x123541)),x123542)), % 183.28/183.25 inference(rename_variables,[],[3215])). % 183.28/183.25 cnf(12363,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123631,a870)),x123632),f256(f882(x123631,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(12367,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x123671),x123671))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12368,plain, % 183.28/183.25 (~E(f333(a115,x123681),x123681)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12371,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123711,a870)),f196(f882(x123711,a870))),x123712))), % 183.28/183.25 inference(rename_variables,[],[3745])). % 183.28/183.25 cnf(12374,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x123741),x123741))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12377,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123771,a870)),x123772),x123772))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12382,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123821,a870)),x123822),f333(f333(f311(x123821),x123823),x123822)))), % 183.28/183.25 inference(rename_variables,[],[3743])). % 183.28/183.25 cnf(12385,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x123851,a870)),x123852),x123852))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12386,plain, % 183.28/183.25 (~P23(f333(f333(f335(x123861),x123862),f196(f882(x123861,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12389,plain, % 183.28/183.25 (~P23(f333(f333(f335(x123891),x123892),f196(f882(x123891,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12397,plain, % 183.28/183.25 (~P23(f333(f333(f247(f882(f881(x123971,x123971),a870)),f333(f312(f881(x123971,x123971),f881(x123971,x123971),f5(f881(x123971,x123971))),f256(f882(f881(x123971,x123971),a870)))),f333(f312(f881(x123971,x123971),f881(x123971,x123971),f5(f881(x123971,x123971))),f333(a115,f256(f882(f881(x123971,x123971),a870))))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,3215,12346,12350,3221,3229,3756,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,3940,11000,11126,11177,12294,12300,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,3485,4557,4080,11253,3617,3329,11725,11728,12165,4049,4006,11869,12209,3950,10824,12053,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,3350,10648,10678,10687,11228,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187])). % 183.28/183.25 cnf(12398,plain, % 183.28/183.25 (P20(x123981,x123981,f5(x123981),x123982)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12401,plain, % 183.28/183.25 (E(f333(f197(f876(x124011)),f171(x124011,x124012,x124013)),x124012)), % 183.28/183.25 inference(rename_variables,[],[3356])). % 183.28/183.25 cnf(12404,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x124041),x124041))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12405,plain, % 183.28/183.25 (P23(f333(f256(f882(x124051,a870)),x124052))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(12408,plain, % 183.28/183.25 (~P23(f333(f333(f335(x124081),x124082),f196(f882(x124081,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12411,plain, % 183.28/183.25 (P23(f333(f333(f335(x124111),f333(x124112,x124113)),f333(f312(x124114,x124111,x124112),f256(f882(x124114,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(12412,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x124121,x124121)),f333(f333(f268(x124121,x124121),x124122),x124122)),f309(x124121,x124123)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(12415,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x124151,x124151)),f333(f333(f268(x124151,x124151),x124152),x124152)),f309(x124151,x124153)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(12418,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x124181),x124181))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12419,plain, % 183.28/183.25 (P23(f333(f256(f882(x124191,a870)),x124192))), % 183.28/183.25 inference(rename_variables,[],[3350])). % 183.28/183.25 cnf(12422,plain, % 183.28/183.25 (P23(f333(f61(x124221),f333(f174(x124221),x124222)))), % 183.28/183.25 inference(rename_variables,[],[3329])). % 183.28/183.25 cnf(12427,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x124271),f876(x124271))),f333(f333(f268(f876(x124271),f876(x124271)),f116(x124271)),f116(x124271))),f333(f333(f290(f876(x124271),f876(x124271),f876(x124271)),f159(x124271,x124272)),f159(x124271,x124272))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,3215,12346,12350,12354,3221,3229,3756,3356,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,3940,11000,11126,11177,12294,12300,12412,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429])). % 183.28/183.25 cnf(12429,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x124291,x124291)),f333(f333(f268(x124291,x124291),x124292),x124292)),f333(f333(f290(x124291,x124291,x124291),f309(x124291,x124293)),f309(x124291,f309(x124291,x124293)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,3215,12346,12350,12354,3221,3229,3756,3356,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,3940,11000,11126,11177,12294,12300,12412,12415,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436])). % 183.28/183.25 cnf(12432,plain, % 183.28/183.25 (~P23(f333(f333(f196(f882(x124321,f882(x124322,a870))),x124323),x124324))), % 183.28/183.25 inference(rename_variables,[],[4569])). % 183.28/183.25 cnf(12435,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x124351,a870)),x124352),f256(f882(x124351,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(12438,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(x124381,x124381)),f333(f333(f268(x124381,x124381),x124382),x124382)),f309(x124381,x124383)))), % 183.28/183.25 inference(rename_variables,[],[3940])). % 183.28/183.25 cnf(12441,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x124411),x124412)),x124412))), % 183.28/183.25 inference(rename_variables,[],[4566])). % 183.28/183.25 cnf(12442,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x124421),f333(a115,x124421)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12445,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x124451,a870)),f333(f174(x124451),f333(f137(x124451,x124452),x124453))),f333(f174(x124451),x124453)))), % 183.28/183.25 inference(rename_variables,[],[3950])). % 183.28/183.25 cnf(12448,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x124481,a870)),x124482),f256(f882(x124481,a870))))), % 183.28/183.25 inference(rename_variables,[],[3678])). % 183.28/183.25 cnf(12451,plain, % 183.28/183.25 (E(f333(f264(x124511,x124511),f265(x124511,x124512)),x124512)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12458,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f881(f876(x124581),f876(x124581)),f881(f876(x124581),f876(x124581)))),f593(f309(f881(f876(x124581),f876(x124581)),x124582),f146(x124581,x124583),f881(f876(x124581),f876(x124581)))),f309(f881(f876(x124581),f876(x124581)),x124582)))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3633,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,3215,12346,12350,12354,3221,3229,3756,3356,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,4224,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,12253,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509])). % 183.28/183.25 cnf(12462,plain, % 183.28/183.25 (~P23(f333(f333(f335(x124621),x124622),f196(f882(x124621,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12463,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x124631),f876(x124631))),f333(f333(f268(f876(x124631),f876(x124631)),f116(x124631)),f116(x124631))),f159(x124631,x124632)))), % 183.28/183.25 inference(rename_variables,[],[4086])). % 183.28/183.25 cnf(12465,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(a875,a875)),f333(f333(f268(a875,a875),f333(a115,x124651)),f333(a115,f333(a115,x124651)))),f333(f333(f290(a875,a875,a875),f309(a875,a323)),f309(a875,f309(a875,a323)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3633,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,3215,12346,12350,12354,3221,3229,3756,3356,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,4224,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,12253,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537])). % 183.28/183.25 cnf(12468,plain, % 183.28/183.25 (~P23(f333(f333(f335(x124681),x124682),f196(f882(x124681,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12471,plain, % 183.28/183.25 (P31(x124711,x124712,f116(x124711))), % 183.28/183.25 inference(rename_variables,[],[3220])). % 183.28/183.25 cnf(12474,plain, % 183.28/183.25 (E(f333(f197(f876(x124741)),f171(x124741,x124742,x124743)),x124742)), % 183.28/183.25 inference(rename_variables,[],[3356])). % 183.28/183.25 cnf(12477,plain, % 183.28/183.25 (~P23(f333(f333(f335(x124771),x124772),f196(f882(x124771,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12481,plain, % 183.28/183.25 (~P23(f333(f333(f335(f881(f876(x124811),f876(x124811))),f333(f333(f268(f876(x124811),f876(x124811)),x124812),x124812)),f148(x124811,f154(x124811,f116(f882(x124811,a875))))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,3220,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3633,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,3215,12346,12350,12354,3221,3229,3756,3356,12401,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,4224,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,3447,10617,10885,10929,11199,11277,11440,11681,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,12253,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908])). % 