%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW316+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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:07:15 EDT 2024 % Result : Theorem 166.45s 166.21s % Output : CNFRefutation 166.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWW316+1 : TPTP v8.2.0. Released v5.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n012.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Wed Jun 19 08:05:39 EDT 2024 % 0.11/0.34 % CPUTime : % 0.61/0.63 start to proof:theBenchmark % 165.92/166.04 %------------------------------------------- % 165.92/166.04 % File :CSE---1.7 % 165.92/166.04 % Problem :theBenchmark % 165.92/166.04 % Transform :cnf % 165.92/166.04 % Format :tptp:raw % 165.92/166.04 % Command :java -jar mcs_scs.jar %d %s % 165.92/166.04 % 165.92/166.04 % Result :Theorem 151.960000s % 165.92/166.04 % Output :CNFRefutation 151.960000s % 165.92/166.04 %------------------------------------------- % 165.92/166.04 %------------------------------------------------------------------------------ % 165.92/166.04 % File : SWW316+1 : TPTP v8.2.0. Released v5.2.0. % 165.92/166.04 % Domain : Software Verification % 165.92/166.04 % Problem : Hoare's Logic with Procedures 434982, 5000 axioms selected % 165.92/166.04 % Version : Especial. % 165.92/166.04 % English : % 165.92/166.04 % 165.92/166.04 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 165.92/166.04 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 165.92/166.04 % Source : [Bla11] % 165.92/166.04 % Names : hoare_434982.5000.p [Bla11] % 165.92/166.04 % 165.92/166.04 % Status : ContradictoryAxioms % 165.92/166.05 % Rating : 0.61 v8.2.0, 0.64 v8.1.0, 0.67 v7.5.0, 0.69 v7.4.0, 0.80 v7.3.0, 0.72 v7.1.0, 0.74 v7.0.0, 0.77 v6.4.0, 0.73 v6.3.0, 0.71 v6.2.0, 0.84 v6.1.0, 0.87 v6.0.0, 0.83 v5.5.0, 0.81 v5.4.0, 0.86 v5.3.0, 0.89 v5.2.0 % 165.92/166.05 % Syntax : Number of formulae : 5227 (1683 unt; 0 def) % 165.92/166.05 % Number of atoms : 12735 (4425 equ) % 165.92/166.05 % Maximal formula atoms : 13 ( 2 avg) % 165.92/166.05 % Number of connectives : 8509 (1001 ~; 151 |; 721 &) % 165.92/166.05 % ( 886 <=>;5750 =>; 0 <=; 0 <~>) % 165.92/166.05 % Maximal formula depth : 22 ( 6 avg) % 165.92/166.05 % Maximal term depth : 19 ( 2 avg) % 165.92/166.05 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty) % 165.92/166.05 % Number of functors : 391 ( 391 usr; 55 con; 0-7 aty) % 165.92/166.05 % Number of variables : 16648 (16499 !; 149 ?) % 165.92/166.05 % SPC : FOF_CAX_RFO_SEQ % 165.92/166.05 % 165.92/166.05 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 165.92/166.05 % 2011-03-01 11:44:55 % 165.92/166.05 %------------------------------------------------------------------------------ % 165.92/166.05 %----Relevant facts (4985) % 165.92/166.05 fof(fact_ext,axiom, % 165.92/166.05 ! [V_g_2,V_f_2] : % 165.92/166.05 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 165.92/166.05 => V_f_2 = V_g_2 ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_triple_Oinject,axiom, % 165.92/166.05 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 165.92/166.05 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 165.92/166.05 <=> ( V_fun1_2 = V_fun1_H_2 % 165.92/166.05 & V_com_2 = V_com_H_2 % 165.92/166.05 & V_fun2_2 = V_fun2_H_2 ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_asm,axiom, % 165.92/166.05 ! [V_G_2,V_tsa_2,T_b] : % 165.92/166.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2)) % 165.92/166.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_weaken,axiom, % 165.92/166.05 ! [V_tsa_2,V_ts_H_2,V_G_2,T_b] : % 165.92/166.05 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2)) % 165.92/166.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_cut,axiom, % 165.92/166.05 ! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] : % 165.92/166.05 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2) % 165.92/166.05 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2) % 165.92/166.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_hoare__derivs_OBody,axiom, % 165.92/166.05 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_b] : % 165.92/166.05 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,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))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),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_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,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))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),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)) % 165.92/166.05 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,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))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup1E,axiom, % 165.92/166.05 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.92/166.05 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 165.92/166.05 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 165.92/166.05 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup1CI,axiom, % 165.92/166.05 ! [T_b,V_A_2,V_x_2,V_B_2] : % 165.92/166.05 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 165.92/166.05 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 165.92/166.05 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_equalityI,axiom, % 165.92/166.05 ! [V_B_2,V_A_2,T_b] : % 165.92/166.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.92/166.05 => V_A_2 = V_B_2 ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup__fun__def,axiom, % 165.92/166.05 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 165.92/166.05 ( class_Lattices_Olattice(T_b) % 165.92/166.05 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__refl,axiom, % 165.92/166.05 ! [V_x,T_a] : % 165.92/166.05 ( class_Orderings_Opreorder(T_a) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_triple_Orecs,axiom, % 165.92/166.05 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 165.92/166.05 % 165.92/166.05 fof(fact_triple_Osimps_I2_J,axiom, % 165.92/166.05 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 165.92/166.05 % 165.92/166.05 fof(fact_image__Un,axiom, % 165.92/166.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 165.92/166.05 % 165.92/166.05 fof(fact_Un__upper1,axiom, % 165.92/166.05 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 165.92/166.05 % 165.92/166.05 fof(fact_Un__upper2,axiom, % 165.92/166.05 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 165.92/166.05 % 165.92/166.05 fof(fact_subset__Un__eq,axiom, % 165.92/166.05 ! [V_B_2,V_A_2,T_b] : % 165.92/166.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.05 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_Un__absorb1,axiom, % 165.92/166.05 ! [V_B_2,V_A_2,T_b] : % 165.92/166.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_linorder__le__cases,axiom, % 165.92/166.05 ! [V_y,V_x,T_a] : % 165.92/166.05 ( class_Orderings_Olinorder(T_a) % 165.92/166.05 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_xt1_I6_J,axiom, % 165.92/166.05 ! [V_z,V_x,V_y,T_a] : % 165.92/166.05 ( class_Orderings_Oorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_xt1_I5_J,axiom, % 165.92/166.05 ! [V_x,V_y,T_a] : % 165.92/166.05 ( class_Orderings_Oorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.05 => V_x = V_y ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__trans,axiom, % 165.92/166.05 ! [V_z,V_y,V_x,T_a] : % 165.92/166.05 ( class_Orderings_Opreorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__antisym,axiom, % 165.92/166.05 ! [V_y,V_x,T_a] : % 165.92/166.05 ( class_Orderings_Oorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.92/166.05 => V_x = V_y ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_xt1_I4_J,axiom, % 165.92/166.05 ! [V_c,V_a,V_b,T_a] : % 165.92/166.05 ( class_Orderings_Oorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.92/166.05 => ( V_b = V_c % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_ord__le__eq__trans,axiom, % 165.92/166.05 ! [V_c,V_b,V_a,T_a] : % 165.92/166.05 ( class_Orderings_Oord(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.92/166.05 => ( V_b = V_c % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_xt1_I3_J,axiom, % 165.92/166.05 ! [V_c,V_b,V_a,T_a] : % 165.92/166.05 ( class_Orderings_Oorder(T_a) % 165.92/166.05 => ( V_a = V_b % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_ord__eq__le__trans,axiom, % 165.92/166.05 ! [V_c,V_b,V_a,T_a] : % 165.92/166.05 ( class_Orderings_Oord(T_a) % 165.92/166.05 => ( V_a = V_b % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__antisym__conv,axiom, % 165.92/166.05 ! [V_x_2,V_y_2,T_b] : % 165.92/166.05 ( class_Orderings_Oorder(T_b) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.92/166.05 <=> V_x_2 = V_y_2 ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__eq__refl,axiom, % 165.92/166.05 ! [V_y,V_x,T_a] : % 165.92/166.05 ( class_Orderings_Opreorder(T_a) % 165.92/166.05 => ( V_x = V_y % 165.92/166.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_order__eq__iff,axiom, % 165.92/166.05 ! [V_y_2,V_x_2,T_b] : % 165.92/166.05 ( class_Orderings_Oorder(T_b) % 165.92/166.05 => ( V_x_2 = V_y_2 % 165.92/166.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.92/166.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_linorder__linear,axiom, % 165.92/166.05 ! [V_y,V_x,T_a] : % 165.92/166.05 ( class_Orderings_Olinorder(T_a) % 165.92/166.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup__assoc,axiom, % 165.92/166.05 ! [V_z,V_y,V_x,T_a] : % 165.92/166.05 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.05 => 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)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_inf__sup__aci_I6_J,axiom, % 165.92/166.05 ! [V_z,V_y,V_x,T_a] : % 165.92/166.05 ( class_Lattices_Olattice(T_a) % 165.92/166.05 => 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)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup_Oassoc,axiom, % 165.92/166.05 ! [V_c,V_b,V_a,T_a] : % 165.92/166.05 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.05 => 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)) ) ). % 165.92/166.05 % 165.92/166.05 fof(fact_sup__left__commute,axiom, % 165.92/166.05 ! [V_z,V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_inf__sup__aci_I7_J,axiom, % 165.92/166.06 ! [V_z,V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => 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)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup_Oleft__commute,axiom, % 165.92/166.06 ! [V_c,V_a,V_b,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__left__idem,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_inf__sup__aci_I8_J,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup_Oleft__idem,axiom, % 165.92/166.06 ! [V_b,V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__commute,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_inf__sup__aci_I5_J,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup_Ocommute,axiom, % 165.92/166.06 ! [V_b,V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__idem,axiom, % 165.92/166.06 ! [V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup_Oidem,axiom, % 165.92/166.06 ! [V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_equalityE,axiom, % 165.92/166.06 ! [T_b,V_B_2,V_A_2] : % 165.92/166.06 ( V_A_2 = V_B_2 % 165.92/166.06 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.06 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_subset__trans,axiom, % 165.92/166.06 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_predicate1D,axiom, % 165.92/166.06 ! [V_x_2,V_Q_2,V_P_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 165.92/166.06 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 165.92/166.06 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_equalityD2,axiom, % 165.92/166.06 ! [T_b,V_B_2,V_A_2] : % 165.92/166.06 ( V_A_2 = V_B_2 % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_equalityD1,axiom, % 165.92/166.06 ! [T_b,V_B_2,V_A_2] : % 165.92/166.06 ( V_A_2 = V_B_2 % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_rev__predicate1D,axiom, % 165.92/166.06 ! [V_Q_2,T_b,V_x_2,V_P_2] : % 165.92/166.06 ( hBOOL(hAPP(V_P_2,V_x_2)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 165.92/166.06 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_set__eq__subset,axiom, % 165.92/166.06 ! [T_b,V_B_2,V_A_2] : % 165.92/166.06 ( V_A_2 = V_B_2 % 165.92/166.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_subset__refl,axiom, % 165.92/166.06 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup1I2,axiom, % 165.92/166.06 ! [V_A_2,T_b,V_x_2,V_B_2] : % 165.92/166.06 ( hBOOL(hAPP(V_B_2,V_x_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup1I1,axiom, % 165.92/166.06 ! [V_B_2,T_b,V_x_2,V_A_2] : % 165.92/166.06 ( hBOOL(hAPP(V_A_2,V_x_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_ball__Un,axiom, % 165.92/166.06 ! [V_P_2,V_B_2,V_A_2,T_b] : % 165.92/166.06 ( ! [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.92/166.06 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.92/166.06 <=> ( ! [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.92/166.06 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.92/166.06 & ! [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 165.92/166.06 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_bex__Un,axiom, % 165.92/166.06 ! [V_P_2,V_B_2,V_A_2,T_b] : % 165.92/166.06 ( ? [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.92/166.06 & hBOOL(hAPP(V_P_2,B_x)) ) % 165.92/166.06 <=> ( ? [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.92/166.06 & hBOOL(hAPP(V_P_2,B_x)) ) % 165.92/166.06 | ? [B_x] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 165.92/166.06 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__assoc,axiom, % 165.92/166.06 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__left__commute,axiom, % 165.92/166.06 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__left__absorb,axiom, % 165.92/166.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__commute,axiom, % 165.92/166.06 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__absorb,axiom, % 165.92/166.06 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 165.92/166.06 % 165.92/166.06 fof(fact_image__image,axiom, % 165.92/166.06 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__supE,axiom, % 165.92/166.06 ! [V_x,V_b,V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( 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)) % 165.92/166.06 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.92/166.06 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__mono,axiom, % 165.92/166.06 ! [V_d,V_b,V_c,V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 165.92/166.06 => 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))) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__least,axiom, % 165.92/166.06 ! [V_z,V_x,V_y,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 165.92/166.06 => 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)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__supI,axiom, % 165.92/166.06 ! [V_b,V_x,V_a,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 165.92/166.06 => 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)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__absorb1,axiom, % 165.92/166.06 ! [V_x,V_y,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__absorb2,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__supI2,axiom, % 165.92/166.06 ! [V_a,V_b,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 165.92/166.06 => 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))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__supI1,axiom, % 165.92/166.06 ! [V_b,V_a,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.92/166.06 => 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))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__sup__iff,axiom, % 165.92/166.06 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_b) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2)) % 165.92/166.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 165.92/166.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__iff__sup,axiom, % 165.92/166.06 ! [V_y_2,V_x_2,T_b] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_b) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.92/166.06 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__ge2,axiom, % 165.92/166.06 ! [V_x,V_y,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_inf__sup__ord_I4_J,axiom, % 165.92/166.06 ! [V_x,V_y,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => 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))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__ge1,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Osemilattice__sup(T_a) % 165.92/166.06 => 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))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_inf__sup__ord_I3_J,axiom, % 165.92/166.06 ! [V_y,V_x,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => 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))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__funE,axiom, % 165.92/166.06 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 165.92/166.06 ( class_Orderings_Oord(T_c) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__funD,axiom, % 165.92/166.06 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 165.92/166.06 ( class_Orderings_Oord(T_c) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_le__fun__def,axiom, % 165.92/166.06 ! [V_g_2,V_f_2,T_b,T_c] : % 165.92/166.06 ( class_Orderings_Oord(T_c) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.92/166.06 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_sup__apply,axiom, % 165.92/166.06 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 165.92/166.06 ( class_Lattices_Olattice(T_b) % 165.92/166.06 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_image__mono,axiom, % 165.92/166.06 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_subset__image__iff,axiom, % 165.92/166.06 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 165.92/166.06 <=> ? [B_AA] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 165.92/166.06 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__mono,axiom, % 165.92/166.06 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__least,axiom, % 165.92/166.06 ! [V_B_2,V_C_2,V_A_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Un__absorb2,axiom, % 165.92/166.06 ! [V_A_2,V_B_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_image__ident,axiom, % 165.92/166.06 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 165.92/166.06 % 165.92/166.06 fof(fact_com_Osimps_I6_J,axiom, % 165.92/166.06 ! [V_pname_H_2,V_pname_2] : % 165.92/166.06 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 165.92/166.06 <=> V_pname_2 = V_pname_H_2 ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Sup__fin_Oidem,axiom, % 165.92/166.06 ! [V_x,T_a] : % 165.92/166.06 ( class_Lattices_Olattice(T_a) % 165.92/166.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Powp__mono,axiom, % 165.92/166.06 ! [V_B_2,V_A_2,T_b] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Body1,axiom, % 165.92/166.06 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_G_2,T_b] : % 165.92/166.06 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,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))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),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_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,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))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),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)) % 165.92/166.06 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2)) % 165.92/166.06 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_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,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_b),tc_HOL_Obool)))) ) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_evalc_OBody,axiom, % 165.92/166.06 ! [V_s1,V_s0,V_pn] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_evalc__elim__cases_I6_J,axiom, % 165.92/166.06 ! [V_s1,V_s,V_P] : % 165.92/166.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 165.92/166.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 165.92/166.06 % 165.92/166.06 fof(fact_Body__triple__valid__Suc,axiom, % 165.92/166.06 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_b] : % 165.92/166.06 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)) % 165.92/166.06 <=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ). % 165.99/166.06 % 165.99/166.06 fof(fact_BodyN,axiom, % 165.99/166.06 ! [V_G_2,V_Q_2,V_pn_2,V_P_2,T_b] : % 165.99/166.06 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),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_b),tc_HOL_Obool)))) % 165.99/166.06 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),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_b),tc_HOL_Obool)))) ) ). % 165.99/166.06 % 165.99/166.07 fof(fact_mono__sup,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 165.99/166.07 ( ( class_Lattices_Osemilattice__sup(T_c) % 165.99/166.07 & class_Lattices_Osemilattice__sup(T_b) ) % 165.99/166.07 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_order__fun_I1_J,axiom, % 165.99/166.07 ! [V_g_2,V_f_2,T_b,T_c] : % 165.99/166.07 ( ( class_Orderings_Oorder(T_c) % 165.99/166.07 & class_Enum_Oenum(T_b) ) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.99/166.07 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc_Oequations_I9_J,axiom, % 165.99/166.07 ! [V_a3_2,V_a2_2,V_a1_2] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 165.99/166.07 <=> 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)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_equalityCE,axiom, % 165.99/166.07 ! [V_c_2,T_b,V_B_2,V_A_2] : % 165.99/166.07 ( V_A_2 = V_B_2 % 165.99/166.07 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 165.99/166.07 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_emptyE,axiom, % 165.99/166.07 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insertE,axiom, % 165.99/166.07 ! [V_A_2,V_b_2,V_a_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 165.99/166.07 => ( V_a_2 != V_b_2 % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insertCI,axiom, % 165.99/166.07 ! [V_b_2,V_B_2,V_a_2,T_b] : % 165.99/166.07 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 165.99/166.07 => V_a_2 = V_b_2 ) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subsetD,axiom, % 165.99/166.07 ! [V_c_2,V_B_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__eqI,axiom, % 165.99/166.07 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 165.99/166.07 ( V_b_2 = hAPP(V_f_2,V_x_2) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_UnE,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_UnCI,axiom, % 165.99/166.07 ! [V_A_2,V_B_2,V_c_2,T_b] : % 165.99/166.07 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_empty__subsetI,axiom, % 165.99/166.07 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_empty__not__insert,axiom, % 165.99/166.07 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__not__empty,axiom, % 165.99/166.07 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_bot__fun__def,axiom, % 165.99/166.07 ! [V_x_2,T_c,T_b] : % 165.99/166.07 ( class_Orderings_Obot(T_b) % 165.99/166.07 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_bot__empty__eq,axiom, % 165.99/166.07 ! [V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insertI1,axiom, % 165.99/166.07 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_bot__apply,axiom, % 165.99/166.07 ! [V_x_2,T_c,T_b] : % 165.99/166.07 ( class_Orderings_Obot(T_b) % 165.99/166.07 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_all__not__in__conv,axiom, % 165.99/166.07 ! [V_A_2,T_b] : % 165.99/166.07 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_ex__in__conv,axiom, % 165.99/166.07 ! [V_A_2,T_b] : % 165.99/166.07 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.07 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_empty__iff,axiom, % 165.99/166.07 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_mem__def,axiom, % 165.99/166.07 ! [V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_eq__mem,axiom, % 165.99/166.07 ! [V_y_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 165.99/166.07 <=> V_x_2 = V_y_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_singleton__iff,axiom, % 165.99/166.07 ! [V_a_2,V_b_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.07 <=> V_b_2 = V_a_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__absorb2,axiom, % 165.99/166.07 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__commute,axiom, % 165.99/166.07 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__iff,axiom, % 165.99/166.07 ! [V_A_2,V_b_2,V_a_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 165.99/166.07 <=> ( V_a_2 = V_b_2 % 165.99/166.07 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_doubleton__eq__iff,axiom, % 165.99/166.07 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.07 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.07 <=> ( ( V_a_2 = V_c_2 % 165.99/166.07 & V_b_2 = V_d_2 ) % 165.99/166.07 | ( V_a_2 = V_d_2 % 165.99/166.07 & V_b_2 = V_c_2 ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__code,axiom, % 165.99/166.07 ! [V_x_2,V_A_2,V_y_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 165.99/166.07 <=> ( V_y_2 = V_x_2 % 165.99/166.07 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__ident,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.07 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2) % 165.99/166.07 <=> V_A_2 = V_B_2 ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_equals0D,axiom, % 165.99/166.07 ! [V_a_2,T_b,V_A_2] : % 165.99/166.07 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insertI2,axiom, % 165.99/166.07 ! [V_b_2,V_B_2,V_a_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__absorb,axiom, % 165.99/166.07 ! [V_A_2,V_a_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.07 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_eqset__imp__iff,axiom, % 165.99/166.07 ! [V_x_2,T_b,V_B_2,V_A_2] : % 165.99/166.07 ( V_A_2 = V_B_2 % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_eqelem__imp__iff,axiom, % 165.99/166.07 ! [V_A_2,T_b,V_y_2,V_x_2] : % 165.99/166.07 ( V_x_2 = V_y_2 % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_eq__mem__trans,axiom, % 165.99/166.07 ! [V_A_2,T_b,V_b_2,V_a_2] : % 165.99/166.07 ( V_a_2 = V_b_2 % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_singletonE,axiom, % 165.99/166.07 ! [V_a_2,V_b_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.07 => V_b_2 = V_a_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_singleton__inject,axiom, % 165.99/166.07 ! [V_b_2,V_a_2,T_b] : % 165.99/166.07 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.07 => V_a_2 = V_b_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com__det,axiom, % 165.99/166.07 ! [V_u,V_t,V_s,V_c] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 165.99/166.07 => V_u = V_t ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_triple__valid__Suc,axiom, % 165.99/166.07 ! [V_t,V_n,T_a] : % 165.99/166.07 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 165.99/166.07 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_all__code,axiom, % 165.99/166.07 ! [V_P_2,T_b] : % 165.99/166.07 ( class_Enum_Oenum(T_b) % 165.99/166.07 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.07 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_enum__all,axiom, % 165.99/166.07 ! [V_P_2,T_b] : % 165.99/166.07 ( class_Enum_Oenum(T_b) % 165.99/166.07 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) % 165.99/166.07 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__constant,axiom, % 165.99/166.07 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__insert,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__subset,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2)) % 165.99/166.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__image,axiom, % 165.99/166.07 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__singletonD,axiom, % 165.99/166.07 ! [V_x_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.07 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 | 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))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__is__Un,axiom, % 165.99/166.07 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ). % 165.99/166.07 % 165.99/166.07 fof(fact_pred__equals__eq,axiom, % 165.99/166.07 ! [V_S_2,V_R_2,T_b] : % 165.99/166.07 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2) % 165.99/166.07 <=> V_R_2 = V_S_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_hoare__derivs_Oinsert,axiom, % 165.99/166.07 ! [V_tsa_2,V_t_2,V_G_2,T_b] : % 165.99/166.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 165.99/166.07 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__constant__conv,axiom, % 165.99/166.07 ! [V_c_2,T_c,T_b,V_A_2] : % 165.99/166.07 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.07 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__insertI,axiom, % 165.99/166.07 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__insertI2,axiom, % 165.99/166.07 ! [V_b_2,V_B_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_insert__mono,axiom, % 165.99/166.07 ! [V_a_2,V_D_2,V_C_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__insert,axiom, % 165.99/166.07 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__insert__right,axiom, % 165.99/166.07 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__insert__left,axiom, % 165.99/166.07 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_in__mono,axiom, % 165.99/166.07 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_set__rev__mp,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_set__mp,axiom, % 165.99/166.07 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__iff,axiom, % 165.99/166.07 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 165.99/166.07 <=> ? [B_x] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.07 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_imageI,axiom, % 165.99/166.07 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_rev__image__eqI,axiom, % 165.99/166.07 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__iff,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_UnI1,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_UnI2,axiom, % 165.99/166.07 ! [V_A_2,V_B_2,V_c_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__empty,axiom, % 165.99/166.07 ! [V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_empty__is__image,axiom, % 165.99/166.07 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.07 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) % 165.99/166.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__empty,axiom, % 165.99/166.07 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__is__empty,axiom, % 165.99/166.07 ! [V_A_2,V_f_2,T_b,T_c] : % 165.99/166.07 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__empty__left,axiom, % 165.99/166.07 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__empty__right,axiom, % 165.99/166.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 165.99/166.07 % 165.99/166.07 fof(fact_Un__empty,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,T_b] : % 165.99/166.07 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.07 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_empty,axiom, % 165.99/166.07 ! [V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 165.99/166.07 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_monoD,axiom, % 165.99/166.07 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 165.99/166.07 ( ( class_Orderings_Oorder(T_c) % 165.99/166.07 & class_Orderings_Oorder(T_b) ) % 165.99/166.07 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_pred__subset__eq,axiom, % 165.99/166.07 ! [V_S_2,V_R_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_sup__Un__eq,axiom, % 165.99/166.07 ! [V_x_2,V_S_2,V_R_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_bot__least,axiom, % 165.99/166.07 ! [V_x,T_a] : % 165.99/166.07 ( class_Orderings_Obot(T_a) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_sup__bot__left,axiom, % 165.99/166.07 ! [V_x,T_a] : % 165.99/166.07 ( class_Lattices_Obounded__lattice__bot(T_a) % 165.99/166.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_sup__bot__right,axiom, % 165.99/166.07 ! [V_x,T_a] : % 165.99/166.07 ( class_Lattices_Obounded__lattice__bot(T_a) % 165.99/166.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_sup__eq__bot__iff,axiom, % 165.99/166.07 ! [V_y_2,V_x_2,T_b] : % 165.99/166.07 ( class_Lattices_Obounded__lattice__bot(T_b) % 165.99/166.07 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 165.99/166.07 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 165.99/166.07 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_mono__Un,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.07 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_MGT__def,axiom, % 165.99/166.07 ! [V_c_2] : c_Hoare__Mirabelle_OMGT(V_c_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_c_2),c_Natural_Oevalc(V_c_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_the__elem__eq,axiom, % 165.99/166.07 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ). % 165.99/166.07 % 165.99/166.07 fof(fact_Least__mono,axiom, % 165.99/166.07 ! [V_S_2,V_f_2,T_b,T_c] : % 165.99/166.07 ( ( class_Orderings_Oorder(T_c) % 165.99/166.07 & class_Orderings_Oorder(T_b) ) % 165.99/166.07 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.07 => ( ? [B_x] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 165.99/166.07 & ! [B_xa] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) % 165.99/166.07 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_mono__iff__le__Suc,axiom, % 165.99/166.07 ! [V_f_2,T_b] : % 165.99/166.07 ( class_Orderings_Oorder(T_b) % 165.99/166.07 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2) % 165.99/166.07 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_escape,axiom, % 165.99/166.07 ! [V_Q_2,V_c_2,V_G_2,T_b,V_P_2] : % 165.99/166.07 ( ! [B_Z,B_s] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_hoare__derivs_OSkip,axiom, % 165.99/166.07 ! [V_P_2,V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 165.99/166.07 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_conseq2,axiom, % 165.99/166.07 ! [V_Q_2,V_Q_H_2,V_c_2,V_P_2,V_G_2,T_b] : % 165.99/166.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 165.99/166.07 => ( ! [B_Z,B_s] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 165.99/166.07 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_conseq1,axiom, % 165.99/166.07 ! [V_P_2,V_Q_2,V_c_2,V_P_H_2,V_G_2,T_b] : % 165.99/166.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 165.99/166.07 => ( ! [B_Z,B_s] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 165.99/166.07 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Comp,axiom, % 165.99/166.07 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_G_2,T_b] : % 165.99/166.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 165.99/166.07 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 165.99/166.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc_OSemi,axiom, % 165.99/166.07 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc_OSkip,axiom, % 165.99/166.07 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc__elim__cases_I1_J,axiom, % 165.99/166.07 ! [V_t,V_s] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 165.99/166.07 => V_t = V_s ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I3_J,axiom, % 165.99/166.07 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 165.99/166.07 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 165.99/166.07 <=> ( V_com1_2 = V_com1_H_2 % 165.99/166.07 & V_com2_2 = V_com2_H_2 ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I13_J,axiom, % 165.99/166.07 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I12_J,axiom, % 165.99/166.07 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 165.99/166.07 % 165.99/166.07 fof(fact_LeastI__ex,axiom, % 165.99/166.07 ! [V_P_2,T_b] : % 165.99/166.07 ( class_Orderings_Owellorder(T_b) % 165.99/166.07 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.07 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_LeastI,axiom, % 165.99/166.07 ! [V_k_2,V_P_2,T_b] : % 165.99/166.07 ( class_Orderings_Owellorder(T_b) % 165.99/166.07 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 165.99/166.07 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc_Oequations_I4_J,axiom, % 165.99/166.07 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 165.99/166.07 <=> ? [B_s1] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 165.99/166.07 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I48_J,axiom, % 165.99/166.07 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I49_J,axiom, % 165.99/166.07 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evalc_Oequations_I1_J,axiom, % 165.99/166.07 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I19_J,axiom, % 165.99/166.07 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 165.99/166.07 % 165.99/166.07 fof(fact_com_Osimps_I18_J,axiom, % 165.99/166.07 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Least__le,axiom, % 165.99/166.07 ! [V_k_2,V_P_2,T_b] : % 165.99/166.07 ( class_Orderings_Owellorder(T_b) % 165.99/166.07 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_P_2)),V_k_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_mono__Suc,axiom, % 165.99/166.07 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ). % 165.99/166.07 % 165.99/166.07 fof(fact_n__not__Suc__n,axiom, % 165.99/166.07 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Suc__n__not__n,axiom, % 165.99/166.07 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 165.99/166.07 % 165.99/166.07 fof(fact_nat_Oinject,axiom, % 165.99/166.07 ! [V_nat_H_2,V_nat_2] : % 165.99/166.07 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 165.99/166.07 <=> V_nat_2 = V_nat_H_2 ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Suc__inject,axiom, % 165.99/166.07 ! [V_y,V_x] : % 165.99/166.07 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 165.99/166.07 => V_x = V_y ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Suc__leD,axiom, % 165.99/166.07 ! [V_n,V_m] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_le__SucE,axiom, % 165.99/166.07 ! [V_n,V_m] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 165.99/166.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.07 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_le__SucI,axiom, % 165.99/166.07 ! [V_n,V_m] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Suc__le__mono,axiom, % 165.99/166.07 ! [V_m_2,V_n_2] : % 165.99/166.07 ( 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))) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_le__Suc__eq,axiom, % 165.99/166.07 ! [V_n_2,V_m_2] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 165.99/166.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.07 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_not__less__eq__eq,axiom, % 165.99/166.07 ! [V_n_2,V_m_2] : % 165.99/166.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Suc__n__not__le__n,axiom, % 165.99/166.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_coinduct3__mono__lemma,axiom, % 165.99/166.07 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] : % 165.99/166.07 ( class_Orderings_Oorder(T_b) % 165.99/166.07 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2) % 165.99/166.07 => c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_f_2)),V_X_2))),V_B_2)) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evaln_OBody,axiom, % 165.99/166.07 ! [V_s1,V_n,V_s0,V_pn] : % 165.99/166.07 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) % 165.99/166.07 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_the__elem__def,axiom, % 165.99/166.07 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_LoopF,axiom, % 165.99/166.07 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_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_c_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 165.99/166.07 % 165.99/166.07 fof(fact_evaln_Oequations_I9_J,axiom, % 165.99/166.07 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 165.99/166.07 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2) % 165.99/166.07 <=> 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) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_Body__triple__valid__0,axiom, % 165.99/166.07 ! [V_Q_2,V_pn_2,V_P_2,T_b] : c_Hoare__Mirabelle_Otriple__valid(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ). % 165.99/166.07 % 165.99/166.07 fof(fact_image__Pow__mono,axiom, % 165.99/166.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_override__on__def,axiom, % 165.99/166.07 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 165.99/166.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.07 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 165.99/166.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.07 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_diff__single__insert,axiom, % 165.99/166.07 ! [V_B_2,V_x_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) % 165.99/166.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ). % 165.99/166.07 % 165.99/166.07 fof(fact_subset__insert__iff,axiom, % 165.99/166.07 ! [V_B_2,V_x_2,V_A_2,T_b] : % 165.99/166.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 165.99/166.07 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_imageE,axiom, % 165.99/166.08 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 165.99/166.08 => ~ ! [B_x] : % 165.99/166.08 ( V_b_2 = hAPP(V_f_2,B_x) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_DiffI,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_DiffE,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.08 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le0,axiom, % 165.99/166.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_PowI,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_OWhileFalse,axiom, % 165.99/166.08 ! [V_n_2,V_c_2,V_s_2,V_b_2] : % 165.99/166.08 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.08 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_OWhileTrue,axiom, % 165.99/166.08 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] : % 165.99/166.08 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 165.99/166.08 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2) % 165.99/166.08 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2) % 165.99/166.08 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evalc_OWhileTrue,axiom, % 165.99/166.08 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] : % 165.99/166.08 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evalc_OWhileFalse,axiom, % 165.99/166.08 ! [V_c_2,V_s_2,V_b_2] : % 165.99/166.08 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_OSemi,axiom, % 165.99/166.08 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 165.99/166.08 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) % 165.99/166.08 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 165.99/166.08 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_OSkip,axiom, % 165.99/166.08 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln__elim__cases_I1_J,axiom, % 165.99/166.08 ! [V_t,V_n,V_s] : % 165.99/166.08 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) % 165.99/166.08 => V_t = V_s ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__not__empty,axiom, % 165.99/166.08 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__refl,axiom, % 165.99/166.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__top,axiom, % 165.99/166.08 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 165.99/166.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__0__eq,axiom, % 165.99/166.08 ! [V_n_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 165.99/166.08 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_nat__le__linear,axiom, % 165.99/166.08 ! [V_n,V_m] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_eq__imp__le,axiom, % 165.99/166.08 ! [V_n,V_m] : % 165.99/166.08 ( V_m = V_n % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__trans,axiom, % 165.99/166.08 ! [V_k,V_j,V_i] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__antisym,axiom, % 165.99/166.08 ! [V_n,V_m] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.08 => V_m = V_n ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_bot__nat__def,axiom, % 165.99/166.08 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__diff__def,axiom, % 165.99/166.08 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 165.99/166.08 ( class_Groups_Ominus(T_b) % 165.99/166.08 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__idemp,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_minus__apply,axiom, % 165.99/166.08 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 165.99/166.08 ( class_Groups_Ominus(T_b) % 165.99/166.08 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I5_J,axiom, % 165.99/166.08 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 165.99/166.08 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 165.99/166.08 <=> ( V_fun_2 = V_fun_H_2 % 165.99/166.08 & V_com_2 = V_com_H_2 ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_Oequations_I7_J,axiom, % 165.99/166.08 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 165.99/166.08 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2) % 165.99/166.08 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.08 => ? [B_s1] : % 165.99/166.08 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 165.99/166.08 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_Oequations_I8_J,axiom, % 165.99/166.08 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 165.99/166.08 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2) % 165.99/166.08 <=> ( ( V_a6_2 = V_a2_2 % 165.99/166.08 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 165.99/166.08 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.08 & ? [B_s1] : % 165.99/166.08 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 165.99/166.08 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln__nonstrict,axiom, % 165.99/166.08 ! [V_m,V_t,V_n,V_s,V_c] : % 165.99/166.08 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.08 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Cantors__paradox,axiom, % 165.99/166.08 ! [V_A_2,T_b] : % 165.99/166.08 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__iff,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.08 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_DiffD1,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_DiffD2,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_empty__Diff,axiom, % 165.99/166.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__empty,axiom, % 165.99/166.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__cancel,axiom, % 165.99/166.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__subset,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__mono,axiom, % 165.99/166.08 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_double__diff,axiom, % 165.99/166.08 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln__Suc,axiom, % 165.99/166.08 ! [V_s_H,V_n,V_s,V_c] : % 165.99/166.08 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 165.99/166.08 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Un__Diff__cancel,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Un__Diff__cancel2,axiom, % 165.99/166.08 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Un__Diff,axiom, % 165.99/166.08 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln__evalc,axiom, % 165.99/166.08 ! [V_t,V_n,V_s,V_c] : % 165.99/166.08 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_eval__eq,axiom, % 165.99/166.08 ! [V_t_2,V_s_2,V_c_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2)) % 165.99/166.08 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Suc__neq__Zero,axiom, % 165.99/166.08 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Zero__neq__Suc,axiom, % 165.99/166.08 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 165.99/166.08 % 165.99/166.08 fof(fact_nat_Osimps_I3_J,axiom, % 165.99/166.08 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Suc__not__Zero,axiom, % 165.99/166.08 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_nat_Osimps_I2_J,axiom, % 165.99/166.08 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Zero__not__Suc,axiom, % 165.99/166.08 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_Oequations_I4_J,axiom, % 165.99/166.08 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 165.99/166.08 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2) % 165.99/166.08 <=> ? [B_s1] : % 165.99/166.08 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1) % 165.99/166.08 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln_Oequations_I1_J,axiom, % 165.99/166.08 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__bottom,axiom, % 165.99/166.08 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__empty,axiom, % 165.99/166.08 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__insert,axiom, % 165.99/166.08 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_PowD,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__iff,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_image__Pow__surj,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 165.99/166.08 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 165.99/166.08 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evalc_Oequations_I8_J,axiom, % 165.99/166.08 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 165.99/166.08 <=> ( ( V_a5_2 = V_a2_2 % 165.99/166.08 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 165.99/166.08 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.08 & ? [B_s1] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 165.99/166.08 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evalc_Oequations_I7_J,axiom, % 165.99/166.08 ! [V_a2_2,V_a3_2,V_a1_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.08 => ? [B_s1] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 165.99/166.08 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I59_J,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I58_J,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I46_J,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I47_J,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I16_J,axiom, % 165.99/166.08 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_com_Osimps_I17_J,axiom, % 165.99/166.08 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 165.99/166.08 % 165.99/166.08 fof(fact_Least__Suc,axiom, % 165.99/166.08 ! [V_n_2,V_P_2] : % 165.99/166.08 ( hBOOL(hAPP(V_P_2,V_n_2)) % 165.99/166.08 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 165.99/166.08 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_insert__Diff__if,axiom, % 165.99/166.08 ! [V_A_2,V_B_2,V_x_2,T_b] : % 165.99/166.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_insert__Diff1,axiom, % 165.99/166.08 ! [V_A_2,V_B_2,V_x_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__insert,axiom, % 165.99/166.08 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__insert2,axiom, % 165.99/166.08 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_insert__Diff__single,axiom, % 165.99/166.08 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_image__diff__subset,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__subset__conv,axiom, % 165.99/166.08 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__partition,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_triple__valid__def2,axiom, % 165.99/166.08 ! [V_Q_2,V_c_2,V_P_2,V_n_2,T_b] : % 165.99/166.08 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)) % 165.99/166.08 <=> ! [B_Z,B_s] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 165.99/166.08 => ! [B_s_H] : % 165.99/166.08 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H) % 165.99/166.08 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Pow__mono,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Un__Pow__subset,axiom, % 165.99/166.08 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Diff__insert__absorb,axiom, % 165.99/166.08 ! [V_A_2,V_x_2,T_b] : % 165.99/166.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_insert__Diff,axiom, % 165.99/166.08 ! [V_A_2,V_a_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.08 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_override__on__apply__in,axiom, % 165.99/166.08 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.08 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_override__on__apply__notin,axiom, % 165.99/166.08 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 165.99/166.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.08 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_override__on__emptyset,axiom, % 165.99/166.08 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_Powp__Pow__eq,axiom, % 165.99/166.08 ! [V_x_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_triple_Osize_I1_J,axiom, % 165.99/166.08 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__iff__diff__le__0,axiom, % 165.99/166.08 ! [V_b_2,V_a_2,T_b] : % 165.99/166.08 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_triple_Osize_I2_J,axiom, % 165.99/166.08 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_evaln__elim__cases_I6_J,axiom, % 165.99/166.08 ! [V_s1,V_n,V_s,V_P] : % 165.99/166.08 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) % 165.99/166.08 => ~ ! [B_n] : % 165.99/166.08 ( V_n = hAPP(c_Nat_OSuc,B_n) % 165.99/166.08 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_enum__the__def,axiom, % 165.99/166.08 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_flat__lub__def,axiom, % 165.99/166.08 ! [V_b_2,V_A_2,T_b] : % 165.99/166.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.08 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.08 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_right__minus__eq,axiom, % 165.99/166.08 ! [V_b_2,V_a_2,T_b] : % 165.99/166.08 ( class_Groups_Ogroup__add(T_b) % 165.99/166.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.08 <=> V_a_2 = V_b_2 ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_eq__iff__diff__eq__0,axiom, % 165.99/166.08 ! [V_b_2,V_a_2,T_b] : % 165.99/166.08 ( class_Groups_Oab__group__add(T_b) % 165.99/166.08 => ( V_a_2 = V_b_2 % 165.99/166.08 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__self,axiom, % 165.99/166.08 ! [V_a,T_a] : % 165.99/166.08 ( class_Groups_Ogroup__add(T_a) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__0__right,axiom, % 165.99/166.08 ! [V_a,T_a] : % 165.99/166.08 ( class_Groups_Ogroup__add(T_a) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__eq__diff__less__eq,axiom, % 165.99/166.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.08 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diffs0__imp__equal,axiom, % 165.99/166.08 ! [V_n,V_m] : % 165.99/166.08 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.08 => V_m = V_n ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__self__eq__0,axiom, % 165.99/166.08 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.08 % 165.99/166.08 fof(fact_minus__nat_Odiff__0,axiom, % 165.99/166.08 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__0__eq__0,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__Suc__Suc,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Suc__diff__diff,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_le__diff__iff,axiom, % 165.99/166.08 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 165.99/166.08 => ( 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))) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Nat_Odiff__diff__eq,axiom, % 165.99/166.08 ! [V_n,V_m,V_k] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 165.99/166.08 => 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) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_eq__diff__iff,axiom, % 165.99/166.08 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 165.99/166.08 => ( 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) % 165.99/166.08 <=> V_m_2 = V_n_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__diff__cancel,axiom, % 165.99/166.08 ! [V_n,V_i] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 165.99/166.08 => 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 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__le__mono,axiom, % 165.99/166.08 ! [V_l,V_n,V_m] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.08 => 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))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__le__mono2,axiom, % 165.99/166.08 ! [V_l,V_n,V_m] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.08 => 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))) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__le__self,axiom, % 165.99/166.08 ! [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)) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__is__0__eq_H,axiom, % 165.99/166.08 ! [V_n,V_m] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__is__0__eq,axiom, % 165.99/166.08 ! [V_n_2,V_m_2] : % 165.99/166.08 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_Suc__diff__le,axiom, % 165.99/166.08 ! [V_m,V_n] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.08 => 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)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_zero__reorient,axiom, % 165.99/166.08 ! [V_x_2,T_b] : % 165.99/166.08 ( class_Groups_Ozero(T_b) % 165.99/166.08 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 165.99/166.08 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__eq__diff__eq,axiom, % 165.99/166.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.08 ( class_Groups_Oab__group__add(T_b) % 165.99/166.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 165.99/166.08 => ( V_a_2 = V_b_2 % 165.99/166.08 <=> V_c_2 = V_d_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__image,axiom, % 165.99/166.08 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_the__sym__eq__trivial,axiom, % 165.99/166.08 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_the__eq__trivial,axiom, % 165.99/166.08 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 165.99/166.08 ! [V_n_2,V_m_2] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 165.99/166.08 <=> 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)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_def__coinduct__set,axiom, % 165.99/166.08 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 165.99/166.08 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.08 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)))) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_coinduct__set,axiom, % 165.99/166.08 ! [V_X_2,V_a_2,V_f_2,T_b] : % 165.99/166.08 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_psubset__insert__iff,axiom, % 165.99/166.08 ! [V_B_2,V_x_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 165.99/166.08 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 165.99/166.08 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 165.99/166.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 165.99/166.08 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.08 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2) % 165.99/166.08 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_def__coinduct,axiom, % 165.99/166.08 ! [V_X_2,V_f_2,V_A_2,T_b] : % 165.99/166.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.08 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 165.99/166.08 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2)))) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_coinduct__lemma,axiom, % 165.99/166.08 ! [V_f_2,V_X_2,T_b] : % 165.99/166.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 165.99/166.08 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__triv,axiom, % 165.99/166.08 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_diff__commute,axiom, % 165.99/166.08 ! [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) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__irrefl,axiom, % 165.99/166.08 ! [V_x,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__neq__iff,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.08 => ( V_x_2 != V_y_2 % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_not__less__iff__gr__or__eq,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 165.99/166.08 | V_x_2 = V_y_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__less__linear,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 | V_x = V_y % 165.99/166.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__antisym__conv3,axiom, % 165.99/166.08 ! [V_x_2,V_y_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> V_x_2 = V_y_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__neqE,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( V_x != V_y % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_less__imp__neq,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => V_x != V_y ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__not__sym,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__imp__not__less,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__imp__not__eq,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => V_x != V_y ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__imp__not__eq2,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => V_y != V_x ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__asym_H,axiom, % 165.99/166.08 ! [V_b,V_a,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_xt1_I9_J,axiom, % 165.99/166.08 ! [V_a,V_b,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_ord__eq__less__trans,axiom, % 165.99/166.08 ! [V_c,V_b,V_a,T_a] : % 165.99/166.08 ( class_Orderings_Oord(T_a) % 165.99/166.08 => ( V_a = V_b % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_xt1_I1_J,axiom, % 165.99/166.08 ! [V_c,V_b,V_a,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( V_a = V_b % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_psubset__trans,axiom, % 165.99/166.08 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_ord__less__eq__trans,axiom, % 165.99/166.08 ! [V_c,V_b,V_a,T_a] : % 165.99/166.08 ( class_Orderings_Oord(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.08 => ( V_b = V_c % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_xt1_I2_J,axiom, % 165.99/166.08 ! [V_c,V_a,V_b,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.08 => ( V_b = V_c % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__trans,axiom, % 165.99/166.08 ! [V_z,V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_xt1_I10_J,axiom, % 165.99/166.08 ! [V_z,V_x,V_y,T_a] : % 165.99/166.08 ( class_Orderings_Oorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__asym,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Opreorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__cases,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => ( V_x != V_y % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__idem__iff,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 165.99/166.08 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 165.99/166.08 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__upd,axiom, % 165.99/166.08 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__same,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__apply,axiom, % 165.99/166.08 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 165.99/166.08 ( ( V_z_2 = V_x_2 % 165.99/166.08 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 165.99/166.08 & ( V_z_2 != V_x_2 % 165.99/166.08 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__twist,axiom, % 165.99/166.08 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 165.99/166.08 ( V_a_2 != V_c_2 % 165.99/166.08 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__other,axiom, % 165.99/166.08 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 165.99/166.08 ( V_z_2 != V_x_2 % 165.99/166.08 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__idem,axiom, % 165.99/166.08 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 165.99/166.08 ( hAPP(V_f_2,V_x_2) = V_y_2 % 165.99/166.08 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fun__upd__def,axiom, % 165.99/166.08 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 165.99/166.08 ( ( V_x_2 = V_a_2 % 165.99/166.08 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 165.99/166.08 & ( V_x_2 != V_a_2 % 165.99/166.08 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 165.99/166.08 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 165.99/166.08 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ). % 165.99/166.08 % 165.99/166.08 fof(fact_less__fun__def,axiom, % 165.99/166.08 ! [V_g_2,V_f_2,T_b,T_c] : % 165.99/166.08 ( class_Orderings_Oord(T_c) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.99/166.08 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__not__less,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__not__le,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__le__less__linear,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__less__le,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Oorder(T_b) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.08 & V_x_2 != V_y_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_less__le__not__le,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Opreorder(T_b) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.08 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_order__le__less,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Oorder(T_b) % 165.99/166.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.08 | V_x_2 = V_y_2 ) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_leI,axiom, % 165.99/166.08 ! [V_y,V_x,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_not__leE,axiom, % 165.99/166.08 ! [V_x,V_y,T_a] : % 165.99/166.08 ( class_Orderings_Olinorder(T_a) % 165.99/166.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 165.99/166.08 % 165.99/166.08 fof(fact_linorder__antisym__conv1,axiom, % 165.99/166.08 ! [V_y_2,V_x_2,T_b] : % 165.99/166.08 ( class_Orderings_Olinorder(T_b) % 165.99/166.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.09 <=> V_x_2 = V_y_2 ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__neq__le__trans,axiom, % 165.99/166.09 ! [V_b,V_a,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( V_a != V_b % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_xt1_I12_J,axiom, % 165.99/166.09 ! [V_b,V_a,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( V_a != V_b % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_leD,axiom, % 165.99/166.09 ! [V_x,V_y,T_a] : % 165.99/166.09 ( class_Orderings_Olinorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__less__imp__le,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Orderings_Opreorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_linorder__antisym__conv2,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,T_b] : % 165.99/166.09 ( class_Orderings_Olinorder(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 165.99/166.09 <=> V_x_2 = V_y_2 ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__le__imp__less__or__eq,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.09 | V_x = V_y ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__le__neq__trans,axiom, % 165.99/166.09 ! [V_b,V_a,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.09 => ( V_a != V_b % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_xt1_I11_J,axiom, % 165.99/166.09 ! [V_a,V_b,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.09 => ( V_a != V_b % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__less__le__trans,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Orderings_Opreorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_xt1_I7_J,axiom, % 165.99/166.09 ! [V_z,V_x,V_y,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__le__less__trans,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Orderings_Opreorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_xt1_I8_J,axiom, % 165.99/166.09 ! [V_z,V_x,V_y,T_a] : % 165.99/166.09 ( class_Orderings_Oorder(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_psubsetD,axiom, % 165.99/166.09 ! [V_c_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_not__psubset__empty,axiom, % 165.99/166.09 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__eq__diff__less,axiom, % 165.99/166.09 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.09 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.09 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__supI1,axiom, % 165.99/166.09 ! [V_b,V_a,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__sup(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 165.99/166.09 => 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))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__supI2,axiom, % 165.99/166.09 ! [V_a,V_b,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__sup(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 165.99/166.09 => 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))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_psubset__eq,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 & V_A_2 != V_B_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_subset__iff__psubset__eq,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 | V_A_2 = V_B_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_psubset__imp__subset,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_psubset__subset__trans,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_subset__psubset__trans,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gfp__upperbound,axiom, % 165.99/166.09 ! [V_f_2,V_X_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_not__less__Least,axiom, % 165.99/166.09 ! [V_P_2,V_k_2,T_b] : % 165.99/166.09 ( class_Orderings_Owellorder(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_P_2))) % 165.99/166.09 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_def__gfp__unfold,axiom, % 165.99/166.09 ! [V_f_2,V_A_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gfp__unfold,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__iff__diff__less__0,axiom, % 165.99/166.09 ! [V_b_2,V_a_2,T_b] : % 165.99/166.09 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_weak__coinduct,axiom, % 165.99/166.09 ! [V_f_2,V_X_2,V_a_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_nat__case__0,axiom, % 165.99/166.09 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 165.99/166.09 % 165.99/166.09 fof(fact_nat__case__Suc,axiom, % 165.99/166.09 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gfp__lemma2,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gfp__lemma3,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_weak__coinduct__image,axiom, % 165.99/166.09 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gfp__fun__UnI2,axiom, % 165.99/166.09 ! [V_X_2,V_a_2,V_f_2,T_b] : % 165.99/166.09 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_coinduct,axiom, % 165.99/166.09 ! [V_X_2,V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_coinduct3,axiom, % 165.99/166.09 ! [V_X_2,V_a_2,V_f_2,T_b] : % 165.99/166.09 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_def__coinduct3,axiom, % 165.99/166.09 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 165.99/166.09 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2))))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 165.99/166.09 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 165.99/166.09 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 165.99/166.09 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.09 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 165.99/166.09 | ? [B_x,B_y] : % 165.99/166.09 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 165.99/166.09 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 165.99/166.09 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_coinduct3__lemma,axiom, % 165.99/166.09 ! [V_f_2,V_X_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__Suc,axiom, % 165.99/166.09 ! [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)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_order__fun_I2_J,axiom, % 165.99/166.09 ! [V_g_2,V_f_2,T_b,T_c] : % 165.99/166.09 ( ( class_Orderings_Oorder(T_c) % 165.99/166.09 & class_Enum_Oenum(T_b) ) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 165.99/166.09 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__diff1__nat,axiom, % 165.99/166.09 ! [V_f_2,V_A_2,V_a_2,T_b] : % 165.99/166.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 165.99/166.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__insert,axiom, % 165.99/166.09 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 165.99/166.09 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Least__Suc2,axiom, % 165.99/166.09 ! [V_m_2,V_Q_2,V_n_2,V_P_2] : % 165.99/166.09 ( hBOOL(hAPP(V_P_2,V_n_2)) % 165.99/166.09 => ( hBOOL(hAPP(V_Q_2,V_m_2)) % 165.99/166.09 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 165.99/166.09 => ( ! [B_k] : % 165.99/166.09 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_k))) % 165.99/166.09 <=> hBOOL(hAPP(V_Q_2,B_k)) ) % 165.99/166.09 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Q_2)) ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_the__inv__into__def,axiom, % 165.99/166.09 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__zeroE,axiom, % 165.99/166.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lessI,axiom, % 165.99/166.09 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__mono,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_zero__less__Suc,axiom, % 165.99/166.09 ! [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))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__empty,axiom, % 165.99/166.09 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__commute,axiom, % 165.99/166.09 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__def,axiom, % 165.99/166.09 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 <=> ! [B_x] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.09 => ! [B_xa] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 165.99/166.09 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 165.99/166.09 => B_x = B_xa ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__id2,axiom, % 165.99/166.09 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_the__inv__into__f__f,axiom, % 165.99/166.09 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.09 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_the__inv__into__f__eq,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.09 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_enum__ex,axiom, % 165.99/166.09 ! [V_P_2,T_b] : % 165.99/166.09 ( class_Enum_Oenum(T_b) % 165.99/166.09 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) % 165.99/166.09 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_exists__code,axiom, % 165.99/166.09 ! [V_P_2,T_b] : % 165.99/166.09 ( class_Enum_Oenum(T_b) % 165.99/166.09 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.09 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_the__inv__into__onto,axiom, % 165.99/166.09 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__the__inv__into,axiom, % 165.99/166.09 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lfp__const,axiom, % 165.99/166.09 ! [V_t_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__contraD,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( V_x_2 != V_y_2 % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 165.99/166.09 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__iff,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 165.99/166.09 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 165.99/166.09 <=> V_x_2 = V_y_2 ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__onD,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 165.99/166.09 => V_x_2 = V_y_2 ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__Suc,axiom, % 165.99/166.09 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_subset__inj__on,axiom, % 165.99/166.09 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__diff,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_f__the__inv__into__f,axiom, % 165.99/166.09 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.09 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gr0I,axiom, % 165.99/166.09 ! [V_n] : % 165.99/166.09 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gr__implies__not0,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__nat__zero__code,axiom, % 165.99/166.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_neq0__conv,axiom, % 165.99/166.09 ! [V_n_2] : % 165.99/166.09 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_not__less0,axiom, % 165.99/166.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_not__less__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__Suc__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 | V_m_2 = V_n_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__less__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( 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))) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_not__less__less__Suc__eq,axiom, % 165.99/166.09 ! [V_m_2,V_n_2] : % 165.99/166.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 165.99/166.09 <=> V_n_2 = V_m_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__antisym,axiom, % 165.99/166.09 ! [V_m,V_n] : % 165.99/166.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 165.99/166.09 => V_m = V_n ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__SucI,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__lessI,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__trans__Suc,axiom, % 165.99/166.09 ! [V_k,V_j,V_i] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__SucE,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 165.99/166.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => V_m = V_n ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__lessD,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__less__SucD,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__or__eq__imp__le,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 | V_m = V_n ) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__neq__implies__less,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => ( V_m != V_n % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__imp__le__nat,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__eq__less__or__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 | V_m_2 = V_n_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_nat__less__le,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 & V_m_2 != V_n_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__less__mono2,axiom, % 165.99/166.09 ! [V_l,V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 165.99/166.09 => 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))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__imp__diff__less,axiom, % 165.99/166.09 ! [V_n,V_k,V_j] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__0,axiom, % 165.99/166.09 ! [V_A_2,T_c,T_b] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__subtractf,axiom, % 165.99/166.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( class_Groups_Oab__group__add(T_b) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lfp__lowerbound,axiom, % 165.99/166.09 ! [V_A_2,V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_the__inv__into__into,axiom, % 165.99/166.09 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__empty,axiom, % 165.99/166.09 ! [V_f_2,T_c,T_b] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum_Oempty,axiom, % 165.99/166.09 ! [V_g_2,T_c,T_b] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__Un__image__eq__iff,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 165.99/166.09 <=> V_A_2 = V_B_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lfp__unfold,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_def__lfp__unfold,axiom, % 165.99/166.09 ! [V_f_2,V_h_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__strict__subset,axiom, % 165.99/166.09 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__Suc__eq__0__disj,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 165.99/166.09 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.09 | ? [B_j] : % 165.99/166.09 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 165.99/166.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__Suc0,axiom, % 165.99/166.09 ! [V_n_2] : % 165.99/166.09 ( 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)))) % 165.99/166.09 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_gr0__conv__Suc,axiom, % 165.99/166.09 ! [V_n_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 165.99/166.09 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__le__lessD,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__less__Suc__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 165.99/166.09 <=> V_n_2 = V_m_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__leI,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__imp__less__Suc,axiom, % 165.99/166.09 ! [V_n,V_m] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__le__eq,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__Suc__eq__le,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__eq__Suc__le,axiom, % 165.99/166.09 ! [V_m_2,V_n_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__less,axiom, % 165.99/166.09 ! [V_m,V_n] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 165.99/166.09 => 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)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_zero__less__diff,axiom, % 165.99/166.09 ! [V_m_2,V_n_2] : % 165.99/166.09 ( 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))) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__less__Suc,axiom, % 165.99/166.09 ! [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))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__diff__iff,axiom, % 165.99/166.09 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 165.99/166.09 => ( 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))) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__less__mono,axiom, % 165.99/166.09 ! [V_c,V_b,V_a] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 165.99/166.09 => 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))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__eq__Suc__le__raw,axiom, % 165.99/166.09 ! [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)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__image__set__diff,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.09 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__fun__updI,axiom, % 165.99/166.09 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.09 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Suc__pred,axiom, % 165.99/166.09 ! [V_n] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.09 => 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 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_diff__Suc__less,axiom, % 165.99/166.09 ! [V_i,V_n] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lfp__lemma2,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_lfp__lemma3,axiom, % 165.99/166.09 ! [V_f_2,T_b] : % 165.99/166.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__iff__surj,axiom, % 165.99/166.09 ! [V_A_H_2,T_c,T_b,V_A_2] : % 165.99/166.09 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.09 => ( ? [B_f] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 165.99/166.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 165.99/166.09 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__diff1,axiom, % 165.99/166.09 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Groups_Oab__group__add(T_c) % 165.99/166.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 165.99/166.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__diff1__ring,axiom, % 165.99/166.09 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Rings_Oring(T_c) % 165.99/166.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__Un,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 165.99/166.09 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__reindex__cong,axiom, % 165.99/166.09 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_d) % 165.99/166.09 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 165.99/166.09 => ( ! [B_a] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 165.99/166.09 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__diff__nat,axiom, % 165.99/166.09 ! [V_f_2,V_A_2,V_B_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__diff,axiom, % 165.99/166.09 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Groups_Oab__group__add(T_c) % 165.99/166.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__mono,axiom, % 165.99/166.09 ! [V_g_2,V_f_2,V_K_2,T_b,T_c] : % 165.99/166.09 ( ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.09 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 165.99/166.09 => ( ! [B_i] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_K_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),hAPP(V_g_2,B_i))) ) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_K_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_K_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_mk__less__def,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,V_R_2,T_b] : % 165.99/166.09 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 165.99/166.09 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__SucD,axiom, % 165.99/166.09 ! [V_n_2,V_A_2,V_f_2,T_b] : % 165.99/166.09 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 165.99/166.09 => ? [B_x] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.09 & 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))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf1I,axiom, % 165.99/166.09 ! [T_b,V_B_2,V_x_2,V_A_2] : % 165.99/166.09 ( hBOOL(hAPP(V_A_2,V_x_2)) % 165.99/166.09 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf1E,axiom, % 165.99/166.09 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 165.99/166.09 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 165.99/166.09 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_IntI,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_IntE,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.09 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.09 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__not__refl,axiom, % 165.99/166.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_nat__neq__iff,axiom, % 165.99/166.09 ! [V_n_2,V_m_2] : % 165.99/166.09 ( V_m_2 != V_n_2 % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_linorder__neqE__nat,axiom, % 165.99/166.09 ! [V_y,V_x] : % 165.99/166.09 ( V_x != V_y % 165.99/166.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__irrefl__nat,axiom, % 165.99/166.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__not__refl2,axiom, % 165.99/166.09 ! [V_m,V_n] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 165.99/166.09 => V_m != V_n ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__not__refl3,axiom, % 165.99/166.09 ! [V_t,V_s] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 165.99/166.09 => V_s != V_t ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_nat__less__cases,axiom, % 165.99/166.09 ! [V_P_2,V_n_2,V_m_2] : % 165.99/166.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 165.99/166.09 => ( ( V_m_2 = V_n_2 % 165.99/166.09 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 165.99/166.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 165.99/166.09 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__absorb,axiom, % 165.99/166.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf_Oidem,axiom, % 165.99/166.09 ! [V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__idem,axiom, % 165.99/166.09 ! [V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__fun__def,axiom, % 165.99/166.09 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( class_Lattices_Olattice(T_b) % 165.99/166.09 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__commute,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf_Ocommute,axiom, % 165.99/166.09 ! [V_b,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__aci_I1_J,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__commute,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__left__absorb,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf_Oleft__idem,axiom, % 165.99/166.09 ! [V_b,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__aci_I4_J,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__left__idem,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__left__commute,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf_Oleft__commute,axiom, % 165.99/166.09 ! [V_c,V_a,V_b,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__aci_I3_J,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__left__commute,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__assoc,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf_Oassoc,axiom, % 165.99/166.09 ! [V_c,V_b,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__aci_I2_J,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__assoc,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__apply,axiom, % 165.99/166.09 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( class_Lattices_Olattice(T_b) % 165.99/166.09 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf1D1,axiom, % 165.99/166.09 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 165.99/166.09 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf1D2,axiom, % 165.99/166.09 ! [V_x_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 165.99/166.09 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Inf__fin_Oidem,axiom, % 165.99/166.09 ! [V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Pow__Int__eq,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__ord_I1_J,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__le1,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__ord_I2_J,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__le2,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__iff__inf,axiom, % 165.99/166.09 ! [V_y_2,V_x_2,T_b] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__inf__iff,axiom, % 165.99/166.09 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2))) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__infI1,axiom, % 165.99/166.09 ! [V_b,V_x,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.99/166.09 => 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)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__infI2,axiom, % 165.99/166.09 ! [V_a,V_x,V_b,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 165.99/166.09 => 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)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__absorb1,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__absorb2,axiom, % 165.99/166.09 ! [V_x,V_y,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__infI,axiom, % 165.99/166.09 ! [V_b,V_a,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 165.99/166.09 => 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))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__greatest,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 165.99/166.09 => 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))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__mono,axiom, % 165.99/166.09 ! [V_d,V_b,V_c,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 165.99/166.09 => 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))) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_le__infE,axiom, % 165.99/166.09 ! [V_b,V_a,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( 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))) % 165.99/166.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__infI1,axiom, % 165.99/166.09 ! [V_b,V_x,V_a,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 165.99/166.09 => 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)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_less__infI2,axiom, % 165.99/166.09 ! [V_a,V_x,V_b,T_a] : % 165.99/166.09 ( class_Lattices_Osemilattice__inf(T_a) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 165.99/166.09 => 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)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__bot__left,axiom, % 165.99/166.09 ! [V_x,T_a] : % 165.99/166.09 ( class_Lattices_Obounded__lattice__bot(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__bot__right,axiom, % 165.99/166.09 ! [V_x,T_a] : % 165.99/166.09 ( class_Lattices_Obounded__lattice__bot(T_a) % 165.99/166.09 => 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) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__absorb,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_sup__inf__absorb,axiom, % 165.99/166.09 ! [V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__distrib1,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Odistrib__lattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_sup__inf__distrib1,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Odistrib__lattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__sup__distrib2,axiom, % 165.99/166.09 ! [V_x,V_z,V_y,T_a] : % 165.99/166.09 ( class_Lattices_Odistrib__lattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_sup__inf__distrib2,axiom, % 165.99/166.09 ! [V_x,V_z,V_y,T_a] : % 165.99/166.09 ( class_Lattices_Odistrib__lattice(T_a) % 165.99/166.09 => 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)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__iff,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.09 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.09 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_IntD1,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_IntD2,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_c_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__empty__left,axiom, % 165.99/166.09 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__empty__right,axiom, % 165.99/166.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_disjoint__iff__not__equal,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( 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)) % 165.99/166.09 <=> ! [B_x] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.09 => ! [B_xa] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 165.99/166.09 => B_x != B_xa ) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_insert__inter__insert,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__lower1,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__lower2,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__absorb2,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__absorb1,axiom, % 165.99/166.09 ! [V_A_2,V_B_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__greatest,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_C_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__mono,axiom, % 165.99/166.09 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.99/166.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__Un__distrib,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Un__Int__distrib,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__Un__distrib2,axiom, % 165.99/166.09 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Un__Int__distrib2,axiom, % 165.99/166.09 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Un__Int__crazy,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__Int__distrib,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__Diff,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__Int__distrib2,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__Int2,axiom, % 165.99/166.09 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inj__on__Int,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.09 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 165.99/166.09 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_inf__Int__eq,axiom, % 165.99/166.09 ! [V_x_2,V_S_2,V_R_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__restrict__set,axiom, % 165.99/166.09 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_distrib__sup__le,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_distrib__inf__le,axiom, % 165.99/166.09 ! [V_z,V_y,V_x,T_a] : % 165.99/166.09 ( class_Lattices_Olattice(T_a) % 165.99/166.09 => 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)))) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__right,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_a_2,T_b] : % 165.99/166.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 165.99/166.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__left,axiom, % 165.99/166.09 ! [V_B_2,V_C_2,V_a_2,T_b] : % 165.99/166.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 165.99/166.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__right__if0,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_a_2,T_b] : % 165.99/166.09 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__left__if0,axiom, % 165.99/166.09 ! [V_B_2,V_C_2,V_a_2,T_b] : % 165.99/166.09 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__right__if1,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_a_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Int__insert__left__if1,axiom, % 165.99/166.09 ! [V_B_2,V_C_2,V_a_2,T_b] : % 165.99/166.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 165.99/166.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_mono__inf,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 165.99/166.09 ( ( class_Lattices_Osemilattice__inf(T_c) % 165.99/166.09 & class_Lattices_Osemilattice__inf(T_b) ) % 165.99/166.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_image__Int__subset,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__disjoint,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__triv,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : % 165.99/166.09 ( 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)) % 165.99/166.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Un__Int__assoc__eq,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : % 165.99/166.09 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Un__Diff__Int,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__Un,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_Diff__Int,axiom, % 165.99/166.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum_Oinfinite,axiom, % 165.99/166.09 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_setsum__infinite,axiom, % 165.99/166.09 ! [V_f_2,V_A_2,T_b,T_c] : % 165.99/166.09 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 165.99/166.09 % 165.99/166.09 fof(fact_mono__Int,axiom, % 165.99/166.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.09 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 165.99/166.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ). % 165.99/166.09 % 165.99/166.10 fof(fact_setsum__eq__0__iff,axiom, % 165.99/166.10 ! [V_f_2,V_F_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.10 <=> ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 165.99/166.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_inj__on__image__Int,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 165.99/166.10 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_lfp__induct,axiom, % 165.99/166.10 ! [V_P_2,V_f_2,T_b] : % 165.99/166.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_def__lfp__induct,axiom, % 165.99/166.10 ! [V_P_2,V_f_2,V_A_2,T_b] : % 165.99/166.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.10 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 165.99/166.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__eq__Suc0__iff,axiom, % 165.99/166.10 ! [V_f_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.10 <=> ? [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.10 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.10 & ! [B_xa] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 165.99/166.10 => ( B_x != B_xa % 165.99/166.10 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__delta,axiom, % 165.99/166.10 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 165.99/166.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__delta_H,axiom, % 165.99/166.10 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 165.99/166.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Diff,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Int,axiom, % 165.99/166.10 ! [V_G_2,V_F_2,T_b] : % 165.99/166.10 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__imageI,axiom, % 165.99/166.10 ! [V_h_2,T_c,V_F_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite_OinsertI,axiom, % 165.99/166.10 ! [V_a_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite_OemptyI,axiom, % 165.99/166.10 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__surj__inj,axiom, % 165.99/166.10 ! [V_f_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 165.99/166.10 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_endo__inj__surj,axiom, % 165.99/166.10 ! [V_f_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 165.99/166.10 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 165.99/166.10 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__imageD,axiom, % 165.99/166.10 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 165.99/166.10 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Diff__insert,axiom, % 165.99/166.10 ! [V_B_2,V_a_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)))) % 165.99/166.10 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( class_Finite__Set_Ofinite(T_b) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__code,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( class_Finite__Set_Ofinite(T_b) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite_Oequations_I1_J,axiom, % 165.99/166.10 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__insert,axiom, % 165.99/166.10 ! [V_A_2,V_a_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 165.99/166.10 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__subset,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_rev__finite__subset,axiom, % 165.99/166.10 ! [V_A_2,V_B_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__UnI,axiom, % 165.99/166.10 ! [V_G_2,V_F_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Un,axiom, % 165.99/166.10 ! [V_G_2,V_F_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) % 165.99/166.10 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Diff2,axiom, % 165.99/166.10 ! [V_A_2,V_B_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.10 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__Pow__iff,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 165.99/166.10 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__surj,axiom, % 165.99/166.10 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Oremove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Oremove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__mono2,axiom, % 165.99/166.10 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.10 => ( ! [B_b] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__mono3,axiom, % 165.99/166.10 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 165.99/166.10 ( ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.10 => ( ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Ounion__inter,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => 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)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Ounion__disjoint,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => 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)) ) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Oinsert__remove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Oempty,axiom, % 165.99/166.10 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Osingleton,axiom, % 165.99/166.10 ! [V_x_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Oinsert,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Ounion__inter,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.10 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Oinsert,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_termination__basic__simps_I5_J,axiom, % 165.99/166.10 ! [V_y,V_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oremove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oremove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one_Oclosed,axiom, % 165.99/166.10 ! [V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__nonneg__0,axiom, % 165.99/166.10 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Oordered__ab__group__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 165.99/166.10 => ( ! [B_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 165.99/166.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 165.99/166.10 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__nonneg__leq__bound,axiom, % 165.99/166.10 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Oordered__ab__group__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 165.99/166.10 => ( ! [B_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 165.99/166.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__mono__zero__right,axiom, % 165.99/166.10 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 165.99/166.10 => ( ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 165.99/166.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__mono__zero__left,axiom, % 165.99/166.10 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 165.99/166.10 => ( ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 165.99/166.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__empty__induct,axiom, % 165.99/166.10 ! [V_P_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 165.99/166.10 => ( ! [B_a,B_A] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 165.99/166.10 => ( hBOOL(hAPP(V_P_2,B_A)) % 165.99/166.10 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 165.99/166.10 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__le__Sup,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Osingleton,axiom, % 165.99/166.10 ! [V_x_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Osingleton,axiom, % 165.99/166.10 ! [V_x_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oin__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_sup__Inf__absorb,axiom, % 165.99/166.10 ! [V_a_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oin__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_inf__Sup__absorb,axiom, % 165.99/166.10 ! [V_a_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oinsert__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oinsert__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Osubset__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Osubset__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Ounion__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Ounion__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oinsert,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oinsert,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oinsert__remove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oinsert__remove,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Ounion__inter,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Ounion__inter,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Oclosed,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Oclosed,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Inf__fin_Ohom__commute,axiom, % 165.99/166.10 ! [V_N_2,V_h_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.10 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Sup__fin_Ohom__commute,axiom, % 165.99/166.10 ! [V_N_2,V_h_2,T_b] : % 165.99/166.10 ( class_Lattices_Olattice(T_b) % 165.99/166.10 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.10 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Ounion__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => 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)) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_finite__subset__induct,axiom, % 165.99/166.10 ! [V_P_2,V_A_2,V_F_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.10 => ( ! [B_a,B_F] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 165.99/166.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 165.99/166.10 => ( hBOOL(hAPP(V_P_2,B_F)) % 165.99/166.10 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 165.99/166.10 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Osubset__idem,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.10 => 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) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__strict__mono,axiom, % 165.99/166.10 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.10 ( ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => ( ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Oidem,axiom, % 165.99/166.10 ! [V_x_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Oin__idem,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum_Oremove,axiom, % 165.99/166.10 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__diff1_H,axiom, % 165.99/166.10 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_image__eq__fold__image,axiom, % 165.99/166.10 ! [V_f_2,T_c,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__Diff2__less,axiom, % 165.99/166.10 ! [V_y_2,V_x_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__Diff1__less,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__Suc__Diff1,axiom, % 165.99/166.10 ! [V_x_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.10 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__one__idem_Ohom__commute,axiom, % 165.99/166.10 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 165.99/166.10 => ( ! [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)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.10 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.10 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem__remove,axiom, % 165.99/166.10 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.10 => ( ! [B_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.10 => hAPP(V_g_2,B_x) = V_z_2 ) % 165.99/166.10 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__right__imp__eq,axiom, % 165.99/166.10 ! [V_c,V_a,V_b,T_a] : % 165.99/166.10 ( class_Groups_Ocancel__semigroup__add(T_a) % 165.99/166.10 => ( 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) % 165.99/166.10 => V_b = V_c ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__imp__eq,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( 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) % 165.99/166.10 => V_b = V_c ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__left__imp__eq,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Ocancel__semigroup__add(T_a) % 165.99/166.10 => ( 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) % 165.99/166.10 => V_b = V_c ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__right__cancel,axiom, % 165.99/166.10 ! [V_c_2,V_a_2,V_b_2,T_b] : % 165.99/166.10 ( class_Groups_Ocancel__semigroup__add(T_b) % 165.99/166.10 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2) % 165.99/166.10 <=> V_b_2 = V_c_2 ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__left__cancel,axiom, % 165.99/166.10 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Ocancel__semigroup__add(T_b) % 165.99/166.10 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2) % 165.99/166.10 <=> V_b_2 = V_c_2 ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oab__semigroup__add(T_a) % 165.99/166.10 => 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)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 165.99/166.10 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 165.99/166.10 => 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) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 165.99/166.10 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 165.99/166.10 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__imp__le__left,axiom, % 165.99/166.10 ! [V_b,V_a,V_c,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.10 => ( 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))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__imp__le__right,axiom, % 165.99/166.10 ! [V_b,V_c,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.10 => ( 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))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__mono,axiom, % 165.99/166.10 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__left__mono,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__right__mono,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__cancel__left,axiom, % 165.99/166.10 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__cancel__right,axiom, % 165.99/166.10 ! [V_b_2,V_c_2,V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__0__left,axiom, % 165.99/166.10 ! [V_a,T_a] : % 165.99/166.10 ( class_Groups_Omonoid__add(T_a) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__0,axiom, % 165.99/166.10 ! [V_a,T_a] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_a) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_double__zero__sym,axiom, % 165.99/166.10 ! [V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.10 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 165.99/166.10 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__0__right,axiom, % 165.99/166.10 ! [V_a,T_a] : % 165.99/166.10 ( class_Groups_Omonoid__add(T_a) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add_Ocomm__neutral,axiom, % 165.99/166.10 ! [V_a,T_a] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_a) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__imp__less__left,axiom, % 165.99/166.10 ! [V_b,V_a,V_c,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.10 => ( 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))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__imp__less__right,axiom, % 165.99/166.10 ! [V_b,V_c,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.10 => ( 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))) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__strict__mono,axiom, % 165.99/166.10 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__strict__left__mono,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__strict__right__mono,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__cancel__left,axiom, % 165.99/166.10 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__cancel__right,axiom, % 165.99/166.10 ! [V_b_2,V_c_2,V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__cancel,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Ogroup__add(T_a) % 165.99/166.10 => 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 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__diff__cancel,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Ogroup__add(T_a) % 165.99/166.10 => 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 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__eq__self__zero,axiom, % 165.99/166.10 ! [V_n,V_m] : % 165.99/166.10 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 165.99/166.10 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__is__0,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.10 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.10 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_Nat_Oadd__0__right,axiom, % 165.99/166.10 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 165.99/166.10 % 165.99/166.10 fof(fact_plus__nat_Oadd__0,axiom, % 165.99/166.10 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__Suc__right,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__Suc,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__Suc__shift,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_termination__basic__simps_I2_J,axiom, % 165.99/166.10 ! [V_y,V_z,V_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_termination__basic__simps_I1_J,axiom, % 165.99/166.10 ! [V_z,V_y,V_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__lessD1,axiom, % 165.99/166.10 ! [V_k,V_j,V_i] : % 165.99/166.10 ( 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)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_less__add__eq__less,axiom, % 165.99/166.10 ! [V_n,V_m,V_l,V_k] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 165.99/166.10 => ( 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) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__mono,axiom, % 165.99/166.10 ! [V_l,V_k,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__mono1,axiom, % 165.99/166.10 ! [V_k,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_trans__less__add2,axiom, % 165.99/166.10 ! [V_m,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_trans__less__add1,axiom, % 165.99/166.10 ! [V_m,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_nat__add__left__cancel__less,axiom, % 165.99/166.10 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.10 ( 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))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_not__add__less2,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_not__add__less1,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_termination__basic__simps_I3_J,axiom, % 165.99/166.10 ! [V_z,V_y,V_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_termination__basic__simps_I4_J,axiom, % 165.99/166.10 ! [V_y,V_z,V_x] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__leE,axiom, % 165.99/166.10 ! [V_n,V_k,V_m] : % 165.99/166.10 ( 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)) % 165.99/166.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__leD1,axiom, % 165.99/166.10 ! [V_n,V_k,V_m] : % 165.99/166.10 ( 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)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__leD2,axiom, % 165.99/166.10 ! [V_n,V_k,V_m] : % 165.99/166.10 ( 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)) % 165.99/166.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__mono,axiom, % 165.99/166.10 ! [V_l,V_k,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 165.99/166.10 => 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))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__mono1,axiom, % 165.99/166.10 ! [V_k,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_trans__le__add2,axiom, % 165.99/166.10 ! [V_m,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_trans__le__add1,axiom, % 165.99/166.10 ! [V_m,V_j,V_i] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.10 => 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))) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_nat__add__left__cancel__le,axiom, % 165.99/166.10 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.10 ( 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))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__iff__add,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.10 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__add1,axiom, % 165.99/166.10 ! [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))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__add2,axiom, % 165.99/166.10 ! [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))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__cancel2,axiom, % 165.99/166.10 ! [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) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__cancel,axiom, % 165.99/166.10 ! [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) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__diff__left,axiom, % 165.99/166.10 ! [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)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__inverse,axiom, % 165.99/166.10 ! [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 ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__inverse2,axiom, % 165.99/166.10 ! [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 ). % 165.99/166.10 % 165.99/166.10 fof(fact_fold__image__empty,axiom, % 165.99/166.10 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__Un__Int,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card_Ounion__inter,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum_Oeq__fold,axiom, % 165.99/166.10 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum_OF__eq,axiom, % 165.99/166.10 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.10 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) % 165.99/166.10 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_setsum__addf,axiom, % 165.99/166.10 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__Un__disjoint,axiom, % 165.99/166.10 ! [V_B_2,V_A_2,T_b] : % 165.99/166.