183.28/183.25 cnf(12483,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x124831),x124831))), % 183.28/183.25 inference(rename_variables,[],[4540])). % 183.28/183.25 cnf(12485,plain, % 183.28/183.25 (P23(f333(f333(f335(f881(f876(x124851),f876(x124851))),f333(f333(f268(f876(x124851),f876(x124851)),f171(x124851,f333(f197(f876(x124851)),x124852),x124853)),x124852)),f159(x124851,f256(f882(f881(x124851,x124851),a870)))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,3541,3542,3255,3220,4512,4513,3154,4497,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,4494,10445,10536,3345,3501,3201,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3046,3054,3061,3076,4475,3633,3866,11612,3129,11329,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3180,3145,3140,3126,3127,3769,3160,3346,10827,12155,3213,3214,3393,4561,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3394,3175,10344,10651,3176,3452,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,3749,11598,3270,3369,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,4556,11482,11513,11548,11578,3736,3502,3888,3316,3317,3291,4541,4499,3687,4224,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,3447,10617,10885,10929,11199,11277,11440,11681,12313,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,4130,4547,3790,3826,4530,4532,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,3905,11318,11656,11660,11722,12321,12329,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,4568,11595,4558,4569,10741,10843,11153,11437,11468,12197,12206,12253,4190,10817,12218,12230,4091,3778,3722,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965])). % 183.28/183.25 cnf(12486,plain, % 183.28/183.25 (P23(f333(f333(f335(x124861),x124862),f256(f882(x124861,a870))))), % 183.28/183.25 inference(rename_variables,[],[3447])). % 183.28/183.25 cnf(12493,plain, % 183.28/183.25 (P23(f333(f333(f247(f882(x124931,a870)),x124932),x124932))), % 183.28/183.25 inference(rename_variables,[],[3592])). % 183.28/183.25 cnf(12496,plain, % 183.28/183.25 (~P23(f333(f333(f335(x124961),x124962),f196(f882(x124961,a870))))), % 183.28/183.25 inference(rename_variables,[],[4552])). % 183.28/183.25 cnf(12499,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),f2(a1)),f333(f333(f258(a1),f333(f74(a1),x124991)),x124992)))), % 183.28/183.25 inference(rename_variables,[],[3778])). % 183.28/183.25 cnf(12502,plain, % 183.28/183.25 (~E(f333(a115,x125021),x125021)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12504,plain, % 183.28/183.25 (E(f333(f264(x125041,x125041),f265(x125041,x125042)),x125042)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12506,plain, % 183.28/183.25 (E(f333(f264(x125061,x125061),f265(x125061,x125062)),x125062)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12516,plain, % 183.28/183.25 (P37(x125161,f154(x125161,x125162))), % 183.28/183.25 inference(rename_variables,[],[3154])). % 183.28/183.25 cnf(12520,plain, % 183.28/183.25 (P20(x125201,x125201,f5(x125201),x125202)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12522,plain, % 183.28/183.25 (P20(x125221,x125221,f5(x125221),x125222)), % 183.28/183.25 inference(rename_variables,[],[3532])). % 183.28/183.25 cnf(12530,plain, % 183.28/183.25 (E(f333(f264(x125301,x125301),f265(x125301,x125302)),x125302)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12532,plain, % 183.28/183.25 (E(f333(f264(x125321,x125321),f265(x125321,x125322)),x125322)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12534,plain, % 183.28/183.25 (E(f333(f264(x125341,x125341),f265(x125341,x125342)),x125342)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12536,plain, % 183.28/183.25 (E(f333(f264(x125361,x125361),f265(x125361,x125362)),x125362)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12538,plain, % 183.28/183.25 (E(f333(f264(x125381,x125381),f265(x125381,x125382)),x125382)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12544,plain, % 183.28/183.25 (E(f333(f264(x125441,x125441),f265(x125441,x125442)),x125442)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12546,plain, % 183.28/183.25 (E(f333(f264(x125461,x125461),f265(x125461,x125462)),x125462)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12552,plain, % 183.28/183.25 (E(f333(f264(x125521,x125521),f265(x125521,x125522)),x125522)), % 183.28/183.25 inference(rename_variables,[],[3244])). % 183.28/183.25 cnf(12555,plain, % 183.28/183.25 (E(f196(f882(f881(x125551,x125551),a870)),f265(x125551,f196(f882(x125551,a870))))), % 183.28/183.25 inference(rename_variables,[],[3360])). % 183.28/183.25 cnf(12557,plain, % 183.28/183.25 (P19(x125571,x125572,f196(f882(f874(x125571),a870)))), % 183.28/183.25 inference(rename_variables,[],[3344])). % 183.28/183.25 cnf(12567,plain, % 183.28/183.25 (P39(x125671,x125672,f265(x125671,x125672))), % 183.28/183.25 inference(rename_variables,[],[3254])). % 183.28/183.25 cnf(12569,plain, % 183.28/183.25 (P39(x125691,x125692,f265(x125691,x125692))), % 183.28/183.25 inference(rename_variables,[],[3254])). % 183.28/183.25 cnf(12574,plain, % 183.28/183.25 (P49(x125741,x125741,f265(x125741,x125742))), % 183.28/183.25 inference(rename_variables,[],[3255])). % 183.28/183.25 cnf(12580,plain, % 183.28/183.25 (P50(x125801,f196(f882(x125801,a870)),x125802)), % 183.28/183.25 inference(rename_variables,[],[3308])). % 183.28/183.25 cnf(12584,plain, % 183.28/183.25 (P29(x125841,f2(a875),f333(f333(f333(f91(x125841),x125842),f333(a25,x125843)),x125844))), % 183.28/183.25 inference(rename_variables,[],[3671])). % 183.28/183.25 cnf(12594,plain, % 183.28/183.25 (P32(x125941,x125942,f116(x125941),f116(x125941))), % 183.28/183.25 inference(rename_variables,[],[3541])). % 183.28/183.25 cnf(12596,plain, % 183.28/183.25 (P32(x125961,x125962,f116(x125961),f116(x125961))), % 183.28/183.25 inference(rename_variables,[],[3541])). % 183.28/183.25 cnf(12600,plain, % 183.28/183.25 (P42(x126001,x126002,x126003,x126004,f196(f882(x126001,a870)),x126004)), % 183.28/183.25 inference(rename_variables,[],[4254])). % 183.28/183.25 cnf(12603,plain, % 183.28/183.25 (P42(x126031,x126032,x126033,x126034,f196(f882(x126031,a870)),x126034)), % 183.28/183.25 inference(rename_variables,[],[4254])). % 183.28/183.25 cnf(12609,plain, % 183.28/183.25 (P10(x126091,f882(x126091,a870),f311(x126091))), % 183.28/183.25 inference(rename_variables,[],[3258])). % 183.28/183.25 cnf(12619,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),f2(a875)),f333(a115,x126191)))), % 183.28/183.25 inference(rename_variables,[],[3369])). % 183.28/183.25 cnf(12620,plain, % 183.28/183.25 (~E(f333(a115,x126201),x126201)), % 183.28/183.25 inference(rename_variables,[],[4479])). % 183.28/183.25 cnf(12626,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x126261),f333(a115,x126261)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12631,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x126311),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12634,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x126341),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12641,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f333(f103(a1),x126411)),f333(f78(a1),f333(f103(a1),x126412))))), % 183.28/183.25 inference(rename_variables,[],[4563])). % 183.28/183.25 cnf(12651,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x126511),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12654,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x126541),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12657,plain, % 183.28/183.25 (P23(f333(f61(a875),f306(a875,x126571,x126572)))), % 183.28/183.25 inference(rename_variables,[],[3503])). % 183.28/183.25 cnf(12660,plain, % 183.28/183.25 (P23(f333(f61(a875),f306(a875,x126601,x126602)))), % 183.28/183.25 inference(rename_variables,[],[3503])). % 183.28/183.25 cnf(12663,plain, % 183.28/183.25 (P23(f333(f61(a875),f306(a875,x126631,x126632)))), % 183.28/183.25 inference(rename_variables,[],[3503])). % 183.28/183.25 cnf(12666,plain, % 183.28/183.25 (P23(f333(f61(a875),f306(a875,x126661,x126662)))), % 183.28/183.25 inference(rename_variables,[],[3503])). % 183.28/183.25 cnf(12673,plain, % 183.28/183.25 (P23(f333(f333(f247(a1),f333(f78(a1),f333(f103(a1),x126731))),f333(f103(a1),x126732)))), % 183.28/183.25 inference(rename_variables,[],[3779])). % 183.28/183.25 cnf(12676,plain, % 183.28/183.25 (~P23(f333(f333(f248(a875),x126761),f2(a875)))), % 183.28/183.25 inference(rename_variables,[],[4544])). % 183.28/183.25 cnf(12677,plain, % 183.28/183.25 (P23(f333(f333(f247(a875),x126771),x126771))), % 183.28/183.25 inference(rename_variables,[],[3288])). % 183.28/183.25 cnf(12684,plain, % 183.28/183.25 (P23(f333(f333(f248(a875),x126841),f333(a115,x126841)))), % 183.28/183.25 inference(rename_variables,[],[3357])). % 183.28/183.25 cnf(12687,plain, % 183.28/183.25 (P23(f333(f333(f335(x126871),f333(x126872,x126873)),f333(f312(x126874,x126871,x126872),f256(f882(x126874,a870)))))), % 183.28/183.25 inference(rename_variables,[],[3905])). % 183.28/183.25 cnf(12688,plain, % 183.28/183.25 (~E(f333(a115,x126881),f2(a875))), % 183.28/183.25 inference(rename_variables,[],[4489])). % 183.28/183.25 cnf(12690,plain, % 183.28/183.25 (~P23(f333(f333(f248(a1),f2(a1)),f333(f106(a1),f2(a1))))), % 183.28/183.25 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3045,3046,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,4556,11482,11513,11548,11578,3736,3502,3503,12657,12660,12663,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,3447,10617,10885,10929,11199,11277,11440,11681,12313,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,11731,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,3722,3723,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253])). % 183.28/183.26 cnf(12692,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),f333(f106(a1),a82)),f2(a1)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2965,2971,2972,2994,3025,3026,3028,3034,3044,3045,3046,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3861,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,4556,11482,11513,11548,11578,3736,3502,3503,12657,12660,12663,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,3290,3365,12079,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,3447,10617,10885,10929,11199,11277,11440,11681,12313,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,3350,10648,10678,10687,11228,11780,12405,3389,3383,3818,3754,10321,11601,11629,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,3779,11731,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,3722,3723,4566,10294,10297,10636,10639,11479,11657,4567,11575,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260])). % 183.28/183.26 cnf(12693,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x126931),x126931))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12696,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x126961,x126962)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(12699,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x126991,x126992)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(12702,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127021),x127021))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12715,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x127151),f333(a115,x127151)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(12720,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f44(a875,x127201,x127202)),x127201))), % 183.28/183.26 inference(rename_variables,[],[3754])). % 183.28/183.26 cnf(12727,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x127271),f333(a115,x127271)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(12728,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),x127281),f2(a875)))), % 183.28/183.26 inference(rename_variables,[],[4544])). % 183.28/183.26 cnf(12737,plain, % 183.28/183.26 (~P23(f333(f333(f248(a1),f333(f103(a1),x127371)),f2(a1)))), % 183.28/183.26 inference(rename_variables,[],[4556])). % 183.28/183.26 cnf(12738,plain, % 183.28/183.26 (P23(f333(f256(f882(x127381,a870)),x127382))), % 183.28/183.26 inference(rename_variables,[],[3350])). % 183.28/183.26 cnf(12741,plain, % 183.28/183.26 (~P23(f333(f333(f248(a1),f333(f103(a1),x127411)),f2(a1)))), % 183.28/183.26 inference(rename_variables,[],[4556])). % 183.28/183.26 cnf(12742,plain, % 183.28/183.26 (P23(f333(f256(f882(x127421,a870)),x127422))), % 183.28/183.26 inference(rename_variables,[],[3350])). % 183.28/183.26 cnf(12745,plain, % 183.28/183.26 (P23(f333(f256(f882(x127451,a870)),x127452))), % 183.28/183.26 inference(rename_variables,[],[3350])). % 183.28/183.26 cnf(12756,plain, % 183.28/183.26 (~P23(f333(f333(f335(x127561),x127562),f196(f882(x127561,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12757,plain, % 183.28/183.26 (P23(f333(f61(x127571),f196(f882(x127571,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12766,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f2(a875)),x127661))), % 183.28/183.26 inference(rename_variables,[],[3310])). % 183.28/183.26 cnf(12769,plain, % 183.28/183.26 (~P23(f333(f333(f335(x127691),x127692),f196(f882(x127691,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12772,plain, % 183.28/183.26 (~P23(f333(f333(f335(x127721),x127722),f196(f882(x127721,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12775,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127751),x127751))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12782,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127821),x127821))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12786,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x127861),f333(a115,x127861)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(12789,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127891),x127891))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12794,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127941),x127941))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12797,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x127971),x127971))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12800,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x128001),x128001))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12803,plain, % 183.28/183.26 (E(f333(f333(f22(f882(x128031,a870)),f196(f882(x128031,a870))),x128032),f196(f882(x128031,a870)))), % 183.28/183.26 inference(rename_variables,[],[3563])). % 183.28/183.26 cnf(12804,plain, % 183.28/183.26 (P23(f333(f61(x128041),f196(f882(x128041,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12807,plain, % 183.28/183.26 (E(f333(f333(f22(f882(x128071,a870)),f196(f882(x128071,a870))),x128072),f196(f882(x128071,a870)))), % 183.28/183.26 inference(rename_variables,[],[3563])). % 183.28/183.26 cnf(12808,plain, % 183.28/183.26 (P23(f333(f61(x128081),f196(f882(x128081,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12811,plain, % 183.28/183.26 (E(f333(f333(f22(f882(x128111,a870)),f196(f882(x128111,a870))),x128112),f196(f882(x128111,a870)))), % 183.28/183.26 inference(rename_variables,[],[3563])). % 183.28/183.26 cnf(12812,plain, % 183.28/183.26 (P23(f333(f61(x128121),f196(f882(x128121,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12815,plain, % 183.28/183.26 (E(f333(f333(f22(f882(x128151,a870)),f196(f882(x128151,a870))),x128152),f196(f882(x128151,a870)))), % 183.28/183.26 inference(rename_variables,[],[3563])). % 183.28/183.26 cnf(12816,plain, % 183.28/183.26 (P23(f333(f61(x128161),f196(f882(x128161,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12820,plain, % 183.28/183.26 (E(f333(f264(x128201,x128201),f265(x128201,x128202)),x128202)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(12825,plain, % 183.28/183.26 (E(f333(f333(f22(f882(x128251,a870)),f196(f882(x128251,a870))),x128252),f196(f882(x128251,a870)))), % 183.28/183.26 inference(rename_variables,[],[3563])). % 183.28/183.26 cnf(12826,plain, % 183.28/183.26 (P23(f333(f61(x128261),f196(f882(x128261,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12830,plain, % 183.28/183.26 (P23(f333(f61(x128301),f196(f882(x128301,a870))))), % 183.28/183.26 inference(rename_variables,[],[3365])). % 183.28/183.26 cnf(12833,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x128331),x128331))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12839,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x128391),x128391))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12842,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x128421),f333(a115,x128421)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(12845,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x128451),x128451))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12848,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x128481),f333(a115,x128481)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(12863,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x128631),x128631))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12866,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x128661),x128661))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12869,plain, % 183.28/183.26 (~P23(f333(f333(f335(x128691),x128692),f196(f882(x128691,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12880,plain, % 183.28/183.26 (P23(f333(f333(f335(x128801),x128802),f256(f882(x128801,a870))))), % 183.28/183.26 inference(rename_variables,[],[3447])). % 183.28/183.26 cnf(12885,plain, % 183.28/183.26 (P23(f333(f333(f248(f882(f881(f876(x128851),f876(x128851)),a870)),f146(x128851,x128852)),f333(f333(f311(f881(f876(x128851),f876(x128851))),f333(f333(f268(f876(x128851),f876(x128851)),x128853),f116(x128851))),f146(x128851,x128852))))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,12493,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,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% 183.28/183.26 cnf(12886,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x128861,a870)),x128862),x128862))), % 183.28/183.26 inference(rename_variables,[],[3592])). % 183.28/183.26 cnf(12892,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),x128921),f2(a875)))), % 183.28/183.26 inference(rename_variables,[],[4544])). % 183.28/183.26 cnf(12893,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x128931),x128931))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12897,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),x128971),f2(a875)))), % 