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.10 => ( 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)) % 165.99/166.10 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem__insert,axiom, % 165.99/166.10 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card_Oempty,axiom, % 165.99/166.10 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__infinite,axiom, % 165.99/166.10 ! [V_A_2,T_b] : % 165.99/166.10 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.10 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 165.99/166.10 ! [V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 165.99/166.10 ! [V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__nonneg__nonneg,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__nonneg__eq__0__iff,axiom, % 165.99/166.10 ! [V_y_2,V_x_2,T_b] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 165.99/166.10 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.10 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.10 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__increasing,axiom, % 165.99/166.10 ! [V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__increasing2,axiom, % 165.99/166.10 ! [V_a,V_b,V_c,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__nonpos__nonpos,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__less__le__mono,axiom, % 165.99/166.10 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__le__less__mono,axiom, % 165.99/166.10 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 165.99/166.10 ! [V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 165.99/166.10 ! [V_a_2,T_b] : % 165.99/166.10 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__pos__pos,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__neg__neg,axiom, % 165.99/166.10 ! [V_b,V_a,T_a] : % 165.99/166.10 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.10 => 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))) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem__sup,axiom, % 165.99/166.10 ! [T_b] : % 165.99/166.10 ( class_Lattices_Osemilattice__sup(T_b) % 165.99/166.10 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_fun__left__comm__idem__inf,axiom, % 165.99/166.10 ! [T_b] : % 165.99/166.10 ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.10 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_card__image,axiom, % 165.99/166.10 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.10 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__is__1,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( 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)) % 165.99/166.10 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.10 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.10 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.10 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_one__is__add,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( 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) % 165.99/166.10 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.10 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.10 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.10 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__gr__0,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( 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))) % 165.99/166.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 165.99/166.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_less__iff__Suc__add,axiom, % 165.99/166.10 ! [V_n_2,V_m_2] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.10 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_less__add__Suc2,axiom, % 165.99/166.10 ! [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)))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_less__add__Suc1,axiom, % 165.99/166.10 ! [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)))) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__0,axiom, % 165.99/166.10 ! [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) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__diff__inverse,axiom, % 165.99/166.10 ! [V_n,V_m] : % 165.99/166.10 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.10 => 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 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_less__diff__conv,axiom, % 165.99/166.10 ! [V_k_2,V_j_2,V_i_2] : % 165.99/166.10 ( 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))) % 165.99/166.10 <=> 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)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__assoc2,axiom, % 165.99/166.10 ! [V_i,V_j,V_k] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.10 => 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) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_add__diff__assoc2,axiom, % 165.99/166.10 ! [V_i,V_j,V_k] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.10 => 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) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_diff__add__assoc,axiom, % 165.99/166.10 ! [V_i,V_j,V_k] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.10 => 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)) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__imp__diff__is__add,axiom, % 165.99/166.10 ! [V_k_2,V_j_2,V_i_2] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 165.99/166.10 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 165.99/166.10 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__add__diff__inverse2,axiom, % 165.99/166.10 ! [V_m,V_n] : % 165.99/166.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.10 => 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 ) ). % 165.99/166.10 % 165.99/166.10 fof(fact_le__diff__conv2,axiom, % 165.99/166.11 ! [V_i_2,V_j_2,V_k_2] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 165.99/166.11 => ( 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))) % 165.99/166.11 <=> 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)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__diff__assoc,axiom, % 165.99/166.11 ! [V_i,V_j,V_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_le__add__diff__inverse,axiom, % 165.99/166.11 ! [V_m,V_n] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.11 => 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 ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_le__add__diff,axiom, % 165.99/166.11 ! [V_m,V_n,V_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_le__diff__conv,axiom, % 165.99/166.11 ! [V_i_2,V_k_2,V_j_2] : % 165.99/166.11 ( 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)) % 165.99/166.11 <=> 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__diff__right,axiom, % 165.99/166.11 ! [V_i,V_j,V_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_inj__on__add__nat,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum_Odistrib,axiom, % 165.99/166.11 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 165.99/166.11 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.11 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__eq__0__iff,axiom, % 165.99/166.11 ! [V_A_2,T_b] : % 165.99/166.11 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__ge__0__finite,axiom, % 165.99/166.11 ! [V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 165.99/166.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__insert__le,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__mono,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__seteq,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 165.99/166.11 => V_A_2 = V_B_2 ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__image__le,axiom, % 165.99/166.11 ! [V_f_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__pos__nonneg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__nonneg__pos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__strict__increasing,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__strict__increasing2,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__neg__nonpos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__nonpos__neg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oordered__comm__monoid__add(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_eq__card__imp__inj__on,axiom, % 165.99/166.11 ! [V_f_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 165.99/166.11 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_inj__on__iff__eq__card,axiom, % 165.99/166.11 ! [V_f_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.11 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_pigeonhole,axiom, % 165.99/166.11 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 165.99/166.11 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_psubset__card__mono,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__diff__split__asm,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,V_P_2] : % 165.99/166.11 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 165.99/166.11 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 165.99/166.11 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 165.99/166.11 | ? [B_d] : % 165.99/166.11 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 165.99/166.11 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__diff__split,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,V_P_2] : % 165.99/166.11 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 165.99/166.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 165.99/166.11 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 165.99/166.11 & ! [B_d] : % 165.99/166.11 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 165.99/166.11 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__Suc__diff__eq1,axiom, % 165.99/166.11 ! [V_m,V_j,V_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__Suc__diff__eq2,axiom, % 165.99/166.11 ! [V_m,V_j,V_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__insert__if,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) % 165.99/166.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__insert__disjoint,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__gt__0__iff,axiom, % 165.99/166.11 ! [V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 165.99/166.11 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__bij__eq,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 165.99/166.11 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff__subset,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff__subset__Int,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__card__le__card__Diff,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum_Oinsert,axiom, % 165.99/166.11 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__insert,axiom, % 165.99/166.11 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__psubset,axiom, % 165.99/166.11 ! [V_A_2,V_B_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__Un__Int,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__insert,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff1__le,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__inj__on__le,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum_Oinsert__remove,axiom, % 165.99/166.11 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__Un__disjoint,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( 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)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__Un,axiom, % 165.99/166.11 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Oab__group__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__Un__nat,axiom, % 165.99/166.11 ! [V_f_2,V_B_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_inj__on__iff__card__le,axiom, % 165.99/166.11 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.11 => ( ? [B_f] : % 165.99/166.11 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_even__less__0__iff,axiom, % 165.99/166.11 ! [V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_pos__add__strict,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__monoid__big_OF__eq,axiom, % 165.99/166.11 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 165.99/166.11 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.11 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) % 165.99/166.11 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.11 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum_Ounion__inter__neutral,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( ! [B_x] : % 165.99/166.11 ( 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))) % 165.99/166.11 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__Un__zero,axiom, % 165.99/166.11 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.11 => ( ! [B_x] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 165.99/166.11 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Suc__eq,axiom, % 165.99/166.11 ! [V_k_2,V_A_2,T_b] : % 165.99/166.11 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 165.99/166.11 <=> ? [B_b,B_B] : % 165.99/166.11 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 165.99/166.11 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 165.99/166.11 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 165.99/166.11 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff__singleton__if,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 165.99/166.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff__singleton,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__add__right__cancel,axiom, % 165.99/166.11 ! [V_n_2,V_k_2,V_m_2] : % 165.99/166.11 ( 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) % 165.99/166.11 <=> V_m_2 = V_n_2 ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__add__left__cancel,axiom, % 165.99/166.11 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.11 ( 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) % 165.99/166.11 <=> V_m_2 = V_n_2 ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__add__assoc,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__add__left__commute,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__add__commute,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_one__neq__zero,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Ozero__neq__one(T_a) % 165.99/166.11 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__neq__one,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Ozero__neq__one(T_a) % 165.99/166.11 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_one__reorient,axiom, % 165.99/166.11 ! [V_x_2,T_b] : % 165.99/166.11 ( class_Groups_Oone(T_b) % 165.99/166.11 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 165.99/166.11 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Suc__eq__plus1,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Suc__eq__plus1__left,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__le__one,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_not__one__le__zero,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => ~ 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__less__one,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_not__one__less__zero,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_less__add__one,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => 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)))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__def,axiom, % 165.99/166.11 ! [V_A_2,T_b] : % 165.99/166.11 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 165.99/166.11 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card_Oeq__fold__g,axiom, % 165.99/166.11 ! [V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__less__two,axiom, % 165.99/166.11 ! [T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.11 => 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)))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_One__nat__def,axiom, % 165.99/166.11 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__Suc__eq__diff__pred,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__Suc__1,axiom, % 165.99/166.11 ! [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 ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__eq__setsum,axiom, % 165.99/166.11 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__eq__if,axiom, % 165.99/166.11 ! [V_n,V_m] : % 165.99/166.11 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 165.99/166.11 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 => 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)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_linorder__neqE__linordered__idom,axiom, % 165.99/166.11 ! [V_y,V_x,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.11 => ( V_x != V_y % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__eq__1__iff,axiom, % 165.99/166.11 ! [V_f_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.11 <=> ? [B_x] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.11 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.11 & ! [B_xa] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 165.99/166.11 => ( B_x != B_xa % 165.99/166.11 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__nat__set__iff__bounded,axiom, % 165.99/166.11 ! [V_N_2] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 165.99/166.11 <=> ? [B_m] : % 165.99/166.11 ! [B_x] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 165.99/166.11 ! [V_N_2] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 165.99/166.11 <=> ? [B_m] : % 165.99/166.11 ! [B_x] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card_Oinsert,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Suc__diff__1,axiom, % 165.99/166.11 ! [V_n] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.11 => 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 ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Suc__pred_H,axiom, % 165.99/166.11 ! [V_n] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__monoid__big_Oinfinite,axiom, % 165.99/166.11 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 165.99/166.11 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 165.99/166.11 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card_Oinsert__remove,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card_Oremove,axiom, % 165.99/166.11 ! [V_x_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Diff__insert,axiom, % 165.99/166.11 ! [V_B_2,V_a_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_double__eq__0__iff,axiom, % 165.99/166.11 ! [V_a_2,T_b] : % 165.99/166.11 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.11 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card_Ounion__inter__neutral,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.11 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 165.99/166.11 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 165.99/166.11 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OatLeastLessThan__iff,axiom, % 165.99/166.11 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 165.99/166.11 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 165.99/166.11 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2))) % 165.99/166.11 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OatLeastAtMost__iff,axiom, % 165.99/166.11 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2))) % 165.99/166.11 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OgreaterThan__iff,axiom, % 165.99/166.11 ! [V_k_2,V_less_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OlessThan__iff,axiom, % 165.99/166.11 ! [V_k_2,V_less_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OatLeast__iff,axiom, % 165.99/166.11 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ord_OatMost__iff,axiom, % 165.99/166.11 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__odd__less__0,axiom, % 165.99/166.11 ! [V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I4_J,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__0__iff,axiom, % 165.99/166.11 ! [V_a_2,V_b_2,T_b] : % 165.99/166.11 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 165.99/166.11 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 165.99/166.11 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Plus__conv__if,axiom, % 165.99/166.11 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) % 165.99/166.11 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I6_J,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__PlusD_I2_J,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_c,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 165.99/166.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__PlusD_I1_J,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_c,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 165.99/166.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__Plus,axiom, % 165.99/166.11 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__Plus__iff,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_c,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 165.99/166.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__0,axiom, % 165.99/166.11 ! [T_b] : % 165.99/166.11 ( class_Rings_Oring__1(T_b) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__add,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Oring__1(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__diff,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Oring__1(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__1,axiom, % 165.99/166.11 ! [T_b] : % 165.99/166.11 ( class_Rings_Oring__1(T_b) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 165.99/166.11 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 165.99/166.11 ! [V_d,V_c,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 165.99/166.11 ! [V_d,V_c,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 165.99/166.11 ! [V_c,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I7_J,axiom, % 165.99/166.11 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I1_J,axiom, % 165.99/166.11 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__double__eq__0__iff,axiom, % 165.99/166.11 ! [V_a_2,T_b] : % 165.99/166.11 ( class_Int_Oring__char__0(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.11 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_card__Plus,axiom, % 165.99/166.11 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 165.99/166.11 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Ints__odd__nonzero,axiom, % 165.99/166.11 ! [V_a_2,T_b] : % 165.99/166.11 ( class_Int_Oring__char__0(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Plus__eq__empty__conv,axiom, % 165.99/166.11 ! [V_B_2,V_A_2,T_c,T_b] : % 165.99/166.11 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) % 165.99/166.11 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.11 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I12_J,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_com_Osize_I14_J,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ex__least__nat__less,axiom, % 165.99/166.11 ! [V_n_2,V_P_2] : % 165.99/166.11 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 165.99/166.11 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 165.99/166.11 => ? [B_k] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 165.99/166.11 & ! [B_i] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 165.99/166.11 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 165.99/166.11 & 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)))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_fold__Un__disjoint,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => ( 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)) % 165.99/166.11 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_inj__on__diff__nat,axiom, % 165.99/166.11 ! [V_k_2,V_N_2] : % 165.99/166.11 ( ! [B_x] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__natinterval__difff,axiom, % 165.99/166.11 ! [V_f_2,V_n_2,V_m_2,T_b] : % 165.99/166.11 ( class_Groups_Oab__group__add(T_b) % 165.99/166.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 165.99/166.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_fold__image__Un__Int,axiom, % 165.99/166.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_finite__atLeastAtMost,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 165.99/166.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 165.99/166.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 165.99/166.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 165.99/166.11 ! [V_rx,V_ly,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 165.99/166.11 ! [V_rx,V_ly,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 165.99/166.11 ! [V_ry,V_rx,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 165.99/166.11 ! [V_ry,V_rx,V_lx,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__left__idem,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__idem,axiom, % 165.99/166.11 ! [V_x,T_a] : % 165.99/166.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_times_Oidem,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Groups_Oab__semigroup__mult(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_divisors__zero,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ono__zero__divisors(T_a) % 165.99/166.11 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.11 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.11 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_no__zero__divisors,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ono__zero__divisors(T_a) % 165.99/166.11 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__eq__0__iff,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Oring__no__zero__divisors(T_b) % 165.99/166.11 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.11 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.11 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__zero__right,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Omult__zero(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__zero__left,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Omult__zero(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_image__Suc__atLeastAtMost,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_combine__common__factor,axiom, % 165.99/166.11 ! [V_c,V_b,V_e,V_a,T_a] : % 165.99/166.11 ( class_Rings_Osemiring(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__class_Odistrib,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 165.99/166.11 ! [V_z,V_y,V_x,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_crossproduct__noteq,axiom, % 165.99/166.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 165.99/166.11 => ( ( V_a_2 != V_b_2 % 165.99/166.11 & V_c_2 != V_d_2 ) % 165.99/166.11 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 165.99/166.11 ! [V_b,V_m,V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => 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) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_crossproduct__eq,axiom, % 165.99/166.11 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 165.99/166.11 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 165.99/166.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2)) % 165.99/166.11 <=> ( V_w_2 = V_x_2 % 165.99/166.11 | V_y_2 = V_z_2 ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult_Ocomm__neutral,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__1__right,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__1,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__1__left,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__cancel2,axiom, % 165.99/166.11 ! [V_n_2,V_k_2,V_m_2] : % 165.99/166.11 ( 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) % 165.99/166.11 <=> ( V_m_2 = V_n_2 % 165.99/166.11 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__cancel1,axiom, % 165.99/166.11 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.11 ( 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) % 165.99/166.11 <=> ( V_m_2 = V_n_2 % 165.99/166.11 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__is__0,axiom, % 165.99/166.11 ! [V_n_2,V_m_2] : % 165.99/166.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.11 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__0__right,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__0,axiom, % 165.99/166.11 ! [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) ). % 165.99/166.11 % 165.99/166.11 fof(fact_Suc__mult__cancel1,axiom, % 165.99/166.11 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.11 ( 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) % 165.99/166.11 <=> V_m_2 = V_n_2 ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__mult__distrib2,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_add__mult__distrib,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__le__mono,axiom, % 165.99/166.11 ! [V_l,V_k,V_j,V_i] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 165.99/166.11 => 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))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__le__mono2,axiom, % 165.99/166.11 ! [V_k,V_j,V_i] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__le__mono1,axiom, % 165.99/166.11 ! [V_k,V_j,V_i] : % 165.99/166.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_le__cube,axiom, % 165.99/166.11 ! [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)))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_le__square,axiom, % 165.99/166.11 ! [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))) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__mult__distrib,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_diff__mult__distrib2,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__mult__eq__1__iff,axiom, % 165.99/166.11 ! [V_n_2,V_m_2] : % 165.99/166.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.11 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.11 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__mult__1__right,axiom, % 165.99/166.11 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__1__eq__mult__iff,axiom, % 165.99/166.11 ! [V_n_2,V_m_2] : % 165.99/166.11 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 165.99/166.11 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.11 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_nat__mult__1,axiom, % 165.99/166.11 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 165.99/166.11 % 165.99/166.11 fof(fact_fun__left__comm__idem,axiom, % 165.99/166.11 ! [T_b] : % 165.99/166.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 165.99/166.11 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 165.99/166.11 ! [V_n_2,V_m_2,V_f_2,T_b] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_image__add__atLeastAtMost,axiom, % 165.99/166.11 ! [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)) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 165.99/166.11 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 165.99/166.11 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__product,axiom, % 165.99/166.11 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( class_Rings_Osemiring__0(T_b) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__left__distrib,axiom, % 165.99/166.11 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.11 ( class_Rings_Osemiring__0(T_b) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_setsum__right__distrib,axiom, % 165.99/166.11 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 165.99/166.11 ( class_Rings_Osemiring__0(T_b) % 165.99/166.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__le__square,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__ring(T_a) % 165.99/166.11 => 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__le__mult__iff,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2))) % 165.99/166.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__le__0__iff,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__nonneg__nonneg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__cancel__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__nonneg__nonpos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__cancel__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__nonneg__nonpos2,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__cancel__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__nonpos__nonneg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__cancel__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__nonpos__nonpos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__ring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__right__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__left__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__mult__left__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__comm__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__right__mono__neg,axiom, % 165.99/166.11 ! [V_c,V_a,V_b,T_a] : % 165.99/166.11 ( class_Rings_Oordered__ring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__left__mono__neg,axiom, % 165.99/166.11 ! [V_c,V_a,V_b,T_a] : % 165.99/166.11 ( class_Rings_Oordered__ring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__mono_H,axiom, % 165.99/166.11 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__mono,axiom, % 165.99/166.11 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__semiring(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_split__mult__pos__le,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__ring(T_a) % 165.99/166.11 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 165.99/166.11 => 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))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_split__mult__neg__le,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Oordered__cancel__semiring(T_a) % 165.99/166.11 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 165.99/166.11 => 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))) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_not__square__less__zero,axiom, % 165.99/166.11 ! [V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__ring(T_a) % 165.99/166.11 => ~ 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))) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__less__cancel__right__disj,axiom, % 165.99/166.11 ! [V_b_2,V_c_2,V_a_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 165.99/166.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__less__cancel__left__disj,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 165.99/166.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 165.99/166.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__less__cancel__left__pos,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__pos__pos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__pos__neg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__pos__neg2,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__less__mult__pos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( 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))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_zero__less__mult__pos2,axiom, % 165.99/166.11 ! [V_a,V_b,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( 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))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__less__cancel__left__neg,axiom, % 165.99/166.11 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 165.99/166.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__neg__pos,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__neg__neg,axiom, % 165.99/166.11 ! [V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__strict__right__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__strict__left__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_comm__mult__strict__left__mono,axiom, % 165.99/166.11 ! [V_c,V_b,V_a,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.11 => 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))) ) ) ) ). % 165.99/166.11 % 165.99/166.11 fof(fact_mult__strict__right__mono__neg,axiom, % 165.99/166.11 ! [V_c,V_a,V_b,T_a] : % 165.99/166.11 ( class_Rings_Olinordered__ring__strict(T_a) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.12 => 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))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__strict__left__mono__neg,axiom, % 165.99/166.12 ! [V_c,V_a,V_b,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.12 => 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))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_sum__squares__eq__zero__iff,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.12 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.12 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_add__scale__eq__noteq,axiom, % 165.99/166.12 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 165.99/166.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 165.99/166.12 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.12 => ( ( V_a = V_b % 165.99/166.12 & V_c != V_d ) % 165.99/166.12 => 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)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 165.99/166.12 ! [V_k_2,V_f_2] : % 165.99/166.12 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_less__1__mult,axiom, % 165.99/166.12 ! [V_n,V_m,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 165.99/166.12 => 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))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_eq__add__iff1,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oring(T_b) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 165.99/166.12 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_eq__add__iff2,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oring(T_b) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 165.99/166.12 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastAtMostSuc__conv,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 165.99/166.12 ! [V_m,V_a,T_a] : % 165.99/166.12 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 165.99/166.12 ! [V_a,V_m,T_a] : % 165.99/166.12 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 165.99/166.12 ! [V_m,T_a] : % 165.99/166.12 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_card__atLeastAtMost,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__eq__1__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( 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)) % 165.99/166.12 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.12 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__mono2,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__mono1,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__cancel2,axiom, % 165.99/166.12 ! [V_n_2,V_k_2,V_m_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__0__less__mult__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Suc__mult__less__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__Suc__right,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__Suc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Suc__mult__le__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__eq__self__implies__10,axiom, % 165.99/166.12 ! [V_n,V_m] : % 165.99/166.12 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 165.99/166.12 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.12 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Ints__mult,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oring__1(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastatMost__empty__iff,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastatMost__empty__iff2,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastatMost__empty,axiom, % 165.99/166.12 ! [V_a_2,V_b_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 165.99/166.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastatMost__subset__iff,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 165.99/166.12 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 165.99/166.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastAtMost__singleton,axiom, % 165.99/166.12 ! [V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastAtMost__singleton__iff,axiom, % 165.99/166.12 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.12 <=> ( V_a_2 = V_b_2 % 165.99/166.12 & V_b_2 = V_c_2 ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastAtMost__singleton_H,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( V_a_2 = V_b_2 % 165.99/166.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__le__cancel__left__pos,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__le__cancel__left__neg,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__strict__mono,axiom, % 165.99/166.12 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => 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))) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__strict__mono_H,axiom, % 165.99/166.12 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => 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))) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__le__imp__less,axiom, % 165.99/166.12 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => 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))) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__le__less__imp__less,axiom, % 165.99/166.12 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => 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))) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__right__less__imp__less,axiom, % 165.99/166.12 ! [V_b,V_c,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__imp__less__right,axiom, % 165.99/166.12 ! [V_b,V_c,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__left__less__imp__less,axiom, % 165.99/166.12 ! [V_b,V_a,V_c,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__less__imp__less__left,axiom, % 165.99/166.12 ! [V_b,V_a,V_c,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__right__le__imp__le,axiom, % 165.99/166.12 ! [V_b,V_c,V_a,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__left__le__imp__le,axiom, % 165.99/166.12 ! [V_b,V_a,V_c,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__strict(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_sum__squares__le__zero__iff,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.12 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.12 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_sum__squares__ge__zero,axiom, % 165.99/166.12 ! [V_y,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__ring(T_a) % 165.99/166.12 => 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)))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_sum__squares__gt__zero__iff,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__ring__strict(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)))) % 165.99/166.12 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.12 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_not__sum__squares__lt__zero,axiom, % 165.99/166.12 ! [V_y,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__ring(T_a) % 165.99/166.12 => ~ 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__right__le__one__le,axiom, % 165.99/166.12 ! [V_y,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.12 => 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)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__left__le__one__le,axiom, % 165.99/166.12 ! [V_y,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.12 => 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)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_le__add__iff2,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oordered__ring(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_le__add__iff1,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oordered__ring(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_less__add__iff2,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oordered__ring(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_less__add__iff1,axiom, % 165.99/166.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Oordered__ring(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__head__Suc,axiom, % 165.99/166.12 ! [V_f_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_n__less__m__mult__n,axiom, % 165.99/166.12 ! [V_m,V_n] : % 165.99/166.12 ( 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)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_n__less__n__mult__m,axiom, % 165.99/166.12 ! [V_m,V_n] : % 165.99/166.12 ( 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)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_one__less__mult,axiom, % 165.99/166.12 ! [V_m,V_n] : % 165.99/166.12 ( 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)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_one__le__mult__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( 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)) % 165.99/166.12 & 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__le__cancel2,axiom, % 165.99/166.12 ! [V_n_2,V_k_2,V_m_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__le__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_com_Osize_I15_J,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__image__distrib,axiom, % 165.99/166.12 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_com_Osize_I9_J,axiom, % 165.99/166.12 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastatMost__psubset__iff,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 165.99/166.12 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 165.99/166.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 165.99/166.12 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 165.99/166.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__cl__ivl__Suc,axiom, % 165.99/166.12 ! [V_f_2,V_m_2,V_n_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_convex__bound__le,axiom, % 165.99/166.12 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__1(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 165.99/166.12 => 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)) ) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__ub__add__nat,axiom, % 165.99/166.12 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( 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)))) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__image__insert,axiom, % 165.99/166.12 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 165.99/166.12 ( class_Groups_Oab__semigroup__mult(T_c) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_mult__eq__if,axiom, % 165.99/166.12 ! [V_n,V_m] : % 165.99/166.12 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.12 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.12 => 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_convex__bound__lt,axiom, % 165.99/166.12 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 165.99/166.12 => 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)) ) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__less__add__iff1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__less__add__iff2,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ex__nat__less,axiom, % 165.99/166.12 ! [V_P_2,V_n_2] : % 165.99/166.12 ( ? [B_m] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_m)) ) % 165.99/166.12 <=> ? [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_all__nat__less,axiom, % 165.99/166.12 ! [V_P_2,V_n_2] : % 165.99/166.12 ( ! [B_m] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 165.99/166.12 => hBOOL(hAPP(V_P_2,B_m)) ) % 165.99/166.12 <=> ! [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__eq__add__iff2,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 165.99/166.12 => ( 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) % 165.99/166.12 <=> 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) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__diff__add__eq2,axiom, % 165.99/166.12 ! [V_n,V_m,V_u,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__le__add__iff2,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__eq__add__iff1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 165.99/166.12 => ( 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) % 165.99/166.12 <=> 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 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__assoc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__commute,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__eq__cancel__disj,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( 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) % 165.99/166.12 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.12 | V_m_2 = V_n_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_left__add__mult__distrib,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__eq__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 => ( 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) % 165.99/166.12 <=> V_m_2 = V_n_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__less__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__mult__le__cancel1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_k_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__le__add__iff1,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 165.99/166.12 => ( 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))) % 165.99/166.12 <=> 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_nat__diff__add__eq1,axiom, % 165.99/166.12 ! [V_n,V_m,V_u,V_i,V_j] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_arith__series__nat,axiom, % 165.99/166.12 ! [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)))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__image__Un__one,axiom, % 165.99/166.12 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.12 => ( ! [B_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 165.99/166.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_gauss__sum,axiom, % 165.99/166.12 ! [V_n_2,T_b] : % 165.99/166.12 ( class_Rings_Ocomm__semiring__1(T_b) % 165.99/166.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I5_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__head,axiom, % 165.99/166.12 ! [V_P_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I6_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph__permute__diff,axiom, % 165.99/166.12 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 165.99/166.12 ( class_Groups_Oab__semigroup__mult(T_b) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__atLeastLessThan,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__lessThan,axiom, % 165.99/166.12 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__greaterThanAtMost,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeast0LessThan,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__eq__iff,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 165.99/166.12 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__eq__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Nat_Osemiring__char__0(T_b) % 165.99/166.12 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) % 165.99/166.12 <=> V_m_2 = V_n_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan0,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__le__0__conv,axiom, % 165.99/166.12 ! [V_n_2] : % 165.99/166.12 ( 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)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.12 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__0,axiom, % 165.99/166.12 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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__eq__0__conv,axiom, % 165.99/166.12 ! [V_n_2] : % 165.99/166.12 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.12 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__Suc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__iff__Suc__zadd,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 165.99/166.12 <=> ? [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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__int,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__int__left,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__int,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__int,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__mult,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__int,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__1,axiom, % 165.99/166.12 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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I8_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I2_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__eq__iff,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 165.99/166.12 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 165.99/166.12 <=> ( V_a_2 = V_c_2 % 165.99/166.12 & V_b_2 = V_d_2 ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 165.99/166.12 => V_a_2 = V_c_2 ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 165.99/166.12 => V_b_2 = V_d_2 ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__0,axiom, % 165.99/166.12 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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph_Oequations_I1_J,axiom, % 165.99/166.12 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph_OemptyI,axiom, % 165.99/166.12 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_empty__fold__graphE,axiom, % 165.99/166.12 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) % 165.99/166.12 => V_x_2 = V_z_2 ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph__imp__finite,axiom, % 165.99/166.12 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__setsum,axiom, % 165.99/166.12 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 165.99/166.12 % 165.99/166.12 fof(fact_card__lessThan,axiom, % 165.99/166.12 ! [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 ). % 165.99/166.12 % 165.99/166.12 fof(fact_all__nat__less__eq,axiom, % 165.99/166.12 ! [V_P_2,V_n_2] : % 165.99/166.12 ( ! [B_m] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 165.99/166.12 => hBOOL(hAPP(V_P_2,B_m)) ) % 165.99/166.12 <=> ! [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ex__nat__less__eq,axiom, % 165.99/166.12 ! [V_P_2,V_n_2] : % 165.99/166.12 ( ? [B_m] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_m)) ) % 165.99/166.12 <=> ? [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__add__Un,axiom, % 165.99/166.12 ! [V_k_2,V_j_2,V_i_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__Suc0__eq__1,axiom, % 165.99/166.12 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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__zless__mono2__lemma,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zero__less__int__conv,axiom, % 165.99/166.12 ! [V_n_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zero__le__imp__of__nat,axiom, % 165.99/166.12 ! [V_m,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__0__le__iff,axiom, % 165.99/166.12 ! [V_n,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiff__int,axiom, % 165.99/166.12 ! [V_m,V_n] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__less__0__iff,axiom, % 165.99/166.12 ! [V_m,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => ~ 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__0,axiom, % 165.99/166.12 ! [T_a] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_a) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__less__imp__less,axiom, % 165.99/166.12 ! [V_n,V_m,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => ( 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))) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_less__imp__of__nat__less,axiom, % 165.99/166.12 ! [V_n,V_m,T_a] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__less__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__le__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__add,axiom, % 165.99/166.12 ! [V_n,V_m,T_a] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_a) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__mult,axiom, % 165.99/166.12 ! [V_n,V_m,T_a] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_a) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_subset__card__intvl__is__intvl,axiom, % 165.99/166.12 ! [V_k_2,V_A_2] : % 165.99/166.12 ( 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))))) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__1,axiom, % 165.99/166.12 ! [T_a] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_a) % 165.99/166.12 => 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__singleton,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_card__atLeastLessThan,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Ints__of__nat,axiom, % 165.99/166.12 ! [V_n_2,T_b] : % 165.99/166.12 ( class_Rings_Oring__1(T_b) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_image__Suc__atLeastLessThan,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__empty,axiom, % 165.99/166.12 ! [V_a_2,V_b_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 165.99/166.12 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__empty__iff,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__empty__iff2,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThan__subset__iff,axiom, % 165.99/166.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 165.99/166.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 165.99/166.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,V_f_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I17_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph_OinsertI,axiom, % 165.99/166.12 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 165.99/166.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 165.99/166.12 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__diff,axiom, % 165.99/166.12 ! [V_m_2,V_n_2,V_i_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 165.99/166.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I11_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_greaterThanAtMost__empty,axiom, % 165.99/166.12 ! [V_k_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 165.99/166.12 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__setsum,axiom, % 165.99/166.12 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_b) % 165.99/166.12 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_greaterThanAtMost__empty__iff,axiom, % 165.99/166.12 ! [V_l_2,V_k_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 165.99/166.12 ! [V_l_2,V_k_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) % 165.99/166.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_image__add__atLeastLessThan,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__Suc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I20_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I14_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__iff,axiom, % 165.99/166.12 ! [V_k_2,V_i_2,T_b] : % 165.99/166.12 ( class_Orderings_Oord(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__subset__iff,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__add__nat__ivl,axiom, % 165.99/166.12 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 165.99/166.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__diff__nat__ivl,axiom, % 165.99/166.12 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Oab__group__add(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 165.99/166.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_card__greaterThanAtMost,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__Suc,axiom, % 165.99/166.12 ! [V_m,T_a] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_a) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThanSuc,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => 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)) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__diff,axiom, % 165.99/166.12 ! [V_m,V_n,T_a] : % 165.99/166.12 ( class_Rings_Oring__1(T_a) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.12 => 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__strict__subset__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_arith__series__general,axiom, % 165.99/166.12 ! [V_n_2,V_d_2,V_a_2,T_b] : % 165.99/166.12 ( class_Rings_Ocomm__semiring__1(T_b) % 165.99/166.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold__graph__insert__swap,axiom, % 165.99/166.12 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 165.99/166.12 ( class_Groups_Oab__semigroup__mult(T_b) % 165.99/166.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2)) % 165.99/166.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__constant,axiom, % 165.99/166.12 ! [V_A_2,V_y_2,T_c,T_b] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_b) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I21_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I15_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 165.99/166.12 ! [V_k_2,V_f_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__head__upt__Suc,axiom, % 165.99/166.12 ! [V_f_2,V_n_2,V_m_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__0__less__iff,axiom, % 165.99/166.12 ! [V_n_2,T_b] : % 165.99/166.12 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__lessThan__Suc,axiom, % 165.99/166.12 ! [V_n_2,V_f_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I22_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I16_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_single__Diff__lessThan,axiom, % 165.99/166.12 ! [V_k_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I4_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Diff1__fold__graph,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__op__ivl__Suc,axiom, % 165.99/166.12 ! [V_f_2,V_m_2,V_n_2,T_b] : % 165.99/166.12 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 165.99/166.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 165.99/166.12 ! [V_x_2,V_y_2,V_c_2] : % 165.99/166.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 165.99/166.12 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 165.99/166.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 165.99/166.12 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 165.99/166.12 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 165.99/166.12 ! [V_n_2,T_b] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_b) % 165.99/166.12 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiff__int__split,axiom, % 165.99/166.12 ! [V_y_2,V_x_2,V_P_2] : % 165.99/166.12 ( 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)))) % 165.99/166.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 165.99/166.12 => 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)))) ) % 165.99/166.12 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 165.99/166.12 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold1Set_Ointros,axiom, % 165.99/166.12 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 165.99/166.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.12 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_setsum__bounded,axiom, % 165.99/166.12 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.12 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 165.99/166.12 & class_Rings_Osemiring__1(T_c) ) % 165.99/166.12 => ( ! [B_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I19_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I4_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I18_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__greaterThanLessThan,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_image__add__int__atLeastLessThan,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__iff__zadd,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 165.99/166.12 <=> ? [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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zero__zle__int,axiom, % 165.99/166.12 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__int__eq,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( 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) % 165.99/166.12 <=> V_m_2 = V_n_2 ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__less__0__conv,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_odd__less__0,axiom, % 165.99/166.12 ! [V_z_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_le__imp__0__less,axiom, % 165.99/166.12 ! [V_z] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__add1__eq,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( 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)))) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 165.99/166.12 | V_w_2 = V_z_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__add1__eq__le,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( 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)))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_add1__zle__eq,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( 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)) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__imp__add1__zle,axiom, % 165.99/166.12 ! [V_z,V_w] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 165.99/166.12 => 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)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_odd__nonzero,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__0__neq__1,axiom, % 165.99/166.12 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__one__le__iff__zero__less,axiom, % 165.99/166.12 ! [V_z_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__diff1__eq,axiom, % 165.99/166.12 ! [V_z_2,V_w_2] : % 165.99/166.12 ( 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)))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_int__0__less__1,axiom, % 165.99/166.12 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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_less__bin__lemma,axiom, % 165.99/166.12 ! [V_l_2,V_k_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 165.99/166.12 <=> 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__linear,axiom, % 165.99/166.12 ! [V_y,V_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 165.99/166.12 | V_x = V_y % 165.99/166.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zless__le,axiom, % 165.99/166.12 ! [V_w_2,V_z_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 165.99/166.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 165.99/166.12 & V_z_2 != V_w_2 ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__antisym,axiom, % 165.99/166.12 ! [V_w,V_z] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 165.99/166.12 => V_z = V_w ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__trans,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__linear,axiom, % 165.99/166.12 ! [V_w,V_z] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 165.99/166.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zle__refl,axiom, % 165.99/166.12 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__0__right,axiom, % 165.99/166.12 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__0,axiom, % 165.99/166.12 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__assoc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__left__commute,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__commute,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__left__mono,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__zless__mono,axiom, % 165.99/166.12 ! [V_z,V_z_H,V_w,V_w_H] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__strict__right__mono,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 165.99/166.12 => 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_simp__from__to,axiom, % 165.99/166.12 ! [V_i_2,V_j_2] : % 165.99/166.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 165.99/166.12 => 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)) ) % 165.99/166.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 165.99/166.12 => 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)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__1__right,axiom, % 165.99/166.12 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__1,axiom, % 165.99/166.12 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 165.99/166.12 % 165.99/166.12 fof(fact_pos__zmult__eq__1__iff,axiom, % 165.99/166.12 ! [V_n_2,V_m_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 165.99/166.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 165.99/166.12 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 165.99/166.12 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__zless__mono2,axiom, % 165.99/166.12 ! [V_k,V_j,V_i] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiff__zmult__distrib,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiff__zmult__distrib2,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__commute,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zmult__assoc,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__zmult__distrib,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zadd__zmult__distrib2,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 165.99/166.12 ! [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) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold1Set__nonempty,axiom, % 165.99/166.12 ! [V_x_2,V_A_2,V_f_2,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 165.99/166.12 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_empty__fold1SetE,axiom, % 165.99/166.12 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_greaterThanLessThan__empty,axiom, % 165.99/166.12 ! [V_k_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 165.99/166.12 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 165.99/166.12 ! [V_i_2,V_inc_2,T_b] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_b) % 165.99/166.12 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 165.99/166.12 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 165.99/166.12 ( class_Rings_Osemiring__1(T_b) % 165.99/166.12 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_fold1Set__sing,axiom, % 165.99/166.12 ! [V_b_2,V_a_2,V_f_2,T_b] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2)) % 165.99/166.12 <=> V_a_2 = V_b_2 ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I12_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I13_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I9_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_card__greaterThanLessThan,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__int_I10_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Oorder(T_b) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I15_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I16_J,axiom, % 165.99/166.12 ! [V_u_2,V_m_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_ivl__disj__un_I3_J,axiom, % 165.99/166.12 ! [V_u_2,V_l_2,T_b] : % 165.99/166.12 ( class_Orderings_Olinorder(T_b) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 165.99/166.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_self__quotient__aux1,axiom, % 165.99/166.12 ! [V_q,V_r,V_a] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_self__quotient__aux2,axiom, % 165.99/166.12 ! [V_q,V_r,V_a] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_q__pos__lemma,axiom, % 165.99/166.12 ! [V_r_H,V_q_H,V_b_H] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_q__neg__lemma,axiom, % 165.99/166.12 ! [V_r_H,V_q_H,V_b_H] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_unique__quotient__lemma,axiom, % 165.99/166.12 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiv__mono2__lemma,axiom, % 165.99/166.12 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 165.99/166.12 ( 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) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_unique__quotient__lemma__neg,axiom, % 165.99/166.12 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__atLeastAtMost__int,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__atLeastLessThan__int,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__greaterThanLessThan__int,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_finite__greaterThanAtMost__int,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_zdiv__mono2__neg__lemma,axiom, % 165.99/166.12 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 165.99/166.12 ( 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) % 165.99/166.12 => ( 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))) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 165.99/166.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 165.99/166.12 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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 165.99/166.12 ! [V_A_2] : % 165.99/166.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 165.99/166.12 <=> 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 165.99/166.12 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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 165.99/166.12 ! [V_y_2,V_x_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 165.99/166.12 ! [V_y_2,V_x_2] : % 165.99/166.12 ( 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))) % 165.99/166.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 165.99/166.12 ! [V_A_2,V_x_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 165.99/166.12 <=> 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 165.99/166.12 ! [V_B_2,V_A_2] : % 165.99/166.12 ( V_A_2 = V_B_2 % 165.99/166.12 <=> 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) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 165.99/166.12 ! [V_B_2,V_A_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.12 <=> 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 165.99/166.12 ! [V_y_2,V_x_2] : % 165.99/166.12 ( 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) % 165.99/166.12 <=> V_x_2 = V_y_2 ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 165.99/166.12 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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 165.99/166.12 ! [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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 165.99/166.12 ! [V_B_2,V_A_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.12 <=> 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))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 165.99/166.12 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)) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 165.99/166.12 ! [V_y,V_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 165.99/166.12 ! [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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 165.99/166.12 ! [V_P_2] : % 165.99/166.12 ( ? [B_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_x)) ) % 165.99/166.12 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 165.99/166.12 ! [V_P_2] : % 165.99/166.12 ( ! [B_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.12 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.99/166.12 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 165.99/166.12 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))) ). % 165.99/166.12 % 165.99/166.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 165.99/166.12 ! [V_y,V_x] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.12 => 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))) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_bset_I8_J,axiom, % 165.99/166.12 ! [V_B_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 165.99/166.12 => 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))) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_aset_I6_J,axiom, % 165.99/166.12 ! [V_A_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 165.99/166.12 => 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)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_bset_I6_J,axiom, % 165.99/166.12 ! [V_t_2,V_B_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 165.99/166.12 => 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)) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_aset_I8_J,axiom, % 165.99/166.12 ! [V_t_2,V_A_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 165.99/166.12 => 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))) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_periodic__finite__ex,axiom, % 165.99/166.12 ! [V_P_2,V_d_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 165.99/166.12 => ( ! [B_x,B_k] : % 165.99/166.12 ( hBOOL(hAPP(V_P_2,B_x)) % 165.99/166.12 <=> 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)))) ) % 165.99/166.12 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.12 <=> ? [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_bset_I3_J,axiom, % 165.99/166.12 ! [V_B_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( 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)) % 165.99/166.12 => ( ! [B_x] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xa] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 165.99/166.12 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 165.99/166.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_aset_I4_J,axiom, % 165.99/166.12 ! [V_A_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( B_x != V_t_2 % 165.99/166.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_bset_I4_J,axiom, % 165.99/166.12 ! [V_B_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( B_x != V_t_2 % 165.99/166.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_bset_I7_J,axiom, % 165.99/166.12 ! [V_B_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 165.99/166.12 => 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))) ) ) ) ) ). % 165.99/166.12 % 165.99/166.12 fof(fact_aset_I5_J,axiom, % 165.99/166.12 ! [V_A_2,V_t_2,V_D_2] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 165.99/166.12 => ! [B_x] : % 165.99/166.12 ( ! [B_xa] : % 165.99/166.12 ( 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))) % 165.99/166.12 => ! [B_xb] : % 165.99/166.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 165.99/166.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 165.99/166.12 => 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)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_aset_I3_J,axiom, % 165.99/166.13 ! [V_A_2,V_t_2,V_D_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.13 => ( 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)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( 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))) % 165.99/166.13 => ! [B_xa] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 165.99/166.13 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 165.99/166.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_aset_I7_J,axiom, % 165.99/166.13 ! [V_t_2,V_A_2,V_D_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.13 => ! [B_x] : % 165.99/166.13 ( ! [B_xa] : % 165.99/166.13 ( 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))) % 165.99/166.13 => ! [B_xb] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 165.99/166.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 165.99/166.13 => 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_bset_I5_J,axiom, % 165.99/166.13 ! [V_t_2,V_B_2,V_D_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 165.99/166.13 => ! [B_x] : % 165.99/166.13 ( ! [B_xa] : % 165.99/166.13 ( 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))) % 165.99/166.13 => ! [B_xb] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 165.99/166.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 165.99/166.13 => 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)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_tsub__def,axiom, % 165.99/166.13 ! [V_x,V_y] : % 165.99/166.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 165.99/166.13 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 165.99/166.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 165.99/166.13 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__atLeastZeroLessThan__int,axiom, % 165.99/166.13 ! [V_u_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 165.99/166.13 => 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))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_sum__diff__distrib,axiom, % 165.99/166.13 ! [V_n_2,V_P_2,V_Q_2] : % 165.99/166.13 ( ! [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))) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_decr__mult__lemma,axiom, % 165.99/166.13 ! [V_k_2,V_P_2,V_d_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,B_x)) % 165.99/166.13 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.13 => ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,B_x)) % 165.99/166.13 => 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)))) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_incr__mult__lemma,axiom, % 165.99/166.13 ! [V_k_2,V_P_2,V_d_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,B_x)) % 165.99/166.13 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.13 => ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,B_x)) % 165.99/166.13 => 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)))) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__int,axiom, % 165.99/166.13 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__0,axiom, % 165.99/166.13 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 165.99/166.13 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_eq__nat__nat__iff,axiom, % 165.99/166.13 ! [V_z_H_2,V_z_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 165.99/166.13 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 165.99/166.13 <=> V_z_2 = V_z_H_2 ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ex__nat,axiom, % 165.99/166.13 ! [V_P_2] : % 165.99/166.13 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.13 <=> ? [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.13 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_all__nat,axiom, % 165.99/166.13 ! [V_P_2] : % 165.99/166.13 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.13 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 165.99/166.13 ! [V_y_2,V_x_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 165.99/166.13 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 165.99/166.13 <=> V_x_2 = V_y_2 ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 165.99/166.13 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__return__embed,axiom, % 165.99/166.13 ! [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 ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 165.99/166.13 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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__0__iff,axiom, % 165.99/166.13 ! [V_i_2] : % 165.99/166.13 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__le__0,axiom, % 165.99/166.13 ! [V_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.13 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__mono__iff,axiom, % 165.99/166.13 ! [V_w_2,V_z_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 165.99/166.13 => ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zless__nat__conj,axiom, % 165.99/166.13 ! [V_z_2,V_w_2] : % 165.99/166.13 ( 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))) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 165.99/166.13 ! [V_y_2,V_x_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 165.99/166.13 => ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__1,axiom, % 165.99/166.13 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_int__nat__eq,axiom, % 165.99/166.13 ! [V_z] : % 165.99/166.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 165.99/166.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => 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) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_int__eq__iff,axiom, % 165.99/166.13 ! [V_z_2,V_m_2] : % 165.99/166.13 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 165.99/166.13 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__0__le,axiom, % 165.99/166.13 ! [V_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zless__nat__eq__int__zless,axiom, % 165.99/166.13 ! [V_z_2,V_m_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 165.99/166.13 <=> 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_b] : % 165.99/166.13 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.13 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__atLeastZeroLessThan__int,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__atLeastLessThan__int,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zero__less__nat__eq,axiom, % 165.99/166.13 ! [V_z_2] : % 165.99/166.13 ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__less__eq__zless,axiom, % 165.99/166.13 ! [V_z_2,V_w_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 165.99/166.13 ! [V_y_2,V_x_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 165.99/166.13 => ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__eq__iff,axiom, % 165.99/166.13 ! [V_m_2,V_w_2] : % 165.99/166.13 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 165.99/166.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 165.99/166.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__eq__iff2,axiom, % 165.99/166.13 ! [V_w_2,V_m_2] : % 165.99/166.13 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 165.99/166.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 165.99/166.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__le__eq__zle,axiom, % 165.99/166.13 ! [V_z_2,V_w_2] : % 165.99/166.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 165.99/166.13 => ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_split__nat,axiom, % 165.99/166.13 ! [V_i_2,V_P_2] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 165.99/166.13 <=> ( ! [B_n] : % 165.99/166.13 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 165.99/166.13 => hBOOL(hAPP(V_P_2,B_n)) ) % 165.99/166.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__add__distrib,axiom, % 165.99/166.13 ! [V_z_H,V_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__mult__distrib,axiom, % 165.99/166.13 ! [V_z_H,V_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__diff__distrib,axiom, % 165.99/166.13 ! [V_z,V_z_H] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__greaterThanAtMost__int,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_one__less__nat__eq,axiom, % 165.99/166.13 ! [V_z_2] : % 165.99/166.13 ( 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))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__less__iff,axiom, % 165.99/166.13 ! [V_m_2,V_w_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 165.99/166.13 <=> 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 165.99/166.13 ! [V_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.13 => 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_tsub__eq,axiom, % 165.99/166.13 ! [V_x,V_y] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 165.99/166.13 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__atLeastAtMost__int,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__greaterThanLessThan__int,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__aux__def,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__morphism__nat__int,axiom, % 165.99/166.13 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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 165.99/166.13 ! [V_n_2,V_m_2] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_m_2) % 165.99/166.13 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 165.99/166.13 => 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.13 <=> 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zero__less__imp__eq__int,axiom, % 165.99/166.13 ! [V_k] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 165.99/166.13 => ? [B_n] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 165.99/166.13 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 165.99/166.13 ! [V_x_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 165.99/166.13 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 165.99/166.13 ! [V_y_2,V_x_2] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x_2) % 165.99/166.13 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => ( V_A_2 = V_B_2 % 165.99/166.13 <=> 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) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 165.99/166.13 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.13 => ( c_Nat__Transfer_Ois__nat(V_y) % 165.99/166.13 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 165.99/166.13 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 165.99/166.13 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.13 => ( c_Nat__Transfer_Ois__nat(V_y) % 165.99/166.13 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 165.99/166.13 ! [V_y,V_x] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.13 => ( c_Nat__Transfer_Ois__nat(V_y) % 165.99/166.13 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 165.99/166.13 ! [V_A_2,V_x_2] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 165.99/166.13 <=> 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 165.99/166.13 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__set__def,axiom, % 165.99/166.13 ! [V_S_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_S_2) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_is__nat__def,axiom, % 165.99/166.13 ! [V_x_2] : % 165.99/166.13 ( c_Nat__Transfer_Ois__nat(V_x_2) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 165.99/166.13 ! [V_y_2,V_x_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 165.99/166.13 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__set__return__embed,axiom, % 165.99/166.13 ! [V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => 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 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 165.99/166.13 ! [V_x_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 165.99/166.13 ! [V_f_2,V_A_2,T_b] : % 165.99/166.13 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.13 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 165.99/166.13 ! [V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 165.99/166.13 <=> 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))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 165.99/166.13 ! [V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2] : % 165.99/166.13 ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.13 <=> 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 165.99/166.13 ! [V_f_2,V_A_2,T_b] : % 165.99/166.13 ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.13 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I7_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I10_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I2_J,axiom, % 165.99/166.13 ! [V_u_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_decr__lemma,axiom, % 165.99/166.13 ! [V_z,V_x,V_d] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__atMost,axiom, % 165.99/166.13 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__abs,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__abs__ge__zero,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__eq__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 165.99/166.13 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__idempotent,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__le__D1,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__ge__self,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__zero,axiom, % 165.99/166.13 ! [T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__eq__0,axiom, % 165.99/166.13 ! [V_a_2,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__add__abs,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__mult__self,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__mult,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__minus__commute,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__one,axiom, % 165.99/166.13 ! [T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__of__nat,axiom, % 165.99/166.13 ! [V_n,T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__int__eq,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__setsum__abs,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__ge__zero,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__le__zero__iff,axiom, % 165.99/166.13 ! [V_a_2,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__of__nonneg,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__not__less__zero,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => ~ 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))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zero__less__abs__iff,axiom, % 165.99/166.13 ! [V_a_2,T_b] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2))) % 165.99/166.13 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__of__pos,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__triangle__ineq,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__mult__less,axiom, % 165.99/166.13 ! [V_d,V_b,V_c,V_a,T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 165.99/166.13 => 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__triangle__ineq3,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__triangle__ineq2,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__triangle__ineq2__sym,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__zmult__eq__1,axiom, % 165.99/166.13 ! [V_n,V_m] : % 165.99/166.13 ( 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) % 165.99/166.13 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__eq__mult,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Rings_Oordered__ring__abs(T_a) % 165.99/166.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 165.99/166.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__mult__pos,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__triangle__ineq4,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_abs__diff__triangle__ineq,axiom, % 165.99/166.13 ! [V_d,V_c,V_b,V_a,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.13 => 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))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast0AtMost,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_lessThan__Suc__atMost,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__atMost,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__Suc,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__iff,axiom, % 165.99/166.13 ! [V_k_2,V_i_2,T_b] : % 165.99/166.13 ( class_Orderings_Oord(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_zabs__less__one__iff,axiom, % 165.99/166.13 ! [V_z_2] : % 165.99/166.13 ( 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))) % 165.99/166.13 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__abs__mult__distrib,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__subset__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__atMost__Suc,axiom, % 165.99/166.13 ! [V_n_2,V_f_2,T_b] : % 165.99/166.13 ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__0,axiom, % 165.99/166.13 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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I9_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I3_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I1_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_incr__lemma,axiom, % 165.99/166.13 ! [V_x,V_z,V_d] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 165.99/166.13 => 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)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nitpick_Oint__lcm__def,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atMost__Int__atLeast,axiom, % 165.99/166.13 ! [V_n_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 165.99/166.13 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 165.99/166.13 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.13 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.13 => ( V_A_2 = V_B_2 % 165.99/166.13 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.13 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1Set_Oequations,axiom, % 165.99/166.13 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2)) % 165.99/166.13 <=> ? [B_a,B_A] : % 165.99/166.13 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 165.99/166.13 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 165.99/166.13 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_insert__fold1SetE,axiom, % 165.99/166.13 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2)) % 165.99/166.13 => ~ ! [B_a,B_A] : % 165.99/166.13 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_int__val__lemma,axiom, % 165.99/166.13 ! [V_k_2,V_f_2,V_n_2] : % 165.99/166.13 ( ! [B_i] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 165.99/166.13 => 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))) ) % 165.99/166.13 => ( 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)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 165.99/166.13 => ? [B_i] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 165.99/166.13 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__eq__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 165.99/166.13 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__iff,axiom, % 165.99/166.13 ! [V_k_2,V_i_2,T_b] : % 165.99/166.13 ( class_Orderings_Oord(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__subset__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I14_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I8_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I6_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__Suc,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I12_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I13_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I1_J,axiom, % 165.99/166.13 ! [V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat0__intermed__int__val,axiom, % 165.99/166.13 ! [V_k_2,V_f_2,V_n_2] : % 165.99/166.13 ( ! [B_i] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 165.99/166.13 => 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))) ) % 165.99/166.13 => ( 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)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 165.99/166.13 => ? [B_i] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 165.99/166.13 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__Un,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : % 165.99/166.13 ( class_Groups_Oab__semigroup__mult(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( 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)) % 165.99/166.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__insert,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Groups_Oab__semigroup__mult(T_b) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_greaterThan__eq__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 165.99/166.13 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__Suc__greaterThan,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__singleton,axiom, % 165.99/166.13 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__singleton__def,axiom, % 165.99/166.13 ! [V_a_2,V_f_2,T_b,V_g_2] : % 165.99/166.13 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 165.99/166.13 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_folding__one_Oeq__fold,axiom, % 165.99/166.13 ! [V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.13 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_greaterThan__iff,axiom, % 165.99/166.13 ! [V_k_2,V_i_2,T_b] : % 165.99/166.13 ( class_Orderings_Oord(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_greaterThan__subset__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__def,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Sup__fin_OF__eq,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Olattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Inf__fin_OF__eq,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Olattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__belowI,axiom, % 165.99/166.13 ! [V_a_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_below__fold1__iff,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2))) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__insert__idem,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__Un2,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I7_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__un_I11_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ivl__disj__int_I5_J,axiom, % 165.99/166.13 ! [V_u_2,V_l_2,T_b] : % 165.99/166.13 ( class_Orderings_Oorder(T_b) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_greaterThan__Suc,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_semilattice__big_OF__eq,axiom, % 165.99/166.13 ! [V_A_2,V_F_2,V_f_2,T_b] : % 165.99/166.13 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_fold1__in,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( class_Groups_Oab__semigroup__mult(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_hom__fold1__commute,axiom, % 165.99/166.13 ! [V_N_2,V_h_2,T_b] : % 165.99/166.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 165.99/166.13 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__less__Suc2,axiom, % 165.99/166.13 ! [V_i_2,V_M_2] : % 165.99/166.13 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 165.99/166.13 => 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))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__less,axiom, % 165.99/166.13 ! [V_i_2,V_M_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__less__Suc,axiom, % 165.99/166.13 ! [V_i_2,V_M_2] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 165.99/166.13 => 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))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_CollectI,axiom, % 165.99/166.13 ! [T_b,V_a_2,V_P_2] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,V_a_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__conjI,axiom, % 165.99/166.13 ! [V_Q_2,V_P_2,T_b] : % 165.99/166.13 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__less__nat,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__le__nat,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__def,axiom, % 165.99/166.13 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_empty__Collect__eq,axiom, % 165.99/166.13 ! [V_P_2,T_b] : % 165.99/166.13 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2) % 165.99/166.13 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__empty__eq,axiom, % 165.99/166.13 ! [V_P_2,T_b] : % 165.99/166.13 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__mem__eq,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_mem__Collect__eq,axiom, % 165.99/166.13 ! [V_P_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_CollectD,axiom, % 165.99/166.13 ! [V_P_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_CollectE,axiom, % 165.99/166.13 ! [V_P_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_empty__def,axiom, % 165.99/166.13 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__disjI,axiom, % 165.99/166.13 ! [V_Q_2,V_P_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)))) % 165.99/166.13 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_insert__Collect,axiom, % 165.99/166.13 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__disj__eq,axiom, % 165.99/166.13 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__conj__eq,axiom, % 165.99/166.13 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_insert__compr,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_insert__compr__raw,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Un__def,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__def,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__Collect,axiom, % 165.99/166.13 ! [V_P_2,V_A_2,V_x_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_singleton__conv2,axiom, % 165.99/166.13 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_singleton__conv,axiom, % 165.99/166.13 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__conv__if2,axiom, % 165.99/166.13 ! [T_b,V_a_2,V_P_2] : % 165.99/166.13 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 165.99/166.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 165.99/166.13 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 165.99/166.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Collect__conv__if,axiom, % 165.99/166.13 ! [T_b,V_a_2,V_P_2] : % 165.99/166.13 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 165.99/166.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 165.99/166.13 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 165.99/166.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_set__diff__eq,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_insert__def,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__M__bounded__by__nat,axiom, % 165.99/166.13 ! [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))))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__setsum__restrict,axiom, % 165.99/166.13 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 165.99/166.13 ( class_Groups_Ocomm__monoid__add(T_d) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_if__image__distrib,axiom, % 165.99/166.13 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_nat__seg__image__imp__finite,axiom, % 165.99/166.13 ! [V_n_2,V_f_2,T_b,V_A_2] : % 165.99/166.13 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__restrict__set_H,axiom, % 165.99/166.13 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.13 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__image__gen,axiom, % 165.99/166.13 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 165.99/166.13 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__multicount,axiom, % 165.99/166.13 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 165.99/166.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_lfp__induct__set,axiom, % 165.99/166.13 ! [V_P_2,V_f_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 165.99/166.13 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.99/166.13 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_def__lfp__induct__set,axiom, % 165.99/166.13 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] : % 165.99/166.13 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.13 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.99/166.13 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_def__Collect__coinduct,axiom, % 165.99/166.13 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] : % 165.99/166.13 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 165.99/166.13 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 165.99/166.13 => ( ! [B_z] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) ) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_setsum__multicount__gen,axiom, % 165.99/166.13 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 165.99/166.13 => ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 165.99/166.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 165.99/166.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__Sup1__distrib,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Odistrib__lattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__subsets,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Pow__def,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__bounded__ex,axiom, % 165.99/166.13 ! [V_Q_2,T_c,V_P_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))))) % 165.99/166.13 <=> ! [B_y] : % 165.99/166.13 ( hBOOL(hAPP(V_P_2,B_y)) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__image__set,axiom, % 165.99/166.13 ! [V_f_2,T_c,V_P_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 165.99/166.13 ! [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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 165.99/166.13 ! [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)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_sup__Inf2__distrib,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Odistrib__lattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_sup__Inf1__distrib,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Odistrib__lattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__Sup2__distrib,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b] : % 165.99/166.13 ( class_Lattices_Odistrib__lattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_add__Min__commute,axiom, % 165.99/166.13 ! [V_k_2,V_N_2,T_b] : % 165.99/166.13 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_add__Max__commute,axiom, % 165.99/166.13 ! [V_k_2,V_N_2,T_b] : % 165.99/166.13 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__conv__nat__seg__image,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_pigeonhole__infinite,axiom, % 165.99/166.13 ! [V_f_2,T_c,V_A_2,T_b] : % 165.99/166.13 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.13 => ? [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.13 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__le__eq__Un0,axiom, % 165.99/166.13 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_greaterThan__0,axiom, % 165.99/166.13 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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_top1I,axiom, % 165.99/166.13 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNIV__I,axiom, % 165.99/166.13 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP1__I,axiom, % 165.99/166.13 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__atLeast__UNIV,axiom, % 165.99/166.13 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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__atMost__UNIV,axiom, % 165.99/166.13 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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP__UN__eq,axiom, % 165.99/166.13 ! [V_x_2,V_r_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Prod__UNIV,axiom, % 165.99/166.13 ! [T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__option__UNIV,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)))) % 165.99/166.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNIV__Plus__UNIV,axiom, % 165.99/166.13 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Pow__UNIV,axiom, % 165.99/166.13 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP1__iff,axiom, % 165.99/166.13 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 165.99/166.13 <=> ? [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_top__apply,axiom, % 165.99/166.13 ! [V_x_2,T_c,T_b] : % 165.99/166.13 ( class_Orderings_Otop(T_b) % 165.99/166.13 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__lessThan__UNIV,axiom, % 165.99/166.13 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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__UN,axiom, % 165.99/166.13 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__fun__UNIVD2,axiom, % 165.99/166.13 ! [T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__UN__finite__eq,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNIV__not__empty,axiom, % 165.99/166.13 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__UNIV,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( class_Finite__Set_Ofinite(T_b) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_subset__UNIV,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Un__UNIV__left,axiom, % 165.99/166.13 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Un__UNIV__right,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__UNIV__left,axiom, % 165.99/166.13 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__UNIV__right,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__eq,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 165.99/166.13 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_injD,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 165.99/166.13 => V_x_2 = V_y_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__int,axiom, % 165.99/166.13 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))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Plus__UNIV__iff,axiom, % 165.99/166.13 ! [T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)))) % 165.99/166.13 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_infinite__UNIV__nat,axiom, % 165.99/166.13 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNIV__def,axiom, % 165.99/166.13 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_range__composition,axiom, % 165.99/166.13 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__fun,axiom, % 165.99/166.13 ! [T_d,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_top__greatest,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Orderings_Otop(T_a) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_sup__top__left,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Lattices_Obounded__lattice__top(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_sup__top__right,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Lattices_Obounded__lattice__top(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__top__left,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Lattices_Obounded__lattice__top(T_a) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__top__right,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Lattices_Obounded__lattice__top(T_a) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__eq__top__iff,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Lattices_Obounded__lattice__top(T_b) % 165.99/166.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 165.99/166.13 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 165.99/166.13 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_range__eqI,axiom, % 165.99/166.13 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 165.99/166.13 ( V_b_2 = hAPP(V_f_2,V_x_2) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_rangeI,axiom, % 165.99/166.13 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Diff__UNIV,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__image__eq__iff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 165.99/166.13 <=> V_A_2 = V_B_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min_Osingleton,axiom, % 165.99/166.13 ! [V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Max_Osingleton,axiom, % 165.99/166.13 ! [V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__singleton,axiom, % 165.99/166.13 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__Collect__not,axiom, % 165.99/166.13 ! [V_P_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)))) % 165.99/166.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__range__imageI,axiom, % 165.99/166.13 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_the__inv__f__f,axiom, % 165.99/166.13 ! [V_x_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__fun__UNIVD1,axiom, % 165.99/166.13 ! [T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 165.99/166.13 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__of__nat,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( class_Nat_Osemiring__char__0(T_b) % 165.99/166.13 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_atLeast__0,axiom, % 165.99/166.13 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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_range__ex1__eq,axiom, % 165.99/166.13 ! [V_b_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 165.99/166.13 <=> ? [B_x] : % 165.99/166.13 ( V_b_2 = hAPP(V_f_2,B_x) % 165.99/166.13 & ! [B_y] : % 165.99/166.13 ( V_b_2 = hAPP(V_f_2,B_y) % 165.99/166.13 => B_y = B_x ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__image__mem__iff,axiom, % 165.99/166.13 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__UNIV__inj__surj,axiom, % 165.99/166.13 ! [V_f_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__UNIV__surj__inj,axiom, % 165.99/166.13 ! [V_f_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__image__subset__iff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__Int,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__set__diff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Max__ge,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min__le,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min__in,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Max__in,axiom, % 165.99/166.13 ! [V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__le__add__shift,axiom, % 165.99/166.13 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__UNIV__card__ge__0,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Max__mono,axiom, % 165.99/166.13 ! [V_N_2,V_M_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 165.99/166.13 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min__antimono,axiom, % 165.99/166.13 ! [V_N_2,V_M_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 165.99/166.13 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__I,axiom, % 165.99/166.13 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__eq__UN,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__Pow__subset,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__insert,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I3_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I2_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_card__UNIV__unit,axiom, % 165.99/166.13 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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_infinite__UNIV__int,axiom, % 165.99/166.13 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_ball__UN,axiom, % 165.99/166.13 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] : % 165.99/166.13 ( ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,B_x)) ) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 => ! [B_xa] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 165.99/166.13 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP__commute,axiom, % 165.99/166.13 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I9_J,axiom, % 165.99/166.13 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I9_J,axiom, % 165.99/166.13 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__UN__flatten,axiom, % 165.99/166.13 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP__le__iff,axiom, % 165.99/166.13 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2)) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_less__SUP__iff,axiom, % 165.99/166.13 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 165.99/166.13 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.13 & class_Orderings_Olinorder(T_b) ) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2))) % 165.99/166.13 <=> ? [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__iff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 165.99/166.13 <=> ? [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP__const,axiom, % 165.99/166.13 ! [V_M_2,T_b,V_A_2,T_c] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 165.99/166.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNION__empty__conv_I2_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_b,T_c] : % 165.99/166.13 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__constant,axiom, % 165.99/166.13 ! [V_c_2,T_c,T_b,V_A_2] : % 165.99/166.13 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.13 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__empty2,axiom, % 165.99/166.13 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UNION__empty__conv_I1_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b] : % 165.99/166.13 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 165.99/166.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__subset__iff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 165.99/166.13 <=> ! [B_x] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I10_J,axiom, % 165.99/166.13 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__UN,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I10_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__Un__distrib,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__Un,axiom, % 165.99/166.13 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I5_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I4_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I5_J,axiom, % 165.99/166.13 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__UN__distrib,axiom, % 165.99/166.13 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I4_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Int__UN__distrib2,axiom, % 165.99/166.13 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUPR__apply,axiom, % 165.99/166.13 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 165.99/166.13 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I6_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I6_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP__subset,axiom, % 165.99/166.13 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_le__SUPI,axiom, % 165.99/166.13 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 165.99/166.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__insert__distrib,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__upper,axiom, % 165.99/166.13 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__absorb,axiom, % 165.99/166.13 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__simps_I1_J,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__singleton,axiom, % 165.99/166.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I1_J,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I2_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__extend__simps_I3_J,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 165.99/166.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 165.99/166.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__finite2__subset,axiom, % 165.99/166.13 ! [V_B_2,V_k_2,V_A_2,T_b] : % 165.99/166.13 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__finite2__eq,axiom, % 165.99/166.13 ! [V_B_2,V_k_2,V_A_2,T_b] : % 165.99/166.13 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 165.99/166.