183.28/183.26 inference(rename_variables,[],[4544])). % 183.28/183.26 cnf(12898,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x128981),x128981))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12907,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x129071),x129071))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12914,plain, % 183.28/183.26 (E(f333(f333(f16(x129141,x129142),x129143),x129144),x129143)), % 183.28/183.26 inference(rename_variables,[],[3277])). % 183.28/183.26 cnf(12917,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x129171,a870)),f333(f174(x129171),f178(x129171,x129172,x129173))),f333(f174(x129171),x129172)))), % 183.28/183.26 inference(rename_variables,[],[4001])). % 183.28/183.26 cnf(12919,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f472(f333(x129191,f2(a875)),x129191,f2(a875))),f2(a875)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,11704,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,12493,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411])). % 183.28/183.26 cnf(12921,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),x129211),f2(a875)))), % 183.28/183.26 inference(rename_variables,[],[4544])). % 183.28/183.26 cnf(12922,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),x129221),x129221))), % 183.28/183.26 inference(rename_variables,[],[3289])). % 183.28/183.26 cnf(12926,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),x129261),f2(a875)))), % 183.28/183.26 inference(rename_variables,[],[4544])). % 183.28/183.26 cnf(12931,plain, % 183.28/183.26 (~P23(f333(f333(f248(f882(a875,a870)),f304(a875,f333(a115,x129311),f333(a115,x129311))),f304(a875,x129312,x129311)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,11704,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,12493,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505])). % 183.28/183.26 cnf(12932,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x129321),x129321))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12934,plain, % 183.28/183.26 (~P23(f333(f333(f247(f882(a875,a870)),f304(a875,f333(a115,x129341),f333(a115,x129341))),f304(a875,x129342,x129341)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,11704,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,12493,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506])). % 183.28/183.26 cnf(12935,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x129351),x129351))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(12938,plain, % 183.28/183.26 (~P23(f333(f333(f247(a875),f333(a115,x129381)),x129381))), % 183.28/183.26 inference(rename_variables,[],[4549])). % 183.28/183.26 cnf(12943,plain, % 183.28/183.26 (E(x129431,f828(f333(f5(x129432),f333(f5(x129432),x129431)),f5(x129432),x129432,x129432))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,4511,12318,3277,11701,11704,4550,10994,11064,11288,11291,3696,3394,3618,3360,12555,3175,10344,10651,3176,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,4562,10772,11142,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,3743,10945,10951,10966,11901,12030,12112,3592,11168,12138,12247,12257,12326,12377,12385,12493,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650])). % 183.28/183.26 cnf(12944,plain, % 183.28/183.26 (P23(f333(f333(f335(x129441),f333(x129442,x129443)),f333(f312(x129444,x129441,x129442),f256(f882(x129444,a870)))))), % 183.28/183.26 inference(rename_variables,[],[3905])). % 183.28/183.26 cnf(12945,plain, % 183.28/183.26 (P20(x129451,x129451,f5(x129451),x129452)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12949,plain, % 183.28/183.26 (P23(f333(f333(f335(x129491),x129492),f256(f882(x129491,a870))))), % 183.28/183.26 inference(rename_variables,[],[3447])). % 183.28/183.26 cnf(12950,plain, % 183.28/183.26 (~P23(f333(f333(f335(x129501),x129502),f196(f882(x129501,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12954,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x129541,a870)),x129542),f256(f882(x129541,a870))))), % 183.28/183.26 inference(rename_variables,[],[3678])). % 183.28/183.26 cnf(12955,plain, % 183.28/183.26 (P20(x129551,x129551,f5(x129551),x129552)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12959,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x129591,a870)),x129592),f256(f882(x129591,a870))))), % 183.28/183.26 inference(rename_variables,[],[3678])). % 183.28/183.26 cnf(12960,plain, % 183.28/183.26 (P20(x129601,x129601,f5(x129601),x129602)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12964,plain, % 183.28/183.26 (P20(x129641,x129641,f5(x129641),x129642)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12967,plain, % 183.28/183.26 (~P23(f333(f333(f248(f882(x129671,a870)),x129672),f196(f882(x129671,a870))))), % 183.28/183.26 inference(rename_variables,[],[4562])). % 183.28/183.26 cnf(12970,plain, % 183.28/183.26 (P20(x129701,x129701,f5(x129701),x129702)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12973,plain, % 183.28/183.26 (P20(x129731,x129731,f5(x129731),x129732)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(12984,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x129841,a870)),f196(f882(x129841,a870))),x129842))), % 183.28/183.26 inference(rename_variables,[],[3745])). % 183.28/183.26 cnf(12988,plain, % 183.28/183.26 (E(f333(f264(x129881,x129881),f265(x129881,x129882)),x129882)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(12992,plain, % 183.28/183.26 (~P23(f333(f333(f335(x129921),x129922),f196(f882(x129921,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(12996,plain, % 183.28/183.26 (P23(f333(f333(f335(x129961),f333(x129962,x129963)),f333(f312(x129964,x129961,x129962),f256(f882(x129964,a870)))))), % 183.28/183.26 inference(rename_variables,[],[3905])). % 183.28/183.26 cnf(12997,plain, % 183.28/183.26 (P20(x129971,x129971,f5(x129971),x129972)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(13000,plain, % 183.28/183.26 (P23(f333(f333(f335(x130001),x130002),f256(f882(x130001,a870))))), % 183.28/183.26 inference(rename_variables,[],[3447])). % 183.28/183.26 cnf(13007,plain, % 183.28/183.26 (~P23(f333(f333(f335(x130071),x130072),f196(f882(x130071,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13010,plain, % 183.28/183.26 (~P23(f333(f333(f335(x130101),x130102),f196(f882(x130101,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13014,plain, % 183.28/183.26 (E(f333(f333(f16(x130141,x130142),x130143),x130144),x130143)), % 183.28/183.26 inference(rename_variables,[],[3277])). % 183.28/183.26 cnf(13017,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x130171),f333(a115,x130171)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(13018,plain, % 183.28/183.26 (~E(f333(a115,x130181),x130181)), % 183.28/183.26 inference(rename_variables,[],[4479])). % 183.28/183.26 cnf(13021,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x130211),f333(a115,f333(f333(f79(a875),x130212),x130211))))), % 183.28/183.26 inference(rename_variables,[],[3747])). % 183.28/183.26 cnf(13022,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x130221),f333(a115,x130221)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(13024,plain, % 183.28/183.26 (~E(f333(f333(f80(a875),f333(a115,f2(a875))),f32(x130241,x130242)),f333(f333(f80(a875),f333(a115,f2(a875))),f31(x130243,x130244)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2994,2997,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,4550,10994,11064,11288,11291,3696,3272,3394,3618,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,3749,11598,3270,3369,11716,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,3888,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,4001,11003,12091,12164,12221,12265,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691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% 183.28/183.26 cnf(13026,plain, % 183.28/183.26 (~E(f333(a115,x130261),x130261)), % 183.28/183.26 inference(rename_variables,[],[4479])). % 183.28/183.26 cnf(13031,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),f2(a1)),f333(f103(a1),x130311)))), % 183.28/183.26 inference(rename_variables,[],[3389])). % 183.28/183.26 cnf(13034,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f2(a875)),x130341))), % 183.28/183.26 inference(rename_variables,[],[3310])). % 183.28/183.26 cnf(13035,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x130351),x130351))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(13038,plain, % 183.28/183.26 (~E(f333(a115,x130381),f2(a875))), % 183.28/183.26 inference(rename_variables,[],[4489])). % 183.28/183.26 cnf(13047,plain, % 183.28/183.26 (~P23(f333(f333(f335(x130471),x130472),f196(f882(x130471,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13050,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x130501,x130502)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(13051,plain, % 183.28/183.26 (E(f333(f333(f245(a875),f333(a115,x130511)),f333(a115,x130512)),f333(a115,f333(f333(f245(a875),x130511),x130512)))), % 183.28/183.26 inference(rename_variables,[],[3464])). % 183.28/183.26 cnf(13054,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x130541,x130542)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(13055,plain, % 183.28/183.26 (E(f333(f333(f246(a875),f333(a115,x130551)),f333(a115,x130552)),f333(a115,f333(f333(f246(a875),x130551),x130552)))), % 183.28/183.26 inference(rename_variables,[],[3465])). % 183.28/183.26 cnf(13058,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x130581,x130582)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(13062,plain, % 183.28/183.26 (P23(f333(f61(a875),f306(a875,x130621,x130622)))), % 183.28/183.26 inference(rename_variables,[],[3503])). % 183.28/183.26 cnf(13066,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x130661,a870)),f333(f174(x130661),f333(f137(x130661,x130662),x130663))),f333(f174(x130661),x130663)))), % 183.28/183.26 inference(rename_variables,[],[3950])). % 183.28/183.26 cnf(13067,plain, % 183.28/183.26 (E(f333(f333(f16(x130671,x130672),x130673),x130674),x130673)), % 183.28/183.26 inference(rename_variables,[],[3277])). % 183.28/183.26 cnf(13070,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x130701,a870)),f333(f174(x130701),f333(f333(f177(x130701),x130702),x130703))),f333(f174(x130701),x130703)))), % 183.28/183.26 inference(rename_variables,[],[3995])). % 183.28/183.26 cnf(13071,plain, % 183.28/183.26 (E(f333(f333(f16(x130711,x130712),x130713),x130714),x130713)), % 183.28/183.26 inference(rename_variables,[],[3277])). % 183.28/183.26 cnf(13075,plain, % 183.28/183.26 (E(f333(f333(f16(x130751,x130752),x130753),x130754),x130753)), % 183.28/183.26 inference(rename_variables,[],[3277])). % 183.28/183.26 cnf(13088,plain, % 183.28/183.26 (P23(f333(f333(f247(a1),f2(a1)),f333(f103(a1),x130881)))), % 183.28/183.26 inference(rename_variables,[],[3389])). % 183.28/183.26 cnf(13091,plain, % 183.28/183.26 (~P23(f333(f333(f335(x130911),x130912),f196(f882(x130911,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13094,plain, % 183.28/183.26 (~P23(f333(f333(f335(x130941),x130942),f196(f882(x130941,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13095,plain, % 183.28/183.26 (E(f333(f264(x130951,x130951),f265(x130951,x130952)),x130952)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(13096,plain, % 183.28/183.26 (P20(x130961,x130961,f5(x130961),x130962)), % 183.28/183.26 inference(rename_variables,[],[3532])). % 183.28/183.26 cnf(13100,plain, % 183.28/183.26 (E(f333(f264(x131001,x131001),f265(x131001,x131002)),x131002)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(13106,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x131061),f333(a115,x131061)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(13108,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x131081),x131081))), % 183.28/183.26 inference(rename_variables,[],[3288])). % 183.28/183.26 cnf(13109,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f2(a875)),x131091))), % 183.28/183.26 inference(rename_variables,[],[3310])). % 183.28/183.26 cnf(13112,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x131121),f333(a115,x131121)))), % 183.28/183.26 inference(rename_variables,[],[3357])). % 183.28/183.26 cnf(13115,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f2(a875)),x131151))), % 183.28/183.26 inference(rename_variables,[],[3310])). % 183.28/183.26 cnf(13119,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f2(a875)),x131191))), % 183.28/183.26 inference(rename_variables,[],[3310])). % 183.28/183.26 cnf(13120,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),f2(a875)),f333(a115,x131201)))), % 183.28/183.26 inference(rename_variables,[],[3369])). % 183.28/183.26 cnf(13121,plain, % 183.28/183.26 (E(f333(f264(x131211,x131211),f265(x131211,x131212)),x131212)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(13124,plain, % 183.28/183.26 (P23(f333(f47(f333(f264(x131241,x131241),f265(x131241,f333(f333(f79(a875),f333(f333(f80(a875),f333(f267(a875,a875),f333(f333(f268(a875,a875),f2(a875)),x131242))),f333(a115,f333(f333(f79(a875),x131243),f333(f271(a875,a875),f333(f333(f268(a875,a875),f2(a875)),x131242)))))),f333(f271(a875,a875),f333(f333(f268(a875,a875),f2(a875)),x131242))))),f333(a115,f333(f333(f79(a875),x131243),f333(f271(a875,a875),f333(f333(f268(a875,a875),f2(a875)),x131242))))),f333(f333(f268(a875,a875),f2(a875)),x131242)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870])). % 183.28/183.26 cnf(13140,plain, % 183.28/183.26 (E(f333(f333(f79(a875),f2(a875)),f805(f333(a115,f2(a875)),f2(a875))),f2(a875))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658])). % 183.28/183.26 cnf(13192,plain, % 183.28/183.26 (P23(f333(f333(f248(a1),f2(a1)),f333(f74(a1),f77(a1))))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671])). % 183.28/183.26 cnf(13208,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),f333(a115,f333(f333(f79(a875),x132081),x132082))),f333(a115,x132082)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671,5672,5698,5702,5760,5762,5771,5777,5849])). % 183.28/183.26 cnf(13212,plain, % 183.28/183.26 (~E(f333(f190(x132121,f882(x132122,a870),x132123,f196(f882(x132121,a870))),x132124),f333(f240(f882(x132122,a870)),f333(f333(f41(f44(a1,x132125,x132125),f882(x132122,a870)),x132126),a115)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671,5672,5698,5702,5760,5762,5771,5777,5849,5925,6053])). % 183.28/183.26 cnf(13216,plain, % 183.28/183.26 (~P23(f333(f61(x132161),f39(f882(x132161,a870),f256(f882(f882(x132161,a870),a870)))))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671,5672,5698,5702,5760,5762,5771,5777,5849,5925,6053,6076,6240])). % 183.28/183.26 cnf(13228,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),f2(a875)),f196(a875)))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671,5672,5698,5702,5760,5762,5771,5777,5849,5925,6053,6076,6240,6360,6514,6716,6717,6934,6973])). % 183.28/183.26 cnf(13266,plain, % 183.28/183.26 (~P23(f333(f333(f247(a875),f333(a115,f333(f143(a875,a875,f79(a875),f2(a875)),f171(a875,f333(a115,f2(a875)),f333(a115,f2(a875)))))),f333(a115,f2(a875))))), % 183.28/183.26 inference(scs_inference,[],[4571,3532,11059,12094,12191,12286,12322,12330,12343,12398,12520,12522,12945,12955,12960,12964,12970,12973,12997,13096,3541,12158,12594,12596,3542,12225,3254,12567,12569,3255,12574,3220,12471,4512,4513,11678,4254,12600,12603,3258,12609,3097,3154,12516,4497,3594,4479,10212,10222,10235,10246,10249,10352,10355,10358,10461,10572,10880,11044,11047,11245,11332,11339,11353,11405,11408,11452,11518,11565,11581,11880,11905,11917,11946,11952,12047,12154,12161,12314,12368,12502,12620,13018,13026,4494,10445,10536,3345,3308,12580,3501,3201,4489,12688,13038,2885,2886,2890,2891,2893,2894,2902,2903,2904,2905,2906,2910,2911,2920,2926,2929,2930,2937,2947,2948,2950,2951,2952,2954,2955,2958,2959,2960,2962,2965,2969,2971,2972,2985,2994,2997,2998,3001,3002,3003,3012,3025,3026,3028,3034,3035,3044,3045,3046,3047,3054,3061,4474,3076,3153,4475,3633,3866,11612,3129,11329,3268,3241,3244,10215,10284,10287,10379,10382,10675,11344,11347,11463,11505,11510,11607,12068,12262,12451,12504,12506,12530,12532,12534,12536,12538,12544,12546,12552,12820,12988,13095,13100,13121,3879,3215,12346,12350,12354,3221,3229,3756,3356,12401,12474,3998,3118,3119,4491,3495,3851,11379,3344,12557,3180,3663,3145,3671,12584,3140,3972,3161,3676,3126,3127,3107,3769,3160,3346,10827,12155,3213,3214,3393,4561,10415,3938,4504,10275,10442,11242,12310,12347,12351,4511,12318,3277,11701,11704,12914,13014,13067,13071,13075,4550,10994,11064,11288,11291,3696,3272,3394,3618,3386,3360,12555,3175,10344,10651,3176,4538,3452,3168,3098,3282,3197,11369,4086,12333,12463,3940,11000,11126,11177,12294,12300,12412,12415,12438,4574,10932,11131,11236,11258,11296,11302,12241,4575,11033,11134,11239,11299,4576,11137,11188,4577,11191,4578,3196,3493,12194,12238,12317,3659,4370,4371,3475,4502,11360,3596,3636,3814,3563,12803,12807,12811,12815,12825,3861,12188,3478,3738,3357,10363,10481,10550,10611,10614,10654,10748,10984,11876,11939,12018,12059,12120,12123,12442,12626,12684,12715,12727,12786,12842,12848,13017,13022,13106,13112,3749,11598,3270,3369,11716,12619,13120,3557,4544,10252,10255,10281,10756,10769,10890,11280,11372,11765,11773,11994,11997,12085,12244,12337,12631,12634,12651,12654,12676,12728,12892,12897,12921,12926,4556,11482,11513,11548,11578,12737,12741,3736,3502,3503,12657,12660,12663,12666,12696,12699,13050,13054,13058,13062,3888,3464,13051,3465,13055,3316,3317,3291,4541,3174,4499,3687,4224,4007,3485,4557,4080,11253,3617,3329,11725,11728,12165,12266,12422,4049,4006,11869,12209,3950,10824,12053,12222,12445,13066,3995,13070,4001,11003,12091,12164,12221,12265,12917,4002,3660,11879,12025,12099,12145,4038,3678,11006,11069,11150,11210,12046,12113,12363,12435,12448,12954,12959,4562,10772,11142,12967,3287,10372,10468,10597,10661,11455,11672,11719,11753,11849,11904,12106,3288,10730,10775,10778,10811,10837,10874,10912,10948,11920,11923,11926,11929,12126,12129,12132,12135,12202,12374,12418,12677,12702,12775,12782,12789,12794,12797,12800,12833,12845,12863,12907,12932,12935,13035,13108,3289,10401,10456,10666,10751,10877,11561,11756,11768,11855,11866,11887,11892,11932,11957,11972,12693,12839,12866,12893,12898,12922,3290,3365,12079,12757,12804,12808,12812,12816,12826,12830,4540,10318,10410,10521,10545,10793,10840,10850,11527,11626,11647,11650,11653,11669,11811,11814,11817,11820,11916,11935,11938,11951,12006,12009,12012,12015,12086,12176,12179,12272,12275,12336,12367,12404,12483,3447,10617,10885,10929,11199,11277,11440,11681,12313,12486,12880,12949,13000,4552,10802,10814,10921,10939,10942,10997,11083,11091,11107,11145,11162,