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_UN__finite__subset,axiom, % 165.99/166.13 ! [V_C_2,V_A_2,T_b] : % 165.99/166.13 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_iso__tuple__UNIV__I,axiom, % 165.99/166.13 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inj__vimage__singleton,axiom, % 165.99/166.13 ! [V_a_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min_Oremove,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 165.99/166.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_SUP2__I,axiom, % 165.99/166.13 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimageI,axiom, % 165.99/166.13 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 165.99/166.13 ( hAPP(V_f_2,V_a_2) = V_b_2 % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf_Oidem,axiom, % 165.99/166.13 ! [V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf_Ocommute,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__commute,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 165.99/166.13 ! [V_b,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__left__idem,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 165.99/166.13 ! [V_c,V_a,V_b,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__left__commute,axiom, % 165.99/166.13 ! [V_z,V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf_Oassoc,axiom, % 165.99/166.13 ! [V_c,V_b,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__assoc,axiom, % 165.99/166.13 ! [V_z,V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__code,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 165.99/166.13 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min_Oidem,axiom, % 165.99/166.13 ! [V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__ident,axiom, % 165.99/166.13 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__le1,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__le2,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__iff__inf,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.13 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__inf__iff,axiom, % 165.99/166.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2))) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__le__iff__disj,axiom, % 165.99/166.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 165.99/166.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__infI1,axiom, % 165.99/166.13 ! [V_b,V_x,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__infI2,axiom, % 165.99/166.13 ! [V_a,V_x,V_b,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__absorb1,axiom, % 165.99/166.13 ! [V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__absorb2,axiom, % 165.99/166.13 ! [V_x,V_y,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__infI,axiom, % 165.99/166.13 ! [V_b,V_a,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 165.99/166.13 => 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__greatest,axiom, % 165.99/166.13 ! [V_z,V_y,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 165.99/166.13 => 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oinf__mono,axiom, % 165.99/166.13 ! [V_d,V_b,V_c,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 165.99/166.13 => 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))) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ole__infE,axiom, % 165.99/166.13 ! [V_b,V_a,V_x,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( 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))) % 165.99/166.13 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__less__iff__conj,axiom, % 165.99/166.13 ! [V_y_2,V_x_2,V_z_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 165.99/166.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__less__iff__disj,axiom, % 165.99/166.13 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 165.99/166.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 165.99/166.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oless__infI1,axiom, % 165.99/166.13 ! [V_b,V_x,V_a,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Oless__infI2,axiom, % 165.99/166.13 ! [V_a,V_x,V_b,T_a] : % 165.99/166.13 ( class_Orderings_Olinorder(T_a) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 165.99/166.13 => 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)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__add__distrib__left,axiom, % 165.99/166.13 ! [V_z,V_y,V_x,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__diff__distrib__left,axiom, % 165.99/166.13 ! [V_z,V_y,V_x,T_a] : % 165.99/166.13 ( class_Groups_Oordered__ab__group__add(T_a) % 165.99/166.13 => 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)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__eq,axiom, % 165.99/166.13 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 165.99/166.13 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimageD,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimageI2,axiom, % 165.99/166.13 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_inf__min,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( ( class_Lattices_Osemilattice__inf(T_b) % 165.99/166.13 & class_Orderings_Olinorder(T_b) ) % 165.99/166.13 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__0L,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__0R,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__Suc__Suc,axiom, % 165.99/166.13 ! [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)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__empty,axiom, % 165.99/166.13 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__diff,axiom, % 165.99/166.13 ! [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) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__mono,axiom, % 165.99/166.13 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__UNIV,axiom, % 165.99/166.13 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__Un,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__Int,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__Diff,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__of__mono,axiom, % 165.99/166.13 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 165.99/166.13 ( ( class_Orderings_Olinorder(T_c) % 165.99/166.13 & class_Orderings_Olinorder(T_b) ) % 165.99/166.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_n_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 165.99/166.13 ! [T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__Collect__eq,axiom, % 165.99/166.13 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__UN,axiom, % 165.99/166.13 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_image__vimage__subset,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_surj__image__vimage__eq,axiom, % 165.99/166.13 ! [V_A_2,V_f_2,T_b,T_c] : % 165.99/166.13 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.13 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__def,axiom, % 165.99/166.13 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__singleton__eq,axiom, % 165.99/166.13 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 165.99/166.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 165.99/166.13 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_vimage__insert,axiom, % 165.99/166.13 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 165.99/166.13 % 165.99/166.13 fof(fact_finite__vimageD,axiom, % 165.99/166.13 ! [V_F_2,V_h_2,T_c,T_b] : % 165.99/166.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 165.99/166.13 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 165.99/166.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 165.99/166.13 % 165.99/166.13 fof(fact_Min_Oin__idem,axiom, % 165.99/166.13 ! [V_x_2,V_A_2,T_b] : % 165.99/166.13 ( class_Orderings_Olinorder(T_b) % 165.99/166.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ). % 165.99/166.13 % 165.99/166.14 fof(fact_min__max_Omono__inf,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 165.99/166.14 ( ( class_Lattices_Osemilattice__inf(T_c) % 165.99/166.14 & class_Orderings_Olinorder(T_b) ) % 165.99/166.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__subsetD,axiom, % 165.99/166.14 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 165.99/166.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__vimage__eq,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_finite__vimageI,axiom, % 165.99/166.14 ! [V_h_2,T_c,V_F_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.14 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 165.99/166.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_inj__vimage__image__eq,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastAtMostR1,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_b_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastAtMostL1,axiom, % 165.99/166.14 ! [V_d_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_OF__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__const,axiom, % 165.99/166.14 ! [T_c,V_A_2,V_c_2,T_b] : % 165.99/166.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__eq__UN,axiom, % 165.99/166.14 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__Suc2,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__Suc1,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ofold1__belowI,axiom, % 165.99/166.14 ! [V_a_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Obelow__fold1__iff,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 165.99/166.14 <=> ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_fold1__below__iff,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 165.99/166.14 <=> ? [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_strict__below__fold1__iff,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 165.99/166.14 <=> ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_fold1__strict__below__iff,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 165.99/166.14 <=> ? [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min__insert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Osubset__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min__Un,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__subsetI,axiom, % 165.99/166.14 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Oinsert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_fold1__antimono,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Oinsert__remove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Ounion__inter,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Ounion__disjoint,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_dual__max,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__ord__min,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( class_Orderings_Oord(T_b) % 165.99/166.14 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Oclosed,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oremove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Min_Ohom__commute,axiom, % 165.99/166.14 ! [V_N_2,V_h_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_SUP2__iff,axiom, % 165.99/166.14 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 165.99/166.14 <=> ? [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_inf__nat__def,axiom, % 165.99/166.14 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 165.99/166.14 ! [V_N_2,V_h_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oremove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__add__distrib__left,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__diff__distrib__left,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_sup__max,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( ( class_Lattices_Osemilattice__sup(T_b) % 165.99/166.14 & class_Orderings_Olinorder(T_b) ) % 165.99/166.14 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__0R,axiom, % 165.99/166.14 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__0L,axiom, % 165.99/166.14 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__Suc__Suc,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup_Oidem,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup_Ocommute,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__commute,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup_Oleft__idem,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__left__idem,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup_Oleft__commute,axiom, % 165.99/166.14 ! [V_c,V_a,V_b,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__left__commute,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup_Oassoc,axiom, % 165.99/166.14 ! [V_c,V_b,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__assoc,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oidem,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oless__supI2,axiom, % 165.99/166.14 ! [V_a,V_b,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oless__supI1,axiom, % 165.99/166.14 ! [V_b,V_a,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__less__iff__conj,axiom, % 165.99/166.14 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_less__max__iff__disj,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,V_z_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 165.99/166.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__supE,axiom, % 165.99/166.14 ! [V_x,V_b,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( 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)) % 165.99/166.14 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.99/166.14 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__mono,axiom, % 165.99/166.14 ! [V_d,V_b,V_c,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 165.99/166.14 => 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))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__least,axiom, % 165.99/166.14 ! [V_z,V_x,V_y,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 165.99/166.14 => 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)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__supI,axiom, % 165.99/166.14 ! [V_b,V_x,V_a,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 165.99/166.14 => 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)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__absorb1,axiom, % 165.99/166.14 ! [V_x,V_y,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__absorb2,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__supI2,axiom, % 165.99/166.14 ! [V_a,V_b,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__supI1,axiom, % 165.99/166.14 ! [V_b,V_a,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__sup__iff,axiom, % 165.99/166.14 ! [V_z_2,V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__max__iff__disj,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,V_z_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 165.99/166.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ole__iff__sup,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 165.99/166.14 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__maxI2,axiom, % 165.99/166.14 ! [V_x,V_y,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__maxI1,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__inf__absorb,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__sup__absorb,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__inf__distrib1,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__inf__distrib2,axiom, % 165.99/166.14 ! [V_x,V_z,V_y,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 165.99/166.14 ! [V_x,V_z,V_y,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__of__mono,axiom, % 165.99/166.14 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 165.99/166.14 ( ( class_Orderings_Olinorder(T_c) % 165.99/166.14 & class_Orderings_Olinorder(T_b) ) % 165.99/166.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_n_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Odistrib__sup__le,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Odistrib__inf__le,axiom, % 165.99/166.14 ! [V_z,V_y,V_x,T_a] : % 165.99/166.14 ( class_Orderings_Olinorder(T_a) % 165.99/166.14 => 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)))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nat__minus__add__max,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__Suc1,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__Suc2,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_max__ord__max,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( class_Orderings_Oord(T_b) % 165.99/166.14 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oin__idem,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Omono__sup,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 165.99/166.14 ( ( class_Lattices_Osemilattice__sup(T_c) % 165.99/166.14 & class_Orderings_Olinorder(T_b) ) % 165.99/166.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastAtMost,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastLessThan,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__greaterThanAtMost,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__greaterThanLessThan,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastAtMostR2,axiom, % 165.99/166.14 ! [V_d_2,V_c_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Int__atLeastAtMostL2,axiom, % 165.99/166.14 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_OF__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_dual__min,axiom, % 165.99/166.14 ! [T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max__insert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Osubset__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Osup__Inf__absorb,axiom, % 165.99/166.14 ! [V_a_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max__Un,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oinsert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oinsert__remove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Ounion__inter,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Ounion__disjoint,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Oclosed,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OInf__le__Sup,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oremove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_sup__nat__def,axiom, % 165.99/166.14 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 165.99/166.14 ! [V_a_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 165.99/166.14 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 165.99/166.14 ! [V_N_2,V_h_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Max_Ohom__commute,axiom, % 165.99/166.14 ! [V_N_2,V_h_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 165.99/166.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_finite__UN__I,axiom, % 165.99/166.14 ! [V_B_2,T_c,V_A_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ! [B_a] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 165.99/166.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__nat__eq__if,axiom, % 165.99/166.14 ! [V_z_2,V_z_H_2] : % 165.99/166.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 165.99/166.14 => 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) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 165.99/166.14 => 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)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__neg__0,axiom, % 165.99/166.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__neg__int,axiom, % 165.99/166.14 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__neg__1,axiom, % 165.99/166.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__neg__eq__ge__0,axiom, % 165.99/166.14 ! [V_x_2] : % 165.99/166.14 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__def,axiom, % 165.99/166.14 ! [V_Z_2] : % 165.99/166.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__nat,axiom, % 165.99/166.14 ! [V_z] : % 165.99/166.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 165.99/166.14 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__neg__nat,axiom, % 165.99/166.14 ! [V_z] : % 165.99/166.14 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 165.99/166.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setsum__cases,axiom, % 165.99/166.14 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__add(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oremove,axiom, % 165.99/166.14 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osize_I5_J,axiom, % 165.99/166.14 ! [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))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osize_I13_J,axiom, % 165.99/166.14 ! [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))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_fold__image__1,axiom, % 165.99/166.14 ! [V_f_2,V_S_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 165.99/166.14 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.14 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_inj__uminus,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_ComplI,axiom, % 165.99/166.14 ! [V_A_2,V_c_2,T_b] : % 165.99/166.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evaln__elim__cases_I5_J,axiom, % 165.99/166.14 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 165.99/166.14 ( 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) % 165.99/166.14 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) ) % 165.99/166.14 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evaln_OIfTrue,axiom, % 165.99/166.14 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 165.99/166.14 ( hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2) % 165.99/166.14 => 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) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evaln_OIfFalse,axiom, % 165.99/166.14 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 165.99/166.14 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2) % 165.99/166.14 => 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) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evalc_OIfFalse,axiom, % 165.99/166.14 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 165.99/166.14 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 165.99/166.14 => 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)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evalc_OIfTrue,axiom, % 165.99/166.14 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 165.99/166.14 ( hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 165.99/166.14 => 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)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evalc__elim__cases_I5_J,axiom, % 165.99/166.14 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 165.99/166.14 ( 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)) % 165.99/166.14 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 165.99/166.14 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 165.99/166.14 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__le__compl__iff,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__mono,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__minus__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__le__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__le__iff__le,axiom, % 165.99/166.14 ! [V_a_2,V_b_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__imp__neg__le,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.14 => 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))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__equal__zero,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 165.99/166.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__equal__0__iff__equal,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_equal__neg__zero,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 165.99/166.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__0__equal__iff__equal,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 165.99/166.14 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__zero,axiom, % 165.99/166.14 ! [T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_less__minus__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__less__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__less__iff__less,axiom, % 165.99/166.14 ! [V_a_2,V_b_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_int__setprod,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 165.99/166.14 % 165.99/166.14 fof(fact_of__nat__setprod,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.14 & class_Rings_Osemiring__1(T_b) ) % 165.99/166.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I4_J,axiom, % 165.99/166.14 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 165.99/166.14 ( 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) % 165.99/166.14 <=> ( V_fun_2 = V_fun_H_2 % 165.99/166.14 & V_com1_2 = V_com1_H_2 % 165.99/166.14 & V_com2_2 = V_com2_H_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__eq__compl__iff,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_b) % 165.99/166.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 165.99/166.14 <=> V_x_2 = V_y_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__eq__Compl__iff,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) % 165.99/166.14 <=> V_A_2 = V_B_2 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_uminus__apply,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ouminus(T_b) % 165.99/166.14 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_double__compl,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_double__complement,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 165.99/166.14 % 165.99/166.14 fof(fact_fun__Compl__def,axiom, % 165.99/166.14 ! [V_x_2,V_A_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ouminus(T_b) % 165.99/166.14 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__equal__iff__equal,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 165.99/166.14 <=> V_a_2 = V_b_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__equation__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 165.99/166.14 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_equation__minus__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 165.99/166.14 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__minus,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__diff__eq,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oab__group__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__iff,axiom, % 165.99/166.14 ! [V_A_2,V_c_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 165.99/166.14 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_ComplD,axiom, % 165.99/166.14 ! [V_A_2,V_c_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 165.99/166.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_ComplE,axiom, % 165.99/166.14 ! [V_A_2,V_c_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 165.99/166.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__mult__right,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Oring(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__mult__left,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Oring(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__mult__commute,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Oring(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__mult__minus,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Oring(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_square__eq__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Rings_Oidom(T_b) % 165.99/166.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2) % 165.99/166.14 <=> ( V_a_2 = V_b_2 % 165.99/166.14 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__add__distrib,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oab__group__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__add,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_add__minus__cancel,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__add__cancel,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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 ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__minus__cancel,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__subset__Compl__iff,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__anti__mono,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__Compl,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__timesf,axiom, % 165.99/166.14 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__1,axiom, % 165.99/166.14 ! [V_A_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__setprod,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( class_Fields_Olinordered__field(T_b) % 165.99/166.14 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setsum__negf,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Oab__group__add(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Collect__neg__eq,axiom, % 165.99/166.14 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evaln_Oequations_I6_J,axiom, % 165.99/166.14 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 165.99/166.14 ( 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) % 165.99/166.14 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) % 165.99/166.14 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evaln_Oequations_I5_J,axiom, % 165.99/166.14 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 165.99/166.14 ( 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) % 165.99/166.14 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) % 165.99/166.14 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evalc_Oequations_I5_J,axiom, % 165.99/166.14 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 165.99/166.14 ( 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)) % 165.99/166.14 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 165.99/166.14 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_evalc_Oequations_I6_J,axiom, % 165.99/166.14 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 165.99/166.14 ( 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)) % 165.99/166.14 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 165.99/166.14 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I54_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I55_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I52_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I53_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_b] : % 165.99/166.14 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.14 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I45_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I44_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I15_J,axiom, % 165.99/166.14 ! [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 ). % 165.99/166.14 % 165.99/166.14 fof(fact_com_Osimps_I14_J,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__zero,axiom, % 165.99/166.14 ! [V_f_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ? [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__zero__iff,axiom, % 165.99/166.14 ! [V_f_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( ( class_Rings_Ocomm__semiring__1(T_c) % 165.99/166.14 & class_Rings_Ono__zero__divisors(T_c) ) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) % 165.99/166.14 <=> ? [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.14 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__empty,axiom, % 165.99/166.14 ! [V_f_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oempty,axiom, % 165.99/166.14 ! [V_g_2,T_c,T_b] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oinfinite,axiom, % 165.99/166.14 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__infinite,axiom, % 165.99/166.14 ! [V_f_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__eq__1__iff,axiom, % 165.99/166.14 ! [V_f_2,V_F_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 165.99/166.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 165.99/166.14 <=> ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 165.99/166.14 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__0__le__iff__le,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_le__minus__self__iff,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__le__0__iff__le,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__le__self__iff,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__0__less__iff__less,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__less__0__iff__less,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_neg__less__nonneg,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_less__minus__self__iff,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 165.99/166.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_right__minus,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_eq__neg__iff__add__eq__0,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_b) % 165.99/166.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 165.99/166.14 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_left__minus,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_ab__left__minus,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oab__group__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__unique,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__0,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__minus__eq__add,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_ab__diff__minus,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oab__group__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__def,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Ogroup__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__ring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__ring__1(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_square__eq__1__iff,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 165.99/166.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 165.99/166.14 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 165.99/166.14 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__inf__bot,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_inf__compl__bot,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__eq,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__top__eq,axiom, % 165.99/166.14 ! [T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__bot__eq,axiom, % 165.99/166.14 ! [T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__sup,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__inf,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__sup__top,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_sup__compl__top,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__ge__minus__self,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => 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))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__le__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__leI,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__le__D2,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__less__iff,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,T_b] : % 165.99/166.14 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 165.99/166.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 165.99/166.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_subset__Compl__self__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( 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)),V_A_2))) % 165.99/166.14 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__UNIV__eq,axiom, % 165.99/166.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__empty__eq,axiom, % 165.99/166.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_finite__compl,axiom, % 165.99/166.14 ! [V_A_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 165.99/166.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__disjoint,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__disjoint2,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 165.99/166.14 ! [V_f_2,V_A_2,T_b] : % 165.99/166.14 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.14 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.14 => ( c_Nat__Transfer_Onat__set(V_A_2) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__partition2,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__partition,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__Un,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__Int,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__min__eq__max,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__max__eq__min,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__atLeastAtMost,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__eq__Diff__UNIV,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__Diff__eq,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Diff__eq,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Diff__Compl,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Odistrib,axiom, % 165.99/166.14 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Ints__minus,axiom, % 165.99/166.14 ! [V_a_2,T_b] : % 165.99/166.14 ( class_Rings_Oring__1(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__greaterThanLessThan,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__eq,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__lessThan,axiom, % 165.99/166.14 ! [V_k_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__atLeast,axiom, % 165.99/166.14 ! [V_k_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Collect__imp__eq,axiom, % 165.99/166.14 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__atMost,axiom, % 165.99/166.14 ! [V_k_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Compl__greaterThan,axiom, % 165.99/166.14 ! [V_k_2,T_b] : % 165.99/166.14 ( class_Orderings_Olinorder(T_b) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__pos__nat__iff,axiom, % 165.99/166.14 ! [V_f_2,V_S_2,T_b] : % 165.99/166.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) % 165.99/166.14 <=> ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 165.99/166.14 => 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))) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__minus__le__zero,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => 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))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__of__nonpos,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__if,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oabs__if(T_a) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_abs__of__neg,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__delta,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__delta_H,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_disjoint__eq__subset__Compl,axiom, % 165.99/166.14 ! [V_B_2,V_A_2,T_b] : % 165.99/166.14 ( 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)) % 165.99/166.14 <=> 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)),V_B_2))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_surj__Compl__image__subset,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_b,T_c] : % 165.99/166.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__greaterThanAtMost,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__atLeastLessThan,axiom, % 165.99/166.14 ! [V_y_2,V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__greaterThan,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__lessThan,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__atMost,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_image__uminus__atLeast,axiom, % 165.99/166.14 ! [V_x_2,T_b] : % 165.99/166.14 ( class_Groups_Oordered__ab__group__add(T_b) % 165.99/166.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__insert,axiom, % 165.99/166.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oinsert,axiom, % 165.99/166.14 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Pow__Compl,axiom, % 165.99/166.14 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Ounion__inter,axiom, % 165.99/166.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__Un__Int,axiom, % 165.99/166.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_OF__eq,axiom, % 165.99/166.14 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oeq__fold,axiom, % 165.99/166.14 ! [V_g_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_compl__unique,axiom, % 165.99/166.14 ! [V_y,V_x,T_a] : % 165.99/166.14 ( class_Lattices_Oboolean__algebra(T_a) % 165.99/166.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 165.99/166.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_inj__image__Compl__subset,axiom, % 165.99/166.14 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_vimage__if,axiom, % 165.99/166.14 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 165.99/166.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 165.99/166.14 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Oinsert__remove,axiom, % 165.99/166.14 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__Un__disjoint,axiom, % 165.99/166.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Ounion__disjoint,axiom, % 165.99/166.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( 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)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__Min__eq__Max,axiom, % 165.99/166.14 ! [V_S_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__Max__eq__Min,axiom, % 165.99/166.14 ! [V_S_2,T_b] : % 165.99/166.14 ( class_Groups_Olinordered__ab__group__add(T_b) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 165.99/166.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__Un__one,axiom, % 165.99/166.14 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.14 => ( ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 165.99/166.14 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod_Ounion__inter__neutral,axiom, % 165.99/166.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.14 => ( ! [B_x] : % 165.99/166.14 ( 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))) % 165.99/166.14 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__gen__delta,axiom, % 165.99/166.14 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__diff1,axiom, % 165.99/166.14 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Fields_Ofield(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 165.99/166.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 165.99/166.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__mono__one__right,axiom, % 165.99/166.14 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 165.99/166.14 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 165.99/166.14 => ( ! [B_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 165.99/166.14 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_negative__zle,axiom, % 165.99/166.14 ! [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))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_negative__zless,axiom, % 165.99/166.14 ! [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))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zminus__zadd__distrib,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_minus__divide__left,axiom, % 165.99/166.14 ! [V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zminus__0,axiom, % 165.99/166.14 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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 165.99/166.14 ! [V_q,V_p,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zpower__zpower,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__divide__distrib,axiom, % 165.99/166.14 ! [V_c,V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 165.99/166.14 ! [V_q,V_y,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__1,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_int__power,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zpower__int,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_times__divide__eq__right,axiom, % 165.99/166.14 ! [V_c,V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_add__divide__distrib,axiom, % 165.99/166.14 ! [V_c,V_b,V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__zero,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__zero__left,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zmult__zminus,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 165.99/166.14 ! [V_n,V_x] : % 165.99/166.14 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.14 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 165.99/166.14 ! [V_n,V_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nat__power__eq,axiom, % 165.99/166.14 ! [V_n,V_z] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setsum__divide__distrib,axiom, % 165.99/166.14 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 165.99/166.14 ( class_Fields_Ofield(T_b) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nonzero__eq__divide__eq,axiom, % 165.99/166.14 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_b) % 165.99/166.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 165.99/166.14 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nonzero__divide__eq__eq,axiom, % 165.99/166.14 ! [V_a_2,V_b_2,V_c_2,T_b] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_b) % 165.99/166.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 165.99/166.14 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__eq__imp,axiom, % 165.99/166.14 ! [V_a,V_b,V_c,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_eq__divide__imp,axiom, % 165.99/166.14 ! [V_b,V_a,V_c,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 165.99/166.14 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_right__inverse__eq,axiom, % 165.99/166.14 ! [V_a_2,V_b_2,T_b] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_b) % 165.99/166.14 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 165.99/166.14 <=> V_a_2 = V_b_2 ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__self,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_divide__self__if,axiom, % 165.99/166.14 ! [V_a,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 165.99/166.14 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 165.99/166.14 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nonzero__minus__divide__divide,axiom, % 165.99/166.14 ! [V_a,V_b,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => 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) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nonzero__minus__divide__right,axiom, % 165.99/166.14 ! [V_a,V_b,T_a] : % 165.99/166.14 ( class_Rings_Odivision__ring(T_a) % 165.99/166.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.14 => 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)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 165.99/166.14 ! [V_q,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 165.99/166.14 ! [V_q,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 165.99/166.14 ! [V_q,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 165.99/166.14 ! [V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 165.99/166.14 ! [V_q,V_p,V_x,T_a] : % 165.99/166.14 ( class_Rings_Ocomm__semiring__1(T_a) % 165.99/166.14 => 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)) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 165.99/166.14 ! [V_n,V_x] : % 165.99/166.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.14 => 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))) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zpower__zadd__distrib,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zadd__zminus__inverse2,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_negative__eq__positive,axiom, % 165.99/166.14 ! [V_m_2,V_n_2] : % 165.99/166.14 ( 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) % 165.99/166.14 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_not__int__zless__negative,axiom, % 165.99/166.14 ! [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)))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__int__def,axiom, % 165.99/166.14 ! [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)) ). % 165.99/166.14 % 165.99/166.14 fof(fact_diff__int__def__symmetric,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_Ints__power,axiom, % 165.99/166.14 ! [V_n_2,V_a_2,T_b] : % 165.99/166.14 ( class_Rings_Oring__1(T_b) % 165.99/166.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 165.99/166.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_setprod__dividef,axiom, % 165.99/166.14 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 165.99/166.14 ( class_Fields_Ofield__inverse__zero(T_c) % 165.99/166.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_geometric__sum,axiom, % 165.99/166.14 ! [V_n_2,V_x_2,T_b] : % 165.99/166.14 ( class_Fields_Ofield(T_b) % 165.99/166.14 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 165.99/166.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_int__zle__neg,axiom, % 165.99/166.14 ! [V_m_2,V_n_2] : % 165.99/166.14 ( 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)))) % 165.99/166.14 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.14 % 165.99/166.14 fof(fact_negative__zle__0,axiom, % 165.99/166.14 ! [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))) ). % 165.99/166.14 % 165.99/166.14 fof(fact_nat__zminus__int,axiom, % 165.99/166.14 ! [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) ). % 165.99/166.14 % 165.99/166.14 fof(fact_zero__le__zpower__abs,axiom, % 165.99/166.15 ! [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))) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zabs__def,axiom, % 165.99/166.15 ! [V_i] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__zminus__int,axiom, % 165.99/166.15 ! [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))))) ). % 165.99/166.15 % 165.99/166.15 fof(fact_setprod__constant,axiom, % 165.99/166.15 ! [V_y_2,V_A_2,T_b,T_c] : % 165.99/166.15 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_not__zle__0__negative,axiom, % 165.99/166.15 ! [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))))) ). % 165.99/166.15 % 165.99/166.15 fof(fact_negative__zless__0,axiom, % 165.99/166.15 ! [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))) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__eq__if,axiom, % 165.99/166.15 ! [V_p,V_m] : % 165.99/166.15 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 165.99/166.15 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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)))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__less__zpower__abs__iff,axiom, % 165.99/166.15 ! [V_n_2,V_x_2] : % 165.99/166.15 ( 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))) % 165.99/166.15 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_card__Pow,axiom, % 165.99/166.15 ! [V_A_2,T_b] : % 165.99/166.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.15 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__mult__distrib__neg,axiom, % 165.99/166.15 ! [V_z_H,V_z] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__strict__mono,axiom, % 165.99/166.15 ! [V_n,V_b,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__diff,axiom, % 165.99/166.15 ! [V_m,V_n,V_a,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_one__less__power,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__increasing__iff,axiom, % 165.99/166.15 ! [V_y_2,V_x_2,V_b_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__le__imp__le__exp,axiom, % 165.99/166.15 ! [V_n,V_m,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zminus__zminus,axiom, % 165.99/166.15 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 165.99/166.15 % 165.99/166.15 fof(fact_field__power__not__zero,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 165.99/166.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 165.99/166.15 ! [V_m_2,V_x_2] : % 165.99/166.15 ( 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)) % 165.99/166.15 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__Suc__0,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__power__less__imp__less,axiom, % 165.99/166.15 ! [V_n,V_m,V_i] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__zero__less__power__iff,axiom, % 165.99/166.15 ! [V_n_2,V_x_2] : % 165.99/166.15 ( 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))) % 165.99/166.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 165.99/166.15 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__mult__distrib,axiom, % 165.99/166.15 ! [V_n,V_b,V_a,T_a] : % 165.99/166.15 ( class_Groups_Ocomm__monoid__mult(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__commutes,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__one,axiom, % 165.99/166.15 ! [V_n,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__nat__power,axiom, % 165.99/166.15 ! [V_n,V_m,T_a] : % 165.99/166.15 ( class_Rings_Osemiring__1(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__mult,axiom, % 165.99/166.15 ! [V_n,V_m,V_a,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__divide,axiom, % 165.99/166.15 ! [V_n,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__abs,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__one__right,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__le__power,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__mono,axiom, % 165.99/166.15 ! [V_n,V_b,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__less__power,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__eq__0__iff,axiom, % 165.99/166.15 ! [V_n_2,V_a_2,T_b] : % 165.99/166.15 ( ( class_Power_Opower(T_b) % 165.99/166.15 & class_Rings_Omult__zero(T_b) % 165.99/166.15 & class_Rings_Ono__zero__divisors(T_b) % 165.99/166.15 & class_Rings_Ozero__neq__one(T_b) ) % 165.99/166.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_one__le__power,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__0__Suc,axiom, % 165.99/166.15 ! [V_n,T_a] : % 165.99/166.15 ( ( class_Power_Opower(T_a) % 165.99/166.15 & class_Rings_Osemiring__0(T_a) ) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__inject__exp,axiom, % 165.99/166.15 ! [V_n_2,V_m_2,V_a_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 165.99/166.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) % 165.99/166.15 <=> V_m_2 = V_n_2 ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__Suc2,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__Suc,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Power_Opower(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__one__le__power,axiom, % 165.99/166.15 ! [V_n,V_i] : % 165.99/166.15 ( 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)) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__0,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Power_Opower(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__add,axiom, % 165.99/166.15 ! [V_n,V_m,V_a,T_a] : % 165.99/166.15 ( class_Groups_Omonoid__mult(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nonzero__power__divide,axiom, % 165.99/166.15 ! [V_n,V_a,V_b,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__one__over,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_abs__power__minus,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__less__imp__less__base,axiom, % 165.99/166.15 ! [V_b,V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( 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))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__inject__base,axiom, % 165.99/166.15 ! [V_b,V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( 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)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.15 => V_a = V_b ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__le__imp__le__base,axiom, % 165.99/166.15 ! [V_b,V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( 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)))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__less__power__Suc,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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)))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__gt1__lemma,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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)))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__0__left,axiom, % 165.99/166.15 ! [V_n,T_a] : % 165.99/166.15 ( ( class_Power_Opower(T_a) % 165.99/166.15 & class_Rings_Osemiring__0(T_a) ) % 165.99/166.15 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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) ) % 165.99/166.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__gt1,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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)))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__strict__increasing__iff,axiom, % 165.99/166.15 ! [V_y_2,V_x_2,V_b_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__less__imp__less__exp,axiom, % 165.99/166.15 ! [V_n,V_m,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__strict__increasing,axiom, % 165.99/166.15 ! [V_a,V_N,V_n,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__le__power__abs,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__increasing,axiom, % 165.99/166.15 ! [V_a,V_N,V_n,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__minus,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__Suc__less,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__eq__imp__eq__base,axiom, % 165.99/166.15 ! [V_b,V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( 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) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => V_a = V_b ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__Suc__less__one,axiom, % 165.99/166.15 ! [V_n,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__strict__decreasing,axiom, % 165.99/166.15 ! [V_a,V_N,V_n,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__decreasing,axiom, % 165.99/166.15 ! [V_a,V_N,V_n,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__semidom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_le__divide__eq,axiom, % 165.99/166.15 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__le__eq,axiom, % 165.99/166.15 ! [V_a_2,V_c_2,V_b_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__le__divide__eq,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__divide__le__eq,axiom, % 165.99/166.15 ! [V_a_2,V_b_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_times__divide__times__eq,axiom, % 165.99/166.15 ! [V_w,V_z,V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_minus__divide__right,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_minus__divide__divide,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_abs__divide,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__right__mono__neg,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__right__mono,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__le__0__iff,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__le__divide__iff,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__strict__right__mono__neg,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__strict__right__mono,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__neg__neg,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__neg__pos,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__pos__neg,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__pos__pos,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__less__0__iff,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zero__less__divide__iff,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_frac__eq__eq,axiom, % 165.99/166.15 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 165.99/166.15 ( class_Fields_Ofield(T_b) % 165.99/166.15 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2) % 165.99/166.15 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__divide__mult__cancel__left,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__divide__mult__cancel__right,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__eq__eq,axiom, % 165.99/166.15 ! [V_a_2,V_c_2,V_b_2,T_b] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_b) % 165.99/166.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 165.99/166.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 165.99/166.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_eq__divide__eq,axiom, % 165.99/166.15 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_b) % 165.99/166.15 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 165.99/166.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 165.99/166.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nonzero__abs__divide,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__nonpos__neg,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__nonpos__pos,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_frac__le,axiom, % 165.99/166.15 ! [V_z,V_w,V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 165.99/166.15 => 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))) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_frac__less,axiom, % 165.99/166.15 ! [V_z,V_w,V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 165.99/166.15 => 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))) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_frac__less2,axiom, % 165.99/166.15 ! [V_z,V_w,V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 165.99/166.15 => 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))) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__nonneg__neg,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__nonneg__pos,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_less__divide__eq,axiom, % 165.99/166.15 ! [V_c_2,V_b_2,V_a_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__less__eq,axiom, % 165.99/166.15 ! [V_a_2,V_c_2,V_b_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__less__divide__eq,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__divide__less__eq,axiom, % 165.99/166.15 ! [V_a_2,V_b_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__imp__div__pos__less,axiom, % 165.99/166.15 ! [V_z,V_x,V_y,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__imp__less__div__pos,axiom, % 165.99/166.15 ! [V_x,V_z,V_y,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => ( 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)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__less__divide__eq,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__divide__less__eq,axiom, % 165.99/166.15 ! [V_a_2,V_b_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__strict__left__mono,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__strict__left__mono__neg,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_add__frac__eq,axiom, % 165.99/166.15 ! [V_w,V_x,V_z,V_y,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__add__eq__iff,axiom, % 165.99/166.15 ! [V_y,V_x,V_z,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_add__frac__num,axiom, % 165.99/166.15 ! [V_z,V_x,V_y,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_add__divide__eq__iff,axiom, % 165.99/166.15 ! [V_y,V_x,V_z,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_add__num__frac,axiom, % 165.99/166.15 ! [V_x,V_z,V_y,T_a] : % 165.99/166.15 ( class_Fields_Ofield__inverse__zero(T_a) % 165.99/166.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_diff__divide__eq__iff,axiom, % 165.99/166.15 ! [V_y,V_x,V_z,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__diff__eq__iff,axiom, % 165.99/166.15 ! [V_y,V_x,V_z,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_diff__frac__eq,axiom, % 165.99/166.15 ! [V_w,V_x,V_z,V_y,T_a] : % 165.99/166.15 ( class_Fields_Ofield(T_a) % 165.99/166.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_less__half__sum,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.15 => 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))))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_gt__half__sum,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_abs__div__pos,axiom, % 165.99/166.15 ! [V_x,V_y,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__left__mono__neg,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divide__left__mono,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__divide__le__eq,axiom, % 165.99/166.15 ! [V_a_2,V_b_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__le__divide__eq,axiom, % 165.99/166.15 ! [V_b_2,V_a_2,V_c_2,T_b] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__imp__le__div__pos,axiom, % 165.99/166.15 ! [V_x,V_z,V_y,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => ( 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)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mult__imp__div__pos__le,axiom, % 165.99/166.15 ! [V_z,V_x,V_y,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 165.99/166.15 ! [V_f_2,V_A_2,T_b] : % 165.99/166.15 ( ! [B_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 165.99/166.15 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 165.99/166.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_setprod__Un,axiom, % 165.99/166.15 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 165.99/166.15 ( class_Fields_Ofield(T_c) % 165.99/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 165.99/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 165.99/166.15 => ( ! [B_x] : % 165.99/166.15 ( 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))) % 165.99/166.15 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 165.99/166.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power__power__power,axiom, % 165.99/166.15 ! [T_b] : % 165.99/166.15 ( class_Power_Opower(T_b) % 165.99/166.15 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_int__power__div__base,axiom, % 165.99/166.15 ! [V_k,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 165.99/166.15 => 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)))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__by__0,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__0,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__by__1,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.15 => ( c_Nat__Transfer_Ois__nat(V_y) % 165.99/166.15 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zero,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zminus2,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zminus__zminus,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__neg__pos__less0,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 165.99/166.15 ! [V_a_2,V_b_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 165.99/166.15 ! [V_a_2,V_b_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__self,axiom, % 165.99/166.15 ! [V_a] : % 165.99/166.15 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__mult1__if,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) % 165.99/166.15 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self2__is__id,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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 ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self1__is__id,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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 ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__mult2,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__mult1,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__self,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__mono1__neg,axiom, % 165.99/166.15 ! [V_b,V_a_H,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__mono1,axiom, % 165.99/166.15 ! [V_b,V_a_H,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__neg__neg__trivial,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__mono2__neg,axiom, % 165.99/166.15 ! [V_b,V_b_H,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__nonpos__pos__le0,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 165.99/166.15 ! [V_a_2,V_b_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__pos__pos__trivial,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__nonneg__neg__le0,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__mono2,axiom, % 165.99/166.15 ! [V_b,V_b_H,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 165.99/166.15 ! [V_b_2,V_a_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 165.99/166.15 ! [V_i_2,V_k_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 165.99/166.15 ! [V_a_2,V_b_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__eq__0__iff,axiom, % 165.99/166.15 ! [V_k_2,V_i_2] : % 165.99/166.15 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 165.99/166.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_int__div__less__self,axiom, % 165.99/166.15 ! [V_k,V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zmult2__eq,axiom, % 165.99/166.15 ! [V_b,V_a,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_power_Opower_Opower__0,axiom, % 165.99/166.15 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 165.99/166.15 % 165.99/166.15 fof(fact_power_Opower_Opower__Suc,axiom, % 165.99/166.15 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self1,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self2,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__add__self2,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__add__self1,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divmod__int__rel__div__eq,axiom, % 165.99/166.15 ! [V_r_1,V_y,V_b_1,V_a_1] : % 165.99/166.15 ( 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) % 165.99/166.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 165.99/166.15 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__zdiv,axiom, % 165.99/166.15 ! [V_k_2,V_n_2,V_P_2] : % 165.99/166.15 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 165.99/166.15 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 165.99/166.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.15 => ! [B_i] : % 165.99/166.15 ( ? [B_j] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 165.99/166.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ! [B_i] : % 165.99/166.15 ( ? [B_j] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_z3div__def,axiom, % 165.99/166.15 ! [V_k,V_l] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 165.99/166.15 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__of__nat,axiom, % 165.99/166.15 ! [V_k,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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)))) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_negD,axiom, % 165.99/166.15 ! [V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ? [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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_setprod__mono__one__left,axiom, % 165.99/166.15 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 165.99/166.15 ( class_Groups_Ocomm__monoid__mult(T_c) % 165.99/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 165.99/166.15 => ( ! [B_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 165.99/166.15 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 165.99/166.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult2__eq,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__le__mono,axiom, % 165.99/166.15 ! [V_k,V_n,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__le__dividend,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__eq__iff,axiom, % 165.99/166.15 ! [V_z_2,V_w_2,T_b] : % 165.99/166.15 ( class_Int_Oring__char__0(T_b) % 165.99/166.15 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 165.99/166.15 <=> V_w_2 = V_z_2 ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__int__eq,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__1,axiom, % 165.99/166.15 ! [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 ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__less,axiom, % 165.99/166.15 ! [V_n,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__mult__div__cancel__disj,axiom, % 165.99/166.15 ! [V_n,V_m,V_k] : % 165.99/166.15 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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) ) % 165.99/166.15 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__int,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__0,axiom, % 165.99/166.15 ! [T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__0__eq__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Int_Oring__char__0(T_b) % 165.99/166.15 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 165.99/166.15 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__eq__0__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Int_Oring__char__0(T_b) % 165.99/166.15 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__le__iff,axiom, % 165.99/166.15 ! [V_z_2,V_w_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__less__iff,axiom, % 165.99/166.15 ! [V_z_2,V_w_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__add,axiom, % 165.99/166.15 ! [V_z,V_w,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__mult,axiom, % 165.99/166.15 ! [V_z,V_w,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__1,axiom, % 165.99/166.15 ! [T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__diff,axiom, % 165.99/166.15 ! [V_z,V_w,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__of__nat__eq,axiom, % 165.99/166.15 ! [V_n,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__minus,axiom, % 165.99/166.15 ! [V_z,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Ints__of__int,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Rings_Oring__1(T_b) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__power,axiom, % 165.99/166.15 ! [V_n,V_z,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__le__mono2,axiom, % 165.99/166.15 ! [V_k,V_n,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__mult__div__cancel1,axiom, % 165.99/166.15 ! [V_n,V_m,V_k] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self__is__m,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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 ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mult__self1__is__m,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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 ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__less__dividend,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__setsum,axiom, % 165.99/166.15 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.15 ( class_Rings_Oring__1(T_b) % 165.99/166.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__setprod,axiom, % 165.99/166.15 ! [V_A_2,V_f_2,T_c,T_b] : % 165.99/166.15 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 165.99/166.15 & class_Rings_Oring__1(T_b) ) % 165.99/166.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__geq,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__if,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__div,axiom, % 165.99/166.15 ! [V_k_2,V_n_2,V_P_2] : % 165.99/166.15 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 165.99/166.15 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 165.99/166.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => ! [B_i,B_j] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 165.99/166.15 => ( 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) % 165.99/166.15 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__div__distrib,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__le__0__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__0__le__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__less__0__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__int__0__less__iff,axiom, % 165.99/166.15 ! [V_z_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 165.99/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_of__nat__nat,axiom, % 165.99/166.15 ! [V_z,T_a] : % 165.99/166.15 ( class_Rings_Oring__1(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_le__div__geq,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__div__lemma,axiom, % 165.99/166.15 ! [V_m_2,V_q_2,V_n_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 165.99/166.15 => ( ( 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)) % 165.99/166.15 & 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)))) ) % 165.99/166.15 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__div_H,axiom, % 165.99/166.15 ! [V_n_2,V_m_2,V_P_2] : % 165.99/166.15 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 165.99/166.15 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 165.99/166.15 | ? [B_q] : % 165.99/166.15 ( 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)) % 165.99/166.15 & 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)))) % 165.99/166.15 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Nitpick_Onat__lcm__def,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_field__le__mult__one__interval,axiom, % 165.99/166.15 ! [V_y,V_x,T_a] : % 165.99/166.15 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 165.99/166.15 => ( ! [B_z] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 165.99/166.15 => 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)) ) ) % 165.99/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 165.99/166.15 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 165.99/166.15 ( ( class_Groups_Ocomm__monoid__add(T_b) % 165.99/166.15 & class_Groups_Ocomm__monoid__mult(T_b) ) % 165.99/166.15 => ( V_A_2 = V_B_2 % 165.99/166.15 => ( c_Nat__Transfer_Onat__set(V_B_2) % 165.99/166.15 => ( ! [B_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 165.99/166.15 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 165.99/166.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__pos__lemma,axiom, % 165.99/166.15 ! [V_n_2,V_P_2,V_k_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> ! [B_i,B_j] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zpower__zmod,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mod__trivial,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__diff__cong,axiom, % 165.99/166.15 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 165.99/166.15 => 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) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__diff__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__diff__left__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__diff__right__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__right__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__left__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__mult1,axiom, % 165.99/166.15 ! [V_b,V_a,V_c,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__mult2,axiom, % 165.99/166.15 ! [V_b,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__simps_I4_J,axiom, % 165.99/166.15 ! [V_b,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__cong,axiom, % 165.99/166.15 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 165.99/166.15 => 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) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__self2,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__self1,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__right__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__left__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__eq,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__simps_I2_J,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__simps_I1_J,axiom, % 165.99/166.15 ! [V_b,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__add__cong,axiom, % 165.99/166.15 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 165.99/166.15 => 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) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__self,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__by__0,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__0,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zero,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__self,axiom, % 165.99/166.15 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zmult1__eq,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__simps_I3_J,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiff__zmod__left,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiff__zmod__right,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( c_Nat__Transfer_Ois__nat(V_x) % 165.99/166.15 => ( c_Nat__Transfer_Ois__nat(V_y) % 165.99/166.15 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus2,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__minus__eq,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus__zminus,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zminus__zmod,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__minus__cong,axiom, % 165.99/166.15 ! [V_a_H,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Oring__div(T_a) % 165.99/166.15 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self2__is__0,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self1__is__0,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self2,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self1,axiom, % 165.99/166.15 ! [V_b,V_c,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__by__1,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__div__trivial,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__le__nonneg__dividend,axiom, % 165.99/166.15 ! [V_k,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 165.99/166.15 ! [V_y,V_x] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.15 => 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__mod__bound,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__mod__bound,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__eq__0__iff,axiom, % 165.99/166.15 ! [V_d_2,V_m_2] : % 165.99/166.15 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus2__not__zero,axiom, % 165.99/166.15 ! [V_l,V_k] : % 165.99/166.15 ( 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) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus1__not__zero,axiom, % 165.99/166.15 ! [V_l,V_k] : % 165.99/166.15 ( 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) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_DIVISION__BY__ZERO,axiom, % 165.99/166.15 ! [V_a] : % 165.99/166.15 ( 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) % 165.99/166.15 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zdiv__trivial,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zadd1__eq,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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 ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__div__equality2,axiom, % 165.99/166.15 ! [V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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 ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__div__equality,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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 ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mod__equality2,axiom, % 165.99/166.15 ! [V_c,V_a,V_b,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__mod__equality,axiom, % 165.99/166.15 ! [V_c,V_b,V_a,T_a] : % 165.99/166.15 ( class_Divides_Osemiring__div(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__neg__neg__trivial,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__mod__conj,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( 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))) % 165.99/166.15 & 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))) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_neg__mod__sign,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__pos__pos__trivial,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__mod__conj,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => ( 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))) % 165.99/166.15 & 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_pos__mod__sign,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 165.99/166.15 => 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))) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus2__eq__if,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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) ) % 165.99/166.15 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zminus1__eq__if,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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) ) % 165.99/166.15 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zdiv__equality,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zmult1__eq,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zmod__equality,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zmod__equality2,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmult__div__cancel,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zdiv__equality_H,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__pos__neg__trivial,axiom, % 165.99/166.15 ! [V_b,V_a] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 165.99/166.15 => ( 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))) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_divmod__int__rel__mod__eq,axiom, % 165.99/166.15 ! [V_y,V_q_1,V_b_1,V_a_1] : % 165.99/166.15 ( 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) % 165.99/166.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 165.99/166.15 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmult2__lemma__aux2,axiom, % 165.99/166.15 ! [V_q,V_r,V_b,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmult2__lemma__aux1,axiom, % 165.99/166.15 ! [V_q,V_r,V_b,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmult2__lemma__aux4,axiom, % 165.99/166.15 ! [V_q,V_b,V_r,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmult2__lemma__aux3,axiom, % 165.99/166.15 ! [V_q,V_b,V_r,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 165.99/166.15 => 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))) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__zmod,axiom, % 165.99/166.15 ! [V_k_2,V_n_2,V_P_2] : % 165.99/166.15 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 165.99/166.15 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 165.99/166.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 165.99/166.15 => ! [B_i,B_j] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 165.99/166.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ! [B_i,B_j] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__zmult2__eq,axiom, % 165.99/166.15 ! [V_b,V_a,V_c] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zminus1__eq__if,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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)) ) % 165.99/166.15 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zdiv__zminus2__eq__if,axiom, % 165.99/166.15 ! [V_a,V_b] : % 165.99/166.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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)) ) % 165.99/166.15 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 165.99/166.15 => 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)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_split__neg__lemma,axiom, % 165.99/166.15 ! [V_n_2,V_P_2,V_k_2] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 => ( 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))) % 165.99/166.15 <=> ! [B_i,B_j] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 165.99/166.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 165.99/166.15 & 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) ) % 165.99/166.15 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_z3mod__def,axiom, % 165.99/166.15 ! [V_k,V_l] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 165.99/166.15 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Nitpick_Oint__gcd__def,axiom, % 165.99/166.15 ! [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)))) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__if,axiom, % 165.99/166.15 ! [V_x,T_a] : % 165.99/166.15 ( class_Groups_Osgn__if(T_a) % 165.99/166.15 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 165.99/166.15 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 165.99/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 165.99/166.15 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__neg,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 165.99/166.15 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__less__eq__dividend,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__less,axiom, % 165.99/166.15 ! [V_n,V_m] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__distrib2,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__distrib,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__sgn,axiom, % 165.99/166.15 ! [V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__0__0,axiom, % 165.99/166.15 ! [V_a_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 165.99/166.15 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 165.99/166.15 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn0,axiom, % 165.99/166.15 ! [T_a] : % 165.99/166.15 ( class_Groups_Osgn__if(T_a) % 165.99/166.15 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__times,axiom, % 165.99/166.15 ! [V_b,V_a,T_a] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_a) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__1,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__Suc,axiom, % 165.99/166.15 ! [V_n,V_m] : % 165.99/166.15 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 165.99/166.15 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__less__divisor,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__eq__0__iff,axiom, % 165.99/166.15 ! [V_d_2,V_m_2] : % 165.99/166.15 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__if,axiom, % 165.99/166.15 ! [V_n,V_m] : % 165.99/166.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 165.99/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__geq,axiom, % 165.99/166.15 ! [V_n,V_m] : % 165.99/166.15 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self3,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_le__mod__geq,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 165.99/166.15 => 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) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_zmod__int,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_div__add1__eq,axiom, % 165.99/166.15 ! [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)) ). % 165.99/166.15 % 165.99/166.15 fof(fact_nat__gcd_Osimps,axiom, % 165.99/166.15 ! [V_x,V_y] : % 165.99/166.15 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 165.99/166.15 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 165.99/166.15 => 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)) ) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__le__divisor,axiom, % 165.99/166.15 ! [V_m,V_n] : % 165.99/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 165.99/166.15 => 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)) ) ). % 165.99/166.15 % 165.99/166.15 fof(fact_mod__mult__self4,axiom, % 165.99/166.15 ! [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) ). % 165.99/166.15 % 165.99/166.15 fof(fact_sgn__less,axiom, % 165.99/166.15 ! [V_a_2,T_b] : % 165.99/166.15 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_sgn__greater,axiom, % 166.36/166.15 ! [V_a_2,T_b] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2))) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_mod__mult2__eq,axiom, % 166.36/166.15 ! [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)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_div__mult1__eq,axiom, % 166.36/166.15 ! [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)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Divides_Omod__div__equality_H,axiom, % 166.36/166.15 ! [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)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_mult__div__cancel,axiom, % 166.36/166.15 ! [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)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_div__mod__equality_H,axiom, % 166.36/166.15 ! [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)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_mult__sgn__abs,axiom, % 166.36/166.15 ! [V_x,T_a] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.15 => 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 ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_abs__sgn,axiom, % 166.36/166.15 ! [V_k,T_a] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.15 => 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)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_split__mod,axiom, % 166.36/166.15 ! [V_k_2,V_n_2,V_P_2] : % 166.36/166.15 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 166.36/166.15 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.15 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 166.36/166.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.15 => ! [B_i,B_j] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 166.36/166.15 => ( 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) % 166.36/166.15 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_mod__lemma,axiom, % 166.36/166.15 ! [V_q,V_b,V_r,V_c] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 166.36/166.15 => 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))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Suc__times__mod__eq,axiom, % 166.36/166.15 ! [V_m,V_k] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 166.36/166.15 => 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) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_nat__mod__distrib,axiom, % 166.36/166.15 ! [V_y,V_x] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.36/166.15 => 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)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 166.36/166.15 ! [V_y,V_x] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.36/166.15 => 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)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_sgn__pos,axiom, % 166.36/166.15 ! [V_a,T_a] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.36/166.15 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_sgn__1__pos,axiom, % 166.36/166.15 ! [V_a_2,T_b] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.15 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_zsgn__def,axiom, % 166.36/166.15 ! [V_i] : % 166.36/166.15 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.15 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.15 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 166.36/166.15 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 166.36/166.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 166.36/166.15 => 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)) ) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_sgn__1__neg,axiom, % 166.36/166.15 ! [V_a_2,T_b] : % 166.36/166.15 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.15 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_setprod__pos__nat,axiom, % 166.36/166.15 ! [V_f_2,V_S_2,T_b] : % 166.36/166.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.36/166.15 => ( ! [B_x] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.36/166.15 => 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))) ) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_card__quotient__disjoint,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,T_b] : % 166.36/166.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.15 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 166.36/166.15 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_card_Oneutral,axiom, % 166.36/166.15 ! [V_A_2,T_b] : % 166.36/166.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.15 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.15 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.36/166.15 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_fold__image__cong,axiom, % 166.36/166.15 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 166.36/166.15 ( class_Groups_Oab__semigroup__mult(T_c) % 166.36/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.15 => ( ! [B_x] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.15 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 166.36/166.15 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotient__empty,axiom, % 166.36/166.15 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotient__is__empty2,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,T_b] : % 166.36/166.15 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) % 166.36/166.15 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotient__is__empty,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,T_b] : % 166.36/166.15 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 166.36/166.15 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotient__diff1,axiom, % 166.36/166.15 ! [V_a_2,V_A_2,V_r_2,T_b] : % 166.36/166.15 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.15 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotient__def,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ). % 166.36/166.15 % 166.36/166.15 fof(fact_singleton__quotient,axiom, % 166.36/166.15 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotientI,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,V_x_2,T_b] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_nat__mod__eq__lemma,axiom, % 166.36/166.15 ! [V_y,V_n,V_x] : % 166.36/166.15 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 166.36/166.15 => ? [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)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__eq__UN,axiom, % 166.36/166.15 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__Int__subset,axiom, % 166.36/166.15 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__UN,axiom, % 166.36/166.15 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_quotientE,axiom, % 166.36/166.15 ! [V_r_2,V_A_2,V_X_2,T_b] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.15 => ~ ! [B_x] : % 166.36/166.15 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.15 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__empty,axiom, % 166.36/166.15 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__mono,axiom, % 166.36/166.15 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Un__Image,axiom, % 166.36/166.15 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Image__Un,axiom, % 166.36/166.15 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ). % 166.36/166.15 % 166.36/166.15 fof(fact_mod__induct__0,axiom, % 166.36/166.15 ! [V_i_2,V_P_2,V_p_2] : % 166.36/166.15 ( ! [B_i] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 166.36/166.15 => ( hBOOL(hAPP(V_P_2,B_i)) % 166.36/166.15 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 166.36/166.15 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 166.36/166.15 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Max__eqI,axiom, % 166.36/166.15 ! [V_x_2,V_A_2,T_b] : % 166.36/166.15 ( class_Orderings_Olinorder(T_b) % 166.36/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.15 => ( ! [B_y] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.15 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_Min__eqI,axiom, % 166.36/166.15 ! [V_x_2,V_A_2,T_b] : % 166.36/166.15 ( class_Orderings_Olinorder(T_b) % 166.36/166.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.15 => ( ! [B_y] : % 166.36/166.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.15 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_expand__Suc,axiom, % 166.36/166.15 ! [V_v] : % 166.36/166.15 ( 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))) % 166.36/166.15 => 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))) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_number__of__eq,axiom, % 166.36/166.15 ! [V_k,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_of__int__number__of__eq,axiom, % 166.36/166.15 ! [V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => 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) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_less__by__empty,axiom, % 166.36/166.15 ! [V_B_2,T_b,V_A_2] : % 166.36/166.15 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_number__of__reorient,axiom, % 166.36/166.15 ! [V_x_2,V_w_2,T_b] : % 166.36/166.15 ( class_Int_Onumber(T_b) % 166.36/166.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 166.36/166.15 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_eq__number__of,axiom, % 166.36/166.15 ! [V_y_2,V_x_2,T_b] : % 166.36/166.15 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.15 & class_Int_Oring__char__0(T_b) ) % 166.36/166.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.36/166.15 <=> V_x_2 = V_y_2 ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_of__nat__number__of__eq,axiom, % 166.36/166.15 ! [V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.15 => 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) ) % 166.36/166.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.15 => 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) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_of__nat__number__of__lemma,axiom, % 166.36/166.15 ! [V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => ( ( 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))) % 166.36/166.15 => 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) ) % 166.36/166.15 & ( ~ 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))) % 166.36/166.15 => 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) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_le__number__of__eq__not__less,axiom, % 166.36/166.15 ! [V_w_2,V_v_2,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Orderings_Olinorder(T_b) ) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_left__distrib__number__of,axiom, % 166.36/166.15 ! [V_v,V_b,V_a,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Rings_Osemiring(T_b) ) % 166.36/166.15 => 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))) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_right__distrib__number__of,axiom, % 166.36/166.15 ! [V_c,V_b,V_v,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Rings_Osemiring(T_b) ) % 166.36/166.15 => 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)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_left__diff__distrib__number__of,axiom, % 166.36/166.15 ! [V_v,V_b,V_a,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Rings_Oring(T_b) ) % 166.36/166.15 => 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))) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_right__diff__distrib__number__of,axiom, % 166.36/166.15 ! [V_c,V_b,V_v,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Rings_Oring(T_b) ) % 166.36/166.15 => 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)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_le__number__of,axiom, % 166.36/166.15 ! [V_y_2,V_x_2,T_b] : % 166.36/166.15 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.15 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_less__number__of,axiom, % 166.36/166.15 ! [V_y_2,V_x_2,T_b] : % 166.36/166.15 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.15 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_min__number__of,axiom, % 166.36/166.15 ! [V_v,V_u,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Orderings_Oord(T_b) ) % 166.36/166.15 => ( ( 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))) % 166.36/166.15 => 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) ) % 166.36/166.15 & ( ~ 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))) % 166.36/166.15 => 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) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_max__number__of,axiom, % 166.36/166.15 ! [V_v,V_u,T_b] : % 166.36/166.15 ( ( class_Int_Onumber(T_b) % 166.36/166.15 & class_Orderings_Oord(T_b) ) % 166.36/166.15 => ( ( 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))) % 166.36/166.15 => 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) ) % 166.36/166.15 & ( ~ 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))) % 166.36/166.15 => 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) ) ) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_number__of__add,axiom, % 166.36/166.15 ! [V_w,V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => 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)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_add__number__of__eq,axiom, % 166.36/166.15 ! [V_w,V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.15 => 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)) ) ). % 166.36/166.15 % 166.36/166.15 fof(fact_add__number__of__left,axiom, % 166.36/166.15 ! [V_z,V_w,V_v,T_a] : % 166.36/166.15 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__mult,axiom, % 166.36/166.16 ! [V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_arith__simps_I32_J,axiom, % 166.36/166.16 ! [V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__number__of__left,axiom, % 166.36/166.16 ! [V_z,V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__diff,axiom, % 166.36/166.16 ! [V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_arith__simps_I30_J,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__minus,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Ints__number__of,axiom, % 166.36/166.16 ! [V_w_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__eq__eq__number__of1,axiom, % 166.36/166.16 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2 % 166.36/166.16 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) % 166.36/166.16 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__eq__eq__number__of,axiom, % 166.36/166.16 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 166.36/166.16 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) ) % 166.36/166.16 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__divide__eq__number__of,axiom, % 166.36/166.16 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 166.36/166.16 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 ) % 166.36/166.16 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__divide__eq__number__of1,axiom, % 166.36/166.16 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) % 166.36/166.16 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 ) % 166.36/166.16 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__number__of__diff1,axiom, % 166.36/166.16 ! [V_c,V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__number__of__mult,axiom, % 166.36/166.16 ! [V_z,V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__number__of__eq,axiom, % 166.36/166.16 ! [V_w,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__less__eq__number__of1,axiom, % 166.36/166.16 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__less__eq__number__of,axiom, % 166.36/166.16 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__divide__eq__number__of,axiom, % 166.36/166.16 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__divide__eq__number__of1,axiom, % 166.36/166.16 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_abs__number__of,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_a) % 166.36/166.16 & class_Rings_Olinordered__idom(T_a) ) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__number__of__diff2,axiom, % 166.36/166.16 ! [V_w,V_c,V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__le__eq__number__of1,axiom, % 166.36/166.16 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__le__eq__number__of,axiom, % 166.36/166.16 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__divide__eq__number__of,axiom, % 166.36/166.16 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__divide__eq__number__of1,axiom, % 166.36/166.16 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__mod__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__div__nat__number__of,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__number__of__odd__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_w_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__nat__number__of__number__of,axiom, % 166.36/166.16 ! [V_w,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__numeral__code_I5_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__number__of__int__code,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I34_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__eq__int__code_I16_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__is__id,axiom, % 166.36/166.16 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__eq__number__of__int__code,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__number__of__Bit1,axiom, % 166.36/166.16 ! [V_w_2] : % 166.36/166.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 166.36/166.16 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_times__numeral__code_I5_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_plus__numeral__code_I9_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I51_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 166.36/166.16 <=> V_k_2 = V_l_2 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__int__code_I16_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I17_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__number__of__def,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_bin__less__0__simps_I4_J,axiom, % 166.36/166.16 ! [V_w_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Bit1__def,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__def,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__Bit1,axiom, % 166.36/166.16 ! [V_w_2] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 166.36/166.16 => 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)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__Bit1,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__number__of__odd,axiom, % 166.36/166.16 ! [V_z_2,V_w_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zpower__number__of__odd,axiom, % 166.36/166.16 ! [V_z_2,V_w_2] : % 166.36/166.16 ( ( 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))) % 166.36/166.16 => 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))) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__numeral__code_I6_J,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__imp__number__of__eq__0,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__eq__iff__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_m_2] : % 166.36/166.16 ( 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) % 166.36/166.16 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 166.36/166.16 & 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H_2,V_v_2] : % 166.36/166.16 ( 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) % 166.36/166.16 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 166.36/166.16 => 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))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 166.36/166.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 166.36/166.16 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__add__left,axiom, % 166.36/166.16 ! [V_k,V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__nat__number__of,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mod__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.36/166.16 => 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))) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__nat__number__of,axiom, % 166.36/166.16 ! [V_n,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__nat__number__of__add,axiom, % 166.36/166.16 ! [V_n,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__nat__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_v_H_2] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_min__number__of__Suc,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_min__Suc__number__of,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I46_J,axiom, % 166.36/166.16 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I39_J,axiom, % 166.36/166.16 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__Pls,axiom, % 166.36/166.16 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__Pls,axiom, % 166.36/166.16 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__pred,axiom, % 166.36/166.16 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__Pls,axiom, % 166.36/166.16 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Pls,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Pls__right,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I2_J,axiom, % 166.36/166.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Pls__def,axiom, % 166.36/166.16 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I1_J,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I19_J,axiom, % 166.36/166.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__Pls,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_semiring__norm_I112_J,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__numeral__0__right,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__numeral__0,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_bin__less__0__simps_I1_J,axiom, % 166.36/166.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_semiring__norm_I113_J,axiom, % 166.36/166.16 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__Pls,axiom, % 166.36/166.16 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__is__num__zero,axiom, % 166.36/166.16 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I22_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I12_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__diff__number__of,axiom, % 166.36/166.16 ! [V_m,V_v] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_not__neg__number__of__Pls,axiom, % 166.36/166.16 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__1__add__number__of,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__add__1,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__iff__pred__less,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__Bit1,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__def,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__diff__1,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__numeral__1__right,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__numeral__1,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__Numeral0,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_semiring__norm_I110_J,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_numeral__1__eq__1,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__0__number__of,axiom, % 166.36/166.16 ! [V_v_2] : % 166.36/166.16 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__number__of__0,axiom, % 166.36/166.16 ! [V_v_2] : % 166.36/166.16 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of2,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I5_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I29_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H_2,V_v_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 166.36/166.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__numeral__1,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( ( class_Fields_Ofield(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__Numeral1,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( ( class_Fields_Ofield(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => 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 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H_2,V_v_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__is__num__one,axiom, % 166.36/166.16 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Numeral1__eq1__nat,axiom, % 166.36/166.16 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__numeral__1__eq__1,axiom, % 166.36/166.16 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 166.36/166.16 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__def,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__special_I1_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__special_I3_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__special_I1_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__special_I3_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__0__number__of,axiom, % 166.36/166.16 ! [V_v_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_numeral__1__eq__Suc__0,axiom, % 166.36/166.16 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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_numeral__3__eq__3,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power3__eq__cube,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Groups_Omonoid__mult(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 166.36/166.16 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))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc3__eq__add__3,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__succ,axiom, % 166.36/166.16 ! [V_k,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__pred,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__special_I4_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__special_I2_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__special_I4_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__special_I2_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Rings_Olinordered__idom(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__special_I3_J,axiom, % 166.36/166.16 ! [V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__special_I2_J,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__diff__eq__diff__pred,axiom, % 166.36/166.16 ! [V_m,V_n] : % 166.36/166.16 ( 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)) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__nat__number__of,axiom, % 166.36/166.16 ! [V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__mult__left,axiom, % 166.36/166.16 ! [V_k,V_v_H,V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.36/166.16 => 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) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__number__of__pred__iff__0,axiom, % 166.36/166.16 ! [V_v_2] : % 166.36/166.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 166.36/166.16 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__mod__eq__add3__mod,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mod__Suc__eq__mod__add3,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__div__eq__add3__div,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__Suc__eq__div__add3,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__special_I2_J,axiom, % 166.36/166.16 ! [V_v,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__special_I1_J,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__number__of__Suc,axiom, % 166.36/166.16 ! [V_n_2,V_v_2] : % 166.36/166.16 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 166.36/166.16 <=> 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__eq__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_n_2] : % 166.36/166.16 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 166.36/166.16 <=> 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__case__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__number__of__Suc,axiom, % 166.36/166.16 ! [V_n_2,V_v_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__Suc__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_n_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__Suc__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_n_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_le__number__of__Suc,axiom, % 166.36/166.16 ! [V_n_2,V_v_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__nat__number__of,axiom, % 166.36/166.16 ! [V_v] : % 166.36/166.