11171,11207,11248,11268,11271,11274,11305,11312,11315,11698,11734,12000,12003,12037,12080,12109,12250,12291,12297,12386,12389,12408,12462,12468,12477,12496,12756,12769,12772,12869,12950,12992,13007,13010,13047,13091,13094,3350,10648,10678,10687,11228,11780,12405,12419,12738,12742,12745,3389,13031,13088,3383,3818,3754,10321,11601,11629,12720,4549,10272,10642,10645,11086,11104,11564,11617,11661,11682,11786,11823,11826,11829,11832,12938,3310,10681,10834,10905,11630,11785,11977,12203,12766,13034,13109,13115,13119,3779,11731,12673,4130,3508,4547,3790,3826,4530,4532,4533,3261,3262,4531,4534,4535,4307,3797,3607,11594,4230,11462,4564,10240,10243,10502,10553,10556,10561,10971,11434,11685,11789,4572,11165,11285,11321,4015,12233,3905,11318,11656,11660,11722,12321,12329,12411,12687,12944,12996,3743,10945,10951,10966,11901,12030,12112,12382,3592,11168,12138,12247,12257,12326,12377,12385,12493,12886,3631,4084,3745,10684,11022,11174,11204,11215,12050,12215,12325,12371,12984,3560,10603,10606,10690,10864,3559,4568,11595,4558,4563,12641,4569,10741,10843,11153,11437,11468,12197,12206,12253,12432,4190,10817,12218,12230,12256,4091,3778,12499,3722,3723,4566,10294,10297,10636,10639,11479,11657,12441,4567,11575,11666,3747,10600,10861,13021,4022,4589,4615,4664,4666,4697,4714,4721,4722,4758,4763,4793,4799,4883,4907,4908,4923,4945,4970,4971,4993,4994,5007,5011,5034,5040,5056,5059,5060,5061,5066,5067,5089,5114,5115,5125,5130,5136,5173,5174,5182,5191,5196,5198,5209,5211,5217,5221,5222,5235,5242,5245,5246,5247,5251,5287,5300,5308,5310,5311,5315,5316,5317,5325,5328,5332,5333,5334,5341,5345,5346,5347,5355,5359,5360,5361,5366,5379,5388,5400,5402,5410,5411,5415,5419,5444,5450,5460,5461,5476,5488,5510,5516,5534,5535,5538,5557,5565,5566,5571,5572,5582,5584,5596,5600,5609,5610,5612,5627,5632,5642,5643,5655,5662,5676,5680,5683,5689,5690,5691,5694,5699,5735,5736,5739,5741,5744,5745,5746,5748,5750,5752,5757,5764,5779,5793,5798,5799,5812,5813,5818,5822,5824,5829,5870,5882,5891,5895,5904,5908,5909,5917,5931,5937,5955,5958,5970,5997,6011,6036,6056,6057,6060,6075,6077,6078,6080,6093,6094,6097,6099,6102,6103,6115,6121,6122,6123,6125,6127,6164,6165,6170,6173,6179,6183,6219,6221,6223,6225,6234,6236,6238,6244,6246,6252,6255,6263,6270,6271,6272,6277,6299,6300,6301,6303,6309,6314,6348,6349,6353,6354,6355,6356,6357,6358,6359,6366,6399,6400,6409,6430,6431,6451,6453,6464,6465,6471,6501,6503,6517,6555,6557,6558,6611,6636,6678,6698,6707,6708,6709,6710,6729,6730,6736,6749,6752,6754,6756,6757,6758,6760,6774,6785,6787,6788,6801,6805,6856,6867,6869,6873,6890,6891,6927,6939,6970,6989,7004,7058,7086,7141,7162,7171,7174,7229,7237,7295,7297,7312,7320,7323,7324,7343,7349,7351,7400,7410,7413,7429,7481,7482,7486,7530,7531,7549,7616,7635,7658,7682,7697,7713,7723,7732,7733,7762,7765,7767,7777,7815,7826,7851,7909,7943,7976,8023,8039,8055,8056,8131,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8438,8449,8451,8466,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8580,8582,8594,8598,8600,8601,8602,8610,8615,8642,8643,8674,8687,8691,8709,8731,8732,8733,8734,8746,8747,8769,8779,8789,8790,8791,8792,8794,8816,8817,8828,8872,8878,8884,8897,8902,8904,8907,8908,8912,8922,9004,9035,9036,9037,9052,9069,9075,9103,9104,9145,9148,9174,9219,9220,9221,9236,9261,9275,9281,9284,9306,9307,9335,9397,9432,9433,9434,9459,9460,9478,9496,9502,9516,9539,9561,9569,9570,9571,9572,9587,9589,9594,9625,9626,9632,9633,9677,9678,9709,9718,9728,9730,9731,9740,9754,9757,9785,9818,9820,9824,9881,9922,9923,9925,9935,9936,9956,9961,10002,10054,10126,10127,10180,10196,2,8,9,4602,4603,4621,4652,4654,4655,4683,4689,4690,4701,4750,4752,4784,4798,4828,4924,4925,4938,4958,5014,5015,5018,5019,5021,5023,5024,5033,5036,5037,5045,5057,5058,5064,5084,5085,5102,5107,5108,5109,5110,5113,5121,5124,5131,5188,5194,5195,5203,5232,5243,5249,5265,5285,5286,5293,5294,5295,5304,5314,5321,5323,5324,5330,5337,5338,5351,5352,5353,5354,5356,5357,5362,5363,5364,5365,5396,5397,5398,5406,5407,5408,5409,5455,5457,5459,5495,5497,5498,5500,5501,5503,5504,5506,5515,5520,5522,5523,5524,5525,5526,5527,5536,5546,5549,5560,5576,5577,5580,5590,5592,5593,5594,5619,5629,5645,5646,5656,5657,5659,5661,5666,5701,5706,5708,5766,5800,5801,5805,5811,5814,5815,5816,5817,5823,5834,5835,5837,5838,5846,5867,5896,5912,5915,5916,5918,5927,5948,5949,5950,5953,5954,5972,5983,5984,6013,6014,6018,6038,6041,6045,6064,6069,6070,6095,6098,6106,6114,6120,6124,6131,6132,6133,6134,6167,6184,6237,6273,6275,6296,6297,6302,6305,6306,6310,6316,6325,6341,6361,6362,6367,6377,6392,6412,6418,6420,6435,6436,6439,6440,6442,6444,6445,6446,6448,6450,6452,6458,6459,6460,6461,6467,6469,6511,6516,6531,6532,6533,6534,6569,6574,6576,6581,6582,6590,6594,6607,6632,6633,6634,6635,6646,6651,6668,6672,6691,6724,6725,6726,6731,6745,6766,6768,6770,6772,6775,6781,6783,6798,6803,6806,6842,6845,6846,6859,6860,6861,6862,6881,6882,6899,6925,6947,6958,6960,6961,6963,6965,6966,7001,7002,7007,7008,7009,7010,7012,7014,7039,7048,7049,7061,7071,7110,7120,7124,7131,7142,7148,7150,7156,7164,7165,7178,7195,7213,7215,7232,7281,7283,7284,7285,7291,7296,7319,7364,7397,7411,7428,7461,7464,7490,7514,7532,7535,7536,7546,7564,7565,7567,7569,7571,7573,7599,7624,7625,7657,7659,7660,7661,7666,7689,7698,7709,7714,7720,7722,7728,7740,7741,7743,7775,7798,7864,7865,7912,7920,7921,7945,7946,7963,7964,8031,8032,8033,8058,8091,8098,8100,8109,8121,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8452,8453,8456,8458,8561,8562,8563,8564,8589,8618,8646,8690,8708,8763,8809,8812,8825,8832,8869,8890,8918,8919,8937,8938,9077,9081,9101,9111,9134,9136,9139,9143,9146,9147,9160,9161,9181,9187,9199,9247,9265,9319,9320,9327,9389,9394,9429,9436,9439,9442,9443,9458,9474,9483,9495,9505,9506,9509,9511,9537,9660,9704,9705,9747,9792,9908,9965,10030,10105,10118,10123,3,2623,2626,2627,2628,2629,2632,2633,2634,2638,2640,2642,2643,2647,2648,2649,2650,2652,2657,2658,2661,2662,2664,2686,2687,2688,2689,2695,2703,2704,2706,2707,2710,2720,2722,2733,2734,2735,2736,2737,2738,2742,2743,2744,2746,2747,2748,2749,2750,2751,2763,2764,2765,2768,2772,2774,2788,2790,2791,2797,2800,2801,2802,2806,2807,2817,2819,2821,2832,2833,2868,5224,5284,5382,5463,5469,5470,5547,5644,5675,5709,5725,5727,5733,5794,5795,5796,5797,5803,5836,5967,6012,6035,6072,6112,6253,6260,6294,6295,6315,6318,6320,6327,6328,6329,6330,6331,6332,6333,6334,6414,6481,6482,6567,6601,6602,6643,6644,6782,6797,6870,6871,6878,6900,6931,6933,6980,7005,7006,7022,7023,7024,7060,7104,7105,7202,7263,7264,7265,7266,7280,7313,7369,7370,7379,7385,7387,7399,7431,7432,7433,7434,7579,7580,7586,7587,7589,7591,7806,7808,7809,7824,7862,7941,7984,8042,8063,8064,8079,8138,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8650,8862,8886,8887,8969,8983,9038,9039,9155,9191,9214,9248,9289,9481,9741,9934,9990,9992,6030,6397,6398,6484,6504,6505,6922,7140,8575,8608,8802,8995,8996,9066,9067,9337,9338,9339,9340,9540,9812,10114,10165,10166,6466,8402,8403,8852,8870,9813,10164,4656,4658,4659,4715,4723,4861,4877,4878,4905,4906,4937,4992,5052,5111,5161,5181,5218,5220,5227,5228,5254,5329,5350,5484,5552,5553,5554,5671,5672,5698,5702,5760,5762,5771,5777,5849,5925,6053,6076,6240,6360,6514,6716,6717,6934,6973,7146,7371,7440,7782,7784,7878,8040,8810,8966,9070,9303,9575,4891,4939,5077,5664,5899])). % 183.28/183.26 cnf(13348,plain, % 183.28/183.26 (~P23(f333(f333(f335(a875),x133481),f333(f254(a875),f2(a875))))), % 183.28/183.26 inference(rename_variables,[],[11746])). % 183.28/183.26 cnf(13365,plain, % 183.28/183.26 (E(f333(f333(f135(x133651),x133652),f116(x133651)),x133652)), % 183.28/183.26 inference(rename_variables,[],[3215])). % 183.28/183.26 cnf(13372,plain, % 183.28/183.26 (E(f333(x133721,f710(f333(x133721,x133722),f333(f240(x133723),x133722),x133721,x133724,x133723)),f333(x133721,x133722))), % 183.28/183.26 inference(rename_variables,[],[11117])). % 183.28/183.26 cnf(13387,plain, % 183.28/183.26 (~P23(f333(f333(f335(f881(f876(x133871),f876(x133871))),f333(f333(f268(f876(x133871),f876(x133871)),x133872),f116(x133871))),f148(x133871,x133873)))), % 183.28/183.26 inference(rename_variables,[],[4575])). % 183.28/183.26 cnf(13390,plain, % 183.28/183.26 (~E(f333(f333(f104(a875),f333(a115,x133901)),x133901),f333(a115,x133901))), % 183.28/183.26 inference(rename_variables,[],[11498])). % 183.28/183.26 cnf(13401,plain, % 183.28/183.26 (P23(f333(f333(f248(a875),x134011),f333(f333(f80(a875),f333(a115,x134011)),f333(a115,x134011))))), % 183.28/183.26 inference(rename_variables,[],[10602])). % 183.28/183.26 cnf(13404,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x134041),f333(f333(f79(a875),x134041),x134042)))), % 183.28/183.26 inference(rename_variables,[],[3559])). % 183.28/183.26 cnf(13411,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x134111),x134112)),x134112))), % 183.28/183.26 inference(rename_variables,[],[4566])). % 183.28/183.26 cnf(13416,plain, % 183.28/183.26 (E(f333(f264(x134161,x134161),f265(x134161,x134162)),x134162)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(13424,plain, % 183.28/183.26 (E(f333(f264(x134241,x134241),f265(x134241,x134242)),x134242)), % 183.28/183.26 inference(rename_variables,[],[3244])). % 183.28/183.26 cnf(13435,plain, % 183.28/183.26 (E(f333(f333(f135(x134351),x134352),f116(x134351)),x134352)), % 183.28/183.26 inference(rename_variables,[],[3215])). % 183.28/183.26 cnf(13438,plain, % 183.28/183.26 (~P23(f333(f333(f335(a875),x134381),f333(f254(a875),f2(a875))))), % 183.28/183.26 inference(rename_variables,[],[11746])). % 183.28/183.26 cnf(13443,plain, % 183.28/183.26 (~P23(f333(f333(f335(a875),x134431),f333(f254(a875),f2(a875))))), % 183.28/183.26 inference(rename_variables,[],[11746])). % 183.28/183.26 cnf(13451,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x134511,a870)),x134512),f333(f333(f113(f882(x134511,a870)),x134513),f256(f882(x134511,a870)))))), % 183.28/183.26 inference(rename_variables,[],[11149])). % 183.28/183.26 cnf(13456,plain, % 183.28/183.26 (P23(f333(f333(f248(a1),f333(f333(f22(a1),x134561),f77(a1))),x134561))), % 183.28/183.26 inference(rename_variables,[],[10750])). % 183.28/183.26 cnf(13474,plain, % 183.28/183.26 (~E(f333(a115,x134741),f2(a875))), % 183.28/183.26 inference(rename_variables,[],[4489])). % 183.28/183.26 cnf(13489,plain, % 183.28/183.26 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x134891),x134892)),x134891))), % 183.28/183.26 inference(rename_variables,[],[4567])). % 183.28/183.26 cnf(13492,plain, % 183.28/183.26 (~P23(f333(f333(f335(x134921),x134922),f196(f882(x134921,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13495,plain, % 183.28/183.26 (~E(f333(f333(f104(a875),f333(a115,x134951)),x134951),f333(a115,x134951))), % 183.28/183.26 inference(rename_variables,[],[11498])). % 183.28/183.26 cnf(13503,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x135031,a870)),f333(f174(x135031),f178(x135031,x135032,x135033))),f333(f174(x135031),x135032)))), % 183.28/183.26 inference(rename_variables,[],[4001])). % 183.28/183.26 cnf(13508,plain, % 183.28/183.26 (~P23(f333(f333(f335(x135081),x135082),f196(f882(x135081,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13515,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),f44(a875,x135151,x135152)),x135151))), % 183.28/183.26 inference(rename_variables,[],[3754])). % 183.28/183.26 cnf(13524,plain, % 183.28/183.26 (~P23(f333(f333(f247(a875),f333(a115,x135241)),x135241))), % 183.28/183.26 inference(rename_variables,[],[4549])). % 183.28/183.26 cnf(13533,plain, % 183.28/183.26 (P23(f333(f333(f248(a1),f333(f333(f22(a1),x135331),f77(a1))),x135331))), % 183.28/183.26 inference(rename_variables,[],[10750])). % 183.28/183.26 cnf(13544,plain, % 183.28/183.26 (~P23(f333(f333(f335(f881(x135441,x135441)),x135442),f265(x135441,f196(f882(x135441,a870)))))), % 183.28/183.26 inference(rename_variables,[],[10938])). % 183.28/183.26 cnf(13549,plain, % 183.28/183.26 (~P23(f333(f333(f247(a875),f333(a115,x135491)),x135491))), % 183.28/183.26 inference(rename_variables,[],[4549])). % 183.28/183.26 cnf(13552,plain, % 183.28/183.26 (~P23(f333(f333(f335(x135521),x135522),f333(f313(x135521,x135523,x135524),f196(f882(x135523,a870)))))), % 183.28/183.26 inference(rename_variables,[],[10941])). % 183.28/183.26 cnf(13557,plain, % 183.28/183.26 (~P23(f333(f333(f247(a875),f333(f333(f80(a875),f333(a115,x135571)),f333(a115,x135571))),x135571))), % 183.28/183.26 inference(rename_variables,[],[10689])). % 183.28/183.26 cnf(13566,plain, % 183.28/183.26 (~P23(f333(f333(f335(x135661),x135662),f333(f313(x135661,x135663,x135664),f196(f882(x135663,a870)))))), % 183.28/183.26 inference(rename_variables,[],[10941])). % 183.28/183.26 cnf(13571,plain, % 183.28/183.26 (~P23(f333(f333(f335(a875),x135711),f333(f254(a875),f2(a875))))), % 183.28/183.26 inference(rename_variables,[],[11746])). % 183.28/183.26 cnf(13590,plain, % 183.28/183.26 (~E(f333(f333(f152(x135901),x135902),x135903),x135903)), % 183.28/183.26 inference(rename_variables,[],[4504])). % 183.28/183.26 cnf(13606,plain, % 183.28/183.26 (~E(f333(f333(f152(x136061),x136062),x136063),x136063)), % 183.28/183.26 inference(rename_variables,[],[4504])). % 183.28/183.26 cnf(13614,plain, % 183.28/183.26 (P23(f333(f333(f247(a875),x136141),f333(f333(f80(a875),x136141),x136141)))), % 183.28/183.26 inference(rename_variables,[],[3560])). % 183.28/183.26 cnf(13617,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x136171,a870)),x136172),x136172))), % 183.28/183.26 inference(rename_variables,[],[3592])). % 183.28/183.26 cnf(13620,plain, % 183.28/183.26 (~E(f333(f333(f152(x136201),x136202),x136203),x136203)), % 183.28/183.26 inference(rename_variables,[],[4504])). % 183.28/183.26 cnf(13623,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x136231,a870)),x136232),x136232))), % 183.28/183.26 inference(rename_variables,[],[3592])). % 183.28/183.26 cnf(13626,plain, % 183.28/183.26 (~P23(f333(f333(f335(x136261),x136262),f196(f882(x136261,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13636,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x136361,a870)),f333(f174(x136361),f178(x136361,x136362,x136363))),f333(f174(x136361),x136362)))), % 183.28/183.26 inference(rename_variables,[],[4001])). % 183.28/183.26 cnf(13639,plain, % 183.28/183.26 (P23(f333(f333(f247(f882(x136391,a870)),x136392),f333(f333(f311(x136391),x136393),x136392)))), % 183.28/183.26 inference(rename_variables,[],[3743])). % 183.28/183.26 cnf(13646,plain, % 183.28/183.26 (~P23(f333(f333(f335(x136461),x136462),f196(f882(x136461,a870))))), % 183.28/183.26 inference(rename_variables,[],[4552])). % 183.28/183.26 cnf(13651,plain, % 183.28/183.27 (~P34(x136511,x136512,x136513,f333(f333(f155(x136514,x136511),x136515),f333(a115,f116(x136514))),f116(x136512))), % 183.28/183.27 inference(rename_variables,[],[11179])). % 183.28/183.27 cnf(13658,plain, % 183.28/183.27 (~P23(f333(f333(f335(a875),x136581),f333(f254(a875),f2(a875))))), % 183.28/183.27 inference(rename_variables,[],[11746])). % 183.28/183.27 cnf(13661,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x136611,x136611)),x136612),f265(x136611,f196(f882(x136611,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(13672,plain, % 183.28/183.27 (~P23(f333(f333(f196(f882(x136721,f882(x136722,a870))),x136723),x136724))), % 183.28/183.27 inference(rename_variables,[],[4569])). % 183.28/183.27 cnf(13675,plain, % 183.28/183.27 (~P23(f333(f333(f247(a875),f333(a115,x136751)),x136751))), % 183.28/183.27 inference(rename_variables,[],[4549])). % 183.28/183.27 cnf(13680,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),f2(a875)),x136801))), % 183.28/183.27 inference(rename_variables,[],[3310])). % 183.28/183.27 cnf(13683,plain, % 183.28/183.27 (~P23(f333(f333(f335(x136831),x136832),f196(f882(x136831,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13686,plain, % 183.28/183.27 (~P23(f333(f333(f335(x136861),x136862),f196(f882(x136861,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13689,plain, % 183.28/183.27 (~P23(f333(f333(f335(x136891),x136892),f196(f882(x136891,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13692,plain, % 183.28/183.27 (~E(f333(f333(f152(x136921),x136922),x136923),x136923)), % 183.28/183.27 inference(rename_variables,[],[4504])). % 183.28/183.27 cnf(13697,plain, % 183.28/183.27 (P23(f333(f333(f248(a1),f333(f333(f22(a1),x136971),f77(a1))),x136971))), % 183.28/183.27 inference(rename_variables,[],[10750])). % 183.28/183.27 cnf(13707,plain, % 183.28/183.27 (P23(f333(f333(f335(x137071),f333(x137072,x137073)),f333(f312(x137074,x137071,x137072),f256(f882(x137074,a870)))))), % 183.28/183.27 inference(rename_variables,[],[3905])). % 183.28/183.27 cnf(13713,plain, % 183.28/183.27 (~P23(f333(f333(f196(f882(x137131,f882(x137132,a870))),x137133),x137134))), % 183.28/183.27 inference(rename_variables,[],[4569])). % 183.28/183.27 cnf(13720,plain, % 183.28/183.27 (P23(f333(f333(f335(f881(x137201,x137201)),f333(f333(f268(x137201,x137201),x137202),x137202)),f309(x137201,x137203)))), % 183.28/183.27 inference(rename_variables,[],[3940])). % 183.28/183.27 cnf(13723,plain, % 183.28/183.27 (~E(f333(f333(f152(x137231),x137232),x137233),x137233)), % 183.28/183.27 inference(rename_variables,[],[4504])). % 183.28/183.27 cnf(13728,plain, % 183.28/183.27 (~P23(f333(f333(f196(f882(x137281,f882(x137282,a870))),x137283),x137284))), % 183.28/183.27 inference(rename_variables,[],[4569])). % 183.28/183.27 cnf(13733,plain, % 183.28/183.27 (E(f333(f264(x137331,x137331),f265(x137331,x137332)),x137332)), % 183.28/183.27 inference(rename_variables,[],[3244])). % 183.28/183.27 cnf(13736,plain, % 183.28/183.27 (~E(f333(f333(f152(x137361),x137362),x137363),x137363)), % 183.28/183.27 inference(rename_variables,[],[4504])). % 183.28/183.27 cnf(13739,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x137391),x137391))), % 183.28/183.27 inference(rename_variables,[],[3288])). % 183.28/183.27 cnf(13742,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x137421,x137421)),x137422),f265(x137421,f196(f882(x137421,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(13745,plain, % 183.28/183.27 (~P23(f333(f333(f335(x137451),x137452),f196(f882(x137451,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13750,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x137501),f333(f333(f80(a875),x137501),x137501)))), % 183.28/183.27 inference(rename_variables,[],[3560])). % 183.28/183.27 cnf(13757,plain, % 183.28/183.27 (~P23(f333(f333(f335(x137571),x137572),f333(f313(x137571,x137573,x137574),f196(f882(x137573,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10941])). % 183.28/183.27 cnf(13765,plain, % 183.28/183.27 (P23(f333(f333(f248(a875),x137651),f333(a115,f333(f333(f79(a875),x137652),x137651))))), % 