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_max__number__of__Suc,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_max__Suc__number__of,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__case__add__eq__if,axiom, % 166.36/166.16 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__rec__add__eq__if,axiom, % 166.36/166.16 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__special_I4_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__special_I2_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__rec__number__of,axiom, % 166.36/166.16 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_iszero__0,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_a) % 166.36/166.16 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_iszero__def,axiom, % 166.36/166.16 ! [V_z_2,T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => ( c_Int_Oiszero(T_b,V_z_2) % 166.36/166.16 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_not__iszero__1,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_a) % 166.36/166.16 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__rec__0,axiom, % 166.36/166.16 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__rec__Suc,axiom, % 166.36/166.16 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_iszero__Numeral0,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_iszero__number__of__Bit1,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_a) % 166.36/166.16 & class_Int_Oring__char__0(T_a) ) % 166.36/166.16 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_not__iszero__Numeral1,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__number__of__eq,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__special_I1_J,axiom, % 166.36/166.16 ! [V_y_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__special_I3_J,axiom, % 166.36/166.16 ! [V_x_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__zmod__mult__2,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmod__number__of__Bit1,axiom, % 166.36/166.16 ! [V_v,V_w] : % 166.36/166.16 ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_arith__series__int,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pos__zdiv__mult__2,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I50_J,axiom, % 166.36/166.16 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I49_J,axiom, % 166.36/166.16 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__Bit0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I14_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__int__code_I13_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Bit0__def,axiom, % 166.36/166.16 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Bit0__Bit0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__Bit0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I48_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 166.36/166.16 <=> V_k_2 = V_l_2 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I7_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__eq__int__code_I13_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I31_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I44_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 166.36/166.16 <=> V_k_2 = c_Int_OPls ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I38_J,axiom, % 166.36/166.16 ! [V_l_2] : % 166.36/166.16 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 166.36/166.16 <=> c_Int_OPls = V_l_2 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Bit0__Pls,axiom, % 166.36/166.16 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_bin__less__0__simps_I3_J,axiom, % 166.36/166.16 ! [V_w_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I21_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I27_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I32_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__eq__int__code_I14_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I10_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I4_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__int__code_I15_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I16_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Bit0__Bit1,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Bit1__Bit0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I3_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I9_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I10_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zdiv__number__of__Bit0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__number__of__Bit0,axiom, % 166.36/166.16 ! [V_w_2] : % 166.36/166.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 166.36/166.16 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__Bit0,axiom, % 166.36/166.16 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__Bit1,axiom, % 166.36/166.16 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_iszero__number__of__Bit0,axiom, % 166.36/166.16 ! [V_w_2,T_b] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_b) % 166.36/166.16 & class_Int_Oring__char__0(T_b) ) % 166.36/166.16 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 166.36/166.16 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__Bit1,axiom, % 166.36/166.16 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__Bit0,axiom, % 166.36/166.16 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__number__of__Bit0,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__Bit0,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I15_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__int__code_I14_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I33_J,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__eq__int__code_I15_J,axiom, % 166.36/166.16 ! [V_k2_2,V_k1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_card__UNIV__bool,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__Bit1,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I8_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Bit1__Bit1,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__number__of__even,axiom, % 166.36/166.16 ! [V_w_2,V_z_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zpower__number__of__even,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_double__number__of__Bit0,axiom, % 166.36/166.16 ! [V_w,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of1,axiom, % 166.36/166.16 ! [V_n] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( 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)))) % 166.36/166.16 & 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)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 166.36/166.16 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__number__of__even__number__of,axiom, % 166.36/166.16 ! [V_w_2,V_v_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__2,axiom, % 166.36/166.16 ! [V_z,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__2__right,axiom, % 166.36/166.16 ! [V_z,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__add__one__is__two,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__power2,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__eq__power2,axiom, % 166.36/166.16 ! [V_a_2,T_b] : % 166.36/166.16 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 166.36/166.16 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_numeral__2__eq__2,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_semiring__norm_I115_J,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__eq__square,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Groups_Omonoid__mult(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( class_Rings_Ocomm__semiring__1(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 166.36/166.16 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))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__2__eq__Suc,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__2__eq__Suc_H,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__power2,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__minus,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Rings_Oring__1(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__mult__2__right,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__mult__2,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__even__eq,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Groups_Omonoid__mult(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__abs,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_abs__power2,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__1__add__1,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mod2__Suc__Suc,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div2__Suc__Suc,axiom, % 166.36/166.16 ! [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))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmod__number__of__Bit0,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__self__div__2,axiom, % 166.36/166.16 ! [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 ). % 166.36/166.16 % 166.36/166.16 fof(fact_half__gt__zero,axiom, % 166.36/166.16 ! [V_r,T_a] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 166.36/166.16 => 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)))))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_half__gt__zero__iff,axiom, % 166.36/166.16 ! [V_r_2,T_b] : % 166.36/166.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.36/166.16 & class_Int_Onumber__ring(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__eq__imp__eq,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__semidom(T_a) % 166.36/166.16 => ( 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)))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.36/166.16 => V_x = V_y ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__le__imp__le,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__semidom(T_a) % 166.36/166.16 => ( 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)))))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__le__power2,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => 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)))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__less__0,axiom, % 166.36/166.16 ! [V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => ~ 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__less__power2,axiom, % 166.36/166.16 ! [V_a_2,T_b] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 166.36/166.16 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sum__power2__eq__zero__iff,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_b] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.16 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__eq__square__number__of,axiom, % 166.36/166.16 ! [V_w,T_b] : % 166.36/166.16 ( ( class_Groups_Omonoid__mult(T_b) % 166.36/166.16 & class_Int_Onumber(T_b) ) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_less__2__cases,axiom, % 166.36/166.16 ! [V_n] : % 166.36/166.16 ( 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))))) % 166.36/166.16 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.16 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__2,axiom, % 166.36/166.16 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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__eq__1__iff,axiom, % 166.36/166.16 ! [V_a_2,T_b] : % 166.36/166.16 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 166.36/166.16 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b) % 166.36/166.16 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 166.36/166.16 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 166.36/166.16 ! [V_n,V_x,T_a] : % 166.36/166.16 ( class_Rings_Ocomm__semiring__1(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__minus__even,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Rings_Oring__1(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__less__imp__less,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__semidom(T_a) % 166.36/166.16 => ( 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)))))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sum__power2__ge__zero,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => 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))))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sum__power2__le__zero__iff,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_b] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b))) % 166.36/166.16 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sum__power2__gt__zero__iff,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_b] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 166.36/166.16 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.36/166.16 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_not__sum__power2__lt__zero,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => ~ 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__sum,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__le__even__power_H,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 166.36/166.16 ! [V_n,V_x,T_a] : % 166.36/166.16 ( class_Rings_Ocomm__semiring__1(T_a) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__odd__eq,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Groups_Omonoid__mult(T_a) % 166.36/166.16 => 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__minus1__even,axiom, % 166.36/166.16 ! [V_n,T_a] : % 166.36/166.16 ( class_Rings_Oring__1(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zdiv__number__of__Bit1,axiom, % 166.36/166.16 ! [V_v,V_w] : % 166.36/166.16 ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mod2__gr__0,axiom, % 166.36/166.16 ! [V_m_2] : % 166.36/166.16 ( 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)))))) % 166.36/166.16 <=> 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__2__gt__zero,axiom, % 166.36/166.16 ! [V_n] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 166.36/166.16 => 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)))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power2__diff,axiom, % 166.36/166.16 ! [V_y,V_x,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_odd__0__le__power__imp__0__le,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => ( 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))))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_odd__power__less__zero,axiom, % 166.36/166.16 ! [V_n,V_a,T_a] : % 166.36/166.16 ( class_Rings_Olinordered__idom(T_a) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__minus1__odd,axiom, % 166.36/166.16 ! [V_n,T_a] : % 166.36/166.16 ( class_Rings_Oring__1(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Suc__n__div__2__gt__zero,axiom, % 166.36/166.16 ! [V_n] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.36/166.16 => 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)))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_of__nat__double,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_a) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pos__zmod__mult__2,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => 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))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__zdiv__mult__2,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__of__code,axiom, % 166.36/166.16 ! [V_k] : % 166.36/166.16 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.16 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.16 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.16 => ( ( 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) % 166.36/166.16 => 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)))))) ) % 166.36/166.16 & ( 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) % 166.36/166.16 => 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)) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_of__int__num,axiom, % 166.36/166.16 ! [V_k_2,T_b] : % 166.36/166.16 ( class_Rings_Oring__1(T_b) % 166.36/166.16 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 166.36/166.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__m1__odd,axiom, % 166.36/166.16 ! [V_n,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_power__m1__even,axiom, % 166.36/166.16 ! [V_n,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I42_J,axiom, % 166.36/166.16 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I45_J,axiom, % 166.36/166.16 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I40_J,axiom, % 166.36/166.16 c_Int_OMin != c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I37_J,axiom, % 166.36/166.16 c_Int_OPls != c_Int_OMin ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I24_J,axiom, % 166.36/166.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_code__numeral__zero__minus__one,axiom, % 166.36/166.16 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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I7_J,axiom, % 166.36/166.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Bit1__Min,axiom, % 166.36/166.16 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I43_J,axiom, % 166.36/166.16 ! [V_l_2] : % 166.36/166.16 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 166.36/166.16 <=> c_Int_OMin = V_l_2 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I47_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 166.36/166.16 <=> V_k_2 = c_Int_OMin ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_bin__less__0__simps_I2_J,axiom, % 166.36/166.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I20_J,axiom, % 166.36/166.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I23_J,axiom, % 166.36/166.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I30_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I26_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I6_J,axiom, % 166.36/166.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I3_J,axiom, % 166.36/166.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I9_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I13_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I28_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I8_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_eq__number__of__Pls__Min,axiom, % 166.36/166.16 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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Int_OMin__def,axiom, % 166.36/166.16 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__Min,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_neg__number__of__Min,axiom, % 166.36/166.16 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__Pls,axiom, % 166.36/166.16 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Min__right,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_add__Min,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__Min,axiom, % 166.36/166.16 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nonzero__number__of__Min,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_succ__Min,axiom, % 166.36/166.16 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I2_J,axiom, % 166.36/166.16 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__minus1,axiom, % 166.36/166.16 ! [V_z,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mult__minus1__right,axiom, % 166.36/166.16 ! [V_z,T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_arith__simps_I31_J,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_number__of__Min,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_abs__minus__one,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_a) % 166.36/166.16 & class_Rings_Olinordered__idom(T_a) ) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divide__minus1,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I11_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rel__simps_I25_J,axiom, % 166.36/166.16 ! [V_k_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmod__minus1__right,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I4_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus__Min,axiom, % 166.36/166.16 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmult__eq__1__iff,axiom, % 166.36/166.16 ! [V_n_2,V_m_2] : % 166.36/166.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.36/166.16 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.36/166.16 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 166.36/166.16 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 166.36/166.16 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 166.36/166.16 ! [V_n,V_m] : % 166.36/166.16 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.36/166.16 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.36/166.16 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I5_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_diff__bin__simps_I6_J,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_of__int__m1,axiom, % 166.36/166.16 ! [T_a] : % 166.36/166.16 ( class_Int_Onumber__ring(T_a) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zdiv__minus1__right,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zero__code__numeral__code,axiom, % 166.36/166.16 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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_minus1__divide,axiom, % 166.36/166.16 ! [V_x,T_a] : % 166.36/166.16 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.36/166.16 & class_Int_Onumber__ring(T_a) ) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_abs__power__minus__one,axiom, % 166.36/166.16 ! [V_n,T_a] : % 166.36/166.16 ( ( class_Int_Onumber__ring(T_a) % 166.36/166.16 & class_Rings_Olinordered__idom(T_a) ) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__eq__minus1,axiom, % 166.36/166.16 ! [V_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__pos__neg__trivial,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => ( 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))) % 166.36/166.16 => 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) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmod__minus1,axiom, % 166.36/166.16 ! [V_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => 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)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_one__code__numeral__code,axiom, % 166.36/166.16 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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nitpick_OFrac__def,axiom, % 166.36/166.16 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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__ge__less__than2__def,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_int__ge__less__than__def,axiom, % 166.36/166.16 ! [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)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inj__graph,axiom, % 166.36/166.16 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nitpick_Oprod__def,axiom, % 166.36/166.16 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_nat__of__aux__code,axiom, % 166.36/166.16 ! [V_n,V_i] : % 166.36/166.16 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.16 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 166.36/166.16 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__def,axiom, % 166.36/166.16 ! [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))))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__correct,axiom, % 166.36/166.16 ! [V_a,V_b] : % 166.36/166.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmult2__lemma,axiom, % 166.36/166.16 ! [V_c,V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_code__numeral_Osize_I1_J,axiom, % 166.36/166.16 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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nats__number__of,axiom, % 166.36/166.16 ! [V_w_2,T_b] : % 166.36/166.16 ( class_Int_Onumber__ring(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__subset__eq2,axiom, % 166.36/166.16 ! [V_S_2,V_R_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inf__Int__eq2,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pred__equals__eq2,axiom, % 166.36/166.16 ! [V_S_2,V_R_2,T_c,T_b] : % 166.36/166.16 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2) % 166.36/166.16 <=> V_R_2 = V_S_2 ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sup__Un__eq2,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_bot__empty__eq2,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_enum__all__prod__def,axiom, % 166.36/166.16 ! [V_P_2,T_b,T_c] : % 166.36/166.16 ( ( class_Enum_Oenum(T_c) % 166.36/166.16 & class_Enum_Oenum(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2)) % 166.36/166.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_enum__ex__prod__def,axiom, % 166.36/166.16 ! [V_P_2,T_b,T_c] : % 166.36/166.16 ( ( class_Enum_Oenum(T_c) % 166.36/166.16 & class_Enum_Oenum(T_b) ) % 166.36/166.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2)) % 166.36/166.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Image__iff,axiom, % 166.36/166.16 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 166.36/166.16 <=> ? [B_x] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.16 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rev__ImageI,axiom, % 166.36/166.16 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__0,axiom, % 166.36/166.16 ! [V_b] : % 166.36/166.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_self__remainder,axiom, % 166.36/166.16 ! [V_r,V_q,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_unique__quotient,axiom, % 166.36/166.16 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( 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))) % 166.36/166.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => V_q = V_q_H ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_unique__remainder,axiom, % 166.36/166.16 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( 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))) % 166.36/166.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => V_r = V_r_H ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_SUP__UN__eq2,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_self__quotient,axiom, % 166.36/166.16 ! [V_r,V_q,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__mod,axiom, % 166.36/166.16 ! [V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__div,axiom, % 166.36/166.16 ! [V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nats__0,axiom, % 166.36/166.16 ! [T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__mod__div,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nats__add,axiom, % 166.36/166.16 ! [V_b_2,V_a_2,T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nats__mult,axiom, % 166.36/166.16 ! [V_b_2,V_a_2,T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nats__1,axiom, % 166.36/166.16 ! [T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_of__nat__in__Nats,axiom, % 166.36/166.16 ! [V_n_2,T_b] : % 166.36/166.16 ( class_Rings_Osemiring__1(T_b) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Image__singleton__iff,axiom, % 166.36/166.16 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__div__mod,axiom, % 166.36/166.16 ! [V_a,V_b] : % 166.36/166.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Image__singleton,axiom, % 166.36/166.16 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zadd1__lemma,axiom, % 166.36/166.16 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( 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))) % 166.36/166.16 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zminus1__lemma,axiom, % 166.36/166.16 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 => 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))))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__relI,axiom, % 166.36/166.16 ! [V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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) % 166.36/166.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.36/166.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 166.36/166.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_zmult1__lemma,axiom, % 166.36/166.16 ! [V_a,V_r,V_q,V_c,V_b] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pair__imageI,axiom, % 166.36/166.16 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_norm__frac_Osimps,axiom, % 166.36/166.16 ! [V_a_2,V_b_2] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.16 => 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))) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_adjust__eq,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sup2E,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 166.36/166.16 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sup2CI,axiom, % 166.36/166.16 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 166.36/166.16 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 166.36/166.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inf2E,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 166.36/166.16 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.36/166.16 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inf2I,axiom, % 166.36/166.16 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mem__splitI,axiom, % 166.36/166.16 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_prod__caseI,axiom, % 166.36/166.16 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_splitI,axiom, % 166.36/166.16 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_bot2E,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_splitD_H,axiom, % 166.36/166.16 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_swap__inj__on,axiom, % 166.36/166.16 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ). % 166.36/166.16 % 166.36/166.16 fof(fact_predicate2D,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_rev__predicate2D,axiom, % 166.36/166.16 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sup2I1,axiom, % 166.36/166.16 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_sup2I2,axiom, % 166.36/166.16 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inf2D2,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_inf2D1,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__paired__All,axiom, % 166.36/166.16 ! [T_c,T_b,V_P_2] : % 166.36/166.16 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 166.36/166.16 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Pair__eq,axiom, % 166.36/166.16 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.16 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2) % 166.36/166.16 <=> ( V_a_2 = V_a_H_2 % 166.36/166.16 & V_b_2 = V_b_H_2 ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Pair__inject,axiom, % 166.36/166.16 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 166.36/166.16 ( 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) % 166.36/166.16 => ~ ( V_a = V_a_H % 166.36/166.16 => V_b != V_b_H ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__weak__cong,axiom, % 166.36/166.16 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 166.36/166.16 ( V_p_2 = V_q_2 % 166.36/166.16 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__twice,axiom, % 166.36/166.16 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ). % 166.36/166.16 % 166.36/166.16 fof(fact_prod_Osimps_I2_J,axiom, % 166.36/166.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__conv,axiom, % 166.36/166.16 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ). % 166.36/166.16 % 166.36/166.16 fof(fact_splitD,axiom, % 166.36/166.16 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 166.36/166.16 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__eta,axiom, % 166.36/166.16 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ). % 166.36/166.16 % 166.36/166.16 fof(fact_split__paired__The,axiom, % 166.36/166.16 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_The__split__eq,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 166.36/166.16 % 166.36/166.16 fof(fact_adjust__def,axiom, % 166.36/166.16 ! [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))))))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_in__rel__def,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 166.36/166.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_div__mod__code__numeral__def,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 166.36/166.16 ! [V_w] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( ( 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)))) % 166.36/166.16 => 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))) ) % 166.36/166.16 & ( ~ 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)))) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__correct,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__div__mod,axiom, % 166.36/166.16 ! [V_l,V_k] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__minus1,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg_Osimps,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( ( ( 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))) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ ( 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))) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__eqn__number__of,axiom, % 166.36/166.16 ! [V_w,V_v] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( ( 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)))) % 166.36/166.16 => 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))) ) % 166.36/166.16 & ( ~ 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)))) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg__eqn,axiom, % 166.36/166.16 ! [V_a,V_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_Nitpick_Orefl_H__def,axiom, % 166.36/166.16 ! [V_r_2,T_b] : % 166.36/166.16 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 166.36/166.16 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 166.36/166.16 ! [V_w] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg_Osimps,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__0,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__correct,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__div__mod,axiom, % 166.36/166.16 ! [V_l,V_k] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__eqn,axiom, % 166.36/166.16 ! [V_a,V_b] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.36/166.16 => 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))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_posDivAlg__eqn__number__of,axiom, % 166.36/166.16 ! [V_w,V_v] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( ( 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))) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ 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))) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__def,axiom, % 166.36/166.16 ! [V_b,V_a] : % 166.36/166.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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))) ) ) ) ) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 166.36/166.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.16 => 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))) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__step,axiom, % 166.36/166.16 ! [V_m,V_n] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__pdivmod,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negateSnd__def,axiom, % 166.36/166.16 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_apsnd__conv,axiom, % 166.36/166.16 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__zero,axiom, % 166.36/166.16 ! [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) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__base,axiom, % 166.36/166.16 ! [V_n,V_m] : % 166.36/166.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.36/166.16 => 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) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negateSnd__eq,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__div__mod,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__rel__neg,axiom, % 166.36/166.16 ! [V_qr,V_b,V_a] : % 166.36/166.16 ( 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)) % 166.36/166.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__if,axiom, % 166.36/166.16 ! [V_m_2,V_n_2] : % 166.36/166.16 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pdivmod__def,axiom, % 166.36/166.16 ! [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))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_pdivmod__posDivAlg,axiom, % 166.36/166.16 ! [V_k,V_l] : % 166.36/166.16 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__int__code,axiom, % 166.36/166.16 ! [V_l_2,V_k_2] : % 166.36/166.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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) ) % 166.36/166.16 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.16 => 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)))) ) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 166.36/166.16 ! [V_c,V_r,V_q,V_b,V_a] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.36/166.16 => 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)))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 166.36/166.16 ! [V_a,V_r,V_q,V_c,V_b] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.36/166.16 => 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)))) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_negDivAlg_Opsimps,axiom, % 166.36/166.16 ! [V_b_2,V_a_2] : % 166.36/166.16 ( 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))) % 166.36/166.16 => ( ( ( 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))) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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)) ) % 166.36/166.16 & ( ~ ( 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))) % 166.36/166.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.16 => 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))) ) ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__rel__unique,axiom, % 166.36/166.16 ! [V_qr_H,V_qr,V_n,V_m] : % 166.36/166.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 166.36/166.16 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 166.36/166.16 => V_qr = V_qr_H ) ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__eq,axiom, % 166.36/166.16 ! [V_qr,V_n,V_m] : % 166.36/166.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 166.36/166.16 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 166.36/166.16 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 166.36/166.16 % 166.36/166.16 fof(fact_divmod__nat__def,axiom, % 166.36/166.16 ! [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)) ). % 166.36/166.16 % 166.36/166.16 fof(fact_mod__eq,axiom, % 166.36/166.16 ! [V_r,V_q,V_n,V_m] : % 166.36/166.17 ( 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))) % 166.36/166.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__eq,axiom, % 166.36/166.17 ! [V_r,V_q,V_n,V_m] : % 166.36/166.17 ( 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))) % 166.36/166.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_divmod__nat__rel,axiom, % 166.36/166.17 ! [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)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_divmod__nat__rel__add1__eq,axiom, % 166.36/166.17 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( 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))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.36/166.17 => 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)))) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_posDivAlg_Opsimps,axiom, % 166.36/166.17 ! [V_b_2,V_a_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 166.36/166.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.17 => 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) ) % 166.36/166.17 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 166.36/166.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.17 => 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))) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_norm__frac_Opsimps,axiom, % 166.36/166.17 ! [V_b_2,V_a_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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)) ) % 166.36/166.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.17 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.17 => 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)) ) % 166.36/166.17 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.36/166.17 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.36/166.17 => 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))) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_negDivAlg_Opinduct,axiom, % 166.36/166.17 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ! [B_a,B_b] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( ~ ( 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))) % 166.36/166.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.17 => 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))) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_posDivAlg_Opinduct,axiom, % 166.36/166.17 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ! [B_a,B_b] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 166.36/166.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.36/166.17 => 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))) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp__subset,axiom, % 166.36/166.17 ! [V_R2_2,V_R1_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__pos__neg__1__number__of,axiom, % 166.36/166.17 ! [V_w] : % 166.36/166.17 ( 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))) % 166.36/166.17 => 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))))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__conv,axiom, % 166.36/166.17 ! [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 ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__eqD,axiom, % 166.36/166.17 ! [V_a,V_y,V_x,T_a,T_b] : % 166.36/166.17 ( 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 % 166.36/166.17 => V_y = V_a ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__def,axiom, % 166.36/166.17 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__eq__conv,axiom, % 166.36/166.17 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 166.36/166.17 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2) % 166.36/166.17 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__apsnd,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__int__def,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp_Osimps,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 166.36/166.17 <=> ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 166.36/166.17 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp_Oequations,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 166.36/166.17 <=> ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 166.36/166.17 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp__downward,axiom, % 166.36/166.17 ! [V_a_2,V_b_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.36/166.17 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__neg__pos,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__pos__pos,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__pos__pos__1__number__of,axiom, % 166.36/166.17 ! [V_w] : % 166.36/166.17 ( 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))) % 166.36/166.17 => 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))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__pos__neg,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__neg__neg,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat__gcd_Opsimps,axiom, % 166.36/166.17 ! [V_y_2,V_x_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.17 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 166.36/166.17 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.17 => 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)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat_Osize_I2_J,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_in__measure,axiom, % 166.36/166.17 ! [V_f_2,V_y_2,V_x_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 166.36/166.17 <=> 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))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mod__nat__def,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat_Osize_I1_J,axiom, % 166.36/166.17 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.17 % 166.36/166.17 fof(fact_irrefl__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Relation_Oirrefl(T_b,V_r_2) % 166.36/166.17 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_norm__frac_Opinduct,axiom, % 166.36/166.17 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ! [B_a,B_b] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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))) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__pos__neg__1__number__of,axiom, % 166.36/166.17 ! [V_w] : % 166.36/166.17 ( 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))) % 166.36/166.17 => 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))))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_prod__eqI,axiom, % 166.36/166.17 ! [V_q,V_p,T_b,T_a] : % 166.36/166.17 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 166.36/166.17 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 166.36/166.17 => V_p = V_q ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Pair__fst__snd__eq,axiom, % 166.36/166.17 ! [T_c,T_b,V_t_2,V_s_2] : % 166.36/166.17 ( V_s_2 = V_t_2 % 166.36/166.17 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 166.36/166.17 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__conv,axiom, % 166.36/166.17 ! [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 ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__eqD,axiom, % 166.36/166.17 ! [V_a,V_y,V_x,T_b,T_a] : % 166.36/166.17 ( 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 % 166.36/166.17 => V_x = V_a ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__def,axiom, % 166.36/166.17 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__apsnd,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_surjective__pairing,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__collapse,axiom, % 166.36/166.17 ! [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 ). % 166.36/166.17 % 166.36/166.17 fof(fact_prod__case__beta,axiom, % 166.36/166.17 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__int__def,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__comp__eq,axiom, % 166.36/166.17 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__beta,axiom, % 166.36/166.17 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__def,axiom, % 166.36/166.17 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_The__split,axiom, % 166.36/166.17 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__neg__pos,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__pos__pos,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__pos__pos__1__number__of,axiom, % 166.36/166.17 ! [V_w] : % 166.36/166.17 ( 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))) % 166.36/166.17 => 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))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__pos__neg,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__neg__neg,axiom, % 166.36/166.17 ! [V_b,V_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.36/166.17 => 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)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_prod__size__simp,axiom, % 166.36/166.17 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_conjI__realizer,axiom, % 166.36/166.17 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,V_p_2)) % 166.36/166.17 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 166.36/166.17 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 166.36/166.17 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_exI__realizer,axiom, % 166.36/166.17 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_div__nat__def,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_divmod__nat__rel__def,axiom, % 166.36/166.17 ! [V_qr_2,V_n_2,V_m_2] : % 166.36/166.17 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 166.36/166.17 <=> ( 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)) % 166.36/166.17 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.17 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.36/166.17 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.36/166.17 => ( 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))) % 166.36/166.17 & 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)) ) ) % 166.36/166.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.36/166.17 => ( 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))) % 166.36/166.17 & 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))) ) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat__def,axiom, % 166.36/166.17 ! [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)))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat__gcd_Opinduct,axiom, % 166.36/166.17 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ! [B_x,B_y] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_inv__image__def,axiom, % 166.36/166.17 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Rep__Integ__inject,axiom, % 166.36/166.17 ! [V_y_2,V_x_2] : % 166.36/166.17 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 166.36/166.17 <=> V_x_2 = V_y_2 ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_in__inv__image,axiom, % 166.36/166.17 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2))) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rp__inv__image__def,axiom, % 166.36/166.17 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__class__nondisjoint,axiom, % 166.36/166.17 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_subset__equiv__class,axiom, % 166.36/166.17 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__class__self,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_quotient__disj,axiom, % 166.36/166.17 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( V_X_2 = V_Y_2 % 166.36/166.17 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__class__eq,axiom, % 166.36/166.17 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_quotient__eq__iff,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 166.36/166.17 => ( V_X_2 = V_Y_2 % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_quotient__eqI,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.17 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__class__eq__iff,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.17 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_eq__equiv__class__iff,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.36/166.17 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_eq__equiv__class,axiom, % 166.36/166.17 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 166.36/166.17 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.17 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__class__subset,axiom, % 166.36/166.17 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_eq__equiv__class__iff2,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.36/166.17 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__equiv__class,axiom, % 166.36/166.17 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__equiv__class2,axiom, % 166.36/166.17 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.36/166.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 166.36/166.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_in__finite__psubset,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b))) % 166.36/166.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_congruent2__implies__congruent,axiom, % 166.36/166.17 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_congruent2D,axiom, % 166.36/166.17 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2)) % 166.36/166.17 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_congruentD,axiom, % 166.36/166.17 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2)) % 166.36/166.17 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_congruent2__implies__congruent__UN,axiom, % 166.36/166.17 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.36/166.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 166.36/166.17 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__psubset__def,axiom, % 166.36/166.17 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__equiv__class__inject,axiom, % 166.36/166.17 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.36/166.17 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => ! [B_y] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.36/166.17 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 166.36/166.17 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__equiv__class__type2,axiom, % 166.36/166.17 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.36/166.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2))) % 166.36/166.17 => ( ! [B_x1] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 166.36/166.17 => ! [B_x2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__equiv__class__type,axiom, % 166.36/166.17 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mlex__leq,axiom, % 166.36/166.17 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osize_I2_J,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mlex__less,axiom, % 166.36/166.17 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.36/166.17 ( 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))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Oinject,axiom, % 166.36/166.17 ! [V_code__numeral_H_2,V_code__numeral_2] : % 166.36/166.17 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 166.36/166.17 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osimps_I3_J,axiom, % 166.36/166.17 ! [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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osimps_I2_J,axiom, % 166.36/166.17 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Suc__code__numeral__minus__one,axiom, % 166.36/166.17 ! [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 ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osize_I4_J,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat_Osize_I4_J,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_prod_Orecs,axiom, % 166.36/166.17 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat__size,axiom, % 166.36/166.17 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat_Osize_I3_J,axiom, % 166.36/166.17 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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osize_I3_J,axiom, % 166.36/166.17 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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_lfp__induct2,axiom, % 166.36/166.17 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2))) % 166.36/166.17 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2) % 166.36/166.17 => ( ! [B_a,B_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)))))) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_in__lex__prod,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2))) % 166.36/166.17 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 166.36/166.17 | ( V_a_2 = V_a_H_2 % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equivp__equiv,axiom, % 166.36/166.17 ! [V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 166.36/166.17 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equivp__transp,axiom, % 166.36/166.17 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equivp__symp,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_R_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equivp__reflp,axiom, % 166.36/166.17 ! [V_x_2,V_R_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equivp__def,axiom, % 166.36/166.17 ! [V_R_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.17 <=> ! [B_x,B_y] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 166.36/166.17 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_identity__equivp,axiom, % 166.36/166.17 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 166.36/166.17 % 166.36/166.17 fof(fact_same__fstI,axiom, % 166.36/166.17 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__apfst,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__apsnd,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__conv,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__apfst,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__eq__conv,axiom, % 166.36/166.17 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.17 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2) % 166.36/166.17 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__apfst,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__apfst__commute,axiom, % 166.36/166.17 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__lessI2,axiom, % 166.36/166.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_ImageE,axiom, % 166.36/166.17 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 166.36/166.17 => ~ ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mlex__prod__def,axiom, % 166.36/166.17 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__less__def,axiom, % 166.36/166.17 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 166.36/166.17 % 166.36/166.17 fof(fact_measure__def,axiom, % 166.36/166.17 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 166.36/166.17 % 166.36/166.17 fof(fact_less__than__iff,axiom, % 166.36/166.17 ! [V_y_2,V_x_2] : % 166.36/166.17 ( 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)) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__lessI1,axiom, % 166.36/166.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.36/166.17 => 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)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__leqI2,axiom, % 166.36/166.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_smin__insertI,axiom, % 166.36/166.17 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => 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)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_smax__insertI,axiom, % 166.36/166.17 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => 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)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_smin__emptyI,axiom, % 166.36/166.17 ! [V_X_2] : % 166.36/166.17 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 166.36/166.17 => 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)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_smax__emptyI,axiom, % 166.36/166.17 ! [V_Y_2] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 166.36/166.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 166.36/166.17 => 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)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pair__leqI1,axiom, % 166.36/166.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.36/166.17 => 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)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wmax__insertI,axiom, % 166.36/166.17 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => 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)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wmin__insertI,axiom, % 166.36/166.17 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => 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)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Field__insert,axiom, % 166.36/166.17 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Field__empty,axiom, % 166.36/166.17 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mono__Field,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Field__Un,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__Field,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wmax__emptyI,axiom, % 166.36/166.17 ! [V_X_2] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 166.36/166.17 => 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)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wmin__emptyI,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_min__weak__def,axiom, % 166.36/166.17 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)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__weak__def,axiom, % 166.36/166.17 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)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__def,axiom, % 166.36/166.17 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__def_H,axiom, % 166.36/166.17 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__empty,axiom, % 166.36/166.17 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Image__Id__on,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__iff,axiom, % 166.36/166.17 ! [V_A_2,V_y_2,V_x_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 166.36/166.17 <=> ( V_x_2 = V_y_2 % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__eqI,axiom, % 166.36/166.17 ! [V_A_2,T_b,V_b_2,V_a_2] : % 166.36/166.17 ( V_a_2 = V_b_2 % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__strict__def,axiom, % 166.36/166.17 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__ext__additive,axiom, % 166.36/166.17 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_min__strict__def,axiom, % 166.36/166.17 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__extp__max__ext__eq,axiom, % 166.36/166.17 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__rpair__set,axiom, % 166.36/166.17 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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_min__rpair__set,axiom, % 166.36/166.17 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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rp__inv__image__rp,axiom, % 166.36/166.17 ! [V_f_2,T_c,V_P_2,T_b] : % 166.36/166.17 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 166.36/166.17 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__intrel__iff,axiom, % 166.36/166.17 ! [V_y_2,V_x_2] : % 166.36/166.17 ( 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)))) % 166.36/166.17 <=> 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)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_intrel__iff,axiom, % 166.36/166.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.36/166.17 ( 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)) % 166.36/166.17 <=> 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) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__onE,axiom, % 166.36/166.17 ! [V_A_2,V_c_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 166.36/166.17 => ~ ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__intrel,axiom, % 166.36/166.17 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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_of__int,axiom, % 166.36/166.17 ! [V_j_2,V_i_2,T_b] : % 166.36/166.17 ( class_Rings_Oring__1(T_b) % 166.36/166.17 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_One__int__def,axiom, % 166.36/166.17 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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mult,axiom, % 166.36/166.17 ! [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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Rep__Integ__inverse,axiom, % 166.36/166.17 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_minus,axiom, % 166.36/166.17 ! [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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Zero__int__def,axiom, % 166.36/166.17 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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_int__def,axiom, % 166.36/166.17 ! [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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_add,axiom, % 166.36/166.17 ! [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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_nat,axiom, % 166.36/166.17 ! [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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_minus__int__def,axiom, % 166.36/166.17 ! [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))))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_less,axiom, % 166.36/166.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.36/166.17 ( 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))))))) % 166.36/166.17 <=> 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))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_le,axiom, % 166.36/166.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.36/166.17 ( 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))))))) % 166.36/166.17 <=> 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))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_eq__Abs__Integ,axiom, % 166.36/166.17 ! [V_z_2] : % 166.36/166.17 ~ ! [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))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Integ__def,axiom, % 166.36/166.17 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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osimps_I5_J,axiom, % 166.36/166.17 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Rep__Integ,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_code__numeral_Osimps_I4_J,axiom, % 166.36/166.17 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition__Integ,axiom, % 166.36/166.17 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) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp__acc__eq,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2)) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__def,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__compI,axiom, % 166.36/166.17 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__UNION__distrib2,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__UNION__distrib,axiom, % 166.36/166.17 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__empty2,axiom, % 166.36/166.17 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__empty1,axiom, % 166.36/166.17 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__distrib2,axiom, % 166.36/166.17 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__distrib,axiom, % 166.36/166.17 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_O__assoc,axiom, % 166.36/166.17 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__mono,axiom, % 166.36/166.17 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_union__comp__emptyL,axiom, % 166.36/166.17 ! [V_B_2,V_C_2,V_A_2,T_b] : % 166.36/166.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.17 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.17 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_union__comp__emptyR,axiom, % 166.36/166.17 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.36/166.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.17 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.17 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_acc__subset,axiom, % 166.36/166.17 ! [V_R2_2,V_R1_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_acc__downward,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,V_b_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_acc_Osimps,axiom, % 166.36/166.17 ! [V_r_2,V_a_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.36/166.17 <=> ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__ext__compat,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_min__ext__compat,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_ORep__range,axiom, % 166.36/166.17 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_OAbs__image,axiom, % 166.36/166.17 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_OAbs__inject,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 166.36/166.17 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 166.36/166.17 <=> V_x_2 = V_y_2 ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_ORep__inject,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 166.36/166.17 <=> V_x_2 = V_y_2 ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_ORep__inverse,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_ORep,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_type__definition_OAbs__inverse,axiom, % 166.36/166.17 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.36/166.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 166.36/166.17 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pred__comp__rel__comp__eq,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2)) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_reduction__pairI,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 166.36/166.17 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__extp_Oequations,axiom, % 166.36/166.17 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 166.36/166.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.36/166.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.36/166.17 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 & ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.36/166.17 => ? [B_xa] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__less__than,axiom, % 166.36/166.17 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pred__comp_Ointros,axiom, % 166.36/166.17 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__empty,axiom, % 166.36/166.17 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__inv__image,axiom, % 166.36/166.17 ! [V_f_2,T_c,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__lex__prod,axiom, % 166.36/166.17 ! [V_rb_2,T_c,V_ra_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_ra_2) % 166.36/166.17 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__measure,axiom, % 166.36/166.17 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__comp__self,axiom, % 166.36/166.17 ! [V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__subset,axiom, % 166.36/166.17 ! [V_p_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2)) % 166.36/166.17 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_min__ext__wf,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__less,axiom, % 166.36/166.17 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)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pred__comp_Oequations,axiom, % 166.36/166.17 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2)) % 166.36/166.17 <=> ? [B_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 166.36/166.17 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__Int1,axiom, % 166.36/166.17 ! [V_r_H_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__Int2,axiom, % 166.36/166.17 ! [V_r_H_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__finite__psubset,axiom, % 166.36/166.17 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__mlex,axiom, % 166.36/166.17 ! [V_f_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__pair__less,axiom, % 166.36/166.17 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__ext__wf,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__not__refl,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__not__sym,axiom, % 166.36/166.17 ! [V_x_2,V_a_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__asym,axiom, % 166.36/166.17 ! [V_x_2,V_a_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__irrefl,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__int__ge__less__than2,axiom, % 166.36/166.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__int__ge__less__than,axiom, % 166.36/166.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__acc__iff,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_acc__wfD,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__no__loop,axiom, % 166.36/166.17 ! [V_R_2,T_b] : % 166.36/166.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__union__merge,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 166.36/166.17 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 <=> ~ ? [B_f] : % 166.36/166.17 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfE__pf,axiom, % 166.36/166.17 ! [V_A_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2))) % 166.36/166.17 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__union__compatible,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 => ( c_Wellfounded_Owf(T_b,V_S_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf,axiom, % 166.36/166.17 ! [T_b] : % 166.36/166.17 ( class_Orderings_Owellorder(T_b) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_reduction__pair__def,axiom, % 166.36/166.17 ! [V_P_2,T_b] : % 166.36/166.17 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 166.36/166.17 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_reduction__pair__lemma,axiom, % 166.36/166.17 ! [V_S_2,V_R_2,V_P_2,T_b] : % 166.36/166.17 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 166.36/166.17 => ( c_Wellfounded_Owf(T_b,V_S_2) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__lenlex,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__if__measure,axiom, % 166.36/166.17 ! [T_b,V_g_2,V_f_2,V_P_2] : % 166.36/166.17 ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.17 => 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))) ) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_max__ext_Ointros,axiom, % 166.36/166.17 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 166.36/166.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 166.36/166.17 => ? [B_xa] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_pred__nat__def,axiom, % 166.36/166.17 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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__lex,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__lexn,axiom, % 166.36/166.17 ! [V_n_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_lex__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_lexn_Osimps_I1_J,axiom, % 166.36/166.17 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__pred__nat,axiom, % 166.36/166.17 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__same__fst,axiom, % 166.36/166.17 ! [T_b,V_R_2,T_c,V_P_2] : % 166.36/166.17 ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.17 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 166.36/166.17 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Nitpick_Ozero__frac__def,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__Collect__split,axiom, % 166.36/166.17 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_RangeI,axiom, % 166.36/166.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__Id__on,axiom, % 166.36/166.17 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__Diff__subset,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__empty,axiom, % 166.36/166.17 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__empty__iff,axiom, % 166.36/166.17 ! [V_r_2,T_b,T_c] : % 166.36/166.17 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__Un__eq,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__Range,axiom, % 166.36/166.17 ! [V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__eq__Range,axiom, % 166.36/166.17 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__iff,axiom, % 166.36/166.17 ! [V_r_2,T_c,V_a_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 166.36/166.17 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__insert,axiom, % 166.36/166.17 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Range__Int__subset,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Nitpick_Oone__frac__def,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 166.36/166.17 ! [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))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_RangeP__Range__eq,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_RangeP_Ointros,axiom, % 166.36/166.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.36/166.17 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_RangeP_Oequations,axiom, % 166.36/166.17 ! [V_a2_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 166.36/166.17 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Nitpick_Ofrac__def,axiom, % 166.36/166.17 ! [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)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_RangeE,axiom, % 166.36/166.17 ! [V_r_2,T_c,V_b_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 166.36/166.17 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__Un,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ( c_Wellfounded_Owf(T_b,V_s_2) % 166.36/166.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_DomainI,axiom, % 166.36/166.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__Id__on,axiom, % 166.36/166.17 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__empty,axiom, % 166.36/166.17 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__empty__iff,axiom, % 166.36/166.17 ! [V_r_2,T_c,T_b] : % 166.36/166.17 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__mono,axiom, % 166.36/166.17 ! [V_s_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__Un__eq,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__Domain,axiom, % 166.36/166.17 ! [V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__eq__Domain,axiom, % 166.36/166.17 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__iff,axiom, % 166.36/166.17 ! [V_r_2,T_c,V_a_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 166.36/166.17 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__insert,axiom, % 166.36/166.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__Int__subset,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__Diff__subset,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Field__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Domain__Collect__split,axiom, % 166.36/166.17 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_DomainP__Domain__eq,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_DomainE,axiom, % 166.36/166.17 ! [V_r_2,T_c,V_a_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 166.36/166.17 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_image__split__eq__Sigma,axiom, % 166.36/166.17 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_DomainP_Ointros,axiom, % 166.36/166.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.36/166.17 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SigmaI,axiom, % 166.36/166.17 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__empty1,axiom, % 166.36/166.17 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__eq__cancel2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 166.36/166.17 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) % 166.36/166.17 <=> V_A_2 = V_B_2 ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_card__cartesian__product,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__cartesian__product,axiom, % 166.36/166.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__empty,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : % 166.36/166.17 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) % 166.36/166.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__empty2,axiom, % 166.36/166.17 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Compl__Times__UNIV1,axiom, % 166.36/166.17 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Compl__Times__UNIV2,axiom, % 166.36/166.17 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod__cartesian__product,axiom, % 166.36/166.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Un__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__Un__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Un__distrib2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_rel__comp__subset__Sigma,axiom, % 166.36/166.17 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_swap__product,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__cartesian__product,axiom, % 166.36/166.17 ! [V_B_2,T_c,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_equiv__type,axiom, % 166.36/166.17 ! [V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Int__distrib2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__Int__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Int__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Id__on__subset__Times,axiom, % 166.36/166.17 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Diff__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__Diff__distrib1,axiom, % 166.36/166.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__Diff__distrib2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_DomainP_Oequations,axiom, % 166.36/166.17 ! [V_a1_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 166.36/166.17 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UNIV__Times__UNIV,axiom, % 166.36/166.17 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SigmaE2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 166.36/166.17 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SigmaD2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SigmaD1,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mem__Sigma__iff,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 166.36/166.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_card__cartesian__product__singleton,axiom, % 166.36/166.17 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Times__subset__cancel2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)))) % 166.36/166.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Image__subset,axiom, % 166.36/166.17 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__cartesian__productD1,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 166.36/166.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__cartesian__productD2,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 166.36/166.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Collect__split,axiom, % 166.36/166.17 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SetCompr__Sigma__eq,axiom, % 166.36/166.17 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__image__times,axiom, % 166.36/166.17 ! [V_A_2,T_c,T_b,V_B_2] : % 166.36/166.17 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.17 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__image__times,axiom, % 166.36/166.17 ! [V_B_2,T_c,T_b,V_A_2] : % 166.36/166.17 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.17 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_insert__times__insert,axiom, % 166.36/166.17 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__equiv__class,axiom, % 166.36/166.17 ! [V_X_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__Times__distrib,axiom, % 166.36/166.17 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Sigma__def,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__quotient,axiom, % 166.36/166.17 ! [V_r_2,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__mult__setsum__if__inj,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.17 ( class_Rings_Osemiring__0(T_d) % 166.36/166.17 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) % 166.36/166.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 166.36/166.17 ! [V_A_2,V_I_2,T_c,T_b] : % 166.36/166.17 ? [B_f] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) % 166.36/166.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fold__image__Sigma,axiom, % 166.36/166.17 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.36/166.17 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_image__id,axiom, % 166.36/166.17 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__id,axiom, % 166.36/166.17 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_id__def,axiom, % 166.36/166.17 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 166.36/166.17 % 166.36/166.17 fof(fact_vimage__id,axiom, % 166.36/166.17 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_id__apply,axiom, % 166.36/166.17 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 166.36/166.17 % 166.36/166.17 fof(fact_inj__on__id,axiom, % 166.36/166.17 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__id,axiom, % 166.36/166.17 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_of__int__eq__id,axiom, % 166.36/166.17 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 166.36/166.17 % 166.36/166.17 fof(fact_surj__id,axiom, % 166.36/166.17 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__Pair,axiom, % 166.36/166.17 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__reindex__id,axiom, % 166.36/166.17 ! [V_B_2,V_f_2,T_b,T_c] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod__reindex__id,axiom, % 166.36/166.17 ! [V_B_2,V_f_2,T_b,T_c] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod__Sigma,axiom, % 166.36/166.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__Sigma,axiom, % 166.36/166.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_d) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_card__SigmaI,axiom, % 166.36/166.17 ! [V_B_2,T_c,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.36/166.17 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__SigmaI,axiom, % 166.36/166.17 ! [V_B_2,T_c,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ! [B_a] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 166.36/166.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_SigmaE,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 166.36/166.17 => ~ ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => ! [B_y] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 166.36/166.17 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__surj,axiom, % 166.36/166.17 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 166.36/166.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__imageI,axiom, % 166.36/166.17 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__simp,axiom, % 166.36/166.17 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__ident,axiom, % 166.36/166.17 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__prod__fun,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__map__pair,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair_Oidentity,axiom, % 166.36/166.17 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__def,axiom, % 166.36/166.17 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__def,axiom, % 166.36/166.17 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair_Oid,axiom, % 166.36/166.17 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__def,axiom, % 166.36/166.17 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__surj__on,axiom, % 166.36/166.17 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 166.36/166.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 166.36/166.17 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 166.36/166.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__map__pair__image,axiom, % 166.36/166.17 ! [V_f_2,T_c,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.17 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__inj__on,axiom, % 166.36/166.17 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.17 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 166.36/166.17 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_prod__fun__imageE,axiom, % 166.36/166.17 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 166.36/166.17 => ~ ! [B_x,B_y] : % 166.36/166.17 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__def,axiom, % 166.36/166.17 ! [V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.17 & ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.36/166.17 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__empty,axiom, % 166.36/166.17 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__Id__on,axiom, % 166.36/166.17 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__accp__iff,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.36/166.17 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_accp__wfPD,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.36/166.17 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__subset,axiom, % 166.36/166.17 ! [V_p_2,V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2)) % 166.36/166.17 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__empty,axiom, % 166.36/166.17 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__Un,axiom, % 166.36/166.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 166.36/166.17 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__Int,axiom, % 166.36/166.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 166.36/166.17 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__onD2,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__onD1,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__onD,axiom, % 166.36/166.17 ! [V_a_2,V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__in__rel,axiom, % 166.36/166.17 ! [V_R_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.36/166.17 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__wf__eq,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)) % 166.36/166.17 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_reflp__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Predicate_Oreflp(T_b,V_r_2) % 166.36/166.17 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__onI,axiom, % 166.36/166.17 ! [V_A_2,V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) % 166.36/166.17 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__acyclicP,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__acyclic,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_reflpE,axiom, % 166.36/166.17 ! [V_x_2,V_r_2,T_b] : % 166.36/166.17 ( c_Predicate_Oreflp(T_b,V_r_2) % 166.36/166.17 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_acyclic__subset,axiom, % 166.36/166.17 ! [V_r_2,V_s_2,T_b] : % 166.36/166.17 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_finite__acyclic__wf,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.36/166.17 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.17 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wf__iff__acyclic__if__finite,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.36/166.17 => ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.17 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Nitpick_Owf_H__def,axiom, % 166.36/166.17 ! [V_r_2,T_b] : % 166.36/166.17 ( c_Nitpick_Owf_H(T_b,V_r_2) % 166.36/166.17 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.17 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.36/166.17 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Rep__Integ__induct,axiom, % 166.36/166.17 ! [V_P_2,V_y_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 166.36/166.17 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x))) % 166.36/166.17 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Rep__Integ__cases,axiom, % 166.36/166.17 ! [V_y_2] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 166.36/166.17 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_refl__on__def_H,axiom, % 166.36/166.17 ! [V_r_2,V_A_2,T_b] : % 166.36/166.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.17 <=> ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) ) % 166.36/166.17 & ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Abs__Integ__induct,axiom, % 166.36/166.17 ! [V_x_2,V_P_2] : % 166.36/166.17 ( ! [B_y] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 166.36/166.17 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 166.36/166.17 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Abs__Integ__cases,axiom, % 166.36/166.17 ! [V_x_2] : % 166.36/166.17 ~ ! [B_y] : % 166.36/166.17 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_ball__empty,axiom, % 166.36/166.17 ! [V_P_2,T_b,B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.17 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Powp__def,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 166.36/166.17 <=> ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 166.36/166.17 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_congruent__def,axiom, % 166.36/166.17 ! [V_f_2,V_r_2,T_c,T_b] : % 166.36/166.17 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 166.36/166.17 <=> ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_wfP__SUP,axiom, % 166.36/166.17 ! [T_b,V_r_2,T_c] : % 166.36/166.17 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 166.36/166.17 => ( ! [B_i,B_j] : % 166.36/166.17 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 166.36/166.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.17 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mem__splitE,axiom, % 166.36/166.17 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2))) % 166.36/166.17 => ~ ! [B_x,B_y] : % 166.36/166.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 166.36/166.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_mem__splitI2,axiom, % 166.36/166.17 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 166.36/166.17 ( ! [B_a,B_b] : % 166.36/166.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 166.36/166.17 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_triples__valid__Suc,axiom, % 166.36/166.17 ! [V_n_2,V_tsa_2,T_b] : % 166.36/166.17 ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 166.36/166.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 166.36/166.17 => ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 166.36/166.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_hoare__valids__def,axiom, % 166.36/166.17 ! [V_tsa_2,V_G_2,T_b] : % 166.36/166.17 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_G_2,V_tsa_2) % 166.36/166.17 <=> ! [B_n] : % 166.36/166.17 ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_G_2)) % 166.36/166.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 166.36/166.17 => ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2)) % 166.36/166.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_vimage__Times,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Eps__split,axiom, % 166.36/166.17 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_id__o,axiom, % 166.36/166.17 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__id,axiom, % 166.36/166.17 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__eq__id__dest,axiom, % 166.36/166.17 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.36/166.17 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2) % 166.36/166.17 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apsnd__compose,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_K__record__comp,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_someI__ex,axiom, % 166.36/166.17 ! [T_b,V_P_2] : % 166.36/166.17 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 166.36/166.17 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_some__eq__ex,axiom, % 166.36/166.17 ! [T_b,V_P_2] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) % 166.36/166.17 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_some__eq__trivial,axiom, % 166.36/166.17 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_some__sym__eq__trivial,axiom, % 166.36/166.17 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__def,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fun__upd__comp,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_vimage__compose,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_comp__cong,axiom, % 166.36/166.17 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 166.36/166.17 ( 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)) % 166.36/166.17 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__assoc,axiom, % 166.36/166.17 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__apply,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__eq__dest,axiom, % 166.36/166.17 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.36/166.17 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 166.36/166.17 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__eq__elim,axiom, % 166.36/166.17 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.36/166.17 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 166.36/166.17 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_tfl__some,axiom, % 166.36/166.17 ! [T_b,B_P] : % 166.36/166.17 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 166.36/166.17 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_someI,axiom, % 166.36/166.17 ! [T_b,V_x_2,V_P_2] : % 166.36/166.17 ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.17 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_o__eq__dest__lhs,axiom, % 166.36/166.17 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.36/166.17 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 166.36/166.17 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 166.36/166.17 ! [V_x_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_exE__some,axiom, % 166.36/166.17 ! [T_b,V_c_2,V_P_2] : % 166.36/166.17 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 166.36/166.17 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2) % 166.36/166.17 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_apfst__compose,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_inj__comp,axiom, % 166.36/166.17 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.17 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 166.36/166.17 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_inj__on__imageI2,axiom, % 166.36/166.17 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2) % 166.36/166.17 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_image__compose,axiom, % 166.36/166.17 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_comp__surj,axiom, % 166.36/166.17 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 166.36/166.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.17 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 166.36/166.17 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_comp__inj__on__iff,axiom, % 166.36/166.17 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.17 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 166.36/166.17 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_comp__inj__on,axiom, % 166.36/166.17 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.17 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 166.36/166.17 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_inj__on__imageI,axiom, % 166.36/166.17 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2) % 166.36/166.17 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair_Ocompositionality,axiom, % 166.36/166.17 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair__compose,axiom, % 166.36/166.17 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_map__pair_Ocomp,axiom, % 166.36/166.17 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__reindex,axiom, % 166.36/166.17 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_d) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod__reindex,axiom, % 166.36/166.17 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod__reindex__cong,axiom, % 166.36/166.17 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.17 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 166.36/166.17 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Eps__split__eq,axiom, % 166.36/166.17 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__paired__Eps,axiom, % 166.36/166.17 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum_Oreindex,axiom, % 166.36/166.17 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setprod_Oreindex,axiom, % 166.36/166.17 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_the__inv__into__comp,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 166.36/166.17 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 166.36/166.17 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fold__image__reindex,axiom, % 166.36/166.17 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 166.36/166.17 ( class_Groups_Oab__semigroup__mult(T_d) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 166.36/166.17 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Oremove,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.17 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding__image_Oreindex,axiom, % 166.36/166.17 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.17 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 166.36/166.17 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ounion,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.36/166.17 => ( 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)) % 166.36/166.17 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 166.36/166.17 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__comp,axiom, % 166.36/166.17 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__left__comp,axiom, % 166.36/166.17 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_UN__o,axiom, % 166.36/166.17 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 166.36/166.17 % 166.36/166.17 fof(fact_fst__comp__map__pair,axiom, % 166.36/166.17 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_snd__comp__map__pair,axiom, % 166.36/166.17 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding__image_Odistrib,axiom, % 166.36/166.17 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.17 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_split__comp,axiom, % 166.36/166.17 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__comp_H,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__left__comp_H,axiom, % 166.36/166.17 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__comp_H_H,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 166.36/166.17 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Oempty,axiom, % 166.36/166.17 ! [V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding__image_Oeq__fold,axiom, % 166.36/166.17 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.17 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Oinsert,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Ounion__inter,axiom, % 166.36/166.17 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.36/166.17 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_folding_Oinsert__remove,axiom, % 166.36/166.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_hoare__derivs_OIf,axiom, % 166.36/166.17 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_G_2,T_b] : % 166.36/166.17 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.36/166.17 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_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_b),tc_HOL_Obool)))) % 166.36/166.17 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_Loop,axiom, % 166.36/166.17 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_b] : % 166.36/166.17 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.36/166.17 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,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_b),tc_HOL_Obool)))) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_setsum__reindex__nonzero,axiom, % 166.36/166.17 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 166.36/166.17 ( class_Groups_Ocomm__monoid__add(T_d) % 166.36/166.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.36/166.17 => ( ! [B_x] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.36/166.17 => ! [B_y] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 166.36/166.17 => ( B_x != B_y % 166.36/166.17 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 166.36/166.17 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 166.36/166.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 166.36/166.17 % 166.36/166.17 fof(fact_peek__and__def,axiom, % 166.36/166.17 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] : % 166.36/166.17 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2),V_Z_2),V_s_2)) % 166.36/166.17 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2)) % 166.36/166.18 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Ounion__idem,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.36/166.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Oinsert__idem,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Oidem__left__comp,axiom, % 166.36/166.18 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Oidem__comp,axiom, % 166.36/166.18 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__idem_Oin__comp__idem,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_strong__setprod__reindex__cong,axiom, % 166.36/166.18 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 166.36/166.18 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.18 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) ) % 166.36/166.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wfI__pf,axiom, % 166.36/166.18 ! [V_R_2,T_b] : % 166.36/166.18 ( ! [B_A] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A))) % 166.36/166.18 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 166.36/166.18 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sigma__mono,axiom, % 166.36/166.18 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acc_OaccI,axiom, % 166.36/166.18 ! [V_r_2,V_x_2,T_b] : % 166.36/166.18 ( ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_not__acc__down,axiom, % 166.36/166.18 ! [V_R_2,V_x_2,T_b] : % 166.36/166.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 166.36/166.18 => ~ ! [B_z] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_max__ext_Osimps,axiom, % 166.36/166.18 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 166.36/166.18 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.36/166.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.36/166.18 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 & ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.36/166.18 => ? [B_xa] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__no__infinite__down__chainE,axiom, % 166.36/166.18 ! [V_f_2,V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.18 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osize_I11_J,axiom, % 166.36/166.18 ! [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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osize_I3_J,axiom, % 166.36/166.18 ! [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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I36_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I37_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I34_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I35_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I11_J,axiom, % 166.36/166.18 ! [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 ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I10_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I40_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I41_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I38_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I39_J,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_com_Osimps_I2_J,axiom, % 166.36/166.18 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 166.36/166.18 ( 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) % 166.36/166.18 <=> ( V_loc_2 = V_loc_H_2 % 166.36/166.18 & V_fun_2 = V_fun_H_2 % 166.36/166.18 & V_com_2 = V_com_H_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_scomp__unfold,axiom, % 166.36/166.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_setsum__ivl__cong,axiom, % 166.36/166.18 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 166.36/166.18 ( ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.18 & class_Orderings_Oord(T_b) ) % 166.36/166.18 => ( V_a_2 = V_c_2 % 166.36/166.18 => ( V_b_2 = V_d_2 % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 166.36/166.18 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 166.36/166.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_less__eq,axiom, % 166.36/166.18 ! [V_n_2,V_m_2] : % 166.36/166.18 ( 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))) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_scomp__apply,axiom, % 166.36/166.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__trancl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.18 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Pair__scomp,axiom, % 166.36/166.18 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_scomp__scomp,axiom, % 166.36/166.18 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_scomp__Pair,axiom, % 166.36/166.18 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_scomp__def,axiom, % 166.36/166.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_less__than__def,axiom, % 166.36/166.18 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acyclic__def,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.18 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl_Or__into__trancl,axiom, % 166.36/166.18 ! [V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__subset__Field2,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__Int__subset,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_r__into__trancl_H,axiom, % 166.36/166.18 ! [V_r_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__empty,axiom, % 166.36/166.18 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__domain,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__range,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__trancl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_r__r__into__trancl,axiom, % 166.36/166.18 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__into__trancl2,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__trans,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__mono,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__unfold,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__subset__Sigma,axiom, % 166.36/166.18 ! [V_A_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_iterate_Osimps,axiom, % 166.36/166.18 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 166.36/166.18 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.18 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) ) % 166.36/166.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.18 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__insert,axiom, % 166.36/166.18 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_reflcl__set__eq,axiom, % 166.36/166.18 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_r__into__rtrancl,axiom, % 166.36/166.18 ! [V_r_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl_Ortrancl__refl,axiom, % 166.36/166.18 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_IdI,axiom, % 166.36/166.18 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__into__rtrancl,axiom, % 166.36/166.18 ! [V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__unfold__left,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__unfold__right,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_reflcl__trancl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__reflcl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__trancl__absorb,axiom, % 166.36/166.18 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__rtrancl__absorb,axiom, % 166.36/166.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_refl__rtrancl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__r__diff__Id,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__trans,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__idemp,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__closed__trancl,axiom, % 166.36/166.18 ! [V_X_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2)) % 166.36/166.18 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__Un__subset,axiom, % 166.36/166.18 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__reflcl,axiom, % 166.36/166.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__Un__rtrancl,axiom, % 166.36/166.18 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__reflcl__absorb,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__subset__rtrancl,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__subset,axiom, % 166.36/166.18 ! [V_S_2,V_R_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__mono,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__Int__subset,axiom, % 166.36/166.18 ! [V_r_2,V_s_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__idemp__self__comp,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_r__comp__rtrancl__eq,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_in__rtrancl__UnI,axiom, % 166.36/166.18 ! [V_S_2,V_R_2,V_x_2,T_b] : % 166.36/166.18 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__unfold,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__empty,axiom, % 166.36/166.18 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Range__rtrancl,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Domain__rtrancl,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_R__O__Id,axiom, % 166.36/166.18 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_Id__O__R,axiom, % 166.36/166.18 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__Id,axiom, % 166.36/166.18 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_pair__in__Id__conv,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b))) % 166.36/166.18 <=> V_a_2 = V_b_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__eq__or__trancl,axiom, % 166.36/166.18 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 <=> ( V_x_2 = V_y_2 % 166.36/166.18 | ( V_x_2 != V_y_2 % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__into__trancl2,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtranclD,axiom, % 166.36/166.18 ! [V_R_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 => ( V_a_2 = V_b_2 % 166.36/166.18 | ( V_a_2 != V_b_2 % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__into__trancl1,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__rtrancl__trancl,axiom, % 166.36/166.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__trancl__trancl,axiom, % 166.36/166.18 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Domain__Id,axiom, % 166.36/166.18 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Range__Id,axiom, % 166.36/166.18 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_refl__Id,axiom, % 166.36/166.18 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_pair__leq__def,axiom, % 166.36/166.18 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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Not__Domain__rtrancl,axiom, % 166.36/166.18 ! [V_y_2,V_R_2,V_x_2,T_b] : % 166.36/166.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 <=> V_x_2 = V_y_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acc__downwards__aux,axiom, % 166.36/166.18 ! [V_r_2,V_a_2,V_b_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acc__downwards,axiom, % 166.36/166.18 ! [V_b_2,V_r_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__insert,axiom, % 166.36/166.18 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 166.36/166.18 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.18 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acyclic__insert,axiom, % 166.36/166.18 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 166.36/166.18 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.18 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_refl__reflcl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Id__def,axiom, % 166.36/166.18 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_irrefl__diff__Id,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_pred__nat__trancl__eq__le,axiom, % 166.36/166.18 ! [V_n_2,V_m_2] : % 166.36/166.18 ( 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))) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__subset__Sigma__aux,axiom, % 166.36/166.18 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.18 => ( V_a_2 = V_b_2 % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_log_Osimps,axiom, % 166.36/166.18 ! [V_i,V_b] : % 166.36/166.18 ( ( ( 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))) % 166.36/166.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 166.36/166.18 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 166.36/166.18 & ( ~ ( 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))) % 166.36/166.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 166.36/166.18 => 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))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_minus__shift__def,axiom, % 166.36/166.18 ! [V_r,V_l,V_k] : % 166.36/166.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.36/166.18 => 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) ) % 166.36/166.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.36/166.18 => 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) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inc__shift__def,axiom, % 166.36/166.18 ! [V_k,V_v] : % 166.36/166.18 ( ( V_v = V_k % 166.36/166.18 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 166.36/166.18 & ( V_v != V_k % 166.36/166.18 => 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)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_range,axiom, % 166.36/166.18 ! [V_s,V_k] : % 166.36/166.18 ( 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)) % 166.36/166.18 => 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)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_irrefl__tranclI,axiom, % 166.36/166.18 ! [V_x_2,V_r_2,T_b] : % 166.36/166.18 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__Id,axiom, % 166.36/166.18 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__Un,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acyclic__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.18 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__UNION,axiom, % 166.36/166.18 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__rel__comp,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__Id__on,axiom, % 166.36/166.18 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__inv__image,axiom, % 166.36/166.18 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__Int,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Field__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__converse,axiom, % 166.36/166.18 ! [V_r_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 166.36/166.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_refl__on__converse,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.18 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converseD,axiom, % 166.36/166.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converseI,axiom, % 166.36/166.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__iff,axiom, % 166.36/166.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__converse__trancl,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.18 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_equiv__comp__eq,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.18 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Range__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Domain__converse,axiom, % 166.36/166.18 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Range__def,axiom, % 166.36/166.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__converseI,axiom, % 166.36/166.18 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__converseD,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__converseD,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__converseI,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__subset__eq,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2)) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_refl__on__comp__subset,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_comp__equivI,axiom, % 166.36/166.18 ! [V_A_2,V_r_2,T_b] : % 166.36/166.18 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 % 166.36/166.18 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 166.36/166.18 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__acyclic__wf__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.36/166.18 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.18 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__def,axiom, % 166.36/166.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_sequence__trans,axiom, % 166.36/166.18 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 166.36/166.18 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_total__on__diff__Id,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 166.36/166.18 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_total__on__empty,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_total__on__converse,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.18 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_total__on__def,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => ! [B_xa] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 166.36/166.18 => ( B_x != B_xa % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 166.36/166.18 ! [V_R_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_acyclicI,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.36/166.18 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__1,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__commute,axiom, % 166.36/166.18 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_comp__funpow,axiom, % 166.36/166.18 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__exp,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) % 166.36/166.18 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow__swap1,axiom, % 166.36/166.18 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow__mult,axiom, % 166.36/166.18 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__imp__rtrancl,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__power,axiom, % 166.36/166.18 ! [V_R_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_relpow_Osimps_I2_J,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__add,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_relpow_Osimps_I1_J,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__0__I,axiom, % 166.36/166.18 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__0__E,axiom, % 166.36/166.18 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 166.36/166.18 => V_x_2 = V_y_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__Suc__I,axiom, % 166.36/166.18 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__Suc__I2,axiom, % 166.36/166.18 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow_Osimps_I2_J,axiom, % 166.36/166.18 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow__add,axiom, % 166.36/166.18 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow_Osimps_I1_J,axiom, % 166.36/166.18 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_trancl__power,axiom, % 166.36/166.18 ! [V_R_2,V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 166.36/166.18 <=> ? [B_n] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 166.36/166.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_funpow__code__def,axiom, % 166.36/166.18 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__E2,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => V_x_2 != V_z_2 ) % 166.36/166.18 => ~ ! [B_y,B_m] : % 166.36/166.18 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__E,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => V_x_2 != V_z_2 ) % 166.36/166.18 => ~ ! [B_y,B_m] : % 166.36/166.18 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__Int__eq,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 166.36/166.18 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__rel__pow,axiom, % 166.36/166.18 ! [V_n_2,V_R_2,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 166.36/166.18 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__subset,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 166.36/166.18 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__Id,axiom, % 166.36/166.18 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__rel__comp,axiom, % 166.36/166.18 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.36/166.18 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 166.36/166.18 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__Id__on,axiom, % 166.36/166.18 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valuedD,axiom, % 166.36/166.18 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2)) % 166.36/166.18 => V_y_2 = V_z_2 ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__def,axiom, % 166.36/166.18 ! [V_r_2,T_c,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.36/166.18 <=> ! [B_x,B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2)) % 166.36/166.18 => ! [B_z] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2)) % 166.36/166.18 => B_y = B_z ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_single__valued__confluent,axiom, % 166.36/166.18 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__Un__separator__converseE,axiom, % 166.36/166.18 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 166.36/166.18 => ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2)) % 166.36/166.18 => B_y = B_x ) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__Un__separatorE,axiom, % 166.36/166.18 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 166.36/166.18 => ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2)) % 166.36/166.18 => B_x = B_y ) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__Suc__E,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 166.36/166.18 => ~ ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__Suc__E2,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 166.36/166.18 => ~ ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__pow__Suc__D2,axiom, % 166.36/166.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 166.36/166.18 => ? [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_tranclD2,axiom, % 166.36/166.18 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 166.36/166.18 => ? [B_z] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_tranclD,axiom, % 166.36/166.18 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 166.36/166.18 => ? [B_z] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_IdE,axiom, % 166.36/166.18 ! [V_p_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 166.36/166.18 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nat__intermed__int__val,axiom, % 166.36/166.18 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 166.36/166.18 ( ! [B_i] : % 166.36/166.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 166.36/166.18 => 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))) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 166.36/166.18 => ? [B_i] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 166.36/166.18 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__empty,axiom, % 166.36/166.18 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__image__def,axiom, % 166.36/166.18 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding_Oeq__fold,axiom, % 166.36/166.18 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__def,axiom, % 166.36/166.18 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_union__fold__insert,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__sup__insert,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__sup(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__inf__insert,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__inf(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Ofold__inf__insert,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Ofold__sup__insert,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 166.36/166.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 166.36/166.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_sup__SUPR__fold__sup,axiom, % 166.36/166.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_sup__le__fold__sup,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__sup(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__inf__le__inf,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__inf(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Osup__le__fold__sup,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold1__eq__fold__idem,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Olattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Olattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Min_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Max_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_minus__fold__remove,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__one_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_SUPR__fold__sup,axiom, % 166.36/166.18 ! [V_f_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold1__eq__fold,axiom, % 166.36/166.18 ! [V_a_2,V_A_2,T_b] : % 166.36/166.18 ( class_Groups_Oab__semigroup__mult(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Olattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Olattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Min_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Max_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__rec,axiom, % 166.36/166.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 166.36/166.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 166.36/166.18 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 166.36/166.18 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.36/166.18 => V_y_2 = V_x_2 ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm,axiom, % 166.36/166.18 ! [T_b] : % 166.36/166.18 ( class_Groups_Oab__semigroup__mult(T_b) % 166.36/166.18 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 166.36/166.18 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => 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)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 166.36/166.18 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 166.36/166.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__equality,axiom, % 166.36/166.18 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 166.36/166.18 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 166.36/166.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__insert,axiom, % 166.36/166.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 166.36/166.18 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => ? [B_y_H] : % 166.36/166.18 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 166.36/166.18 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INFI__fold__inf,axiom, % 166.36/166.18 ! [V_f_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF1__D,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF1__E,axiom, % 166.36/166.18 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__E,axiom, % 166.36/166.18 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__D,axiom, % 166.36/166.18 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF2__D,axiom, % 166.36/166.18 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF2__E,axiom, % 166.36/166.18 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__INT,axiom, % 166.36/166.18 ! [V_A_2,T_c,V_I_2,T_b] : % 166.36/166.18 ( ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.36/166.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Compl__INT,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Compl__UN,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UN__simps_I7_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UN__extend__simps_I7_J,axiom, % 166.36/166.18 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I9_J,axiom, % 166.36/166.18 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I9_J,axiom, % 166.36/166.18 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converse__INTER,axiom, % 166.36/166.18 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I1_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I2_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__insert,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__const,axiom, % 166.36/166.18 ! [V_M_2,T_b,V_A_2,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__absorb,axiom, % 166.36/166.18 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__INT__eq,axiom, % 166.36/166.18 ! [V_x_2,V_r_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__iff,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__INT__eq2,axiom, % 166.36/166.18 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b] : % 166.36/166.18 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.18 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.18 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__Int__distrib,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INFI__apply,axiom, % 166.36/166.18 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__commute,axiom, % 166.36/166.18 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Pow__INT__eq,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I5_J,axiom, % 166.36/166.18 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I5_J,axiom, % 166.36/166.18 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I10_J,axiom, % 166.36/166.18 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I10_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_vimage__INT,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INFI__bool__eq,axiom, % 166.36/166.18 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__insert__distrib,axiom, % 166.36/166.18 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__empty,axiom, % 166.36/166.18 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__constant,axiom, % 166.36/166.18 ! [V_c_2,T_c,T_b,V_A_2] : % 166.36/166.18 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.18 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__Un,axiom, % 166.36/166.18 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Collect__ball__eq,axiom, % 166.36/166.18 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__lower,axiom, % 166.36/166.18 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__subset__iff,axiom, % 166.36/166.18 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I7_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I6_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I7_J,axiom, % 166.36/166.18 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Un__INT__distrib,axiom, % 166.36/166.18 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I6_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Un__INT__distrib2,axiom, % 166.36/166.18 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__less__iff,axiom, % 166.36/166.18 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 166.36/166.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 & class_Orderings_Olinorder(T_b) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2)) % 166.36/166.18 <=> ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_le__INF__iff,axiom, % 166.36/166.18 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2))) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__INT__subset,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__subset,axiom, % 166.36/166.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INTER__def,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I2_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I1_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I3_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I3_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I4_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF__leI,axiom, % 166.36/166.18 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__greaterThan__UNIV,axiom, % 166.36/166.18 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)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I4_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.36/166.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 166.36/166.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Image__INT__eq,axiom, % 166.36/166.18 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 166.36/166.18 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 166.36/166.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 166.36/166.18 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inf__INFI__fold__inf,axiom, % 166.36/166.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__fold__inf,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__fold__sup,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__Inter,axiom, % 166.36/166.18 ! [V_M_2,T_b] : % 166.36/166.18 ( ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 166.36/166.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UnionI,axiom, % 166.36/166.18 ! [V_A_2,V_C_2,V_X_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_InterD,axiom, % 166.36/166.18 ! [V_X_2,V_C_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_InterE,axiom, % 166.36/166.18 ! [V_X_2,V_C_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF2__iff,axiom, % 166.36/166.18 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INF1__iff,axiom, % 166.36/166.18 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__simps_I8_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INT__extend__simps_I8_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_INTER__eq__Inter__image,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__image__eq,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Un__Inter,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__Inf,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__Sup,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__upper,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__less__iff,axiom, % 166.36/166.18 ! [V_a_2,V_S_2,T_b] : % 166.36/166.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 & class_Orderings_Olinorder(T_b) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 166.36/166.18 <=> ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_less__Sup__iff,axiom, % 166.36/166.18 ! [V_S_2,V_a_2,T_b] : % 166.36/166.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 & class_Orderings_Olinorder(T_b) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 166.36/166.18 <=> ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__le__iff,axiom, % 166.36/166.18 ! [V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2)) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_le__Inf__iff,axiom, % 166.36/166.18 ! [V_A_2,V_b_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__disjoint,axiom, % 166.36/166.18 ! [V_A_2,V_C_2,T_b] : % 166.36/166.18 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 <=> ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Field__Union,axiom, % 166.36/166.18 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__Pow__eq,axiom, % 166.36/166.18 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ). % 166.36/166.18 % 166.36/166.18 fof(fact_Domain__Union,axiom, % 166.36/166.18 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Int__Union,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Int__Union2,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UN__simps_I8_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UN__extend__simps_I8_J,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Range__Union,axiom, % 166.36/166.18 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_image__Union,axiom, % 166.36/166.18 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sigma__Union,axiom, % 166.36/166.18 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_vimage__Union,axiom, % 166.36/166.18 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__lower,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__empty,axiom, % 166.36/166.18 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__mono,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__quotient,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__insert,axiom, % 166.36/166.18 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__UnionD,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_subset__Pow__Union,axiom, % 166.36/166.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__anti__mono,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__empty,axiom, % 166.36/166.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__eq,axiom, % 166.36/166.18 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__UNIV,axiom, % 166.36/166.18 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__Un__distrib,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__insert,axiom, % 166.36/166.18 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UNION__eq__Union__image,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__image__eq,axiom, % 166.36/166.18 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__upper,axiom, % 166.36/166.18 ! [V_A_2,V_x_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__UNIV,axiom, % 166.36/166.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__lower,axiom, % 166.36/166.18 ! [V_A_2,V_x_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__Un__distrib,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__empty,axiom, % 166.36/166.18 ! [T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__singleton,axiom, % 166.36/166.18 ! [V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__insert,axiom, % 166.36/166.18 ! [V_A_2,V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Int__Inter__image,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__UNIV,axiom, % 166.36/166.18 ! [T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__singleton,axiom, % 166.36/166.18 ! [V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__empty,axiom, % 166.36/166.18 ! [T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__UNIV,axiom, % 166.36/166.18 ! [T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__insert,axiom, % 166.36/166.18 ! [V_A_2,V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Un__eq__Union,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Un__Union__image,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__Int__subset,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Int__eq__Inter,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__Un__subset,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__binary,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__binary,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_sup__Sup__fold__sup,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Sup__fin__Sup,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inf__Inf__fold__inf,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inf__fin__Inf,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_image__INT,axiom, % 166.36/166.18 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 166.36/166.18 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_card__partition,axiom, % 166.36/166.18 ! [V_k_2,V_C_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 166.36/166.18 => ( ! [B_c] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 166.36/166.18 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 166.36/166.18 => ( ! [B_c1] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 166.36/166.18 => ! [B_c2] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 166.36/166.18 => ( B_c1 != B_c2 % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 166.36/166.18 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__def,axiom, % 166.36/166.18 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Union__def,axiom, % 166.36/166.18 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__Union,axiom, % 166.36/166.18 ! [V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 166.36/166.18 => ( ! [B_M] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 166.36/166.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_insert__partition,axiom, % 166.36/166.18 ! [V_F_2,V_x_2,T_b] : % 166.36/166.18 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 166.36/166.18 => ! [B_xa] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 166.36/166.18 => ( B_x != B_xa % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 166.36/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inj__on__Inter,axiom, % 166.36/166.18 ! [V_f_2,T_c,T_b,V_S_2] : % 166.36/166.18 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 166.36/166.18 => ( ! [B_A] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 166.36/166.18 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 166.36/166.18 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Inter__subset,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( ! [B_X] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 166.36/166.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inj__on__INTER,axiom, % 166.36/166.18 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 166.36/166.18 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.18 => ( ! [B_i] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 166.36/166.18 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 166.36/166.18 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 166.36/166.18 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 166.36/166.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 => ~ ! [B_y] : % 166.36/166.18 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 166.36/166.18 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 166.36/166.18 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 166.36/166.18 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Orderings_Olinorder(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_InterI,axiom, % 166.36/166.18 ! [V_A_2,V_C_2,T_b] : % 166.36/166.18 ( ! [B_X] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_inf__le__fold__inf,axiom, % 166.36/166.18 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__inf(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_fold__sup__le__sup,axiom, % 166.36/166.18 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.36/166.18 ( class_Lattices_Osemilattice__sup(T_b) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_mod__div__decomp,axiom, % 166.36/166.18 ! [V_b,V_a,T_a] : % 166.36/166.18 ( class_Divides_Osemiring__div(T_a) % 166.36/166.18 => 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)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_wf__eq__minimal,axiom, % 166.36/166.18 ! [V_r_2,T_b] : % 166.36/166.18 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.36/166.18 <=> ! [B_Q] : % 166.36/166.18 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 166.36/166.18 => ? [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 166.36/166.18 & ! [B_y] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__image__simple__idem_Oidem,axiom, % 166.36/166.18 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.36/166.18 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.36/166.18 => 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) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 166.36/166.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.36/166.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.36/166.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.36/166.18 => 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) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_transfer__nat__int__set__cong,axiom, % 166.36/166.18 ! [V_P_H_2,V_P_2] : % 166.36/166.18 ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.36/166.18 => ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.18 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 166.36/166.18 => 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)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Int__Collect__mono,axiom, % 166.36/166.18 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.18 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_UnionE,axiom, % 166.36/166.18 ! [V_C_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 166.36/166.18 => ~ ! [B_X] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rel__compE,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2))) % 166.36/166.18 => ~ ! [B_x,B_y,B_z] : % 166.36/166.18 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_converseE,axiom, % 166.36/166.18 ! [V_r_2,V_yx_2,T_c,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 166.36/166.18 => ~ ! [B_x,B_y] : % 166.36/166.18 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Oplus__frac__def,axiom, % 166.36/166.18 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Otimes__frac__def,axiom, % 166.36/166.18 ! [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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Oof__frac__def,axiom, % 166.36/166.18 ! [V_q,T_a,T_b] : % 166.36/166.18 ( ( class_Rings_Oinverse(T_b) % 166.36/166.18 & class_Rings_Oring__1(T_b) ) % 166.36/166.18 => 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))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 166.36/166.18 ! [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)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 166.36/166.18 ! [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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Oless__frac__def,axiom, % 166.36/166.18 ! [V_r_2,V_q_2,T_b] : % 166.36/166.18 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 166.36/166.18 ! [V_r_2,V_q_2,T_b] : % 166.36/166.18 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Odenom__def,axiom, % 166.36/166.18 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Nitpick_Onum__def,axiom, % 166.36/166.18 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_setprod__pos,axiom, % 166.36/166.18 ! [V_f_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Rings_Olinordered__semidom(T_c) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_internal__split__def,axiom, % 166.36/166.18 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ). % 166.36/166.18 % 166.36/166.18 fof(fact_internal__split__conv,axiom, % 166.36/166.18 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_setprod__nonneg,axiom, % 166.36/166.18 ! [V_f_2,V_A_2,T_b,T_c] : % 166.36/166.18 ( class_Rings_Olinordered__semidom(T_c) % 166.36/166.18 => ( ! [B_x] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_bool_Osize_I2_J,axiom, % 166.36/166.18 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.18 % 166.36/166.18 fof(fact_bool_Osize_I1_J,axiom, % 166.36/166.18 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.18 % 166.36/166.18 fof(fact_finite__less__ub,axiom, % 166.36/166.18 ! [V_u_2,V_f_2] : % 166.36/166.18 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 166.36/166.18 => 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)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lenlex__def,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_neq__if__length__neq,axiom, % 166.36/166.18 ! [V_ys,V_xs,T_a] : % 166.36/166.18 ( 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) % 166.36/166.18 => V_xs != V_ys ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexn__length,axiom, % 166.36/166.18 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2))) % 166.36/166.18 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 166.36/166.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lenlex__conv,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_length__sublists,axiom, % 166.36/166.18 ! [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)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_length__sublist,axiom, % 166.36/166.18 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexn_Osimps_I2_J,axiom, % 166.36/166.18 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexord__lex,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 166.36/166.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_impossible__Cons,axiom, % 166.36/166.18 ! [V_x,V_ys,V_xs,T_a] : % 166.36/166.18 ( 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))) % 166.36/166.18 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexord__cons__cons,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) % 166.36/166.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.18 | ( V_a_2 = V_b_2 % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_list_Oinject,axiom, % 166.36/166.18 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 166.36/166.18 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2) % 166.36/166.18 <=> ( V_a_2 = V_a_H_2 % 166.36/166.18 & V_list_2 = V_list_H_2 ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_not__Cons__self2,axiom, % 166.36/166.18 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 166.36/166.18 % 166.36/166.18 fof(fact_not__Cons__self,axiom, % 166.36/166.18 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 166.36/166.18 % 166.36/166.18 fof(fact_list_Osize_I4_J,axiom, % 166.36/166.18 ! [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))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Cons__in__lex,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2))) % 166.36/166.18 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 166.36/166.18 | ( V_x_2 = V_y_2 % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_set__Cons__def,axiom, % 166.36/166.18 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_pick_Osimps,axiom, % 166.36/166.18 ! [V_xs,V_x,T_a,V_i] : % 166.36/166.18 ( ( 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))) % 166.36/166.18 => 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) ) % 166.36/166.18 & ( ~ 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))) % 166.36/166.18 => 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))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_select__weight__cons__zero,axiom, % 166.36/166.18 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 166.36/166.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Cons__acc__listrel1I,axiom, % 166.36/166.18 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1__mono,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1__converse,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 166.36/166.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1I2,axiom, % 166.36/166.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1__eq__len,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__listrel1__eq__len,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 166.36/166.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_in__listrel1__converse,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Cons__listrel1__Cons,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.18 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.18 & V_xs_2 = V_ys_2 ) % 166.36/166.18 | ( V_x_2 = V_y_2 % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1I1,axiom, % 166.36/166.18 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_list_Osize_I2_J,axiom, % 166.36/166.18 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__Cons,axiom, % 166.36/166.18 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__rtrancl__refl,axiom, % 166.36/166.18 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__mono,axiom, % 166.36/166.18 ! [V_s_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 166.36/166.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__eq__len,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__rtrancl__trans,axiom, % 166.36/166.18 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 166.36/166.18 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__reflcl__if__listrel1,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel1__subset__listrel,axiom, % 166.36/166.18 ! [V_r_H_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 166.36/166.18 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel_OCons,axiom, % 166.36/166.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrelp__listrel__eq,axiom, % 166.36/166.18 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 166.36/166.18 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2) % 166.36/166.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__Cons1,axiom, % 166.36/166.18 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 => ~ ! [B_y,B_ys] : % 166.36/166.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrelp_OCons,axiom, % 166.36/166.18 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.36/166.18 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 166.36/166.18 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrelp_Oequations_I2_J,axiom, % 166.36/166.18 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 166.36/166.18 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2)) % 166.36/166.18 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 166.36/166.18 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__Cons2,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 => ~ ! [B_x,B_xs] : % 166.36/166.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2)) % 166.36/166.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__subset,axiom, % 166.36/166.18 ! [V_A_2,V_r_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lists__UNIV,axiom, % 166.36/166.18 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lists__mono,axiom, % 166.36/166.18 ! [V_B_2,V_A_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_equiv__listrel,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.18 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__refl__on,axiom, % 166.36/166.18 ! [V_r_2,V_A_2,T_b] : % 166.36/166.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.18 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_Cons__in__lists__iff,axiom, % 166.36/166.18 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2))) % 166.36/166.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lists__accD,axiom, % 166.36/166.18 ! [V_r_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lists__accI,axiom, % 166.36/166.18 ! [V_r_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_listrel__iff__nth,axiom, % 166.36/166.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 166.36/166.18 & ! [B_n] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexord__linear,axiom, % 166.36/166.18 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.36/166.18 ( ! [B_a,B_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2)) % 166.36/166.18 | B_a = B_b % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) ) % 166.36/166.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.18 | V_x_2 = V_y_2 % 166.36/166.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nth__Cons__Suc,axiom, % 166.36/166.18 ! [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) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nth__Cons__0,axiom, % 166.36/166.18 ! [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 ). % 166.36/166.18 % 166.36/166.18 fof(fact_list__eq__iff__nth__eq,axiom, % 166.36/166.18 ! [T_b,V_ys_2,V_xs_2] : % 166.36/166.18 ( V_xs_2 = V_ys_2 % 166.36/166.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 166.36/166.18 & ! [B_i] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.18 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_infinite__UNIV__listI,axiom, % 166.36/166.18 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nth_Osimps,axiom, % 166.36/166.18 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nth__Cons_H,axiom, % 166.36/166.18 ! [V_xs,V_x,T_a,V_n] : % 166.36/166.18 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 166.36/166.18 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => 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))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_nth__Cons__number__of,axiom, % 166.36/166.18 ! [V_xs,V_x,T_a,V_v] : % 166.36/166.18 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => 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 ) % 166.36/166.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.18 => 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))) ) ) ). % 166.36/166.18 % 166.36/166.18 fof(fact_lexord__take__index__conv,axiom, % 166.36/166.18 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))) % 166.36/166.18 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 ) % 166.36/166.18 | ? [B_i] : % 166.36/166.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))) % 166.36/166.18 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 166.36/166.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__irreflexive,axiom, % 166.36/166.19 ! [V_y_2,V_r_2,T_b] : % 166.36/166.19 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) % 166.36/166.19 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__all,axiom, % 166.36/166.19 ! [V_n,V_xs,T_a] : % 166.36/166.19 ( 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)) % 166.36/166.19 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__take,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n,V_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__upt__eq__take,axiom, % 166.36/166.19 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__take,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__take,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Suc__Cons,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_finite__lists__length__le,axiom, % 166.36/166.19 ! [V_n_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__sublist,axiom, % 166.36/166.19 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_finite__set,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__take__subset,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__takeD,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Oset_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__ConsD,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) % 166.36/166.19 => ( V_y_2 = V_x_2 % 166.36/166.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__sublistD,axiom, % 166.36/166.19 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_notin__set__sublistI,axiom, % 166.36/166.19 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublists__powset,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__subset__Cons,axiom, % 166.36/166.19 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__sublist__subset,axiom, % 166.36/166.19 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_card__length,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_all__set__conv__all__nth,axiom, % 166.36/166.19 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.19 ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.19 <=> ! [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__take__subset__set__take,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__size__estimation,axiom, % 166.36/166.19 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__size__estimation_H,axiom, % 166.36/166.19 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__lists__conv__set,axiom, % 166.36/166.19 ! [V_A_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__pos__if__in__set,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__mem,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__conv__nth,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 <=> ? [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists__eq__set,axiom, % 166.36/166.19 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__conv__nth,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_finite__lists__length__eq,axiom, % 166.36/166.19 ! [V_n_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel__iff__zip,axiom, % 166.36/166.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.19 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 166.36/166.19 & ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__n__lists,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__zip,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__zip,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__Cons__Cons,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__eq__iff__zip__eq,axiom, % 166.36/166.19 ! [T_b,V_ys_2,V_xs_2] : % 166.36/166.19 ( V_xs_2 = V_ys_2 % 166.36/166.19 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 166.36/166.19 & ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__zipE,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 166.36/166.19 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__zip__rightD,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__zip__leftD,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__same,axiom, % 166.36/166.19 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2)))) % 166.36/166.19 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 & V_a_2 = V_b_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__zip,axiom, % 166.36/166.19 ! [V_ys,T_b,V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( 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))) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__n__lists__elem,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)))) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__n__lists,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__zip,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_product__list__set,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_greaterThanLessThan__upto,axiom, % 166.36/166.19 ! [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)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_atLeastAtMost__upto,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__upto,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_atLeastLessThan__upto,axiom, % 166.36/166.19 ! [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)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_greaterThanAtMost__upto,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__list__def,axiom, % 166.36/166.19 ! [V_l_2] : % 166.36/166.19 ( c_List_Onat__list(V_l_2) % 166.36/166.19 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__setsum__nth,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 166.36/166.19 ! [V_ns_2] : % 166.36/166.19 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.36/166.19 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__simps_I2_J,axiom, % 166.36/166.19 ! [V_xs,V_x,T_a] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_a) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_elem__le__listsum__nat,axiom, % 166.36/166.19 ! [V_ns,V_k] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__size__pointwise,axiom, % 166.36/166.19 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 166.36/166.19 ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__take,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__butlastD,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__butlast,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__butlast,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__conv__take,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__update__nat,axiom, % 166.36/166.19 ! [V_n,V_ns,V_k] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__take__lemma,axiom, % 166.36/166.19 ! [V_ys,V_xs,T_a,V_k] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( 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))) % 166.36/166.19 => ( ! [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 166.36/166.19 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 166.36/166.19 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__beyond,axiom, % 166.36/166.19 ! [V_x,V_i,V_xs,T_a] : % 166.36/166.19 ( 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)) % 166.36/166.19 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__list__update__neq,axiom, % 166.36/166.19 ! [V_x,V_xs,T_a,V_j,V_i] : % 166.36/166.19 ( V_i != V_j % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__id,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__list__update,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__code_I3_J,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__code_I2_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__overwrite,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__swap,axiom, % 166.36/166.19 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 166.36/166.19 ( V_i != V_i_H % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_update__zip,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__update,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__update__subsetI,axiom, % 166.36/166.19 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__update__subset__insert,axiom, % 166.36/166.19 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__list__update,axiom, % 166.36/166.19 ! [V_x,V_j,V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( ( V_i = V_j % 166.36/166.19 => 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 ) % 166.36/166.19 & ( V_i != V_j % 166.36/166.19 => 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) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__same__conv,axiom, % 166.36/166.19 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 166.36/166.19 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__list__update__eq,axiom, % 166.36/166.19 ! [V_x,V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__update__memI,axiom, % 166.36/166.19 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__list__update,axiom, % 166.36/166.19 ! [V_x,V_xs,T_a,V_k] : % 166.36/166.19 ( ( 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)) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( 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)) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel1__iff__update,axiom, % 166.36/166.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.19 <=> ? [B_y,B_n] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 166.36/166.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__list__update,axiom, % 166.36/166.19 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__n__lists,axiom, % 166.36/166.19 ! [V_n,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__zipI1,axiom, % 166.36/166.19 ! [V_ys,T_b,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__zipI2,axiom, % 166.36/166.19 ! [V_xs,T_b,V_ys,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__sublistI,axiom, % 166.36/166.19 ! [V_I_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__product,axiom, % 166.36/166.19 ! [V_ys,T_b,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__upto,axiom, % 166.36/166.19 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__take,axiom, % 166.36/166.19 ! [V_i,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 166.36/166.19 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_card__distinct,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__card,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__conv__nth,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 <=> ! [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ! [B_j] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ( B_i != B_j % 166.36/166.19 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__eq__iff__index__eq,axiom, % 166.36/166.19 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 166.36/166.19 <=> V_i_2 = V_j_2 ) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__listsum__conv__Setsum,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nitpick_Ocard_H__def,axiom, % 166.36/166.19 ! [V_A_2,T_b] : % 166.36/166.19 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__remove1__eq,axiom, % 166.36/166.19 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__remove1,axiom, % 166.36/166.19 ! [V_x,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__idem,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_notin__set__remove1,axiom, % 166.36/166.19 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__remove1,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 166.36/166.19 ( V_a_2 != V_b_2 % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2)))) % 166.36/166.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs,T_a,V_y,V_x] : % 166.36/166.19 ( ( V_x = V_y % 166.36/166.19 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 166.36/166.19 & ( V_x != V_y % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__commute,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__remove1__subset,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__remove1,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sorted__list__of__set__remove,axiom, % 166.36/166.19 ! [V_x_2,V_A_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Cons__number__of,axiom, % 166.36/166.19 ! [V_xs,V_x,T_a,V_v] : % 166.36/166.19 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists_ONil,axiom, % 166.36/166.19 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel__Nil1,axiom, % 166.36/166.19 ! [V_r_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.19 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel__Nil2,axiom, % 166.36/166.19 ! [V_r_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 166.36/166.19 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__butlast,axiom, % 166.36/166.19 ! [T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__empty,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__Nil,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip_Osimps_I1_J,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osize_I1_J,axiom, % 166.36/166.19 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sorted__list__of__set__empty,axiom, % 166.36/166.19 ! [T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__nil,axiom, % 166.36/166.19 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrelp_Oequations_I1_J,axiom, % 166.36/166.19 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrelp_ONil,axiom, % 166.36/166.19 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_product_Osimps_I1_J,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upto__empty,axiom, % 166.36/166.19 ! [V_i,V_j] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 166.36/166.19 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osimps_I2_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osimps_I3_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublists_Osimps_I1_J,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Nil,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__eq__Nil,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__0,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_n__lists__Nil,axiom, % 166.36/166.19 ! [T_a,V_n] : % 166.36/166.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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))) ) % 166.36/166.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_n__lists_Osimps_I1_J,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Oset_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__empty2,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__empty,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_x,T_a,V_xs] : % 166.36/166.19 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 166.36/166.19 & ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__0__conv,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osize_I3_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__simps_I1_J,axiom, % 166.36/166.19 ! [T_a] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_a) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__code_I1_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update_Osimps_I1_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__nonempty,axiom, % 166.36/166.19 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__greater__0__conv,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__1__Cons,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_not__listrel1__Nil,axiom, % 166.36/166.19 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_not__Nil__listrel1,axiom, % 166.36/166.19 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel_ONil,axiom, % 166.36/166.19 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__Nil__right,axiom, % 166.36/166.19 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nil__notin__lex,axiom, % 166.36/166.19 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nil2__notin__lex,axiom, % 166.36/166.19 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Cons,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upto_Osimps,axiom, % 166.36/166.19 ! [V_j,V_i] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.36/166.19 => 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)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.36/166.19 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__singleton,axiom, % 166.36/166.19 ! [V_x_2,T_b,V_A_2] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 166.36/166.19 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 166.36/166.19 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists__empty,axiom, % 166.36/166.19 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Cons_H,axiom, % 166.36/166.19 ! [V_xs,V_x,T_a,V_n] : % 166.36/166.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upto__rec__number__of,axiom, % 166.36/166.19 ! [V_n,V_m] : % 166.36/166.19 ( ( 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))) % 166.36/166.19 => 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))) ) % 166.36/166.19 & ( ~ 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))) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel__Nil,axiom, % 166.36/166.19 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__Cons__sing__Nil,axiom, % 166.36/166.19 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upto_Opsimps,axiom, % 166.36/166.19 ! [V_j_2,V_i_2] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 166.36/166.19 => 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)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 166.36/166.19 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select,axiom, % 166.36/166.19 ! [V_s_2,T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listset_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__Cons,axiom, % 166.36/166.19 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osimps_I5_J,axiom, % 166.36/166.19 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list_Osimps_I4_J,axiom, % 166.36/166.19 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 166.36/166.19 % 166.36/166.19 fof(fact_listset_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__Cons1,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upto_Opinduct,axiom, % 166.36/166.19 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( ! [B_i,B_j] : % 166.36/166.19 ( 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))) % 166.36/166.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 166.36/166.19 => 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)) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_anamorph_Osimps,axiom, % 166.36/166.19 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 166.36/166.19 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.19 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) ) % 166.36/166.19 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.19 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__Cons,axiom, % 166.36/166.19 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_snoc__listrel1__snoc__iff,axiom, % 166.36/166.19 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.19 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.19 & V_x_2 = V_y_2 ) % 166.36/166.19 | ( V_xs_2 = V_ys_2 % 166.36/166.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__eq__Cons__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 166.36/166.19 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 166.36/166.19 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 166.36/166.19 | ? [B_ys_H] : % 166.36/166.19 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 166.36/166.19 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Cons__eq__append__conv,axiom, % 166.36/166.19 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 166.36/166.19 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 166.36/166.19 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 166.36/166.19 | ? [B_ys_H] : % 166.36/166.19 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 166.36/166.19 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append1__eq__conv,axiom, % 166.36/166.19 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 166.36/166.19 <=> ( V_xs_2 = V_ys_2 % 166.36/166.19 & V_x_2 = V_y_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__Cons,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Cons__eq__appendI,axiom, % 166.36/166.19 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 166.36/166.19 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 166.36/166.19 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 166.36/166.19 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__in__lists__conv,axiom, % 166.36/166.19 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 166.36/166.19 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 166.36/166.19 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__eq__appendI,axiom, % 166.36/166.19 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 166.36/166.19 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 166.36/166.19 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__same__eq,axiom, % 166.36/166.19 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2) % 166.36/166.19 <=> V_ys_2 = V_zs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_same__append__eq,axiom, % 166.36/166.19 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2) % 166.36/166.19 <=> V_ys_2 = V_zs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__eq__append__conv2,axiom, % 166.36/166.19 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2) % 166.36/166.19 <=> ? [B_us] : % 166.36/166.19 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 166.36/166.19 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 ) % 166.36/166.19 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 166.36/166.19 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__assoc,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__append,axiom, % 166.36/166.19 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 166.36/166.19 ( 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) % 166.36/166.19 => ( 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) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__append,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__append,axiom, % 166.36/166.19 ! [V_ys,V_xs,T_a] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_a) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__append,axiom, % 166.36/166.19 ! [V_xs,T_a,V_ys] : % 166.36/166.19 ( ( V_ys = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 166.36/166.19 & ( V_ys != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__Nil,axiom, % 166.36/166.19 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nil__is__append__conv,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.36/166.19 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.36/166.19 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__Nil2,axiom, % 166.36/166.19 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 166.36/166.19 % 166.36/166.19 fof(fact_self__append__conv,axiom, % 166.36/166.19 ! [V_ys_2,T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.36/166.19 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_self__append__conv2,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_ys_2] : % 166.36/166.19 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__is__Nil__conv,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.36/166.19 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__self__conv,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 166.36/166.19 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__self__conv2,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_eq__Nil__appendI,axiom, % 166.36/166.19 ! [T_a,V_ys,V_xs] : % 166.36/166.19 ( V_xs = V_ys % 166.36/166.19 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__append__length,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__append__length__plus,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__append,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__append1,axiom, % 166.36/166.19 ! [V_x,V_ys,V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__length,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__butlast__appendI,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 166.36/166.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__snoc,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__listrel1I,axiom, % 166.36/166.19 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.19 & V_us_2 = V_vs_2 ) % 166.36/166.19 | ( V_xs_2 = V_ys_2 % 166.36/166.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__append__leftI,axiom, % 166.36/166.19 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 166.36/166.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 166.36/166.19 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__append,axiom, % 166.36/166.19 ! [V_ys,V_xs,T_a,V_n] : % 166.36/166.19 ( ( 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))) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( ~ 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))) % 166.36/166.19 => 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))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__update__append,axiom, % 166.36/166.19 ! [V_x,V_ys,V_xs,T_a,V_n] : % 166.36/166.19 ( ( 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))) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( ~ 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))) % 166.36/166.19 => 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)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__append,axiom, % 166.36/166.19 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel1I,axiom, % 166.36/166.19 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 166.36/166.19 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 166.36/166.19 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__append__left__rightI,axiom, % 166.36/166.19 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Suc__conv__app__nth,axiom, % 166.36/166.19 ! [V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listrel1E,axiom, % 166.36/166.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 166.36/166.19 => ~ ! [B_x,B_y] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 166.36/166.19 => ! [B_us,B_vs] : % 166.36/166.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 166.36/166.19 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__append__leftD,axiom, % 166.36/166.19 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 166.36/166.19 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate1__def,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upd__conv__take__nth__drop,axiom, % 166.36/166.19 ! [V_a,V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__take__drop__id,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Suc__Cons,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__1__Cons,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__via__drop,axiom, % 166.36/166.19 ! [V_ys,V_y,V_xs,V_n,T_a] : % 166.36/166.19 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 166.36/166.19 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__drop,axiom, % 166.36/166.19 ! [V_i,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct1__rotate,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 166.36/166.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__zip,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__drop,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__0,axiom, % 166.36/166.19 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__drop,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__take,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__set__dropD,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__rotate1,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__drop__subset,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__rotate1,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__drop,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_butlast__drop,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__butlast,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Nil,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate1__is__Nil__conv,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__drop__subset__set__drop,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__all,axiom, % 166.36/166.19 ! [V_n,V_xs,T_a] : % 166.36/166.19 ( 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)) % 166.36/166.19 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__eq__Nil,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__append,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__eq__conv__conj,axiom, % 166.36/166.19 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 166.36/166.19 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 166.36/166.19 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Cons,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Cons_H,axiom, % 166.36/166.19 ! [V_xs,V_x,T_a,V_n] : % 166.36/166.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__drop,axiom, % 166.36/166.19 ! [V_xs,T_a,V_i,V_n] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__eq__append__conv__if,axiom, % 166.36/166.19 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 166.36/166.19 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 166.36/166.19 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 166.36/166.19 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 166.36/166.19 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 166.36/166.19 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__drop_H,axiom, % 166.36/166.19 ! [V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__simps,axiom, % 166.36/166.19 ! [V_xs,V_x,T_b,T_a] : % 166.36/166.19 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 166.36/166.19 & 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Cons__number__of,axiom, % 166.36/166.19 ! [V_xs,V_x,T_a,V_v] : % 166.36/166.19 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__add,axiom, % 166.36/166.19 ! [V_xs,T_a,V_j,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate1__length01,axiom, % 166.36/166.19 ! [V_xs,T_a] : % 166.36/166.19 ( 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))) % 166.36/166.19 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__append2,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__append1,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_id__take__nth__drop,axiom, % 166.36/166.19 ! [V_xs,T_a,V_i] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__hd__drop,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n] : % 166.36/166.19 ( 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))) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__drop__conv__nth,axiom, % 166.36/166.19 ! [V_n,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => ( 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))) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd_Osimps,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__append2,axiom, % 166.36/166.19 ! [V_ys,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__append,axiom, % 166.36/166.19 ! [V_ys,T_a,V_xs] : % 166.36/166.19 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.36/166.19 => 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) ) % 166.36/166.19 & ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__in__set,axiom, % 166.36/166.19 ! [T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__conv__nth,axiom, % 166.36/166.19 ! [T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate1__hd__tl,axiom, % 166.36/166.19 ! [T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__rotate__conv__nth,axiom, % 166.36/166.19 ! [V_n,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__tl,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl__drop,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl_Osimps_I2_J,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__tl,axiom, % 166.36/166.19 ! [V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__rotate,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 166.36/166.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__add,axiom, % 166.36/166.19 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__rotate,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate0,axiom, % 166.36/166.19 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__rotate,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__rotate,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__is__Nil__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : % 166.36/166.19 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate1__rotate__swap,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__def,axiom, % 166.36/166.19 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl__append2,axiom, % 166.36/166.19 ! [V_ys,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__tl,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__conv__mod,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__Suc,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__Suc,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__id,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n] : % 166.36/166.19 ( 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) % 166.36/166.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__length01,axiom, % 166.36/166.19 ! [V_n,V_xs,T_a] : % 166.36/166.19 ( 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))) % 166.36/166.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__tl,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_tl__take,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__Suc,axiom, % 166.36/166.19 ! [V_n,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__drop__take,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_fold1__set,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.36/166.19 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__append__rightI,axiom, % 166.36/166.19 ! [V_r_2,V_x_2,T_b,V_y_2] : % 166.36/166.19 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__Nil,axiom, % 166.36/166.19 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ). % 166.36/166.19 % 166.36/166.19 fof(fact_start__le__sum,axiom, % 166.36/166.19 ! [V_ns_2,V_n_2,V_m_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__absorb0,axiom, % 166.36/166.19 ! [V_zs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_b) % 166.36/166.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__assoc,axiom, % 166.36/166.19 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 166.36/166.19 ( class_Groups_Osemigroup__add(T_b) % 166.36/166.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__Cons,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__foldl,axiom, % 166.36/166.19 ! [T_b] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_b) % 166.36/166.19 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sum__eq__0__conv,axiom, % 166.36/166.19 ! [V_ns_2,V_m_2] : % 166.36/166.19 ( 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) % 166.36/166.19 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.19 & ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.36/166.19 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 166.36/166.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.36/166.19 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Sup__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.19 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Inf__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.19 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Sup__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Lattices_Olattice(T_b) % 166.36/166.19 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Inf__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Lattices_Olattice(T_b) % 166.36/166.19 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Min__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Max__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_min__max_OInf__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_min__max_OSup__fin__set__fold,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_SUPR__set__fold,axiom, % 166.36/166.19 ! [V_f_2,V_xs_2,T_c,T_b] : % 166.36/166.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_INFI__set__fold,axiom, % 166.36/166.19 ! [V_f_2,V_xs_2,T_c,T_b] : % 166.36/166.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_elem__le__sum,axiom, % 166.36/166.19 ! [V_ns_2,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sorted__list__of__set__insert,axiom, % 166.36/166.19 ! [V_x_2,V_A_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lexord__Nil__left,axiom, % 166.36/166.19 ! [V_r_2,V_y_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.19 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__key_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_x_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__key_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__insort,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__key__left__comm,axiom, % 166.36/166.19 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__left__comm,axiom, % 166.36/166.19 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_fun__left__comm__insort,axiom, % 166.36/166.19 ! [T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__insort,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__insort,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__not__Nil,axiom, % 166.36/166.19 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__insort,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2))) % 166.36/166.19 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__insert__insort__key,axiom, % 166.36/166.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 166.36/166.19 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__insert__insort,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__insort__insert,axiom, % 166.36/166.19 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__insert__triv,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__insort__insert,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_insort__insert__key__triv,axiom, % 166.36/166.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 166.36/166.19 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__list__update,axiom, % 166.36/166.19 ! [V_x,V_k,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => ( ( 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)) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 166.36/166.19 & ( 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)) % 166.36/166.19 => 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) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__conv__nth,axiom, % 166.36/166.19 ! [T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__appendL,axiom, % 166.36/166.19 ! [V_xs,T_a,V_ys] : % 166.36/166.19 ( V_ys = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__appendR,axiom, % 166.36/166.19 ! [V_xs,T_a,V_ys] : % 166.36/166.19 ( V_ys != c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__append,axiom, % 166.36/166.19 ! [V_xs,T_a,V_ys] : % 166.36/166.19 ( ( V_ys = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 166.36/166.19 & ( V_ys != c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__ConsL,axiom, % 166.36/166.19 ! [V_x,T_a,V_xs] : % 166.36/166.19 ( V_xs = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__ConsR,axiom, % 166.36/166.19 ! [V_x,T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last_Osimps,axiom, % 166.36/166.19 ! [V_x,T_a,V_xs] : % 166.36/166.19 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 166.36/166.19 & ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__in__set,axiom, % 166.36/166.19 ! [T_b,V_as_2] : % 166.36/166.19 ( V_as_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__snoc,axiom, % 166.36/166.19 ! [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 ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__drop,axiom, % 166.36/166.19 ! [V_xs,T_a,V_n] : % 166.36/166.19 ( 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))) % 166.36/166.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__butlast__last__id,axiom, % 166.36/166.19 ! [T_a,V_xs] : % 166.36/166.19 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.19 => 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 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_snoc__eq__iff__butlast,axiom, % 166.36/166.19 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 166.36/166.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2 % 166.36/166.19 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 166.36/166.19 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists_Osimps,axiom, % 166.36/166.19 ! [V_A_2,V_a_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 166.36/166.19 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 166.36/166.19 | ? [B_a,B_l] : % 166.36/166.19 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 166.36/166.19 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.36/166.19 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select__weigth__select,axiom, % 166.36/166.19 ! [T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__mapI,axiom, % 166.36/166.19 ! [V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.19 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_last__map,axiom, % 166.36/166.19 ! [V_f_2,T_c,T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_rotate__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__tl,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__is__Nil__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nil__is__map__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__update,axiom, % 166.36/166.19 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__subtractf,axiom, % 166.36/166.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( class_Groups_Oab__group__add(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__mult__const,axiom, % 166.36/166.19 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( class_Rings_Osemiring__0(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__const__mult,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 166.36/166.19 ( class_Rings_Osemiring__0(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__0,axiom, % 166.36/166.19 ! [V_xs_2,T_c,T_b] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__addf,axiom, % 166.36/166.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__butlast,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__eq__imp__length__eq,axiom, % 166.36/166.19 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__eq__conv,axiom, % 166.36/166.19 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 166.36/166.19 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_take__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__injective,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 166.36/166.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.19 => V_xs_2 = V_ys_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__map__eq__map,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.19 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 166.36/166.19 <=> V_xs_2 = V_ys_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__ident,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__same__conv__map,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__map__map,axiom, % 166.36/166.19 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__map1,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__zip__map,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__zip__map2,axiom, % 166.36/166.19 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__map2,axiom, % 166.36/166.19 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__map,axiom, % 166.36/166.19 ! [V_f_2,T_c,T_b,V_xs_2] : % 166.36/166.19 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.19 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__fun__upd,axiom, % 166.36/166.19 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 166.36/166.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__map,axiom, % 166.36/166.19 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__inj__on,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 166.36/166.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2))) % 166.36/166.19 => V_xs_2 = V_ys_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__on__map__eq__map,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 166.36/166.19 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 166.36/166.19 <=> V_xs_2 = V_ys_2 ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__size__map,axiom, % 166.36/166.19 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Omap_Ocomp,axiom, % 166.36/166.19 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__comp__map,axiom, % 166.36/166.19 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Omap_Ocompositionality,axiom, % 166.36/166.19 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__map,axiom, % 166.36/166.19 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Omap_Oid,axiom, % 166.36/166.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_List_Omap_Oidentity,axiom, % 166.36/166.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 166.36/166.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 166.36/166.19 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__abs,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_uminus__listsum__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( class_Groups_Oab__group__add(T_b) % 166.36/166.19 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__map,axiom, % 166.36/166.19 ! [V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 166.36/166.19 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__mapD,axiom, % 166.36/166.19 ! [V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 166.36/166.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 166.36/166.19 ! [V_f_2,V_xs_2,T_b,T_c] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__triv,axiom, % 166.36/166.19 ! [V_xs_2,V_r_2,T_c,T_b] : % 166.36/166.19 ( class_Rings_Osemiring__1(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_product_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__map__remove1,axiom, % 166.36/166.19 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_inj__on__mapI,axiom, % 166.36/166.19 ! [V_A_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 166.36/166.19 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nitpick_Osetsum_H__def,axiom, % 166.36/166.19 ! [V_f_2,V_A_2,T_b,T_c] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.19 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_pick__same,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_l_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublists_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_less__code__numeral__code,axiom, % 166.36/166.19 ! [V_m_2,V_n_2] : % 166.36/166.19 ( 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))) % 166.36/166.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_one__code__numeral__def,axiom, % 166.36/166.19 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 166.36/166.19 ! [V_m_2,V_n_2] : % 166.36/166.19 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 166.36/166.19 <=> V_n_2 = V_m_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_times__code__numeral__code,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 166.36/166.19 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zero__code__numeral__def,axiom, % 166.36/166.19 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_code__numeral_Oof__nat__inject,axiom, % 166.36/166.19 ! [V_y_2,V_x_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.19 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 166.36/166.19 <=> V_x_2 = V_y_2 ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__fst__zip,axiom, % 166.36/166.19 ! [V_ys_2,T_c,V_xs_2,T_b] : % 166.36/166.19 ( 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) % 166.36/166.19 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__snd__zip,axiom, % 166.36/166.19 ! [V_ys_2,T_c,V_xs_2,T_b] : % 166.36/166.19 ( 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) % 166.36/166.19 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_number__of__code__numeral__def,axiom, % 166.36/166.19 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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__map__fst__snd,axiom, % 166.36/166.19 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ). % 166.36/166.19 % 166.36/166.19 fof(fact_plus__code__numeral__code,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_less__eq__code__numeral__code,axiom, % 166.36/166.19 ! [V_m_2,V_n_2] : % 166.36/166.19 ( 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))) % 166.36/166.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__set__sublists,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_pick__member,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_i_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_zip__eq__conv,axiom, % 166.36/166.19 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.36/166.19 ( 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) % 166.36/166.19 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 166.36/166.19 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2 % 166.36/166.19 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__size__conv__listsum,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_code__numeral__not__eq__zero,axiom, % 166.36/166.19 ! [V_i_2] : % 166.36/166.19 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.36/166.19 <=> 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 166.36/166.19 ! [V_j_2,V_i_2,V_f_2,T_b] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 166.36/166.19 ! [V_l_2,V_k_2,V_f_2,T_b] : % 166.36/166.19 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select__weight__member,axiom, % 166.36/166.19 ! [V_s_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select__weight__def,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select__def,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_subtract__code__numeral__code,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of__inverse,axiom, % 166.36/166.19 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 166.36/166.19 % 166.36/166.19 fof(fact_of__nat__nat__of,axiom, % 166.36/166.19 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of__of__nat,axiom, % 166.36/166.19 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 166.36/166.19 % 166.36/166.19 fof(fact_times__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 166.36/166.19 ! [V_l_2,V_k_2] : % 166.36/166.19 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 166.36/166.19 <=> V_k_2 = V_l_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_code__numeral_Onat__of__inject,axiom, % 166.36/166.19 ! [V_y_2,V_x_2] : % 166.36/166.19 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 166.36/166.19 <=> V_x_2 = V_y_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_type__definition__code__numeral,axiom, % 166.36/166.19 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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_less__code__numeral__def,axiom, % 166.36/166.19 ! [V_m_2,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 166.36/166.19 <=> 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of,axiom, % 166.36/166.19 ! [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)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of__number,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_int__of__def,axiom, % 166.36/166.19 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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_less__eq__code__numeral__def,axiom, % 166.36/166.19 ! [V_m_2,V_n_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 166.36/166.19 <=> 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of__code,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nat__of__aux__def,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Suc__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_minus__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_of__nat__inverse,axiom, % 166.36/166.19 ! [V_y_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.19 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_plus__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_div__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_subtract__code__numeral__def,axiom, % 166.36/166.19 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 166.36/166.19 % 166.36/166.19 fof(fact_minus__code__numeral__code,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_mod__code__numeral__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_code__numeral__decr,axiom, % 166.36/166.19 ! [V_k] : % 166.36/166.19 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsum__mono,axiom, % 166.36/166.19 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 166.36/166.19 ( ( class_Groups_Omonoid__add(T_c) % 166.36/166.19 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 166.36/166.19 => ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition__set,axiom, % 166.36/166.19 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 166.36/166.19 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 166.36/166.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists__Int__eq,axiom, % 166.36/166.19 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp_ONil,axiom, % 166.36/166.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp_Oequations_I1_J,axiom, % 166.36/166.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_in__listsp__conv__set,axiom, % 166.36/166.19 ! [V_xs_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp__inf__eq,axiom, % 166.36/166.19 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp__infI,axiom, % 166.36/166.19 ! [V_B_2,V_l_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 166.36/166.19 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp__conj__eq,axiom, % 166.36/166.19 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 166.36/166.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 166.36/166.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp_Oequations_I2_J,axiom, % 166.36/166.19 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 166.36/166.19 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 166.36/166.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_append__in__listsp__conv,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 166.36/166.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 166.36/166.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp__mono,axiom, % 166.36/166.19 ! [V_B_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition__P,axiom, % 166.36/166.19 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 166.36/166.19 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 166.36/166.19 => ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.19 & ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 166.36/166.19 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_listsp__lists__eq,axiom, % 166.36/166.19 ! [V_x_2,V_A_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 166.36/166.19 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_lists__IntI,axiom, % 166.36/166.19 ! [V_B_2,V_A_2,V_l_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 166.36/166.19 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__def,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 <=> ( 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) % 166.36/166.19 & ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_all__nth__imp__all__set,axiom, % 166.36/166.19 ! [V_x_2,V_P_2,V_xs_2,T_b] : % 166.36/166.19 ( ! [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__map1,axiom, % 166.36/166.19 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 166.36/166.19 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__map2,axiom, % 166.36/166.19 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 166.36/166.19 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__append,axiom, % 166.36/166.19 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.36/166.19 ( 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) % 166.36/166.19 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 166.36/166.19 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__appendI,axiom, % 166.36/166.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) % 166.36/166.19 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__dropI,axiom, % 166.36/166.19 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__Cons,axiom, % 166.36/166.19 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 166.36/166.19 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 166.36/166.19 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__eq,axiom, % 166.36/166.19 ! [T_b,V_ys_2,V_xs_2] : % 166.36/166.19 ( V_xs_2 = V_ys_2 % 166.36/166.19 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__takeI,axiom, % 166.36/166.19 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__lengthD,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => 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) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__Nil,axiom, % 166.36/166.19 ! [V_ys_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2) % 166.36/166.19 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__Nil2,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c)) % 166.36/166.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__conv__all__nth,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 <=> ( 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) % 166.36/166.19 & ! [B_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__nthD,axiom, % 166.36/166.19 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__nthD2,axiom, % 166.36/166.19 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 166.36/166.19 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__update__cong,axiom, % 166.36/166.19 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2__update__cong2,axiom, % 166.36/166.19 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.19 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 166.36/166.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_list__all2I,axiom, % 166.36/166.19 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.19 ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) % 166.36/166.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 166.36/166.19 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 166.36/166.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 166.36/166.19 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.36/166.19 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__remdups,axiom, % 166.36/166.19 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__remdups__leq,axiom, % 166.36/166.19 ! [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))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__remdups,axiom, % 166.36/166.19 ! [V_x,V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => 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)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__eq__nil__iff,axiom, % 166.36/166.19 ! [V_x_2,T_b] : % 166.36/166.19 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__eq__nil__right__iff,axiom, % 166.36/166.19 ! [V_x_2,T_b] : % 166.36/166.19 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 166.36/166.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__remdups__eq,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 166.36/166.19 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__remdups,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__remdups,axiom, % 166.36/166.19 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__remdups__id,axiom, % 166.36/166.19 ! [V_xs,T_a] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.19 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__id__iff__distinct,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 166.36/166.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__map__remdups,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__remdups__card__conv,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__remdups__concat,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat_Osimps_I2_J,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__conv__foldl,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__conv__concat,axiom, % 166.36/166.19 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__sort,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 166.36/166.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat_Osimps_I1_J,axiom, % 166.36/166.19 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__sort,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__sort,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sort__key__simps_I1_J,axiom, % 166.36/166.19 ! [V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__eq__Nil__conv,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : % 166.36/166.19 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 166.36/166.19 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_Nil__eq__concat__conv,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : % 166.36/166.19 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 166.36/166.19 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_map__concat,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__concat,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__concat,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sort__key__simps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__append,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sort__foldl__insort,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Orderings_Olinorder(T_b) % 166.36/166.19 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__injective,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 166.36/166.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 166.36/166.19 => ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 166.36/166.19 => V_xs_2 = V_ys_2 ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__eq__concat__iff,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.19 ( ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 166.36/166.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 166.36/166.19 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 166.36/166.19 <=> V_xs_2 = V_ys_2 ) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_concat__map__singleton,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_n__lists_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Osimps_I3_J,axiom, % 166.36/166.19 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__aux__filter__head,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__concat,axiom, % 166.36/166.19 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__sort,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__insort__triv,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] : % 166.36/166.19 ( class_Orderings_Olinorder(T_c) % 166.36/166.19 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.19 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Osimps_I1_J,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__empty__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.19 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__filter__le,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sum__length__filter__compl,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__is__subset,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__id__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.19 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2 % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__filter,axiom, % 166.36/166.19 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remove1__filter__not,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.19 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.19 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__remove1,axiom, % 166.36/166.19 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.19 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.19 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.19 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__append,axiom, % 166.36/166.19 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__filter,axiom, % 166.36/166.19 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition__filter1,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition__filter2,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_remdups__filter,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Osimps_I2_J,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_nth__transpose,axiom, % 166.36/166.19 ! [V_xs_2,T_b,V_i_2] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 166.36/166.19 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__map__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__filter,axiom, % 166.36/166.19 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__filter__map,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__filter__less,axiom, % 166.36/166.19 ! [V_P_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.19 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_partition__filter__conv,axiom, % 166.36/166.19 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__minus__filter__out,axiom, % 166.36/166.19 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_filter__in__sublist,axiom, % 166.36/166.19 ! [V_s_2,V_xs_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.19 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__empty,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.36/166.19 <=> ! [B_x] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.19 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__filter__conv__card,axiom, % 166.36/166.19 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__aux__filter__tail,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Opsimps_I3_J,axiom, % 166.36/166.19 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2))) % 166.36/166.19 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Opsimps_I2_J,axiom, % 166.36/166.19 ! [V_xss_2,T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2))) % 166.36/166.19 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__shift__lemma__Suc,axiom, % 166.36/166.19 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_select__weigth__drop__zero,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_pick__drop__zero,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose_Opsimps_I1_J,axiom, % 166.36/166.19 ! [T_b] : % 166.36/166.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b)))) % 166.36/166.19 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__max__length,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_transpose__aux__max,axiom, % 166.36/166.19 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldr_Osimps_I1_J,axiom, % 166.36/166.19 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldr_Osimps_I2_J,axiom, % 166.36/166.19 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldr__append,axiom, % 166.36/166.19 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldr__conv__foldl,axiom, % 166.36/166.19 ! [V_a_2,V_xs_2,T_b] : % 166.36/166.19 ( class_Groups_Oab__semigroup__add(T_b) % 166.36/166.19 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldr__map,axiom, % 166.36/166.19 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__foldr1,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_foldl__foldr1__lemma,axiom, % 166.36/166.19 ! [V_xs_2,V_a_2,T_b] : % 166.36/166.19 ( class_Groups_Omonoid__add(T_b) % 166.36/166.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_length__transpose,axiom, % 166.36/166.19 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__def,axiom, % 166.36/166.19 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_sublist__shift__lemma,axiom, % 166.36/166.19 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_atLeastLessThan__upt,axiom, % 166.36/166.19 ! [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)) ). % 166.36/166.19 % 166.36/166.19 fof(fact_set__upt,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_distinct__upt,axiom, % 166.36/166.19 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upt__add__eq__append,axiom, % 166.36/166.19 ! [V_k,V_j,V_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upt__Suc,axiom, % 166.36/166.19 ! [V_j,V_i] : % 166.36/166.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.19 => 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))) ) % 166.36/166.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.19 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upt__Suc__append,axiom, % 166.36/166.19 ! [V_j,V_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.19 => 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))) ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_drop__upt,axiom, % 166.36/166.19 ! [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) ). % 166.36/166.19 % 166.36/166.19 fof(fact_hd__upt,axiom, % 166.36/166.19 ! [V_j,V_i] : % 166.36/166.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.36/166.19 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 166.36/166.19 % 166.36/166.19 fof(fact_upt__rec,axiom, % 166.36/166.19 ! [V_j,V_i] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => 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)) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__conv__Cons,axiom, % 166.36/166.20 ! [V_j,V_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => 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)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_take__upt,axiom, % 166.36/166.20 ! [V_n,V_m,V_i] : % 166.36/166.20 ( 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)) % 166.36/166.20 => 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)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__list__of__set__range,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__conv__Nil,axiom, % 166.36/166.20 ! [V_i,V_j] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 166.36/166.20 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__eq__Nil__conv,axiom, % 166.36/166.20 ! [V_j_2,V_i_2] : % 166.36/166.20 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 166.36/166.20 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__0,axiom, % 166.36/166.20 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__upt,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__rec__number__of,axiom, % 166.36/166.20 ! [V_n,V_m] : % 166.36/166.20 ( ( 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))) % 166.36/166.20 => 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))) ) % 166.36/166.20 & ( ~ 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))) % 166.36/166.20 => 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) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_upt__eq__Cons__conv,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 166.36/166.20 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 166.36/166.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 166.36/166.20 & V_i_2 = V_x_2 % 166.36/166.20 & 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 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_last__upt,axiom, % 166.36/166.20 ! [V_j,V_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => 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)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__Suc__upt,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_atLeastAtMost__upt,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_atLeast__upt,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nth__upt,axiom, % 166.36/166.20 ! [V_j,V_k,V_i] : % 166.36/166.20 ( 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)) % 166.36/166.20 => 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) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_greaterThanAtMost__upt,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_greaterThanLessThan__upt,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_atMost__upto,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__nth,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 166.36/166.20 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.36/166.20 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.20 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 166.36/166.20 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.36/166.20 ( class_Groups_Ocomm__monoid__add(T_b) % 166.36/166.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nth__map__upt,axiom, % 166.36/166.20 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 166.36/166.20 ( 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))) % 166.36/166.20 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transpose__rectangle,axiom, % 166.36/166.20 ! [V_n_2,T_b,V_xs_2] : % 166.36/166.20 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.36/166.20 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.36/166.20 => ( ! [B_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 ) % 166.36/166.20 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_insort__key__remove1,axiom, % 166.36/166.20 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 166.36/166.20 ( class_Orderings_Olinorder(T_c) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 166.36/166.20 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 166.36/166.20 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted_ONil,axiom, % 166.36/166.20 ! [T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__single,axiom, % 166.36/166.20 ! [V_x,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__upt,axiom, % 166.36/166.20 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__sort,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__insort,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) % 166.36/166.20 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__tl,axiom, % 166.36/166.20 ! [V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted_Oequations_I1_J,axiom, % 166.36/166.20 ! [T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__butlast,axiom, % 166.36/166.20 ! [V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__take,axiom, % 166.36/166.20 ! [V_n,V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__upto,axiom, % 166.36/166.20 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__remove1,axiom, % 166.36/166.20 ! [V_a,V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__many__eq,axiom, % 166.36/166.20 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2))) % 166.36/166.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__many,axiom, % 166.36/166.20 ! [V_zs,V_y,V_x,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 166.36/166.20 => 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))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__drop,axiom, % 166.36/166.20 ! [V_n,V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__insort__insert,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__remdups,axiom, % 166.36/166.20 ! [V_l,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__distinct__set__unique,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 166.36/166.20 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 166.36/166.20 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 166.36/166.20 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__sort__key,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__insort__insert__key,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__map__remove1,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__insort__key,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2))) % 166.36/166.20 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__map__same,axiom, % 166.36/166.20 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__filter,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__same,axiom, % 166.36/166.20 ! [V_xs_2,V_g_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__Cons,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.36/166.20 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 & ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__append,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.36/166.20 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 166.36/166.20 & ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ! [B_xa] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_filter__insort,axiom, % 166.36/166.20 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.36/166.20 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted_Oequations_I2_J,axiom, % 166.36/166.20 ! [V_a1_2,V_a2_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 166.36/166.20 <=> ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__list__of__set,axiom, % 166.36/166.20 ! [V_A_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.20 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 166.36/166.20 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_insort__remove1,axiom, % 166.36/166.20 ! [V_xs_2,V_a_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__equals__nth__mono,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 <=> ! [B_j] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ! [B_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__nth__mono,axiom, % 166.36/166.20 ! [V_j,V_i,V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => ( 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))) % 166.36/166.20 => 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))) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__sorted__distinct__set__unique,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.36/166.20 ( class_Orderings_Olinorder(T_c) % 166.36/166.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 166.36/166.20 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 166.36/166.20 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 166.36/166.20 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 166.36/166.20 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transpose__column,axiom, % 166.36/166.20 ! [V_i_2,V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nth__nth__transpose__sorted,axiom, % 166.36/166.20 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)))) % 166.36/166.20 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inj__on__rev,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__is__Nil__conv,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.20 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Nil__is__rev__conv,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 166.36/166.20 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev_Osimps_I1_J,axiom, % 166.36/166.20 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.20 % 166.36/166.20 fof(fact_singleton__rev__conv,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2) % 166.36/166.20 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__singleton__conv,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) % 166.36/166.20 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__append,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__rev,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 166.36/166.20 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__concat,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__map,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__filter,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_zip__rev,axiom, % 166.36/166.20 ! [V_ys,T_b,V_xs,T_a] : % 166.36/166.20 ( 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) % 166.36/166.20 => 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)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__rev,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_listsum__rev,axiom, % 166.36/166.20 ! [V_xs,T_a] : % 166.36/166.20 ( class_Groups_Ocomm__monoid__add(T_a) % 166.36/166.20 => 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) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__is__rev__conv,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 166.36/166.20 <=> V_xs_2 = V_ys_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__swap,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 166.36/166.20 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__rev__ident,axiom, % 166.36/166.20 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__rev,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all2__rev1,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.20 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 166.36/166.20 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all2__rev,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 166.36/166.20 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 166.36/166.20 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_foldl__foldr,axiom, % 166.36/166.20 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_foldr__foldl,axiom, % 166.36/166.20 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev_Osimps_I2_J,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__eq__Cons__iff,axiom, % 166.36/166.20 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 166.36/166.20 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_last__rev,axiom, % 166.36/166.20 ! [T_a,V_xs] : % 166.36/166.20 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.20 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_hd__rev,axiom, % 166.36/166.20 ! [T_a,V_xs] : % 166.36/166.20 ( V_xs != c_List_Olist_ONil(T_a) % 166.36/166.20 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__transpose,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__foldl__cons,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__drop,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__take,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rotate__rev,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__nth,axiom, % 166.36/166.20 ! [V_xs,T_a,V_n] : % 166.36/166.20 ( 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))) % 166.36/166.20 => 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))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__update,axiom, % 166.36/166.20 ! [V_y,V_xs,T_a,V_k] : % 166.36/166.20 ( 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))) % 166.36/166.20 => 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) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__rev__nth__mono,axiom, % 166.36/166.20 ! [V_j,V_i,V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.36/166.20 => ( 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))) % 166.36/166.20 => 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))) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_foldr__max__sorted,axiom, % 166.36/166.20 ! [V_y_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.36/166.20 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.36/166.20 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 166.36/166.20 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.20 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__transpose__sorted,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.36/166.20 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.36/166.20 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.36/166.20 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transpose__column__length,axiom, % 166.36/166.20 ! [V_i_2,V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transpose__transpose,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 166.36/166.20 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 166.36/166.20 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__takeWhile,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__takeWhile__le,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__takeWhileD,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__eq__all__conv,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2 % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_zip__takeWhile__fst,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_zip__takeWhile__snd,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__map,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__takeWhile,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__tail,axiom, % 166.36/166.20 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.20 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile_Osimps_I2_J,axiom, % 166.36/166.20 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.20 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__eq__take,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile_Osimps_I1_J,axiom, % 166.36/166.20 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_return__list__def,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__append1,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nth__length__takeWhile,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__nth,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 166.36/166.20 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__not__last,axiom, % 166.36/166.20 ! [T_b,V_xs_2] : % 166.36/166.20 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.36/166.20 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 166.36/166.20 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 166.36/166.20 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transfer__nat__int__list__return__embed,axiom, % 166.36/166.20 ! [V_l] : % 166.36/166.20 ( c_List_Onat__list(V_l) % 166.36/166.20 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_embed__list__def,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__neq__rev,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__neq__rev,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__dropWhile__id,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__dropWhile,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__dropWhile__le,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_hd__dropWhile,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__eq__Nil__conv,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b) % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__dropWhile,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile_Osimps_I2_J,axiom, % 166.36/166.20 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.20 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile_Osimps_I1_J,axiom, % 166.36/166.20 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__map,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__append1,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__eq__Cons__conv,axiom, % 166.36/166.20 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 166.36/166.20 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 166.36/166.20 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__eq__drop,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__nth,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 166.36/166.20 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_listsum__map__filter,axiom, % 166.36/166.20 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] : % 166.36/166.20 ( class_Groups_Omonoid__add(T_c) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 166.36/166.20 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted__nth__monoI,axiom, % 166.36/166.20 ! [V_xs,T_a] : % 166.36/166.20 ( class_Orderings_Olinorder(T_a) % 166.36/166.20 => ( ! [B_i,B_j] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 166.36/166.20 => ( 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))) % 166.36/166.20 => 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))) ) ) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__eq__filter,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__eq__take__P__nth,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 166.36/166.20 ( ! [B_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 166.36/166.