183.28/183.27 inference(rename_variables,[],[3747])). % 183.28/183.27 cnf(13768,plain, % 183.28/183.27 (~P23(f333(f333(f335(a875),x137681),f333(f254(a875),f2(a875))))), % 183.28/183.27 inference(rename_variables,[],[11746])). % 183.28/183.27 cnf(13771,plain, % 183.28/183.27 (P23(f333(f333(f247(a1),x137711),x137711))), % 183.28/183.27 inference(rename_variables,[],[3289])). % 183.28/183.27 cnf(13776,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x137761,x137761)),x137762),f265(x137761,f196(f882(x137761,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(13787,plain, % 183.28/183.27 (~P23(f333(f333(f335(x137871),x137872),f196(f882(x137871,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13790,plain, % 183.28/183.27 (~P23(f333(f333(f335(x137901),x137902),f196(f882(x137901,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13805,plain, % 183.28/183.27 (P23(f333(f333(f247(f882(x138051,a870)),f333(f174(x138051),f178(x138051,x138052,x138053))),f333(f174(x138051),x138052)))), % 183.28/183.27 inference(rename_variables,[],[4001])). % 183.28/183.27 cnf(13833,plain, % 183.28/183.27 (P23(f333(f333(f247(f882(x138331,a870)),f333(f174(x138331),f178(x138331,x138332,x138333))),f333(f174(x138331),x138332)))), % 183.28/183.27 inference(rename_variables,[],[4001])). % 183.28/183.27 cnf(13837,plain, % 183.28/183.27 (P23(f333(f333(f335(x138371),f333(x138372,x138373)),f333(f312(x138374,x138371,x138372),f256(f882(x138374,a870)))))), % 183.28/183.27 inference(rename_variables,[],[3905])). % 183.28/183.27 cnf(13840,plain, % 183.28/183.27 (~E(f333(f333(f152(x138401),x138402),x138403),x138403)), % 183.28/183.27 inference(rename_variables,[],[4504])). % 183.28/183.27 cnf(13843,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x138431),f333(f333(f80(a875),x138431),x138431)))), % 183.28/183.27 inference(rename_variables,[],[3560])). % 183.28/183.27 cnf(13876,plain, % 183.28/183.27 (E(f333(f264(x138761,x138761),f265(x138761,x138762)),x138762)), % 183.28/183.27 inference(rename_variables,[],[3244])). % 183.28/183.27 cnf(13887,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x138871,x138871)),x138872),f265(x138871,f196(f882(x138871,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(13890,plain, % 183.28/183.27 (~P23(f333(f333(f196(f882(x138901,f882(x138902,a870))),x138903),x138904))), % 183.28/183.27 inference(rename_variables,[],[4569])). % 183.28/183.27 cnf(13905,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(f876(x139051),f876(x139051))),f333(f333(f268(f876(x139051),f876(x139051)),f116(x139051)),x139052)),f158(x139051,x139053)))), % 183.28/183.27 inference(rename_variables,[],[4578])). % 183.28/183.27 cnf(13917,plain, % 183.28/183.27 (P23(f333(f333(f248(a1),f333(f333(f22(a1),x139171),f77(a1))),x139171))), % 183.28/183.27 inference(rename_variables,[],[10750])). % 183.28/183.27 cnf(13922,plain, % 183.28/183.27 (E(f333(f333(f135(x139221),x139222),f116(x139221)),x139222)), % 183.28/183.27 inference(rename_variables,[],[3215])). % 183.28/183.27 cnf(13936,plain, % 183.28/183.27 (~P23(f333(f333(f335(x139361),x139362),f196(f882(x139361,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(13943,plain, % 183.28/183.27 (~E(f333(f333(f152(x139431),x139432),x139433),x139433)), % 183.28/183.27 inference(rename_variables,[],[4504])). % 183.28/183.27 cnf(13952,plain, % 183.28/183.27 (P23(f333(f333(f335(x139521),f333(x139522,x139523)),f333(f312(x139524,x139521,x139522),f256(f882(x139524,a870)))))), % 183.28/183.27 inference(rename_variables,[],[3905])). % 183.28/183.27 cnf(13964,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x139641),x139641))), % 183.28/183.27 inference(rename_variables,[],[3288])). % 183.28/183.27 cnf(13970,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),f2(a875)),x139701))), % 183.28/183.27 inference(rename_variables,[],[3310])). % 183.28/183.27 cnf(13976,plain, % 183.28/183.27 (~P23(f333(f333(f196(f882(x139761,f882(x139762,a870))),x139763),x139764))), % 183.28/183.27 inference(rename_variables,[],[4569])). % 183.28/183.27 cnf(13981,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x139811),f333(f333(f79(a875),x139811),x139812)))), % 183.28/183.27 inference(rename_variables,[],[3559])). % 183.28/183.27 cnf(13987,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x139871),x139871))), % 183.28/183.27 inference(rename_variables,[],[3288])). % 183.28/183.27 cnf(13996,plain, % 183.28/183.27 (P23(f333(f333(f247(f882(x139961,a870)),f333(f174(x139961),f178(x139961,x139962,x139963))),f333(f174(x139961),x139962)))), % 183.28/183.27 inference(rename_variables,[],[4001])). % 183.28/183.27 cnf(14002,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x140021),f333(f333(f80(a875),x140021),x140021)))), % 183.28/183.27 inference(rename_variables,[],[3560])). % 183.28/183.27 cnf(14015,plain, % 183.28/183.27 (~P23(f333(f333(f335(x140151),x140152),f196(f882(x140151,a870))))), % 183.28/183.27 inference(rename_variables,[],[4552])). % 183.28/183.27 cnf(14075,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x140751,x140751)),x140752),f265(x140751,f196(f882(x140751,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(14081,plain, % 183.28/183.27 (P23(f333(f333(f247(a875),x140811),f333(f333(f79(a875),x140811),x140812)))), % 183.28/183.27 inference(rename_variables,[],[3559])). % 183.28/183.27 cnf(14097,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(f876(x140971),f876(x140971))),f333(f333(f268(f876(x140971),f876(x140971)),x140972),f116(x140971))),f146(x140971,x140973)))), % 183.28/183.27 inference(rename_variables,[],[4574])). % 183.28/183.27 cnf(14136,plain, % 183.28/183.27 (~P23(f333(f333(f335(f881(x141361,x141361)),x141362),f265(x141361,f196(f882(x141361,a870)))))), % 183.28/183.27 inference(rename_variables,[],[10938])). % 183.28/183.27 cnf(14154,plain, % 183.28/183.27 (~P23(f333(f333(f248(a875),f333(f333(f79(a875),x141541),x141542)),x141541))), % 183.28/183.27 inference(rename_variables,[],[4567])). % 183.28/183.27 cnf(14189,plain, % 183.28/183.27 ($false), % 183.28/183.27 inference(scs_inference,[],[3317,3316,3736,4049,3888,4086,3076,4568,3288,13739,13964,13987,4556,3291,3262,4541,3940,13720,3365,4574,14097,3383,3749,4552,13492,13508,13626,13646,13683,13686,13689,13745,13787,13790,13936,14015,3369,4001,13503,13636,13805,13833,13996,3905,13707,13837,13952,3778,4494,4489,13474,4504,13590,13606,13620,13692,13723,13736,13840,13943,4502,3270,4080,3289,13771,3754,13515,3310,13680,13970,3607,3743,13639,3592,13617,13623,3745,3560,13614,13750,13843,14002,3559,13404,13981,14081,4190,3747,13765,3244,13416,13424,13733,13876,3215,13365,13435,13922,3127,3239,4575,13387,4576,4578,13905,4540,4549,13524,13549,13675,4558,4563,4569,13672,13713,13728,13890,13976,4566,13411,4567,13489,14154,3501,11498,13390,13495,13024,10571,13212,10360,11931,12692,11806,12919,12427,11309,13192,12885,10602,13401,11854,10586,11522,11049,12429,12458,12465,10928,13124,11149,13451,10892,12199,10750,13456,13533,13697,13917,4313,3662,12485,10923,11173,4318,11117,13372,13140,10283,12943,10925,11262,10694,10533,3321,3228,11115,12931,12934,13208,10707,13228,12149,12142,12246,10268,11746,13348,13438,13443,13571,13658,13768,11802,13266,10701,12690,11103,10938,13544,13661,13742,13776,13887,14075,14136,12067,10941,13552,13566,13757,11144,10689,13557,10792,12008,11267,12481,13216,12397,11179,13651,11183,2883,9,5173,6757,9754,9307,5552,6077,6036,7162,8598,5067,6501,7371,5227,9004,5329,5689,7171,7295,9925,9728,9922,8498,8538,8248,7320,7324,9335,6246,7141,7733,4758,5060,5211,6348,6431,5034,8559,5300,5346,8769,5538,8791,8902,9569,8039,6787,5510,6255,7767,6301,4722,6465,7530,8615,10002,5516,6240,6075,6122,5115,9820,9923,4992,4721,8642,5680,6730,5254,5535,6464,6707,6934,5818,5891,7351,8185,9103,6409,7349,4993,7440,5308,9219,5955,5209,7762,8204,6223,6856,7549,8746,9220,9460,9678,4666,5242,6271,6805,7174,8878,5925,5182,5316,5764,7616,5739,5736,7400,4923,4945,5061,6890,8023,7976,8601,9539,9625,6314,9570,7777,8513,9502,5400,5444,7815,8747,9740,5596,6080,6716,5553,8643,5750,6788,7297,8370,5419,5895,6234,9433,9935,9956,4799,5643,5812,6756,9632,5702,9281,4659,4907,5970,6927,8907,5612,5222,5744,6399,8056,5311,5334,9677,9036,6514,6869,5040,9459,6873,9221,6360,6238,8810,5600,6236,10126,9730,9052,6357,9561,4970,8567,5251,6011,9572,6709,6170,6758,8372,9236,8536,8438,5691,6358,9148,8,5566,5221,5415,6127,8582,2,7429,8602,6736,8228,8794,7851,5870,6366,8922,7146,6760,7229,8272,9104,6717,5534,8529,9571,7635,7312,4861,9881,6729,6785,5757,5317,4763,6094,6451,9397,8674,5198,5460,5735,5813,7413,5066,6123,6164,6557,7697,9434,6678,6078,5228,5315,5410,7004,7732,8451,8731,9174,4883,6076,6097,6277,6303,8610,4908,5752,6103,5310,5642,8537,5246,5461,8415,8792,7086,6225,6400,9516,5609,8709,6430,8131,8449,5114,6708,6774,8055,5771,6252,9589,5332,5361,10180,9303,5174,9709,5245,6099,6173,5582,5997,8530,6056,5350,8557,8790,9936,6102,5741,6057,6179,8558,6121,8471,9961,5484,6453,6754,8040,9818,10054,8378,7323,8535,9785,6752,7531,9070,9587,6060,8399,8872,9633,7826,5359,5746,5402,5554,5125,5655,5235,5931,9306,8687,6354,8897,10196,6263,5247,7481,6355,5341,6221,4697]), % 183.28/183.27 ['proof']). % 183.28/183.27 % SZS output end Proof % 183.28/183.27 % Total time :163.840000s %------------------------------------------------------------------------------