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__takeWhile__less__P__nth,axiom, % 166.36/166.20 ! [V_xs_2,T_b,V_P_2,V_j_2] : % 166.36/166.20 ( ! [B_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted_Osimps,axiom, % 166.36/166.20 ! [V_a_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 166.36/166.20 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 166.36/166.20 | ? [B_xs,B_x] : % 166.36/166.20 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 166.36/166.20 & ! [B_xa] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__removeAll__inj__on,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_List_Oinsert__def,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll__append,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll__id,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_insert__remdups,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll__filter__not,axiom, % 166.36/166.20 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 166.36/166.20 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll__filter__not__eq,axiom, % 166.36/166.20 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__insert,axiom, % 166.36/166.20 ! [V_x,V_xs,T_a] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__removeAll,axiom, % 166.36/166.20 ! [V_x,V_xs,T_a] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll_Osimps_I2_J,axiom, % 166.36/166.20 ! [V_xs,T_a,V_y,V_x] : % 166.36/166.20 ( ( V_x = V_y % 166.36/166.20 => 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) ) % 166.36/166.20 & ( V_x != V_y % 166.36/166.20 => 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)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_removeAll_Osimps_I1_J,axiom, % 166.36/166.20 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__remove1__removeAll,axiom, % 166.36/166.20 ! [V_x,V_xs,T_a] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.36/166.20 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__insert,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_List_Oset__insert,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_insert__Nil,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__removeAll__inj,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__removeAll,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_not__in__set__insert,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_maps__def,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_concat__map__maps,axiom, % 166.36/166.20 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_maps__simps_I2_J,axiom, % 166.36/166.20 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_maps__simps_I1_J,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_distinct__concat,axiom, % 166.36/166.20 ! [V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 166.36/166.20 => ( ! [B_ys] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 166.36/166.20 => ( ! [B_ys] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ! [B_zs] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ( B_ys != B_zs % 166.36/166.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 166.36/166.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measures__lesseq,axiom, % 166.36/166.20 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.36/166.20 ( 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))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_wf__measures,axiom, % 166.36/166.20 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__measures_I1_J,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measures__def,axiom, % 166.36/166.20 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__measures_I2_J,axiom, % 166.36/166.20 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 166.36/166.20 <=> ( 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))) % 166.36/166.20 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.36/166.20 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measures__less,axiom, % 166.36/166.20 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.36/166.20 ( 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))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_foldl__apply,axiom, % 166.36/166.20 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) ) % 166.36/166.20 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_zip__obtain__same__length,axiom, % 166.36/166.20 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.36/166.20 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__not__random__dseq__def,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_dropWhile__append2,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all2__all__nthI,axiom, % 166.36/166.20 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] : % 166.36/166.20 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 166.36/166.20 => ( ! [B_n] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 166.36/166.20 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_finite__sorted__distinct__unique,axiom, % 166.36/166.20 ! [V_A_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.20 => ? [B_x] : % 166.36/166.20 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,B_x) % 166.36/166.20 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 166.36/166.20 & ! [B_y] : % 166.36/166.20 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 166.36/166.20 & c_List_Olinorder__class_Osorted(T_b,B_y) % 166.36/166.20 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 166.36/166.20 => B_y = B_x ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_takeWhile__append2,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_insort__is__Cons,axiom, % 166.36/166.20 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 166.36/166.20 ( class_Orderings_Olinorder(T_c) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 166.36/166.20 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Cons__eq__filter__iff,axiom, % 166.36/166.20 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) % 166.36/166.20 <=> ? [B_us,B_vs] : % 166.36/166.20 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 166.36/166.20 & ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 & hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_filter__eq__Cons__iff,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] : % 166.36/166.20 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 166.36/166.20 <=> ? [B_us,B_vs] : % 166.36/166.20 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 166.36/166.20 & ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 166.36/166.20 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 & hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ball__nth,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sorted_OCons,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( class_Orderings_Olinorder(T_b) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 166.36/166.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.36/166.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__length,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ? [B_n] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__conv__decomp__first,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 <=> ? [B_ys] : % 166.36/166.20 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 166.36/166.20 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__simps_I1_J,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.36/166.20 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__rev,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.36/166.20 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__iff,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__append,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.36/166.20 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 166.36/166.20 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__simps_I2_J,axiom, % 166.36/166.20 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__conv__decomp,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__conv__decomp__last,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 <=> ? [B_ys,B_zs] : % 166.36/166.20 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 166.36/166.20 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__length,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ! [B_n] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_finite__induct,axiom, % 166.36/166.20 ! [V_P_2,V_F_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.36/166.20 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.20 => ( ! [B_x,B_F] : % 166.36/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 166.36/166.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 166.36/166.20 => ( hBOOL(hAPP(V_P_2,B_F)) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 166.36/166.20 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__simps_I1_J,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.36/166.20 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__rev,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.36/166.20 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__iff,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__append,axiom, % 166.36/166.20 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.36/166.20 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 166.36/166.20 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__simps_I2_J,axiom, % 166.36/166.20 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Ball__set__list__all,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__iff__raw,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex1__simps_I2_J,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.36/166.20 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measure__function__int,axiom, % 166.36/166.20 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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex1__simps_I1_J,axiom, % 166.36/166.20 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_is__measure_Ointros,axiom, % 166.36/166.20 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_is__measure_Oequations,axiom, % 166.36/166.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_is__measure_Osimps,axiom, % 166.36/166.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measure__size,axiom, % 166.36/166.20 ! [T_b] : % 166.36/166.20 ( class_Nat_Osize(T_b) % 166.36/166.20 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measure__snd,axiom, % 166.36/166.20 ! [T_c,V_f_2,T_b] : % 166.36/166.20 ( c_FunDef_Ois__measure(T_b,V_f_2) % 166.36/166.20 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_measure__fst,axiom, % 166.36/166.20 ! [T_c,V_f_2,T_b] : % 166.36/166.20 ( c_FunDef_Ois__measure(T_b,V_f_2) % 166.36/166.20 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex1__iff,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.20 & ! [B_y] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_y)) ) % 166.36/166.20 => B_y = B_x ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transfer__morphism__int__nat,axiom, % 166.36/166.20 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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 166.36/166.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 166.36/166.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.20 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) ) % 166.36/166.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.20 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bool_Osize_I3_J,axiom, % 166.36/166.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bool_Osize_I4_J,axiom, % 166.36/166.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 166.36/166.20 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_neg__bind__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 166.36/166.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 166.36/166.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.20 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) ) % 166.36/166.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.36/166.20 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Opos__empty__def,axiom, % 166.36/166.20 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__empty__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Opos__bind__def,axiom, % 166.36/166.20 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__bind__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_neg__map__def,axiom, % 166.36/166.20 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_neg__single__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__map__def,axiom, % 166.36/166.20 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Oneg__single__def,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__single__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Opos__single__def,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__splice,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_splice_Osimps_I3_J,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_splice_Osimps_I1_J,axiom, % 166.36/166.20 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 166.36/166.20 % 166.36/166.20 fof(fact_splice__Nil2,axiom, % 166.36/166.20 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 166.36/166.20 % 166.36/166.20 fof(fact_splice_Osimps_I2_J,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_,axiom, % 166.36/166.20 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_acyclicP__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2)))) % 166.36/166.20 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_converse__pred__comp,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep__noteq,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 166.36/166.20 <=> V_x_2 != V_y_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep__eq,axiom, % 166.36/166.20 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep__conversep,axiom, % 166.36/166.20 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep__iff,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 166.36/166.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep_Oequations,axiom, % 166.36/166.20 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 166.36/166.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep_Ointros,axiom, % 166.36/166.20 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversepD,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_converse__join,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_converse__meet,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_conversep__converse__eq,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2)) % 166.36/166.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy__list_Osimps,axiom, % 166.36/166.20 ! [V_d_2,T_b] : % 166.36/166.20 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 166.36/166.20 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_tl__replicate,axiom, % 166.36/166.20 ! [V_x,T_a,V_n] : % 166.36/166.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => 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) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy__prod__def,axiom, % 166.36/166.20 ! [V_d,T_b,T_a] : % 166.36/166.20 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 166.36/166.20 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 166.36/166.20 => 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)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__length__filter,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_length__replicate,axiom, % 166.36/166.20 ! [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 ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__replicate__const,axiom, % 166.36/166.20 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__app__Cons__same,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__Suc,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_rev__replicate,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_last__replicate,axiom, % 166.36/166.20 ! [V_x,T_a,V_n] : % 166.36/166.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_take__replicate,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_hd__replicate,axiom, % 166.36/166.20 ! [V_x,T_a,V_n] : % 166.36/166.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_drop__replicate,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_zip__replicate,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Bex__set__replicate,axiom, % 166.36/166.20 ! [V_P_2,V_a_2,V_n_2,T_b] : % 166.36/166.20 ( ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 166.36/166.20 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Ball__set__replicate,axiom, % 166.36/166.20 ! [V_P_2,V_a_2,V_n_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 166.36/166.20 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__eq__replicate,axiom, % 166.36/166.20 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 166.36/166.20 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 166.36/166.20 <=> ( V_m_2 = V_n_2 % 166.36/166.20 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => V_x_2 = V_y_2 ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nth__replicate,axiom, % 166.36/166.20 ! [V_x,T_a,V_n,V_i] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 166.36/166.20 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_append__replicate__commute,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__add,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_filter__replicate,axiom, % 166.36/166.20 ! [V_n_2,T_b,V_x_2,V_P_2] : % 166.36/166.20 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 166.36/166.20 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_concat__replicate__trivial,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__0,axiom, % 166.36/166.20 ! [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) ). % 166.36/166.20 % 166.36/166.20 fof(fact_empty__replicate,axiom, % 166.36/166.20 ! [V_x_2,V_n_2,T_b] : % 166.36/166.20 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 166.36/166.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__empty,axiom, % 166.36/166.20 ! [V_x_2,V_n_2,T_b] : % 166.36/166.20 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 166.36/166.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__replicate,axiom, % 166.36/166.20 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__replicate,axiom, % 166.36/166.20 ! [V_y_2,V_n_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2)))) % 166.36/166.20 <=> ( V_x_2 = V_y_2 % 166.36/166.20 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_replicate__append__same,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_map__replicate__trivial,axiom, % 166.36/166.20 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__replicate,axiom, % 166.36/166.20 ! [V_x_2,T_b,V_n_2] : % 166.36/166.20 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__replicate__conv__if,axiom, % 166.36/166.20 ! [V_x_2,T_b,V_n_2] : % 166.36/166.20 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 166.36/166.20 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.36/166.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_set__replicate__Suc,axiom, % 166.36/166.20 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_New__DSequence_Opos__union__def,axiom, % 166.36/166.20 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_eq__comp__r,axiom, % 166.36/166.20 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_pos__union__def,axiom, % 166.36/166.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy_H_Osimps,axiom, % 166.36/166.20 ! [V_i,V_d] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 166.36/166.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 166.36/166.20 => 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)))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy__int__def,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy_H_Opsimps,axiom, % 166.36/166.20 ! [V_i_2,V_d_2] : % 166.36/166.20 ( 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))) % 166.36/166.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 166.36/166.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 166.36/166.20 => 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)))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_field__le__epsilon,axiom, % 166.36/166.20 ! [V_y,V_x,T_a] : % 166.36/166.20 ( class_Fields_Olinordered__field(T_a) % 166.36/166.20 => ( ! [B_e] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 166.36/166.20 => 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))) ) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_small__lazy_H_Opinduct,axiom, % 166.36/166.20 ! [V_P_2,V_a1_2,V_a0_2] : % 166.36/166.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 166.36/166.20 => ( ! [B_d,B_i] : % 166.36/166.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))) % 166.36/166.20 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) ) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 166.36/166.20 ! [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))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Oinject,axiom, % 166.36/166.20 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 166.36/166.20 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2) % 166.36/166.20 <=> ( V_a_2 = V_a_H_2 % 166.36/166.20 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact__01,axiom, % 166.36/166.20 ! [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)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 166.36/166.20 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_size__code,axiom, % 166.36/166.20 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence__size__code,axiom, % 166.36/166.20 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_seq__case,axiom, % 166.36/166.20 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_yieldn__def,axiom, % 166.36/166.20 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 166.36/166.20 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_refl__on__INTER,axiom, % 166.36/166.20 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.36/166.20 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 166.36/166.20 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_in__set__member,axiom, % 166.36/166.20 ! [V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_member__rec_I2_J,axiom, % 166.36/166.20 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_member__set,axiom, % 166.36/166.20 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_member__rec_I1_J,axiom, % 166.36/166.20 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2)) % 166.36/166.20 <=> ( V_x_2 = V_y_2 % 166.36/166.20 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_List_Omember__def,axiom, % 166.36/166.20 ! [V_x_2,V_xs_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 166.36/166.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pair__box_Osize_I1_J,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex1__iff__raw,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.20 & ! [B_y] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_y)) ) % 166.36/166.20 => B_y = B_x ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pair__box_Oinject,axiom, % 166.36/166.20 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.36/166.20 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2) % 166.36/166.20 <=> ( V_a_2 = V_a_H_2 % 166.36/166.20 & V_b_2 = V_b_H_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pair__box_Osize_I2_J,axiom, % 166.36/166.20 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pair__box_Osimps_I2_J,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_pair__box_Orecs,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_THE__default__def,axiom, % 166.36/166.20 ! [V_d_2,T_b,V_P_2] : % 166.36/166.20 ( ( ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.20 & ! [B_y] : % 166.36/166.20 ( hBOOL(hAPP(V_P_2,B_y)) % 166.36/166.20 => B_y = B_x ) ) % 166.36/166.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) ) % 166.36/166.20 & ( ~ ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(V_P_2,B_x)) % 166.36/166.20 & ! [B_y] : % 166.36/166.20 ( hBOOL(hAPP(V_P_2,B_y)) % 166.36/166.20 => B_y = B_x ) ) % 166.36/166.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_setsum__UNION__zero,axiom, % 166.36/166.20 ! [V_f_2,V_S_2,T_b,T_c] : % 166.36/166.20 ( class_Groups_Ocomm__monoid__add(T_c) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 166.36/166.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 166.36/166.20 => ( ! [B_T1] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 166.36/166.20 => ! [B_T2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 166.36/166.20 => ( B_T1 != B_T2 % 166.36/166.20 => ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 166.36/166.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 166.36/166.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_INF2__I,axiom, % 166.36/166.20 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 166.36/166.20 ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 166.36/166.20 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_SUP2__E,axiom, % 166.36/166.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 166.36/166.20 => ~ ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.20 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_finite__maxlen,axiom, % 166.36/166.20 ! [V_M_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 166.36/166.20 => ? [B_n] : % 166.36/166.20 ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 166.36/166.20 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 166.36/166.20 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact__02,axiom, % 166.36/166.20 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 166.36/166.20 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 166.36/166.20 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 166.36/166.20 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__all__iff__all__interval__int,axiom, % 166.36/166.20 ! [V_j_2,V_i_2,V_P_2] : % 166.36/166.20 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 166.36/166.20 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 166.36/166.20 ! [V_j_2,V_i_2,V_P_2] : % 166.36/166.20 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 166.36/166.20 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_all__interval__int__def,axiom, % 166.36/166.20 ! [V_j_2,V_i_2,V_P_2] : % 166.36/166.20 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_code__numeral_Orecs_I2_J,axiom, % 166.36/166.20 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Random_Osimps,axiom, % 166.36/166.20 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 166.36/166.20 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 166.36/166.20 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_code__numeral_Orecs_I1_J,axiom, % 166.36/166.20 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_Random__Sequence_Oempty__def,axiom, % 166.36/166.20 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Random__Sequence_Osingle__def,axiom, % 166.36/166.20 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Random__Sequence_Omap__def,axiom, % 166.36/166.20 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_exE__realizer,axiom, % 166.36/166.20 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 166.36/166.20 => ( ! [B_x,B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x)) % 166.36/166.20 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 166.36/166.20 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Image__Collect__split,axiom, % 166.36/166.20 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lexord__trans,axiom, % 166.36/166.20 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) % 166.36/166.20 => ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__less__than,axiom, % 166.36/166.20 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__lex__prod,axiom, % 166.36/166.20 ! [V_R2_2,T_c,V_R1_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_R1_2) % 166.36/166.20 => ( c_Relation_Otrans(T_c,V_R2_2) % 166.36/166.20 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transD,axiom, % 166.36/166.20 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__def,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 <=> ! [B_x,B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 166.36/166.20 => ! [B_z] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__inv__image,axiom, % 166.36/166.20 ! [V_f_2,T_c,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__reflclI,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_SUPR__bool__eq,axiom, % 166.36/166.20 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bex__UNIV,axiom, % 166.36/166.20 ! [V_P_2,T_b] : % 166.36/166.20 ( ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__rtrancl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lexord__transI,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__Id__on,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trancl__id,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__trancl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__Id,axiom, % 166.36/166.20 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__finite__psubset,axiom, % 166.36/166.20 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bex__empty,axiom, % 166.36/166.20 ! [V_P_2,T_b] : % 166.36/166.20 ~ ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_listrel__trans,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.20 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_finite__Collect__bex,axiom, % 166.36/166.20 ! [V_Q_2,T_c,V_A_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2))))) % 166.36/166.20 <=> ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.36/166.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__Int,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Otrans(T_b,V_s_2) % 166.36/166.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__O__subset,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Union__eq,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_UN__eq,axiom, % 166.36/166.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Bex__set__list__ex,axiom, % 166.36/166.20 ! [V_P_2,V_xs_2,T_b] : % 166.36/166.20 ( ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) % 166.36/166.20 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_list__ex__iff__raw,axiom, % 166.36/166.20 ! [V_xs_2,V_P_2,T_b] : % 166.36/166.20 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 166.36/166.20 <=> ? [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.36/166.20 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_INT__eq,axiom, % 166.36/166.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Sup__apply,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,T_c,T_b] : % 166.36/166.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.20 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Sup__fun__def,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,T_c,T_b] : % 166.36/166.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.20 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Inf__apply,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,T_c,T_b] : % 166.36/166.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.20 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_Inf__fun__def,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,T_c,T_b] : % 166.36/166.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.36/166.20 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_max__extp_Ointros,axiom, % 166.36/166.20 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 166.36/166.20 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 166.36/166.20 => ? [B_xa] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 166.36/166.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 166.36/166.20 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transp__def,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Predicate_Otransp(T_b,V_r_2) % 166.36/166.20 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_transpE,axiom, % 166.36/166.20 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 166.36/166.20 ( c_Predicate_Otransp(T_b,V_r_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivpE,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.20 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 166.36/166.20 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivpI,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Predicate_Oreflp(T_b,V_R_2) % 166.36/166.20 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 => ( c_Predicate_Otransp(T_b,V_R_2) % 166.36/166.20 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sympE,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.36/166.20 ( c_Predicate_Osymp(T_b,V_r_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivp__reflp__symp__transp,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.20 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 166.36/166.20 & c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_max__extp_Osimps,axiom, % 166.36/166.20 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 166.36/166.20 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 166.36/166.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.36/166.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.36/166.20 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 & ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.36/166.20 => ? [B_xa] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.36/166.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_trans__diff__Id,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Oantisym(T_b,V_r_2) % 166.36/166.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__empty,axiom, % 166.36/166.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__Id__on,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__Id,axiom, % 166.36/166.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__subset,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 166.36/166.20 => ( c_Relation_Oantisym(T_b,V_s_2) % 166.36/166.20 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisymD,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Oantisym(T_b,V_r_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) % 166.36/166.20 => V_a_2 = V_b_2 ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__def,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Oantisym(T_b,V_r_2) % 166.36/166.20 <=> ! [B_x,B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 166.36/166.20 => B_x = B_y ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_antisym__reflcl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 166.36/166.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.36/166.20 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_fun__lub__def,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__trans__comp__subset,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_symD,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__def,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 <=> ! [B_x,B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__inv__image,axiom, % 166.36/166.20 ! [V_f_2,T_c,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Un__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__rtrancl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Id__on,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__trancl,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Un,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Osym(T_b,V_s_2) % 166.36/166.20 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Id,axiom, % 166.36/166.20 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_listrel__sym,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__conv__converse__eq,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.36/166.20 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Int,axiom, % 166.36/166.20 ! [V_s_2,V_r_2,T_b] : % 166.36/166.20 ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Osym(T_b,V_s_2) % 166.36/166.20 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_sym__Int__converse,axiom, % 166.36/166.20 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equiv__def,axiom, % 166.36/166.20 ! [V_r_2,V_A_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.20 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.20 & c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivI,axiom, % 166.36/166.20 ! [V_r_2,V_A_2,T_b] : % 166.36/166.20 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.20 => ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ( c_Relation_Otrans(T_b,V_r_2) % 166.36/166.20 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivE,axiom, % 166.36/166.20 ! [V_r_2,V_A_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.36/166.20 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.36/166.20 => ( c_Relation_Osym(T_b,V_r_2) % 166.36/166.20 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_symp__def,axiom, % 166.36/166.20 ! [V_r_2,T_b] : % 166.36/166.20 ( c_Predicate_Osymp(T_b,V_r_2) % 166.36/166.20 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivpI,axiom, % 166.36/166.20 ! [T_b,V_R_2] : % 166.36/166.20 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.36/166.20 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 => ( c_Predicate_Otransp(T_b,V_R_2) % 166.36/166.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivp__refl__symp__transp,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.36/166.20 & c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_equivp__implies__part__equivp,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.36/166.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivp__transp,axiom, % 166.36/166.20 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivp__symp,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.36/166.20 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivp__def,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.36/166.20 & ! [B_x,B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 166.36/166.20 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.36/166.20 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 166.36/166.20 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivpE,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.36/166.20 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.36/166.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_part__equivp__typedef,axiom, % 166.36/166.20 ! [V_R_2,T_b] : % 166.36/166.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.36/166.20 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__o__cancel,axiom, % 166.36/166.20 ! [V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inj__iff,axiom, % 166.36/166.20 ! [V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__id,axiom, % 166.36/166.20 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ). % 166.36/166.20 % 166.36/166.20 fof(fact_f__inv__into__f,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.36/166.20 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__into,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__injective,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 166.36/166.20 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.36/166.20 => V_x_2 = V_y_2 ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_image__surj__f__inv__f,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_surj__f__inv__f,axiom, % 166.36/166.20 ! [V_y_2,V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_surj__iff__all,axiom, % 166.36/166.20 ! [V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_image__inv__into__cancel,axiom, % 166.36/166.20 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__def,axiom, % 166.36/166.20 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__def,axiom, % 166.36/166.20 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__f__eq,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__f__f,axiom, % 166.36/166.20 ! [V_x_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__f__eq,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.20 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__f__f,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inj__imp__surj__inv,axiom, % 166.36/166.20 ! [V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_image__inv__f__f,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__image__comp,axiom, % 166.36/166.20 ! [V_X_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_surj__imp__inj__inv,axiom, % 166.36/166.20 ! [V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__image__cancel,axiom, % 166.36/166.20 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 166.36/166.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inj__on__inv__into,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.36/166.20 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_o__inv__o__cancel,axiom, % 166.36/166.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__comp,axiom, % 166.36/166.20 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 166.36/166.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_surj__iff,axiom, % 166.36/166.20 ! [V_f_2,T_b,T_c] : % 166.36/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 166.36/166.20 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inj__transfer,axiom, % 166.36/166.20 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => ( ! [B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 166.36/166.20 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_fold__image__UN__disjoint,axiom, % 166.36/166.20 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 166.36/166.20 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.36/166.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 166.36/166.20 => ( ! [B_x] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.36/166.20 => ! [B_xa] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 166.36/166.20 => ( B_x != B_xa % 166.36/166.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) % 166.36/166.20 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nat__of__induct,axiom, % 166.36/166.20 ! [V_P_2,V_y_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.20 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_nat__of__cases,axiom, % 166.36/166.20 ! [V_y_2] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.20 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_of__nat__cases,axiom, % 166.36/166.20 ! [V_x_2] : % 166.36/166.20 ~ ! [B_y] : % 166.36/166.20 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 166.36/166.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_of__nat__induct,axiom, % 166.36/166.20 ! [V_x_2,V_P_2] : % 166.36/166.20 ( ! [B_y] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.36/166.20 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 166.36/166.20 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 166.36/166.20 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_beyond__def,axiom, % 166.36/166.20 ! [V_l,V_k] : % 166.36/166.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.36/166.20 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 166.36/166.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.36/166.20 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_beyond__zero,axiom, % 166.36/166.20 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 166.36/166.20 % 166.36/166.20 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 166.36/166.20 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__image__Collect__eq,axiom, % 166.36/166.20 ! [V_P_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_P_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curry__def,axiom, % 166.36/166.20 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curryI,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 166.36/166.20 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 166.36/166.20 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__id,axiom, % 166.36/166.20 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__into__inv__into__eq,axiom, % 166.36/166.20 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.36/166.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__inv__into,axiom, % 166.36/166.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 166.36/166.20 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__imp__bij__inv,axiom, % 166.36/166.20 ! [V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_inv__inv__eq,axiom, % 166.36/166.20 ! [V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_o__inv__distrib,axiom, % 166.36/166.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.36/166.20 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__comp__iff2,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 166.36/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2)) % 166.36/166.20 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 166.36/166.20 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__trans,axiom, % 166.36/166.20 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 166.36/166.20 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 166.36/166.20 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__comp__iff,axiom, % 166.36/166.20 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 166.36/166.20 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 166.36/166.20 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__comp,axiom, % 166.36/166.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 166.36/166.20 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curryE,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 166.36/166.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curryD,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 166.36/166.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curry__conv,axiom, % 166.36/166.20 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ). % 166.36/166.20 % 166.36/166.20 fof(fact_curry__split,axiom, % 166.36/166.20 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_split__curry,axiom, % 166.36/166.20 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__image__INT,axiom, % 166.36/166.20 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__image__Compl__eq,axiom, % 166.36/166.20 ! [V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_finite__vimage__iff,axiom, % 166.36/166.20 ! [V_F_2,V_h_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.36/166.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 166.36/166.20 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 166.36/166.20 % 166.36/166.20 fof(fact_bij__betw__combine,axiom, % 166.36/166.20 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.36/166.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 166.36/166.20 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 166.36/166.20 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 166.36/166.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ). % 166.36/166.20 % 166.36/166.20 %----Arity declarations (218) % 166.36/166.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 166.36/166.20 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 166.36/166.20 % 166.36/166.20 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 166.36/166.20 ! [T_2,T_1] : % 166.36/166.20 ( class_Lattices_Obounded__lattice(T_1) % 166.36/166.20 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 166.36/166.20 % 166.36/166.20 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 166.36/166.20 ! [T_2,T_1] : % 166.36/166.20 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 166.36/166.20 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 166.36/166.20 % 166.36/166.20 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Obounded__lattice(T_1) % 166.45/166.20 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Obounded__lattice(T_1) % 166.45/166.20 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Olattice(T_1) % 166.45/166.20 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Olattice(T_1) % 166.45/166.20 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Odistrib__lattice(T_1) % 166.45/166.20 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Oboolean__algebra(T_1) % 166.45/166.20 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Orderings_Opreorder,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Orderings_Opreorder(T_1) % 166.45/166.20 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Finite__Set_Ofinite,axiom, % 166.45/166.20 ! [T_1,T_2] : % 166.45/166.20 ( ( class_Finite__Set_Ofinite(T_2) % 166.45/166.20 & class_Finite__Set_Ofinite(T_1) ) % 166.45/166.20 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Lattices_Olattice,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Lattices_Olattice(T_1) % 166.45/166.20 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Orderings_Oorder,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Orderings_Oorder(T_1) % 166.45/166.20 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Orderings_Otop,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Orderings_Otop(T_1) % 166.45/166.20 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Orderings_Oord,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Orderings_Oord(T_1) % 166.45/166.20 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Orderings_Obot,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Orderings_Obot(T_1) % 166.45/166.20 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Groups_Ouminus,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Groups_Ouminus(T_1) % 166.45/166.20 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Groups_Ominus,axiom, % 166.45/166.20 ! [T_2,T_1] : % 166.45/166.20 ( class_Groups_Ominus(T_1) % 166.45/166.20 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_fun__Enum_Oenum,axiom, % 166.45/166.20 ! [T_1,T_2] : % 166.45/166.20 ( ( class_Enum_Oenum(T_2) % 166.45/166.20 & class_Enum_Oenum(T_1) ) % 166.45/166.20 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Com__Ocom__Nat_Osize,axiom, % 166.45/166.20 class_Nat_Osize(tc_Com_Ocom) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 166.45/166.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.45/166.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 166.45/166.20 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 166.45/166.20 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 166.45/166.20 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 166.45/166.20 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 166.45/166.20 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 166.45/166.20 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 166.45/166.20 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 166.45/166.20 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 166.45/166.20 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 166.45/166.20 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 166.45/166.20 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 166.45/166.20 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 166.45/166.20 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 166.45/166.20 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 166.45/166.20 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 166.45/166.20 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 166.45/166.20 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 166.45/166.20 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 166.45/166.20 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 166.45/166.20 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 166.45/166.20 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 166.45/166.20 class_Divides_Osemiring__div(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 166.45/166.20 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 166.45/166.20 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 166.45/166.20 class_Groups_Oab__group__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 166.45/166.20 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 166.45/166.20 class_Rings_Oordered__ring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 166.45/166.20 class_Orderings_Opreorder(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 166.45/166.20 class_Orderings_Olinorder(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 166.45/166.20 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 166.45/166.20 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 166.45/166.20 class_Groups_Omonoid__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 166.45/166.20 class_Rings_Osemiring__1(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 166.45/166.20 class_Rings_Osemiring__0(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 166.45/166.20 class_Lattices_Olattice(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 166.45/166.20 class_Groups_Ogroup__add(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 166.45/166.20 class_Divides_Oring__div(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 166.45/166.20 class_Rings_Omult__zero(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 166.45/166.20 class_Orderings_Oorder(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 166.45/166.20 class_Int_Oring__char__0(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 166.45/166.20 class_Int_Onumber__ring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 166.45/166.20 class_Rings_Osemiring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Orderings_Oord,axiom, % 166.45/166.20 class_Orderings_Oord(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 166.45/166.20 class_Groups_Ouminus(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 166.45/166.20 class_Groups_Osgn__if(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 166.45/166.20 class_Groups_Oabs__if(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 166.45/166.20 class_Rings_Oring__1(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ominus,axiom, % 166.45/166.20 class_Groups_Ominus(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Power_Opower,axiom, % 166.45/166.20 class_Power_Opower(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Ozero,axiom, % 166.45/166.20 class_Groups_Ozero(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oring,axiom, % 166.45/166.20 class_Rings_Oring(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Rings_Oidom,axiom, % 166.45/166.20 class_Rings_Oidom(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Int_Onumber,axiom, % 166.45/166.20 class_Int_Onumber(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Int__Oint__Groups_Oone,axiom, % 166.45/166.20 class_Groups_Oone(tc_Int_Oint) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 166.45/166.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.45/166.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 166.45/166.20 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 166.45/166.20 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 166.45/166.20 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 166.45/166.20 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 166.45/166.20 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 166.45/166.20 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 166.45/166.20 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 166.45/166.20 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 166.45/166.20 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 166.45/166.20 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 166.45/166.20 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 166.45/166.20 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 166.45/166.20 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 166.45/166.20 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 166.45/166.20 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 166.45/166.20 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 166.45/166.20 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 166.45/166.20 class_Orderings_Owellorder(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 166.45/166.20 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 166.45/166.20 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 166.45/166.20 class_Orderings_Opreorder(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 166.45/166.20 class_Orderings_Olinorder(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 166.45/166.20 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 166.45/166.20 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 166.45/166.20 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 166.45/166.20 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 166.45/166.20 class_Lattices_Olattice(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 166.45/166.20 class_Rings_Omult__zero(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 166.45/166.20 class_Orderings_Oorder(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 166.45/166.20 class_Rings_Osemiring(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 166.45/166.20 class_Orderings_Oord(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 166.45/166.20 class_Orderings_Obot(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 166.45/166.20 class_Groups_Ominus(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Power_Opower,axiom, % 166.45/166.20 class_Power_Opower(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 166.45/166.20 class_Groups_Ozero(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Int_Onumber,axiom, % 166.45/166.20 class_Int_Onumber(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Groups_Oone,axiom, % 166.45/166.20 class_Groups_Oone(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_Nat__Onat__Nat_Osize,axiom, % 166.45/166.20 class_Nat_Osize(tc_Nat_Onat) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 166.45/166.20 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 166.45/166.20 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 166.45/166.20 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 166.45/166.20 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 166.45/166.20 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 166.45/166.20 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 166.45/166.20 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 166.45/166.20 class_Orderings_Opreorder(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 166.45/166.20 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 166.45/166.20 class_Lattices_Olattice(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 166.45/166.20 class_Orderings_Oorder(tc_HOL_Obool) ). % 166.45/166.20 % 166.45/166.20 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 166.45/166.20 class_Orderings_Otop(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 166.45/166.21 class_Orderings_Oord(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 166.45/166.21 class_Orderings_Obot(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 166.45/166.21 class_Groups_Ouminus(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 166.45/166.21 class_Groups_Ominus(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 166.45/166.21 class_Enum_Oenum(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_HOL__Obool__Nat_Osize,axiom, % 166.45/166.21 class_Nat_Osize(tc_HOL_Obool) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Com__Ostate__Nat_Osize,axiom, % 166.45/166.21 class_Nat_Osize(tc_Com_Ostate) ). % 166.45/166.21 % 166.45/166.21 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 166.45/166.21 ! [T_1] : % 166.45/166.21 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 166.45/166.21 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_List__Olist__Nat_Osize,axiom, % 166.45/166.21 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_sum__Finite__Set_Ofinite,axiom, % 166.45/166.21 ! [T_1,T_2] : % 166.45/166.21 ( ( class_Finite__Set_Ofinite(T_2) % 166.45/166.21 & class_Finite__Set_Ofinite(T_1) ) % 166.45/166.21 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_sum__Enum_Oenum,axiom, % 166.45/166.21 ! [T_1,T_2] : % 166.45/166.21 ( ( class_Enum_Oenum(T_2) % 166.45/166.21 & class_Enum_Oenum(T_1) ) % 166.45/166.21 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_sum__Nat_Osize,axiom, % 166.45/166.21 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 166.45/166.21 ! [T_1] : % 166.45/166.21 ( class_Finite__Set_Ofinite(T_1) % 166.45/166.21 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 166.45/166.21 ! [T_1] : % 166.45/166.21 ( class_Enum_Oenum(T_1) % 166.45/166.21 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Option__Ooption__Nat_Osize,axiom, % 166.45/166.21 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 166.45/166.21 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 166.45/166.21 ! [T_1,T_2] : % 166.45/166.21 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 166.45/166.21 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 166.45/166.21 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_prod__Finite__Set_Ofinite,axiom, % 166.45/166.21 ! [T_1,T_2] : % 166.45/166.21 ( ( class_Finite__Set_Ofinite(T_2) % 166.45/166.21 & class_Finite__Set_Ofinite(T_1) ) % 166.45/166.21 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_prod__Enum_Oenum,axiom, % 166.45/166.21 ! [T_1,T_2] : % 166.45/166.21 ( ( class_Enum_Oenum(T_2) % 166.45/166.21 & class_Enum_Oenum(T_1) ) % 166.45/166.21 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 166.45/166.21 % 166.45/166.21 fof(arity_prod__Nat_Osize,axiom, % 166.45/166.21 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 166.45/166.21 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 166.45/166.21 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 166.45/166.21 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 166.45/166.21 class_Nat_Osize(tc_Product__Type_Ounit) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 166.45/166.21 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 166.45/166.21 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.45/166.21 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.45/166.21 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 166.45/166.21 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 166.45/166.21 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 166.45/166.21 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 166.45/166.21 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 166.45/166.21 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 166.45/166.21 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 166.45/166.21 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 166.45/166.21 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 166.45/166.21 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 166.45/166.21 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 166.45/166.21 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 166.45/166.21 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 166.45/166.21 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 166.45/166.21 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 166.45/166.21 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 166.45/166.21 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 166.45/166.21 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 166.45/166.21 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 166.45/166.21 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 166.45/166.21 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 166.45/166.21 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 166.45/166.21 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 166.45/166.21 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 166.45/166.21 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 166.45/166.21 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 166.45/166.21 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 166.45/166.21 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 166.45/166.21 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 166.45/166.21 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 166.45/166.21 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 166.45/166.21 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 166.45/166.21 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 166.45/166.21 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 166.45/166.21 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 166.45/166.21 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 166.45/166.21 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 166.45/166.21 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 166.45/166.21 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 166.45/166.21 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 166.45/166.21 % 166.45/166.21 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 166.45/166.21 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 166.45/166.21 % 166.45/166.21 %----Helper facts (20) % 166.45/166.21 fof(help_c__COMBI__1,axiom, % 166.45/166.21 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 166.45/166.21 % 166.45/166.21 fof(help_c__COMBK__1,axiom, % 166.45/166.21 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 166.45/166.21 % 166.45/166.21 fof(help_c__COMBB__1,axiom, % 166.45/166.21 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__COMBC__1,axiom, % 166.45/166.21 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__COMBS__1,axiom, % 166.45/166.21 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fequal__1,axiom, % 166.45/166.21 ! [V_y_2,V_x_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 166.45/166.21 | V_x_2 = V_y_2 ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fequal__2,axiom, % 166.45/166.21 ! [V_y_2,V_x_2] : % 166.45/166.21 ( V_x_2 != V_y_2 % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fFalse__1,axiom, % 166.45/166.21 ~ hBOOL(c_fFalse) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fTrue__1,axiom, % 166.45/166.21 hBOOL(c_fTrue) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fNot__1,axiom, % 166.45/166.21 ! [V_P_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 166.45/166.21 | ~ hBOOL(V_P_2) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fNot__2,axiom, % 166.45/166.21 ! [V_P_2] : % 166.45/166.21 ( ~ ~ hBOOL(V_P_2) % 166.45/166.21 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fconj__1,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(V_P_2) % 166.45/166.21 | ~ hBOOL(V_Q_2) % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fconj__2,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 166.45/166.21 | hBOOL(V_P_2) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fconj__3,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 166.45/166.21 | hBOOL(V_Q_2) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fdisj__1,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(V_P_2) % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fdisj__2,axiom, % 166.45/166.21 ! [V_P_2,V_Q_2] : % 166.45/166.21 ( ~ hBOOL(V_Q_2) % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fdisj__3,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 166.45/166.21 | hBOOL(V_P_2) % 166.45/166.21 | hBOOL(V_Q_2) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fimplies__1,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( hBOOL(V_P_2) % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fimplies__2,axiom, % 166.45/166.21 ! [V_P_2,V_Q_2] : % 166.45/166.21 ( ~ hBOOL(V_Q_2) % 166.45/166.21 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 166.45/166.21 % 166.45/166.21 fof(help_c__fimplies__3,axiom, % 166.45/166.21 ! [V_Q_2,V_P_2] : % 166.45/166.21 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 166.45/166.21 | ~ hBOOL(V_P_2) % 166.45/166.21 | hBOOL(V_Q_2) ) ). % 166.45/166.21 % 166.45/166.21 %----Conjectures (4) % 166.45/166.21 fof(conj_0,hypothesis, % 166.45/166.21 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_G),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)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),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)),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)),v_Procs)) ). % 166.45/166.21 % 166.45/166.21 fof(conj_1,hypothesis, % 166.45/166.21 ! [B_G] : % 166.45/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),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)),c_Com_Ocom_OBODY)),v_Q)),v_Procs))),B_G)) % 166.45/166.21 => c_Hoare__Mirabelle_Ohoare__derivs(t_a,B_G,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)),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)),v_Procs)) ) ). % 166.45/166.21 % 166.45/166.21 fof(conj_2,hypothesis, % 166.45/166.21 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)) ). % 166.45/166.21 % 166.45/166.21 fof(conj_3,conjecture, % 166.45/166.21 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)) ). % 166.45/166.21 % 166.45/166.21 %------------------------------------------------------------------------------ % 166.45/166.21 %------------------------------------------- % 166.45/166.21 % Proof found % 166.45/166.21 % SZS status Theorem for theBenchmark % 166.45/166.21 % SZS output start Proof % 166.45/166.21 %ClaNum:10367(EqnAxiom:3016) % 166.45/166.21 %VarNum:70777(SingletonVarNum:20529) % 166.45/166.21 %MaxLitNum:8 % 166.45/166.21 %MaxfuncDepth:13 % 166.45/166.21 %SharedTerms:1016 % 166.45/166.21 %goalClause: 4664 % 166.45/166.21 %singleGoalClaCount:1 % 166.45/166.21 [3020]P1(a190) % 166.45/166.21 [3021]P2(a900) % 166.45/166.21 [3022]P2(a905) % 166.45/166.21 [3023]P2(a1) % 166.45/166.21 [3024]P104(a900) % 166.45/166.21 [3025]P104(a905) % 166.45/166.21 [3026]P104(a1) % 166.45/166.21 [3027]P104(a104) % 166.45/166.21 [3028]P105(a905) % 166.45/166.21 [3029]P105(a1) % 166.45/166.21 [3030]P105(a104) % 166.45/166.21 [3031]P112(a900) % 166.45/166.21 [3032]P112(a905) % 166.45/166.21 [3033]P112(a1) % 166.45/166.21 [3034]P112(a104) % 166.45/166.21 [3035]P113(a900) % 166.45/166.21 [3036]P113(a905) % 166.45/166.21 [3037]P113(a1) % 166.45/166.21 [3038]P113(a104) % 166.45/166.21 [3039]P106(a900) % 166.45/166.21 [3040]P106(a905) % 166.45/166.21 [3041]P106(a1) % 166.45/166.21 [3042]P3(a900) % 166.45/166.21 [3043]P3(a908) % 166.45/166.21 [3044]P108(a900) % 166.45/166.21 [3045]P108(a905) % 166.45/166.21 [3046]P65(a900) % 166.45/166.21 [3047]P114(a905) % 166.45/166.21 [3048]P66(a900) % 166.45/166.21 [3049]P66(a905) % 166.45/166.21 [3050]P66(a1) % 166.45/166.21 [3051]P66(a104) % 166.45/166.21 [3052]P83(a1) % 166.45/166.21 [3053]P67(a1) % 166.45/166.21 [3054]P68(a1) % 166.45/166.21 [3055]P87(a905) % 166.45/166.21 [3056]P87(a1) % 166.45/166.21 [3057]P87(a104) % 166.45/166.21 [3058]P4(a900) % 166.45/166.21 [3059]P74(a905) % 166.45/166.21 [3060]P74(a1) % 166.45/166.21 [3061]P74(a104) % 166.45/166.21 [3062]P116(a1) % 166.45/166.21 [3063]P88(a905) % 166.45/166.21 [3064]P88(a1) % 166.45/166.21 [3065]P88(a104) % 166.45/166.21 [3066]P107(a900) % 166.45/166.21 [3067]P107(a905) % 166.45/166.21 [3068]P107(a1) % 166.45/166.21 [3069]P102(a900) % 166.45/166.21 [3070]P102(a905) % 166.45/166.21 [3071]P102(a1) % 166.45/166.21 [3072]P69(a900) % 166.45/166.21 [3073]P69(a908) % 166.45/166.21 [3074]P90(a905) % 166.45/166.21 [3075]P90(a1) % 166.45/166.21 [3076]P90(a104) % 166.45/166.21 [3077]P91(a905) % 166.45/166.21 [3078]P91(a1) % 166.45/166.21 [3079]P91(a104) % 166.45/166.21 [3080]P75(a905) % 166.45/166.21 [3081]P75(a1) % 166.45/166.21 [3082]P75(a104) % 166.45/166.21 [3083]P76(a905) % 166.45/166.21 [3084]P76(a1) % 166.45/166.21 [3085]P76(a104) % 166.45/166.21 [3086]P77(a905) % 166.45/166.21 [3087]P77(a1) % 166.45/166.21 [3088]P77(a104) % 166.45/166.21 [3089]P92(a905) % 166.45/166.21 [3090]P92(a1) % 166.45/166.21 [3091]P92(a104) % 166.45/166.21 [3092]P84(a905) % 166.45/166.21 [3093]P84(a1) % 166.45/166.21 [3094]P84(a104) % 166.45/166.21 [3095]P81(a1) % 166.45/166.21 [3096]P117(a1) % 166.45/166.21 [3097]P127(a905) % 166.45/166.21 [3098]P127(a1) % 166.45/166.21 [3099]P127(a104) % 166.45/166.21 [3100]P141(a905) % 166.45/166.21 [3101]P141(a1) % 166.45/166.21 [3102]P141(a104) % 166.45/166.21 [3103]P85(a905) % 166.45/166.21 [3104]P85(a1) % 166.45/166.21 [3105]P85(a104) % 166.45/166.21 [3106]P148(a905) % 166.45/166.21 [3107]P148(a1) % 166.45/166.21 [3108]P118(a905) % 166.45/166.21 [3109]P118(a1) % 166.45/166.21 [3110]P118(a104) % 166.45/166.21 [3111]P142(a1) % 166.45/166.21 [3112]P96(a1) % 166.45/166.21 [3113]P80(a905) % 166.45/166.21 [3114]P80(a1) % 166.45/166.21 [3115]P80(a104) % 166.45/166.21 [3116]P78(a905) % 166.45/166.21 [3117]P78(a1) % 166.45/166.21 [3118]P78(a104) % 166.45/166.21 [3119]P130(a905) % 166.45/166.21 [3120]P130(a1) % 166.45/166.21 [3121]P130(a104) % 166.45/166.21 [3122]P143(a1) % 166.45/166.21 [3123]P131(a905) % 166.45/166.21 [3124]P131(a1) % 166.45/166.21 [3125]P131(a104) % 166.45/166.21 [3126]P145(a905) % 166.45/166.21 [3127]P145(a1) % 166.45/166.21 [3128]P145(a104) % 166.45/166.21 [3129]P119(a905) % 166.45/166.21 [3130]P119(a1) % 166.45/166.21 [3131]P119(a104) % 166.45/166.21 [3132]P86(a905) % 166.45/166.21 [3133]P86(a1) % 166.45/166.21 [3134]P86(a104) % 166.45/166.21 [3135]P146(a905) % 166.45/166.21 [3136]P146(a1) % 166.45/166.21 [3137]P146(a104) % 166.45/166.21 [3138]P128(a1) % 166.45/166.21 [3139]P129(a1) % 166.45/166.21 [3140]P136(a905) % 166.45/166.21 [3141]P136(a1) % 166.45/166.21 [3142]P136(a104) % 166.45/166.21 [3143]P137(a1) % 166.45/166.21 [3144]P139(a905) % 166.45/166.21 [3145]P139(a1) % 166.45/166.21 [3146]P139(a104) % 166.45/166.21 [3147]P138(a905) % 166.45/166.21 [3148]P138(a1) % 166.45/166.21 [3149]P138(a104) % 166.45/166.21 [3150]P132(a905) % 166.45/166.21 [3151]P132(a1) % 166.45/166.21 [3152]P132(a104) % 166.45/166.21 [3153]P122(a905) % 166.45/166.21 [3154]P122(a1) % 166.45/166.21 [3155]P122(a104) % 166.45/166.21 [3156]P133(a905) % 166.45/166.21 [3157]P133(a1) % 166.45/166.21 [3158]P133(a104) % 166.45/166.21 [3159]P134(a1) % 166.45/166.21 [3160]P135(a1) % 166.45/166.21 [3161]P109(a905) % 166.45/166.21 [3162]P109(a1) % 166.45/166.21 [3163]P109(a104) % 166.45/166.21 [3164]P147(a905) % 166.45/166.21 [3165]P147(a1) % 166.45/166.21 [3166]P147(a104) % 166.45/166.21 [3167]P89(a1) % 166.45/166.21 [3168]P140(a1) % 166.45/166.21 [3169]P82(a905) % 166.45/166.21 [3170]P82(a1) % 166.45/166.21 [3171]P82(a104) % 166.45/166.21 [3172]P115(a900) % 166.45/166.21 [3173]P103(a900) % 166.45/166.21 [3174]P99(a900) % 166.45/166.21 [3175]P93(a900) % 166.45/166.21 [3176]P93(a1) % 166.45/166.21 [3177]P123(a1) % 166.45/166.21 [3178]P120(a1) % 166.45/166.21 [3179]P144(a1) % 166.45/166.21 [3180]P79(a1) % 166.45/166.21 [3181]P121(a905) % 166.45/166.21 [3182]P121(a1) % 166.45/166.21 [3183]P121(a104) % 166.45/166.21 [3184]P63(a905) % 166.45/166.21 [3185]P63(a1) % 166.45/166.21 [3186]P63(a104) % 166.45/166.21 [3187]P64(a1) % 166.45/166.21 [3188]P94(a1) % 166.45/166.21 [3189]P97(a1) % 166.45/166.21 [3190]P98(a905) % 166.45/166.21 [3191]P98(a1) % 166.45/166.21 [3192]P98(a104) % 166.45/166.21 [3193]P95(a905) % 166.45/166.21 [3194]P95(a1) % 166.45/166.21 [3195]P95(a104) % 166.45/166.21 [3196]P111(a900) % 166.45/166.21 [3197]P111(a901) % 166.45/166.21 [3198]P111(a902) % 166.45/166.21 [3199]P111(a905) % 166.45/166.21 [3200]P111(a908) % 166.45/166.21 [3201]P111(a104) % 166.45/166.21 [3202]P111(a325) % 166.45/166.21 [3203]P110(a1) % 166.45/166.21 [3204]P110(a908) % 166.45/166.21 [3205]P101(a900) % 166.45/166.21 [3221]P37(a905,a245) % 166.45/166.21 [3222]P37(a905,a319) % 166.45/166.21 [3223]P38(a905,a245) % 166.45/166.21 [3305]P40(a905,a905,a117) % 166.45/166.21 [4565]~E(a102,a85) % 166.45/166.21 [4566]~P1(a244) % 166.45/166.21 [3017]E(f2(a1),a85) % 166.45/166.21 [3018]E(f105(a104),a3) % 166.45/166.21 [3019]E(f23(a104),a24) % 166.45/166.21 [3206]E(f191(a905),f2(a905)) % 166.45/166.21 [3207]E(f30(a25),f2(a905)) % 166.45/166.21 [3208]E(f106(a905),f237(a905)) % 166.45/166.21 [3209]E(f115(a905),f238(a905)) % 166.45/166.21 [3210]E(f107(a1),f33(a1)) % 166.45/166.21 [3211]E(f86(a244),f2(a905)) % 166.45/166.21 [3212]E(f86(a190),f2(a905)) % 166.45/166.21 [3213]P5(f2(a1)) % 166.45/166.21 [3214]P5(f80(a1)) % 166.45/166.21 [3271]P37(f912(a905,a905),a34) % 166.45/166.21 [3616]E(f322(a905,a905,a245,a245),a34) % 166.45/166.21 [4567]~E(f80(a1),f2(a1)) % 166.45/166.21 [3215]E(f4(f2(a104)),f2(a905)) % 166.45/166.21 [3216]E(f116(f2(a905)),f2(a905)) % 166.45/166.21 [3225]E(f329(f81(a1),a85),a85) % 166.45/166.21 [3229]E(f329(a3,f2(a905)),f2(a104)) % 166.45/166.21 [3230]E(f329(a117,f2(a905)),f80(a905)) % 166.45/166.21 [3231]E(f329(a109,f80(a1)),f80(a905)) % 166.45/166.21 [3232]E(f329(a3,f80(a905)),f80(a104)) % 166.45/166.21 [3234]E(f329(f108(a1),a85),f2(a1)) % 166.45/166.21 [3235]E(f329(f108(a104),a85),f2(a104)) % 166.45/166.21 [3236]E(f329(a109,f2(a1)),f2(a905)) % 166.45/166.21 [3237]E(f329(f192(a900),a244),f2(a905)) % 166.45/166.21 [3238]E(f329(f192(a900),a190),f2(a905)) % 166.45/166.21 [3239]E(f329(f192(a902),a25),f2(a905)) % 166.45/166.21 [3240]E(f329(f108(a905),a85),f2(a905)) % 166.45/166.21 [3246]E(f329(f81(a1),f80(a1)),a102) % 166.45/166.21 [3254]E(f329(f192(a104),f2(a104)),f2(a905)) % 166.45/166.21 [3255]E(f329(f105(a1),f2(a905)),f2(a1)) % 166.45/166.21 [3256]E(f329(f105(a1),f80(a905)),f80(a1)) % 166.45/166.21 [3257]E(f329(f81(a1),f2(a1)),f2(a1)) % 166.45/166.21 [3268]E(f329(a109,f80(a1)),f329(a117,f2(a905))) % 166.45/166.21 [3269]E(f320(f912(a905,a905),a34),a35) % 166.45/166.21 [3270]E(f321(f912(a905,a905),a34),a36) % 166.45/166.21 [3297]E(f329(f285(a905),f2(a905)),f191(f913(a905,a900))) % 166.45/166.21 [3298]E(f329(f286(a905),f2(a905)),f247(f913(a905,a900))) % 166.45/166.21 [3307]P41(f191(f913(a1,a900))) % 166.45/166.21 [3341]E(f329(f329(f23(a104),f2(a104)),f80(a104)),f2(a104)) % 166.45/166.21 [3417]P1(f329(f329(f240(a1),a102),f2(a1))) % 166.45/166.21 [3442]P1(f329(f329(f239(a1),f2(a1)),f80(a1))) % 166.45/166.21 [3443]P1(f329(f329(f240(a1),f2(a1)),f80(a1))) % 166.45/166.21 [3649]E(f329(f329(f291(a905,a905,a905),a319),f309(a905,a319)),a245) % 166.45/166.21 [3687]P43(a1,a905,a109,f329(f239(a1),f2(a1))) % 166.45/166.21 [3691]E(f329(f329(f41(a905,f913(a905,a900)),f247(f913(a905,a900))),f285(a905)),f247(f913(a905,a900))) % 166.45/166.21 [3692]E(f329(f329(f41(a905,f913(a905,a900)),f247(f913(a905,a900))),f303(a905)),f247(f913(a905,a900))) % 166.45/166.21 [3693]E(f329(f329(f41(a905,f913(a905,a900)),f247(f913(a905,a900))),f286(a905)),f247(f913(a905,a900))) % 166.45/166.21 [3694]E(f329(f329(f42(a905,f913(a905,a900)),f247(f913(a905,a900))),f306(a905)),f191(f913(a905,a900))) % 166.45/166.21 [3710]P24(a905,a1,f105(a1),f247(f913(a905,a900))) % 166.45/166.21 [3724]P43(a905,a1,f105(a1),f329(f16(a900,a905),a190)) % 166.45/166.21 [3862]E(f329(f74(a905,a104,a1,a3),a109),f108(a104)) % 166.45/166.21 [4083]P59(a104,a905,a20,a3,f247(f913(a905,a900))) % 166.45/166.21 [4090]P59(a1,f913(f912(a905,a905),a900),a112,a91,a103) % 166.45/166.21 [4343]E(f263(a1,a1,a1,a1,f33(a1),f81(a1)),a53) % 166.45/166.21 [4588]~E(f329(f108(a1),a102),f329(f108(a1),a85)) % 166.45/166.21 [4589]~P1(f329(a196,f2(a1))) % 166.45/166.21 [4590]~P1(f329(a196,f80(a1))) % 166.45/166.21 [4631]~P1(f329(f329(f240(a1),a85),f2(a1))) % 166.45/166.21 [3288]E(f329(f329(f23(a1),a102),a102),a85) % 166.45/166.21 [3304]E(f329(f105(a1),f329(a117,f2(a905))),f80(a1)) % 166.45/166.21 [3370]E(f329(f37(a908),f247(f913(a908,a900))),f80(a905)) % 166.45/166.21 [3390]P1(f329(a196,f329(f108(a1),a102))) % 166.45/166.21 [3392]P1(f329(f329(f239(a1),a102),a85)) % 166.45/166.21 [3394]P1(f329(f329(f240(a1),a102),a85)) % 166.45/166.21 [3452]E(f329(f329(f311(a905),f2(a905)),f191(f913(a905,a900))),f329(f303(a905),f2(a905))) % 166.45/166.21 [3507]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),a85))) % 166.45/166.21 [3519]E(f329(f312(a905,a905,a117),f247(f913(a905,a900))),f329(f306(a905),f2(a905))) % 166.45/166.21 [3556]P7(f912(a905,a905),f247(f913(f912(a905,a905),a900)),a113) % 166.45/166.21 [3869]E(f329(f74(a905,a1,a104,f105(a1)),a20),a22) % 166.45/166.21 [3930]P37(a905,f329(f267(f912(a905,a905)),f329(f262(a905,a905,a900),f240(a905)))) % 166.45/166.21 [4622]~P1(f329(a196,f329(f108(a1),a85))) % 166.45/166.21 [4623]~P1(f329(f329(f239(a1),a85),a102)) % 166.45/166.21 [4624]~P1(f329(f329(f240(a1),a85),a85)) % 166.45/166.21 [4625]~P1(f329(f329(f240(a1),a85),a102)) % 166.45/166.21 [4626]~P1(f329(f329(f240(a1),a102),a102)) % 166.45/166.21 [4637]~P1(f329(f63(a905),f247(f913(a905,a900)))) % 166.45/166.21 [4638]~P1(f329(f63(a1),f247(f913(a1,a900)))) % 166.45/166.21 [4509]E(f329(f262(a1,a1,a900),f329(f329(f8(f913(a1,a900),f913(a1,a900),a1),f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f240(a1),f2(a1))))),f329(f329(f7(a1,a1,f913(a1,a900)),f329(f329(f8(f913(a1,f913(a1,a900)),f913(a1,f913(a1,a900)),a1),f7(a1,a1,a900)),f329(f329(f8(f913(a1,a1),f913(a1,f913(a1,a900)),a1),f329(f8(a1,f913(a1,a900),a1),a326)),a221))),f80(a1)))),a217) % 166.45/166.21 [3591]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f81(a1),a102)) % 166.45/166.21 [3631]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f329(f23(a1),a85),a102)) % 166.45/166.21 [3742]P1(f329(f329(f239(f913(f904(a899),a900)),a914),a915)) % 166.45/166.21 [3795]E(f329(f329(f62(f912(a905,a905)),f247(f913(f912(a905,a905),a900))),a113),a103) % 166.45/166.21 [3824]E(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a1)) % 166.45/166.21 [3825]E(f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a104)) % 166.45/166.21 [3826]E(f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a905)) % 166.45/166.21 [3830]E(f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(a117,f2(a905))) % 166.45/166.21 [4211]E(f329(f329(f115(f913(f912(f912(a905,a905),f912(a905,a905)),a900)),a34),f309(f912(a905,a905),f191(f913(f912(f912(a905,a905),f912(a905,a905)),a900)))),a72) % 166.45/166.21 [4277]E(f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),f2(a905)),f2(a905))),f191(f913(f912(a905,a905),a900))))),f2(a1)) % 166.45/166.21 [4278]E(f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),f80(a905)),f2(a905))),f191(f913(f912(a905,a905),a900))))),f80(a1)) % 166.45/166.21 [4291]E(f329(f267(f912(a905,a905)),f329(f262(a905,a905,a900),f329(f329(f8(a905,f913(a905,a900),a905),f329(f7(a905,a905,a900),a326)),a117))),a319) % 166.45/166.21 [4263]E(f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(a117,f329(a117,f2(a905)))) % 166.45/166.21 [4266]E(f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(f329(f82(a905),f80(a905)),f80(a905))) % 166.45/166.21 [4267]E(f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(f37(a900),f247(f913(a900,a900)))) % 166.45/166.21 [4330]P5(f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))) % 166.45/166.21 [4399]P26(f913(f912(a905,a905),a900),f329(f329(f257(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900),f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)),a35),a73)) % 166.45/166.21 [4400]P26(f913(f912(a905,a905),a900),f329(f329(f257(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900),f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)),a36),a71)) % 166.45/166.21 [4440]E(f329(f329(f115(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)),f321(f912(a905,a905),a72)),f329(f329(f311(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f191(f913(f912(a905,a905),a900))),f191(f913(f912(a905,a905),a900)))),f191(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)))),a71) % 166.45/166.21 [4441]E(f329(f329(f115(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)),f320(f912(a905,a905),a72)),f329(f329(f311(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f191(f913(f912(a905,a905),a900))),f191(f913(f912(a905,a905),a900)))),f191(f913(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a900)))),a73) % 166.45/166.21 [4332]E(f329(a109,f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(a117,f2(a905)))) % 166.45/166.21 [4377]E(f329(f105(a1),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))) % 166.45/166.21 [4410]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.21 [4411]E(f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102)),f329(a117,f329(a117,f329(a117,f2(a905))))) % 166.45/166.21 [4455]P5(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))) % 166.45/166.21 [4664]~P23(a899,a915,f329(f312(a903,f904(a899),f329(f329(f18(a903,f913(a899,f913(a901,a900)),f904(a899)),f329(f329(f18(a903,a902,f913(f913(a899,f913(a901,a900)),f904(a899))),f329(f329(f8(f913(a899,f913(a901,a900)),f913(a902,f913(f913(a899,f913(a901,a900)),f904(a899))),a903),f93(a899)),a916)),a26)),a917)),a918)) % 166.45/166.21 [4481]E(f329(f105(a1),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))) % 166.45/166.21 [4494]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102)))) % 166.45/166.21 [4550]P23(a899,f329(f329(f115(f913(f904(a899),a900)),a914),f329(f312(a903,f904(a899),f329(f329(f18(a903,f913(a899,f913(a901,a900)),f904(a899)),f329(f329(f18(a903,a902,f913(f913(a899,f913(a901,a900)),f904(a899))),f329(f329(f8(f913(a899,f913(a901,a900)),f913(a902,f913(f913(a899,f913(a901,a900)),f904(a899))),a903),f93(a899)),a916)),a26)),a917)),a918)),f329(f312(a903,f904(a899),f329(f329(f18(a903,f913(a899,f913(a901,a900)),f904(a899)),f329(f329(f18(a903,a902,f913(f913(a899,f913(a901,a900)),f904(a899))),f329(f329(f8(f913(a899,f913(a901,a900)),f913(a902,f913(f913(a899,f913(a901,a900)),f904(a899))),a903),f93(a899)),a916)),f329(f329(f8(f909(a902),a902,a903),f236(a902)),a27))),a917)),a918)) % 166.45/166.21 [3224]P6(x32241,a326) % 166.45/166.21 [3617]P24(a905,a905,a117,x36171) % 166.45/166.21 [3217]P111(f904(x32171)) % 166.45/166.21 [3218]P111(f909(x32181)) % 166.45/166.21 [3219]P111(f906(x32191)) % 166.45/166.21 [3220]P111(f907(x32201)) % 166.45/166.21 [3241]P37(a1,f110(x32411)) % 166.45/166.21 [3242]P37(a1,f111(x32421)) % 166.45/166.21 [3293]P37(f913(x32931,a900),f316(x32931)) % 166.45/166.21 [3294]P38(f913(x32941,a900),f316(x32941)) % 166.45/166.21 [3319]E(f248(x33191,x33191,a326),a326) % 166.45/166.21 [3334]E(f47(a1,x33341,x33341),f2(a1)) % 166.45/166.21 [3387]P13(x33871,f913(x33871,a900),f311(x33871)) % 166.45/166.21 [4569]~E(f329(a26,x45691),a25) % 166.45/166.21 [4571]~E(f329(a117,x45711),x45711) % 166.45/166.21 [4581]~E(f329(a117,x45811),f2(a905)) % 166.45/166.21 [3226]E(f329(f192(a905),x32261),x32261) % 166.45/166.21 [3227]E(f329(f108(a1),x32271),x32271) % 166.45/166.21 [3243]E(f329(a91,f330(x32431)),x32431) % 166.45/166.21 [3244]E(f329(a3,f564(x32441)),x32441) % 166.45/166.21 [3245]E(f246(x32451,f2(a104)),f2(a104)) % 166.45/166.21 [3258]E(f119(x32581,f118(x32581)),f118(x32581)) % 166.45/166.21 [3259]E(f155(x32591,f118(x32591)),f118(x32591)) % 166.45/166.21 [3261]E(f30(f329(a26,x32611)),f2(a905)) % 166.45/166.21 [3265]E(f329(f170(x32651),f118(x32651)),f118(x32651)) % 166.45/166.21 [3266]E(f329(f174(x32661),f118(x32661)),f118(x32661)) % 166.45/166.21 [3267]E(f329(f171(x32671),f118(x32671)),f118(x32671)) % 166.45/166.21 [3272]E(f329(f108(a1),x32721),f329(f107(a1),x32721)) % 166.45/166.21 [3273]E(f329(a91,f329(a112,x32731)),x32731) % 166.45/166.21 [3275]E(f329(a3,f329(a20,x32751)),x32751) % 166.45/166.21 [3276]E(f329(a20,f329(a3,x32761)),x32761) % 166.45/166.21 [3277]P5(f329(f105(a1),x32771)) % 166.45/166.21 [3286]E(f329(f192(f906(x32861)),f118(x32861)),f2(a905)) % 166.45/166.21 [3287]E(f329(f192(f907(x32871)),f124(x32871)),f2(a905)) % 166.45/166.21 [3292]E(f329(f192(a902),f329(a26,x32921)),f2(a905)) % 166.45/166.21 [3310]E(f329(f329(f23(a905),x33101),f2(a905)),x33101) % 166.45/166.21 [3311]E(f329(f329(f82(a905),x33111),f2(a905)),x33111) % 166.45/166.21 [3312]E(f329(f329(f82(a1),x33121),f2(a1)),x33121) % 166.45/166.21 [3313]E(f329(f329(f83(a905),x33131),f80(a905)),x33131) % 166.45/166.21 [3314]E(f329(f329(f83(a1),x33141),f80(a1)),x33141) % 166.45/166.21 [3315]E(f329(f329(f238(a905),x33151),f2(a905)),x33151) % 166.45/166.21 [3316]E(f329(f329(f83(a905),x33161),f2(a905)),f2(a905)) % 166.45/166.21 [3317]E(f329(f329(f237(a905),x33171),f2(a905)),f2(a905)) % 166.45/166.21 [3318]E(f329(f329(f38(a1),x33181),f2(a1)),f2(a1)) % 166.45/166.21 [3325]E(f329(f175(x33251),f118(x33251)),f191(f913(x33251,a900))) % 166.45/166.21 [3329]P1(f329(f140(x33291),f118(x33291))) % 166.45/166.21 [3335]E(f329(f157(x33351,x33351),f5(x33351)),f33(f906(x33351))) % 166.45/166.21 [3336]E(f329(f157(x33361,x33361),f33(x33361)),f33(f906(x33361))) % 166.45/166.21 [3337]E(f47(a1,x33371,f2(a1)),x33371) % 166.45/166.21 [3338]E(f329(f239(a905),f329(a117,x33381)),f329(f240(a905),x33381)) % 166.45/166.21 [3339]E(f329(f285(a905),f329(a117,x33391)),f329(f303(a905),x33391)) % 166.45/166.21 [3340]E(f329(f286(a905),f329(a117,x33401)),f329(f306(a905),x33401)) % 166.45/166.21 [3342]E(f47(a1,f2(a1),x33421),f2(a1)) % 166.45/166.21 [3355]E(f329(f329(f82(a905),x33551),f80(a905)),f329(a117,x33551)) % 166.45/166.21 [3364]E(f329(f304(a905,x33641),f2(a905)),f191(f913(a905,a900))) % 166.45/166.21 [3376]E(f305(a905,f2(a905),x33761),f329(f303(a905),x33761)) % 166.45/166.21 [3420]E(f329(f329(f23(a905),f329(a117,x34201)),f80(a905)),x34201) % 166.45/166.21 [3432]E(f49(f2(a1),x34321),f329(f329(f257(a1,a1),f2(a1)),f2(a1))) % 166.45/166.21 [3482]P1(f329(f329(f240(a905),x34821),f329(a117,x34821))) % 166.45/166.21 [3494]P1(f329(f329(f240(a905),f2(a905)),f329(a117,x34941))) % 166.45/166.21 [3723]E(f94(x37231,x37231,f247(f913(x37231,a900)),f33(x37231)),f33(x37231)) % 166.45/166.21 [3781]E(f329(f329(f23(a104),f329(a3,f329(a117,f329(a20,x37811)))),f80(a104)),x37811) % 166.45/166.21 [3853]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x38531))),f2(a1))) % 166.45/166.21 [3999]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x39991)))),f2(a1))) % 166.45/166.21 [4595]~E(f247(f913(x45951,a900)),f191(f913(x45951,a900))) % 166.45/166.21 [4634]~P1(f329(f329(f240(a905),x46341),f2(a905))) % 166.45/166.21 [4647]~P1(f329(f329(f240(a1),f329(f105(a1),x46471)),f2(a1))) % 166.45/166.21 [3291]E(f182(x32911,f118(f906(x32911))),f118(f906(x32911))) % 166.45/166.21 [3295]E(f329(f329(f83(a1),a85),x32951),a85) % 166.45/166.21 [3296]E(f329(f329(f82(a1),a85),x32961),x32961) % 166.45/166.21 [3299]E(f329(a109,f329(f105(a1),x32991)),x32991) % 166.45/166.21 [3300]E(f329(f329(f23(a1),x33001),a85),x33001) % 166.45/166.21 [3301]E(f329(f329(f82(a1),x33011),a85),x33011) % 166.45/166.21 [3303]E(f329(f329(f23(a905),x33031),x33031),f2(a905)) % 166.45/166.21 [3308]E(f329(f37(a905),f329(f285(a905),x33081)),x33081) % 166.45/166.21 [3309]E(f329(f81(a1),f329(f81(a1),x33091)),x33091) % 166.45/166.21 [3320]E(f329(f329(f82(a905),f2(a905)),x33201),x33201) % 166.45/166.21 [3321]E(f329(f329(f82(a1),f2(a1)),x33211),x33211) % 166.45/166.21 [3322]E(f329(f329(f83(a905),f80(a905)),x33221),x33221) % 166.45/166.21 [3323]E(f329(f329(f83(a1),f80(a1)),x33231),x33231) % 166.45/166.21 [3324]E(f329(f329(f238(a905),f2(a905)),x33241),x33241) % 166.45/166.21 [3330]E(f329(f329(f23(a905),f2(a905)),x33301),f2(a905)) % 166.45/166.21 [3331]E(f329(f329(f83(a905),f2(a905)),x33311),f2(a905)) % 166.45/166.21 [3332]E(f329(f329(f237(a905),f2(a905)),x33321),f2(a905)) % 166.45/166.21 [3333]E(f329(f329(f38(a1),f2(a1)),x33331),f2(a1)) % 166.45/166.21 [3343]E(f132(x33431,f329(f81(a1),x33431)),f135(a1,x33431)) % 166.45/166.21 [3348]E(f329(f304(a905,f2(a905)),x33481),f329(f285(a905),x33481)) % 166.45/166.21 [3349]E(f329(f329(f83(a1),a102),x33491),f329(f81(a1),x33491)) % 166.45/166.21 [3357]E(f329(a109,f329(f108(a1),x33571)),f329(f108(a905),x33571)) % 166.45/166.21 [3358]E(f329(a20,f329(f108(a104),x33581)),f329(f108(a905),x33581)) % 166.45/166.21 [3359]E(f329(f37(a905),f329(f303(a905),x33591)),f329(a117,x33591)) % 166.45/166.21 [3368]E(f329(f329(f82(a905),f80(a905)),x33681),f329(a117,x33681)) % 166.45/166.21 [3372]E(f329(f77(a1),f329(f105(a1),x33721)),f329(f105(a1),x33721)) % 166.45/166.21 [3373]E(f329(f107(a1),f329(f105(a1),x33731)),f329(f105(a1),x33731)) % 166.45/166.21 [3377]E(f329(f37(x33771),f191(f913(x33771,a900))),f2(a905)) % 166.45/166.21 [3379]E(f329(f329(f38(a905),x33791),f329(a117,f2(a905))),x33791) % 166.45/166.21 [3388]E(f47(a905,x33881,f329(a117,f2(a905))),f2(a905)) % 166.45/166.21 [3389]E(f47(a1,x33891,f329(f108(a1),a102)),f2(a1)) % 166.45/166.21 [3403]E(f329(f329(f38(a1),x34031),f329(f108(a1),a102)),f329(f81(a1),x34031)) % 166.45/166.21 [3407]E(f142(a905,f329(f304(a905,x34071),f2(a905))),f118(a905)) % 166.45/166.21 [3408]E(f329(f329(f82(a1),x34081),f80(a1)),f329(f329(f23(a1),x34081),a102)) % 166.45/166.21 [3409]E(f329(f329(f23(a1),x34091),f80(a1)),f329(f329(f82(a1),x34091),a102)) % 166.45/166.21 [3413]P1(f329(f329(f239(a905),x34131),x34131)) % 166.45/166.21 [3414]P1(f329(f329(f239(a1),x34141),x34141)) % 166.45/166.21 [3416]P1(f329(f329(f197(a25),x34161),x34161)) % 166.45/166.21 [3421]E(f329(f81(a1),f329(f108(a1),x34211)),f329(f108(a1),f329(f81(a1),x34211))) % 166.45/166.21 [3422]P1(f329(f63(a905),f329(f285(a905),x34221))) % 166.45/166.21 [3423]P1(f329(f63(a905),f329(f303(a905),x34231))) % 166.45/166.21 [3430]E(f164(x34301,f247(f913(x34301,a900))),f247(f913(f906(x34301),a900))) % 166.45/166.21 [3435]P1(f329(f329(f239(a905),f2(a905)),x34351)) % 166.45/166.21 [3445]E(f329(f329(f82(a905),f116(x34451)),f329(a117,f2(a905))),f116(f329(a117,x34451))) % 166.45/166.21 [3446]E(f329(f267(x34461),f329(f16(a900,x34461),a244)),f191(f913(x34461,a900))) % 166.45/166.21 [3447]E(f329(f267(x34471),f329(f16(a900,x34471),a190)),f247(f913(x34471,a900))) % 166.45/166.21 [3451]E(f329(f329(f311(a905),x34511),f329(f285(a905),x34511)),f329(f285(a905),f329(a117,x34511))) % 166.45/166.21 [3463]E(f329(f329(f82(a1),f80(a1)),f329(f105(a1),x34631)),f329(f105(a1),f329(a117,x34631))) % 166.45/166.21 [3465]E(f329(f329(f154(f906(x34651)),f118(x34651)),f118(f906(x34651))),f56(x34651,f118(x34651))) % 166.45/166.21 [3485]E(f191(f913(f912(x34851,x34851),a900)),f268(x34851,f191(f913(x34851,a900)))) % 166.45/166.21 [3486]E(f329(f310(x34861),f247(f913(x34861,a900))),f247(f913(f913(x34861,a900),a900))) % 166.45/166.21 [3487]E(f329(f81(f913(x34871,a900)),f191(f913(x34871,a900))),f247(f913(x34871,a900))) % 166.45/166.21 [3488]E(f329(f81(f913(x34881,a900)),f247(f913(x34881,a900))),f191(f913(x34881,a900))) % 166.45/166.21 [3490]P1(f329(f63(x34901),f191(f913(x34901,a900)))) % 166.45/166.21 [3492]E(f329(f304(a905,x34921),f329(a117,x34921)),f329(f329(f311(a905),x34921),f191(f913(a905,a900)))) % 166.45/166.21 [3493]E(f87(f912(a905,a905),f50(x34931,f2(a905))),f329(f329(f257(a905,a905),f2(a905)),x34931)) % 166.45/166.21 [3506]E(f329(f329(f311(a905),f329(a117,x35061)),f329(f303(a905),x35061)),f329(f303(a905),f329(a117,x35061))) % 166.45/166.21 [3510]P37(x35101,f191(f913(f912(x35101,x35101),a900))) % 166.45/166.21 [3511]P39(x35111,f191(f913(f912(x35111,x35111),a900))) % 166.45/166.21 [3514]P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x35141))) % 166.45/166.21 [3521]E(f329(f329(f82(a905),f329(f192(a905),x35211)),f329(a117,f2(a905))),f329(f192(a905),f329(a117,x35211))) % 166.45/166.21 [3624]P41(f329(f312(a905,a1,f105(a1)),x36241)) % 166.45/166.21 [3663]P55(x36631,f191(f913(x36631,a900)),f191(f913(f912(x36631,x36631),a900))) % 166.45/166.21 [3683]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f23(a1),x36831),f80(a1))),f52(f329(f108(a1),a102),x36831)) % 166.45/166.21 [3736]P62(x37361,f329(f16(f913(x37361,a900),x37361),f329(f16(a900,x37361),a244))) % 166.45/166.21 [3942]P1(f329(f329(f331(f913(f912(a905,a905),a900)),f330(x39421)),a103)) % 166.45/166.21 [3967]P1(f329(f329(f331(f913(f912(a905,a905),a900)),f329(a112,x39671)),a103)) % 166.45/166.21 [4098]P24(x40981,f913(x40981,a900),f329(f329(f7(x40981,f913(x40981,a900),f913(x40981,a900)),f311(x40981)),f191(f913(x40981,a900))),f247(f913(x40981,a900))) % 166.45/166.21 [4592]~E(f329(f329(f82(a1),x45921),x45921),a102) % 166.45/166.21 [4621]~E(f329(a3,f329(a117,f329(a20,x46211))),f2(a104)) % 166.45/166.21 [4627]~P1(f329(a196,f329(f105(a1),x46271))) % 166.45/166.21 [4630]~P1(f329(f329(f240(a905),x46301),x46301)) % 166.45/166.21 [4640]~P1(f329(f329(f239(a905),f329(a117,x46401)),x46401)) % 166.45/166.21 [3437]E(f329(a109,f329(f81(a1),f329(f105(a1),x34371))),f2(a905)) % 166.45/166.21 [3440]E(f329(f329(f82(a1),f329(f81(a1),x34401)),x34401),f2(a1)) % 166.45/166.21 [3444]E(f329(f37(a1),f329(f304(a1,f2(a1)),x34441)),f329(a109,x34441)) % 166.45/166.21 [3456]E(f329(f329(f249(a905),f329(a117,f2(a905))),x34561),f329(a117,f2(a905))) % 166.45/166.21 [3553]E(f329(f284(x35531),f191(f913(f912(x35531,x35531),a900))),f191(f913(x35531,a900))) % 166.45/166.21 [3561]E(f40(f913(x35611,a900),f191(f913(f913(x35611,a900),a900))),f247(f913(x35611,a900))) % 166.45/166.21 [3562]E(f40(f913(x35621,a900),f247(f913(f913(x35621,a900),a900))),f191(f913(x35621,a900))) % 166.45/166.21 [3563]E(f39(f913(x35631,a900),f191(f913(f913(x35631,a900),a900))),f191(f913(x35631,a900))) % 166.45/166.21 [3564]E(f39(f913(x35641,a900),f247(f913(f913(x35641,a900),a900))),f247(f913(x35641,a900))) % 166.45/166.21 [3607]E(f329(f329(f311(f906(x36071)),f118(x36071)),f191(f913(f906(x36071),a900))),f164(x36071,f191(f913(x36071,a900)))) % 166.45/166.21 [3608]E(f329(f329(f311(f906(x36081)),f118(x36081)),f191(f913(f906(x36081),a900))),f165(x36081,f118(f913(x36081,a900)))) % 166.45/166.21 [3648]E(f329(f329(f82(a905),f4(x36481)),f329(a117,f2(a905))),f4(f329(a3,f329(a117,f329(a20,x36481))))) % 166.45/166.21 [3674]E(f329(f37(a1),f329(f312(a905,a1,f105(a1)),x36741)),f329(f37(a905),x36741)) % 166.45/166.21 [3677]P1(f329(f329(f239(a905),x36771),f329(f329(f83(a905),x36771),x36771))) % 166.45/166.21 [3714]E(f329(f312(a1,a905,a109),f305(a1,f2(a1),f329(f105(a1),x37141))),f329(f303(a905),x37141)) % 166.45/166.21 [3731]E(f329(f329(f38(a905),f329(a117,f2(a905))),f329(f108(a905),x37311)),f329(a109,f329(f329(f38(a1),f80(a1)),f329(f108(a1),x37311)))) % 166.45/166.21 [3733]E(f329(f175(a905),f142(a905,f329(f304(a905,f2(a905)),f329(a117,x37331)))),f329(f303(a905),x37331)) % 166.45/166.21 [3734]E(f329(f329(f82(a905),f329(f192(a104),x37341)),f329(a117,f2(a905))),f329(f192(a104),f329(a3,f329(a117,f329(a20,x37341))))) % 166.45/166.21 [3754]P39(x37541,f309(x37541,f191(f913(f912(x37541,x37541),a900)))) % 166.45/166.21 [3755]P54(x37551,f309(x37551,f191(f913(f912(x37551,x37551),a900)))) % 166.45/166.21 [3756]E(f329(f312(a1,a905,a109),f329(f312(a905,a1,f105(a1)),x37561)),x37561) % 166.45/166.21 [3787]E(f329(f329(f311(a905),f2(a905)),f329(f312(a905,a905,a117),f329(f285(a905),x37871))),f329(f285(a905),f329(a117,x37871))) % 166.45/166.21 [3794]P57(x37941,x37941,f309(x37941,f191(f913(f912(x37941,x37941),a900)))) % 166.45/166.21 [3800]P1(f329(a196,f329(f81(a1),f329(f105(a1),f329(a117,x38001))))) % 166.45/166.21 [3810]E(f329(f329(f23(f913(a905,a900)),f329(f286(a905),x38101)),f329(f329(f311(a905),x38101),f191(f913(a905,a900)))),f329(f286(a905),f329(a117,x38101))) % 166.45/166.21 [3827]E(f329(f329(f82(a1),f329(f329(f23(a1),a85),x38271)),f329(f329(f23(a1),a85),x38271)),f329(f329(f23(a1),a85),f329(f329(f82(a1),x38271),x38271))) % 166.45/166.21 [3842]E(f329(f329(f311(f913(x38421,a900)),f191(f913(x38421,a900))),f191(f913(f913(x38421,a900),a900))),f329(f310(x38421),f191(f913(x38421,a900)))) % 166.45/166.21 [3870]E(f329(f329(f23(f913(a905,a900)),f329(f306(a905),x38701)),f329(f329(f311(a905),f329(a117,x38701)),f191(f913(a905,a900)))),f329(f306(a905),f329(a117,x38701))) % 166.45/166.21 [3979]E(f329(f108(a905),f329(f329(f82(a1),x39791),x39791)),f329(f329(f88(a905,a905),f329(f108(a905),x39791)),f329(f329(f18(a905,a905,a905),f82(a905)),f5(a905)))) % 166.45/166.21 [4352]P13(x43521,f913(x43521,a900),f329(f329(f8(f913(x43521,a900),f913(f913(x43521,a900),f913(x43521,a900)),x43521),f329(f7(f913(x43521,a900),f913(x43521,a900),f913(x43521,a900)),f23(f913(x43521,a900)))),f329(f329(f7(x43521,f913(x43521,a900),f913(x43521,a900)),f311(x43521)),f191(f913(x43521,a900))))) % 166.45/166.21 [4439]E(f329(f267(f912(a1,a1)),f329(f262(a1,a1,a900),f329(f329(f8(f913(a1,a900),f913(a1,a900),a1),f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),x44391)))),f240(a1)))),f110(x44391)) % 166.45/166.21 [4472]E(f329(f267(f912(a1,a1)),f329(f262(a1,a1,a900),f329(f329(f18(a1,f913(a1,a900),f913(a1,a900)),f329(f329(f8(f913(a900,a900),f913(f913(a1,a900),f913(a1,a900)),a1),f8(a900,a900,a1)),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),x44721)))),f240(a1)))),f111(x44721)) % 166.45/166.21 [4525]E(f329(f267(f912(f913(x45251,a900),f913(x45251,a900))),f329(f262(f913(x45251,a900),f913(x45251,a900),a900),f329(f329(f7(f913(x45251,a900),f913(f913(x45251,a900),a900),f913(f913(x45251,a900),a900)),f329(f329(f8(f913(f913(x45251,a900),f913(a900,a900)),f913(f913(f913(x45251,a900),a900),f913(f913(x45251,a900),a900)),f913(x45251,a900)),f18(f913(x45251,a900),a900,a900)),f329(f329(f8(f913(f913(x45251,a900),a900),f913(f913(x45251,a900),f913(a900,a900)),f913(x45251,a900)),f329(f8(a900,f913(a900,a900),f913(x45251,a900)),a327)),f240(f913(x45251,a900))))),f63(x45251)))),f316(x45251)) % 166.45/166.21 [4644]~P1(f329(f63(f906(x46441)),f247(f913(f906(x46441),a900)))) % 166.45/166.21 [4656]~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x46561))))) % 166.45/166.21 [3586]E(f329(f329(f23(a1),f329(f329(f82(a1),x35861),a102)),a102),x35861) % 166.45/166.21 [3600]E(f329(f175(a905),f142(a905,f329(f304(a905,f2(a905)),x36001))),f329(f285(a905),x36001)) % 166.45/166.21 [3849]E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x38491)),x38491),f329(f329(f23(a1),f329(f329(f82(a1),x38491),x38491)),a102)) % 166.45/166.21 [3897]E(f329(f289(x38971,x38971),f309(x38971,f191(f913(f912(x38971,x38971),a900)))),f309(x38971,f191(f913(f912(x38971,x38971),a900)))) % 166.45/166.21 [3945]P1(f329(f329(f239(a905),x39451),f329(f329(f83(a905),x39451),f329(f329(f83(a905),x39451),x39451)))) % 166.45/166.21 [4215]P1(f329(f63(a905),f329(f267(a905),f329(f329(f7(a905,a905,a900),f239(a905)),x42151)))) % 166.45/166.21 [4216]P1(f329(f63(a905),f329(f267(a905),f329(f329(f7(a905,a905,a900),f240(a905)),x42161)))) % 166.45/166.21 [4488]E(f329(f267(f912(x44881,x44881)),f329(f329(f8(f913(x44881,a900),a900,f912(x44881,x44881)),f89(x44881)),f329(f329(f7(f912(x44881,x44881),f913(x44881,f912(x44881,x44881)),f913(x44881,a900)),f329(f329(f8(f913(f912(x44881,x44881),a900),f913(f913(x44881,f912(x44881,x44881)),f913(x44881,a900)),f912(x44881,x44881)),f8(f912(x44881,x44881),a900,x44881)),a326)),f329(f329(f18(x44881,x44881,f912(x44881,x44881)),f257(x44881,x44881)),f5(x44881))))),f309(x44881,f191(f913(f912(x44881,x44881),a900)))) % 166.45/166.21 [4646]~E(f329(f329(f23(a1),f329(f329(f82(a1),x46461),x46461)),a102),a85) % 166.45/166.21 [4648]~E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x46481)),x46481),f2(a1)) % 166.45/166.21 [3990]E(f329(f329(f82(a1),f329(f329(f23(a1),a102),x39901)),f329(f329(f23(a1),a102),x39901)),f329(f329(f23(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x39901),x39901)),a102))) % 166.45/166.21 [4106]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41061)),f329(f329(f23(a1),a102),x41061))),a102),f329(f329(f23(a1),a102),f329(f329(f82(a1),x41061),x41061))) % 166.45/166.21 [4138]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x41381),a102)),f329(f329(f82(a1),x41381),a102))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x41381),x41381)),a102)) % 166.45/166.21 [4176]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41761)),f329(f329(f23(a1),a102),x41761))),a102),f329(f329(f23(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x41761),x41761)),a102))) % 166.45/166.21 [4273]E(f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x42731),f2(a905))),f191(f913(f912(a905,a905),a900))))),f329(f105(a1),x42731)) % 166.45/166.21 [4283]E(f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),f334(x42831)),f526(x42831))),f191(f913(f912(a905,a905),a900))))),x42831) % 166.45/166.21 [4316]E(f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x43161)),f329(f312(a905,a1,f105(a1)),f329(f267(a905),f329(f329(f8(a1,a900,a905),x43161),f105(a1))))) % 166.45/166.21 [4360]P41(f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x43601))) % 166.45/166.21 [4380]P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x43801),f191(f913(f912(a905,a905),a900)))),a73)) % 166.45/166.21 [4385]E(f329(f312(a1,a905,a109),f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f8(a905,a900,a1),x43851),a109)))),f329(f267(a905),x43851)) % 166.45/166.21 [4540]E(f314(a905,f329(f329(f41(f912(a905,a905),f913(a905,a900)),f329(a112,x45401)),f329(f262(a905,a905,f913(a905,a900)),f329(f329(f7(a905,f913(a905,a900),f913(a905,f913(a905,a900))),f329(f329(f8(f913(a905,f913(f913(a905,a900),f913(a905,a900))),f913(f913(a905,a900),f913(a905,f913(a905,a900))),a905),f7(a905,f913(a905,a900),f913(a905,a900))),f329(f329(f8(f913(a905,a905),f913(a905,f913(f913(a905,a900),f913(a905,a900))),a905),f329(f8(a905,f913(f913(a905,a900),f913(a905,a900)),a905),f311(a905))),f23(a905)))),f191(f913(a905,a900)))))),f329(a109,x45401)) % 166.45/166.21 [4034]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40341),x40341)),a102)),a102),f329(f329(f82(a1),x40341),x40341)) % 166.45/166.21 [4084]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40841),x40841)),a102)),a102),f329(f329(f82(a1),f329(f329(f23(a1),x40841),a102)),f329(f329(f23(a1),x40841),a102))) % 166.45/166.21 [4289]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),f329(f81(a1),x42891)),a102)),f329(f329(f82(a1),f329(f81(a1),x42891)),a102))),a102),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42891),x42891)),a102))) % 166.45/166.21 [4333]E(f329(f329(f82(a905),x43331),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(a117,x43331))) % 166.45/166.21 [4334]E(f329(f329(f83(a905),x43341),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f82(a905),x43341),x43341)) % 166.45/166.21 [4335]E(f329(f329(f38(a905),f329(f329(f82(a905),x43351),x43351)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x43351) % 166.45/166.21 [4413]E(f47(a905,f329(a117,f329(a117,x44131)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a905,x44131,f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.21 [4556]E(f329(a91,f329(f329(f41(f912(a905,a905),f913(f912(a905,a905),a900)),f329(a112,x45561)),f329(f262(a905,a905,f913(f912(a905,a905),a900)),f329(f329(f8(f913(a905,f913(f912(a905,a905),a900)),f913(a905,f913(f912(a905,a905),a900)),a905),f329(f8(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900),a905),f288(f912(a905,a905),f912(a905,a905),a113))),f329(f329(f7(a905,f913(f912(a905,a905),a900),f913(a905,f913(f912(a905,a905),a900))),f329(f329(f8(f913(a905,f913(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f913(f913(f912(a905,a905),a900),f913(a905,f913(f912(a905,a905),a900))),a905),f7(a905,f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f8(f913(a905,f912(a905,a905)),f913(a905,f913(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),a905),f329(f8(f912(a905,a905),f913(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),a905),f311(f912(a905,a905)))),f329(f7(a905,a905,f912(a905,a905)),f257(a905,a905))))),f191(f913(f912(a905,a905),a900))))))),f329(f81(a1),x45561)) % 166.45/166.21 [4408]E(f329(f329(f82(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x44081),f329(a117,f329(a117,x44081))) % 166.45/166.21 [4409]E(f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x44091),f329(f329(f82(a905),x44091),x44091)) % 166.45/166.21 [4445]E(f329(f329(f38(a905),f329(a117,f329(a117,x44451))),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(f329(f38(a905),x44451),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.21 [4495]E(f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x44951),f329(a117,f329(a117,f329(a117,x44951)))) % 166.45/166.21 [4563]E(f329(f262(a1,a1,f912(a1,a1)),f329(f329(f18(a1,f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f913(f912(a1,a1),f912(a1,a1))),f913(f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),a1),f18(a1,f912(a1,a1),f912(a1,a1))),f329(f329(f8(f913(a1,f912(a1,a1)),f913(a1,f913(f912(a1,a1),f912(a1,a1))),a1),f329(f18(a1,f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),f329(f329(f8(a900,f913(f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),a1),f99(f912(a1,a1))),f329(f329(f8(a1,a900,a1),f329(f239(a1),f2(a1))),f329(f329(f7(a1,a1,a1),f23(a1)),x45631))))),f329(f329(f7(a1,f913(a1,a1),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f912(a1,a1)),f913(f913(a1,a1),f913(a1,f912(a1,a1))),a1),f8(a1,f912(a1,a1),a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f913(a1,a1),a1),f82(a1)),f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f80(a1))))),f329(f329(f7(a1,a1,a1),f23(a1)),x45631))))),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))),f45(x45631)) % 166.45/166.21 [3627]P42(a25,x36271,x36272,x36271) % 166.45/166.21 [3262]P111(f911(x32621,x32622)) % 166.45/166.21 [3263]P111(f912(x32631,x32632)) % 166.45/166.21 [3264]P111(f910(x32641,x32642)) % 166.45/166.21 [3280]P12(a1,f181(x32801,x32802)) % 166.45/166.21 [3281]P37(x32811,f156(x32811,x32812)) % 166.45/166.21 [3282]P38(x32821,f268(x32821,x32822)) % 166.45/166.21 [3283]P38(x32831,f309(x32831,x32832)) % 166.45/166.21 [3284]P39(x32841,f268(x32841,x32842)) % 166.45/166.21 [3285]P54(x32851,f268(x32851,x32852)) % 166.45/166.21 [3350]P31(x33501,x33502,f118(x33501)) % 166.45/166.21 [3383]P55(x33831,x33832,f268(x33831,x33832)) % 166.45/166.21 [3384]P57(x33841,x33841,f268(x33841,x33842)) % 166.45/166.21 [3651]P24(x36511,x36511,f5(x36511),x36512) % 166.45/166.21 [3652]P24(x36521,x36521,f33(x36521),x36522) % 166.45/166.21 [3659]P32(x36591,x36592,f118(x36591),f118(x36591)) % 166.45/166.21 [3668]P24(f906(x36681),f906(x36681),f171(x36681),x36682) % 166.45/166.21 [4074]P25(x40741,x40741,f33(x40741),x40742,x40742) % 166.45/166.21 [4574]~E(f32(x45741,x45742),a25) % 166.45/166.21 [4575]~E(f31(x45751,x45752),a25) % 166.45/166.21 [4604]~P33(x46041,x46042,f118(x46041)) % 166.45/166.21 [4605]~P35(x46051,x46052,f118(x46051)) % 166.45/166.21 [3247]E(f329(f5(x32471),x32472),x32472) % 166.45/166.21 [3248]E(f329(f267(x32481),x32482),x32482) % 166.45/166.21 [3250]E(f329(f33(x32501),x32502),x32502) % 166.45/166.21 [3260]E(f329(f194(x32601),x32602),f120(x32601)) % 166.45/166.21 [3278]E(f87(x32781,f329(a326,x32782)),x32782) % 166.45/166.21 [3279]E(f92(x32791,f329(a326,x32792)),x32792) % 166.45/166.21 [3302]E(f329(f129(x33021,x33022),f124(x33021)),f2(a905)) % 166.45/166.21 [3306]E(f329(f139(x33061,x33062),f118(x33061)),f118(x33061)) % 166.45/166.21 [3326]E(f309(x33261,f309(x33261,x33262)),f309(x33261,x33262)) % 166.45/166.21 [3327]E(f155(x33271,f155(x33271,x33272)),f155(x33271,x33272)) % 166.45/166.21 [3345]E(f329(f329(f137(x33451),x33452),f118(x33451)),x33452) % 166.45/166.21 [3351]E(f176(x33511,x33512,f118(x33511)),x33512) % 166.45/166.21 [3352]E(f176(x33521,f118(x33521),x33522),x33522) % 166.45/166.21 [3353]E(f121(x33531,f124(x33531),x33532),x33532) % 166.45/166.21 [3354]E(f172(x33541,f2(a905),x33542),f118(x33541)) % 166.45/166.21 [3360]E(f329(f329(f178(x33601),x33602),f118(x33601)),f118(x33601)) % 166.45/166.21 [3361]E(f329(f329(f141(x33611),x33612),f118(x33611)),f118(x33611)) % 166.45/166.21 [3363]E(f158(x33631,x33632,f118(x33631)),f2(a905)) % 166.45/166.21 [3365]E(f173(x33651,x33652,f118(x33651)),f118(x33651)) % 166.45/166.21 [3366]E(f180(x33661,x33662,f118(x33661)),f118(x33661)) % 166.45/166.21 [3367]E(f179(x33671,f118(x33671),x33672),f118(x33671)) % 166.45/166.21 [3371]E(f329(f175(x33711),f155(x33711,x33712)),f329(f175(x33711),x33712)) % 166.45/166.21 [3374]E(f329(f287(x33741,x33741),f268(x33741,x33742)),x33742) % 166.45/166.21 [3375]E(f329(f269(x33751,x33751),f268(x33751,x33752)),x33752) % 166.45/166.21 [3382]E(f329(f289(x33821,x33821),f268(x33821,x33822)),f268(x33821,x33822)) % 166.45/166.21 [3395]E(f309(f906(x33951),f160(x33951,x33952)),f161(x33951,f309(x33951,x33952))) % 166.45/166.21 [3397]P1(f329(f140(a1),f181(x33971,x33972))) % 166.45/166.21 [3405]E(f329(f287(x34051,x34051),f309(x34051,x34052)),f247(f913(x34051,a900))) % 166.45/166.21 [3406]E(f329(f269(x34061,x34061),f309(x34061,x34062)),f247(f913(x34061,a900))) % 166.45/166.21 [3410]P1(f329(f140(x34101),f155(x34101,x34102))) % 166.45/166.21 [3412]P1(f329(f163(x34121,x34122),f118(x34121))) % 166.45/166.21 [3419]E(f329(f175(a1),f181(x34191,x34192)),f305(a1,x34191,x34192)) % 166.45/166.21 [3433]P58(x34331,f191(f913(x34331,a900)),x34332) % 166.45/166.21 [3438]E(f329(f261(a1,a1),f48(x34381,x34382)),f47(a1,x34381,x34382)) % 166.45/166.21 [3439]E(f329(f304(a905,x34391),f329(a117,x34392)),f305(a905,x34391,x34392)) % 166.45/166.21 [3455]E(f329(f329(f154(x34551),x34552),f118(x34551)),f143(x34551,x34552,f118(x34551))) % 166.45/166.21 [3467]E(f305(a905,f329(a117,x34671),x34672),f307(a905,x34671,x34672)) % 166.45/166.21 [3470]P55(x34701,f247(f913(x34701,a900)),f309(x34701,x34702)) % 166.45/166.21 [3533]E(f329(f329(f23(a905),x35331),f329(a117,x35332)),f329(f37(a905),f308(a905,x35332,x35331))) % 166.45/166.21 [3587]E(f169(x35871,x35872,f118(x35871)),f329(f329(f257(f906(x35871),f906(x35871)),f118(x35871)),f118(x35871))) % 166.45/166.21 [3605]E(f329(f262(x36051,x36052,f912(x36051,x36052)),f257(x36051,x36052)),f33(f912(x36051,x36052))) % 166.45/166.21 [3609]P1(f329(f329(f331(f906(x36091)),f118(x36091)),f164(x36091,x36092))) % 166.45/166.21 [3610]E(f329(f192(f906(x36101)),f119(x36101,x36102)),f329(f329(f23(a905),f329(f192(f906(x36101)),x36102)),f80(a905))) % 166.45/166.21 [3618]P1(f329(f63(a905),f305(a905,x36181,x36182))) % 166.45/166.21 [3619]P1(f329(f63(a905),f307(a905,x36191,x36192))) % 166.45/166.21 [3620]P1(f329(f63(a905),f308(a905,x36201,x36202))) % 166.45/166.21 [3621]P1(f329(f63(a1),f305(a1,x36211,x36212))) % 166.45/166.21 [3622]P1(f329(f63(a1),f307(a1,x36221,x36222))) % 166.45/166.21 [3623]P1(f329(f63(a1),f308(a1,x36231,x36232))) % 166.45/166.21 [3730]E(f329(f312(a905,a905,a117),f305(a905,x37301,x37302)),f305(a905,f329(a117,x37301),f329(a117,x37302))) % 166.45/166.21 [3750]E(f329(f329(f291(x37501,x37501,x37501),f309(x37501,x37502)),f309(x37501,x37502)),f309(x37501,x37502)) % 166.45/166.21 [3785]E(f329(f329(f257(a1,a1),f329(f329(f38(a1),x37851),x37852)),f47(a1,x37851,x37852)),f48(x37851,x37852)) % 166.45/166.21 [3786]E(f329(f329(f257(a104,a104),f329(f329(f38(a104),x37861),x37862)),f47(a104,x37861,x37862)),f21(x37861,x37862)) % 166.45/166.21 [3814]E(f329(f329(f257(a905,a905),f329(f329(f38(a905),x38141),x38142)),f47(a905,x38141,x38142)),f87(f912(a905,a905),f50(x38141,x38142))) % 166.45/166.21 [3866]P1(f329(f329(f240(a905),f329(f329(f23(a905),x38661),x38662)),f329(a117,x38661))) % 166.45/166.21 [3916]P38(x39161,f329(f329(f291(x39161,x39161,x39161),x39162),f309(x39161,x39162))) % 166.45/166.21 [3966]E(f329(f329(f82(a1),f329(f329(f83(a1),x39661),f329(f329(f38(a1),x39662),x39661))),f47(a1,x39662,x39661)),x39662) % 166.45/166.21 [3970]E(f329(f329(f41(a905,f913(f912(f906(x39701),f906(x39701)),a900)),f247(f913(a905,a900))),f146(x39701,x39702)),f148(x39701,x39702)) % 166.45/166.21 [4192]P1(f329(f329(f331(f912(f906(x41921),f906(x41921))),f329(f329(f257(f906(x41921),f906(x41921)),f118(x41921)),f118(x41921))),f161(x41921,x41922))) % 166.45/166.21 [4301]E(f258(x43011,x43011,x43011,a326,f258(x43011,x43011,x43011,x43012,a326)),x43012) % 166.45/166.21 [4345]E(f263(x43451,x43451,x43452,x43452,f5(x43451),f5(x43452)),f33(f912(x43451,x43452))) % 166.45/166.21 [4347]E(f263(x43471,x43471,x43472,x43472,f33(x43471),f33(x43472)),f33(f912(x43471,x43472))) % 166.45/166.21 [3344]E(f329(f171(x33441),f329(f171(x33441),x33442)),x33442) % 166.45/166.21 [3346]E(f329(f329(f141(x33461),f2(a905)),x33462),x33462) % 166.45/166.21 [3362]E(f329(f329(f178(x33621),f2(a905)),x33622),f118(x33621)) % 166.45/166.21 [3369]E(f329(f329(f137(x33691),f118(x33691)),x33692),x33692) % 166.45/166.21 [3378]E(f39(f913(x33781,a900),f329(f310(x33781),x33782)),x33782) % 166.45/166.21 [3380]E(f329(f175(x33801),f329(f170(x33801),x33802)),f329(f175(x33801),x33802)) % 166.45/166.21 [3381]E(f329(f175(x33811),f329(f171(x33811),x33812)),f329(f175(x33811),x33812)) % 166.45/166.21 [3386]E(f329(f329(f23(a104),x33861),x33862),f329(f329(a24,x33861),x33862)) % 166.45/166.21 [3399]E(f329(f329(f82(a905),x33991),x33992),f329(f329(f82(a905),x33992),x33991)) % 166.45/166.21 [3400]E(f329(f329(f82(a1),x34001),x34002),f329(f329(f82(a1),x34002),x34001)) % 166.45/166.21 [3401]E(f329(f329(f83(a905),x34011),x34012),f329(f329(f83(a905),x34012),x34011)) % 166.45/166.21 [3402]E(f329(f329(f83(a1),x34021),x34022),f329(f329(f83(a1),x34022),x34021)) % 166.45/166.21 [3425]E(f329(f329(f186(x34251,x34251),f2(a905)),x34252),f33(x34251)) % 166.45/166.21 [3426]E(f329(f192(f906(x34261)),f329(f170(x34261),x34262)),f329(f192(f906(x34261)),x34262)) % 166.45/166.21 [3427]E(f329(f192(f906(x34271)),f329(f171(x34271),x34272)),f329(f192(f906(x34271)),x34272)) % 166.45/166.21 [3428]E(f179(x34281,x34282,f191(f913(a905,a900))),f118(x34281)) % 166.45/166.21 [3429]E(f329(f329(f157(x34291,x34291),f5(x34291)),x34292),x34292) % 166.45/166.21 [3431]E(f329(f256(a1,a1),f48(x34311,x34312)),f329(f329(f38(a1),x34311),x34312)) % 166.45/166.21 [3448]E(f329(f192(f906(x34481)),f155(x34481,x34482)),f329(f37(x34481),f329(f175(x34481),x34482))) % 166.45/166.21 [3449]E(f30(f31(x34491,x34492)),f329(f329(f82(a905),f30(x34492)),f329(a117,f2(a905)))) % 166.45/166.21 [3450]E(f329(f284(x34501),f329(f289(x34501,x34501),x34502)),f329(f284(x34501),x34502)) % 166.45/166.21 [3454]P1(f329(f63(x34541),f329(f175(x34541),x34542))) % 166.45/166.21 [3462]E(f329(f329(f82(a1),x34621),f329(f81(a1),x34622)),f329(f329(f23(a1),x34621),x34622)) % 166.45/166.21 [3469]P23(x34691,x34692,f191(f913(f904(x34691),a900))) % 166.45/166.21 [3471]E(f329(f312(x34711,x34711,f5(x34711)),x34712),x34712) % 166.45/166.21 [3472]E(f329(f312(x34721,x34721,f33(x34721)),x34722),x34722) % 166.45/166.21 [3473]E(f329(f313(x34731,x34731,f5(x34731)),x34732),x34732) % 166.45/166.21 [3474]E(f329(f313(x34741,x34741,f33(x34741)),x34742),x34742) % 166.45/166.21 [3475]P1(f329(f247(f913(x34751,a900)),x34752)) % 166.45/166.21 [3477]E(f329(f37(a905),f329(f304(a905,x34771),x34772)),f329(f329(f23(a905),x34772),x34771)) % 166.45/166.21 [3478]E(f329(f304(a905,f329(a117,x34781)),x34782),f308(a905,x34781,x34782)) % 166.45/166.21 [3491]E(f329(f329(f311(x34911),x34912),f191(f913(x34911,a900))),f329(f267(x34911),f329(a326,x34912))) % 166.45/166.21 [3496]E(f309(x34961,f329(f289(x34961,x34961),x34962)),f329(f289(x34961,x34961),f309(x34961,x34962))) % 166.45/166.21 [3501]E(f329(f329(f82(a905),f329(a117,x35011)),x35012),f329(f329(f82(a905),x35011),f329(a117,x35012))) % 166.45/166.21 [3502]E(f329(f329(f23(a905),f329(a117,x35021)),f329(a117,x35022)),f329(f329(f23(a905),x35021),x35022)) % 166.45/166.21 [3508]E(f57(x35081,f2(a905),x35082),f329(f329(f154(f906(x35081)),f118(x35081)),f118(f906(x35081)))) % 166.45/166.21 [3509]E(f329(f37(a905),f307(a905,x35091,x35092)),f329(f329(f23(a905),x35092),x35091)) % 166.45/166.21 [3518]P37(x35181,f329(f329(f290(a905,x35181),a245),x35182)) % 166.45/166.21 [3520]P12(a905,f142(a905,f329(f304(a905,x35201),x35202))) % 166.45/166.21 [3522]P1(f329(f63(a905),f329(f304(a905,x35221),x35222))) % 166.45/166.21 [3523]P1(f329(f63(a1),f329(f304(a1,x35231),x35232))) % 166.45/166.21 [3526]E(f329(f289(f906(x35261),f906(x35261)),f160(x35261,x35262)),f160(x35261,f329(f289(x35261,x35261),x35262))) % 166.45/166.21 [3527]E(f329(f192(a902),f31(x35271,x35272)),f329(f329(f82(a905),f329(f192(a902),x35272)),f329(a117,f2(a905)))) % 166.45/166.21 [3529]E(f329(f304(a1,x35291),f329(f329(f82(a1),x35292),f80(a1))),f305(a1,x35291,x35292)) % 166.45/166.21 [3532]E(f329(f329(f38(a1),f329(f81(a1),x35321)),f329(f81(a1),x35322)),f329(f329(f38(a1),x35321),x35322)) % 166.45/166.21 [3540]E(f329(f329(f186(f912(x35401,x35401),a900),f80(a905)),x35402),x35402) % 166.45/166.21 [3542]E(f329(f329(f115(f913(x35421,a900)),x35422),f191(f913(x35421,a900))),x35422) % 166.45/166.21 [3543]E(f329(f329(f23(f913(x35431,a900)),x35432),f191(f913(x35431,a900))),x35432) % 166.45/166.21 [3544]E(f329(f329(f106(f913(x35441,a900)),x35442),f247(f913(x35441,a900))),x35442) % 166.45/166.21 [3545]E(f329(f256(a905,a905),f87(f912(a905,a905),f50(x35451,x35452))),f329(f329(f38(a905),x35451),x35452)) % 166.45/166.21 [3552]E(f305(a1,f329(f329(f82(a1),x35521),f80(a1)),x35522),f307(a1,x35521,x35522)) % 166.45/166.21 [3557]E(f329(f261(a905,a905),f87(f912(a905,a905),f50(x35571,x35572))),f47(a905,x35571,x35572)) % 166.45/166.21 [3567]P1(f329(f329(f331(x35671),x35672),f247(f913(x35671,a900)))) % 166.45/166.21 [3571]E(f329(f329(f23(a905),f329(a117,x35711)),x35712),f329(f37(a905),f305(a905,x35712,x35711))) % 166.45/166.21 [3596]E(f329(f329(f115(f913(x35961,a900)),x35962),f247(f913(x35961,a900))),f247(f913(x35961,a900))) % 166.45/166.21 [3597]E(f329(f329(f23(f913(x35971,a900)),x35972),f247(f913(x35971,a900))),f191(f913(x35971,a900))) % 166.45/166.21 [3598]E(f329(f329(f106(f913(x35981,a900)),x35982),f191(f913(x35981,a900))),f191(f913(x35981,a900))) % 166.45/166.21 [3613]E(f47(a1,f329(f105(a1),x36131),f329(f105(a1),x36132)),f329(f105(a1),f47(a905,x36131,x36132))) % 166.45/166.21 [3614]E(f47(a1,f329(f81(a1),x36141),f329(f81(a1),x36142)),f329(f81(a1),f47(a1,x36141,x36142))) % 166.45/166.21 [3625]E(f329(f192(f906(x36251)),f329(f174(x36251),x36252)),f329(f329(f23(a905),f329(f192(f906(x36251)),x36252)),f80(a905))) % 166.45/166.21 [3653]E(f329(f329(f38(a1),f47(a1,x36531,x36532)),x36532),f2(a1)) % 166.45/166.21 [3661]E(f329(a3,f47(a905,f329(a20,x36611),f329(a20,x36612))),f47(a104,x36611,x36612)) % 166.45/166.21 [3696]E(f329(a3,f329(f329(f23(a905),f329(a20,x36961)),f329(a20,x36962))),f329(f329(f23(a104),x36961),x36962)) % 166.45/166.21 [3697]E(f329(a3,f329(f329(f82(a905),f329(a20,x36971)),f329(a20,x36972))),f329(f329(f82(a104),x36971),x36972)) % 166.45/166.21 [3698]E(f329(a3,f329(f329(f83(a905),f329(a20,x36981)),f329(a20,x36982))),f329(f329(f83(a104),x36981),x36982)) % 166.45/166.21 [3699]E(f329(a3,f329(f329(f38(a905),f329(a20,x36991)),f329(a20,x36992))),f329(f329(f38(a104),x36991),x36992)) % 166.45/166.21 [3708]E(f329(f312(a905,a905,a117),f329(f304(a905,x37081),x37082)),f329(f304(a905,f329(a117,x37081)),f329(a117,x37082))) % 166.45/166.21 [3735]P1(f329(f50(x37351,x37352),f87(f912(a905,a905),f50(x37351,x37352)))) % 166.45/166.21 [3759]E(f329(f329(f82(a905),f329(f329(f82(a905),f30(x37591)),f30(x37592))),f329(a117,f2(a905))),f30(f32(x37591,x37592))) % 166.45/166.21 [3760]E(f47(a905,f329(a117,f47(a905,x37601,x37602)),x37602),f47(a905,f329(a117,x37601),x37602)) % 166.45/166.21 [3772]E(f329(f329(f42(f913(x37721,a900),f913(x37721,a900)),x37722),f5(f913(x37721,a900))),f40(f913(x37721,a900),x37722)) % 166.45/166.21 [3773]E(f329(f329(f41(f913(x37731,a900),f913(x37731,a900)),x37732),f5(f913(x37731,a900))),f39(f913(x37731,a900),x37732)) % 166.45/166.21 [3774]E(f329(f312(f906(x37741),f913(x37741,a900),f175(x37741)),f329(f175(f906(x37741)),f56(x37741,x37742))),f329(f310(x37741),f329(f175(x37741),x37742))) % 166.45/166.21 [3778]P1(f329(f329(f331(f913(x37781,a900)),x37782),f329(f310(x37781),x37782))) % 166.45/166.21 [3784]E(f47(a1,f329(f81(a1),f47(a1,x37841,x37842)),x37842),f47(a1,f329(f81(a1),x37841),x37842)) % 166.45/166.21 [3796]P1(f329(f329(f239(f913(x37961,a900)),x37962),f247(f913(x37961,a900)))) % 166.45/166.21 [3798]E(f329(f329(f291(x37981,x37981,x37981),f309(x37981,x37982)),f309(x37981,f309(x37981,x37982))),f309(x37981,x37982)) % 166.45/166.21 [3799]E(f329(f329(f115(f913(x37991,a900)),f329(f269(x37991,x37991),x37992)),f329(f287(x37991,x37991),x37992)),f329(f284(x37991),x37992)) % 166.45/166.21 [3820]E(f315(x38201,x38202,f247(f913(x38201,a900)),f247(f913(x38202,a900))),f247(f913(f911(x38201,x38202),a900))) % 166.45/166.21 [3871]P1(f329(f329(f239(a905),f47(a905,x38711,x38712)),x38711)) % 166.45/166.21 [3895]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x38951))),f329(f105(a1),x38952))) % 166.45/166.21 [3921]P1(f329(f329(f331(f913(x39211,a900)),f191(f913(x39211,a900))),f329(f310(x39211),x39212))) % 166.45/166.21 [3926]E(f309(x39261,f329(f329(f291(x39261,x39261,x39261),x39262),f309(x39261,x39262))),f309(x39261,x39262)) % 166.45/166.21 [3929]E(f329(f329(f291(x39291,x39291,x39291),f309(x39291,x39292)),x39292),f329(f329(f291(x39291,x39291,x39291),x39292),f309(x39291,x39292))) % 166.45/166.21 [3931]E(f329(a109,f329(f329(f82(a1),f329(f329(f23(a1),x39311),x39312)),f80(a1))),f329(f37(a1),f305(a1,x39312,x39311))) % 166.45/166.21 [3946]E(f329(f287(x39461,x39461),f329(f329(f291(x39461,x39461,x39461),x39462),f309(x39461,x39462))),f329(f287(x39461,x39461),x39462)) % 166.45/166.21 [3947]E(f329(f269(x39471,x39471),f329(f329(f291(x39471,x39471,x39471),x39472),f309(x39471,x39472))),f329(f269(x39471,x39471),x39472)) % 166.45/166.21 [3962]E(f329(f329(f82(a905),f329(f329(f82(a905),f329(f192(a902),x39621)),f329(f192(a902),x39622))),f329(a117,f2(a905))),f329(f192(a902),f32(x39621,x39622))) % 166.45/166.21 [3965]E(f329(f145(f906(x39651),f906(x39651),f137(x39651),f118(x39651)),f172(f906(x39651),x39652,f118(x39651))),f118(x39651)) % 166.45/166.21 [3974]P24(a905,a905,f329(f329(f7(a905,a905,a905),f82(a905)),x39741),x39742) % 166.45/166.21 [3976]P12(a905,f329(f171(a905),f329(f329(f157(f906(x39761),a905),f192(f906(x39761))),f182(x39761,x39762)))) % 166.45/166.21 [4007]P54(x40071,f329(f329(f115(f913(f912(x40071,x40071),a900)),x40072),f329(f289(x40071,x40071),x40072))) % 166.45/166.21 [4008]P54(x40081,f329(f329(f106(f913(f912(x40081,x40081),a900)),x40082),f329(f289(x40081,x40081),x40082))) % 166.45/166.21 [4019]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40191)))),f329(f105(a1),x40192))) % 166.45/166.21 [4063]E(f329(f145(f906(x40631),x40631,f329(f7(x40631,f906(x40631),f906(x40631)),f154(x40631)),f118(x40631)),x40632),f329(f171(x40631),x40632)) % 166.45/166.21 [4113]P1(f329(f329(f239(f913(f912(f906(x41131),f906(x41131)),a900)),f161(x41131,x41132)),f309(f906(x41131),f160(x41131,x41132)))) % 166.45/166.21 [4142]P1(f329(f50(x41421,x41422),f329(f329(f257(a905,a905),f329(f329(f38(a905),x41421),x41422)),f47(a905,x41421,x41422)))) % 166.45/166.21 [4154]P1(f329(f329(f239(f913(f912(f906(x41541),f906(x41541)),a900)),f160(x41541,f309(x41541,x41542))),f309(f906(x41541),f160(x41541,x41542)))) % 166.45/166.21 [4370]E(f329(f329(f264(f912(a104,a104),a104,f912(a104,a104),f912(x43701,f912(a104,a104))),f272(f329(f168(a104),f329(f329(f157(f912(a104,x43701),a104),f256(a104,x43701)),x43702)))),f329(f329(f8(x43701,f913(f912(a104,a104),f912(x43701,f912(a104,a104))),a104),f257(x43701,f912(a104,a104))),f273(x43701,x43702))),f271(x43701,x43702)) % 166.45/166.21 [4447]E(f227(a905,f912(x44471,f907(x44471)),f2(a905),f329(f262(x44471,f907(x44471),a905),f329(f16(f913(f907(x44471),a905),x44471),f329(f329(f7(f907(x44471),a905,a905),f329(f329(f8(a905,f913(a905,a905),f907(x44471)),f82(a905)),f192(f907(x44471)))),f80(a905)))),f329(f138(x44471),x44472)),f329(f192(f907(x44471)),x44472)) % 166.45/166.21 [4555]E(f329(f262(f913(f912(x45551,x45551),a900),f913(f912(x45551,x45551),a900),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f329(f329(f7(f913(f912(x45551,x45551),a900),f913(f913(f912(x45551,x45551),a900),f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900))),f913(f913(f912(x45551,x45551),a900),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900))))),f329(f329(f8(f913(f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900)),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f913(f913(f913(f912(x45551,x45551),a900),f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900))),f913(f913(f912(x45551,x45551),a900),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900))))),f913(f912(x45551,x45551),a900)),f8(f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900)),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900))),f913(f912(x45551,x45551),a900))),f329(f329(f8(f913(f913(x45552,x45551),f913(f913(f912(x45552,x45552),a900),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f913(f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900)),f913(f913(x45552,x45551),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f913(f912(x45551,x45551),a900)),f18(f913(x45552,x45551),f913(f912(x45552,x45552),a900),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f329(f329(f8(f913(f913(x45552,x45551),f913(f912(x45552,x45552),a900)),f913(f913(x45552,x45551),f913(f913(f912(x45552,x45552),a900),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f913(f912(x45551,x45551),a900)),f329(f8(f913(f912(x45552,x45552),a900),f913(f913(f912(x45552,x45552),a900),f912(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900))),f913(x45552,x45551)),f257(f913(f912(x45552,x45552),a900),f913(f912(x45552,x45552),a900)))),f290(x45551,x45552))))),f290(x45551,x45552))),f75(x45551,x45552)) % 166.45/166.21 [4628]~E(f329(f310(x46281),x46282),f191(f913(f913(x46281,a900),a900))) % 166.45/166.21 [4639]~P1(f329(f329(f175(x46391),f118(x46391)),x46392)) % 166.45/166.21 [4643]~P1(f329(f329(f331(x46431),x46432),f191(f913(x46431,a900)))) % 166.45/166.21 [4651]~P1(f329(f329(f240(f913(x46511,a900)),x46512),f191(f913(x46511,a900)))) % 166.45/166.21 [3480]E(f329(f329(f23(a905),x34801),f329(f329(f82(a905),x34801),x34802)),f2(a905)) % 166.45/166.21 [3483]E(f329(f329(f115(f913(x34831,a900)),x34832),x34832),x34832) % 166.45/166.21 [3484]E(f329(f329(f106(f913(x34841,a900)),x34842),x34842),x34842) % 166.45/166.21 [3512]E(f329(f329(f23(f913(x35121,a900)),x35122),x35122),f191(f913(x35121,a900))) % 166.45/166.21 [3515]E(f329(f146(x35151,x35152),f2(a905)),f191(f913(f912(f906(x35151),f906(x35151)),a900))) % 166.45/166.21 [3516]E(f329(f329(f82(a905),x35161),f329(a117,x35162)),f329(a117,f329(f329(f82(a905),x35161),x35162))) % 166.45/166.21 [3528]E(f198(f329(f105(a1),x35281),f329(f105(a1),x35282)),f329(f105(a1),f329(f329(f23(a905),x35281),x35282))) % 166.45/166.21 [3531]E(f329(f329(f38(a1),f329(f81(a1),x35311)),x35312),f329(f329(f38(a1),x35311),f329(f81(a1),x35312))) % 166.45/166.21 [3535]E(f329(f37(a1),f329(f304(a1,x35351),x35352)),f329(a109,f329(f329(f23(a1),x35352),x35351))) % 166.45/166.21 [3538]E(f329(f329(f82(a905),f329(a117,x35381)),x35382),f329(a117,f329(f329(f82(a905),x35381),x35382))) % 166.45/166.21 [3541]E(f329(f81(f913(x35411,a900)),f329(f81(f913(x35411,a900)),x35412)),x35412) % 166.45/166.21 [3554]E(f182(x35541,f329(f329(f154(f906(x35541)),f118(x35541)),x35542)),f182(x35541,x35542)) % 166.45/166.21 [3558]E(f329(f329(f82(a905),x35581),f329(f329(f83(a905),x35581),x35582)),f329(f329(f83(a905),x35581),f329(a117,x35582))) % 166.45/166.21 [3565]E(f329(f329(a24,f329(a3,x35651)),f329(a3,x35652)),f329(a3,f329(f329(f23(a905),x35651),x35652))) % 166.45/166.21 [3578]E(f329(f329(f83(a1),f329(f81(a1),x35781)),x35782),f329(f81(a1),f329(f329(f83(a1),x35781),x35782))) % 166.45/166.21 [3580]E(f329(f329(f249(a1),f329(f105(a1),x35801)),x35802),f329(f105(a1),f329(f329(f249(a905),x35801),x35802))) % 166.45/166.21 [3581]E(f329(f329(f82(a104),f329(a3,x35811)),f329(a3,x35812)),f329(a3,f329(f329(f82(a905),x35811),x35812))) % 166.45/166.21 [3582]E(f329(f329(f83(a104),f329(a3,x35821)),f329(a3,x35822)),f329(a3,f329(f329(f83(a905),x35821),x35822))) % 166.45/166.21 [3583]E(f329(f329(f237(a905),f329(a117,x35831)),f329(a117,x35832)),f329(a117,f329(f329(f237(a905),x35831),x35832))) % 166.45/166.21 [3584]E(f329(f329(f238(a905),f329(a117,x35841)),f329(a117,x35842)),f329(a117,f329(f329(f238(a905),x35841),x35842))) % 166.45/166.21 [3589]E(f329(f175(a905),f142(a905,f329(f304(a905,x35891),x35892))),f329(f304(a905,x35891),x35892)) % 166.45/166.21 [3590]E(f314(x35901,f329(f329(f311(x35901),x35902),f191(f913(x35901,a900)))),x35902) % 166.45/166.21 [3594]E(f329(f287(x35941,x35942),f191(f913(f912(x35941,x35942),a900))),f191(f913(x35942,a900))) % 166.45/166.21 [3595]E(f329(f269(x35951,x35952),f191(f913(f912(x35951,x35952),a900))),f191(f913(x35951,a900))) % 166.45/166.21 [3599]E(f329(a109,f329(f329(f23(a1),x35991),x35992)),f329(f37(a1),f307(a1,x35992,x35991))) % 166.45/166.21 [3604]E(f329(f329(f82(a905),x36041),f329(f329(f83(a905),x36042),x36041)),f329(f329(f83(a905),f329(a117,x36042)),x36041)) % 166.45/166.21 [3606]E(f329(f329(f62(x36061),f191(f913(x36061,a900))),x36062),f191(f913(f913(x36061,a900),a900))) % 166.45/166.21 [3615]E(f329(f192(f906(a905)),f142(a905,f329(f304(a905,x36151),x36152))),f329(f329(f23(a905),x36152),x36151)) % 166.45/166.21 [3632]E(f329(f329(f115(f913(x36321,a900)),f191(f913(x36321,a900))),x36322),x36322) % 166.45/166.21 [3633]E(f329(f329(f106(f913(x36331,a900)),f247(f913(x36331,a900))),x36332),x36332) % 166.45/166.21 [3636]E(f329(f329(f82(a1),f329(f81(a1),x36361)),f329(f81(a1),x36362)),f329(f81(a1),f329(f329(f82(a1),x36361),x36362))) % 166.45/166.21 [3639]E(f329(f329(f82(a1),f329(f105(a1),x36391)),f329(f105(a1),x36392)),f329(f105(a1),f329(f329(f82(a905),x36391),x36392))) % 166.45/166.21 [3640]E(f329(f329(f82(a1),f329(f108(a1),x36401)),f329(f108(a1),x36402)),f329(f108(a1),f329(f329(f82(a1),x36401),x36402))) % 166.45/166.21 [3642]E(f329(f329(f83(a1),f329(f105(a1),x36421)),f329(f105(a1),x36422)),f329(f105(a1),f329(f329(f83(a905),x36421),x36422))) % 166.45/166.21 [3643]E(f329(f329(f83(a1),f329(f108(a1),x36431)),f329(f108(a1),x36432)),f329(f108(a1),f329(f329(f83(a1),x36431),x36432))) % 166.45/166.21 [3644]E(f329(f329(f38(a1),f329(f105(a1),x36441)),f329(f105(a1),x36442)),f329(f105(a1),f329(f329(f38(a905),x36441),x36442))) % 166.45/166.21 [3662]E(f329(f329(f6(x36621,a905),f329(f16(a905,x36621),f80(a905))),x36622),f329(f37(x36621),x36622)) % 166.45/166.21 [3669]E(f329(f81(a1),f47(a1,f329(f81(a1),x36691),x36692)),f47(a1,x36691,f329(f81(a1),x36692))) % 166.45/166.21 [3671]E(f329(f175(a1),f181(x36711,f329(f329(f23(a1),x36712),f80(a1)))),f329(f304(a1,x36711),x36712)) % 166.45/166.21 [3675]P1(f329(f329(f239(a905),x36751),f329(f329(f82(a905),x36752),x36751))) % 166.45/166.21 [3676]P1(f329(f329(f239(a905),x36761),f329(f329(f82(a905),x36761),x36762))) % 166.45/166.21 [3679]E(f329(f329(f115(f913(x36791,a900)),f247(f913(x36791,a900))),x36792),f247(f913(x36791,a900))) % 166.45/166.21 [3680]E(f329(f329(f23(f913(x36801,a900)),f191(f913(x36801,a900))),x36802),f191(f913(x36801,a900))) % 166.45/166.21 [3681]E(f329(f329(f106(f913(x36811,a900)),f191(f913(x36811,a900))),x36812),f191(f913(x36811,a900))) % 166.45/166.21 [3688]E(f329(f329(f257(a1,a1),x36881),f329(f81(a1),x36882)),f329(a53,f329(f329(f257(a1,a1),x36881),x36882))) % 166.45/166.21 [3689]E(f329(f304(a1,f329(f329(f82(a1),x36891),f80(a1))),x36892),f308(a1,x36891,x36892)) % 166.45/166.21 [3700]E(f329(f329(f83(a905),x37001),f329(f329(f38(a905),x37002),x37001)),f329(f329(f23(a905),x37002),f47(a905,x37002,x37001))) % 166.45/166.21 [3701]E(f329(f329(f83(a1),x37011),f329(f329(f38(a1),x37012),x37011)),f329(f329(f23(a1),x37012),f47(a1,x37012,x37011))) % 166.45/166.21 [3705]E(f329(f175(a1),f181(f329(f329(f82(a1),x37051),f80(a1)),x37052)),f307(a1,x37051,x37052)) % 166.45/166.21 [3709]P1(f329(f329(f239(f913(x37091,a900)),x37092),x37092)) % 166.45/166.21 [3712]E(f329(f329(f115(f913(x37121,a900)),x37122),f329(f81(f913(x37121,a900)),x37122)),f247(f913(x37121,a900))) % 166.45/166.21 [3713]E(f329(f329(f106(f913(x37131,a900)),x37132),f329(f81(f913(x37131,a900)),x37132)),f191(f913(x37131,a900))) % 166.45/166.21 [3721]E(f329(f329(f23(a905),f329(f329(f23(a905),x37211),f80(a905))),x37212),f329(f329(f23(a905),x37211),f329(a117,x37212))) % 166.45/166.21 [3727]E(f329(f329(f23(f913(x37271,a900)),f247(f913(x37271,a900))),x37272),f329(f81(f913(x37271,a900)),x37272)) % 166.45/166.21 [3728]E(f329(f329(f23(a1),f329(f108(a1),x37281)),f329(f108(a1),x37282)),f329(f108(a1),f329(f329(f82(a1),x37281),f329(f81(a1),x37282)))) % 166.45/166.21 [3741]E(f329(f175(a905),f142(a905,f329(f304(a905,x37411),f329(a117,x37412)))),f305(a905,x37411,x37412)) % 166.45/166.21 [3757]E(f329(f192(f906(f906(x37571))),f56(x37571,x37572)),f329(f329(f249(a905),f329(a117,f329(a117,f2(a905)))),f329(f192(f906(x37571)),x37572))) % 166.45/166.21 [3776]E(f329(f329(f186(f912(x37761,x37761),a900),f2(a905)),x37762),f309(x37761,f191(f913(f912(x37761,x37761),a900)))) % 166.45/166.21 [3780]P1(f329(f140(a905),f142(a905,f329(f304(a905,x37801),x37802)))) % 166.45/166.21 [3797]E(f329(f312(a1,a905,a109),f305(a1,f329(f105(a1),x37971),f329(f105(a1),x37972))),f305(a905,x37971,x37972)) % 166.45/166.21 [3806]E(f188(a905,f2(a905),f5(a905),f329(f329(f23(a905),x38061),x38062)),f329(f329(f23(a905),x38061),f329(a117,x38062))) % 166.45/166.21 [3807]E(f329(a109,f329(f329(f23(a1),x38071),f329(f329(f82(a1),x38072),f80(a1)))),f329(f37(a1),f308(a1,x38072,x38071))) % 166.45/166.21 [3843]E(f329(f329(f157(a905,a905),a117),f142(a905,f329(f304(a905,x38431),x38432))),f142(a905,f329(f304(a905,f329(a117,x38431)),f329(a117,x38432)))) % 166.45/166.21 [3851]E(f329(f175(a1),f181(f329(f329(f82(a1),x38511),f80(a1)),f329(f329(f23(a1),x38512),f80(a1)))),f308(a1,x38511,x38512)) % 166.45/166.21 [3863]P1(f329(f329(f239(f913(x38631,a900)),f191(f913(x38631,a900))),x38632)) % 166.45/166.21 [3867]E(f87(x38671,f329(f329(f7(x38671,x38671,a900),a326),x38672)),x38672) % 166.45/166.21 [3868]E(f92(x38681,f329(f329(f7(x38681,x38681,a900),a326),x38682)),x38682) % 166.45/166.21 [3872]E(f329(f175(a905),f142(a905,f329(f304(a905,f329(a117,x38721)),f329(a117,x38722)))),f307(a905,x38721,x38722)) % 166.45/166.21 [3898]E(f329(f329(f259(x38981,x38982),f247(f913(x38981,a900))),f329(f16(f913(x38982,a900),x38981),f247(f913(x38982,a900)))),f247(f913(f912(x38981,x38982),a900))) % 166.45/166.21 [3933]E(f329(f267(x39331),f329(f329(f8(a900,a900,x39331),a324),x39332)),f329(f81(f913(x39331,a900)),f329(f267(x39331),x39332))) % 166.45/166.21 [3936]E(f329(f267(x39361),f329(f329(f7(x39361,x39361,a900),a326),x39362)),f329(f329(f311(x39361),x39362),f191(f913(x39361,a900)))) % 166.45/166.21 [3943]E(f329(f329(f82(a1),f329(f329(f23(a1),x39431),x39432)),f329(f329(f23(a1),x39431),x39432)),f329(f329(f23(a1),f329(f329(f82(a1),x39431),x39431)),f329(f329(f82(a1),x39432),x39432))) % 166.45/166.21 [3944]E(f329(f329(f82(a1),f329(f329(f82(a1),x39441),x39441)),f329(f329(f82(a1),x39442),x39442)),f329(f329(f82(a1),f329(f329(f82(a1),x39441),x39442)),f329(f329(f82(a1),x39441),x39442))) % 166.45/166.21 [3959]P1(f329(f329(f239(a905),f329(f37(x39591),f329(f175(x39591),x39592))),f329(f192(f906(x39591)),x39592))) % 166.45/166.21 [3960]P1(f329(f329(f239(a905),f329(f192(f906(x39601)),f155(x39601,x39602))),f329(f192(f906(x39601)),x39602))) % 166.45/166.21 [3971]E(f329(f267(x39711),f329(f329(f7(x39711,f913(x39711,a900),a900),f331(x39711)),x39712)),x39712) % 166.45/166.21 [3985]E(f329(f329(f178(x39851),f329(f329(f23(a905),f329(f192(f906(x39851)),x39852)),f80(a905))),x39852),f119(x39851,x39852)) % 166.45/166.21 [4006]E(f188(a905,f2(a905),f329(f329(f8(a905,a905,a905),a117),f329(f237(a905),x40061)),x40062),f329(f329(f237(a905),f329(a117,x40061)),x40062)) % 166.45/166.21 [4011]E(f39(f913(x40111,a900),f329(f312(f913(f912(x40111,x40111),a900),f913(x40111,a900),f284(x40111)),x40112)),f329(f284(x40111),f39(f913(f912(x40111,x40111),a900),x40112))) % 166.45/166.21 [4012]E(f188(a905,f329(a117,x40121),f329(f329(f8(a905,a905,a905),a117),f329(f238(a905),x40121)),x40122),f329(f329(f238(a905),f329(a117,x40121)),x40122)) % 166.45/166.21 [4014]E(f329(f329(f257(a1,a1),f329(f329(f38(a1),f329(f77(a1),x40141)),f329(f77(a1),x40142))),f47(a1,f329(f77(a1),x40141),f329(f77(a1),x40142))),f55(x40141,x40142)) % 166.45/166.21 [4036]P1(f329(f329(f239(f913(f913(x40361,a900),a900)),x40362),f329(f310(x40361),f39(f913(x40361,a900),x40362)))) % 166.45/166.21 [4068]E(f329(f329(f41(x40681,f913(x40681,a900)),x40682),f329(f329(f7(x40681,f913(x40681,a900),f913(x40681,a900)),f311(x40681)),f191(f913(x40681,a900)))),x40682) % 166.45/166.21 [4069]E(f329(f329(f291(x40691,x40691,x40691),f329(f289(x40691,x40691),x40692)),f309(x40691,f329(f289(x40691,x40691),x40692))),f329(f289(x40691,x40691),f329(f329(f291(x40691,x40691,x40691),x40692),f309(x40691,x40692)))) % 166.45/166.21 [4134]E(f329(f175(x41341),f329(f145(f906(x41341),f906(x41341),f137(x41341),f118(x41341)),x41342)),f329(f329(f41(f906(x41341),f913(x41341,a900)),f329(f175(f906(x41341)),x41342)),f175(x41341))) % 166.45/166.21 [4165]E(f329(f329(f115(f913(f912(x41651,x41651),a900)),f309(x41651,f191(f913(f912(x41651,x41651),a900)))),f329(f329(f291(x41651,x41651,x41651),f309(x41651,x41652)),x41652)),f309(x41651,x41652)) % 166.45/166.21 [4201]E(f329(f329(f184(x42011,x42011),x42012),x42012),f329(f329(f157(x42011,f912(x42011,x42011)),f329(f329(f18(x42011,x42011,f912(x42011,x42011)),f257(x42011,x42011)),f5(x42011))),x42012)) % 166.45/166.21 [4312]E(f329(f145(a905,f906(x43121),f329(f7(f906(x43121),a905,a905),f329(f329(f8(a905,f913(a905,a905),f906(x43121)),f238(a905)),f192(f906(x43121)))),f2(a905)),f329(f171(f906(x43121)),x43122)),f329(f192(f906(f906(x43121))),f182(x43121,x43122))) % 166.45/166.21 [4384]E(f329(f329(f290(f912(a905,f906(x43841)),f906(x43841)),f322(a905,f906(x43841),a245,f148(x43841,x43842))),f329(f329(f18(f906(x43841),f906(x43841),f912(a905,f906(x43841))),f329(f329(f8(a905,f913(f906(x43841),f912(a905,f906(x43841))),f906(x43841)),f257(a905,f906(x43841))),f192(f906(x43841)))),f5(f906(x43841)))),f149(x43841,x43842)) % 166.45/166.21 [4511]E(f329(f267(x45111),f329(f329(f8(f913(f913(x45111,a900),a900),a900,x45111),f90(f913(x45111,a900))),f329(f329(f8(f913(f913(x45111,a900),a900),f913(f913(x45111,a900),a900),x45111),f329(f18(f913(x45111,a900),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x45111,a900)),a332),f329(f329(f7(f913(x45111,a900),f913(f913(x45111,a900),a900),a900),f331(f913(x45111,a900))),x45112)))),f331(x45111)))),f40(f913(x45111,a900),x45112)) % 166.45/166.21 [4512]E(f329(f267(x45121),f329(f329(f8(f913(f913(x45121,a900),a900),a900,x45121),f89(f913(x45121,a900))),f329(f329(f8(f913(f913(x45121,a900),a900),f913(f913(x45121,a900),a900),x45121),f329(f18(f913(x45121,a900),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x45121,a900)),a327),f329(f329(f7(f913(x45121,a900),f913(f913(x45121,a900),a900),a900),f331(f913(x45121,a900))),x45122)))),f331(x45121)))),f39(f913(x45121,a900),x45122)) % 166.45/166.21 [4652]~P1(f329(f329(f240(a1),f329(f105(a1),x46521)),f329(f81(a1),f329(f105(a1),x46522)))) % 166.45/166.21 [3602]E(f329(f329(f23(a905),f329(f329(f82(a905),x36021),x36022)),x36022),x36021) % 166.45/166.21 [3603]E(f329(f329(f23(a905),f329(f329(f82(a905),x36031),x36032)),x36031),x36032) % 166.45/166.21 [3670]E(f329(f329(f82(a905),f329(f329(f23(a905),x36701),x36702)),x36702),f329(f329(f238(a905),x36701),x36702)) % 166.45/166.21 [3783]E(f329(f329(f83(a905),f329(f329(f38(a905),x37831),x37832)),x37832),f329(f329(f23(a905),x37831),f47(a905,x37831,x37832))) % 166.45/166.21 [3811]E(f329(f175(a905),f142(a905,f329(f304(a905,f329(a117,x38111)),x38112))),f308(a905,x38111,x38112)) % 166.45/166.21 [3819]E(f329(f105(a1),f220(f329(a109,f329(f77(a1),x38191)),f329(a109,f329(f77(a1),x38192)))),f329(f329(a221,x38191),x38192)) % 166.45/166.21 [3821]E(f329(f329(f115(f913(x38211,a900)),f329(f81(f913(x38211,a900)),x38212)),x38212),f247(f913(x38211,a900))) % 166.45/166.21 [3822]E(f329(f329(f106(f913(x38221,a900)),f329(f81(f913(x38221,a900)),x38222)),x38222),f191(f913(x38221,a900))) % 166.45/166.21 [3839]P1(f329(f329(f239(a905),f329(f329(f23(a905),x38391),x38392)),x38391)) % 166.45/166.21 [3840]P1(f329(f329(f239(a905),f329(f329(f38(a905),x38401),x38402)),x38401)) % 166.45/166.21 [3864]P1(f329(f329(f240(a905),x38641),f329(a117,f329(f329(f82(a905),x38642),x38641)))) % 166.45/166.21 [3865]P1(f329(f329(f240(a905),x38651),f329(a117,f329(f329(f82(a905),x38651),x38652)))) % 166.45/166.21 [3882]E(f329(f329(f83(a905),f329(a109,f329(f77(a1),x38821))),f329(a109,f329(f77(a1),x38822))),f329(a109,f329(f77(a1),f329(f329(f83(a1),x38821),x38822)))) % 166.45/166.21 [3894]P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x38941)),x38942))) % 166.45/166.21 [3964]E(f329(f288(f906(x39641),f906(x39641),f161(x39641,x39642)),f329(f329(f311(f906(x39641)),f118(x39641)),f191(f913(f906(x39641),a900)))),f329(f329(f311(f906(x39641)),f118(x39641)),f191(f913(f906(x39641),a900)))) % 166.45/166.21 [3983]E(f329(f329(f115(f913(f912(x39831,x39831),a900)),f309(x39831,x39832)),f309(x39831,f191(f913(f912(x39831,x39831),a900)))),f309(x39831,x39832)) % 166.45/166.21 [3996]E(f329(f329(f38(a1),f329(f108(a1),f329(f329(f82(a1),x39961),x39961))),f329(f108(a1),f329(f329(f82(a1),x39962),x39962))),f329(f329(f38(a1),f329(f108(a1),x39961)),f329(f108(a1),x39962))) % 166.45/166.21 [4058]E(f329(f329(f249(a1),x40581),f329(f108(a905),f329(f329(f82(a1),x40582),x40582))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x40581),f329(f108(a905),x40582))),f329(f329(f18(a1,a1,a1),f83(a1)),f5(a1)))) % 166.45/166.21 [4064]E(f329(f267(f913(x40641,a900)),f329(f329(f7(f913(x40641,a900),f913(x40641,a900),a900),f239(f913(x40641,a900))),x40642)),f329(f310(x40641),x40642)) % 166.45/166.21 [4080]E(f329(f329(f157(a1,a905),a109),f329(f329(f137(a1),f329(f329(f157(a905,a1),f105(a1)),x40801)),f329(f329(f157(a905,a1),f105(a1)),x40802))),f329(f329(f137(a905),x40801),x40802)) % 166.45/166.21 [4112]E(f329(f312(a1,a1,f329(f329(f7(a1,a1,a1),f82(a1)),x41121)),f329(f304(a1,f2(a1)),f329(f329(f23(a1),x41122),x41121))),f329(f304(a1,x41121),x41122)) % 166.45/166.21 [4114]P56(x41141,f329(f329(f23(f913(f912(x41141,x41141),a900)),x41142),f309(x41141,f191(f913(f912(x41141,x41141),a900))))) % 166.45/166.21 [4132]E(f329(f192(f906(x41321)),f329(f145(f906(x41321),f906(x41321),f137(x41321),f118(x41321)),x41322)),f329(f168(a905),f329(f329(f157(f906(x41321),a905),f192(f906(x41321))),x41322))) % 166.45/166.21 [4136]P55(x41361,f247(f913(x41361,a900)),f329(f329(f115(f913(f912(x41361,x41361),a900)),x41362),f309(x41361,f191(f913(f912(x41361,x41361),a900))))) % 166.45/166.21 [4181]E(f188(a905,f2(a905),f329(f329(f8(a905,a905,a905),a117),f329(f329(f7(a905,a905,a905),f237(a905)),x41811)),x41812),f329(f329(f237(a905),x41812),f329(a117,x41811))) % 166.45/166.21 [4184]E(f188(a905,f329(a117,x41841),f329(f329(f8(a905,a905,a905),a117),f329(f329(f7(a905,a905,a905),f238(a905)),x41841)),x41842),f329(f329(f238(a905),x41842),f329(a117,x41841))) % 166.45/166.21 [4187]E(f329(f312(x41871,f906(x41871),f329(f329(f7(x41871,f906(x41871),f906(x41871)),f154(x41871)),f118(x41871))),x41872),f177(x41871,x41872,f329(f329(f311(f906(x41871)),f118(x41871)),f191(f913(f906(x41871),a900))))) % 166.45/166.21 [4189]E(f329(f329(f115(f913(f912(x41891,x41891),a900)),f329(f329(f291(x41891,x41891,x41891),x41892),f309(x41891,x41892))),f309(x41891,f191(f913(f912(x41891,x41891),a900)))),f309(x41891,x41892)) % 166.45/166.21 [4196]P1(f329(f329(f239(f913(f912(x41961,x41961),a900)),f268(x41961,x41962)),f329(f329(f259(x41961,x41961),x41962),f329(f16(f913(x41961,a900),x41961),x41962)))) % 166.45/166.21 [4199]E(f329(f312(a1,a905,a109),f329(f329(f115(f913(a1,a900)),f329(f312(a905,a1,f105(a1)),x41991)),f329(f312(a905,a1,f105(a1)),x41992))),f329(f329(f115(f913(a905,a900)),x41991),x41992)) % 166.45/166.21 [4200]E(f329(f312(a1,a905,a109),f329(f329(f106(f913(a1,a900)),f329(f312(a905,a1,f105(a1)),x42001)),f329(f312(a905,a1,f105(a1)),x42002))),f329(f329(f106(f913(a905,a900)),x42001),x42002)) % 166.45/166.21 [4203]E(f329(f267(x42031),f329(f329(f8(a900,a900,x42031),a324),f329(f329(f7(x42031,f913(x42031,a900),a900),f331(x42031)),x42032))),f329(f81(f913(x42031,a900)),x42032)) % 166.45/166.21 [4230]E(f329(f145(f906(x42301),f906(x42301),f137(x42301),f118(x42301)),f329(f329(f157(f906(x42301),f906(x42301)),f171(x42301)),f329(f171(f906(x42301)),x42302))),f329(f171(x42301),f329(f145(f906(x42301),f906(x42301),f137(x42301),f118(x42301)),x42302))) % 166.45/166.21 [4256]E(f329(f329(f41(a905,f913(f912(x42561,x42561),a900)),f247(f913(a905,a900))),f329(f329(f7(a905,f913(f912(x42561,x42561),a900),f913(f912(x42561,x42561),a900)),f186(f912(x42561,x42561),a900)),x42562)),f309(x42561,x42562)) % 166.45/166.21 [4274]E(f87(x42741,f329(f329(f8(f913(x42741,a900),a900,x42741),f329(a326,x42742)),f329(f329(f7(x42741,f913(x42741,a900),f913(x42741,a900)),f311(x42741)),f191(f913(x42741,a900))))),f314(x42741,x42742)) % 166.45/166.21 [4282]E(f329(f192(f906(x42821)),f155(x42821,f329(f145(f906(x42821),f906(x42821),f137(x42821),f118(x42821)),x42822))),f329(f37(x42821),f329(f329(f41(f906(x42821),f913(x42821,a900)),f329(f175(f906(x42821)),x42822)),f175(x42821)))) % 166.45/166.21 [4296]E(f329(f329(f115(f913(f912(x42961,x42961),a900)),x42962),f329(f329(f291(x42961,x42961,x42961),f329(f329(f291(x42961,x42961,x42961),x42962),f309(x42961,x42962))),x42962)),f329(f329(f291(x42961,x42961,x42961),x42962),f309(x42961,x42962))) % 166.45/166.21 [4320]P1(f329(f329(f239(f913(f912(x43201,x43201),a900)),f329(f329(f291(x43201,x43201,x43201),x43202),f309(x43201,x43202))),f329(f329(f259(x43201,x43201),f329(f284(x43201),x43202)),f329(f16(f913(x43201,a900),x43201),f329(f284(x43201),x43202))))) % 166.45/166.21 [4361]E(f329(f267(f906(x43611)),f329(f329(f7(f906(x43611),f913(x43611,a900),a900),f329(f329(f8(f913(x43611,a900),f913(f913(x43611,a900),a900),f906(x43611)),f239(f913(x43611,a900))),f175(x43611))),x43612)),f164(x43611,x43612)) % 166.45/166.21 [4372]E(f329(f159(f906(x43721),x43721,f118(x43721),f329(f329(f8(f906(x43721),f913(f906(x43721),f906(x43721)),x43721),f329(f7(f906(x43721),f906(x43721),f906(x43721)),f137(x43721))),f329(f329(f7(x43721,f906(x43721),f906(x43721)),f154(x43721)),f118(x43721)))),x43722),f329(f170(x43721),x43722)) % 166.45/166.21 [4412]P24(f913(x44121,x44122),f913(f912(x44121,x44122),a900),f329(f329(f8(f913(f912(x44121,x44122),a900),f913(f912(x44121,x44122),a900),f913(x44121,x44122)),f267(f912(x44121,x44122))),f329(f329(f8(f913(x44121,f913(x44122,a900)),f913(f912(x44121,x44122),a900),f913(x44121,x44122)),f262(x44121,x44122,a900)),f329(f8(x44122,f913(x44122,a900),x44121),f329(f7(x44122,x44122,a900),a326)))),f247(f913(f913(x44121,x44122),a900))) % 166.45/166.21 [4417]E(f47(a1,f329(f108(a1),f329(f329(f82(a1),x44171),x44171)),f329(f108(a1),f329(f329(f82(a1),x44172),x44172))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a1,f329(f108(a1),x44171),f329(f108(a1),x44172)))) % 166.45/166.21 [4461]E(f329(f329(f41(x44611,f913(f912(x44611,x44611),a900)),x44612),f329(f329(f7(x44611,f913(f912(x44611,x44611),a900),f913(f912(x44611,x44611),a900)),f329(f329(f8(f912(x44611,x44611),f913(f913(f912(x44611,x44611),a900),f913(f912(x44611,x44611),a900)),x44611),f311(f912(x44611,x44611))),f329(f329(f18(x44611,x44611,f912(x44611,x44611)),f257(x44611,x44611)),f5(x44611)))),f191(f913(f912(x44611,x44611),a900)))),f268(x44611,x44612)) % 166.45/166.21 [4469]E(f206(x44691,f329(f329(f257(a1,a1),f329(f81(a1),f329(f329(f74(f912(a1,a1),a1,x44691,f256(a1,a1)),f216(x44691)),x44692))),f329(f329(f74(f912(a1,a1),a1,x44691,f261(a1,a1)),f216(x44691)),x44692))),f231(x44691,x44692)) % 166.45/166.21 [4551]E(f329(f267(f913(x45511,a900)),f329(f329(f8(f913(f913(x45511,a900),a900),a900,f913(x45511,a900)),f89(f913(x45511,a900))),f329(f329(f7(f913(x45511,a900),f913(f913(x45511,a900),a900),f913(f913(x45511,a900),a900)),f329(f329(f8(f913(f913(x45511,a900),f913(a900,a900)),f913(f913(f913(x45511,a900),a900),f913(f913(x45511,a900),a900)),f913(x45511,a900)),f18(f913(x45511,a900),a900,a900)),f329(f329(f8(f913(f913(x45511,a900),a900),f913(f913(x45511,a900),f913(a900,a900)),f913(x45511,a900)),f329(f8(a900,f913(a900,a900),f913(x45511,a900)),a327)),f329(f329(f7(f913(x45511,a900),f913(f913(x45511,a900),f913(x45511,a900)),f913(f913(x45511,a900),a900)),f329(f329(f8(f913(f913(x45511,a900),a900),f913(f913(f913(x45511,a900),f913(x45511,a900)),f913(f913(x45511,a900),a900)),f913(x45511,a900)),f8(f913(x45511,a900),a900,f913(x45511,a900))),a326)),f81(f913(x45511,a900)))))),f329(f329(f8(f913(f913(x45511,a900),a900),a900,f913(x45511,a900)),f329(f331(f913(x45511,a900)),x45512)),f310(x45511))))),f329(f310(x45511),f329(f81(f913(x45511,a900)),x45512))) % 166.45/166.21 [4650]~E(f329(f329(f82(a1),x46501),x46501),f329(f329(f23(a1),f329(f329(f82(a1),x46502),x46502)),a102)) % 166.45/166.21 [4654]~P1(f329(f329(f240(a905),f329(f329(f82(a905),x46541),x46542)),x46542)) % 166.45/166.21 [4655]~P1(f329(f329(f240(a905),f329(f329(f82(a905),x46551),x46552)),x46551)) % 166.45/166.21 [3899]E(f329(f329(f23(a905),x38991),f329(f329(f83(a905),f329(f329(f38(a905),x38991),x38992)),x38992)),f47(a905,x38991,x38992)) % 166.45/166.21 [3900]E(f329(f329(f23(a1),x39001),f329(f329(f83(a1),f329(f329(f38(a1),x39001),x39002)),x39002)),f47(a1,x39001,x39002)) % 166.45/166.21 [3934]E(f329(f329(f157(a905,x39341),f329(f167(x39341),x39342)),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(x39341)),x39342)))),x39342) % 166.45/166.21 [3992]E(f329(f288(x39921,x39921,f309(x39921,f191(f913(f912(x39921,x39921),a900)))),x39922),x39922) % 166.45/166.21 [4117]E(f309(x41171,f329(f329(f115(f913(f912(x41171,x41171),a900)),x41172),f309(x41171,f191(f913(f912(x41171,x41171),a900))))),f309(x41171,x41172)) % 166.45/166.21 [4118]E(f309(x41181,f329(f329(f23(f913(f912(x41181,x41181),a900)),x41182),f309(x41181,f191(f913(f912(x41181,x41181),a900))))),f309(x41181,x41182)) % 166.45/166.21 [4168]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x41681),x41681)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x41682),x41682)),a102)),f329(f329(f82(a1),f329(f329(f23(a1),x41681),x41682)),f329(f329(f23(a1),x41681),x41682))) % 166.45/166.21 [4208]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42081),x42082)),f329(f329(f82(a1),x42081),x42082))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x42081),x42081)),f329(f329(f23(a1),f329(f329(f82(a1),x42082),x42082)),a102))) % 166.45/166.21 [4233]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42331),x42331)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x42332),x42332)),a102)),f329(f329(f82(a1),f329(f329(f82(a1),x42331),f329(f329(f23(a1),x42332),a102))),f329(f329(f82(a1),x42331),f329(f329(f23(a1),x42332),a102)))) % 166.45/166.21 [4244]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),x42441),x42442)),f329(f329(f23(a1),x42441),x42442))),a102),f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42441),x42441)),a102)),f329(f329(f82(a1),x42442),x42442))) % 166.45/166.21 [4245]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42451),x42452)),f329(f329(f82(a1),x42451),x42452))),a102),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42451),x42451)),a102)),f329(f329(f82(a1),x42452),x42452))) % 166.45/166.21 [4293]E(f329(f105(a1),f329(f329(f38(a905),f329(f329(f83(a905),f329(a109,f329(f77(a1),x42931))),f329(a109,f329(f77(a1),x42932)))),f220(f329(a109,f329(f77(a1),x42931)),f329(a109,f329(f77(a1),x42932))))),f222(x42931,x42932)) % 166.45/166.21 [4338]E(f329(f329(f264(f912(a104,a104),a104,f912(a104,a104),f912(x43381,f912(a104,a104))),f272(f329(a3,f329(f192(f906(x43381)),x43382)))),f329(f329(f8(x43381,f913(f912(a104,a104),f912(x43381,f912(a104,a104))),a104),f257(x43381,f912(a104,a104))),f329(f329(f8(a905,x43381,a104),f329(f167(x43381),x43382)),a20))),f278(x43381,x43382)) % 166.45/166.21 [4418]E(f329(f145(a905,f906(x44181),f329(f7(f906(x44181),a905,a905),f329(f329(f8(a905,f913(a905,a905),f906(x44181)),f238(a905)),f192(f906(x44181)))),f2(a905)),f329(f171(f906(x44181)),f182(x44181,x44182))),f329(f192(f906(f906(x44181))),f329(f139(f906(x44181),f329(f329(f8(a900,a900,f906(x44181)),a324),f329(f329(f7(f906(x44181),f906(x44181),a900),a326),f118(x44181)))),x44182))) % 166.45/166.21 [4424]E(f329(f329(f41(a905,f913(x44241,a900)),f247(f913(a905,a900))),f329(f329(f7(a905,f913(a905,f913(x44241,a900)),f913(x44241,a900)),f329(f329(f8(f913(a905,a900),f913(f913(a905,f913(x44241,a900)),f913(x44241,a900)),a905),f41(a905,f913(x44241,a900))),f304(a905,f2(a905)))),x44242)),f329(f329(f41(a905,f913(x44241,a900)),f247(f913(a905,a900))),x44242)) % 166.45/166.21 [4446]P1(f329(f63(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),x44461)),f329(f329(f7(a905,a905,a900),f240(a905)),x44462))))) % 166.45/166.21 [4560]E(f329(f267(f912(f906(x45601),f906(x45601))),f329(f262(f906(x45601),f906(x45601),a900),f329(f329(f18(f906(x45601),f913(f906(x45601),a900),f913(f906(x45601),a900)),f329(f329(f8(f913(f906(x45601),f913(a900,a900)),f913(f913(f906(x45601),a900),f913(f906(x45601),a900)),f906(x45601)),f18(f906(x45601),a900,a900)),f329(f329(f8(f913(f906(x45601),a900),f913(f906(x45601),f913(a900,a900)),f906(x45601)),f329(f8(a900,f913(a900,a900),f906(x45601)),a328)),f329(f329(f7(f906(x45601),f913(f906(x45601),a905),f913(f906(x45601),a900)),f329(f329(f8(f913(a905,a900),f913(f913(f906(x45601),a905),f913(f906(x45601),a900)),f906(x45601)),f8(a905,a900,f906(x45601))),f329(f329(f8(a905,f913(a905,a900),f906(x45601)),f240(a905)),f192(f906(x45601))))),f192(f906(x45601)))))),f329(f329(f18(f906(x45601),f913(f906(x45601),a900),f913(f906(x45601),a900)),f329(f329(f8(f913(f906(x45601),f913(a900,a900)),f913(f913(f906(x45601),a900),f913(f906(x45601),a900)),f906(x45601)),f18(f906(x45601),a900,a900)),f329(f329(f8(f913(f906(x45601),a900),f913(f906(x45601),f913(a900,a900)),f906(x45601)),f329(f8(a900,f913(a900,a900),f906(x45601)),a327)),f329(f329(f7(f906(x45601),f913(f906(x45601),a905),f913(f906(x45601),a900)),f329(f329(f8(f913(a905,a900),f913(f913(f906(x45601),a905),f913(f906(x45601),a900)),f906(x45601)),f8(a905,a900,f906(x45601))),f329(f329(f8(a905,f913(a905,a900),f906(x45601)),a326),f192(f906(x45601))))),f192(f906(x45601)))))),f329(f329(f7(f906(x45601),f913(f912(f906(x45601),f906(x45601)),a900),f913(f906(x45601),a900)),f329(f329(f8(f913(f906(x45601),f913(f913(f912(f906(x45601),f906(x45601)),a900),a900)),f913(f913(f912(f906(x45601),f906(x45601)),a900),f913(f906(x45601),a900)),f906(x45601)),f7(f906(x45601),f913(f912(f906(x45601),f906(x45601)),a900),a900)),f329(f329(f8(f913(f906(x45601),f912(f906(x45601),f906(x45601))),f913(f906(x45601),f913(f913(f912(f906(x45601),f906(x45601)),a900),a900)),f906(x45601)),f329(f8(f912(f906(x45601),f906(x45601)),f913(f913(f912(f906(x45601),f906(x45601)),a900),a900),f906(x45601)),f331(f912(f906(x45601),f906(x45601))))),f257(f906(x45601),f906(x45601))))),f148(x45601,x45602)))))),f149(x45601,x45602)) % 166.45/166.21 [4236]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42361),x42362)),f329(f329(f83(a1),x42361),x42362))),x42362),f329(f329(f83(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42361),x42361)),a102)),x42362)) % 166.45/166.21 [4337]E(f329(a109,f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x43371),x43372)),f191(f913(f912(a905,a905),a900)))))),f329(f329(f23(a905),x43371),x43372)) % 166.45/166.21 [4341]E(f329(f329(f291(x43411,x43411,x43411),f329(f329(f115(f913(f912(x43411,x43411),a900)),x43412),f309(x43411,f191(f913(f912(x43411,x43411),a900))))),f309(x43411,f329(f329(f115(f913(f912(x43411,x43411),a900)),x43412),f309(x43411,f191(f913(f912(x43411,x43411),a900)))))),f309(x43411,x43412)) % 166.45/166.21 [4378]E(f273(x43781,f329(f139(f912(a104,x43781),f329(f262(a104,x43781,a900),f329(f329(f8(a900,f913(x43781,a900),a104),f16(a900,x43781)),f329(f240(a104),f2(a104))))),x43782)),f273(x43781,x43782)) % 166.45/166.21 [4379]E(f271(x43791,f329(f139(f912(a104,x43791),f329(f262(a104,x43791,a900),f329(f329(f8(a900,f913(x43791,a900),a104),f16(a900,x43791)),f329(f240(a104),f2(a104))))),x43792)),f271(x43791,x43792)) % 166.45/166.21 [4381]E(f329(f81(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x43811),x43812)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x43812),x43811)),f191(f913(f912(a905,a905),a900)))))) % 166.45/166.21 [4437]E(f329(f329(f290(f906(a905),x44371),f148(a905,a245)),f329(f329(f7(x44371,f906(f913(x44371,a905)),f906(a905)),f329(f329(f8(f913(f913(x44371,a905),a905),f913(f906(f913(x44371,a905)),f906(a905)),x44371),f157(f913(x44371,a905),a905)),f329(f7(f913(x44371,a905),x44371,a905),f5(f913(x44371,a905))))),x44372)),f156(x44371,x44372)) % 166.45/166.21 [4458]E(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x44581),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f2(a905))),f329(f329(f8(a905,a905,a1),a117),f329(f329(f8(a905,a905,a1),f329(f237(a905),x44582)),a109)))),f329(f329(f237(a905),f329(a117,x44582)),f329(f108(a905),x44581))) % 166.45/166.21 [4459]E(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x44591),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f329(a117,x44592))),f329(f329(f8(a905,a905,a1),a117),f329(f329(f8(a905,a905,a1),f329(f238(a905),x44592)),a109)))),f329(f329(f238(a905),f329(a117,x44592)),f329(f108(a905),x44591))) % 166.45/166.21 [4479]E(f329(f145(f906(x44791),f906(x44791),f137(x44791),f118(x44791)),f329(f329(f157(f906(x44791),f906(x44791)),f159(f906(x44791),x44791,f118(x44791),f329(f329(f8(f906(x44791),f913(f906(x44791),f906(x44791)),x44791),f16(f906(x44791),f906(x44791))),f329(f329(f7(x44791,f906(x44791),f906(x44791)),f154(x44791)),f118(x44791))))),x44792)),f329(f329(f157(f906(x44791),x44791),f144(x44791)),f329(f139(f906(x44791),f329(f329(f8(a900,a900,f906(x44791)),a324),f329(f329(f7(f906(x44791),f906(x44791),a900),a326),f118(x44791)))),x44792))) % 166.45/166.21 [4541]E(f329(f262(a1,a1,a900),f329(f329(f7(a1,f913(a1,a900),f913(a1,a900)),f329(f329(f8(f913(a1,f913(a900,a900)),f913(f913(a1,a900),f913(a1,a900)),a1),f18(a1,a900,a900)),f329(f329(f8(f913(a1,a900),f913(a1,f913(a900,a900)),a1),f329(f8(a900,f913(a900,a900),a1),a327)),f329(f329(f8(f913(a1,a1),f913(a1,a900),a1),f329(f8(a1,a900,a1),f329(a326,x45411))),f329(f329(f8(a1,f913(a1,a1),a1),f82(a1)),f329(f83(a1),x45412)))))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),f329(a332,f329(f329(f240(a1),f2(a1)),x45412))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f7(a1,a1,a900),f240(a1)),x45412))))),f329(f329(f8(a900,a900,a1),f329(a332,f329(a324,f329(f329(f240(a1),f2(a1)),x45412)))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f240(a1),x45412))),f329(f329(f7(a1,a1,a900),f239(a1)),f2(a1))))))),f51(x45411,x45412)) % 166.45/166.21 [4544]E(f329(f267(x45441),f329(f329(f8(f913(a905,a900),a900,x45441),f89(a905)),f329(f329(f7(x45441,f913(a905,a900),f913(a905,a900)),f329(f329(f8(f913(a905,f913(a900,a900)),f913(f913(a905,a900),f913(a905,a900)),x45441),f18(a905,a900,a900)),f329(f329(f8(f913(a905,a900),f913(a905,f913(a900,a900)),x45441),f329(f8(a900,f913(a900,a900),a905),a327)),f329(f329(f7(x45441,f913(a905,x45441),f913(a905,a900)),f329(f329(f8(f913(x45441,a900),f913(f913(a905,x45441),f913(a905,a900)),x45441),f8(x45441,a900,a905)),a326)),f329(f167(x45441),x45442))))),f329(f329(f7(a905,a905,a900),f240(a905)),f329(f192(f906(x45441)),x45442))))),f329(f175(x45441),x45442)) % 166.45/166.21 [4351]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x43511),a102)),x43512)),f329(f329(f23(a1),f329(f329(f82(a1),x43511),a102)),x43512))),a102),f329(f329(f23(a1),f329(f329(f82(a1),x43511),x43511)),f329(f329(f23(a1),f329(f329(f82(a1),x43512),x43512)),a102))) % 166.45/166.21 [4474]E(f329(f145(f906(f906(x44741)),f906(f906(x44741)),f137(f906(x44741)),f118(f906(x44741))),f329(f329(f157(f906(x44741),f906(f906(x44741))),f159(f906(f906(x44741)),x44741,f118(f906(x44741)),f329(f16(f913(f906(x44741),f906(f906(x44741))),x44741),f329(f329(f7(f906(x44741),f906(f906(x44741)),f906(f906(x44741))),f154(f906(x44741))),f118(f906(x44741)))))),x44742)),f329(f329(f157(f906(x44741),f906(x44741)),f174(x44741)),f329(f139(f906(x44741),f329(f329(f8(a900,a900,f906(x44741)),a324),f329(f329(f7(f906(x44741),f906(x44741),a900),a326),f118(x44741)))),x44742))) % 166.45/166.21 [4484]E(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x44841),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f2(a905))),f329(f329(f8(a905,a905,a1),a117),f329(f329(f7(a1,a905,a905),f329(f329(f8(a905,f913(a905,a905),a1),f237(a905)),a109)),x44842)))),f329(f329(f237(a905),f329(f108(a905),x44841)),f329(a117,x44842))) % 166.45/166.21 [4485]E(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x44851),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f329(a117,x44852))),f329(f329(f8(a905,a905,a1),a117),f329(f329(f7(a1,a905,a905),f329(f329(f8(a905,f913(a905,a905),a1),f238(a905)),a109)),x44852)))),f329(f329(f238(a905),f329(f108(a905),x44851)),f329(a117,x44852))) % 166.45/166.21 [4473]E(f329(f262(x44731,x44731,a900),f329(f329(f18(x44731,a900,f913(x44731,a900)),f329(f329(f8(f913(x44731,f913(a900,a900)),f913(a900,f913(x44731,a900)),x44731),f7(x44731,a900,a900)),f329(f329(f8(f913(x44731,a900),f913(x44731,f913(a900,a900)),x44731),f329(f8(a900,f913(a900,a900),x44731),a327)),a326))),x44732)),f268(x44731,x44732)) % 166.45/166.21 [4518]E(f329(f329(f38(a905),x45181),f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45182)),f329(f329(f38(a905),x45181),f329(a117,f329(a117,f329(a117,x45182))))) % 166.45/166.21 [4519]E(f47(a905,x45191,f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45192)),f47(a905,x45191,f329(a117,f329(a117,f329(a117,x45192))))) % 166.45/166.21 [4520]E(f47(a905,f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45201),x45202),f47(a905,f329(a117,f329(a117,f329(a117,x45201))),x45202)) % 166.45/166.21 [4532]E(f127(f329(x45321,f329(f329(f83(a104),f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45322))),f329(f204(x45321),x45322)) % 166.45/166.21 [4533]E(f329(f329(f38(a905),f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45331)),x45332),f329(f329(f38(a905),f329(a117,f329(a117,f329(a117,x45331)))),x45332)) % 166.45/166.21 [4582]~E(f32(x45821,x45822),f329(a26,x45823)) % 166.45/166.21 [4583]~E(f31(x45831,x45832),f329(a26,x45833)) % 166.45/166.21 [4584]~E(f329(a26,x45841),f32(x45842,x45843)) % 166.45/166.21 [4585]~E(f329(a26,x45851),f31(x45852,x45853)) % 166.45/166.21 [4598]~E(f29(x45981,x45982,x45983),a25) % 166.45/166.21 [4599]~E(f28(x45991,x45992,x45993),a25) % 166.45/166.21 [4603]~E(f130(x46031,x46032,x46033),f124(x46031)) % 166.45/166.21 [3328]E(f329(f195(x33281,x33282),x33283),f125(x33281,x33282)) % 166.45/166.21 [3347]E(f329(f203(x33471,x33472),x33473),f329(f133(x33471),x33472)) % 166.45/166.21 [3424]E(f329(f329(f157(x34241,x34242),x34243),f118(x34241)),f118(x34242)) % 166.45/166.21 [3464]E(f329(f187(x34641,x34642,x34643),f2(a905)),x34642) % 166.45/166.21 [3466]E(f329(f329(f184(x34661,x34662),x34663),f118(x34662)),f118(f912(x34661,x34662))) % 166.45/166.21 [3481]E(f329(f192(f906(x34811)),f172(x34811,x34812,x34813)),x34812) % 166.45/166.21 [3500]E(f87(x35001,f64(x35001,x35002,x35003)),f329(f65(x35001,x35002),x35003)) % 166.45/166.21 [3504]E(f248(x35041,x35042,f248(x35042,x35041,x35043)),x35043) % 166.45/166.21 [3524]E(f329(f171(x35241),f172(x35241,x35242,x35243)),f172(x35241,x35242,x35243)) % 166.45/166.21 [3551]E(f143(x35511,x35512,f155(x35511,x35513)),f155(x35511,f143(x35511,x35512,x35513))) % 166.45/166.21 [3569]E(f329(f256(f906(x35691),f906(x35691)),f169(x35691,x35692,x35693)),f329(f139(x35691,x35692),x35693)) % 166.45/166.21 [3611]E(f329(f329(f154(x36111),x36112),f172(x36111,x36113,x36112)),f172(x36111,f329(a117,x36113),x36112)) % 166.45/166.21 [3645]E(f188(x36451,x36452,x36453,f2(a905)),x36452) % 166.45/166.21 [3646]E(f17(x36461,x36462,x36463,f2(a104)),x36462) % 166.45/166.21 [3647]E(f19(x36471,x36472,x36473,f2(a104)),x36472) % 166.45/166.21 [3654]E(f166(x36541,x36542,x36543,f118(x36541)),f118(x36542)) % 166.45/166.21 [3660]E(f329(f329(f167(x36601),f329(f329(f154(x36601),x36602),x36603)),f2(a905)),x36602) % 166.45/166.21 [3690]E(f61(x36901,x36902,f118(x36901),x36903),f118(f912(x36901,x36902))) % 166.45/166.21 [3711]P24(x37111,x37112,x37113,f191(f913(x37111,a900))) % 166.45/166.21 [3815]E(f270(x38151,x38152,x38153),f329(f257(f913(a104,f913(a900,f909(f907(x38151)))),f912(a104,a104)),f43(x38151))) % 166.45/166.21 [3873]E(f329(f74(x38731,x38732,x38731,x38733),f33(x38731)),x38733) % 166.45/166.21 [4050]P1(f329(f329(f331(f912(x40501,x40501)),f329(f329(f257(x40501,x40501),x40502),x40502)),f309(x40501,x40503))) % 166.45/166.21 [4659]~P1(f329(f329(f331(f912(f906(x46591),f906(x46591))),f329(f329(f257(f906(x46591),f906(x46591)),x46592),f118(x46591))),f148(x46591,x46593))) % 166.45/166.21 [4660]~P1(f329(f329(f331(f912(f906(x46601),f906(x46601))),f329(f329(f257(f906(x46601),f906(x46601)),x46602),f118(x46601))),f150(x46601,x46603))) % 166.45/166.21 [4661]~P1(f329(f329(f331(f912(f906(x46611),f906(x46611))),f329(f329(f257(f906(x46611),f906(x46611)),x46612),f118(x46611))),f160(x46611,x46613))) % 166.45/166.21 [4662]~P1(f329(f329(f331(f912(f906(x46621),f906(x46621))),f329(f329(f257(f906(x46621),f906(x46621)),f118(x46621)),x46622)),f148(x46621,x46623))) % 166.45/166.21 [4663]~P1(f329(f329(f331(f912(f906(x46631),f906(x46631))),f329(f329(f257(f906(x46631),f906(x46631)),f118(x46631)),x46632)),f160(x46631,x46633))) % 166.45/166.21 [3398]E(f329(f329(f205(x33981),x33982),x33983),f206(x33981,f219(x33982,x33983))) % 166.45/166.21 [3453]E(f329(f289(x34531,x34532),f329(f289(x34532,x34531),x34533)),x34533) % 166.45/166.21 [3476]E(f329(f329(f184(x34761,x34762),f118(x34761)),x34763),f118(f912(x34761,x34762))) % 166.45/166.21 [3479]E(f179(x34791,x34792,f329(f285(a905),x34793)),f329(f329(f178(x34791),x34793),x34792)) % 166.45/166.21 [3497]E(f155(x34971,f329(f139(x34971,x34972),x34973)),f329(f139(x34971,x34972),f155(x34971,x34973))) % 166.45/166.21 [3498]E(f329(f287(x34981,x34982),f329(f289(x34982,x34981),x34983)),f329(f269(x34982,x34981),x34983)) % 166.45/166.21 [3499]E(f329(f269(x34991,x34992),f329(f289(x34992,x34991),x34993)),f329(f287(x34992,x34991),x34993)) % 166.45/166.21 [3517]E(f329(f139(x35171,x35172),f329(f171(x35171),x35173)),f329(f171(x35171),f329(f139(x35171,x35172),x35173))) % 166.45/166.21 [3530]E(f329(f329(f141(x35301),x35302),f329(f174(x35301),x35303)),f329(f329(f141(x35301),f329(a117,x35302)),x35303)) % 166.45/166.21 [3546]E(f30(f28(x35461,x35462,x35463)),f329(f329(f82(a905),f30(x35463)),f329(a117,f2(a905)))) % 166.45/166.21 [3547]E(f329(f312(x35471,x35472,x35473),f191(f913(x35471,a900))),f191(f913(x35472,a900))) % 166.45/166.21 [3548]E(f329(f313(x35481,x35482,x35483),f191(f913(x35482,a900))),f191(f913(x35481,a900))) % 166.45/166.21 [3549]E(f329(f313(x35491,x35492,x35493),f247(f913(x35492,a900))),f247(f913(x35491,a900))) % 166.45/166.21 [3550]E(f329(f288(x35501,x35502,x35503),f191(f913(x35501,a900))),f191(f913(x35502,a900))) % 166.45/166.21 [3576]E(f329(f329(f311(x35761),x35762),f329(f175(x35761),x35763)),f329(f175(x35761),f143(x35761,x35762,x35763))) % 166.45/166.21 [3664]E(f329(f192(a902),f28(x36641,x36642,x36643)),f329(f329(f82(a905),f329(f192(a902),x36643)),f329(a117,f2(a905)))) % 166.45/166.21 [3665]E(f329(f312(f912(x36651,x36652),x36652,f261(x36651,x36652)),x36653),f329(f287(x36651,x36652),x36653)) % 166.45/166.21 [3666]E(f329(f312(f912(x36661,x36662),x36661,f256(x36661,x36662)),x36663),f329(f269(x36661,x36662),x36663)) % 166.45/166.21 [3682]E(f329(f175(x36821),f172(x36821,f329(a117,x36822),x36823)),f329(f329(f311(x36821),x36823),f191(f913(x36821,a900)))) % 166.45/166.21 [3740]E(f329(f329(f257(x37401,x37402),f329(f256(x37401,x37402),x37403)),f329(f261(x37401,x37402),x37403)),x37403) % 166.45/166.21 [3748]E(f329(f192(f907(x37481)),f130(x37481,x37482,x37483)),f329(f329(f82(a905),f329(f192(f907(x37481)),x37483)),f329(a117,f2(a905)))) % 166.45/166.21 [3749]E(f329(f329(f262(x37491,x37492,x37491),f16(x37491,x37492)),x37493),f329(f256(x37491,x37492),x37493)) % 166.45/166.21 [3828]E(f30(f29(x38281,x38282,x38283)),f329(f329(f82(a905),f329(f329(f82(a905),f30(x38282)),f30(x38283))),f329(a117,f2(a905)))) % 166.45/166.21 [3878]E(f329(f74(x38781,x38781,x38782,f33(x38781)),x38783),x38783) % 166.45/166.21 [3885]E(f329(f329(f137(x38851),f172(x38851,x38852,x38853)),f329(f329(f154(x38851),x38853),f118(x38851))),f329(f329(f154(x38851),x38853),f172(x38851,x38852,x38853))) % 166.45/166.21 [3986]E(f329(f192(a902),f29(x39861,x39862,x39863)),f329(f329(f82(a905),f329(f329(f82(a905),f329(f192(a902),x39862)),f329(f192(a902),x39863))),f329(a117,f2(a905)))) % 166.45/166.21 [4059]P1(f329(f329(f239(f913(x40591,a900)),f329(f175(x40591),f329(f139(x40591,x40592),x40593))),f329(f175(x40591),x40593))) % 166.45/166.21 [4103]P1(f329(f329(f239(f913(x41031,a900)),f329(f175(x41031),f329(f329(f178(x41031),x41032),x41033))),f329(f175(x41031),x41033))) % 166.45/166.21 [4104]P1(f329(f329(f239(f913(x41041,a900)),f329(f175(x41041),f329(f329(f141(x41041),x41042),x41043))),f329(f175(x41041),x41043))) % 166.45/166.21 [4108]P1(f329(f329(f239(f913(x41081,a900)),f329(f175(x41081),f179(x41081,x41082,x41083))),f329(f175(x41081),x41082))) % 166.45/166.21 [4109]P1(f329(f329(f239(f913(x41091,a900)),f329(f175(x41091),f173(x41091,x41092,x41093))),f329(f175(x41091),x41093))) % 166.45/166.21 [4130]P24(f912(x41301,x41302),f912(x41302,x41301),f329(f262(x41301,x41302,f912(x41302,x41301)),f329(f7(x41302,x41301,f912(x41302,x41301)),f257(x41302,x41301))),x41303) % 166.45/166.21 [4141]E(f329(f329(f329(f186(f906(x41411),f906(x41411)),f47(a905,x41412,f329(f192(f906(x41411)),x41413))),f170(x41411)),x41413),f329(f329(f329(f186(f906(x41411),f906(x41411)),x41412),f170(x41411)),x41413)) % 166.45/166.21 [4185]P1(f329(f329(f331(f912(f906(x41851),f906(x41851))),f329(f329(f257(f906(x41851),f906(x41851)),x41852),x41852)),f161(x41851,f309(x41851,x41853)))) % 166.45/166.21 [4324]E(f87(f912(x43241,x43242),f329(f329(f18(f912(x43241,x43242),x43242,a900),f329(f329(f8(x43241,f913(x43242,a900),f912(x43241,x43242)),x43243),f256(x43241,x43242))),f261(x43241,x43242))),f87(f912(x43241,x43242),f329(f262(x43241,x43242,a900),x43243))) % 166.45/166.21 [4325]E(f92(f912(x43251,x43252),f329(f329(f18(f912(x43251,x43252),x43252,a900),f329(f329(f8(x43251,f913(x43252,a900),f912(x43251,x43252)),x43253),f256(x43251,x43252))),f261(x43251,x43252))),f92(f912(x43251,x43252),f329(f262(x43251,x43252,a900),x43253))) % 166.45/166.21 [4358]E(f329(f329(f290(f912(a905,x43581),x43581),f322(a905,x43581,a245,x43582)),f329(f329(f18(x43581,x43581,f912(a905,x43581)),f329(f329(f8(a905,f913(x43581,f912(a905,x43581)),x43581),f257(a905,x43581)),x43583)),f5(x43581))),f323(x43581,x43583,x43582)) % 166.45/166.21 [4420]E(f329(f263(x44201,x44201,x44202,x44202,f5(x44201),f5(x44202)),x44203),x44203) % 166.45/166.21 [4493]E(f329(f145(f906(f906(x44931)),f906(f906(x44931)),f137(f906(x44931)),f118(f906(x44931))),f329(f329(f157(f906(x44931),f906(f906(x44931))),f329(f329(f7(f906(x44931),f906(x44931),f906(f906(x44931))),f329(f329(f8(f913(x44931,f906(x44931)),f913(f906(x44931),f906(f906(x44931))),f906(x44931)),f157(x44931,f906(x44931))),f329(f7(x44931,f906(x44931),f906(x44931)),f154(x44931)))),x44932)),f57(x44931,x44933,x44932))),f57(x44931,f329(a117,x44933),x44932)) % 166.45/166.21 [4549]E(f227(a905,f912(x45491,f907(x45491)),f2(a905),f329(f262(x45491,f907(x45491),a905),f329(f329(f7(x45491,a905,f913(f907(x45491),a905)),f329(f329(f8(f913(f907(x45491),f913(a905,a905)),f913(a905,f913(f907(x45491),a905)),x45491),f7(f907(x45491),a905,a905)),f329(f329(f8(f913(f907(x45491),a905),f913(f907(x45491),f913(a905,a905)),x45491),f329(f8(a905,f913(a905,a905),f907(x45491)),f82(a905))),f329(f329(f7(x45491,f913(f907(x45491),a905),f913(f907(x45491),a905)),f329(f329(f8(f913(a905,a905),f913(f913(f907(x45491),a905),f913(f907(x45491),a905)),x45491),f8(a905,a905,f907(x45491))),f329(f329(f8(a905,f913(a905,a905),x45491),f82(a905)),x45492))),f129(x45491,x45492))))),f80(a905))),f329(f138(x45491),x45493)),f329(f129(x45491,x45492),x45493)) % 166.45/166.21 [4559]E(f329(f329(f88(a1,x45591),f222(f329(f329(f74(f912(a1,a1),a1,x45591,f261(a1,a1)),f216(x45591)),x45592),f329(f329(f74(f912(a1,a1),a1,x45591,f261(a1,a1)),f216(x45591)),x45593))),f329(f329(f18(a1,a1,x45591),f329(f329(f8(a1,f913(a1,x45591),a1),f205(x45591)),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f913(a1,a1),a1),f82(a1)),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f912(a1,a1),a1,x45591,f256(a1,a1)),f216(x45591)),x45592))),f329(f329(f7(a1,a1,a1),f38(a1)),f329(f329(f74(f912(a1,a1),a1,x45591,f261(a1,a1)),f216(x45591)),x45592))))),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f912(a1,a1),a1,x45591,f256(a1,a1)),f216(x45591)),x45593))),f329(f329(f7(a1,a1,a1),f38(a1)),f329(f329(f74(f912(a1,a1),a1,x45591,f261(a1,a1)),f216(x45591)),x45593)))))),f5(a1))),f234(x45591,x45592,x45593)) % 166.45/166.21 [4594]~E(f329(f329(f154(x45941),x45942),x45943),x45943) % 166.45/166.21 [4601]~E(f329(f329(f154(x46011),x46012),x46013),f118(x46011)) % 166.45/166.21 [4619]~E(f329(f329(f311(x46191),x46192),x46193),f191(f913(x46191,a900))) % 166.45/166.21 [4641]~E(f329(f312(x46411,f913(x46411,a900),x46412),x46413),f329(f310(x46411),x46413)) % 166.45/166.21 [3458]E(f329(f329(f162(x34581,f118(x34581)),x34582),x34583),f118(x34581)) % 166.45/166.21 [3459]E(f329(f144(x34591),f329(f329(f154(x34591),x34592),x34593)),x34592) % 166.45/166.21 [3460]E(f329(f174(x34601),f329(f329(f154(x34601),x34602),x34603)),x34603) % 166.45/166.21 [3503]E(f329(f329(f141(x35031),f80(a905)),f329(f329(f154(x35031),x35032),x35033)),x35033) % 166.45/166.21 [3537]E(f119(x35371,f329(f329(f141(x35371),x35372),x35373)),f329(f329(f141(x35371),x35372),f119(x35371,x35373))) % 166.45/166.21 [3539]E(f329(f329(f162(x35391,x35392),x35393),f329(f329(f167(x35391),x35392),x35393)),x35392) % 166.45/166.21 [3560]E(f329(f329(f311(x35601),x35602),f329(f329(f311(x35601),x35602),x35603)),f329(f329(f311(x35601),x35602),x35603)) % 166.45/166.21 [3572]E(f329(f329(f311(x35721),x35722),f329(f175(x35721),x35723)),f329(f175(x35721),f329(f329(f154(x35721),x35722),x35723))) % 166.45/166.21 [3574]E(f329(f329(f141(x35741),x35742),f329(f174(x35741),x35743)),f329(f174(x35741),f329(f329(f141(x35741),x35742),x35743))) % 166.45/166.21 [3585]E(f329(f329(f178(x35851),f80(a905)),f329(f329(f154(x35851),x35852),x35853)),f329(f329(f154(x35851),x35852),f118(x35851))) % 166.45/166.21 [3630]E(f329(f65(x36301,x36302),f329(f329(f311(x36301),x36303),f191(f913(x36301,a900)))),x36303) % 166.45/166.21 [3672]E(f329(f329(f82(a905),x36721),f329(f329(f82(a905),x36722),x36723)),f329(f329(f82(a905),x36722),f329(f329(f82(a905),x36721),x36723))) % 166.45/166.21 [3673]E(f329(f329(f82(a1),x36731),f329(f329(f82(a1),x36732),x36733)),f329(f329(f82(a1),x36732),f329(f329(f82(a1),x36731),x36733))) % 166.45/166.21 [3678]E(f329(f329(f259(x36781,x36782),f191(f913(x36781,a900))),x36783),f191(f913(f912(x36781,x36782),a900))) % 166.45/166.21 [3703]E(f329(f329(f115(f913(x37031,a900)),x37032),x37033),f329(f329(f115(f913(x37031,a900)),x37033),x37032)) % 166.45/166.21 [3704]E(f329(f329(f106(f913(x37041,a900)),x37042),x37043),f329(f329(f106(f913(x37041,a900)),x37043),x37042)) % 166.45/166.21 [3706]E(f329(f329(f137(x37061),x37062),f329(f329(f154(x37061),x37063),f118(x37061))),f329(f170(x37061),f329(f329(f154(x37061),x37063),x37062))) % 166.45/166.21 [3707]E(f329(f329(f137(x37071),f329(f171(x37071),x37072)),f329(f171(x37071),x37073)),f329(f171(x37071),f329(f329(f137(x37071),x37073),x37072))) % 166.45/166.21 [3717]E(f329(f174(x37171),f329(f329(f178(x37171),f329(a117,x37172)),x37173)),f329(f329(f178(x37171),x37172),f329(f174(x37171),x37173))) % 166.45/166.21 [3725]P1(f329(f329(f331(x37251),x37252),f329(f329(f311(x37251),x37252),x37253))) % 166.45/166.21 [3729]E(f329(f329(f42(x37291,f913(x37292,a900)),f191(f913(x37291,a900))),x37293),f247(f913(x37292,a900))) % 166.45/166.21 [3732]E(f329(f288(x37321,x37321,f268(x37321,x37322)),x37323),f329(f329(f106(f913(x37321,a900)),x37322),x37323)) % 166.45/166.21 [3747]E(f329(f192(f906(x37471)),f329(f329(f154(x37471),x37472),x37473)),f329(f329(f82(a905),f329(f192(f906(x37471)),x37473)),f329(a117,f2(a905)))) % 166.45/166.21 [3751]E(f119(x37511,f329(f329(f137(x37511),x37512),f329(f329(f154(x37511),x37513),f118(x37511)))),x37512) % 166.45/166.21 [3752]E(f147(x37521,f329(f329(f137(x37521),x37522),f329(f329(f154(x37521),x37523),f118(x37521)))),x37523) % 166.45/166.21 [3761]E(f329(f329(f137(x37611),f329(f329(f178(x37611),x37612),x37613)),f329(f329(f141(x37611),x37612),x37613)),x37613) % 166.45/166.21 [3770]E(f329(f329(f23(a905),f329(f329(f82(a905),x37701),x37702)),f329(f329(f82(a905),x37703),x37702)),f329(f329(f23(a905),x37701),x37703)) % 166.45/166.21 [3771]E(f329(f329(f23(a905),f329(f329(f82(a905),x37711),x37712)),f329(f329(f82(a905),x37711),x37713)),f329(f329(f23(a905),x37712),x37713)) % 166.45/166.21 [3777]E(f329(f329(f137(x37771),f329(f171(x37771),x37772)),f329(f329(f154(x37771),x37773),f118(x37771))),f329(f171(x37771),f329(f329(f154(x37771),x37773),x37772))) % 166.45/166.21 [3779]E(f329(f329(f82(a905),f329(f192(f906(x37791)),x37792)),f329(f192(f906(x37791)),x37793)),f329(f192(f906(x37791)),f329(f329(f137(x37791),x37792),x37793))) % 166.45/166.21 [3782]E(f329(f329(f82(a905),f329(f192(f906(x37821)),x37822)),f329(f192(f906(x37821)),x37823)),f329(f192(f906(x37821)),f176(x37821,x37822,x37823))) % 166.45/166.21 [3790]E(f329(f329(f115(f913(x37901,a900)),f329(f175(x37901),x37902)),f329(f175(x37901),x37903)),f329(f175(x37901),f329(f329(f137(x37901),x37902),x37903))) % 166.45/166.21 [3791]E(f47(a905,f329(f329(f83(a905),x37911),x37912),f329(f329(f83(a905),x37911),x37913)),f329(f329(f83(a905),x37911),f47(a905,x37912,x37913))) % 166.45/166.21 [3803]E(f329(f329(f178(x38031),f329(f329(f23(a905),x38032),f80(a905))),f329(f174(x38031),x38033)),f329(f174(x38031),f329(f329(f178(x38031),x38032),x38033))) % 166.45/166.21 [3808]E(f329(f329(f106(f913(x38081,a900)),x38082),f329(f81(f913(x38081,a900)),x38083)),f329(f329(f23(f913(x38081,a900)),x38082),x38083)) % 166.45/166.21 [3809]E(f329(f329(f23(f913(x38091,a900)),x38092),f329(f81(f913(x38091,a900)),x38093)),f329(f329(f106(f913(x38091,a900)),x38092),x38093)) % 166.45/166.21 [3832]E(f329(f329(f259(x38321,x38322),x38323),f329(f16(f913(x38322,a900),x38321),f191(f913(x38322,a900)))),f191(f913(f912(x38321,x38322),a900))) % 166.45/166.21 [3834]E(f329(f329(f23(a905),f329(f329(f83(a905),x38341),x38342)),f329(f329(f83(a905),x38341),x38343)),f329(f329(f83(a905),x38341),f329(f329(f23(a905),x38342),x38343))) % 166.45/166.21 [3835]E(f329(f329(f82(a905),f329(f329(f83(a905),x38351),x38352)),f329(f329(f83(a905),x38351),x38353)),f329(f329(f83(a905),x38351),f329(f329(f82(a905),x38352),x38353))) % 166.45/166.21 [3836]E(f329(f329(f23(a1),f329(f329(f83(a1),x38361),x38362)),f329(f329(f83(a1),x38361),x38363)),f329(f329(f83(a1),x38361),f329(f329(f23(a1),x38362),x38363))) % 166.45/166.21 [3837]E(f329(f329(f82(a1),f329(f329(f83(a1),x38371),x38372)),f329(f329(f83(a1),x38371),x38373)),f329(f329(f83(a1),x38371),f329(f329(f82(a1),x38372),x38373))) % 166.45/166.21 [3838]E(f329(f329(f83(a1),f329(f329(f249(a1),x38381),x38382)),f329(f329(f249(a1),x38381),x38383)),f329(f329(f249(a1),x38381),f329(f329(f82(a905),x38382),x38383))) % 166.45/166.21 [3852]E(f329(f329(f41(x38521,f913(x38522,a900)),x38523),f329(f16(f913(x38522,a900),x38521),f191(f913(x38522,a900)))),f191(f913(x38522,a900))) % 166.45/166.21 [3854]E(f47(a905,f329(f329(f83(a905),x38541),x38542),f329(f329(f83(a905),x38543),x38542)),f329(f329(f83(a905),f47(a905,x38541,x38543)),x38542)) % 166.45/166.21 [3859]E(f47(a1,f329(f329(f23(a1),x38591),f47(a1,x38592,x38593)),x38593),f47(a1,f329(f329(f23(a1),x38591),x38592),x38593)) % 166.45/166.21 [3860]E(f47(a1,f329(f329(f83(a1),x38601),f47(a1,x38602,x38603)),x38603),f47(a1,f329(f329(f83(a1),x38601),x38602),x38603)) % 166.45/166.21 [3861]P1(f329(f329(f239(f913(x38611,a900)),x38612),f329(f329(f311(x38611),x38613),x38612))) % 166.45/166.21 [3938]E(f329(f329(f42(f913(x39381,a900),f913(x39381,a900)),x39382),f329(f115(f913(x39381,a900)),x39383)),f329(f329(f115(f913(x39381,a900)),x39383),f40(f913(x39381,a900),x39382))) % 166.45/166.21 [3939]E(f329(f329(f41(f913(x39391,a900),f913(x39391,a900)),x39392),f329(f106(f913(x39391,a900)),x39393)),f329(f329(f106(f913(x39391,a900)),x39393),f39(f913(x39391,a900),x39392))) % 166.45/166.21 [3950]E(f329(f175(x39501),f329(f329(f329(f186(f906(x39501),f906(x39501)),x39502),f170(x39501)),x39503)),f329(f175(x39501),x39503)) % 166.45/166.21 [3954]E(f329(f329(f178(x39541),f329(f192(f906(x39541)),f180(x39541,x39542,x39543))),x39543),f180(x39541,x39542,x39543)) % 166.45/166.21 [3958]E(f329(f192(f906(x39581)),f329(f329(f329(f186(f906(x39581),f906(x39581)),x39582),f170(x39581)),x39583)),f329(f192(f906(x39581)),x39583)) % 166.45/166.21 [3961]E(f329(f329(f262(x39611,x39612,x39612),f329(f16(f913(x39612,x39612),x39611),f5(x39612))),x39613),f329(f261(x39611,x39612),x39613)) % 166.45/166.21 [3968]E(f47(a1,f329(f329(f23(a1),f47(a1,x39681,x39682)),x39683),x39682),f47(a1,f329(f329(f23(a1),x39681),x39683),x39682)) % 166.45/166.21 [3969]E(f47(a1,f329(f329(f249(a1),f47(a1,x39691,x39692)),x39693),x39692),f47(a1,f329(f329(f249(a1),x39691),x39693),x39692)) % 166.45/166.21 [3972]E(f329(f329(f41(f913(f912(x39721,x39722),a900),f913(x39722,a900)),x39723),f287(x39721,x39722)),f329(f287(x39721,x39722),f39(f913(f912(x39721,x39722),a900),x39723))) % 166.45/166.21 [3973]E(f329(f329(f41(f913(f912(x39731,x39732),a900),f913(x39731,a900)),x39733),f269(x39731,x39732)),f329(f269(x39731,x39732),f39(f913(f912(x39731,x39732),a900),x39733))) % 166.45/166.21 [3997]E(f329(f74(x39971,x39971,x39971,x39972),f329(f329(f186(x39971,x39971),x39973),x39972)),f329(f329(f186(x39971,x39971),f329(a117,x39973)),x39972)) % 166.45/166.21 [4015]E(f329(f329(f141(x40151),f329(f329(f23(a905),f329(f192(f906(x40151)),x40152)),x40153)),f329(f171(x40151),x40152)),f329(f171(x40151),f329(f329(f178(x40151),x40153),x40152))) % 166.45/166.21 [4016]E(f329(f329(f178(x40161),f329(f329(f23(a905),f329(f192(f906(x40161)),x40162)),x40163)),f329(f171(x40161),x40162)),f329(f171(x40161),f329(f329(f141(x40161),x40163),x40162))) % 166.45/166.21 [4018]E(f329(f329(f82(a905),f329(f168(a905),f329(f329(f157(x40181,a905),x40182),x40183))),f329(f192(f906(x40181)),x40183)),f158(x40181,x40182,x40183)) % 166.45/166.21 [4037]E(f329(f170(x40371),f329(f329(f329(f186(f906(x40371),f906(x40371)),x40372),f170(x40371)),x40373)),f329(f329(f329(f186(f906(x40371),f906(x40371)),f329(a117,x40372)),f170(x40371)),x40373)) % 166.45/166.21 [4051]P1(f329(f329(f239(a905),f329(f192(f906(x40511)),f329(f139(x40511,x40512),x40513))),f329(f192(f906(x40511)),x40513))) % 166.45/166.21 [4067]E(f329(f329(f115(f913(f913(x40671,a900),a900)),f329(f310(x40671),x40672)),f329(f312(f913(x40671,a900),f913(x40671,a900),f329(f311(x40671),x40673)),f329(f310(x40671),x40672))),f329(f310(x40671),f329(f329(f311(x40671),x40673),x40672))) % 166.45/166.21 [4086]P23(x40861,x40862,f329(f329(f311(f904(x40861)),f329(f329(f329(f93(x40861),x40863),a25),x40863)),f191(f913(f904(x40861),a900)))) % 166.45/166.21 [4100]P1(f329(f329(f239(a905),f329(f192(f906(x41001)),f180(x41001,x41002,x41003))),f329(f192(f906(x41001)),x41003))) % 166.45/166.21 [4107]E(f329(f269(x41071,x41072),f329(f267(f912(x41071,x41072)),f329(f262(x41071,x41072,a900),x41073))),f329(f267(x41071),f329(f329(f8(f913(x41072,a900),a900,x41071),f89(x41072)),x41073))) % 166.45/166.21 [4119]E(f329(f312(a905,a905,f329(f329(f7(a905,a905,a905),f82(a905)),x41191)),f305(a905,x41192,x41193)),f305(a905,f329(f329(f82(a905),x41192),x41191),f329(f329(f82(a905),x41193),x41191))) % 166.45/166.21 [4133]E(f329(f312(a905,a905,f329(f329(f7(a905,a905,a905),f82(a905)),x41331)),f329(f304(a905,x41332),x41333)),f329(f304(a905,f329(f329(f82(a905),x41332),x41331)),f329(f329(f82(a905),x41333),x41331))) % 166.45/166.21 [4151]E(f329(f329(f184(x41511,x41512),f329(f329(f157(f912(x41511,x41512),x41511),f256(x41511,x41512)),x41513)),f329(f329(f157(f912(x41511,x41512),x41512),f261(x41511,x41512)),x41513)),x41513) % 166.45/166.21 [4156]E(f329(f329(f82(a905),f329(f329(f83(a905),x41561),f47(a905,f329(f329(f38(a905),x41562),x41561),x41563))),f47(a905,x41562,x41561)),f47(a905,x41562,f329(f329(f83(a905),x41561),x41563))) % 166.45/166.21 [4169]E(f329(f329(f137(x41691),x41692),f329(f145(f906(x41691),f906(x41691),f137(x41691),f118(x41691)),x41693)),f329(f145(f906(x41691),f906(x41691),f137(x41691),x41692),x41693)) % 166.45/166.21 [4190]P1(f329(f329(f331(f912(x41901,x41901)),f329(f329(f257(x41901,x41901),x41902),x41902)),f329(f329(f186(f912(x41901,x41901),a900),f2(a905)),x41903))) % 166.45/166.21 [4195]E(f329(f267(x41951),f329(f329(f8(f913(x41952,a900),a900,x41951),f89(x41952)),f329(f7(x41952,x41951,a900),x41953))),f329(f287(x41952,x41951),f329(f267(f912(x41952,x41951)),f329(f262(x41952,x41951,a900),x41953)))) % 166.45/166.21 [4212]E(f329(f329(f115(f913(x42121,a900)),f329(f329(f41(a905,f913(x42121,a900)),f305(a905,f80(a905),x42122)),x42123)),f329(x42123,f2(a905))),f329(f329(f41(a905,f913(x42121,a900)),f329(f303(a905),x42122)),x42123)) % 166.45/166.21 [4227]E(f329(f145(f906(x42271),f906(x42271),f137(x42271),f118(x42271)),f329(f329(f157(f906(x42271),f906(x42271)),f139(x42271,x42272)),x42273)),f329(f139(x42271,x42272),f329(f145(f906(x42271),f906(x42271),f137(x42271),f118(x42271)),x42273))) % 166.45/166.21 [4231]E(f329(f261(f906(x42311),f906(x42311)),f169(x42311,x42312,x42313)),f329(f139(x42311,f329(f74(a900,a900,x42311,a324),x42312)),x42313)) % 166.45/166.21 [4276]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42761),f329(f329(f38(a1),x42762),x42761))),f47(a1,x42762,x42761))),x42763),f329(f329(f82(a1),x42762),x42763)) % 166.45/166.21 [4313]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),f329(f329(f38(a1),x43131),x43132)),x43132)),f47(a1,x43131,x43132))),x43133),f329(f329(f82(a1),x43131),x43133)) % 166.45/166.21 [4339]E(f87(f912(x43391,x43392),f329(f262(x43391,x43392,a900),f329(f329(f8(f913(x43392,f912(x43391,x43392)),f913(x43392,a900),x43391),f329(f8(f912(x43391,x43392),a900,x43392),x43393)),f257(x43391,x43392)))),f87(f912(x43391,x43392),x43393)) % 166.45/166.21 [4340]E(f92(f912(x43401,x43402),f329(f262(x43401,x43402,a900),f329(f329(f8(f913(x43402,f912(x43401,x43402)),f913(x43402,a900),x43401),f329(f8(f912(x43401,x43402),a900,x43402),x43403)),f257(x43401,x43402)))),f92(f912(x43401,x43402),x43403)) % 166.45/166.21 [4367]P1(f329(f329(f239(f913(x43671,a900)),f39(f913(x43671,a900),f329(f329(f106(f913(f913(x43671,a900),a900)),x43672),x43673))),f329(f329(f106(f913(x43671,a900)),f39(f913(x43671,a900),x43672)),f39(f913(x43671,a900),x43673)))) % 166.45/166.21 [4368]E(f329(f171(x43681),f329(f329(f329(f186(f906(x43681),f906(x43681)),f329(f329(f23(a905),f329(f192(f906(x43681)),x43682)),f47(a905,x43683,f329(f192(f906(x43681)),x43682)))),f170(x43681)),x43682)),f329(f329(f329(f186(f906(x43681),f906(x43681)),x43683),f170(x43681)),f329(f171(x43681),x43682))) % 166.45/166.21 [4405]P1(f329(f329(f239(a905),f329(f192(f906(x44051)),f329(f329(f141(x44051),f329(f192(f906(x44051)),f180(x44051,x44052,x44053))),x44053))),f329(f192(f906(x44051)),x44053))) % 166.45/166.21 [4653]~P1(f329(f64(x46531,x46532,f191(f913(x46531,a900))),x46533)) % 166.45/166.21 [4658]~P1(f329(f329(f331(f912(x46581,x46581)),f329(f329(f257(x46581,x46581),x46582),x46583)),f156(x46581,f118(f913(x46581,a905))))) % 166.45/166.21 [3718]E(f329(f192(f906(x37181)),f329(f329(f178(x37181),x37182),x37183)),f329(f329(f237(a905),f329(f192(f906(x37181)),x37183)),x37182)) % 166.45/166.21 [3719]E(f329(f192(f906(x37191)),f329(f329(f141(x37191),x37192),x37193)),f329(f329(f23(a905),f329(f192(f906(x37191)),x37193)),x37192)) % 166.45/166.21 [3746]E(f329(f192(f906(f906(x37461))),f57(x37461,x37462,x37463)),f329(f329(f249(a905),f329(f192(f906(x37461)),x37463)),x37462)) % 166.45/166.21 [3763]E(f329(f329(f38(a905),f329(f329(f38(a905),x37631),x37632)),x37633),f329(f329(f38(a905),x37631),f329(f329(f83(a905),x37632),x37633))) % 166.45/166.21 [3764]E(f329(f329(f23(a905),f329(f329(f23(a905),x37641),x37642)),x37643),f329(f329(f23(a905),x37641),f329(f329(f82(a905),x37642),x37643))) % 166.45/166.21 [3765]E(f329(f329(f82(a905),f329(f329(f82(a905),x37651),x37652)),x37653),f329(f329(f82(a905),x37651),f329(f329(f82(a905),x37652),x37653))) % 166.45/166.21 [3766]E(f329(f329(f82(a1),f329(f329(f82(a1),x37661),x37662)),x37663),f329(f329(f82(a1),x37661),f329(f329(f82(a1),x37662),x37663))) % 166.45/166.21 [3767]E(f329(f329(f83(a905),f329(f329(f83(a905),x37671),x37672)),x37673),f329(f329(f83(a905),x37671),f329(f329(f83(a905),x37672),x37673))) % 166.45/166.21 [3768]E(f329(f329(f83(a1),f329(f329(f83(a1),x37681),x37682)),x37683),f329(f329(f83(a1),x37681),f329(f329(f83(a1),x37682),x37683))) % 166.45/166.21 [3769]E(f329(f329(f249(a1),f329(f329(f249(a1),x37691),x37692)),x37693),f329(f329(f249(a1),x37691),f329(f329(f83(a905),x37692),x37693))) % 166.45/166.21 [3788]E(f165(x37881,f329(f329(f154(f913(x37881,a900)),x37882),x37883)),f177(x37881,x37882,f165(x37881,x37883))) % 166.45/166.21 [3833]E(f329(f329(f23(a905),f329(f329(f23(a905),x38331),x38332)),x38333),f329(f329(f23(a905),f329(f329(f23(a905),x38331),x38333)),x38332)) % 166.45/166.21 [3841]E(f329(f329(f106(f913(x38411,a900)),x38412),f329(f329(f23(f913(x38411,a900)),x38413),x38412)),f191(f913(x38411,a900))) % 166.45/166.21 [3845]E(f329(f329(f157(a905,x38451),f329(f16(x38451,a905),x38452)),f142(a905,f329(f304(a905,f2(a905)),x38453))),f172(x38451,x38453,x38452)) % 166.45/166.21 [3883]E(f40(f913(x38831,a900),f329(f329(f311(f913(x38831,a900)),x38832),x38833)),f329(f329(f106(f913(x38831,a900)),x38832),f40(f913(x38831,a900),x38833))) % 166.45/166.21 [3884]E(f39(f913(x38841,a900),f329(f329(f311(f913(x38841,a900)),x38842),x38843)),f329(f329(f115(f913(x38841,a900)),x38842),f39(f913(x38841,a900),x38843))) % 166.45/166.21 [3886]E(f172(x38861,f329(f192(f906(x38861)),f329(f139(x38861,f329(a326,x38862)),x38863)),x38862),f329(f139(x38861,f329(a326,x38862)),x38863)) % 166.45/166.21 [3888]E(f329(f329(f23(a905),f329(f329(f83(a905),x38881),x38882)),f329(f329(f83(a905),x38883),x38882)),f329(f329(f83(a905),f329(f329(f23(a905),x38881),x38883)),x38882)) % 166.45/166.21 [3889]E(f329(f329(f82(a905),f329(f329(f83(a905),x38891),x38892)),f329(f329(f83(a905),x38893),x38892)),f329(f329(f83(a905),f329(f329(f82(a905),x38891),x38893)),x38892)) % 166.45/166.21 [3890]E(f329(f329(f23(a1),f329(f329(f83(a1),x38901),x38902)),f329(f329(f83(a1),x38903),x38902)),f329(f329(f83(a1),f329(f329(f23(a1),x38901),x38903)),x38902)) % 166.45/166.21 [3891]E(f329(f329(f82(a1),f329(f329(f83(a1),x38911),x38912)),f329(f329(f83(a1),x38913),x38912)),f329(f329(f83(a1),f329(f329(f82(a1),x38911),x38913)),x38912)) % 166.45/166.21 [3893]E(f329(f329(f237(a905),f329(f329(f23(a905),x38931),x38932)),f329(f329(f23(a905),x38933),x38932)),f329(f329(f23(a905),f329(f329(f237(a905),x38931),x38933)),x38932)) % 166.45/166.21 [3915]E(f329(f329(f106(f913(f906(x39151),a900)),f163(x39151,x39152)),f163(x39151,x39153)),f163(x39151,f329(f329(f106(f913(x39151,a900)),x39152),x39153))) % 166.45/166.21 [3918]E(f329(f329(f115(f913(x39181,a900)),x39182),f329(f329(f115(f913(x39181,a900)),x39182),x39183)),f329(f329(f115(f913(x39181,a900)),x39182),x39183)) % 166.45/166.21 [3919]E(f329(f329(f115(f913(x39191,a900)),x39192),f329(f329(f23(f913(x39191,a900)),x39193),x39192)),f329(f329(f115(f913(x39191,a900)),x39192),x39193)) % 166.45/166.21 [3920]E(f329(f329(f106(f913(x39201,a900)),x39202),f329(f329(f106(f913(x39201,a900)),x39202),x39203)),f329(f329(f106(f913(x39201,a900)),x39202),x39203)) % 166.45/166.21 [3932]E(f329(f329(f291(x39321,x39322,x39322),x39323),f309(x39322,f191(f913(f912(x39322,x39322),a900)))),x39323) % 166.45/166.21 [3935]E(f329(f329(f115(f913(x39351,a900)),f329(f329(f311(x39351),x39352),f191(f913(x39351,a900)))),x39353),f329(f329(f311(x39351),x39352),x39353)) % 166.45/166.21 [3953]E(f329(f329(f23(a905),f329(f329(f23(a905),f329(a117,x39531)),x39532)),f329(a117,x39533)),f329(f329(f23(a905),f329(f329(f23(a905),x39531),x39532)),x39533)) % 166.45/166.21 [3981]E(f329(f329(f106(f913(f913(x39811,a900),a900)),f329(f310(x39811),x39812)),f329(f310(x39811),x39813)),f329(f310(x39811),f329(f329(f106(f913(x39811,a900)),x39812),x39813))) % 166.45/166.21 [3984]E(f329(f329(f115(f913(x39841,a900)),f329(f81(f913(x39841,a900)),x39842)),x39843),f329(f81(f913(x39841,a900)),f329(f329(f23(f913(x39841,a900)),x39842),x39843))) % 166.45/166.21 [3994]E(f329(f329(f311(x39941),x39942),f329(f329(f23(f913(x39941,a900)),x39943),f329(f329(f311(x39941),x39942),f191(f913(x39941,a900))))),f329(f329(f311(x39941),x39942),x39943)) % 166.45/166.21 [4004]P1(f329(f329(f239(f913(x40041,a900)),x40042),f329(f329(f115(f913(x40041,a900)),x40043),x40042))) % 166.45/166.21 [4005]P1(f329(f329(f239(f913(x40051,a900)),x40052),f329(f329(f115(f913(x40051,a900)),x40052),x40053))) % 166.45/166.21 [4009]E(f329(f329(f106(f913(x40091,a900)),f329(f81(f913(x40091,a900)),x40092)),f329(f81(f913(x40091,a900)),x40093)),f329(f81(f913(x40091,a900)),f329(f329(f115(f913(x40091,a900)),x40092),x40093))) % 166.45/166.21 [4010]E(f329(f329(f115(f913(x40101,a900)),f329(f81(f913(x40101,a900)),x40102)),f329(f81(f913(x40101,a900)),x40103)),f329(f81(f913(x40101,a900)),f329(f329(f106(f913(x40101,a900)),x40102),x40103))) % 166.45/166.21 [4023]P1(f329(f329(f239(f913(x40231,a900)),f329(f175(x40231),x40232)),f329(f175(x40231),f329(f329(f154(x40231),x40233),x40232)))) % 166.45/166.21 [4035]E(f329(f329(f115(f913(x40351,a900)),f329(f329(f23(f913(x40351,a900)),x40352),x40353)),f329(f329(f106(f913(x40351,a900)),x40352),x40353)),x40352) % 166.45/166.21 [4088]E(f329(f329(f6(x40881,a1),f329(f329(f8(a905,a1,x40881),f105(a1)),x40882)),x40883),f329(f105(a1),f329(f329(f6(x40881,a905),x40882),x40883))) % 166.45/166.21 [4089]E(f329(f329(f9(x40891,a1),f329(f329(f8(a905,a1,x40891),f105(a1)),x40892)),x40893),f329(f105(a1),f329(f329(f9(x40891,a905),x40892),x40893))) % 166.45/166.21 [4135]E(f329(f329(f137(x41351),f180(x41351,x41352,x41353)),f329(f329(f141(x41351),f329(f192(f906(x41351)),f180(x41351,x41352,x41353))),x41353)),x41353) % 166.45/166.21 [4139]E(f329(f81(f913(f912(x41391,x41392),a900)),f329(f329(f259(x41391,x41392),x41393),f329(f16(f913(x41392,a900),x41391),f247(f913(x41392,a900))))),f329(f329(f259(x41391,x41392),f329(f81(f913(x41391,a900)),x41393)),f329(f16(f913(x41392,a900),x41391),f247(f913(x41392,a900))))) % 166.45/166.21 [4140]E(f329(f81(f913(f912(x41401,x41402),a900)),f329(f329(f259(x41401,x41402),f247(f913(x41401,a900))),f329(f16(f913(x41402,a900),x41401),x41403))),f329(f329(f259(x41401,x41402),f247(f913(x41401,a900))),f329(f16(f913(x41402,a900),x41401),f329(f81(f913(x41402,a900)),x41403)))) % 166.45/166.21 [4191]E(f329(f329(f41(f913(x41911,a900),f913(x41911,a900)),x41912),f329(f329(f7(f913(x41911,a900),f913(x41911,a900),f913(x41911,a900)),f106(f913(x41911,a900))),x41913)),f329(f329(f106(f913(x41911,a900)),f39(f913(x41911,a900),x41912)),x41913)) % 166.45/166.21 [4197]E(f329(f145(f906(x41971),f906(x41971),f137(x41971),f118(x41971)),f329(f329(f154(f906(x41971)),x41972),x41973)),f329(f329(f137(x41971),x41972),f329(f145(f906(x41971),f906(x41971),f137(x41971),f118(x41971)),x41973))) % 166.45/166.21 [4218]E(f329(f329(f311(f913(x42181,a900)),f329(f288(x42181,x42181,x42182),f329(f329(f311(x42181),x42183),f191(f913(x42181,a900))))),f191(f913(f913(x42181,a900),a900))),f329(f329(f62(x42181),f329(f329(f311(x42181),x42183),f191(f913(x42181,a900)))),x42182)) % 166.45/166.21 [4228]E(f329(f329(f82(a905),f329(f329(f83(a905),x42281),f329(f329(f38(a905),x42282),x42283))),f329(f329(f38(a905),f329(f329(f83(a905),x42281),f47(a905,x42282,x42283))),x42283)),f329(f329(f38(a905),f329(f329(f83(a905),x42281),x42282)),x42283)) % 166.45/166.21 [4229]E(f329(f329(f82(a1),f329(f329(f83(a1),x42291),f329(f329(f38(a1),x42292),x42293))),f329(f329(f38(a1),f329(f329(f83(a1),x42291),f47(a1,x42292,x42293))),x42293)),f329(f329(f38(a1),f329(f329(f83(a1),x42291),x42292)),x42293)) % 166.45/166.21 [4261]E(f329(f329(f23(f913(x42611,a900)),f329(f175(x42611),x42612)),f329(f329(f311(x42611),x42613),f191(f913(x42611,a900)))),f329(f175(x42611),f329(f139(x42611,f329(f329(f8(a900,a900,x42611),a324),f329(a326,x42613))),x42612))) % 166.45/166.21 [4311]E(f329(f329(f137(x43111),f329(f145(f906(x43111),f906(x43111),f137(x43111),f118(x43111)),x43112)),f329(f145(f906(x43111),f906(x43111),f137(x43111),f118(x43111)),x43113)),f329(f145(f906(x43111),f906(x43111),f137(x43111),f118(x43111)),f329(f329(f137(f906(x43111)),x43112),x43113))) % 166.45/166.21 [4314]E(f329(f329(f257(f906(x43141),f906(x43141)),f329(f139(x43141,x43142),x43143)),f329(f139(x43141,f329(f74(a900,a900,x43141,a324),x43142)),x43143)),f169(x43141,x43142,x43143)) % 166.45/166.21 [4317]E(f329(f329(f82(a905),f329(f329(f82(a905),f329(f329(f38(a905),x43171),x43172)),f329(f329(f38(a905),x43173),x43172))),f329(f329(f38(a905),f329(f329(f82(a905),f47(a905,x43171,x43172)),f47(a905,x43173,x43172))),x43172)),f329(f329(f38(a905),f329(f329(f82(a905),x43171),x43173)),x43172)) % 166.45/166.21 [4318]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f38(a1),x43181),x43182)),f329(f329(f38(a1),x43183),x43182))),f329(f329(f38(a1),f329(f329(f82(a1),f47(a1,x43181,x43182)),f47(a1,x43183,x43182))),x43182)),f329(f329(f38(a1),f329(f329(f82(a1),x43181),x43183)),x43182)) % 166.45/166.21 [4371]E(f329(f329(f106(f913(f906(x43711),a900)),f329(f329(f7(f906(x43711),f913(f906(x43711),a900),a900),f331(f906(x43711))),f164(x43711,x43712))),f329(f329(f7(f906(x43711),f913(f906(x43711),a900),a900),f331(f906(x43711))),f164(x43711,x43713))),f163(x43711,f329(f329(f106(f913(x43711,a900)),f329(f329(f7(x43711,f913(x43711,a900),a900),f331(x43711)),x43712)),f329(f329(f7(x43711,f913(x43711,a900),a900),f331(x43711)),x43713)))) % 166.45/166.21 [4383]E(f329(f267(x43831),f329(f329(f18(x43831,a900,a900),f329(f329(f8(a900,f913(a900,a900),x43831),a328),f329(f329(f7(x43831,x43831,a900),a326),x43832))),f329(f329(f7(x43831,f913(x43831,a900),a900),f331(x43831)),x43833))),f329(f329(f311(x43831),x43832),x43833)) % 166.45/166.21 [4403]E(f329(f329(f88(f906(f906(x44031)),f906(f906(x44031))),f56(x44031,x44032)),f329(f329(f18(f906(f906(x44031)),f906(f906(x44031)),f906(f906(x44031))),f329(f329(f8(f906(f906(x44031)),f913(f906(f906(x44031)),f906(f906(x44031))),f906(f906(x44031))),f137(f906(x44031))),f329(f157(f906(x44031),f906(x44031)),f329(f154(x44031),x44033)))),f5(f906(f906(x44031))))),f56(x44031,f329(f329(f154(x44031),x44033),x44032))) % 166.45/166.21 [4406]E(f329(f267(x44061),f329(f329(f18(x44061,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44061),a328),f329(f329(f7(x44061,f913(x44061,a900),a900),f331(x44061)),x44062))),f329(f329(f7(x44061,f913(x44061,a900),a900),f331(x44061)),x44063))),f329(f329(f115(f913(x44061,a900)),x44062),x44063)) % 166.45/166.21 [4407]E(f329(f267(x44071),f329(f329(f18(x44071,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44071),a327),f329(f329(f7(x44071,f913(x44071,a900),a900),f331(x44071)),x44072))),f329(f329(f7(x44071,f913(x44071,a900),a900),f331(x44071)),x44073))),f329(f329(f106(f913(x44071,a900)),x44072),x44073)) % 166.45/166.21 [4496]E(f329(f329(f41(x44961,f913(f913(x44961,a900),a900)),x44962),f329(f329(f7(x44961,f913(f913(x44961,a900),a900),f913(f913(x44961,a900),a900)),f329(f329(f8(f913(x44961,a900),f913(f913(f913(x44961,a900),a900),f913(f913(x44961,a900),a900)),x44961),f311(f913(x44961,a900))),f329(f329(f8(f913(x44961,a900),f913(x44961,a900),x44961),f288(x44961,x44961,x44963)),f329(f329(f7(x44961,f913(x44961,a900),f913(x44961,a900)),f311(x44961)),f191(f913(x44961,a900)))))),f191(f913(f913(x44961,a900),a900)))),f329(f329(f62(x44961),x44962),x44963)) % 166.45/166.21 [4498]E(f329(f329(f205(x44981),f329(f329(f83(a1),f329(f329(f74(f912(a1,a1),a1,x44981,f256(a1,a1)),f216(x44981)),x44982)),f329(f329(f74(f912(a1,a1),a1,x44981,f256(a1,a1)),f216(x44981)),x44983))),f329(f329(f83(a1),f329(f329(f74(f912(a1,a1),a1,x44981,f261(a1,a1)),f216(x44981)),x44982)),f329(f329(f74(f912(a1,a1),a1,x44981,f261(a1,a1)),f216(x44981)),x44983))),f232(x44981,x44982,x44983)) % 166.45/166.21 [4501]E(f329(f267(f906(x45011)),f329(f329(f18(f906(x45011),a900,a900),f329(f329(f8(a900,f913(a900,a900),f906(x45011)),a327),f329(f329(f7(f906(x45011),a905,a900),f329(f329(f8(a905,f913(a905,a900),f906(x45011)),a326),f192(f906(x45011)))),x45012))),f329(f329(f7(f906(x45011),f913(x45011,a900),a900),f329(f329(f8(f913(x45011,a900),f913(f913(x45011,a900),a900),f906(x45011)),f239(f913(x45011,a900))),f175(x45011))),f329(f175(x45011),x45013)))),f329(f175(f906(x45011)),f57(x45011,x45012,x45013))) % 166.45/166.21 [3906]E(f47(a905,f329(f329(f82(a905),f329(f329(f83(a905),x39061),x39062)),x39063),x39062),f47(a905,x39063,x39062)) % 166.45/166.21 [3952]E(f142(a905,f329(f304(a905,f329(f329(f82(a905),x39521),x39522)),x39523)),f329(f329(f141(a905),x39522),f142(a905,f329(f304(a905,x39521),x39523)))) % 166.45/166.21 [3993]E(f329(f329(f82(a1),f329(f105(a1),x39931)),f329(f329(f82(a1),f329(f105(a1),x39932)),x39933)),f329(f329(f82(a1),f329(f105(a1),f329(f329(f82(a905),x39931),x39932))),x39933)) % 166.45/166.21 [4000]E(f329(f329(f115(f913(x40001,a900)),f329(f329(f23(f913(x40001,a900)),x40002),x40003)),x40003),f329(f329(f115(f913(x40001,a900)),x40002),x40003)) % 166.45/166.21 [4001]E(f329(f329(f23(f913(x40011,a900)),f329(f329(f23(f913(x40011,a900)),x40012),x40013)),x40013),f329(f329(f23(f913(x40011,a900)),x40012),x40013)) % 166.45/166.21 [4024]E(f329(f329(f291(x40241,x40241,x40242),f309(x40241,f191(f913(f912(x40241,x40241),a900)))),x40243),x40243) % 166.45/166.21 [4032]E(f329(f329(f115(f913(x40321,a900)),f329(f284(x40321),x40322)),f329(f284(x40321),x40323)),f329(f284(x40321),f329(f329(f115(f913(f912(x40321,x40321),a900)),x40322),x40323))) % 166.45/166.21 [4042]E(f271(x40421,f329(f329(f154(f912(a104,x40421)),f329(f329(f257(a104,x40421),f2(a104)),x40422)),x40423)),f271(x40421,x40423)) % 166.45/166.21 [4044]E(f329(f329(f106(f913(x40441,a900)),f40(f913(x40441,a900),x40442)),f40(f913(x40441,a900),x40443)),f40(f913(x40441,a900),f329(f329(f115(f913(f913(x40441,a900),a900)),x40442),x40443))) % 166.45/166.21 [4045]E(f329(f329(f115(f913(x40451,a900)),f39(f913(x40451,a900),x40452)),f39(f913(x40451,a900),x40453)),f39(f913(x40451,a900),f329(f329(f115(f913(f913(x40451,a900),a900)),x40452),x40453))) % 166.45/166.21 [4082]E(f329(f329(f291(x40821,x40821,x40821),f329(f329(f186(f912(x40821,x40821),a900),x40822),x40823)),x40823),f329(f329(f186(f912(x40821,x40821),a900),f329(a117,x40822)),x40823)) % 166.45/166.21 [4127]P1(f329(f329(f239(f913(x41271,a900)),f329(f329(f23(f913(x41271,a900)),x41272),x41273)),x41272)) % 166.45/166.21 [4128]P1(f329(f329(f239(f913(x41281,a900)),f329(f329(f106(f913(x41281,a900)),x41282),x41283)),x41283)) % 166.45/166.21 [4129]P1(f329(f329(f239(f913(x41291,a900)),f329(f329(f106(f913(x41291,a900)),x41292),x41293)),x41292)) % 166.45/166.21 [4153]E(f309(x41531,f329(f329(f115(f913(f912(x41531,x41531),a900)),f309(x41531,x41532)),f309(x41531,x41533))),f309(x41531,f329(f329(f115(f913(f912(x41531,x41531),a900)),x41532),x41533))) % 166.45/166.21 [4157]E(f39(f913(x41571,a900),f329(f329(f311(f913(x41571,a900)),x41572),f329(f329(f311(f913(x41571,a900)),x41573),f191(f913(f913(x41571,a900),a900))))),f329(f329(f115(f913(x41571,a900)),x41572),x41573)) % 166.45/166.21 [4158]E(f40(f913(x41581,a900),f329(f329(f311(f913(x41581,a900)),x41582),f329(f329(f311(f913(x41581,a900)),x41583),f191(f913(f913(x41581,a900),a900))))),f329(f329(f106(f913(x41581,a900)),x41582),x41583)) % 166.45/166.21 [4163]E(f329(f329(f291(x41631,x41631,x41631),f329(f329(f186(f912(x41631,x41631),a900),x41632),x41633)),x41633),f329(f329(f291(x41631,x41631,x41631),x41633),f329(f329(f186(f912(x41631,x41631),a900),x41632),x41633))) % 166.45/166.21 [4232]E(f329(f329(f115(f913(x42321,a900)),f329(f267(x42321),f329(f329(f7(x42321,x42321,a900),a326),x42322))),x42323),f329(f329(f311(x42321),x42322),x42323)) % 166.45/166.21 [4234]E(f329(a109,f329(f329(f6(x42341,a1),f329(f329(f8(a905,a1,x42341),f105(a1)),x42342)),x42343)),f329(f329(f6(x42341,a905),x42342),x42343)) % 166.45/166.21 [4235]E(f329(a109,f329(f329(f9(x42351,a1),f329(f329(f8(a905,a1,x42351),f105(a1)),x42352)),x42353)),f329(f329(f9(x42351,a905),x42352),x42353)) % 166.45/166.21 [4308]E(f329(f159(f906(x43081),x43081,f329(f174(x43081),x43082),f329(f16(f913(f906(x43081),f906(x43081)),x43081),f329(f329(f7(f906(x43081),f906(x43081),f906(x43081)),f137(x43081)),x43082))),x43083),f329(f174(x43081),f329(f329(f137(x43081),x43083),x43082))) % 166.45/166.21 [4336]P1(f329(f329(f239(f913(f913(x43361,a900),a900)),f329(f329(f115(f913(f913(x43361,a900),a900)),f329(f310(x43361),x43362)),f329(f310(x43361),x43363))),f329(f310(x43361),f329(f329(f115(f913(x43361,a900)),x43362),x43363)))) % 166.45/166.21 [4425]E(f329(f267(x44251),f329(f329(f18(x44251,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44251),a327),f329(f329(f7(x44251,f913(x44251,a900),a900),f331(x44251)),x44252))),f329(f329(f8(a900,a900,x44251),a324),f329(f329(f7(x44251,f913(x44251,a900),a900),f331(x44251)),x44253)))),f329(f329(f23(f913(x44251,a900)),x44252),x44253)) % 166.45/166.21 [4449]E(f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,a905,a900),f240(a905)),f329(f192(f906(x44491)),x44492)))),f329(f329(f8(x44491,a900,a905),x44493),f329(f167(x44491),x44492))))),f329(f192(f906(x44491)),f329(f139(x44491,x44493),x44492))) % 166.45/166.21 [4451]E(f329(f192(f906(x44511)),f179(x44511,x44512,x44513)),f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,a905,a900),f240(a905)),f329(f192(f906(x44511)),x44512)))),f329(f329(f7(a905,f913(a905,a900),a900),f331(a905)),x44513))))) % 166.45/166.21 [4547]E(f329(f329(f106(f913(f912(f906(x45471),f906(x45471)),a900)),f329(f312(f912(f912(x45471,f906(x45471)),f912(x45471,f906(x45471))),f912(f906(x45471),f906(x45471)),f263(f912(x45471,f906(x45471)),f906(x45471),f912(x45471,f906(x45471)),f906(x45471),f329(f262(x45471,f906(x45471),f906(x45471)),f154(x45471)),f329(f262(x45471,f906(x45471),f906(x45471)),f154(x45471)))),f322(x45471,f906(x45471),x45472,f329(f146(x45471,x45472),x45473)))),f329(f267(f912(f906(x45471),f906(x45471))),f329(f262(f906(x45471),f906(x45471),a900),f329(f329(f7(f906(x45471),f913(f906(x45471),a900),f913(f906(x45471),a900)),f329(f329(f8(f913(a900,a900),f913(f913(f906(x45471),a900),f913(f906(x45471),a900)),f906(x45471)),f8(a900,a900,f906(x45471))),f329(f329(f8(a900,f913(a900,a900),f906(x45471)),a327),f329(f329(f7(f906(x45471),a905,a900),f329(f329(f8(a905,f913(a905,a900),f906(x45471)),a326),f192(f906(x45471)))),f329(a117,x45473))))),f329(f329(f7(f906(x45471),a905,a900),f329(f329(f8(a905,f913(a905,a900),f906(x45471)),a326),f192(f906(x45471)))),f329(a117,x45473)))))),f329(f146(x45471,x45472),f329(a117,x45473))) % 166.45/166.21 [4046]E(f47(a905,f329(a117,f329(f329(f82(a905),f329(f329(f83(a905),x40461),x40462)),x40463)),x40462),f47(a905,f329(a117,x40463),x40462)) % 166.45/166.21 [4294]E(f329(f267(x42941),f329(f329(f18(x42941,a900,a900),f329(f329(f8(a900,f913(a900,a900),x42941),a327),x42942)),x42943)),f329(f329(f106(f913(x42941,a900)),f329(f267(x42941),x42942)),f329(f267(x42941),x42943))) % 166.45/166.21 [4295]E(f329(f267(x42951),f329(f329(f18(x42951,a900,a900),f329(f329(f8(a900,f913(a900,a900),x42951),a328),x42952)),x42953)),f329(f329(f115(f913(x42951,a900)),f329(f267(x42951),x42952)),f329(f267(x42951),x42953))) % 166.45/166.21 [4297]E(f329(f329(f137(x42971),f329(f329(f141(x42971),f47(a905,x42972,f329(f192(f906(x42971)),x42973))),x42973)),f329(f329(f178(x42971),f47(a905,x42972,f329(f192(f906(x42971)),x42973))),x42973)),f329(f329(f329(f186(f906(x42971),f906(x42971)),x42972),f170(x42971)),x42973)) % 166.45/166.21 [4303]E(f329(f267(x43031),f329(f329(f18(x43031,a900,a900),f329(f329(f8(a900,f913(a900,a900),x43031),a332),x43032)),x43033)),f329(f329(f115(f913(x43031,a900)),f329(f81(f913(x43031,a900)),f329(f267(x43031),x43032))),f329(f267(x43031),x43033))) % 166.45/166.21 [4319]E(f329(f329(f82(a905),f329(f192(f906(x43191)),f329(f139(x43191,x43192),x43193))),f329(f192(f906(x43191)),f329(f139(x43191,f329(f329(f8(a900,a900,x43191),a324),x43192)),x43193))),f329(f192(f906(x43191)),x43193)) % 166.45/166.21 [4342]P1(f329(f329(f239(f913(x43421,a900)),f329(f329(f115(f913(x43421,a900)),f40(f913(x43421,a900),x43422)),f40(f913(x43421,a900),x43423))),f40(f913(x43421,a900),f329(f329(f106(f913(f913(x43421,a900),a900)),x43422),x43423)))) % 166.45/166.21 [4356]E(f329(f175(x43561),f329(f139(x43561,f329(f329(f8(a900,a900,x43561),a324),f329(f329(f7(x43561,x43561,a900),a326),x43562))),x43563)),f329(f329(f23(f913(x43561,a900)),f329(f175(x43561),x43563)),f329(f329(f311(x43561),x43562),f191(f913(x43561,a900))))) % 166.45/166.21 [4365]P1(f329(f329(f239(f913(f912(x43651,x43651),a900)),f329(f329(f115(f913(f912(x43651,x43651),a900)),f309(x43651,x43652)),f309(x43651,x43653))),f309(x43651,f329(f329(f115(f913(f912(x43651,x43651),a900)),x43652),x43653)))) % 166.45/166.21 [4388]E(f329(f329(f83(a905),f329(a117,f329(a117,f2(a905)))),f329(f329(f6(a905,a905),f329(f329(f8(a905,a905,a905),f329(f82(a905),x43881)),f329(f329(f7(a905,a905,a905),f83(a905)),x43882))),f329(f285(a905),x43883))),f329(f329(f83(a905),x43883),f329(f329(f82(a905),x43881),f329(f329(f82(a905),x43881),f329(f329(f83(a905),f329(f329(f23(a905),x43883),f80(a905))),x43882))))) % 166.45/166.21 [4398]E(f329(f267(x43981),f329(f329(f18(x43981,a900,a900),f329(f329(f8(a900,f913(a900,a900),x43981),a327),f329(f329(f7(x43981,f913(x43981,a900),a900),f331(x43981)),f329(f175(x43981),x43982)))),x43983)),f329(f175(x43981),f329(f139(x43981,x43983),x43982))) % 166.45/166.21 [4546]E(f329(f267(x45461),f329(f329(f8(f913(a905,a900),a900,x45461),f89(a905)),f329(f329(f7(x45461,f913(a905,a900),f913(a905,a900)),f329(f329(f8(f913(a905,f913(a900,a900)),f913(f913(a905,a900),f913(a905,a900)),x45461),f18(a905,a900,a900)),f329(f329(f8(f913(a905,a900),f913(a905,f913(a900,a900)),x45461),f329(f8(a900,f913(a900,a900),a905),a327)),f329(f329(f7(x45461,f913(a905,x45461),f913(a905,a900)),f329(f329(f8(f913(x45461,a900),f913(f913(a905,x45461),f913(a905,a900)),x45461),f8(x45461,a900,a905)),a326)),f329(f167(x45461),x45462))))),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,a905,a900),f240(a905)),f329(f192(f906(x45461)),x45462)))),f329(f329(f7(a905,f913(a905,a900),a900),f331(a905)),x45463))))),f329(f175(x45461),f179(x45461,x45462,x45463))) % 166.45/166.21 [4438]E(f329(f267(x44381),f329(f329(f18(x44381,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44381),a332),f329(f329(f8(a900,a900,x44381),a324),f329(f329(f7(x44381,x44381,a900),a326),x44382)))),x44383)),f329(f329(f311(x44381),x44382),f329(f267(x44381),x44383))) % 166.45/166.21 [4470]E(f329(f329(f157(f912(x44701,a905),x44701),f256(x44701,a905)),f329(f139(f912(x44701,a905),f329(f329(f7(f912(x44701,a905),f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),f912(x44701,a905)),f331(a905)),f261(x44701,a905))),x44702)),f329(f329(f184(x44701,a905),x44703),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(x44701)),x44703)))))),f179(x44701,x44703,x44702)) % 166.45/166.21 [4497]E(f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f6(a905,a1),f329(f329(f8(a1,a1,a905),f329(f82(a1),x44971)),f329(f329(f7(a905,a1,a1),f329(f329(f8(a1,f913(a1,a1),a905),f83(a1)),f105(a1))),x44972))),f329(f285(a905),x44973))),f329(f329(f83(a1),f329(f105(a1),x44973)),f329(f329(f82(a1),x44971),f329(f329(f82(a1),x44971),f329(f329(f83(a1),f329(f105(a1),f329(f329(f23(a905),x44973),f80(a905)))),x44972))))) % 166.45/166.21 [4539]E(f329(f267(f912(x45391,x45392)),f329(f262(x45391,x45392,a900),f329(f329(f7(x45391,f913(f912(x45392,x45391),a900),f913(x45392,a900)),f329(f329(f8(f913(x45392,f913(f913(f912(x45392,x45391),a900),a900)),f913(f913(f912(x45392,x45391),a900),f913(x45392,a900)),x45391),f7(x45392,f913(f912(x45392,x45391),a900),a900)),f329(f329(f8(f913(x45392,f912(x45392,x45391)),f913(x45392,f913(f913(f912(x45392,x45391),a900),a900)),x45391),f329(f8(f912(x45392,x45391),f913(f913(f912(x45392,x45391),a900),a900),x45392),f331(f912(x45392,x45391)))),f329(f7(x45392,x45391,f912(x45392,x45391)),f257(x45392,x45391))))),x45393))),f329(f289(x45392,x45391),x45393)) % 166.45/166.21 [4561]E(f329(f267(f906(x45611)),f329(f329(f8(f913(x45611,a900),a900,f906(x45611)),f89(x45611)),f329(f329(f8(f913(x45611,f913(f906(x45611),a900)),f913(x45611,a900),f906(x45611)),f329(f8(f913(f906(x45611),a900),a900,x45611),f89(f906(x45611)))),f329(f329(f7(f906(x45611),f913(x45611,f913(f906(x45611),a900)),f913(x45611,f913(f906(x45611),a900))),f329(f329(f8(f913(x45611,f913(f913(f906(x45611),a900),f913(f906(x45611),a900))),f913(f913(x45611,f913(f906(x45611),a900)),f913(x45611,f913(f906(x45611),a900))),f906(x45611)),f18(x45611,f913(f906(x45611),a900),f913(f906(x45611),a900))),f329(f329(f8(f913(x45611,f913(f906(x45611),f913(a900,a900))),f913(x45611,f913(f913(f906(x45611),a900),f913(f906(x45611),a900))),f906(x45611)),f329(f8(f913(f906(x45611),f913(a900,a900)),f913(f913(f906(x45611),a900),f913(f906(x45611),a900)),x45611),f18(f906(x45611),a900,a900))),f329(f329(f8(f913(x45611,f913(f906(x45611),a900)),f913(x45611,f913(f906(x45611),f913(a900,a900))),f906(x45611)),f329(f8(f913(f906(x45611),a900),f913(f906(x45611),f913(a900,a900)),x45611),f329(f8(a900,f913(a900,a900),f906(x45611)),a327))),f329(f329(f7(f906(x45611),f913(x45611,f913(f906(x45611),f906(x45611))),f913(x45611,f913(f906(x45611),a900))),f329(f329(f8(f913(f913(f906(x45611),f906(x45611)),f913(f906(x45611),a900)),f913(f913(x45611,f913(f906(x45611),f906(x45611))),f913(x45611,f913(f906(x45611),a900))),f906(x45611)),f8(f913(f906(x45611),f906(x45611)),f913(f906(x45611),a900),x45611)),f329(f329(f8(f913(f906(x45611),a900),f913(f913(f906(x45611),f906(x45611)),f913(f906(x45611),a900)),f906(x45611)),f8(f906(x45611),a900,f906(x45611))),a326))),f154(x45611)))))),f329(f329(f7(x45611,f913(f906(x45611),a900),f913(f906(x45611),a900)),f329(f329(f8(f913(a900,a900),f913(f913(f906(x45611),a900),f913(f906(x45611),a900)),x45611),f8(a900,a900,f906(x45611))),f329(f329(f8(a900,f913(a900,a900),x45611),a327),f329(f329(f7(x45611,f913(x45611,a900),a900),f331(x45611)),x45612)))),f329(f329(f7(f906(x45611),f913(f906(x45611),a900),a900),f331(f906(x45611))),x45613)))))),f177(x45611,x45612,x45613)) % 166.45/166.21 [4558]E(f329(f329(f88(a1,f912(a1,a1)),f329(f329(f23(a1),x45581),x45582)),f329(f329(f7(a1,f912(a1,a1),f912(a1,a1)),f329(f329(f18(a1,f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),f329(f329(f8(a900,f913(f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),a1),f99(f912(a1,a1))),f329(f239(a1),f2(a1)))),f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x45583)),f80(a1))))),f329(f329(f257(a1,a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x45583)),x45581))),f329(f45(x45582),f329(f329(f257(a1,a1),x45583),x45581))) % 166.45/166.21 [4587]~E(f31(x45871,x45872),f32(x45873,x45874)) % 166.45/166.21 [4606]~E(f329(a26,x46061),f29(x46062,x46063,x46064)) % 166.45/166.21 [4607]~E(f329(a26,x46071),f28(x46072,x46073,x46074)) % 166.45/166.21 [4608]~E(f29(x46081,x46082,x46083),f329(a26,x46084)) % 166.45/166.21 [4609]~E(f28(x46091,x46092,x46093),f329(a26,x46094)) % 166.45/166.21 [3601]E(f121(x36011,f329(x36012,x36013),f329(x36014,x36013)),f329(f207(x36011,x36012,x36014),x36013)) % 166.45/166.21 [3655]E(f329(f329(f250(x36551,x36552,x36553),x36554),f2(a905)),x36552) % 166.45/166.21 [3695]E(f188(x36951,x36952,x36953,f329(a117,x36954)),f329(x36953,x36954)) % 166.45/166.21 [3737]E(f173(x37371,x37372,f173(x37371,x37373,x37374)),f173(x37371,x37373,f173(x37371,x37372,x37374))) % 166.45/166.21 [3738]E(f130(x37381,x37382,f121(x37381,x37383,x37384)),f121(x37381,f130(x37381,x37382,x37383),x37384)) % 166.45/166.21 [3874]E(f329(f159(x38741,x38742,x38743,x38744),f118(x38742)),x38743) % 166.45/166.21 [3875]E(f329(f145(x38751,x38752,x38753,x38754),f118(x38752)),x38754) % 166.45/166.21 [3912]E(f329(f192(f910(x39121,x39122)),f224(x39121,x39122,x39123,x39124)),f2(a905)) % 166.45/166.21 [3937]E(f329(f262(x39371,x39372,x39373),f260(x39371,x39372,x39373,x39374)),x39374) % 166.45/166.21 [3980]E(f329(f329(f137(x39801),f172(x39801,x39802,x39803)),f172(x39801,x39804,x39803)),f329(f329(f137(x39801),f172(x39801,x39804,x39803)),f172(x39801,x39802,x39803))) % 166.45/166.21 [4065]E(f329(f329(f264(x40651,x40652,x40653,f912(x40652,x40653)),x40654),f257(x40652,x40653)),x40654) % 166.45/166.21 [4075]E(f131(x40751,x40752,x40753,x40754,f124(x40752)),x40753) % 166.45/166.21 [4081]E(f76(x40811,x40812,x40813,x40814,f329(x40813,x40814)),x40813) % 166.45/166.21 [4349]P44(x43491,x43492,x43493,x43494,f191(f913(x43491,a900)),x43494) % 166.45/166.21 [3404]E(f329(f329(f16(x34041,x34042),x34043),x34044),x34043) % 166.45/166.21 [3685]E(f173(x36851,x36852,f329(f139(x36851,x36853),x36854)),f329(f139(x36851,x36853),f173(x36851,x36852,x36854))) % 166.45/166.21 [3720]E(f329(f329(f66(x37201,x37202,x37203),x37204),f191(f913(x37201,a900))),x37204) % 166.45/166.21 [3745]E(f329(f329(f167(x37451),f329(f329(f154(x37451),x37452),x37453)),f329(a117,x37454)),f329(f329(f167(x37451),x37453),x37454)) % 166.45/166.21 [3789]P27(x37891,f2(a905),f329(f329(f329(f93(x37891),x37892),f329(a26,x37893)),x37894)) % 166.45/166.21 [3813]E(f329(f329(x38131,x38132),f329(f187(x38133,x38134,x38131),x38132)),f329(f187(x38133,x38134,x38131),f329(a117,x38132))) % 166.45/166.21 [3855]E(f260(x38551,x38552,x38553,f329(f262(x38551,x38552,x38553),x38554)),x38554) % 166.45/166.21 [3910]E(f329(f329(f162(x39101,f329(f329(f154(x39101),x39102),x39103)),f2(a905)),x39104),f329(f329(f154(x39101),x39104),x39103)) % 166.45/166.21 [3922]E(f329(f329(f41(f913(x39221,a900),f913(x39222,a900)),x39223),f312(x39221,x39222,x39224)),f329(f312(x39221,x39222,x39224),f39(f913(x39221,a900),x39223))) % 166.45/166.21 [3923]E(f329(f329(f41(f913(x39231,a900),f913(x39232,a900)),x39233),f313(x39232,x39231,x39234)),f329(f313(x39232,x39231,x39234),f39(f913(x39231,a900),x39233))) % 166.45/166.21 [4021]E(f329(f129(x40211,x40212),f130(x40211,x40213,x40214)),f329(f329(f82(a905),f329(f329(f82(a905),f329(x40212,x40213)),f329(f129(x40211,x40212),x40214))),f329(a117,f2(a905)))) % 166.45/166.21 [4041]E(f329(f145(x40411,x40412,f329(f7(x40412,x40411,x40411),x40413),x40414),f329(f171(x40412),f118(x40412))),x40414) % 166.45/166.21 [4087]E(f78(x40871,x40872,x40873,x40874,f191(f913(x40871,a900))),x40873) % 166.45/166.21 [4147]E(f227(x41471,f912(x41472,f907(x41472)),x41473,f329(f262(x41472,f907(x41472),x41471),x41474),f329(f138(x41472),f124(x41472))),x41473) % 166.45/166.21 [4279]E(f329(f262(x42791,x42792,x42793),f329(f329(f8(f913(x42792,f912(x42791,x42792)),f913(x42792,x42793),x42791),f329(f8(f912(x42791,x42792),x42793,x42792),x42794)),f257(x42791,x42792))),x42794) % 166.45/166.21 [3592]E(f329(f261(x35921,x35922),f329(f329(f257(x35921,x35922),x35923),x35924)),x35924) % 166.45/166.21 [3593]E(f329(f256(x35931,x35932),f329(f329(f257(x35931,x35932),x35933),x35934)),x35933) % 166.45/166.21 [3628]E(f329(f192(f906(x36281)),f329(f329(f162(x36281,x36282),x36283),x36284)),f329(f192(f906(x36281)),x36282)) % 166.45/166.21 [3629]E(f329(f192(f906(x36291)),f329(f329(f157(x36292,x36291),x36293),x36294)),f329(f192(f906(x36292)),x36294)) % 166.45/166.21 [3650]E(f329(f329(f141(x36501),f329(a117,x36502)),f329(f329(f154(x36501),x36503),x36504)),f329(f329(f141(x36501),x36502),x36504)) % 166.45/166.21 [3715]E(f329(f329(f178(x37151),x37152),f172(x37151,x37153,x37154)),f172(x37151,f329(f329(f237(a905),x37152),x37153),x37154)) % 166.45/166.21 [3716]E(f329(f329(f141(x37161),x37162),f172(x37161,x37163,x37164)),f172(x37161,f329(f329(f23(a905),x37163),x37162),x37164)) % 166.45/166.21 [3722]E(f329(f329(f311(x37221),x37222),f329(f329(f311(x37221),x37223),x37224)),f329(f329(f311(x37221),x37223),f329(f329(f311(x37221),x37222),x37224))) % 166.45/166.21 [3726]E(f329(f329(f157(x37261,x37262),x37263),f119(x37261,x37264)),f119(x37262,f329(f329(f157(x37261,x37262),x37263),x37264))) % 166.45/166.21 [3743]E(f329(f171(x37431),f329(f329(f157(x37432,x37431),x37433),x37434)),f329(f329(f157(x37432,x37431),x37433),f329(f171(x37432),x37434))) % 166.45/166.21 [3744]E(f329(f329(f157(x37441,x37442),x37443),f329(f174(x37441),x37444)),f329(f174(x37442),f329(f329(f157(x37441,x37442),x37443),x37444))) % 166.45/166.21 [3758]E(f329(f329(f178(x37581),f329(a117,x37582)),f329(f329(f154(x37581),x37583),x37584)),f329(f329(f154(x37581),x37583),f329(f329(f178(x37581),x37582),x37584))) % 166.45/166.21 [3762]E(f329(f175(x37621),f329(f329(f157(x37622,x37621),x37623),x37624)),f329(f312(x37622,x37621,x37623),f329(f175(x37622),x37624))) % 166.45/166.21 [3775]E(f329(f329(f157(x37751,x37752),f329(f16(x37752,x37751),x37753)),x37754),f172(x37752,f329(f192(f906(x37751)),x37754),x37753)) % 166.45/166.21 [3812]E(f17(x38121,x38122,x38123,f329(a3,f329(a117,f329(a20,x38124)))),f329(x38123,x38124)) % 166.45/166.21 [3816]E(f329(f329(f137(x38161),f329(f139(x38161,x38162),x38163)),f329(f139(x38161,x38162),x38164)),f329(f139(x38161,x38162),f329(f329(f137(x38161),x38163),x38164))) % 166.45/166.21 [3829]E(f155(x38291,f329(f329(f157(x38292,x38291),x38293),f155(x38292,x38294))),f155(x38291,f329(f329(f157(x38292,x38291),x38293),x38294))) % 166.45/166.21 [3844]E(f329(f289(x38441,x38441),f329(f329(f290(x38442,x38441),x38443),x38444)),f329(f329(f290(x38442,x38441),f329(f289(x38442,x38442),x38443)),x38444)) % 166.45/166.21 [3856]E(f329(f329(f291(x38561,x38562,x38563),x38564),f191(f913(f912(x38562,x38563),a900))),f191(f913(f912(x38561,x38563),a900))) % 166.45/166.21 [3857]E(f329(f329(f178(x38571),f329(f329(f23(a905),x38572),x38573)),f329(f329(f141(x38571),x38573),x38574)),f329(f329(f141(x38571),x38573),f329(f329(f178(x38571),x38572),x38574))) % 166.45/166.21 [3876]E(f329(f329(f137(x38761),f172(x38761,x38762,x38763)),f172(x38761,x38764,x38763)),f172(x38761,f329(f329(f82(a905),x38762),x38764),x38763)) % 166.45/166.21 [3877]E(f329(f329(f329(f281(x38771),x38772),x38773),x38774),f329(f257(f913(a104,f913(a900,f909(f907(x38771)))),f912(a104,a104)),f329(f44(x38771),x38772))) % 166.45/166.21 [3903]E(f40(f913(x39031,a900),f329(f312(x39032,f913(x39031,a900),x39033),x39034)),f329(f329(f42(x39032,f913(x39031,a900)),x39034),x39033)) % 166.45/166.21 [3904]E(f39(f913(x39041,a900),f329(f312(x39042,f913(x39041,a900),x39043),x39044)),f329(f329(f41(x39042,f913(x39041,a900)),x39044),x39043)) % 166.45/166.21 [3905]E(f329(f192(f906(f912(x39051,x39052))),f329(f329(f184(x39051,x39052),x39053),x39054)),f329(f329(f237(a905),f329(f192(f906(x39051)),x39053)),f329(f192(f906(x39052)),x39054))) % 166.45/166.21 [3907]E(f329(f313(x39071,x39072,x39073),f329(f81(f913(x39072,a900)),x39074)),f329(f81(f913(x39071,a900)),f329(f313(x39071,x39072,x39073),x39074))) % 166.45/166.21 [3957]E(f329(f313(x39571,x39572,x39573),f329(f267(x39572),x39574)),f329(f267(x39571),f329(f329(f8(x39572,a900,x39571),x39574),x39573))) % 166.45/166.21 [3975]E(f329(f329(f167(x39751),f329(f329(f137(x39751),x39752),f329(f329(f154(x39751),x39753),x39754))),f329(f192(f906(x39751)),x39752)),x39753) % 166.45/166.21 [3998]E(f329(f312(x39981,x39982,x39983),f329(f313(x39981,x39982,x39983),x39984)),f329(f329(f106(f913(x39982,a900)),x39984),f329(f312(x39981,x39982,x39983),f247(f913(x39981,a900))))) % 166.45/166.21 [4017]P1(f329(f329(f331(x40171),f329(x40172,x40173)),f329(f312(x40174,x40171,x40172),f247(f913(x40174,a900))))) % 166.45/166.21 [4025]E(f19(x40251,x40252,x40253,f329(a3,f329(a117,f329(a20,x40254)))),f329(f329(x40253,x40254),f19(x40251,x40252,x40253,x40254))) % 166.45/166.21 [4029]E(f329(f329(f137(x40291),f172(x40291,x40292,x40293)),f329(f329(f154(x40291),x40293),x40294)),f329(f329(f154(x40291),x40293),f329(f329(f137(x40291),f172(x40291,x40292,x40293)),x40294))) % 166.45/166.21 [4031]E(f329(f329(f259(x40311,x40312),f329(f175(x40311),x40313)),f329(f16(f913(x40312,a900),x40311),f329(f175(x40312),x40314))),f329(f175(f912(x40311,x40312)),f61(x40311,x40312,x40313,x40314))) % 166.45/166.21 [4043]E(f158(x40431,x40432,f329(f329(f154(x40431),x40433),x40434)),f329(f329(f82(a905),f329(f329(f82(a905),f329(x40432,x40433)),f158(x40431,x40432,x40434))),f329(a117,f2(a905)))) % 166.45/166.21 [4056]E(f188(f906(x40561),f329(f329(f154(x40561),x40562),x40563),f329(f329(f7(a905,f906(x40561),f906(x40561)),f141(x40561)),x40563),x40564),f329(f329(f141(x40561),x40564),f329(f329(f154(x40561),x40562),x40563))) % 166.45/166.21 [4057]P24(x40571,f912(x40572,x40571),f333(x40573,x40574,x40572,x40571),f329(f329(f41(x40572,f913(x40571,a900)),x40574),x40573)) % 166.45/166.21 [4066]E(f329(f329(f23(f913(x40661,a900)),f329(f329(f23(f913(x40661,a900)),x40662),x40663)),f329(f329(f311(x40661),x40664),f191(f913(x40661,a900)))),f329(f329(f23(f913(x40661,a900)),x40662),f329(f329(f311(x40661),x40664),x40663))) % 166.45/166.21 [4079]E(f329(f329(f186(f913(x40791,x40792),f913(x40791,x40792)),x40793),f74(x40792,x40792,x40791,x40794)),f74(x40792,x40792,x40791,f329(f329(f186(x40792,x40792),x40793),x40794))) % 166.45/166.21 [4152]E(f329(f329(f329(f186(f906(x41521),f906(x41521)),x41522),f170(x41521)),f329(f329(f329(f186(f906(x41521),f906(x41521)),x41523),f170(x41521)),x41524)),f329(f329(f329(f186(f906(x41521),f906(x41521)),f329(f329(f82(a905),x41522),x41523)),f170(x41521)),x41524)) % 166.45/166.21 [4237]P1(f329(f329(f239(f913(x42371,a900)),f329(f175(x42371),f329(f329(f162(x42371,x42372),x42373),x42374))),f329(f329(f311(x42371),x42374),f329(f175(x42371),x42372)))) % 166.45/166.21 [4269]E(f329(f329(f41(f913(x42691,a900),f913(f912(x42691,x42692),a900)),x42693),f329(f329(f7(f913(x42691,a900),f913(x42691,f913(x42692,a900)),f913(f912(x42691,x42692),a900)),f259(x42691,x42692)),x42694)),f329(f329(f259(x42691,x42692),f39(f913(x42691,a900),x42693)),x42694)) % 166.45/166.21 [4307]E(f213(x43071,x43072,x43073,f329(f74(x43072,f913(a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(x43072))))),x43071,f212(x43072)),x43074)),f214(x43071,x43072,x43074,x43073)) % 166.45/166.21 [4322]E(f209(x43221,x43222,x43223,f329(f74(x43222,f913(a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(f909(x43222)))))),x43221,f208(x43222)),x43224)),f210(x43221,x43222,x43224,x43223)) % 166.45/166.21 [4327]P1(f329(f68(x43271,x43272,x43273,x43274,f191(f913(x43271,a900))),x43274)) % 166.45/166.21 [4366]E(f329(f329(f41(x43661,f913(x43662,a900)),x43663),f329(f329(f7(x43661,f913(x43662,a900),f913(x43662,a900)),f329(f329(f8(x43662,f913(f913(x43662,a900),f913(x43662,a900)),x43661),f311(x43662)),x43664)),f191(f913(x43662,a900)))),f329(f312(x43661,x43662,x43664),x43663)) % 166.45/166.21 [4373]P1(f329(f329(f239(f913(x43731,a900)),f329(f287(x43732,x43731),f329(f329(f106(f913(f912(x43732,x43731),a900)),x43733),x43734))),f329(f329(f106(f913(x43731,a900)),f329(f287(x43732,x43731),x43733)),f329(f287(x43732,x43731),x43734)))) % 166.45/166.21 [4374]P1(f329(f329(f239(f913(x43741,a900)),f329(f269(x43741,x43742),f329(f329(f106(f913(f912(x43741,x43742),a900)),x43743),x43744))),f329(f329(f106(f913(x43741,a900)),f329(f269(x43741,x43742),x43743)),f329(f269(x43741,x43742),x43744)))) % 166.45/166.21 [4434]P1(f329(f329(f239(f913(f912(x44341,x44342),a900)),f329(f312(x44342,f912(x44341,x44342),f333(x44343,x44344,x44341,x44342)),f329(f329(f41(x44341,f913(x44342,a900)),x44344),x44343))),f329(f329(f259(x44341,x44342),x44344),x44343))) % 166.45/166.21 [4435]E(f329(f123(x44351,f912(x44351,x44352),x44353),f329(f329(f8(f913(x44352,f907(f912(x44351,x44352))),f907(f912(x44351,x44352)),x44351),f123(x44352,f912(x44351,x44352),x44354)),f329(f329(f8(f913(x44352,f912(x44351,x44352)),f913(x44352,f907(f912(x44351,x44352))),x44351),f329(f8(f912(x44351,x44352),f907(f912(x44351,x44352)),x44352),f133(f912(x44351,x44352)))),f257(x44351,x44352)))),f134(x44351,x44352,x44353,x44354)) % 166.45/166.21 [4436]E(f279(x44361,x44362,x44363,f329(f74(x44362,f913(a104,f913(a104,f913(f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x44362)))),f912(a104,a104))))),x44361,f281(x44362)),x44364)),f282(x44361,x44362,x44364,x44363)) % 166.45/166.21 [4476]E(f87(f912(x44761,x44762),f329(f262(x44761,x44762,a900),f329(f329(f7(x44761,f913(x44762,a900),f913(x44762,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x44762,a900),f913(x44762,a900)),x44761),f8(a900,a900,x44762)),f329(f329(f8(a900,f913(a900,a900),x44761),a327),f329(a326,x44763)))),f329(a326,x44764)))),f329(f329(f257(x44761,x44762),x44763),x44764)) % 166.45/166.21 [4477]E(f92(f912(x44771,x44772),f329(f262(x44771,x44772,a900),f329(f329(f7(x44771,f913(x44772,a900),f913(x44772,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x44772,a900),f913(x44772,a900)),x44771),f8(a900,a900,x44772)),f329(f329(f8(a900,f913(a900,a900),x44771),a327),f329(a326,x44773)))),f329(a326,x44774)))),f329(f329(f257(x44771,x44772),x44773),x44774)) % 166.45/166.21 [4548]E(f329(f329(f262(f906(x45481),f906(x45481),f912(f906(x45481),f906(x45481))),f329(f329(f18(f906(x45481),f913(f906(x45481),f912(f906(x45481),f906(x45481))),f913(f906(x45481),f912(f906(x45481),f906(x45481)))),f329(f329(f8(f913(f906(x45481),f913(f912(f906(x45481),f906(x45481)),f912(f906(x45481),f906(x45481)))),f913(f913(f906(x45481),f912(f906(x45481),f906(x45481))),f913(f906(x45481),f912(f906(x45481),f906(x45481)))),f906(x45481)),f18(f906(x45481),f912(f906(x45481),f906(x45481)),f912(f906(x45481),f906(x45481)))),f329(f329(f8(f913(f906(x45481),f912(f906(x45481),f906(x45481))),f913(f906(x45481),f913(f912(f906(x45481),f906(x45481)),f912(f906(x45481),f906(x45481)))),f906(x45481)),f329(f8(f912(f906(x45481),f906(x45481)),f913(f912(f906(x45481),f906(x45481)),f912(f906(x45481),f906(x45481))),f906(x45481)),f329(f99(f912(f906(x45481),f906(x45481))),f329(x45482,x45483)))),f329(f329(f8(f906(x45481),f913(f906(x45481),f912(f906(x45481),f906(x45481))),f906(x45481)),f257(f906(x45481),f906(x45481))),f329(f154(x45481),x45483))))),f329(f329(f7(f906(x45481),f913(f906(x45481),f906(x45481)),f913(f906(x45481),f912(f906(x45481),f906(x45481)))),f329(f329(f8(f913(f906(x45481),f912(f906(x45481),f906(x45481))),f913(f913(f906(x45481),f906(x45481)),f913(f906(x45481),f912(f906(x45481),f906(x45481)))),f906(x45481)),f8(f906(x45481),f912(f906(x45481),f906(x45481)),f906(x45481))),f257(f906(x45481),f906(x45481)))),f329(f154(x45481),x45483)))),f169(x45481,x45482,x45484)),f169(x45481,x45482,f329(f329(f154(x45481),x45483),x45484))) % 166.45/166.21 [3667]E(f329(f192(f904(x36671)),f329(f329(f329(f93(x36671),x36672),x36673),x36674)),f2(a905)) % 166.45/166.21 [3792]E(f329(f329(f178(x37921),x37922),f329(f329(f178(x37921),x37923),x37924)),f329(f329(f178(x37921),f329(f329(f237(a905),x37922),x37923)),x37924)) % 166.45/166.21 [3793]E(f329(f329(f141(x37931),x37932),f329(f329(f141(x37931),x37933),x37934)),f329(f329(f141(x37931),f329(f329(f82(a905),x37932),x37933)),x37934)) % 166.45/166.21 [3804]E(f329(f329(f137(x38041),f329(f329(f154(x38041),x38042),x38043)),x38044),f329(f329(f154(x38041),x38042),f329(f329(f137(x38041),x38043),x38044))) % 166.45/166.21 [3805]E(f329(f329(f137(x38051),f329(f329(f137(x38051),x38052),x38053)),x38054),f329(f329(f137(x38051),x38052),f329(f329(f137(x38051),x38053),x38054))) % 166.45/166.21 [3887]E(f329(f329(f167(x38871),f329(f329(f154(x38871),x38872),x38873)),x38874),f188(x38871,x38872,f329(f167(x38871),x38873),x38874)) % 166.45/166.21 [3896]E(f329(f329(f186(x38961,x38961),x38962),f329(f329(f186(x38961,x38961),x38963),x38964)),f329(f329(f186(x38961,x38961),f329(f329(f83(a905),x38963),x38962)),x38964)) % 166.45/166.21 [3925]E(f329(f329(f115(f913(x39251,a900)),x39252),f329(f329(f311(x39251),x39253),x39254)),f329(f329(f311(x39251),x39253),f329(f329(f115(f913(x39251,a900)),x39252),x39254))) % 166.45/166.21 [3940]E(f329(f329(f329(f186(x39401,x39401),x39402),x39403),f329(x39403,x39404)),f329(x39403,f329(f329(f329(f186(x39401,x39401),x39402),x39403),x39404))) % 166.45/166.21 [3948]E(f329(f329(f291(x39481,x39482,x39483),f191(f913(f912(x39481,x39482),a900))),x39484),f191(f913(f912(x39481,x39483),a900))) % 166.45/166.21 [3963]E(f329(f329(f115(f913(x39631,a900)),f329(f329(f311(x39631),x39632),x39633)),x39634),f329(f329(f311(x39631),x39632),f329(f329(f115(f913(x39631,a900)),x39633),x39634))) % 166.45/166.21 [3982]E(f329(f37(f912(x39821,x39822)),f329(f329(f259(x39821,x39822),x39823),f329(f16(f913(x39822,a900),x39821),x39824))),f329(f329(f83(a905),f329(f37(x39821),x39823)),f329(f37(x39822),x39824))) % 166.45/166.21 [3989]E(f329(f329(f106(f913(x39891,a900)),f329(f329(f311(x39891),x39892),x39893)),f329(f329(f311(x39891),x39892),x39894)),f329(f329(f311(x39891),x39892),f329(f329(f106(f913(x39891,a900)),x39893),x39894))) % 166.45/166.21 [4002]E(f329(f329(f115(f913(x40021,a900)),x40022),f329(f329(f115(f913(x40021,a900)),x40023),x40024)),f329(f329(f115(f913(x40021,a900)),x40023),f329(f329(f115(f913(x40021,a900)),x40022),x40024))) % 166.45/166.21 [4003]E(f329(f329(f106(f913(x40031,a900)),x40032),f329(f329(f106(f913(x40031,a900)),x40033),x40034)),f329(f329(f106(f913(x40031,a900)),x40033),f329(f329(f106(f913(x40031,a900)),x40032),x40034))) % 166.45/166.21 [4013]E(f66(x40131,x40132,f329(f329(f8(x40132,f913(x40132,x40132),x40131),x40133),x40134)),f329(f67(x40132,x40131,x40133),x40134)) % 166.45/166.21 [4022]E(f182(x40221,f329(f329(f157(f906(x40222),f906(x40221)),f329(f157(x40222,x40221),x40223)),x40224)),f329(f329(f157(f906(x40222),f906(x40221)),f329(f157(x40222,x40221),x40223)),f182(x40222,x40224))) % 166.45/166.21 [4040]E(f329(f145(f906(x40401),f906(x40401),f137(x40401),f118(x40401)),f329(f329(f157(x40402,f906(x40401)),x40403),x40404)),f166(x40402,x40401,x40403,x40404)) % 166.45/166.21 [4099]E(f329(f74(x40991,x40991,x40991,f329(f329(f186(x40991,x40991),x40992),x40993)),f329(f329(f186(x40991,x40991),x40994),x40993)),f329(f329(f186(x40991,x40991),f329(f329(f82(a905),x40992),x40994)),x40993)) % 166.45/166.21 [4122]E(f329(f329(f106(f913(x41221,a900)),f329(f329(f115(f913(x41221,a900)),x41222),x41223)),f329(f329(f115(f913(x41221,a900)),x41222),x41224)),f329(f329(f115(f913(x41221,a900)),x41222),f329(f329(f106(f913(x41221,a900)),x41223),x41224))) % 166.45/166.21 [4123]E(f329(f329(f106(f913(x41231,a900)),f329(f329(f23(f913(x41231,a900)),x41232),x41233)),f329(f329(f23(f913(x41231,a900)),x41232),x41234)),f329(f329(f23(f913(x41231,a900)),x41232),f329(f329(f115(f913(x41231,a900)),x41233),x41234))) % 166.45/166.21 [4124]E(f329(f329(f115(f913(x41241,a900)),f329(f329(f23(f913(x41241,a900)),x41242),x41243)),f329(f329(f23(f913(x41241,a900)),x41242),x41244)),f329(f329(f23(f913(x41241,a900)),x41242),f329(f329(f106(f913(x41241,a900)),x41243),x41244))) % 166.45/166.21 [4125]E(f329(f329(f115(f913(x41251,a900)),f329(f329(f106(f913(x41251,a900)),x41252),x41253)),f329(f329(f106(f913(x41251,a900)),x41252),x41254)),f329(f329(f106(f913(x41251,a900)),x41252),f329(f329(f115(f913(x41251,a900)),x41253),x41254))) % 166.45/166.21 [4126]E(f329(f329(f23(f913(x41261,a900)),f329(f329(f106(f913(x41261,a900)),x41262),x41263)),f329(f329(f106(f913(x41261,a900)),x41262),x41264)),f329(f329(f106(f913(x41261,a900)),x41262),f329(f329(f23(f913(x41261,a900)),x41263),x41264))) % 166.45/166.21 [4131]E(f329(f37(f912(x41311,x41312)),f329(f329(f259(x41311,x41312),f329(f329(f311(x41311),x41313),f191(f913(x41311,a900)))),f329(f16(f913(x41312,a900),x41311),x41314))),f329(f37(x41312),x41314)) % 166.45/166.21 [4166]E(f329(f329(f42(x41661,f913(x41662,a900)),x41663),f329(f329(f8(f913(x41662,a900),f913(x41662,a900),x41661),f81(f913(x41662,a900))),x41664)),f329(f81(f913(x41662,a900)),f329(f329(f41(x41661,f913(x41662,a900)),x41663),x41664))) % 166.45/166.21 [4167]E(f329(f329(f41(x41671,f913(x41672,a900)),x41673),f329(f329(f8(f913(x41672,a900),f913(x41672,a900),x41671),f81(f913(x41672,a900))),x41674)),f329(f81(f913(x41672,a900)),f329(f329(f42(x41671,f913(x41672,a900)),x41673),x41674))) % 166.45/166.21 [4183]E(f329(f329(f291(x41831,x41831,x41831),f329(f329(f186(f912(x41831,x41831),a900),x41832),x41833)),f329(f329(f186(f912(x41831,x41831),a900),x41834),x41833)),f329(f329(f186(f912(x41831,x41831),a900),f329(f329(f82(a905),x41832),x41834)),x41833)) % 166.45/166.21 [4213]E(f329(f329(f42(x42131,f913(f913(x42132,a900),a900)),x42133),f329(f329(f8(f913(x42132,a900),f913(f913(x42132,a900),a900),x42131),f310(x42132)),x42134)),f329(f310(x42132),f329(f329(f42(x42131,f913(x42132,a900)),x42133),x42134))) % 166.45/166.21 [4242]E(f329(f329(f41(f913(x42421,a900),f913(x42422,a900)),x42423),f329(f329(f7(f913(x42421,a900),f913(x42421,f913(x42422,a900)),f913(x42422,a900)),f41(x42421,f913(x42422,a900))),x42424)),f329(f329(f41(x42421,f913(x42422,a900)),f39(f913(x42421,a900),x42423)),x42424)) % 166.45/166.21 [4243]E(f329(f329(f42(f913(x42431,a900),f913(x42432,a900)),x42433),f329(f329(f7(f913(x42431,a900),f913(x42431,f913(x42432,a900)),f913(x42432,a900)),f42(x42431,f913(x42432,a900))),x42434)),f329(f329(f42(x42431,f913(x42432,a900)),f39(f913(x42431,a900),x42433)),x42434)) % 166.45/166.21 [4248]E(f329(f329(f157(x42481,x42482),x42483),f329(f145(f906(x42481),f906(x42481),f137(x42481),f118(x42481)),x42484)),f329(f145(f906(x42482),f906(x42482),f137(x42482),f118(x42482)),f329(f329(f157(f906(x42481),f906(x42482)),f329(f157(x42481,x42482),x42483)),x42484))) % 166.45/166.21 [4250]E(f188(f906(x42501),f118(x42501),f329(f329(f8(f906(x42501),f906(x42501),a905),f329(f154(x42501),x42502)),f329(f329(f7(a905,f906(x42501),f906(x42501)),f178(x42501)),x42503)),x42504),f329(f329(f178(x42501),x42504),f329(f329(f154(x42501),x42502),x42503))) % 166.45/166.21 [4288]P1(f329(f329(f239(f913(x42881,a900)),f329(f312(x42882,x42881,x42883),f329(f313(x42882,x42881,x42883),x42884))),x42884)) % 166.45/166.21 [4290]E(f329(f312(f912(x42901,x42902),f912(x42902,x42901),f329(f262(x42901,x42902,f912(x42902,x42901)),f329(f7(x42902,x42901,f912(x42902,x42901)),f257(x42902,x42901)))),f329(f329(f259(x42901,x42902),x42903),f329(f16(f913(x42902,a900),x42901),x42904))),f329(f329(f259(x42902,x42901),x42904),f329(f16(f913(x42901,a900),x42902),x42903))) % 166.45/166.21 [4299]E(f329(f329(f41(x42991,f913(x42992,a900)),x42993),f329(f329(f8(f913(x42991,a900),f913(x42992,a900),x42991),f313(x42992,x42991,x42994)),f329(f329(f7(x42991,f913(x42991,a900),f913(x42991,a900)),f311(x42991)),f191(f913(x42991,a900))))),f329(f313(x42992,x42991,x42994),x42993)) % 166.45/166.21 [4300]E(f329(f329(f41(x43001,f913(x43002,a900)),x43003),f329(f329(f8(f913(x43001,a900),f913(x43002,a900),x43001),f288(x43001,x43002,x43004)),f329(f329(f7(x43001,f913(x43001,a900),f913(x43001,a900)),f311(x43001)),f191(f913(x43001,a900))))),f329(f288(x43001,x43002,x43004),x43003)) % 166.45/166.21 [4387]E(f329(f329(f115(f913(x43871,a900)),f329(f329(f115(f913(x43871,a900)),f329(f329(f106(f913(x43871,a900)),x43872),x43873)),f329(f329(f106(f913(x43871,a900)),x43873),x43874))),f329(f329(f106(f913(x43871,a900)),x43874),x43872)),f329(f329(f106(f913(x43871,a900)),f329(f329(f106(f913(x43871,a900)),f329(f329(f115(f913(x43871,a900)),x43872),x43873)),f329(f329(f115(f913(x43871,a900)),x43873),x43874))),f329(f329(f115(f913(x43871,a900)),x43874),x43872))) % 166.45/166.21 [4450]E(f329(f145(f906(x44501),f906(x44501),f137(x44501),f118(x44501)),f329(f329(f157(x44502,f906(x44501)),f329(f329(f7(x44502,f906(x44501),f906(x44501)),f329(f329(f8(x44501,f913(f906(x44501),f906(x44501)),x44502),f154(x44501)),x44503)),f118(x44501))),x44504)),f329(f329(f157(x44502,x44501),x44503),x44504)) % 166.45/166.21 [4460]E(f329(f329(f88(a1,x44601),f329(f108(a1),f329(f329(f82(a1),x44602),a102))),f329(f329(f18(a1,x44601,x44601),f329(f329(f7(a1,x44601,f913(x44601,x44601)),f329(f329(f8(a900,f913(x44601,f913(x44601,x44601)),a1),f99(x44601)),a196)),x44603)),f329(f329(f8(a905,x44601,a1),x44604),a109))),f188(x44601,x44603,x44604,f329(f108(a905),x44602))) % 166.45/166.21 [4491]E(f329(f267(x44911),f329(f329(f8(f913(x44912,a900),a900,x44911),f89(x44912)),f329(f329(f8(f913(x44912,a900),f913(x44912,a900),x44911),f329(f18(x44912,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44912),a327),f329(f329(f7(x44912,f913(x44912,a900),a900),f331(x44912)),x44913)))),f329(f7(x44912,x44911,a900),x44914)))),f329(f288(x44912,x44911,f329(f267(f912(x44912,x44911)),f329(f262(x44912,x44911,a900),x44914))),x44913)) % 166.45/166.21 [4657]~P1(f329(f329(f191(f913(x46571,f913(x46572,a900))),x46573),x46574)) % 166.45/166.21 [3951]E(f329(f329(f167(x39511),f329(f329(f137(x39511),x39512),x39513)),f329(f329(f82(a905),f329(f192(f906(x39511)),x39512)),x39514)),f329(f329(f167(x39511),x39513),x39514)) % 166.45/166.21 [3956]E(f329(f329(f141(x39561),x39562),f329(f329(f178(x39561),f329(f329(f82(a905),x39563),x39562)),x39564)),f329(f329(f178(x39561),x39563),f329(f329(f141(x39561),x39562),x39564))) % 166.45/166.21 [4054]E(f329(f329(f115(f913(x40541,a900)),f329(f287(x40542,x40541),x40543)),f329(f287(x40542,x40541),x40544)),f329(f287(x40542,x40541),f329(f329(f115(f913(f912(x40542,x40541),a900)),x40543),x40544))) % 166.45/166.21 [4055]E(f329(f329(f115(f913(x40551,a900)),f329(f269(x40551,x40552),x40553)),f329(f269(x40551,x40552),x40554)),f329(f269(x40551,x40552),f329(f329(f115(f913(f912(x40551,x40552),a900)),x40553),x40554))) % 166.45/166.21 [4060]E(f329(f329(f115(f913(x40601,a900)),f329(f329(f115(f913(x40601,a900)),x40602),x40603)),x40604),f329(f329(f115(f913(x40601,a900)),x40602),f329(f329(f115(f913(x40601,a900)),x40603),x40604))) % 166.45/166.21 [4061]E(f329(f329(f23(f913(x40611,a900)),f329(f329(f106(f913(x40611,a900)),x40612),x40613)),x40614),f329(f329(f106(f913(x40611,a900)),x40612),f329(f329(f23(f913(x40611,a900)),x40613),x40614))) % 166.45/166.21 [4062]E(f329(f329(f106(f913(x40621,a900)),f329(f329(f106(f913(x40621,a900)),x40622),x40623)),x40624),f329(f329(f106(f913(x40621,a900)),x40622),f329(f329(f106(f913(x40621,a900)),x40623),x40624))) % 166.45/166.21 [4101]E(f329(f329(f115(f913(f912(x41011,x41012),a900)),f329(f289(x41012,x41011),x41013)),f329(f289(x41012,x41011),x41014)),f329(f289(x41012,x41011),f329(f329(f115(f913(f912(x41012,x41011),a900)),x41013),x41014))) % 166.45/166.21 [4102]E(f329(f329(f106(f913(f912(x41021,x41022),a900)),f329(f289(x41022,x41021),x41023)),f329(f289(x41022,x41021),x41024)),f329(f289(x41022,x41021),f329(f329(f106(f913(f912(x41022,x41021),a900)),x41023),x41024))) % 166.45/166.21 [4115]E(f329(f329(f115(f913(x41151,f913(x41152,a900))),f248(x41152,x41151,x41153)),f248(x41152,x41151,x41154)),f248(x41152,x41151,f329(f329(f115(f913(x41152,f913(x41151,a900))),x41153),x41154))) % 166.45/166.21 [4116]E(f329(f329(f106(f913(x41161,f913(x41162,a900))),f248(x41162,x41161,x41163)),f248(x41162,x41161,x41164)),f248(x41162,x41161,f329(f329(f106(f913(x41162,f913(x41161,a900))),x41163),x41164))) % 166.45/166.21 [4170]E(f329(f329(f106(f913(x41701,a900)),f329(f329(f115(f913(x41701,a900)),x41702),x41703)),f329(f329(f115(f913(x41701,a900)),x41704),x41703)),f329(f329(f115(f913(x41701,a900)),f329(f329(f106(f913(x41701,a900)),x41702),x41704)),x41703)) % 166.45/166.21 [4171]E(f329(f329(f115(f913(x41711,a900)),f329(f329(f23(f913(x41711,a900)),x41712),x41713)),f329(f329(f23(f913(x41711,a900)),x41714),x41713)),f329(f329(f23(f913(x41711,a900)),f329(f329(f115(f913(x41711,a900)),x41712),x41714)),x41713)) % 166.45/166.21 [4172]E(f329(f329(f115(f913(x41721,a900)),f329(f329(f106(f913(x41721,a900)),x41722),x41723)),f329(f329(f106(f913(x41721,a900)),x41724),x41723)),f329(f329(f106(f913(x41721,a900)),f329(f329(f115(f913(x41721,a900)),x41722),x41724)),x41723)) % 166.45/166.21 [4173]E(f329(f329(f23(f913(x41731,a900)),f329(f329(f106(f913(x41731,a900)),x41732),x41733)),f329(f329(f106(f913(x41731,a900)),x41734),x41733)),f329(f329(f106(f913(x41731,a900)),f329(f329(f23(f913(x41731,a900)),x41732),x41734)),x41733)) % 166.45/166.21 [4174]E(f329(f329(f23(f913(x41741,a900)),f329(f329(f106(f913(x41741,a900)),x41742),x41743)),f329(f329(f106(f913(x41741,a900)),x41744),x41743)),f329(f329(f23(f913(x41741,a900)),f329(f329(f106(f913(x41741,a900)),x41742),x41743)),x41744)) % 166.45/166.21 [4186]E(f329(f329(f23(f913(x41861,a900)),f329(f329(f23(f913(x41861,a900)),x41862),f329(f329(f311(x41861),x41863),f191(f913(x41861,a900))))),x41864),f329(f329(f23(f913(x41861,a900)),x41862),f329(f329(f311(x41861),x41863),x41864))) % 166.45/166.21 [4239]E(f329(f329(f115(f913(x42391,a900)),f329(f329(f311(x42391),x42392),f329(f329(f311(x42391),x42393),f191(f913(x42391,a900))))),f329(f284(x42391),x42394)),f329(f284(x42391),f329(f329(f311(f912(x42391,x42391)),f329(f329(f257(x42391,x42391),x42392),x42393)),x42394))) % 166.45/166.21 [4264]E(f329(f329(f41(a905,f913(x42641,a900)),f329(f303(a905),x42642)),f329(f329(f8(a905,f913(x42641,a900),a905),x42643),f329(f329(f7(a905,a905,a905),f82(a905)),x42644))),f329(f329(f41(a905,f913(x42641,a900)),f305(a905,x42644,f329(f329(f82(a905),x42642),x42644))),x42643)) % 166.45/166.21 [4265]E(f177(x42651,f329(f288(x42651,x42651,x42652),f329(f329(f311(x42651),x42653),f191(f913(x42651,a900)))),f329(f288(f906(x42651),f906(x42651),f161(x42651,x42652)),f329(f329(f311(f906(x42651)),x42654),f191(f913(f906(x42651),a900))))),f329(f288(f906(x42651),f906(x42651),f161(x42651,x42652)),f329(f329(f311(f906(x42651)),f329(f329(f154(x42651),x42653),x42654)),f191(f913(f906(x42651),a900))))) % 166.45/166.21 [4329]E(f329(f267(x43291),f329(f329(f7(x43291,f913(x43292,a900),a900),f329(f329(f8(x43292,f913(f913(x43292,a900),a900),x43291),f331(x43292)),x43293)),x43294)),f329(f313(x43291,x43292,x43293),x43294)) % 166.45/166.21 [4419]E(f329(f267(x44191),f329(f329(f7(x44191,f913(f912(x44192,x44191),a900),a900),f329(f329(f8(f912(x44192,x44191),f913(f913(f912(x44192,x44191),a900),a900),x44191),f331(f912(x44192,x44191))),f329(f257(x44192,x44191),x44193))),x44194)),f329(f288(x44192,x44191,x44194),f329(f329(f311(x44192),x44193),f191(f913(x44192,a900))))) % 166.45/166.21 [4433]E(f329(f329(f157(f912(x44331,a905),x44331),f256(x44331,a905)),f329(f139(f912(x44331,a905),f329(f329(f8(a905,a900,f912(x44331,a905)),x44332),f329(f329(f8(a905,a905,f912(x44331,a905)),a117),f261(x44331,a905)))),f329(f329(f184(x44331,a905),x44333),x44334))),f329(f329(f157(f912(x44331,a905),x44331),f256(x44331,a905)),f329(f139(f912(x44331,a905),f329(f329(f8(a905,a900,f912(x44331,a905)),x44332),f261(x44331,a905))),f329(f329(f184(x44331,a905),x44333),f329(f329(f157(a905,a905),a117),x44334))))) % 166.45/166.21 [4442]P1(f329(f329(f239(f913(f913(x44421,a900),a900)),f329(f329(f41(x44422,f913(f913(x44421,a900),a900)),x44423),f329(f329(f8(f913(x44421,a900),f913(f913(x44421,a900),a900),x44422),f310(x44421)),x44424))),f329(f310(x44421),f329(f329(f41(x44422,f913(x44421,a900)),x44423),x44424)))) % 166.45/166.21 [4483]E(f329(f329(f88(a1,x44831),f329(f108(a1),f329(f329(f82(a1),x44832),a102))),f329(f329(f18(a1,x44831,x44831),f329(f329(f7(a1,x44831,f913(x44831,x44831)),f329(f329(f8(a900,f913(x44831,f913(x44831,x44831)),a1),f99(x44831)),a196)),x44833)),f329(f329(f18(a1,x44831,x44831),f329(f329(f8(a905,f913(x44831,x44831),a1),x44834),a109)),f329(f329(f8(a905,x44831,a1),f187(x44831,x44833,x44834)),a109)))),f329(f187(x44831,x44833,x44834),f329(f108(a905),x44832))) % 166.45/166.21 [4507]E(f329(f267(f912(x45071,x45072)),f329(f262(x45071,x45072,a900),f329(f329(f7(x45071,f913(x45072,a900),f913(x45072,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x45072,a900),f913(x45072,a900)),x45071),f8(a900,a900,x45072)),f329(f329(f8(a900,f913(a900,a900),x45071),a327),f329(f329(f7(x45071,f913(x45071,a900),a900),f331(x45071)),x45073)))),f329(f329(f7(x45072,f913(x45072,a900),a900),f331(x45072)),x45074)))),f233(x45071,x45072,x45073,x45074)) % 166.45/166.21 [4543]E(f329(f329(f41(x45431,f913(f912(x45431,x45432),a900)),x45433),f329(f329(f18(x45431,f913(x45432,f913(f912(x45431,x45432),a900)),f913(f912(x45431,x45432),a900)),f329(f329(f8(f913(x45432,a900),f913(f913(x45432,f913(f912(x45431,x45432),a900)),f913(f912(x45431,x45432),a900)),x45431),f41(x45432,f913(f912(x45431,x45432),a900))),x45434)),f329(f329(f7(x45431,f913(f912(x45431,x45432),a900),f913(x45432,f913(f912(x45431,x45432),a900))),f329(f329(f8(f913(x45432,f913(f913(f912(x45431,x45432),a900),f913(f912(x45431,x45432),a900))),f913(f913(f912(x45431,x45432),a900),f913(x45432,f913(f912(x45431,x45432),a900))),x45431),f7(x45432,f913(f912(x45431,x45432),a900),f913(f912(x45431,x45432),a900))),f329(f329(f8(f913(x45432,f912(x45431,x45432)),f913(x45432,f913(f913(f912(x45431,x45432),a900),f913(f912(x45431,x45432),a900))),x45431),f329(f8(f912(x45431,x45432),f913(f913(f912(x45431,x45432),a900),f913(f912(x45431,x45432),a900)),x45432),f311(f912(x45431,x45432)))),f257(x45431,x45432)))),f191(f913(f912(x45431,x45432),a900))))),f329(f329(f259(x45431,x45432),x45433),x45434)) % 166.45/166.21 [4110]E(f329(f329(f137(x41101),f329(f329(f178(x41101),x41102),x41103)),f329(f329(f178(x41101),f329(f329(f23(a905),x41102),f329(f192(f906(x41101)),x41103))),x41104)),f329(f329(f178(x41101),x41102),f329(f329(f137(x41101),x41103),x41104))) % 166.45/166.21 [4111]E(f329(f329(f137(x41111),f329(f329(f141(x41111),x41112),x41113)),f329(f329(f141(x41111),f329(f329(f23(a905),x41112),f329(f192(f906(x41111)),x41113))),x41114)),f329(f329(f141(x41111),x41112),f329(f329(f137(x41111),x41113),x41114))) % 166.45/166.21 [4160]E(f329(f329(f82(a905),f329(f329(f83(a905),x41601),x41602)),f329(f329(f82(a905),f329(f329(f83(a905),x41603),x41602)),x41604)),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f82(a905),x41601),x41603)),x41602)),x41604)) % 166.45/166.21 [4305]E(f92(x43051,f329(f329(f7(x43051,x43052,a900),f329(f329(f8(x43052,f913(x43052,a900),x43051),a326),x43053)),x43054)),f329(f94(x43051,x43052,f247(f913(x43051,a900)),x43053),x43054)) % 166.45/166.21 [4353]P1(f329(f329(f239(f913(x43531,a900)),f329(f329(f23(f913(x43531,a900)),f329(f287(x43532,x43531),x43533)),f329(f287(x43532,x43531),x43534))),f329(f287(x43532,x43531),f329(f329(f23(f913(f912(x43532,x43531),a900)),x43533),x43534)))) % 166.45/166.21 [4354]P1(f329(f329(f239(f913(x43541,a900)),f329(f329(f23(f913(x43541,a900)),f329(f269(x43541,x43542),x43543)),f329(f269(x43541,x43542),x43544))),f329(f269(x43541,x43542),f329(f329(f23(f913(f912(x43541,x43542),a900)),x43543),x43544)))) % 166.45/166.21 [4462]E(f329(f329(f82(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x44621),x44622)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x44623),x44624)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),f329(f329(f82(a905),x44621),x44623)),f329(f329(f82(a905),x44622),x44624))),f191(f913(f912(a905,a905),a900)))))) % 166.45/166.21 [4502]E(f329(f329(f83(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x45021),x45022)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x45023),x45024)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),f329(f329(f82(a905),f329(f329(f83(a905),x45021),x45023)),f329(f329(f83(a905),x45022),x45024))),f329(f329(f82(a905),f329(f329(f83(a905),x45021),x45024)),f329(f329(f83(a905),x45022),x45023)))),f191(f913(f912(a905,a905),a900)))))) % 166.45/166.21 [4523]E(f329(f267(x45231),f329(f329(f8(f913(x45232,a900),a900,x45231),f90(x45232)),f329(f329(f8(f913(x45232,a900),f913(x45232,a900),x45231),f329(f18(x45232,a900,a900),f329(f329(f8(a900,f913(a900,a900),x45232),a332),f329(f329(f7(x45232,f913(x45232,a900),a900),f331(x45232)),x45233)))),f329(f329(f7(x45231,f913(x45232,f913(x45231,a900)),f913(x45232,a900)),f329(f329(f8(f913(f913(x45231,a900),a900),f913(f913(x45232,f913(x45231,a900)),f913(x45232,a900)),x45231),f8(f913(x45231,a900),a900,x45232)),f331(x45231))),x45234)))),f329(f329(f42(x45232,f913(x45231,a900)),x45233),x45234)) % 166.45/166.21 [4557]E(f329(f329(f291(x45571,x45571,x45571),f329(f329(f311(f912(x45571,x45571)),f329(f329(f257(x45571,x45571),x45572),x45573)),x45574)),f309(x45571,f329(f329(f311(f912(x45571,x45571)),f329(f329(f257(x45571,x45571),x45572),x45573)),x45574))),f329(f329(f115(f913(f912(x45571,x45571),a900)),f329(f329(f291(x45571,x45571,x45571),x45574),f309(x45571,x45574))),f329(f267(f912(x45571,x45571)),f329(f262(x45571,x45571,a900),f329(f329(f7(x45571,f913(x45571,a900),f913(x45571,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x45571,a900),f913(x45571,a900)),x45571),f8(a900,a900,x45571)),f329(f329(f8(a900,f913(a900,a900),x45571),a327),f329(f329(f7(x45571,f913(f912(x45571,x45571),a900),a900),f329(f329(f8(f912(x45571,x45571),f913(f913(f912(x45571,x45571),a900),a900),x45571),f331(f912(x45571,x45571))),f329(f329(f7(x45571,x45571,f912(x45571,x45571)),f257(x45571,x45571)),x45572))),f309(x45571,x45574))))),f329(f329(f7(x45571,f913(f912(x45571,x45571),a900),a900),f329(f329(f8(f912(x45571,x45571),f913(f913(f912(x45571,x45571),a900),a900),x45571),f331(f912(x45571,x45571))),f329(f257(x45571,x45571),x45573))),f309(x45571,x45574))))))) % 166.45/166.21 [4355]E(f329(f139(x43551,f329(f329(f18(x43551,a900,a900),f329(f329(f8(a900,f913(a900,a900),x43551),a327),x43552)),x43553)),x43554),f329(f139(x43551,x43553),f329(f139(x43551,x43552),x43554))) % 166.45/166.21 [4456]E(f329(f329(f137(x44561),f329(f329(f329(f99(f906(x44561)),f329(f329(f331(a905),f2(a905)),x44562)),f329(f329(f154(x44561),x44563),f118(x44561))),f118(x44561))),f179(x44561,x44564,f329(f267(a905),f329(f329(f7(a905,f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),a905),f331(a905)),a117)),x44562)))),f179(x44561,f329(f329(f154(x44561),x44563),x44564),x44562)) % 166.45/166.21 [4553]E(f329(f267(f912(x45531,x45532)),f329(f329(f8(f913(a905,a900),a900,f912(x45531,x45532)),f89(a905)),f329(f329(f7(f912(x45531,x45532),f913(a905,a900),f913(a905,a900)),f329(f329(f8(f913(a905,f913(a900,a900)),f913(f913(a905,a900),f913(a905,a900)),f912(x45531,x45532)),f18(a905,a900,a900)),f329(f329(f8(f913(a905,a900),f913(a905,f913(a900,a900)),f912(x45531,x45532)),f329(f8(a900,f913(a900,a900),a905),a327)),f329(f329(f7(f912(x45531,x45532),f913(a905,f912(x45531,x45532)),f913(a905,a900)),f329(f329(f8(f913(f912(x45531,x45532),a900),f913(f913(a905,f912(x45531,x45532)),f913(a905,a900)),f912(x45531,x45532)),f8(f912(x45531,x45532),a900,a905)),a326)),f329(f329(f18(a905,x45532,f912(x45531,x45532)),f329(f329(f8(x45531,f913(x45532,f912(x45531,x45532)),a905),f257(x45531,x45532)),f329(f167(x45531),x45533))),f329(f167(x45532),x45534)))))),f329(f329(f7(a905,a905,a900),f240(a905)),f329(f329(f237(a905),f329(f192(f906(x45531)),x45533)),f329(f192(f906(x45532)),x45534)))))),f329(f175(f912(x45531,x45532)),f329(f329(f184(x45531,x45532),x45533),x45534))) % 166.45/166.21 [4475]E(f329(f267(f912(x44751,x44752)),f329(f262(x44751,x44752,a900),f329(f329(f7(x44751,f913(x44752,a900),f913(x44752,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x44752,a900),f913(x44752,a900)),x44751),f8(a900,a900,x44752)),f329(f329(f8(a900,f913(a900,a900),x44751),a327),x44753))),x44754))),f329(f329(f259(x44751,x44752),f329(f267(x44751),x44753)),f329(f16(f913(x44752,a900),x44751),f329(f267(x44752),x44754)))) % 166.45/166.21 [4478]E(f329(f267(f912(x44781,x44782)),f329(f262(x44781,x44782,a900),f329(f329(f18(x44781,f913(x44782,a900),f913(x44782,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x44782,a900),f913(x44782,a900)),x44781),f8(a900,a900,x44782)),f329(f329(f8(a900,f913(a900,a900),x44781),a327),x44783))),x44784))),f329(f329(f259(x44781,x44782),f329(f267(x44781),x44783)),f329(f329(f8(f913(x44782,a900),f913(x44782,a900),x44781),f267(x44782)),x44784))) % 166.45/166.21 [4490]E(f329(f267(x44901),f329(f329(f8(f913(x44902,a900),a900,x44901),f90(x44902)),f329(f329(f8(f913(x44902,a900),f913(x44902,a900),x44901),f329(f18(x44902,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44902),a332),f329(f329(f7(x44902,f913(x44902,a900),a900),f331(x44902)),x44903)))),x44904))),f329(f329(f42(x44902,f913(x44901,a900)),x44903),f329(f329(f8(f913(x44901,a900),f913(x44901,a900),x44902),f267(x44901)),f329(f7(x44901,x44902,a900),x44904)))) % 166.45/166.21 [4535]E(f329(f329(f157(f912(x45351,a905),x45351),f256(x45351,a905)),f329(f139(f912(x45351,a905),f329(f329(f7(f912(x45351,a905),f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),f912(x45351,a905)),f331(a905)),f261(x45351,a905))),x45352)),f329(f329(f184(x45351,a905),x45353),f142(a905,f329(f304(a905,x45354),f329(f329(f82(a905),x45354),f329(f192(f906(x45351)),x45353))))))),f329(f329(f157(f912(x45351,a905),x45351),f256(x45351,a905)),f329(f139(f912(x45351,a905),f329(f329(f7(f912(x45351,a905),f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),f912(x45351,a905)),f331(a905)),f329(f329(f7(f912(x45351,a905),a905,a905),f329(f329(f8(a905,f913(a905,a905),f912(x45351,a905)),f82(a905)),f261(x45351,a905))),x45354))),x45352)),f329(f329(f184(x45351,a905),x45353),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(x45351)),x45353))))))) % 166.45/166.21 [4536]E(f329(a117,f329(f329(f238(a905),f329(f192(f906(x45361)),x45362)),f329(f145(a905,f906(x45363),f329(f7(f906(x45363),a905,a905),f329(f329(f8(a905,f913(a905,a905),f906(x45363)),f238(a905)),f329(f329(f7(f906(x45363),a905,a905),f329(f329(f8(a905,f913(a905,a905),f906(x45363)),f23(a905)),f192(f906(x45363)))),f329(a117,f2(a905))))),f2(a905)),f329(f171(f906(x45363)),f329(f139(f906(x45363),f329(f329(f8(a900,a900,f906(x45363)),a324),f329(f329(f7(f906(x45363),f906(x45363),a900),a326),f118(x45363)))),x45364))))),f329(f329(f238(a905),f329(a117,f329(f192(f906(x45361)),x45362))),f329(f145(a905,f906(x45363),f329(f7(f906(x45363),a905,a905),f329(f329(f8(a905,f913(a905,a905),f906(x45363)),f238(a905)),f192(f906(x45363)))),f2(a905)),f329(f171(f906(x45363)),x45364)))) % 166.45/166.21 [4489]E(f329(f329(f137(x44891),f179(x44891,x44892,x44893)),f179(x44891,x44894,f329(f267(a905),f329(f329(f7(a905,f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),a905),f331(a905)),f329(f329(f7(a905,a905,a905),f82(a905)),f329(f192(f906(x44891)),x44892)))),x44893)))),f179(x44891,f329(f329(f137(x44891),x44892),x44894),x44893)) % 166.45/166.21 [4537]E(f39(f913(x45371,a900),f329(f267(f913(x45371,a900)),f329(f329(f8(f913(x45372,a900),a900,f913(x45371,a900)),f89(x45372)),f329(f329(f8(f913(x45372,a900),f913(x45372,a900),f913(x45371,a900)),f329(f18(x45372,a900,a900),f329(f329(f8(a900,f913(a900,a900),x45372),a327),f329(f329(f7(x45372,f913(x45372,a900),a900),f331(x45372)),x45373)))),f329(f329(f7(f913(x45371,a900),f913(x45372,f913(x45371,a900)),f913(x45372,a900)),f329(f329(f8(f913(f913(x45371,a900),a900),f913(f913(x45372,f913(x45371,a900)),f913(x45372,a900)),f913(x45371,a900)),f8(f913(x45371,a900),a900,x45372)),a326)),x45374))))),f329(f329(f41(x45372,f913(x45371,a900)),x45373),x45374)) % 166.45/166.21 [4538]E(f40(f913(x45381,a900),f329(f267(f913(x45381,a900)),f329(f329(f8(f913(x45382,a900),a900,f913(x45381,a900)),f89(x45382)),f329(f329(f8(f913(x45382,a900),f913(x45382,a900),f913(x45381,a900)),f329(f18(x45382,a900,a900),f329(f329(f8(a900,f913(a900,a900),x45382),a327),f329(f329(f7(x45382,f913(x45382,a900),a900),f331(x45382)),x45383)))),f329(f329(f7(f913(x45381,a900),f913(x45382,f913(x45381,a900)),f913(x45382,a900)),f329(f329(f8(f913(f913(x45381,a900),a900),f913(f913(x45382,f913(x45381,a900)),f913(x45382,a900)),f913(x45381,a900)),f8(f913(x45381,a900),a900,x45382)),a326)),x45384))))),f329(f329(f42(x45382,f913(x45381,a900)),x45383),x45384)) % 166.45/166.21 [4545]E(f329(f329(f154(f906(x45451)),f329(f329(f154(x45451),x45452),f329(f145(f906(x45451),f906(x45451),f137(x45451),f118(x45451)),f329(f329(f157(f906(x45451),f906(x45451)),f159(f906(x45451),x45451,f118(x45451),f329(f329(f8(f906(x45451),f913(f906(x45451),f906(x45451)),x45451),f16(f906(x45451),f906(x45451))),f329(f329(f7(x45451,f906(x45451),f906(x45451)),f154(x45451)),f118(x45451))))),x45453)))),f182(x45451,f329(f329(f154(f906(x45451)),x45454),f329(f145(f906(f906(x45451)),f906(f906(x45451)),f137(f906(x45451)),f118(f906(x45451))),f329(f329(f157(f906(x45451),f906(f906(x45451))),f159(f906(f906(x45451)),x45451,f118(f906(x45451)),f329(f16(f913(f906(x45451),f906(f906(x45451))),x45451),f329(f329(f7(f906(x45451),f906(f906(x45451)),f906(f906(x45451))),f154(f906(x45451))),f118(f906(x45451)))))),x45453))))),f182(x45451,f329(f329(f154(f906(x45451)),f329(f329(f154(x45451),x45452),x45454)),x45453))) % 166.45/166.21 [4554]E(f329(f267(f912(x45541,x45541)),f329(f262(x45541,x45541,a900),f329(f329(f7(x45541,f913(f912(x45542,x45542),a900),f913(x45541,a900)),f329(f329(f8(f913(x45541,f913(f913(f912(x45542,x45542),a900),a900)),f913(f913(f912(x45542,x45542),a900),f913(x45541,a900)),x45541),f7(x45541,f913(f912(x45542,x45542),a900),a900)),f329(f329(f8(f913(x45541,f912(x45542,x45542)),f913(x45541,f913(f913(f912(x45542,x45542),a900),a900)),x45541),f329(f8(f912(x45542,x45542),f913(f913(f912(x45542,x45542),a900),a900),x45541),f331(f912(x45542,x45542)))),f329(f329(f7(x45541,f913(x45541,x45542),f913(x45541,f912(x45542,x45542))),f329(f329(f8(f913(x45542,f912(x45542,x45542)),f913(f913(x45541,x45542),f913(x45541,f912(x45542,x45542))),x45541),f8(x45542,f912(x45542,x45542),x45541)),f329(f329(f8(x45542,f913(x45542,f912(x45542,x45542)),x45541),f257(x45542,x45542)),x45543))),x45543)))),x45544))),f329(f329(f290(x45542,x45541),x45544),x45543)) % 166.45/166.21 [4610]~E(f32(x46101,x46102),f29(x46103,x46104,x46105)) % 166.45/166.21 [4611]~E(f32(x46111,x46112),f28(x46113,x46114,x46115)) % 166.45/166.21 [4612]~E(f31(x46121,x46122),f29(x46123,x46124,x46125)) % 166.45/166.21 [4613]~E(f31(x46131,x46132),f28(x46133,x46134,x46135)) % 166.45/166.21 [4614]~E(f29(x46141,x46142,x46143),f32(x46144,x46145)) % 166.45/166.21 [4615]~E(f29(x46151,x46152,x46153),f31(x46154,x46155)) % 166.45/166.21 [4616]~E(f28(x46161,x46162,x46163),f32(x46164,x46165)) % 166.45/166.21 [4617]~E(f28(x46171,x46172,x46173),f31(x46174,x46175)) % 166.45/166.21 [3686]E(f329(f329(f157(x36861,x36862),x36863),f172(x36861,x36864,x36865)),f172(x36862,x36864,f329(x36863,x36865))) % 166.45/166.21 [4254]E(f329(f76(x42541,x42542,x42543,x42544,x42545),x42544),x42545) % 166.45/166.21 [4306]E(f258(x43061,x43062,x43063,f248(x43062,x43061,x43064),f248(x43063,x43062,x43065)),f248(x43063,x43061,f258(x43063,x43062,x43061,x43065,x43064))) % 166.45/166.21 [3881]E(f329(f329(f262(x38811,x38812,x38813),x38814),x38815),f329(f329(x38814,f329(f256(x38811,x38812),x38815)),f329(f261(x38811,x38812),x38815))) % 166.45/166.21 [3917]E(f329(f329(f329(f67(x39171,x39172,x39173),x39174),x39175),f191(f913(x39172,a900))),x39175) % 166.45/166.21 [4194]E(f329(f74(f906(x41941),f906(x41942),f906(x41943),f329(f157(x41941,x41942),x41944)),f329(f157(x41943,x41941),x41945)),f329(f157(x41943,x41942),f329(f74(x41941,x41942,x41943,x41944),x41945))) % 166.45/166.21 [4268]E(f87(x42681,f68(x42682,x42681,x42683,x42684,x42685)),f329(f329(f66(x42682,x42681,x42683),x42684),x42685)) % 166.45/166.21 [4302]E(f329(f329(f82(a905),f329(f329(f82(a905),f329(x43021,f329(f256(x43022,x43023),x43024))),f329(x43025,f329(f261(x43022,x43023),x43024)))),f329(a117,f2(a905))),f266(x43022,x43023,x43021,x43025,x43024)) % 166.45/166.21 [3817]E(f329(f329(f178(x38171),x38172),f329(f329(f157(x38173,x38171),x38174),x38175)),f329(f329(f157(x38173,x38171),x38174),f329(f329(f178(x38173),x38172),x38175))) % 166.45/166.21 [3818]E(f329(f329(f141(x38181),x38182),f329(f329(f157(x38183,x38181),x38184),x38185)),f329(f329(f157(x38183,x38181),x38184),f329(f329(f141(x38183),x38182),x38185))) % 166.45/166.21 [3850]E(f329(f329(f157(x38501,x38502),x38503),f329(f329(f154(x38501),x38504),x38505)),f329(f329(f154(x38502),f329(x38503,x38504)),f329(f329(f157(x38501,x38502),x38503),x38505))) % 166.45/166.21 [3911]E(f329(f312(x39111,x39112,x39113),f329(f329(f311(x39111),x39114),x39115)),f329(f329(f311(x39112),f329(x39113,x39114)),f329(f312(x39111,x39112,x39113),x39115))) % 166.45/166.21 [3941]E(f176(x39411,f329(f329(f154(x39411),x39412),x39413),f329(f329(f154(x39411),x39414),x39415)),f329(f329(f154(x39411),x39412),f329(f329(f154(x39411),x39414),f176(x39411,x39413,x39415)))) % 166.45/166.21 [3977]E(f329(f329(f184(x39771,x39772),f329(f329(f178(x39771),x39773),x39774)),f329(f329(f178(x39772),x39773),x39775)),f329(f329(f178(f912(x39771,x39772)),x39773),f329(f329(f184(x39771,x39772),x39774),x39775))) % 166.45/166.21 [3978]E(f329(f329(f184(x39781,x39782),f329(f329(f141(x39781),x39783),x39784)),f329(f329(f141(x39782),x39783),x39785)),f329(f329(f141(f912(x39781,x39782)),x39783),f329(f329(f184(x39781,x39782),x39784),x39785))) % 166.45/166.21 [3988]E(f329(f329(f162(x39881,f329(f329(f154(x39881),x39882),x39883)),f329(a117,x39884)),x39885),f329(f329(f154(x39881),x39882),f329(f329(f162(x39881,x39883),x39884),x39885))) % 166.45/166.21 [3991]E(f329(f329(f137(x39911),f329(f329(f157(x39912,x39911),x39913),x39914)),f329(f329(f157(x39912,x39911),x39913),x39915)),f329(f329(f157(x39912,x39911),x39913),f329(f329(f137(x39912),x39914),x39915))) % 166.45/166.21 [3995]E(f329(f329(x39951,x39952),f329(f329(f250(x39953,x39954,x39951),x39952),x39955)),f329(f329(f250(x39953,x39954,x39951),x39952),f329(a117,x39955))) % 166.45/166.21 [4026]E(f166(x40261,x40262,x40263,f329(f329(f154(x40261),x40264),x40265)),f329(f329(f137(x40262),f329(x40263,x40264)),f166(x40261,x40262,x40263,x40265))) % 166.45/166.21 [4038]E(f329(f329(f291(x40381,x40382,x40383),f329(f289(x40382,x40381),x40384)),f329(f289(x40383,x40382),x40385)),f329(f289(x40383,x40381),f329(f329(f291(x40383,x40382,x40381),x40385),x40384))) % 166.45/166.21 [4070]E(f329(f329(f329(f186(f906(x40701),f906(x40701)),x40702),f170(x40701)),f329(f329(f157(x40703,x40701),x40704),x40705)),f329(f329(f157(x40703,x40701),x40704),f329(f329(f329(f186(f906(x40703),f906(x40703)),x40702),f170(x40703)),x40705))) % 166.45/166.21 [4071]E(f329(f329(f264(x40711,x40712,x40711,x40713),f329(f257(x40712,x40711),x40714)),x40715),f329(x40715,x40714)) % 166.45/166.21 [4097]E(f158(x40971,x40972,f329(f329(f157(x40973,x40971),x40974),x40975)),f158(x40973,f329(f74(x40971,a905,x40973,x40972),x40974),x40975)) % 166.45/166.21 [4159]E(f180(f912(x41591,x41592),f329(f74(x41592,a900,f912(x41591,x41592),x41593),f261(x41591,x41592)),f329(f329(f184(x41591,x41592),x41594),x41595)),f329(f329(f184(x41591,x41592),x41594),f180(x41592,x41593,x41595))) % 166.45/166.21 [4164]E(f329(f312(x41641,x41642,f329(f329(f8(x41643,x41642,x41641),x41644),x41645)),f247(f913(x41641,a900))),f329(f312(x41643,x41642,x41644),f329(f312(x41641,x41643,x41645),f247(f913(x41641,a900))))) % 166.45/166.21 [4177]E(f180(f912(x41771,x41772),f329(f74(x41771,a900,f912(x41771,x41772),x41773),f256(x41771,x41772)),f329(f329(f184(x41771,x41772),x41774),x41775)),f329(f329(f184(x41771,x41772),f180(x41771,x41773,x41774)),x41775)) % 166.45/166.21 [4198]E(f329(f329(f115(f913(x41981,a900)),f329(f313(x41981,x41982,x41983),f329(f329(f311(x41982),x41984),f191(f913(x41982,a900))))),f329(f313(x41981,x41982,x41983),x41985)),f329(f313(x41981,x41982,x41983),f329(f329(f311(x41982),x41984),x41985))) % 166.45/166.21 [4253]E(f329(f329(f137(f912(x42531,x42532)),f329(f329(f157(x42532,f912(x42531,x42532)),f329(f257(x42531,x42532),x42533)),x42534)),f61(x42531,x42532,x42535,x42534)),f61(x42531,x42532,f329(f329(f154(x42531),x42533),x42535),x42534)) % 166.45/166.21 [4255]E(f329(f329(f157(x42551,x42552),x42553),f180(x42551,f329(f74(x42552,a900,x42551,x42554),x42553),x42555)),f180(x42552,x42554,f329(f329(f157(x42551,x42552),x42553),x42555))) % 166.45/166.21 [4260]E(f329(f145(x42601,x42602,f329(f7(x42602,x42601,x42601),f329(f7(x42601,x42602,x42601),x42603)),x42604),f329(f171(x42602),f329(f171(x42602),x42605))),f329(f145(x42601,x42602,x42603,x42604),x42605)) % 166.45/166.21 [4363]P1(f329(f329(f239(f913(x43631,a900)),f329(f312(x43632,x43631,x43633),f329(f329(f106(f913(x43632,a900)),x43634),x43635))),f329(f329(f106(f913(x43631,a900)),f329(f312(x43632,x43631,x43633),x43634)),f329(f312(x43632,x43631,x43633),x43635)))) % 166.45/166.21 [4364]P1(f329(f329(f239(f913(x43641,a900)),f329(f288(x43642,x43641,x43643),f329(f329(f106(f913(x43642,a900)),x43644),x43645))),f329(f329(f106(f913(x43641,a900)),f329(f288(x43642,x43641,x43643),x43644)),f329(f288(x43642,x43641,x43643),x43645)))) % 166.45/166.21 [4463]E(f329(f261(x44631,x44632),f329(f263(x44633,x44631,x44632,x44632,x44634,f33(x44632)),x44635)),f329(f261(x44633,x44632),x44635)) % 166.45/166.21 [4464]E(f329(f256(x44641,x44642),f329(f263(x44641,x44641,x44643,x44642,f33(x44641),x44644),x44645)),f329(f256(x44641,x44643),x44645)) % 166.45/166.21 [4552]P23(x45521,x45522,f329(f329(f311(f904(x45521)),f329(f329(f329(f93(x45521),f329(f329(f7(x45521,f913(a901,a900),f913(a901,a900)),f329(f329(f8(f913(a901,f913(a900,a900)),f913(f913(a901,a900),f913(a901,a900)),x45521),f18(a901,a900,a900)),f329(f329(f8(f913(a901,a900),f913(a901,f913(a900,a900)),x45521),f329(f8(a900,f913(a900,a900),a901),a327)),x45523))),f329(f329(f8(a900,a900,a901),a324),x45524))),f31(x45524,x45525)),x45523)),f191(f913(f904(x45521),a900)))) % 166.45/166.21 [3656]E(f329(f329(f329(f329(f208(x36561),x36562),x36563),x36564),x36565),f195(x36561,x36562)) % 166.45/166.21 [3657]E(f329(f329(f329(f329(f212(x36571),x36572),x36573),x36574),x36575),f203(x36571,x36572)) % 166.45/166.21 [3702]E(f96(x37021,x37022,f329(f329(f329(f93(x37021),x37023),x37024),x37025)),f2(a905)) % 166.45/166.21 [4027]E(f329(f329(f41(x40271,f913(x40272,a900)),f329(f329(f311(x40271),x40273),x40274)),x40275),f329(f329(f115(f913(x40272,a900)),f329(x40275,x40273)),f329(f329(f41(x40271,f913(x40272,a900)),x40274),x40275))) % 166.45/166.21 [4028]E(f329(f329(f42(x40281,f913(x40282,a900)),f329(f329(f311(x40281),x40283),x40284)),x40285),f329(f329(f106(f913(x40282,a900)),f329(x40285,x40283)),f329(f329(f42(x40281,f913(x40282,a900)),x40284),x40285))) % 166.45/166.21 [4078]E(f329(f123(x40781,x40782,f329(x40783,x40784)),f329(f329(f7(x40781,a104,f907(x40782)),x40785),x40784)),f329(f201(x40781,x40782,x40783,x40785),x40784)) % 166.45/166.21 [4091]E(f329(f329(f115(f913(x40911,a900)),f329(f312(x40912,x40911,x40913),x40914)),f329(f312(x40912,x40911,x40913),x40915)),f329(f312(x40912,x40911,x40913),f329(f329(f115(f913(x40912,a900)),x40914),x40915))) % 166.45/166.21 [4092]E(f329(f329(f115(f913(x40921,a900)),f329(f313(x40921,x40922,x40923),x40924)),f329(f313(x40921,x40922,x40923),x40925)),f329(f313(x40921,x40922,x40923),f329(f329(f115(f913(x40922,a900)),x40924),x40925))) % 166.45/166.21 [4093]E(f329(f329(f23(f913(x40931,a900)),f329(f313(x40931,x40932,x40933),x40934)),f329(f313(x40931,x40932,x40933),x40935)),f329(f313(x40931,x40932,x40933),f329(f329(f23(f913(x40932,a900)),x40934),x40935))) % 166.45/166.21 [4094]E(f329(f329(f106(f913(x40941,a900)),f329(f313(x40941,x40942,x40943),x40944)),f329(f313(x40941,x40942,x40943),x40945)),f329(f313(x40941,x40942,x40943),f329(f329(f106(f913(x40942,a900)),x40944),x40945))) % 166.45/166.21 [4095]E(f329(f329(f115(f913(x40951,a900)),f329(f288(x40952,x40951,x40953),x40954)),f329(f288(x40952,x40951,x40953),x40955)),f329(f288(x40952,x40951,x40953),f329(f329(f115(f913(x40952,a900)),x40954),x40955))) % 166.45/166.21 [4155]E(f329(f329(f162(x41551,f329(f329(f137(x41551),x41552),f329(f329(f154(x41551),x41553),x41554))),f329(f192(f906(x41551)),x41552)),x41555),f329(f329(f137(x41551),x41552),f329(f329(f154(x41551),x41555),x41554))) % 166.45/166.21 [4162]E(f329(f329(f42(x41621,f913(x41622,a900)),x41623),f329(f329(f8(f913(x41622,a900),f913(x41622,a900),x41621),f329(f311(x41622),x41624)),x41625)),f329(f329(f311(x41622),x41624),f329(f329(f42(x41621,f913(x41622,a900)),x41623),x41625))) % 166.45/166.21 [4315]E(f329(f329(f157(x43151,x43152),x43153),f329(f139(x43151,f329(f74(x43152,a900,x43151,x43154),x43153)),x43155)),f329(f139(x43152,x43154),f329(f329(f157(x43151,x43152),x43153),x43155))) % 166.45/166.21 [4321]E(f329(f192(f906(x43211)),f329(f139(x43211,x43212),f329(f329(f157(x43213,x43211),x43214),x43215))),f329(f192(f906(x43213)),f329(f139(x43213,f329(f74(x43211,a900,x43213,x43212),x43214)),x43215))) % 166.45/166.21 [4528]E(f329(f159(f906(f912(x45281,x45282)),x45282,f118(f912(x45281,x45282)),f329(f329(f7(x45282,f913(f906(x45282),f906(f912(x45281,x45282))),f913(f906(x45282),f906(f912(x45281,x45282)))),f329(f329(f8(f913(f906(f912(x45281,x45282)),f906(f912(x45281,x45282))),f913(f913(f906(x45282),f906(f912(x45281,x45282))),f913(f906(x45282),f906(f912(x45281,x45282)))),x45282),f8(f906(f912(x45281,x45282)),f906(f912(x45281,x45282)),f906(x45282))),f329(f329(f8(f912(x45281,x45282),f913(f906(f912(x45281,x45282)),f906(f912(x45281,x45282))),x45282),f154(f912(x45281,x45282))),f329(f257(x45281,x45282),x45283)))),f329(f184(x45281,x45282),x45284))),x45285),f329(f329(f184(x45281,x45282),f329(f329(f154(x45281),x45283),x45284)),x45285)) % 166.45/166.22 [4020]E(f329(f329(f162(x40201,f329(f329(f162(x40201,x40202),x40203),x40204)),x40203),x40205),f329(f329(f162(x40201,x40202),x40203),x40205)) % 166.45/166.22 [4072]E(f329(f287(x40721,x40722),f329(f329(f311(f912(x40721,x40722)),f329(f329(f257(x40721,x40722),x40723),x40724)),x40725)),f329(f329(f311(x40722),x40724),f329(f287(x40721,x40722),x40725))) % 166.45/166.22 [4073]E(f329(f269(x40731,x40732),f329(f329(f311(f912(x40731,x40732)),f329(f329(f257(x40731,x40732),x40733),x40734)),x40735)),f329(f329(f311(x40731),x40733),f329(f269(x40731,x40732),x40735))) % 166.45/166.22 [4120]E(f126(x41201,x41202,f329(x41203,x41204),f329(f329(f7(x41201,a104,f907(f909(x41202))),x41205),x41204)),f329(f199(x41201,x41202,x41203,x41205),x41204)) % 166.45/166.22 [4148]E(f329(f329(f115(f913(f912(x41481,x41482),a900)),f329(f329(f259(x41481,x41482),x41483),x41484)),f329(f329(f259(x41481,x41482),x41485),x41484)),f329(f329(f259(x41481,x41482),f329(f329(f115(f913(x41481,a900)),x41483),x41485)),x41484)) % 166.45/166.22 [4149]E(f329(f329(f23(f913(f912(x41491,x41492),a900)),f329(f329(f259(x41491,x41492),x41493),x41494)),f329(f329(f259(x41491,x41492),x41495),x41494)),f329(f329(f259(x41491,x41492),f329(f329(f23(f913(x41491,a900)),x41493),x41495)),x41494)) % 166.45/166.22 [4150]E(f329(f329(f106(f913(f912(x41501,x41502),a900)),f329(f329(f259(x41501,x41502),x41503),x41504)),f329(f329(f259(x41501,x41502),x41505),x41504)),f329(f329(f259(x41501,x41502),f329(f329(f106(f913(x41501,a900)),x41503),x41505)),x41504)) % 166.45/166.22 [4209]E(f329(f329(f115(f913(x42091,a900)),f329(f329(f41(x42092,f913(x42091,a900)),x42093),x42094)),f329(f329(f41(x42092,f913(x42091,a900)),x42095),x42094)),f329(f329(f41(x42092,f913(x42091,a900)),f329(f329(f115(f913(x42092,a900)),x42093),x42095)),x42094)) % 166.45/166.22 [4210]E(f329(f329(f106(f913(x42101,a900)),f329(f329(f42(x42102,f913(x42101,a900)),x42103),x42104)),f329(f329(f42(x42102,f913(x42101,a900)),x42105),x42104)),f329(f329(f42(x42102,f913(x42101,a900)),f329(f329(f115(f913(x42102,a900)),x42103),x42105)),x42104)) % 166.45/166.22 [4224]E(f329(f329(f41(x42241,f913(x42242,a900)),x42243),f329(f329(f8(f913(x42242,a900),f913(x42242,a900),x42241),f329(f23(f913(x42242,a900)),x42244)),x42245)),f329(f329(f23(f913(x42242,a900)),x42244),f329(f329(f42(x42241,f913(x42242,a900)),x42243),x42245))) % 166.45/166.22 [4225]E(f329(f329(f41(x42251,f913(x42252,a900)),x42253),f329(f329(f8(f913(x42252,a900),f913(x42252,a900),x42251),f329(f106(f913(x42252,a900)),x42254)),x42255)),f329(f329(f106(f913(x42252,a900)),x42254),f329(f329(f41(x42251,f913(x42252,a900)),x42253),x42255))) % 166.45/166.22 [4226]E(f329(f329(f42(x42261,f913(x42262,a900)),x42263),f329(f329(f8(f913(x42262,a900),f913(x42262,a900),x42261),f329(f115(f913(x42262,a900)),x42264)),x42265)),f329(f329(f115(f913(x42262,a900)),x42264),f329(f329(f42(x42261,f913(x42262,a900)),x42263),x42265))) % 166.45/166.22 [4280]E(f188(f906(x42801),f329(f329(f154(x42801),x42802),x42803),f329(f329(f8(f906(x42801),f906(x42801),a905),f329(f154(x42801),x42804)),f329(f329(f7(a905,x42801,f906(x42801)),f162(x42801,x42803)),x42802)),x42805),f329(f329(f162(x42801,f329(f329(f154(x42801),x42804),x42803)),x42805),x42802)) % 166.45/166.22 [4284]E(f329(f329(f41(x42841,f913(f912(x42842,x42843),a900)),x42844),f329(f329(f8(f913(f912(x42843,x42842),a900),f913(f912(x42842,x42843),a900),x42841),f289(x42843,x42842)),x42845)),f329(f289(x42843,x42842),f329(f329(f41(x42841,f913(f912(x42843,x42842),a900)),x42844),x42845))) % 166.45/166.22 [4285]E(f329(f329(f42(x42851,f913(f912(x42852,x42853),a900)),x42854),f329(f329(f8(f913(f912(x42853,x42852),a900),f913(f912(x42852,x42853),a900),x42851),f289(x42853,x42852)),x42855)),f329(f289(x42853,x42852),f329(f329(f42(x42851,f913(f912(x42853,x42852),a900)),x42854),x42855))) % 166.45/166.22 [4386]P1(f329(f329(f239(f913(x43861,a900)),f329(f329(f23(f913(x43861,a900)),f329(f312(x43862,x43861,x43863),x43864)),f329(f312(x43862,x43861,x43863),x43865))),f329(f312(x43862,x43861,x43863),f329(f329(f23(f913(x43862,a900)),x43864),x43865)))) % 166.45/166.22 [4531]E(f329(f159(f906(f912(x45311,x45312)),x45311,f118(f912(x45311,x45312)),f329(f329(f7(x45311,f913(f906(x45311),f906(f912(x45311,x45312))),f913(f906(x45311),f906(f912(x45311,x45312)))),f329(f329(f8(f913(f906(f912(x45311,x45312)),f906(f912(x45311,x45312))),f913(f913(f906(x45311),f906(f912(x45311,x45312))),f913(f906(x45311),f906(f912(x45311,x45312)))),x45311),f8(f906(f912(x45311,x45312)),f906(f912(x45311,x45312)),f906(x45311))),f329(f329(f8(f912(x45311,x45312),f913(f906(f912(x45311,x45312)),f906(f912(x45311,x45312))),x45311),f154(f912(x45311,x45312))),f329(f329(f7(x45311,x45312,f912(x45311,x45312)),f257(x45311,x45312)),x45313)))),f329(f329(f7(f906(x45311),f906(x45312),f906(f912(x45311,x45312))),f184(x45311,x45312)),x45314))),x45315),f329(f329(f184(x45311,x45312),x45315),f329(f329(f154(x45312),x45313),x45314))) % 166.45/166.22 [4249]E(f329(f329(f115(f913(x42491,a900)),f329(f288(x42492,x42491,x42493),x42494)),f329(f288(x42492,x42491,x42495),x42494)),f329(f288(x42492,x42491,f329(f329(f115(f913(f912(x42492,x42491),a900)),x42493),x42495)),x42494)) % 166.45/166.22 [4286]E(f329(f329(f137(f912(x42861,x42862)),f329(f329(f184(x42861,x42862),x42863),f329(f329(f178(x42862),f329(f192(f906(x42861)),x42863)),x42864))),f329(f329(f184(x42861,x42862),x42865),f329(f329(f141(x42862),f329(f192(f906(x42861)),x42863)),x42864))),f329(f329(f184(x42861,x42862),f329(f329(f137(x42861),x42863),x42865)),x42864)) % 166.45/166.22 [4389]E(f329(f329(f259(x43891,x43892),x43893),f329(f329(f18(x43891,f913(x43892,a900),f913(x43892,a900)),f329(f329(f8(f913(x43892,a900),f913(f913(x43892,a900),f913(x43892,a900)),x43891),f115(f913(x43892,a900))),x43894)),x43895)),f329(f329(f115(f913(f912(x43891,x43892),a900)),f329(f329(f259(x43891,x43892),x43893),x43894)),f329(f329(f259(x43891,x43892),x43893),x43895))) % 166.45/166.22 [4390]E(f329(f329(f259(x43901,x43902),x43903),f329(f329(f18(x43901,f913(x43902,a900),f913(x43902,a900)),f329(f329(f8(f913(x43902,a900),f913(f913(x43902,a900),f913(x43902,a900)),x43901),f23(f913(x43902,a900))),x43904)),x43905)),f329(f329(f23(f913(f912(x43901,x43902),a900)),f329(f329(f259(x43901,x43902),x43903),x43904)),f329(f329(f259(x43901,x43902),x43903),x43905))) % 166.45/166.22 [4391]E(f329(f329(f259(x43911,x43912),x43913),f329(f329(f18(x43911,f913(x43912,a900),f913(x43912,a900)),f329(f329(f8(f913(x43912,a900),f913(f913(x43912,a900),f913(x43912,a900)),x43911),f106(f913(x43912,a900))),x43914)),x43915)),f329(f329(f106(f913(f912(x43911,x43912),a900)),f329(f329(f259(x43911,x43912),x43913),x43914)),f329(f329(f259(x43911,x43912),x43913),x43915))) % 166.45/166.22 [4395]E(f329(f329(f41(x43951,f913(x43952,a900)),x43953),f329(f329(f7(x43951,f913(x43952,a900),f913(x43952,a900)),f329(f329(f8(f913(x43952,a900),f913(f913(x43952,a900),f913(x43952,a900)),x43951),f23(f913(x43952,a900))),x43954)),x43955)),f329(f329(f23(f913(x43952,a900)),f329(f329(f41(x43951,f913(x43952,a900)),x43953),x43954)),x43955)) % 166.45/166.22 [4396]E(f329(f329(f41(x43961,f913(x43962,a900)),x43963),f329(f329(f7(x43961,f913(x43962,a900),f913(x43962,a900)),f329(f329(f8(f913(x43962,a900),f913(f913(x43962,a900),f913(x43962,a900)),x43961),f106(f913(x43962,a900))),x43964)),x43965)),f329(f329(f106(f913(x43962,a900)),f329(f329(f41(x43961,f913(x43962,a900)),x43963),x43964)),x43965)) % 166.45/166.22 [4397]E(f329(f329(f42(x43971,f913(x43972,a900)),x43973),f329(f329(f7(x43971,f913(x43972,a900),f913(x43972,a900)),f329(f329(f8(f913(x43972,a900),f913(f913(x43972,a900),f913(x43972,a900)),x43971),f115(f913(x43972,a900))),x43974)),x43975)),f329(f329(f115(f913(x43972,a900)),f329(f329(f42(x43971,f913(x43972,a900)),x43973),x43974)),x43975)) % 166.45/166.22 [4401]E(f329(f329(f41(x44011,f913(x44012,a900)),x44013),f329(f329(f18(x44011,f913(x44012,a900),f913(x44012,a900)),f329(f329(f8(f913(x44012,a900),f913(f913(x44012,a900),f913(x44012,a900)),x44011),f115(f913(x44012,a900))),x44014)),x44015)),f329(f329(f115(f913(x44012,a900)),f329(f329(f41(x44011,f913(x44012,a900)),x44013),x44014)),f329(f329(f41(x44011,f913(x44012,a900)),x44013),x44015))) % 166.45/166.22 [4402]E(f329(f329(f42(x44021,f913(x44022,a900)),x44023),f329(f329(f18(x44021,f913(x44022,a900),f913(x44022,a900)),f329(f329(f8(f913(x44022,a900),f913(f913(x44022,a900),f913(x44022,a900)),x44021),f106(f913(x44022,a900))),x44024)),x44025)),f329(f329(f106(f913(x44022,a900)),f329(f329(f42(x44021,f913(x44022,a900)),x44023),x44024)),f329(f329(f42(x44021,f913(x44022,a900)),x44023),x44025))) % 166.45/166.22 [4415]E(f329(f329(f41(x44151,f913(x44152,a900)),x44153),f329(f329(f18(x44151,f913(x44152,a900),f913(x44152,a900)),f329(f329(f8(f913(x44152,a900),f913(f913(x44152,a900),f913(x44152,a900)),x44151),f115(f913(x44152,a900))),x44154)),x44155)),f329(f329(f115(f913(x44152,a900)),f39(f913(x44152,a900),f329(f312(x44151,f913(x44152,a900),x44154),x44153))),f39(f913(x44152,a900),f329(f312(x44151,f913(x44152,a900),x44155),x44153)))) % 166.45/166.22 [4416]E(f329(f329(f42(x44161,f913(x44162,a900)),x44163),f329(f329(f18(x44161,f913(x44162,a900),f913(x44162,a900)),f329(f329(f8(f913(x44162,a900),f913(f913(x44162,a900),f913(x44162,a900)),x44161),f106(f913(x44162,a900))),x44164)),x44165)),f329(f329(f106(f913(x44162,a900)),f40(f913(x44162,a900),f329(f312(x44161,f913(x44162,a900),x44164),x44163))),f40(f913(x44162,a900),f329(f312(x44161,f913(x44162,a900),x44165),x44163)))) % 166.45/166.22 [4452]E(f329(f329(f141(x44521),f329(f192(f906(x44521)),f180(x44521,x44522,f329(f329(f157(x44523,x44521),x44524),x44525)))),f329(f329(f157(x44523,x44521),x44524),x44525)),f329(f329(f157(x44523,x44521),x44524),f329(f329(f141(x44523),f329(f192(f906(x44523)),f180(x44523,f329(f74(x44521,a900,x44523,x44522),x44524),x44525))),x44525))) % 166.45/166.22 [4328]E(f329(f329(f137(f912(x43281,x43282)),f329(f329(f184(x43281,x43282),f329(f329(f178(x43281),f329(f192(f906(x43282)),x43283)),x43284)),x43283)),f329(f329(f184(x43281,x43282),f329(f329(f141(x43281),f329(f192(f906(x43282)),x43283)),x43284)),x43285)),f329(f329(f184(x43281,x43282),x43284),f329(f329(f137(x43282),x43283),x43285))) % 166.45/166.22 [4443]E(f87(x44431,f329(f329(f18(x44431,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44431),a327),f329(f329(f7(x44431,f913(x44431,a900),a900),f331(x44431)),x44432))),f329(f329(f7(x44431,x44433,a900),f329(f329(f8(x44433,f913(x44433,a900),x44431),a326),x44434)),x44435))),f329(f79(x44431,x44433,x44432,x44434),x44435)) % 166.45/166.22 [4444]E(f92(x44441,f329(f329(f18(x44441,a900,a900),f329(f329(f8(a900,f913(a900,a900),x44441),a327),f329(f329(f7(x44441,f913(x44441,a900),a900),f331(x44441)),x44442))),f329(f329(f7(x44441,x44443,a900),f329(f329(f8(x44443,f913(x44443,a900),x44441),a326),x44444)),x44445))),f329(f94(x44441,x44443,x44442,x44444),x44445)) % 166.45/166.22 [4492]E(f329(f329(f88(a1,x44921),f329(f108(a1),f329(f329(f82(a1),x44922),a102))),f329(f329(f18(a1,x44921,x44921),f329(f329(f7(a1,x44921,f913(x44921,x44921)),f329(f329(f8(a900,f913(x44921,f913(x44921,x44921)),a1),f99(x44921)),a196)),f188(x44921,x44923,x44924,x44925))),f329(f329(f8(a905,x44921,a1),x44924),f329(f329(f7(a1,a905,a905),f329(f329(f8(a905,f913(a905,a905),a1),f82(a905)),a109)),x44925)))),f188(x44921,x44923,x44924,f329(f329(f82(a905),f329(f108(a905),x44922)),x44925))) % 166.45/166.22 [4527]E(f329(f329(f88(a1,x45271),f329(f108(a1),f329(f329(f82(a1),x45272),a102))),f329(f329(f18(a1,x45271,x45271),f329(f329(f7(a1,x45271,f913(x45271,x45271)),f329(f329(f8(a900,f913(x45271,f913(x45271,x45271)),a1),f99(x45271)),a196)),f329(f187(x45271,x45273,x45274),x45275))),f329(f329(f18(a1,x45271,x45271),f329(f329(f8(a905,f913(x45271,x45271),a1),x45274),f329(f329(f7(a1,a905,a905),f329(f329(f8(a905,f913(a905,a905),a1),f82(a905)),a109)),x45275))),f329(f329(f8(a905,x45271,a1),f187(x45271,x45273,x45274)),f329(f329(f7(a1,a905,a905),f329(f329(f8(a905,f913(a905,a905),a1),f82(a905)),a109)),x45275))))),f329(f187(x45271,x45273,x45274),f329(f329(f82(a905),f329(f108(a905),x45272)),x45275))) % 166.45/166.22 [4562]E(f329(f267(f912(x45621,x45622)),f329(f262(x45621,x45622,a900),f329(f329(f8(f913(x45622,f913(x45623,a900)),f913(x45622,a900),x45621),f329(f8(f913(x45623,a900),a900,x45622),f89(x45623))),f329(f329(f7(x45621,f913(x45622,f913(x45623,a900)),f913(x45622,f913(x45623,a900))),f329(f329(f8(f913(f913(x45623,a900),f913(x45623,a900)),f913(f913(x45622,f913(x45623,a900)),f913(x45622,f913(x45623,a900))),x45621),f8(f913(x45623,a900),f913(x45623,a900),x45622)),f329(f329(f8(f913(x45623,f913(a900,a900)),f913(f913(x45623,a900),f913(x45623,a900)),x45621),f18(x45623,a900,a900)),f329(f329(f8(f913(x45623,a900),f913(x45623,f913(a900,a900)),x45621),f329(f8(a900,f913(a900,a900),x45623),a327)),f329(f329(f7(x45621,f913(f912(x45621,x45623),a900),f913(x45623,a900)),f329(f329(f8(f913(x45623,f913(f913(f912(x45621,x45623),a900),a900)),f913(f913(f912(x45621,x45623),a900),f913(x45623,a900)),x45621),f7(x45623,f913(f912(x45621,x45623),a900),a900)),f329(f329(f8(f913(x45623,f912(x45621,x45623)),f913(x45623,f913(f913(f912(x45621,x45623),a900),a900)),x45621),f329(f8(f912(x45621,x45623),f913(f913(f912(x45621,x45623),a900),a900),x45623),f331(f912(x45621,x45623)))),f257(x45621,x45623)))),x45624))))),f329(f329(f7(x45622,f913(f912(x45623,x45622),a900),f913(x45623,a900)),f329(f329(f8(f913(x45623,f913(f913(f912(x45623,x45622),a900),a900)),f913(f913(f912(x45623,x45622),a900),f913(x45623,a900)),x45622),f7(x45623,f913(f912(x45623,x45622),a900),a900)),f329(f329(f8(f913(x45623,f912(x45623,x45622)),f913(x45623,f913(f913(f912(x45623,x45622),a900),a900)),x45622),f329(f8(f912(x45623,x45622),f913(f913(f912(x45623,x45622),a900),a900),x45623),f331(f912(x45623,x45622)))),f329(f7(x45623,x45622,f912(x45623,x45622)),f257(x45623,x45622))))),x45625))))),f329(f329(f291(x45621,x45623,x45622),x45624),x45625)) % 166.45/166.22 [4636]~E(f28(x46361,x46362,x46363),f29(x46364,x46365,x46366)) % 166.45/166.22 [4178]E(f228(x41781,x41782,x41783,x41784,f224(x41781,x41782,x41785,x41786)),f329(f329(x41784,x41785),x41786)) % 166.45/166.22 [4179]E(f229(x41791,x41792,x41793,x41794,f224(x41791,x41792,x41795,x41796)),f329(f329(x41794,x41795),x41796)) % 166.45/166.22 [4304]E(f131(x43041,x43042,x43043,x43044,f130(x43042,x43045,x43046)),f329(f329(f329(x43044,x43045),x43046),f131(x43041,x43042,x43043,x43044,x43046))) % 166.45/166.22 [4323]E(f76(x43231,x43232,f76(x43231,x43232,x43233,x43234,x43235),x43234,x43236),f76(x43231,x43232,x43233,x43234,x43236)) % 166.45/166.22 [4431]E(f329(f74(f912(x44311,x44312),x44312,f912(x44313,x44314),f261(x44311,x44312)),f263(x44313,x44311,x44314,x44312,x44315,x44316)),f329(f74(x44314,x44312,f912(x44313,x44314),x44316),f261(x44313,x44314))) % 166.45/166.22 [4432]E(f329(f74(f912(x44321,x44322),x44321,f912(x44323,x44324),f256(x44321,x44322)),f263(x44323,x44321,x44324,x44322,x44325,x44326)),f329(f74(x44323,x44321,f912(x44323,x44324),x44325),f256(x44323,x44324))) % 166.45/166.22 [4048]E(f329(f329(f74(x40481,x40482,x40483,x40484),x40485),x40486),f329(x40484,f329(x40485,x40486))) % 166.45/166.22 [4188]E(f227(x41881,f912(x41882,f907(x41882)),x41883,f329(f262(x41882,f907(x41882),x41881),x41884),f329(f138(x41882),f130(x41882,x41885,x41886))),f329(f329(x41884,x41885),x41886)) % 166.45/166.22 [4238]E(f230(x42381,x42382,x42383,x42384,f224(x42381,x42382,x42385,x42386)),f329(f329(f82(a905),f329(f329(f82(a905),f329(x42383,x42385)),f329(x42384,x42386))),f329(a117,f2(a905)))) % 166.45/166.22 [3848]E(f329(f329(f262(x38481,x38482,x38483),x38484),f329(f329(f257(x38481,x38482),x38485),x38486)),f329(f329(x38484,x38485),x38486)) % 166.45/166.22 [3908]E(f329(f329(f329(f8(x39081,x39082,x39083),x39084),x39085),x39086),f329(x39084,f329(x39085,x39086))) % 166.45/166.22 [3909]E(f329(f329(f329(f7(x39091,x39092,x39093),x39094),x39095),x39096),f329(f329(x39094,x39096),x39095)) % 166.45/166.22 [3927]E(f329(f329(f329(f18(x39271,x39272,x39273),x39274),x39275),x39276),f329(f329(x39274,x39276),f329(x39275,x39276))) % 166.45/166.22 [3949]E(f329(f159(x39491,x39492,x39493,x39494),f329(f329(f154(x39492),x39495),x39496)),f329(f329(x39494,x39495),x39496)) % 166.45/166.22 [3987]E(f172(f912(x39871,x39872),f329(f329(f237(a905),x39873),x39874),f329(f329(f257(x39871,x39872),x39875),x39876)),f329(f329(f184(x39871,x39872),f172(x39871,x39873,x39875)),f172(x39872,x39874,x39876))) % 166.45/166.22 [4052]E(f329(f329(f154(f912(x40521,x40522)),f329(f329(f257(x40521,x40522),x40523),x40524)),f329(f329(f184(x40521,x40522),x40525),x40526)),f329(f329(f184(x40521,x40522),f329(f329(f154(x40521),x40523),x40525)),f329(f329(f154(x40522),x40524),x40526))) % 166.45/166.22 [4053]E(f329(f329(f157(x40531,x40532),x40533),f329(f329(f162(x40531,x40534),x40535),x40536)),f329(f329(f162(x40532,f329(f329(f157(x40531,x40532),x40533),x40534)),x40535),f329(x40533,x40536))) % 166.45/166.22 [4077]E(f329(f329(f260(x40771,x40772,x40773,x40774),x40775),x40776),f329(x40774,f329(f329(f257(x40771,x40772),x40775),x40776))) % 166.45/166.22 [4096]E(f329(f145(x40961,x40962,x40963,x40964),f329(f329(f154(x40962),x40965),x40966)),f329(f145(x40961,x40962,x40963,f329(f329(x40963,x40964),x40965)),x40966)) % 166.45/166.22 [4121]E(f265(x41211,x41212,x41213,x41214,f329(f329(f257(x41211,x41212),x41215),x41216)),f329(f329(x41214,x41215),x41216)) % 166.45/166.22 [4202]E(f329(f329(f41(x42021,f913(x42022,a900)),x42023),f329(f74(x42024,f913(x42022,a900),x42021,x42025),x42026)),f329(f329(f41(x42024,f913(x42022,a900)),f329(f312(x42021,x42024,x42026),x42023)),x42025)) % 166.45/166.22 [4252]E(f329(f329(f157(x42521,x42522),x42523),f329(f329(f157(x42524,x42521),x42525),x42526)),f329(f329(f157(x42524,x42522),f329(f74(x42521,x42522,x42524,x42523),x42525)),x42526)) % 166.45/166.22 [4258]E(f329(f312(x42581,x42582,f329(f74(x42583,x42582,x42581,x42584),x42585)),x42586),f329(f312(x42583,x42582,x42584),f329(f312(x42581,x42583,x42585),x42586))) % 166.45/166.22 [4259]E(f329(f313(x42591,x42592,f329(f74(x42593,x42592,x42591,x42594),x42595)),x42596),f329(f313(x42591,x42593,x42595),f329(f313(x42593,x42592,x42594),x42596))) % 166.45/166.22 [4287]E(f329(f145(x42871,x42872,x42873,f329(f145(x42871,x42872,x42873,x42874),x42875)),x42876),f329(f145(x42871,x42872,x42873,x42874),f329(f329(f137(x42872),x42875),x42876))) % 166.45/166.22 [4421]E(f329(f263(x44211,x44211,x44212,x44213,f33(x44211),x44214),f329(f329(f257(x44211,x44212),x44215),x44216)),f329(f329(f257(x44211,x44213),x44215),f329(x44214,x44216))) % 166.45/166.22 [4422]E(f329(f263(x44221,x44222,x44223,x44223,x44224,f33(x44223)),f329(f329(f257(x44221,x44223),x44225),x44226)),f329(f329(f257(x44222,x44223),f329(x44224,x44225)),x44226)) % 166.45/166.22 [4510]E(f329(f329(f157(f912(x45101,x45102),f912(x45101,x45103)),f329(f262(x45101,x45102,f912(x45101,x45103)),f329(f329(f7(x45101,f913(x45102,x45103),f913(x45102,f912(x45101,x45103))),f329(f329(f8(f913(x45103,f912(x45101,x45103)),f913(f913(x45102,x45103),f913(x45102,f912(x45101,x45103))),x45101),f8(x45103,f912(x45101,x45103),x45102)),f257(x45101,x45103))),x45104))),f329(f329(f184(x45101,x45102),x45105),x45106)),f329(f329(f184(x45101,x45103),x45105),f329(f329(f157(x45102,x45103),x45104),x45106))) % 166.45/166.22 [3913]E(f97(x39131,x39132,x39133,f329(f329(f329(f93(x39131),x39134),x39135),x39136)),f329(f329(f329(x39133,x39134),x39135),x39136)) % 166.45/166.22 [3914]E(f98(x39141,x39142,x39143,f329(f329(f329(f93(x39141),x39144),x39145),x39146)),f329(f329(f329(x39143,x39144),x39145),x39146)) % 166.45/166.22 [4105]E(f329(f329(f74(x41051,x41052,x41053,f329(f16(x41052,x41051),x41054)),x41055),x41056),x41054) % 166.45/166.22 [4137]E(f329(f312(x41371,x41372,x41373),f329(f312(x41374,x41371,x41375),x41376)),f329(f312(x41374,x41372,f329(f329(f8(x41371,x41372,x41374),x41373),x41375)),x41376)) % 166.45/166.22 [4143]E(f329(f329(f41(x41431,f913(x41432,a900)),f329(f312(x41433,x41431,x41434),x41435)),x41436),f329(f329(f41(x41433,f913(x41432,a900)),x41435),f329(f329(f8(x41431,f913(x41432,a900),x41433),x41436),x41434))) % 166.45/166.22 [4144]E(f329(f329(f42(x41441,f913(x41442,a900)),f329(f312(x41443,x41441,x41444),x41445)),x41446),f329(f329(f42(x41443,f913(x41442,a900)),x41445),f329(f329(f8(x41441,f913(x41442,a900),x41443),x41446),x41444))) % 166.45/166.22 [4145]E(f329(f329(f41(x41451,f913(x41452,a900)),x41453),f329(f329(f8(x41454,f913(x41452,a900),x41451),x41455),x41456)),f329(f329(f41(x41454,f913(x41452,a900)),f329(f312(x41451,x41454,x41456),x41453)),x41455)) % 166.45/166.22 [4146]E(f329(f329(f42(x41461,f913(x41462,a900)),x41463),f329(f329(f8(x41464,f913(x41462,a900),x41461),x41465),x41466)),f329(f329(f42(x41464,f913(x41462,a900)),f329(f312(x41461,x41464,x41466),x41463)),x41465)) % 166.45/166.22 [4204]E(f329(f329(f41(x42041,f913(x42042,a900)),x42043),f329(f329(f8(f913(x42044,a900),f913(x42042,a900),x42041),f312(x42044,x42042,x42045)),x42046)),f329(f312(x42044,x42042,x42045),f329(f329(f41(x42041,f913(x42044,a900)),x42043),x42046))) % 166.45/166.22 [4205]E(f329(f329(f41(x42051,f913(x42052,a900)),x42053),f329(f329(f8(f913(x42054,a900),f913(x42052,a900),x42051),f313(x42052,x42054,x42055)),x42056)),f329(f313(x42052,x42054,x42055),f329(f329(f41(x42051,f913(x42054,a900)),x42053),x42056))) % 166.45/166.22 [4206]E(f329(f329(f42(x42061,f913(x42062,a900)),x42063),f329(f329(f8(f913(x42064,a900),f913(x42062,a900),x42061),f313(x42062,x42064,x42065)),x42066)),f329(f313(x42062,x42064,x42065),f329(f329(f42(x42061,f913(x42064,a900)),x42063),x42066))) % 166.45/166.22 [4207]E(f329(f329(f41(x42071,f913(x42072,a900)),x42073),f329(f329(f8(f913(x42074,a900),f913(x42072,a900),x42071),f288(x42074,x42072,x42075)),x42076)),f329(f288(x42074,x42072,x42075),f329(f329(f41(x42071,f913(x42074,a900)),x42073),x42076))) % 166.45/166.22 [4292]E(f329(f145(x42921,x42922,f329(f7(x42922,x42921,x42921),x42923),x42924),f329(f171(x42922),f329(f329(f154(x42922),x42925),x42926))),f329(f329(x42923,x42925),f329(f145(x42921,x42922,f329(f7(x42922,x42921,x42921),x42923),x42924),f329(f171(x42922),x42926)))) % 166.45/166.22 [4350]E(f329(f329(f18(f912(x43501,x43502),x43502,x43503),f329(f329(f8(x43504,f913(x43502,x43503),f912(x43501,x43502)),x43505),f329(f329(f8(x43501,x43504,f912(x43501,x43502)),x43506),f256(x43501,x43502)))),f261(x43501,x43502)),f329(f262(x43501,x43502,x43503),f329(f329(f8(x43504,f913(x43502,x43503),x43501),x43505),x43506))) % 166.45/166.22 [4357]E(f329(f145(x43571,x43572,f329(f7(x43572,x43571,x43571),x43573),f329(f145(x43571,x43572,f329(f7(x43572,x43571,x43571),x43573),x43574),f329(f171(x43572),x43575))),f329(f171(x43572),x43576)),f329(f145(x43571,x43572,f329(f7(x43572,x43571,x43571),x43573),x43574),f329(f171(x43572),f329(f329(f137(x43572),x43576),x43575)))) % 166.45/166.22 [4359]E(f329(f329(f157(f912(x43591,x43592),f912(x43593,x43592)),f329(f262(x43591,x43592,f912(x43593,x43592)),f329(f329(f8(x43593,f913(x43592,f912(x43593,x43592)),x43591),f257(x43593,x43592)),x43594))),f329(f329(f184(x43591,x43592),x43595),x43596)),f329(f329(f184(x43593,x43592),f329(f329(f157(x43591,x43593),x43594),x43595)),x43596)) % 166.45/166.22 [4404]P1(f329(f329(f239(f913(x44041,a900)),f329(f288(x44042,x44041,x44043),f329(f329(f42(x44044,f913(x44042,a900)),x44045),x44046))),f329(f329(f42(x44044,f913(x44041,a900)),x44045),f329(f329(f8(f913(x44042,a900),f913(x44041,a900),x44044),f288(x44042,x44041,x44043)),x44046)))) % 166.45/166.22 [4217]E(f329(f329(f184(x42171,x42172),f329(f329(f162(x42171,x42173),x42174),f329(f256(x42171,x42172),x42175))),f329(f329(f162(x42172,x42176),x42174),f329(f261(x42171,x42172),x42175))),f329(f329(f162(f912(x42171,x42172),f329(f329(f184(x42171,x42172),x42173),x42176)),x42174),x42175)) % 166.45/166.22 [4275]E(f329(f329(f115(f913(f912(x42751,x42752),a900)),f329(f329(f291(x42751,x42753,x42752),x42754),x42755)),f329(f329(f291(x42751,x42753,x42752),x42754),x42756)),f329(f329(f291(x42751,x42753,x42752),x42754),f329(f329(f115(f913(f912(x42753,x42752),a900)),x42755),x42756))) % 166.45/166.22 [4369]E(f329(f329(f311(f912(x43691,x43692)),f329(f329(f257(x43691,x43692),x43693),x43694)),f329(f329(f115(f913(f912(x43691,x43692),a900)),f329(f329(f259(x43691,x43692),x43695),f329(f16(f913(x43692,a900),x43691),f329(f329(f311(x43692),x43694),x43696)))),f329(f329(f259(x43691,x43692),f329(f329(f311(x43691),x43693),x43695)),f329(f16(f913(x43692,a900),x43691),x43696)))),f329(f329(f259(x43691,x43692),f329(f329(f311(x43691),x43693),x43695)),f329(f16(f913(x43692,a900),x43691),f329(f329(f311(x43692),x43694),x43696)))) % 166.45/166.22 [4448]E(f329(f329(f106(f913(x44481,a900)),f329(f313(x44481,x44482,f329(f74(f912(x44482,x44483),x44482,x44481,f256(x44482,x44483)),x44484)),x44485)),f329(f313(x44481,x44483,f329(f74(f912(x44482,x44483),x44483,x44481,f261(x44482,x44483)),x44484)),x44486)),f329(f313(x44481,f912(x44482,x44483),x44484),f329(f329(f259(x44482,x44483),x44485),f329(f16(f913(x44483,a900),x44482),x44486)))) % 166.45/166.22 [4298]E(f329(f329(f115(f913(f912(x42981,x42982),a900)),f329(f329(f291(x42981,x42983,x42982),x42984),x42985)),f329(f329(f291(x42981,x42983,x42982),x42986),x42985)),f329(f329(f291(x42981,x42983,x42982),f329(f329(f115(f913(f912(x42981,x42983),a900)),x42984),x42986)),x42985)) % 166.45/166.22 [4429]E(f329(f329(f41(x44291,f913(x44292,a900)),x44293),f329(f329(f7(x44291,f913(x44294,f913(x44292,a900)),f913(x44292,a900)),f329(f329(f8(f913(x44294,a900),f913(f913(x44294,f913(x44292,a900)),f913(x44292,a900)),x44291),f41(x44294,f913(x44292,a900))),x44295)),x44296)),f329(f329(f41(x44294,f913(x44292,a900)),f329(f329(f41(x44291,f913(x44294,a900)),x44293),x44295)),x44296)) % 166.45/166.22 [4430]E(f329(f329(f42(x44301,f913(x44302,a900)),x44303),f329(f329(f7(x44301,f913(x44304,f913(x44302,a900)),f913(x44302,a900)),f329(f329(f8(f913(x44304,a900),f913(f913(x44304,f913(x44302,a900)),f913(x44302,a900)),x44301),f42(x44304,f913(x44302,a900))),x44305)),x44306)),f329(f329(f42(x44304,f913(x44302,a900)),f329(f329(f41(x44301,f913(x44304,a900)),x44303),x44305)),x44306)) % 166.45/166.22 [4482]E(f329(f262(x44821,x44822,f912(x44823,x44824)),f329(f329(f7(x44821,f913(x44822,x44824),f913(x44822,f912(x44823,x44824))),f329(f329(f8(f913(x44824,f912(x44823,x44824)),f913(f913(x44822,x44824),f913(x44822,f912(x44823,x44824))),x44821),f8(x44824,f912(x44823,x44824),x44822)),f329(f329(f8(x44823,f913(x44824,f912(x44823,x44824)),x44821),f257(x44823,x44824)),x44825))),x44826)),f263(x44821,x44823,x44822,x44824,x44825,x44826)) % 166.45/166.22 [4505]E(f329(f312(x45051,x45052,f329(f329(f18(x45051,x45052,x45052),f329(f329(f18(x45051,x45052,f913(x45052,x45052)),f329(f329(f8(a900,f913(x45052,f913(x45052,x45052)),x45051),f99(x45052)),x45053)),x45054)),x45055)),x45056),f329(f329(f115(f913(x45052,a900)),f329(f312(x45051,x45052,x45054),f329(f329(f106(f913(x45051,a900)),x45056),f329(f267(x45051),x45053)))),f329(f312(x45051,x45052,x45055),f329(f329(f106(f913(x45051,a900)),x45056),f329(f267(x45051),f329(f329(f8(a900,a900,x45051),a324),x45053)))))) % 166.45/166.22 [4517]E(f329(f312(x45171,f912(x45172,x45173),f329(f329(f18(x45171,x45173,f912(x45172,x45173)),f329(f329(f8(x45172,f913(x45173,f912(x45172,x45173)),x45171),f257(x45172,x45173)),x45174)),x45175)),x45176),f329(f329(f259(x45172,x45173),f329(f312(x45171,x45172,x45174),x45176)),f329(f329(f8(f913(x45171,a900),f913(x45173,a900),x45172),f312(x45171,x45173,x45175)),f329(f329(f7(x45172,f913(x45171,a900),f913(x45171,a900)),f329(f329(f8(f913(x45171,a900),f913(f913(x45171,a900),f913(x45171,a900)),x45172),f106(f913(x45171,a900))),f329(f329(f8(f913(x45172,a900),f913(x45171,a900),x45172),f313(x45171,x45172,x45174)),f329(f329(f7(x45172,f913(x45172,a900),f913(x45172,a900)),f311(x45172)),f191(f913(x45172,a900)))))),x45176)))) % 166.45/166.22 [4542]E(f251(x45421,x45422,x45423,x45424,x45425,x45426),f329(x45424,f329(f267(x45421),f329(f329(f8(f913(f913(x45423,x45421),a900),a900,x45421),f89(f913(x45423,x45421))),f329(f329(f8(f913(f913(x45423,x45421),a900),f913(f913(x45423,x45421),a900),x45421),f329(f18(f913(x45423,x45421),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x45423,x45421)),a327),f329(f329(f7(f913(x45423,x45421),f913(f913(x45423,x45421),a900),a900),f331(f913(x45423,x45421))),x45425)))),f329(f329(f7(x45421,f913(f913(x45423,x45421),x45421),f913(f913(x45423,x45421),a900)),f329(f329(f8(f913(x45421,a900),f913(f913(f913(x45423,x45421),x45421),f913(f913(x45423,x45421),a900)),x45421),f8(x45421,a900,f913(x45423,x45421))),a326)),f329(f329(f7(f913(x45423,x45421),x45423,x45421),f5(f913(x45423,x45421))),x45426))))))) % 166.45/166.22 [4331]E(f329(f74(x43311,x43312,x43313,x43314),f76(x43313,x43311,x43315,x43316,x43317)),f76(x43313,x43312,f329(f74(x43311,x43312,x43313,x43314),x43315),x43316,f329(x43314,x43317))) % 166.45/166.22 [4465]E(f329(f261(x44651,x44652),f329(f263(x44653,x44651,x44654,x44652,x44655,x44656),x44657)),f329(x44656,f329(f261(x44653,x44654),x44657))) % 166.45/166.22 [4466]E(f329(f256(x44661,x44662),f329(f263(x44663,x44661,x44664,x44662,x44665,x44666),x44667)),f329(x44665,f329(f256(x44663,x44664),x44667))) % 166.45/166.22 [4180]E(f329(f329(f184(x41801,x41802),f329(f329(f162(x41801,x41803),x41804),x41805)),f329(f329(f162(x41802,x41806),x41804),x41807)),f329(f329(f162(f912(x41801,x41802),f329(f329(f184(x41801,x41802),x41803),x41806)),x41804),f329(f329(f257(x41801,x41802),x41805),x41807))) % 166.45/166.22 [4247]E(f329(f329(f329(f264(x42471,x42472,x42473,x42474),x42475),x42476),x42477),f329(f329(f262(x42472,x42473,x42474),x42476),f329(x42475,x42477))) % 166.45/166.22 [4257]E(f329(f329(f329(f264(x42571,x42572,x42573,x42574),x42575),x42576),x42577),f329(f329(x42576,f329(f256(x42572,x42573),f329(x42575,x42577))),f329(f261(x42572,x42573),f329(x42575,x42577)))) % 166.45/166.22 [4309]E(f329(f74(x43091,x43092,x43093,x43094),f329(f74(x43095,x43091,x43093,x43096),x43097)),f329(f74(x43095,x43092,x43093,f329(f74(x43091,x43092,x43095,x43094),x43096)),x43097)) % 166.45/166.22 [4486]E(f329(f263(x44861,x44862,x44863,x44863,x44864,f33(x44863)),f329(f263(x44861,x44861,x44865,x44863,f33(x44861),x44866),x44867)),f329(f329(f257(x44862,x44863),f329(x44864,f329(f256(x44861,x44865),x44867))),f329(x44866,f329(f261(x44861,x44865),x44867)))) % 166.45/166.22 [4487]E(f329(f263(x44871,x44871,x44872,x44873,f33(x44871),x44874),f329(f263(x44875,x44871,x44872,x44872,x44876,f33(x44872)),x44877)),f329(f329(f257(x44871,x44873),f329(x44876,f329(f256(x44875,x44872),x44877))),f329(x44874,f329(f261(x44875,x44872),x44877)))) % 166.45/166.22 [4503]E(f329(f263(x45031,x45032,x45033,x45033,x45034,f33(x45033)),f329(f263(x45035,x45031,x45033,x45033,x45036,f33(x45033)),x45037)),f329(f263(x45035,x45032,x45033,x45033,f329(f74(x45031,x45032,x45035,x45034),x45036),f33(x45033)),x45037)) % 166.45/166.22 [4504]E(f329(f263(x45041,x45041,x45042,x45043,f33(x45041),x45044),f329(f263(x45041,x45041,x45045,x45042,f33(x45041),x45046),x45047)),f329(f263(x45041,x45041,x45045,x45043,f33(x45041),f329(f74(x45042,x45043,x45045,x45044),x45046)),x45047)) % 166.45/166.22 [4514]E(f329(f263(x45141,x45142,x45143,x45143,x45144,f33(x45143)),f329(f263(x45141,x45141,x45145,x45143,f33(x45141),x45146),x45147)),f329(f263(x45142,x45142,x45145,x45143,f33(x45142),x45146),f329(f263(x45141,x45142,x45145,x45145,x45144,f33(x45145)),x45147))) % 166.45/166.22 [4214]E(f329(f329(f291(x42141,x42142,x42143),f329(f329(f291(x42141,x42144,x42142),x42145),x42146)),x42147),f329(f329(f291(x42141,x42144,x42143),x42145),f329(f329(f291(x42144,x42142,x42143),x42146),x42147))) % 166.45/166.22 [4281]E(f329(f329(f262(x42811,x42812,x42813),f329(f74(x42814,f913(x42812,x42813),x42811,x42815),x42816)),x42817),f329(f329(x42815,f329(x42816,f329(f256(x42811,x42812),x42817))),f329(f261(x42811,x42812),x42817))) % 166.45/166.22 [4362]E(f329(f145(x43621,x43622,f329(f7(x43622,x43621,x43621),x43623),x43624),f329(f171(x43622),f329(f329(f157(x43625,x43622),x43626),x43627))),f329(f145(x43621,x43625,f329(f7(x43625,x43621,x43621),f329(f74(x43622,f913(x43621,x43621),x43625,x43623),x43626)),x43624),f329(f171(x43625),x43627))) % 166.45/166.22 [4310]E(f329(f329(f41(x43101,f913(f912(x43102,x43103),a900)),x43104),f329(f329(f8(f913(f912(x43105,x43103),a900),f913(f912(x43102,x43103),a900),x43101),f329(f291(x43102,x43105,x43103),x43106)),x43107)),f329(f329(f291(x43102,x43105,x43103),x43106),f329(f329(f41(x43101,f913(f912(x43105,x43103),a900)),x43104),x43107))) % 166.45/166.22 [4453]E(f329(f329(f41(x44531,f913(f912(x44532,x44533),a900)),x44534),f329(f329(f7(x44531,f913(f912(x44535,x44533),a900),f913(f912(x44532,x44533),a900)),f329(f329(f8(f913(f912(x44532,x44535),a900),f913(f913(f912(x44535,x44533),a900),f913(f912(x44532,x44533),a900)),x44531),f291(x44532,x44535,x44533)),x44536)),x44537)),f329(f329(f291(x44532,x44535,x44533),f329(f329(f41(x44531,f913(f912(x44532,x44535),a900)),x44534),x44536)),x44537)) % 166.45/166.22 [4454]E(f329(f145(x44541,x44542,f329(f329(f7(x44541,f913(x44542,x44543),f913(x44542,x44541)),f329(f329(f8(f913(x44543,x44541),f913(f913(x44542,x44543),f913(x44542,x44541)),x44541),f8(x44543,x44541,x44542)),x44544)),x44545),x44546),x44547),f329(f145(x44541,x44543,x44544,x44546),f329(f329(f157(x44542,x44543),x44545),x44547))) % 166.45/166.22 [4515]E(f329(f329(f42(x45151,f913(x45152,a900)),x45153),f329(f329(f8(f913(x45154,f913(x45152,a900)),f913(x45152,a900),x45151),f329(f42(x45154,f913(x45152,a900)),x45155)),f329(f329(f7(x45151,f913(x45154,f913(x45152,a900)),f913(x45154,f913(x45152,a900))),f329(f329(f8(f913(f913(x45152,a900),f913(x45152,a900)),f913(f913(x45154,f913(x45152,a900)),f913(x45154,f913(x45152,a900))),x45151),f8(f913(x45152,a900),f913(x45152,a900),x45154)),f329(f329(f8(f913(x45152,a900),f913(f913(x45152,a900),f913(x45152,a900)),x45151),f115(f913(x45152,a900))),x45156))),x45157))),f329(f329(f115(f913(x45152,a900)),f329(f329(f42(x45151,f913(x45152,a900)),x45153),x45156)),f329(f329(f42(x45154,f913(x45152,a900)),x45155),x45157))) % 166.45/166.22 [4516]E(f329(f329(f41(x45161,f913(x45162,a900)),x45163),f329(f329(f8(f913(x45164,f913(x45162,a900)),f913(x45162,a900),x45161),f329(f41(x45164,f913(x45162,a900)),x45165)),f329(f329(f7(x45161,f913(x45164,f913(x45162,a900)),f913(x45164,f913(x45162,a900))),f329(f329(f8(f913(f913(x45162,a900),f913(x45162,a900)),f913(f913(x45164,f913(x45162,a900)),f913(x45164,f913(x45162,a900))),x45161),f8(f913(x45162,a900),f913(x45162,a900),x45164)),f329(f329(f8(f913(x45162,a900),f913(f913(x45162,a900),f913(x45162,a900)),x45161),f106(f913(x45162,a900))),x45166))),x45167))),f329(f329(f106(f913(x45162,a900)),f329(f329(f41(x45161,f913(x45162,a900)),x45163),x45166)),f329(f329(f41(x45164,f913(x45162,a900)),x45165),x45167))) % 166.45/166.22 [4508]E(f201(x45081,x45082,f329(f329(f329(x45083,x45084),x45085),x45086),f329(f329(f7(x45081,f912(a104,a104),f913(a104,f907(x45082))),f329(f329(f7(x45081,a104,f913(f912(a104,a104),f913(a104,f907(x45082)))),f329(f329(f7(x45081,a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(x45082))))),x45087),x45084)),x45085)),x45086)),f329(f329(f329(f213(x45081,x45082,x45083,x45087),x45084),x45085),x45086)) % 166.45/166.22 [4522]E(f202(x45221,x45222,f329(f329(f329(x45223,x45224),x45225),x45226),f329(f329(f7(x45221,f912(a104,a104),f913(a104,f907(x45222))),f329(f329(f7(x45221,a104,f913(f912(a104,a104),f913(a104,f907(x45222)))),f329(f329(f7(x45221,a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(x45222))))),x45227),x45224)),x45225)),x45226)),f215(x45221,x45222,x45223,x45227,x45224,x45225,x45226)) % 166.45/166.22 [4513]E(f199(x45131,x45132,f329(f329(f329(x45133,x45134),x45135),x45136),f329(f329(f7(x45131,f912(a104,a104),f913(a104,f907(f909(x45132)))),f329(f329(f7(x45131,a104,f913(f912(a104,a104),f913(a104,f907(f909(x45132))))),f329(f329(f7(x45131,a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(f909(x45132)))))),x45137),x45134)),x45135)),x45136)),f329(f329(f329(f209(x45131,x45132,x45133,x45137),x45134),x45135),x45136)) % 166.45/166.22 [4524]E(f200(x45241,x45242,f329(f329(f329(x45243,x45244),x45245),x45246),f329(f329(f7(x45241,f912(a104,a104),f913(a104,f907(f909(x45242)))),f329(f329(f7(x45241,a104,f913(f912(a104,a104),f913(a104,f907(f909(x45242))))),f329(f329(f7(x45241,a104,f913(a104,f913(f912(a104,a104),f913(a104,f907(f909(x45242)))))),x45247),x45244)),x45245)),x45246)),f211(x45241,x45242,x45243,x45247,x45244,x45245,x45246)) % 166.45/166.22 [4423]E(f329(f263(x44231,x44232,x44233,x44234,x44235,x44236),f329(f329(f257(x44231,x44233),x44237),x44238)),f329(f329(f257(x44232,x44234),f329(x44235,x44237)),f329(x44236,x44238))) % 166.45/166.22 [4526]E(f329(f329(f157(f912(x45261,x45262),f912(x45263,x45264)),f329(f262(x45261,x45262,f912(x45263,x45264)),f329(f329(f7(x45261,f913(x45262,x45264),f913(x45262,f912(x45263,x45264))),f329(f329(f8(f913(x45264,f912(x45263,x45264)),f913(f913(x45262,x45264),f913(x45262,f912(x45263,x45264))),x45261),f8(x45264,f912(x45263,x45264),x45262)),f329(f329(f8(x45263,f913(x45264,f912(x45263,x45264)),x45261),f257(x45263,x45264)),x45265))),x45266))),f329(f329(f184(x45261,x45262),x45267),x45268)),f329(f329(f184(x45263,x45264),f329(f329(f157(x45261,x45263),x45265),x45267)),f329(f329(f157(x45262,x45264),x45266),x45268))) % 166.45/166.22 [4529]E(f329(f329(f157(f912(x45291,x45292),x45293),f329(f262(x45291,x45292,x45293),f329(f329(f8(f913(x45292,f912(x45291,x45294)),f913(x45292,x45293),x45291),f329(f8(f912(x45291,x45294),x45293,x45292),x45295)),f329(f329(f7(x45291,f913(x45292,x45294),f913(x45292,f912(x45291,x45294))),f329(f329(f8(f913(x45294,f912(x45291,x45294)),f913(f913(x45292,x45294),f913(x45292,f912(x45291,x45294))),x45291),f8(x45294,f912(x45291,x45294),x45292)),f257(x45291,x45294))),x45296)))),f329(f329(f184(x45291,x45292),x45297),x45298)),f329(f329(f157(f912(x45291,x45294),x45293),x45295),f329(f329(f184(x45291,x45294),x45297),f329(f329(f157(x45292,x45294),x45296),x45298)))) % 166.45/166.22 [4457]E(f329(f329(f157(f912(x44571,x44572),x44573),f329(f262(x44571,x44572,x44573),f329(f329(f8(f913(x44572,f912(x44574,x44572)),f913(x44572,x44573),x44571),f329(f8(f912(x44574,x44572),x44573,x44572),x44575)),f329(f329(f8(x44574,f913(x44572,f912(x44574,x44572)),x44571),f257(x44574,x44572)),x44576)))),f329(f329(f184(x44571,x44572),x44577),x44578)),f329(f329(f157(f912(x44574,x44572),x44573),x44575),f329(f329(f184(x44574,x44572),f329(f329(f157(x44571,x44574),x44576),x44577)),x44578))) % 166.45/166.22 [4414]E(f329(f329(f262(x44141,x44142,x44143),f329(f329(f8(f913(x44142,f912(x44144,x44145)),f913(x44142,x44143),x44141),f329(f8(f912(x44144,x44145),x44143,x44142),f329(f262(x44144,x44145,x44143),x44146))),x44147)),x44148),f329(f329(f262(x44144,x44145,x44143),x44146),f329(f329(f262(x44141,x44142,f912(x44144,x44145)),x44147),x44148))) % 166.45/166.22 [4530]E(f329(f329(f41(f912(x45301,x45302),f913(f912(x45303,x45304),a900)),f329(f329(f259(x45301,x45302),x45305),f329(f16(f913(x45302,a900),x45301),x45306))),f329(f262(x45301,x45302,f913(f912(x45303,x45304),a900)),f329(f329(f7(x45301,f913(x45302,f913(x45303,f913(x45304,a900))),f913(x45302,f913(f912(x45303,x45304),a900))),f329(f329(f8(f913(f913(x45303,f913(x45304,a900)),f913(f912(x45303,x45304),a900)),f913(f913(x45302,f913(x45303,f913(x45304,a900))),f913(x45302,f913(f912(x45303,x45304),a900))),x45301),f8(f913(x45303,f913(x45304,a900)),f913(f912(x45303,x45304),a900),x45302)),f329(f329(f8(f913(x45303,a900),f913(f913(x45303,f913(x45304,a900)),f913(f912(x45303,x45304),a900)),x45301),f259(x45303,x45304)),x45307))),f329(f329(f8(f913(x45304,a900),f913(x45303,f913(x45304,a900)),x45302),f16(f913(x45304,a900),x45303)),x45308)))),f329(f329(f259(x45303,x45304),f329(f329(f41(x45301,f913(x45303,a900)),x45305),x45307)),f329(f16(f913(x45304,a900),x45303),f329(f329(f41(x45302,f913(x45304,a900)),x45306),x45308)))) % 166.45/166.22 [4471]E(f329(f329(f264(x44711,x44712,x44713,x44714),f329(f329(f264(x44711,x44715,x44716,f912(x44712,x44713)),x44717),x44718)),x44719),f329(f329(f264(x44711,x44715,x44716,x44714),x44717),f329(f329(f7(x44715,f913(x44712,f913(x44713,x44714)),f913(x44716,x44714)),f329(f329(f8(f913(x44716,f912(x44712,x44713)),f913(f913(x44712,f913(x44713,x44714)),f913(x44716,x44714)),x44715),f264(x44716,x44712,x44713,x44714)),x44718)),x44719))) % 166.45/166.22 [4500]E(f329(f74(f912(x45001,x45002),f912(x45003,x45004),f912(x45005,x45006),f263(x45001,x45003,x45002,x45004,x45007,x45008)),f263(x45005,x45001,x45006,x45002,x45009,x450010)),f263(x45005,x45003,x45006,x45004,f329(f74(x45001,x45003,x45005,x45007),x45009),f329(f74(x45002,x45004,x45006,x45008),x450010))) % 166.45/166.22 [4506]E(f329(f263(x45061,x45062,x45063,x45064,x45065,x45066),f329(f263(x45067,x45061,x45068,x45063,x45069,x450610),x450611)),f329(f263(x45067,x45062,x45068,x45064,f329(f74(x45061,x45062,x45067,x45065),x45069),f329(f74(x45063,x45064,x45068,x45066),x450610)),x450611)) % 166.45/166.22 [4665]~P3(x46651)+P3(f909(x46651)) % 166.45/166.22 [4666]~P69(x46661)+P69(f909(x46661)) % 166.45/166.22 [4667]~P110(x46671)+P110(f906(x46671)) % 166.45/166.22 [4670]~P141(x46701)+~E(f80(x46701),f2(x46701)) % 166.45/166.22 [4672]~E(x46721,f2(a104))+E(f329(a22,x46721),f2(a1)) % 166.45/166.22 [4673]~E(x46731,f2(a1))+E(f84(a1,x46731),f2(a1)) % 166.45/166.22 [4679]~P147(x46791)+P29(x46791,f2(x46791)) % 166.45/166.22 [4681]~P105(x46811)+P12(x46811,f118(x46811)) % 166.45/166.22 [4690]P1(x46901)+P1(f329(a324,x46901)) % 166.45/166.22 [4744]~P147(x47441)+~P29(x47441,f80(x47441)) % 166.45/166.22 [4786]~P1(x47861)+~P1(f329(a324,x47861)) % 166.45/166.22 [4807]E(f329(a109,x48071),f2(a905))+~P1(f329(a196,x48071)) % 166.45/166.22 [4873]~P106(x48731)+P13(x48731,x48731,f115(x48731)) % 166.45/166.22 [4874]~P107(x48741)+P13(x48741,x48741,f106(x48741)) % 166.45/166.22 [4875]~P100(x48751)+P13(x48751,x48751,f83(x48751)) % 166.45/166.22 [4876]~P105(x48761)+P13(x48761,x48761,f237(x48761)) % 166.45/166.22 [4877]~P105(x48771)+P13(x48771,x48771,f238(x48771)) % 166.45/166.22 [4878]~P78(x48781)+P15(x48781,x48781,f83(x48781)) % 166.45/166.22 [4676]~E(x46761,f2(a905))+E(f329(f105(a1),x46761),f2(a1)) % 166.45/166.22 [4683]~P97(x46831)+E(f329(f108(x46831),a85),f2(x46831)) % 166.45/166.22 [4686]~E(f565(x46861),f2(a905))+E(f329(f168(a905),x46861),f2(a905)) % 166.45/166.22 [4687]~P113(x46871)+E(f241(x46871,f239(x46871)),f237(x46871)) % 166.45/166.22 [4688]~P113(x46881)+E(f242(x46881,f239(x46881)),f238(x46881)) % 166.45/166.22 [4689]~P94(x46891)+E(f84(x46891,f2(x46891)),f2(x46891)) % 166.45/166.22 [4698]~P147(x46981)+E(f329(f105(x46981),f2(a905)),f2(x46981)) % 166.45/166.22 [4699]~P147(x46991)+E(f329(f105(x46991),f80(a905)),f80(x46991)) % 166.45/166.22 [4700]~P142(x47001)+E(f329(f107(x47001),f2(a1)),f2(x47001)) % 166.45/166.22 [4701]~P142(x47011)+E(f329(f107(x47011),f80(a1)),f80(x47011)) % 166.45/166.22 [4702]E(x47021,f2(a905))+~E(f329(f105(a1),x47021),f2(a1)) % 166.45/166.22 [4738]~P89(x47381)+E(f329(f77(x47381),f2(x47381)),f2(x47381)) % 166.45/166.22 [4739]~P117(x47391)+E(f329(f77(x47391),f80(x47391)),f80(x47391)) % 166.45/166.22 [4740]~P99(x47401)+E(f329(f81(x47401),f191(x47401)),f247(x47401)) % 166.45/166.22 [4741]~P67(x47411)+E(f329(f81(x47411),f2(x47411)),f2(x47411)) % 166.45/166.22 [4742]~P99(x47421)+E(f329(f81(x47421),f247(x47421)),f191(x47421)) % 166.45/166.22 [4743]~P84(x47431)+E(f329(f168(x47431),f118(x47431)),f2(x47431)) % 166.45/166.22 [4762]~P36(x47621)+P41(f329(f175(a1),x47621)) % 166.45/166.22 [4791]~P97(x47911)+E(f329(f81(x47911),f80(x47911)),f329(f108(x47911),a102)) % 166.45/166.22 [4806]~P97(x48061)+P29(x48061,f329(f108(x48061),a85)) % 166.45/166.22 [4832]P36(x48321)+~P41(f329(f175(a1),x48321)) % 166.45/166.22 [4879]E(f329(f105(a1),f329(a109,x48791)),x48791)+P1(f329(a196,x48791)) % 166.45/166.22 [4949]~P121(x49491)+E(f250(x49491,f80(x49491),f83(x49491)),f249(x49491)) % 166.45/166.22 [4982]~P97(x49821)+~P29(x49821,f329(f108(x49821),a102)) % 166.45/166.22 [5130]E(f329(f77(a1),x51301),x51301)+P1(f329(f329(f240(a1),x51301),f2(a1))) % 166.45/166.22 [5148]~E(f329(a109,x51481),f2(a905))+P1(f329(f329(f239(a1),x51481),f2(a1))) % 166.45/166.22 [5216]~P1(f329(a196,x52161))+P1(f329(f329(f240(a1),x52161),f2(a1))) % 166.45/166.22 [5258]~P127(x52581)+P1(f329(f329(f239(x52581),f2(x52581)),f80(x52581))) % 166.45/166.22 [5259]~P142(x52591)+P1(f329(f329(f331(x52591),f2(x52591)),f114(x52591))) % 166.45/166.22 [5260]~P147(x52601)+P1(f329(f329(f331(x52601),f2(x52601)),f189(x52601))) % 166.45/166.22 [5261]~P142(x52611)+P1(f329(f329(f331(x52611),f80(x52611)),f114(x52611))) % 166.45/166.22 [5262]~P147(x52621)+P1(f329(f329(f331(x52621),f80(x52621)),f189(x52621))) % 166.45/166.22 [5263]~P127(x52631)+P1(f329(f329(f240(x52631),f2(x52631)),f80(x52631))) % 166.45/166.22 [5316]E(x53161,f2(a905))+~P1(f329(f329(f239(a905),x53161),f2(a905))) % 166.45/166.22 [5358]E(f329(a109,x53581),f2(a905))+~P1(f329(f329(f239(a1),x53581),f2(a1))) % 166.45/166.22 [5420]P1(f329(a196,x54201))+~P1(f329(f329(f240(a1),x54201),f2(a1))) % 166.45/166.22 [5427]~P105(x54271)+P15(x54271,f906(x54271),f151(x54271,x54271,f5(x54271))) % 166.45/166.22 [5445]P41(x54451)+~P1(f329(f329(f239(a1),f2(a1)),f337(x54451))) % 166.45/166.22 [5450]E(f329(f77(a1),x54501),f329(f81(a1),x54501))+~P1(f329(f329(f240(a1),x54501),f2(a1))) % 166.45/166.22 [5618]~P127(x56181)+~P1(f329(f329(f239(x56181),f80(x56181)),f2(x56181))) % 166.45/166.22 [5619]~P127(x56191)+~P1(f329(f329(f240(x56191),f80(x56191)),f2(x56191))) % 166.45/166.22 [5633]~E(x56331,f2(a905))+P1(f329(f329(f239(a1),f329(f105(a1),x56331)),f2(a1))) % 166.45/166.22 [5634]~E(x56341,f2(a1))+P1(f329(f329(f240(a1),f329(f77(a1),x56341)),f80(a1))) % 166.45/166.22 [5756]~P84(x57561)+E(f145(x57561,x57561,f82(x57561),f2(x57561)),f168(x57561)) % 166.45/166.22 [5931]~P109(x59311)+P24(a905,x59311,f105(x59311),f247(f913(a905,a900))) % 166.45/166.22 [6132]E(x61321,f2(a905))+~P1(f329(f329(f239(a1),f329(f105(a1),x61321)),f2(a1))) % 166.45/166.22 [6133]E(x61331,f2(a1))+~P1(f329(f329(f240(a1),f329(f77(a1),x61331)),f80(a1))) % 166.45/166.22 [6934]~P1(f329(f329(f240(a1),x69341),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x69341),x69341)),f2(a1))) % 166.45/166.22 [7488]P1(f329(f329(f240(a1),x74881),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74881),x74881)),f2(a1))) % 166.45/166.22 [8048]E(x80481,f329(a3,f2(a905)))+P1(f329(f329(f240(a905),f329(f329(f23(a905),f329(a20,x80481)),f329(a117,f2(a905)))),f329(a20,x80481))) % 166.45/166.22 [8826]~P1(f329(f329(f240(a1),x88261),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88261),x88261)),a102)),f2(a1))) % 166.45/166.22 [8915]~P1(f329(f329(f240(a1),x89151),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x89151)),x89151)),f2(a1))) % 166.45/166.22 [9242]P1(f329(f329(f240(a1),x92421),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92421),x92421)),a102)),f2(a1))) % 166.45/166.22 [9311]P1(f329(f329(f240(a1),x93111),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x93111)),x93111)),f2(a1))) % 166.45/166.22 [4780]~E(a85,x47801)+E(f329(f329(f82(a1),x47801),x47801),a85) % 166.45/166.22 [4781]~E(x47811,a85)+E(f329(f329(f82(a1),x47811),x47811),a85) % 166.45/166.22 [4792]E(x47921,f2(a1))+E(f329(f329(f38(a1),x47921),x47921),f80(a1)) % 166.45/166.22 [4926]E(x49261,a85)+~E(f329(f329(f82(a1),x49261),x49261),a85) % 166.45/166.22 [4927]E(a85,x49271)+~E(f329(f329(f82(a1),x49271),x49271),a85) % 166.45/166.22 [4939]~P4(x49391)+E(f40(x49391,f191(f913(x49391,a900))),f247(x49391)) % 166.45/166.22 [4940]~P4(x49401)+E(f40(x49401,f247(f913(x49401,a900))),f191(x49401)) % 166.45/166.22 [4941]~P4(x49411)+E(f39(x49411,f191(f913(x49411,a900))),f191(x49411)) % 166.45/166.22 [4942]~P4(x49421)+E(f39(x49421,f247(f913(x49421,a900))),f247(x49421)) % 166.45/166.22 [4943]~P105(x49431)+E(f142(x49431,f191(f913(x49431,a900))),f118(x49431)) % 166.45/166.22 [5086]E(x50861,f2(a905))+P1(f329(f329(f240(a905),f2(a905)),x50861)) % 166.45/166.22 [5105]~P5(x51051)+P1(f329(f329(f239(a1),f2(a1)),x51051)) % 166.45/166.22 [5139]~E(f329(f108(a905),x51391),f2(a905))+P1(f329(f329(f239(a1),x51391),a85)) % 166.45/166.22 [5144]P41(x51441)+P1(f329(f329(f331(a1),f337(x51441)),x51441)) % 166.45/166.22 [5145]E(x51451,f329(a3,f2(a905)))+P1(f329(f329(f239(a104),f80(a104)),x51451)) % 166.45/166.22 [5187]P1(f329(a196,x51871))+P1(f329(f329(f239(a1),f2(a1)),x51871)) % 166.45/166.22 [5240]E(f329(f105(a1),f329(a109,x52401)),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x52401)) % 166.45/166.22 [5298]E(f329(f105(a1),f329(f108(a905),x52981)),f329(f108(a1),x52981))+P1(f329(a196,f329(f108(a1),x52981))) % 166.45/166.22 [5322]E(f329(f108(a905),x53221),f2(a905))+~P1(f329(a196,f329(f108(a1),x53221))) % 166.45/166.22 [5323]E(f329(f108(a905),x53231),f2(a905))+~P1(f329(f329(f239(a1),x53231),a85)) % 166.45/166.22 [5355]P5(x53551)+~P1(f329(f329(f239(a1),f2(a1)),x53551)) % 166.45/166.22 [5430]E(f329(a117,f698(x54301)),x54301)+~P1(f329(f329(f240(a905),f2(a905)),x54301)) % 166.45/166.22 [5439]E(f329(a117,f329(f108(a905),x54391)),f80(a905))+~P1(f329(a196,f329(f108(a1),x54391))) % 166.45/166.22 [5446]E(f329(f105(a1),f390(x54461)),x54461)+~P1(f329(f329(f240(a1),f2(a1)),x54461)) % 166.45/166.22 [5453]~E(x54531,f329(a3,f2(a905)))+~P1(f329(f329(f239(a104),f80(a104)),x54531)) % 166.45/166.22 [5460]E(f329(f105(a1),f329(f108(a905),x54601)),f2(a1))+~P1(f329(a196,f329(f108(a1),x54601))) % 166.45/166.22 [5485]E(f329(f168(a905),x54851),f2(a905))+P1(f329(f329(f331(a905),f565(x54851)),f329(f175(a905),x54851))) % 166.45/166.22 [5505]E(f329(f105(a1),f329(a109,x55051)),x55051)+~P1(f329(f329(f239(a1),f2(a1)),x55051)) % 166.45/166.22 [5513]~P1(f329(a196,x55131))+~P1(f329(f329(f239(a1),f2(a1)),x55131)) % 166.45/166.22 [5611]E(f329(f329(f82(a905),f80(a905)),f329(f108(a905),x56111)),f80(a905))+~P1(f329(f329(f240(a1),x56111),a85)) % 166.45/166.22 [5675]E(x56751,f2(a905))+~P1(f329(f329(f240(a905),x56751),f329(a117,f2(a905)))) % 166.45/166.22 [5714]E(f329(f329(f23(a905),f329(f108(a905),x57141)),f80(a905)),f2(a905))+~P1(f329(f329(f239(a1),x57141),a85)) % 166.45/166.22 [5715]E(f329(f329(f82(a905),f329(f108(a905),x57151)),f80(a905)),f80(a905))+~P1(f329(f329(f240(a1),x57151),a85)) % 166.45/166.22 [5727]~P41(x57271)+E(f329(f37(a905),f329(f312(a1,a905,a109),x57271)),f329(f37(a1),x57271)) % 166.45/166.22 [5757]~P105(x57571)+E(f242(x57571,f329(f7(x57571,x57571,a900),f239(x57571))),f237(x57571)) % 166.45/166.22 [5758]~P105(x57581)+E(f241(x57581,f329(f7(x57581,x57581,a900),f239(x57581))),f238(x57581)) % 166.45/166.22 [5768]E(f47(a905,f329(a117,f2(a905)),f329(f108(a905),x57681)),f329(a117,f2(a905)))+~P1(f329(a196,f329(f108(a1),x57681))) % 166.45/166.22 [5777]~P1(f329(f329(f240(a1),f2(a1)),x57771))+P1(f329(f329(f239(a1),f80(a1)),x57771)) % 166.45/166.22 [5778]P1(f329(f329(f240(a1),f2(a1)),x57781))+~P1(f329(f329(f239(a1),f80(a1)),x57781)) % 166.45/166.22 [5789]E(f329(a117,f329(f329(f23(a905),x57891),f80(a905))),x57891)+~P1(f329(f329(f240(a905),f2(a905)),x57891)) % 166.45/166.22 [5845]P1(f329(f329(f240(a905),f2(a905)),f390(x58451)))+~P1(f329(f329(f240(a1),f2(a1)),x58451)) % 166.45/166.22 [5904]E(f47(a1,f329(f108(a1),a102),x59041),f329(f329(f23(a1),x59041),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x59041)) % 166.45/166.22 [5944]~P1(f329(f329(f240(a1),a85),x59441))+P1(f329(f329(f240(a905),f2(a905)),f329(f108(a905),x59441))) % 166.45/166.22 [5949]E(f329(a20,f831(x59491)),x59491)+~P1(f329(f329(f331(a905),x59491),f247(f913(a905,a900)))) % 166.45/166.22 [5997]P1(f329(f329(f240(a905),f2(a905)),f329(a109,x59971)))+~P1(f329(f329(f240(a1),f2(a1)),x59971)) % 166.45/166.22 [6046]~P1(f329(f329(f240(a905),f2(a905)),x60461))+P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x60461))) % 166.45/166.22 [6083]~P1(f329(f329(f240(a905),f2(a905)),f329(a109,x60831)))+P1(f329(f329(f240(a1),f2(a1)),x60831)) % 166.45/166.22 [6100]~P41(x61001)+E(f329(f312(a905,a1,f105(a1)),f329(f312(a1,a905,a109),x61001)),x61001) % 166.45/166.22 [6113]P1(f329(f329(f240(a1),a85),x61131))+~P1(f329(f329(f240(a905),f2(a905)),f329(f108(a905),x61131))) % 166.45/166.22 [6171]P1(f329(f329(f240(a905),f2(a905)),x61711))+~P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x61711))) % 166.45/166.22 [6284]E(f329(f312(a905,a1,f105(a1)),f329(f285(a905),f329(a109,x62841))),f329(f304(a1,f2(a1)),x62841))+~P1(f329(f329(f239(a1),f2(a1)),x62841)) % 166.45/166.22 [6301]~P127(x63011)+P1(f329(f329(f240(x63011),f2(x63011)),f329(f329(f82(x63011),f80(x63011)),f80(x63011)))) % 166.45/166.22 [6350]P1(f329(f329(f240(a905),f329(a117,f2(a905))),f329(a109,x63501)))+~P1(f329(f329(f240(a1),f80(a1)),x63501)) % 166.45/166.22 [6447]E(x64471,f2(a1))+P1(f329(f51(f2(a1),x64471),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))) % 166.45/166.22 [6620]~P1(f329(f329(f240(a905),f329(a117,f2(a905))),f329(a109,x66201)))+P1(f329(f329(f240(a1),f80(a1)),x66201)) % 166.45/166.22 [7045]~P114(x70451)+P37(x70451,f329(f267(f912(x70451,x70451)),f329(f262(x70451,x70451,a900),f240(x70451)))) % 166.45/166.22 [5662]E(f329(f108(a905),f329(f329(f23(a1),x56621),a102)),f329(a117,f329(f108(a905),x56621)))+P1(f329(a196,f329(f108(a1),x56621))) % 166.45/166.22 [5678]~P36(x56781)+E(f329(f329(f157(a905,a1),f105(a1)),f329(f329(f157(a1,a905),a109),x56781)),x56781) % 166.45/166.22 [5795]E(f329(f81(a1),f329(f105(a1),f329(a117,f448(x57951)))),x57951)+~P1(f329(f329(f240(a1),x57951),f2(a1))) % 166.45/166.22 [5805]E(f329(f329(f82(a905),f80(a905)),f329(f108(a905),x58051)),f329(f108(a905),f329(f329(f23(a1),x58051),a102)))+P1(f329(f329(f240(a1),x58051),a85)) % 166.45/166.22 [5847]E(f329(f329(f38(a1),f329(f108(a1),a102)),x58471),f329(f108(a1),a102))+~P1(f329(f329(f240(a1),f2(a1)),x58471)) % 166.45/166.22 [5940]E(f329(f329(f23(a905),f329(f108(a905),x59401)),f80(a905)),f329(f108(a905),f329(f329(f82(a1),x59401),a102)))+P1(f329(f329(f239(a1),x59401),a85)) % 166.45/166.22 [5941]E(f329(f329(f82(a905),f329(f108(a905),x59411)),f80(a905)),f329(f108(a905),f329(f329(f23(a1),x59411),a102)))+P1(f329(f329(f240(a1),x59411),a85)) % 166.45/166.22 [5984]E(f329(a109,f329(f329(f82(a1),f80(a1)),x59841)),f329(a117,f329(a109,x59841)))+~P1(f329(f329(f239(a1),f2(a1)),x59841)) % 166.45/166.22 [6018]E(f329(a117,f329(f329(f23(a905),x60181),f329(a117,f2(a905)))),x60181)+~P1(f329(f329(f240(a905),f2(a905)),x60181)) % 166.45/166.22 [6236]E(f47(a905,f329(a117,f2(a905)),f329(f108(a905),x62361)),f329(a109,f47(a1,f80(a1),f329(f108(a1),x62361))))+P1(f329(a196,f329(f108(a1),x62361))) % 166.45/166.22 [6277]~P1(f329(f329(f239(a1),a85),x62771))+P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x62771),x62771))) % 166.45/166.22 [6278]~P1(f329(f329(f240(a1),a102),x62781))+P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x62781),x62781))) % 166.45/166.22 [6279]~P1(f329(f329(f240(a1),a85),x62791))+P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x62791),x62791))) % 166.45/166.22 [6280]~P1(f329(f329(f240(a1),a102),x62801))+P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x62801),x62801))) % 166.45/166.22 [6460]~P1(f329(f63(x64601),f247(f913(x64601,a900))))+P1(f329(f63(f909(x64601)),f247(f913(f909(x64601),a900)))) % 166.45/166.22 [6551]~P1(f329(f329(f239(a1),f2(a1)),x65511))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f80(a1)),x65511))) % 166.45/166.22 [6558]E(f329(f256(a1,a1),f49(f80(a1),f329(f108(a1),x65581))),f329(f329(f38(a1),f80(a1)),f329(f108(a1),x65581)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x65581))) % 166.45/166.22 [6578]E(f329(f261(a1,a1),f49(f80(a1),f329(f108(a1),x65781))),f47(a1,f80(a1),f329(f108(a1),x65781)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x65781))) % 166.45/166.22 [6589]P1(f329(f63(x65891),f247(f913(x65891,a900))))+~P1(f329(f63(f909(x65891)),f247(f913(f909(x65891),a900)))) % 166.45/166.22 [6621]P1(f329(f329(f239(a1),a85),x66211))+~P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x66211),x66211))) % 166.45/166.22 [6622]P1(f329(f329(f240(a1),a85),x66221))+~P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x66221),x66221))) % 166.45/166.22 [6623]P1(f329(f329(f240(a1),a102),x66231))+~P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x66231),x66231))) % 166.45/166.22 [6624]P1(f329(f329(f240(a1),a102),x66241))+~P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x66241),x66241))) % 166.45/166.22 [6938]~P1(f329(f63(x69381),f247(f913(x69381,a900))))+P1(f329(f329(f240(a905),f2(a905)),f329(f37(x69381),f247(f913(x69381,a900))))) % 166.45/166.22 [7530]P1(f329(f63(a905),x75301))+~P1(f329(f63(a1),f329(f312(a905,a1,f105(a1)),x75301))) % 166.45/166.22 [5586]~E(a102,x55861)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55861),x55861)),a102),a102) % 166.45/166.22 [5587]~E(x55871,a102)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55871),x55871)),a102),a102) % 166.45/166.22 [6108]E(x61081,a102)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61081),x61081)),a102),a102) % 166.45/166.22 [6109]E(a102,x61091)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61091),x61091)),a102),a102) % 166.45/166.22 [6518]~E(f329(f108(a905),x65181),f2(a905))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x65181),a102)))) % 166.45/166.22 [6868]~P1(f329(a196,f329(f108(a1),x68681)))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x68681),x68681)))) % 166.45/166.22 [6869]~P1(f329(f329(f239(a1),x68691),a85))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68691),x68691)),a85)) % 166.45/166.22 [6870]~P1(f329(f329(f239(a1),x68701),a102))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68701),x68701)),a102)) % 166.45/166.22 [6871]~P1(f329(f329(f240(a1),x68711),a85))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68711),x68711)),a85)) % 166.45/166.22 [6872]~P1(f329(f329(f239(a1),x68721),a102))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68721),x68721)),a102)) % 166.45/166.22 [7188]E(f329(f108(a905),x71881),f2(a905))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x71881),a102)))) % 166.45/166.22 [7442]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x74421)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),x74421),x74421)))) % 166.45/166.22 [7443]P1(f329(a196,f329(f108(a1),x74431)))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x74431),x74431)))) % 166.45/166.22 [7444]P1(f329(f329(f239(a1),x74441),a85))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74441),x74441)),a85)) % 166.45/166.22 [7445]P1(f329(f329(f239(a1),x74451),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74451),x74451)),a102)) % 166.45/166.22 [7446]P1(f329(f329(f239(a1),x74461),a102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74461),x74461)),a102)) % 166.45/166.22 [7447]P1(f329(f329(f240(a1),x74471),a85))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74471),x74471)),a85)) % 166.45/166.22 [7811]E(f329(a112,f559(x78111)),x78111)+~P1(f329(f329(f331(f913(f912(a905,a905),a900)),x78111),a103)) % 166.45/166.22 [6433]~P97(x64331)+E(f329(f108(x64331),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(x64331)) % 166.45/166.22 [6918]~P1(f329(a196,f329(f108(a1),x69181)))+E(f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x69181),x69181)),a102)),f2(a905)) % 166.45/166.22 [7993]~P1(f329(f329(f240(a1),f329(f108(a1),x79931)),f2(a1)))+E(f329(f256(a1,a1),f329(a53,f52(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x79931))))),f329(f329(f38(a1),f80(a1)),f329(f108(a1),x79931))) % 166.45/166.22 [8006]~P1(f329(f329(f240(a1),f329(f108(a1),x80061)),f2(a1)))+E(f329(f261(a1,a1),f329(a53,f52(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80061))))),f47(a1,f80(a1),f329(f108(a1),x80061))) % 166.45/166.22 [8056]~P1(f329(f329(f239(a1),a85),x80561))+P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80561),x80561)),a102))) % 166.45/166.22 [8057]~P1(f329(f329(f239(a1),a102),x80571))+P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80571),x80571)),a102))) % 166.45/166.22 [8058]~P1(f329(f329(f239(a1),a85),x80581))+P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80581),x80581)),a102))) % 166.45/166.22 [8059]~P1(f329(f329(f240(a1),a102),x80591))+P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80591),x80591)),a102))) % 166.45/166.22 [8365]~P97(x83651)+~P29(x83651,f329(f108(x83651),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.45/166.22 [8549]P1(f329(f329(f239(a1),a85),x85491))+~P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85491),x85491)),a102))) % 166.45/166.22 [8550]P1(f329(f329(f239(a1),a85),x85501))+~P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85501),x85501)),a102))) % 166.45/166.22 [8551]P1(f329(f329(f239(a1),a102),x85511))+~P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85511),x85511)),a102))) % 166.45/166.22 [8552]P1(f329(f329(f240(a1),a102),x85521))+~P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85521),x85521)),a102))) % 166.45/166.22 [8869]E(f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x88691),x88691)),a102)),f329(f329(f88(a905,a905),f329(f108(a905),x88691)),f329(f329(f8(a905,a905,a905),a117),f329(f329(f18(a905,a905,a905),f82(a905)),f5(a905)))))+P1(f329(a196,f329(f108(a1),x88691))) % 166.45/166.22 [9733]E(x97331,f191(f913(f912(a905,a905),a900)))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x97331),f191(f913(f912(a905,a905),a900)))),a35)) % 166.45/166.22 [8800]~P1(f329(a196,f329(f108(a1),x88001)))+P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88001),x88001)),a102)))) % 166.45/166.22 [8801]~P1(f329(f329(f240(a1),x88011),a85))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88011),x88011)),a102)),a85)) % 166.45/166.22 [8802]~P1(f329(f329(f239(a1),x88021),a102))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88021),x88021)),a102)),a102)) % 166.45/166.22 [8803]~P1(f329(f329(f240(a1),x88031),a85))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88031),x88031)),a102)),a85)) % 166.45/166.22 [8804]~P1(f329(f329(f240(a1),x88041),a102))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88041),x88041)),a102)),a102)) % 166.45/166.22 [8908]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x89081)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89081),x89081)),a102)))) % 166.45/166.22 [9069]~P97(x90691)+E(f329(f329(f82(x90691),f80(x90691)),f80(x90691)),f329(f108(x90691),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))) % 166.45/166.22 [9226]P1(f329(a196,f329(f108(a1),x92261)))+~P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92261),x92261)),a102)))) % 166.45/166.22 [9227]P1(f329(f329(f239(a1),x92271),a102))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92271),x92271)),a102)),a102)) % 166.45/166.22 [9228]P1(f329(f329(f240(a1),x92281),a85))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92281),x92281)),a102)),a85)) % 166.45/166.22 [9229]P1(f329(f329(f240(a1),x92291),a85))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92291),x92291)),a102)),a85)) % 166.45/166.22 [9230]P1(f329(f329(f240(a1),x92301),a102))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92301),x92301)),a102)),a102)) % 166.45/166.22 [9778]~P1(f329(f63(f912(a905,a905)),x97781))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f191(f913(f912(a905,a905),a900))),x97781)),a71)) % 166.45/166.22 [9560]~P147(x95601)+E(f329(f329(f249(x95601),f2(x95601)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(x95601)) % 166.45/166.22 [9561]~P147(x95611)+E(f329(f329(f249(x95611),f80(x95611)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95611)) % 166.45/166.22 [10001]~P1(f329(f329(f240(a905),f80(a905)),x100011))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f38(a905),x100011),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.22 [10007]~P1(f329(f329(f240(a905),f2(a905)),x100071))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f38(a905),f329(f329(f82(a905),x100071),f80(a905))),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.22 [10046]~E(f47(a905,x100461,f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(a905))+P1(f329(f329(f240(a905),f2(a905)),f47(a905,x100461,f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.22 [10065]E(f47(a905,x100651,f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(a905))+~P1(f329(f329(f240(a905),f2(a905)),f47(a905,x100651,f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.22 [10355]P23(a899,x103551,f329(f312(a903,f904(a899),f329(f329(f18(a903,f913(a899,f913(a901,a900)),f904(a899)),f329(f329(f18(a903,a902,f913(f913(a899,f913(a901,a900)),f904(a899))),f329(f329(f8(f913(a899,f913(a901,a900)),f913(a902,f913(f913(a899,f913(a901,a900)),f904(a899))),a903),f93(a899)),a916)),f329(f329(f8(f909(a902),a902,a903),f236(a902)),a27))),a917)),a918))+~P1(f329(f329(f239(f913(f904(a899),a900)),f329(f329(f115(f913(f904(a899),a900)),a914),f329(f312(a903,f904(a899),f329(f329(f18(a903,f913(a899,f913(a901,a900)),f904(a899)),f329(f329(f18(a903,a902,f913(f913(a899,f913(a901,a900)),f904(a899))),f329(f329(f8(f913(a899,f913(a901,a900)),f913(a902,f913(f913(a899,f913(a901,a900)),f904(a899))),a903),f93(a899)),a916)),a26)),a917)),a918))),x103551)) % 166.45/166.22 [4707]~P6(x47071,x47072)+P50(x47071,x47072) % 166.45/166.22 [4708]~P37(x47081,x47082)+P60(x47081,x47082) % 166.45/166.22 [4709]~P45(x47091,x47092)+P60(x47091,x47092) % 166.45/166.22 [4711]~P6(x47111,x47112)+P52(x47111,x47112) % 166.45/166.22 [4713]~P14(x47131,x47132)+P52(x47131,x47132) % 166.45/166.22 [4715]~P6(x47151,x47152)+P53(x47151,x47152) % 166.45/166.22 [4717]~P14(x47171,x47172)+P53(x47171,x47172) % 166.45/166.22 [4718]~P6(x47181,x47182)+P14(x47181,x47182) % 166.45/166.22 [4668]~E(x46681,x46682)+E(f274(x46681,x46682),f80(a104)) % 166.45/166.22 [4671]E(f220(x46711,x46712),x46711)+~E(x46712,f2(a905)) % 166.45/166.22 [4678]~E(x46782,f118(x46781))+E(f155(x46781,x46782),f118(x46781)) % 166.45/166.22 [4697]~E(f155(x46972,x46971),f118(x46972))+E(x46971,f118(x46972)) % 166.45/166.22 [4722]~P2(x47222)+P2(f913(x47221,x47222)) % 166.45/166.22 [4723]~P104(x47232)+P104(f913(x47231,x47232)) % 166.45/166.22 [4724]~P112(x47242)+P112(f913(x47241,x47242)) % 166.45/166.22 [4725]~P113(x47252)+P113(f913(x47251,x47252)) % 166.45/166.22 [4726]~P2(x47262)+P106(f913(x47261,x47262)) % 166.45/166.22 [4727]~P108(x47272)+P108(f913(x47271,x47272)) % 166.45/166.22 [4728]~P101(x47282)+P65(f913(x47281,x47282)) % 166.45/166.22 [4729]~P66(x47292)+P66(f913(x47291,x47292)) % 166.45/166.22 [4730]~P4(x47302)+P4(f913(x47301,x47302)) % 166.45/166.22 [4731]~P2(x47312)+P107(f913(x47311,x47312)) % 166.45/166.22 [4732]~P102(x47322)+P102(f913(x47321,x47322)) % 166.45/166.22 [4733]~P115(x47332)+P115(f913(x47331,x47332)) % 166.45/166.22 [4734]~P101(x47342)+P103(f913(x47341,x47342)) % 166.45/166.22 [4735]~P99(x47352)+P99(f913(x47351,x47352)) % 166.45/166.22 [4736]~P93(x47362)+P93(f913(x47361,x47362)) % 166.45/166.22 [4737]~P101(x47372)+P101(f913(x47371,x47372)) % 166.45/166.22 [4749]E(x47491,x47492)+~E(f329(a26,x47491),f329(a26,x47492)) % 166.45/166.22 [4751]E(x47511,x47512)+~E(f329(a117,x47511),f329(a117,x47512)) % 166.45/166.22 [4752]E(x47521,x47522)+~E(f329(a112,x47521),f329(a112,x47522)) % 166.45/166.22 [4753]E(x47531,x47532)+~E(f329(a3,x47531),f329(a3,x47532)) % 166.45/166.22 [4755]E(x47551,x47552)+~E(f329(a20,x47551),f329(a20,x47552)) % 166.45/166.22 [4808]P39(x48081,x48082)+~E(f730(x48082,x48081),f731(x48082,x48081)) % 166.45/166.22 [4838]~P60(x48381,x48382)+P39(x48381,f309(x48381,x48382)) % 166.45/166.22 [4839]~P54(x48391,x48392)+P54(x48391,f309(x48391,x48392)) % 166.45/166.22 [4852]~P63(x48521)+E(f47(x48521,x48522,x48522),f2(x48521)) % 166.45/166.22 [4886]~P37(x48861,x48862)+P37(f906(x48861),f149(x48861,x48862)) % 166.45/166.22 [4887]~P37(x48871,x48872)+P37(f906(x48871),f148(x48871,x48872)) % 166.45/166.22 [4888]~P38(x48881,x48882)+P38(f906(x48881),f150(x48881,x48882)) % 166.45/166.22 [4889]~P38(x48891,x48892)+P38(f906(x48891),f161(x48891,x48892)) % 166.45/166.22 [4890]~P54(x48901,x48902)+P54(f906(x48901),f161(x48901,x48902)) % 166.45/166.22 [4987]~P37(x49871,x49872)+P37(f913(x49871,a900),f320(x49871,x49872)) % 166.45/166.22 [4988]~P37(x49881,x49882)+P37(f913(x49881,a900),f321(x49881,x49882)) % 166.45/166.22 [5114]~P5(x51141)+P41(f305(a1,x51141,x51142)) % 166.45/166.22 [5219]~P37(x52191,x52192)+P62(x52191,f69(x52191,x52191,x52192)) % 166.45/166.22 [5721]~P83(x57211)+P24(x57211,x57211,f81(x57211),x57212) % 166.45/166.22 [4692]~E(x46922,f118(x46921))+E(f329(f170(x46921),x46922),f118(x46921)) % 166.45/166.22 [4693]~E(x46932,f118(x46931))+E(f329(f171(x46931),x46932),f118(x46931)) % 166.45/166.22 [4757]E(x47571,f329(a109,x47572))+~E(f329(f105(a1),x47571),x47572) % 166.45/166.22 [4760]E(x47601,f118(x47602))+~E(f329(f170(x47602),x47601),f118(x47602)) % 166.45/166.22 [4761]E(x47611,f118(x47612))+~E(f329(f171(x47612),x47611),f118(x47612)) % 166.45/166.22 [4777]~P97(x47771)+E(f329(f108(x47771),x47772),f329(f107(x47771),x47772)) % 166.45/166.22 [4785]~P69(x47851)+P1(f329(f63(x47851),x47852)) % 166.45/166.22 [4793]~E(f691(x47932,x47931),f118(x47931))+E(f182(x47931,x47932),f118(f906(x47931))) % 166.45/166.22 [4802]~E(x48022,f118(x48021))+E(f329(f175(x48021),x48022),f191(f913(x48021,a900))) % 166.45/166.22 [4803]~E(x48032,f118(x48031))+E(f191(f913(x48031,a900)),f329(f175(x48031),x48032)) % 166.45/166.22 [4805]E(x48051,x48052)+~E(f329(f105(a1),x48051),f329(f105(a1),x48052)) % 166.45/166.22 [4809]E(f218(x48091,x48092),f2(a905))+P1(f329(f63(x48091),x48092)) % 166.45/166.22 [4827]~P117(x48271)+E(f84(x48271,f84(x48271,x48272)),f84(x48271,x48272)) % 166.45/166.22 [4841]~P118(x48411)+E(f329(f329(f249(x48411),x48412),f80(a905)),x48412) % 166.45/166.22 [4842]~P86(x48421)+E(f329(f329(f249(x48421),x48422),f80(a905)),x48422) % 166.45/166.22 [4843]~P54(x48431,x48432)+E(f329(f289(x48431,x48431),x48432),x48432) % 166.45/166.22 [4847]E(x48471,x48472)+E(f274(x48471,x48472),f329(f329(f82(a104),x48472),f80(a104))) % 166.45/166.22 [4850]E(f329(f37(x48501),x48502),f2(a905))+P1(f329(f63(x48501),x48502)) % 166.45/166.22 [4853]~E(f155(x48531,x48532),x48532)+P1(f329(f140(x48531),x48532)) % 166.45/166.22 [4856]~P65(x48561)+E(f329(f329(f115(x48561),x48562),f191(x48561)),x48562) % 166.45/166.22 [4857]~P67(x48571)+E(f329(f329(f23(x48571),x48572),f2(x48571)),x48572) % 166.45/166.22 [4858]~P103(x48581)+E(f329(f329(f106(x48581),x48582),f247(x48581)),x48582) % 166.45/166.22 [4859]~P74(x48591)+E(f329(f329(f82(x48591),x48592),f2(x48591)),x48592) % 166.45/166.22 [4860]~P84(x48601)+E(f329(f329(f82(x48601),x48602),f2(x48601)),x48602) % 166.45/166.22 [4861]~P118(x48611)+E(f329(f329(f82(x48611),x48612),f2(x48611)),x48612) % 166.45/166.22 [4862]~P118(x48621)+E(f329(f329(f83(x48621),x48622),f80(x48621)),x48622) % 166.45/166.22 [4863]~P80(x48631)+E(f329(f329(f83(x48631),x48632),f80(x48631)),x48632) % 166.45/166.22 [4864]~P86(x48641)+E(f329(f329(f83(x48641),x48642),f80(x48641)),x48642) % 166.45/166.22 [4865]~P124(x48651)+E(f329(f329(f292(x48651),x48652),f80(x48651)),x48652) % 166.45/166.22 [4866]~P63(x48661)+E(f329(f329(f38(x48661),x48662),f80(x48661)),x48662) % 166.45/166.22 [4867]~P118(x48671)+E(f329(f329(f249(x48671),x48672),f2(a905)),f80(x48671)) % 166.45/166.22 [4868]~P121(x48681)+E(f329(f329(f249(x48681),x48682),f2(a905)),f80(x48681)) % 166.45/166.22 [4869]~E(x48692,f191(f913(x48691,a900)))+E(f329(f37(x48691),x48692),f2(a905)) % 166.45/166.22 [4880]~P63(x48801)+E(f47(x48801,x48802,f2(x48801)),x48802) % 166.45/166.22 [4891]~P103(x48911)+E(f329(f329(f115(x48911),x48912),f247(x48911)),f247(x48911)) % 166.45/166.22 [4892]~P65(x48921)+E(f329(f329(f106(x48921),x48922),f191(x48921)),f191(x48921)) % 166.45/166.22 [4893]~P118(x48931)+E(f329(f329(f83(x48931),x48932),f2(x48931)),f2(x48931)) % 166.45/166.22 [4894]~P131(x48941)+E(f329(f329(f83(x48941),x48942),f2(x48941)),f2(x48941)) % 166.45/166.22 [4895]~P125(x48951)+E(f329(f329(f292(x48951),x48952),f2(x48951)),f2(x48951)) % 166.45/166.22 [4896]~P63(x48961)+E(f329(f329(f38(x48961),x48962),f2(x48961)),f2(x48961)) % 166.45/166.22 [4898]~P63(x48981)+E(f47(x48981,x48982,f80(x48981)),f2(x48981)) % 166.45/166.22 [4899]~P63(x48991)+E(f47(x48991,f2(x48991),x48992),f2(x48991)) % 166.45/166.22 [4928]E(x49281,f2(a905))+E(f57(x49282,x49281,f118(x49282)),f118(f906(x49282))) % 166.45/166.22 [4951]P54(x49511,x49512)+~E(f329(f289(x49511,x49511),x49512),x49512) % 166.45/166.22 [4952]P37(x49521,x49522)+~E(f566(x49522,x49521),f191(f913(x49521,a900))) % 166.45/166.22 [4953]E(x49531,f118(x49532))+~E(f329(f175(x49532),x49531),f191(f913(x49532,a900))) % 166.45/166.22 [4954]E(x49541,f118(x49542))+~E(f191(f913(x49542,a900)),f329(f175(x49542),x49541)) % 166.45/166.22 [4957]~E(x49571,x49572)+P1(f329(f329(a326,x49571),x49572)) % 166.45/166.22 [4967]P1(x49671)+P1(f329(f329(a332,x49671),x49672)) % 166.45/166.22 [4968]E(x49681,f118(x49682))+E(f329(f329(f167(x49682),x49681),f2(a905)),f329(f144(x49682),x49681)) % 166.45/166.22 [4971]E(f155(x49711,x49712),x49712)+~P1(f329(f140(x49711),x49712)) % 166.45/166.22 [4978]~P1(x49782)+P1(f329(f329(a328,x49781),x49782)) % 166.45/166.22 [4979]~P1(x49791)+P1(f329(f329(a328,x49791),x49792)) % 166.45/166.22 [4980]~P1(x49802)+P1(f329(f329(a332,x49801),x49802)) % 166.45/166.22 [4990]~E(f692(x49902,x49901),f697(x49902,x49901))+P1(f329(f140(x49901),x49902)) % 166.45/166.22 [4997]E(f329(f267(x49971),x49972),f191(f913(x49971,a900)))+P1(f329(x49972,f335(x49972))) % 166.45/166.22 [4998]E(f191(f913(x49981,a900)),f329(f267(x49981),x49982))+P1(f329(x49982,f336(x49982))) % 166.45/166.22 [5068]~P117(x50681)+E(f329(f329(f83(x50681),x50682),f84(x50681,x50682)),f329(f77(x50681),x50682)) % 166.45/166.22 [5079]~E(x50791,f2(a1))+E(f48(x50791,x50792),f329(f329(f257(a1,a1),f2(a1)),f2(a1))) % 166.45/166.22 [5110]~P60(x51101,x51102)+P60(x51101,f329(f289(x51101,x51101),x51102)) % 166.45/166.22 [5111]~P38(x51111,x51112)+P38(x51111,f329(f289(x51111,x51111),x51112)) % 166.45/166.22 [5112]~P39(x51121,x51122)+P39(x51121,f329(f289(x51121,x51121),x51122)) % 166.45/166.22 [5113]~P54(x51131,x51132)+P54(x51131,f329(f289(x51131,x51131),x51132)) % 166.45/166.22 [5135]E(x51351,x51352)+~P1(f329(f329(a326,x51351),x51352)) % 166.45/166.22 [5146]P1(x51461)+~P1(f329(f329(a327,x51462),x51461)) % 166.45/166.22 [5147]P1(x51471)+~P1(f329(f329(a327,x51471),x51472)) % 166.45/166.22 [5152]~P115(x51521)+P1(f329(f329(f239(x51521),x51522),f247(x51521))) % 166.45/166.22 [5156]E(x51561,x51562)+~E(f329(x51561,f408(x51562,x51561)),f329(x51562,f408(x51562,x51561))) % 166.45/166.22 [5189]E(x51891,f2(a905))+E(f220(x51891,f47(a905,x51892,x51891)),f220(x51892,x51891)) % 166.45/166.22 [5194]~P105(x51941)+P12(x51941,f329(f329(f154(x51941),x51942),f118(x51941))) % 166.45/166.22 [5198]E(x51981,f2(a1))+P1(f329(f51(x51982,x51981),f48(x51982,x51981))) % 166.45/166.22 [5214]~P14(x52142,x52141)+P1(f329(f329(x52141,f824(x52141)),f824(x52141))) % 166.45/166.22 [5217]~E(x52171,x52172)+P1(f329(f329(f240(a905),x52171),f329(a117,x52172))) % 166.45/166.22 [5227]~E(x52271,f2(a905))+P1(f329(f329(f240(a905),x52271),f329(a117,x52272))) % 166.45/166.22 [5239]P1(f329(x52391,x52392))+P1(f329(f329(f239(a1),f2(a1)),f386(x52391))) % 166.45/166.22 [5303]P60(x53031,x53032)+~P60(x53031,f329(f289(x53031,x53031),x53032)) % 166.45/166.22 [5304]P38(x53041,x53042)+~P38(x53041,f329(f289(x53041,x53041),x53042)) % 166.45/166.22 [5305]P39(x53051,x53052)+~P39(x53051,f329(f289(x53051,x53051),x53052)) % 166.45/166.22 [5306]P54(x53061,x53062)+~P54(x53061,f329(f289(x53061,x53061),x53062)) % 166.45/166.22 [5309]~E(f47(a905,x53092,x53091),f2(a905))+E(f329(f329(f83(a905),x53091),f446(x53091,x53092)),x53092) % 166.45/166.22 [5310]~E(f47(a1,x53102,x53101),f2(a1))+E(f329(f329(f83(a1),x53101),f447(x53101,x53102)),x53102) % 166.45/166.22 [5336]~P1(f329(x53361,x53362))+P1(f329(f329(f239(a1),f2(a1)),f338(x53361))) % 166.45/166.22 [5347]E(f329(f329(f23(a905),f329(a109,x53471)),f329(a109,x53472)),f329(a109,x53471))+~P1(f329(a196,x53472)) % 166.45/166.22 [5376]E(f275(x53761,x53762),f80(a104))+~P1(f329(f329(f239(a104),x53761),f80(a104))) % 166.45/166.22 [5471]E(f329(f329(f167(x54711),x54712),f692(x54712,x54711)),f329(f329(f167(x54711),x54712),f697(x54712,x54711)))+P1(f329(f140(x54711),x54712)) % 166.45/166.22 [5514]~P1(f329(x55141,f92(x55142,x55141)))+P1(f329(x55141,f567(x55142,x55141))) % 166.45/166.22 [5576]P62(x55761,x55762)+~P1(f329(f317(x55761,x55762),f545(x55762,x55761))) % 166.45/166.22 [5718]~P14(x57182,x57181)+P1(f329(f329(x57181,f825(x57181,x57182)),f825(x57181,x57182))) % 166.45/166.22 [5719]~P14(x57192,x57191)+P1(f329(f329(x57191,f828(x57191,x57192)),f828(x57191,x57192))) % 166.45/166.22 [5728]~E(f329(a117,f47(a905,x57281,x57282)),x57282)+E(f47(a905,f329(a117,x57281),x57282),f2(a905)) % 166.45/166.22 [5784]P37(x57841,x57842)+P1(f329(f329(f331(x57841),f610(x57842,x57841)),f611(x57842,x57841))) % 166.45/166.22 [5791]~P142(x57911)+P1(f329(f329(f331(x57911),f329(f105(x57911),x57912)),f114(x57911))) % 166.45/166.22 [5792]~P147(x57921)+P1(f329(f329(f331(x57921),f329(f105(x57921),x57922)),f189(x57921))) % 166.45/166.22 [5793]~P142(x57931)+P1(f329(f329(f331(x57931),f329(f107(x57931),x57932)),f114(x57931))) % 166.45/166.22 [5794]~P97(x57941)+P1(f329(f329(f331(x57941),f329(f108(x57941),x57942)),f114(x57941))) % 166.45/166.22 [5926]~P38(x59261,x59262)+E(f329(f329(f291(x59261,x59261,x59261),x59262),f309(x59261,x59262)),x59262) % 166.45/166.22 [5943]E(f329(a117,f47(a905,x59431,x59432)),x59432)+E(f47(a905,f329(a117,x59431),x59432),f329(a117,f47(a905,x59431,x59432))) % 166.45/166.22 [6362]P37(x63621,x63622)+~P1(f329(f329(f331(x63621),f527(x63622,x63621)),f318(x63621,x63622))) % 166.45/166.22 [6399]~P127(x63991)+~P1(f329(f329(f240(x63991),f329(f105(x63991),x63992)),f2(x63991))) % 166.45/166.22 [6400]~P89(x64001)+~P1(f329(f329(f240(x64001),f329(f77(x64001),x64002)),f2(x64001))) % 166.45/166.22 [6490]P1(f329(f329(f240(a1),x64901),f47(a1,x64902,x64901)))+~P1(f329(f329(f240(a1),x64901),f2(a1))) % 166.45/166.22 [6591]E(f329(f329(f311(a905),f329(a117,x65911)),f305(a905,x65912,x65911)),f305(a905,x65912,f329(a117,x65911)))+~P1(f329(f329(f239(a905),x65912),f329(a117,x65911))) % 166.45/166.22 [6683]~P105(x66831)+P12(x66831,f153(x66831,x66831,f5(x66831),x66832)) % 166.45/166.22 [6813]E(f329(f170(x68131),x68132),x68132)+~P1(f329(f329(f239(a905),f329(f192(f906(x68131)),x68132)),f80(a905))) % 166.45/166.22 [6832]~P89(x68321)+P1(f329(f329(f239(x68321),f329(f81(x68321),f329(f77(x68321),x68322))),f2(x68321))) % 166.45/166.22 [6864]~P37(x68641,x68642)+P37(x68641,f329(f329(f291(x68641,x68641,x68641),x68642),f309(x68641,x68642))) % 166.45/166.22 [6865]~P54(x68651,x68652)+P54(x68651,f329(f329(f291(x68651,x68651,x68651),x68652),f309(x68651,x68652))) % 166.45/166.22 [7084]~P1(f329(f329(f240(a1),x70842),f2(a1)))+P1(f329(f329(f239(a1),f47(a1,x70841,x70842)),f2(a1))) % 166.45/166.22 [7485]~P147(x74851)+E(f193(x74851,f329(f329(f7(x74851,x74851,x74851),f82(x74851)),f80(x74851)),x74852,f2(x74851)),f329(f105(x74851),x74852)) % 166.45/166.22 [7516]~P128(x75161)+~P1(f329(f329(f240(x75161),f329(f329(f83(x75161),x75162),x75162)),f2(x75161))) % 166.45/166.22 [10152]~P117(x101521)+~P1(f329(f329(f240(x101521),f329(f329(f249(x101521),x101522),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101521))) % 166.45/166.22 [4758]~E(x47582,f118(x47581))+E(f329(f192(f906(x47581)),x47582),f2(a905)) % 166.45/166.22 [4794]~E(x47941,f2(a905))+E(f329(f329(f82(a905),x47941),x47942),x47942) % 166.45/166.22 [4795]~E(x47952,f2(a905))+E(f329(f329(f83(a905),x47951),x47952),f2(a905)) % 166.45/166.22 [4797]~E(x47971,f2(a905))+E(f329(f329(f83(a905),x47971),x47972),f2(a905)) % 166.45/166.22 [4798]~E(x47982,f2(a905))+E(f329(f329(f249(a905),x47981),x47982),f80(a905)) % 166.45/166.22 [4799]~E(x47992,f2(a1))+E(f329(f329(f38(a1),x47991),x47992),f2(a1)) % 166.45/166.22 [4810]E(x48101,f118(x48102))+~E(f329(f192(f906(x48102)),x48101),f2(a905)) % 166.45/166.22 [4811]~P2(x48111)+E(f329(f329(f115(x48111),x48112),x48112),x48112) % 166.45/166.22 [4813]~P106(x48131)+E(f329(f329(f115(x48131),x48132),x48132),x48132) % 166.45/166.22 [4814]~P2(x48141)+E(f329(f329(f106(x48141),x48142),x48142),x48142) % 166.45/166.22 [4816]~P107(x48161)+E(f329(f329(f106(x48161),x48162),x48162),x48162) % 166.45/166.22 [4818]~P100(x48181)+E(f329(f329(f83(x48181),x48182),x48182),x48182) % 166.45/166.22 [4820]~P105(x48201)+E(f329(f329(f237(x48201),x48202),x48202),x48202) % 166.45/166.22 [4822]~P105(x48221)+E(f329(f329(f238(x48221),x48222),x48222),x48222) % 166.45/166.22 [4840]~P67(x48401)+E(f329(f329(f23(x48401),x48402),x48402),f2(x48401)) % 166.45/166.22 [4854]~P67(x48541)+E(f329(f81(x48541),f329(f81(x48541),x48542)),x48542) % 166.45/166.22 [4855]~P99(x48551)+E(f329(f81(x48551),f329(f81(x48551),x48552)),x48552) % 166.45/166.22 [4872]~E(x48722,f2(a905))+E(f329(f329(f249(a905),x48721),x48722),f329(a117,f2(a905))) % 166.45/166.22 [4907]~P65(x49071)+E(f329(f329(f115(x49071),f191(x49071)),x49072),x49072) % 166.45/166.22 [4908]~P103(x49081)+E(f329(f329(f106(x49081),f247(x49081)),x49082),x49082) % 166.45/166.22 [4909]~P74(x49091)+E(f329(f329(f82(x49091),f2(x49091)),x49092),x49092) % 166.45/166.22 [4910]~P84(x49101)+E(f329(f329(f82(x49101),f2(x49101)),x49102),x49102) % 166.45/166.22 [4911]~P118(x49111)+E(f329(f329(f82(x49111),f2(x49111)),x49112),x49112) % 166.45/166.22 [4912]~P118(x49121)+E(f329(f329(f83(x49121),f80(x49121)),x49122),x49122) % 166.45/166.22 [4913]~P80(x49131)+E(f329(f329(f83(x49131),f80(x49131)),x49132),x49132) % 166.45/166.22 [4914]~P86(x49141)+E(f329(f329(f83(x49141),f80(x49141)),x49142),x49142) % 166.45/166.22 [4932]~P103(x49321)+E(f329(f329(f115(x49321),f247(x49321)),x49322),f247(x49321)) % 166.45/166.22 [4933]~P65(x49331)+E(f329(f329(f106(x49331),f191(x49331)),x49332),f191(x49331)) % 166.45/166.22 [4934]~P118(x49341)+E(f329(f329(f83(x49341),f2(x49341)),x49342),f2(x49341)) % 166.45/166.22 [4935]~P131(x49351)+E(f329(f329(f83(x49351),f2(x49351)),x49352),f2(x49351)) % 166.45/166.22 [4936]~P86(x49361)+E(f329(f329(f249(x49361),f80(x49361)),x49362),f80(x49361)) % 166.45/166.22 [4937]~P124(x49371)+E(f329(f329(f292(x49371),f2(x49371)),x49372),f2(x49371)) % 166.45/166.22 [4938]~P63(x49381)+E(f329(f329(f38(x49381),f2(x49381)),x49382),f2(x49381)) % 166.45/166.22 [4946]E(x49461,f118(x49462))+E(f147(x49462,f329(f171(x49462),x49461)),f329(f144(x49462),x49461)) % 166.45/166.22 [4947]E(x49471,f118(x49472))+E(f329(f144(x49472),f329(f171(x49472),x49471)),f147(x49472,x49471)) % 166.45/166.22 [4948]E(x49481,f2(a905))+~E(f329(f329(f82(a905),x49482),x49481),x49482) % 166.45/166.22 [4955]~P142(x49551)+E(f329(f107(x49551),f329(f105(a1),x49552)),f329(f105(x49551),x49552)) % 166.45/166.22 [4956]~P97(x49561)+E(f329(f107(x49561),f329(f108(a1),x49562)),f329(f108(x49561),x49562)) % 166.45/166.22 [4963]E(x49631,f2(a905))+~E(f329(f329(f82(a905),x49632),x49631),f2(a905)) % 166.45/166.22 [4964]E(x49641,f2(a905))+~E(f329(f329(f82(a905),x49641),x49642),f2(a905)) % 166.45/166.22 [4965]E(x49651,f80(a905))+~E(f329(f329(f83(a905),x49652),x49651),f80(a905)) % 166.45/166.22 [4966]E(x49661,f80(a905))+~E(f329(f329(f83(a905),x49661),x49662),f80(a905)) % 166.45/166.22 [4983]~P117(x49831)+E(f329(f77(x49831),f329(f105(x49831),x49832)),f329(f105(x49831),x49832)) % 166.45/166.22 [4984]~P89(x49841)+E(f329(f77(x49841),f329(f77(x49841),x49842)),f329(f77(x49841),x49842)) % 166.45/166.22 [4985]~P89(x49851)+E(f329(f77(x49851),f329(f81(x49851),x49852)),f329(f77(x49851),x49852)) % 166.45/166.22 [4986]~P74(x49861)+E(f329(f168(x49861),f329(f171(x49861),x49862)),f329(f168(x49861),x49862)) % 166.45/166.22 [4991]~E(x49911,f329(a117,f2(a905)))+E(f329(f329(f249(a905),x49911),x49912),f329(a117,f2(a905))) % 166.45/166.22 [5000]~P67(x50001)+E(f329(f329(f23(x50001),f2(x50001)),x50002),f329(f81(x50001),x50002)) % 166.45/166.22 [5001]~E(x50012,f2(a905))+E(f142(a905,f329(f304(a905,x50011),x50012)),f118(a905)) % 166.45/166.22 [5010]~P97(x50101)+E(f329(f329(f82(x50101),x50102),f329(f108(x50101),a85)),x50102) % 166.45/166.22 [5011]E(x50111,f2(a1))+E(f49(f329(f77(a1),x50112),f329(f77(a1),x50111)),f55(x50112,x50111)) % 166.45/166.22 [5027]~E(x50271,x50272)+P1(f329(f329(f239(a905),x50271),x50272)) % 166.45/166.22 [5034]~E(x50341,f2(a104))+E(f329(f329(f82(a905),f329(a20,x50341)),x50342),x50342) % 166.45/166.22 [5035]~E(f329(f108(a1),x50352),f329(f105(a1),x50351))+E(x50351,f329(a109,f329(f108(a1),x50352))) % 166.45/166.22 [5036]~P4(x50361)+E(f100(x50361,f329(f16(x50361,x50361),x50362)),x50362) % 166.45/166.22 [5049]~P5(x50491)+P5(f329(f329(f249(a1),x50491),x50492)) % 166.45/166.22 [5050]~P99(x50501)+E(f329(f329(f115(x50501),x50502),f329(f81(x50501),x50502)),f247(x50501)) % 166.45/166.22 [5051]~P99(x50511)+E(f329(f329(f106(x50511),x50512),f329(f81(x50511),x50512)),f191(x50511)) % 166.45/166.22 [5052]~P67(x50521)+E(f329(f329(f82(x50521),x50522),f329(f81(x50521),x50522)),f2(x50521)) % 166.45/166.22 [5076]E(x50761,f2(a905))+~E(f329(f81(a1),f329(f105(a1),x50762)),f329(f105(a1),x50761)) % 166.45/166.22 [5077]E(x50771,f2(a905))+~E(f329(f81(a1),f329(f105(a1),x50771)),f329(f105(a1),x50772)) % 166.45/166.22 [5087]E(f198(x50871,x50872),f2(a1))+P1(f329(f329(f239(a1),x50872),x50871)) % 166.45/166.22 [5088]E(f181(x50881,x50882),f118(a1))+P1(f329(f329(f239(a1),x50881),x50882)) % 166.45/166.22 [5089]E(f246(x50891,x50892),f2(a104))+P1(f329(f329(f240(a104),x50891),x50892)) % 166.45/166.22 [5102]E(x51021,f329(a117,f2(a905)))+~E(f329(f329(f83(a905),x51022),x51021),f329(a117,f2(a905))) % 166.45/166.22 [5103]E(x51031,f329(a117,f2(a905)))+~E(f329(f329(f83(a905),x51031),x51032),f329(a117,f2(a905))) % 166.45/166.22 [5104]~P104(x51041)+P1(f329(f329(f239(x51041),x51042),x51042)) % 166.45/166.22 [5107]~P97(x51071)+E(f329(f329(f83(x51071),x51072),f329(f108(x51071),a102)),f329(f81(x51071),x51072)) % 166.45/166.22 [5127]~P142(x51271)+E(f329(f81(x51271),f329(f107(x51271),x51272)),f329(f107(x51271),f329(f81(a1),x51272))) % 166.45/166.22 [5128]~P97(x51281)+E(f329(f81(x51281),f329(f108(x51281),x51282)),f329(f108(x51281),f329(f81(a1),x51282))) % 166.45/166.22 [5157]~E(x51571,f329(a117,x51572))+P1(f329(f329(f240(a905),f2(a905)),x51571)) % 166.45/166.22 [5175]~P105(x51751)+E(f329(f81(f913(x51751,a900)),f329(f285(x51751),x51752)),f329(f286(x51751),x51752)) % 166.45/166.22 [5176]~P105(x51761)+E(f329(f81(f913(x51761,a900)),f329(f303(x51761),x51762)),f329(f306(x51761),x51762)) % 166.45/166.22 [5177]~P105(x51771)+E(f329(f81(f913(x51771,a900)),f329(f286(x51771),x51772)),f329(f285(x51771),x51772)) % 166.45/166.22 [5178]~P105(x51781)+E(f329(f81(f913(x51781,a900)),f329(f306(x51781),x51782)),f329(f303(x51781),x51782)) % 166.45/166.22 [5188]~E(f329(f105(a1),x51882),x51881)+P1(f329(f329(f239(a1),f2(a1)),x51881)) % 166.45/166.22 [5197]~E(x51972,f2(a1))+E(f55(x51971,x51972),f329(f329(f257(a1,a1),f2(a1)),f329(f77(a1),x51971))) % 166.45/166.22 [5199]~P108(x51991)+P1(f329(f329(f239(x51991),f191(x51991)),x51992)) % 166.45/166.22 [5232]E(x52321,x52322)+~E(f329(f329(f82(a1),x52321),x52321),f329(f329(f82(a1),x52322),x52322)) % 166.45/166.22 [5238]~P1(f329(x52381,x52382))+P1(f329(x52381,f329(a109,f338(x52381)))) % 166.45/166.22 [5264]~P117(x52641)+E(f329(f329(f83(x52641),f84(x52641,x52642)),f329(f77(x52641),x52642)),x52642) % 166.45/166.22 [5265]E(x52651,x52652)+~P1(f329(f329(f197(a25),x52651),x52652)) % 166.45/166.22 [5272]~E(x52722,f2(a905))+E(f87(f912(a905,a905),f50(x52721,x52722)),f329(f329(f257(a905,a905),f2(a905)),x52721)) % 166.45/166.22 [5277]~E(x52771,x52772)+~P1(f329(f329(f240(a905),x52771),x52772)) % 166.45/166.22 [5278]~E(x52781,x52782)+~P1(f329(f329(f240(a1),x52781),x52782)) % 166.45/166.22 [5281]~P147(x52811)+E(f329(f329(f82(x52811),f80(x52811)),f329(f105(x52811),x52812)),f329(f105(x52811),f329(a117,x52812))) % 166.45/166.22 [5285]~E(x52851,f2(a905))+~P1(f329(f329(f240(a905),x52852),x52851)) % 166.45/166.22 [5299]E(f155(x52991,x52992),x52992)+~E(f329(f192(f906(x52991)),f155(x52991,x52992)),f329(f192(f906(x52991)),x52992)) % 166.45/166.22 [5300]E(f329(f37(x53001),f329(f175(x53001),x53002)),f329(f192(f906(x53001)),x53002))+~P1(f329(f140(x53001),x53002)) % 166.45/166.22 [5314]~P1(f329(x53141,f339(x53141)))+P1(f329(x53141,f329(f105(a1),x53142))) % 166.45/166.22 [5324]E(f246(x53241,x53242),x53242)+~P1(f329(f329(f240(a104),x53241),x53242)) % 166.45/166.22 [5326]E(f275(x53261,x53262),f80(a104))+~P1(f329(f329(f240(a104),x53262),x53261)) % 166.45/166.22 [5327]E(f181(x53271,x53272),f118(a1))+~P1(f329(f329(f240(a1),x53272),x53271)) % 166.45/166.22 [5328]E(f132(x53281,x53282),f120(a1))+~P1(f329(f329(f240(a1),x53281),x53282)) % 166.45/166.22 [5330]~P112(x53301)+E(f305(x53301,x53302,x53302),f329(f329(f311(x53301),x53302),f191(f913(x53301,a900)))) % 166.45/166.22 [5350]~E(f329(f329(f23(a905),x53501),x53502),f2(a905))+P1(f329(f329(f239(a905),x53501),x53502)) % 166.45/166.22 [5373]~E(x53732,f2(a905))+E(f57(x53731,x53732,f118(x53731)),f329(f329(f154(f906(x53731)),f118(x53731)),f118(f906(x53731)))) % 166.45/166.22 [5377]~P104(x53771)+~P1(f329(f329(f240(x53771),x53772),x53772)) % 166.45/166.22 [5379]~E(f47(a1,x53791,x53792),f2(a1))+E(f47(a1,x53791,f329(f81(a1),x53792)),f2(a1)) % 166.45/166.22 [5381]~E(f47(a1,x53811,x53812),f2(a1))+E(f47(a1,f329(f81(a1),x53811),x53812),f2(a1)) % 166.45/166.22 [5389]E(f329(f304(a905,x53891),f329(a117,x53892)),f191(f913(a905,a900)))+P1(f329(f329(f239(a905),x53891),x53892)) % 166.45/166.22 [5412]E(f142(a905,f329(f304(a905,x54121),x54122)),f118(a905))+P1(f329(f329(f240(a905),x54121),x54122)) % 166.45/166.22 [5417]~E(f329(f37(x54171),f329(f175(x54171),x54172)),f329(f192(f906(x54171)),x54172))+P1(f329(f140(x54171),x54172)) % 166.45/166.22 [5421]~P1(f329(f140(x54211),x54212))+P1(f329(f140(x54211),f329(f170(x54211),x54212))) % 166.45/166.22 [5422]~P1(f329(f140(x54221),x54222))+P1(f329(f140(x54221),f329(f174(x54221),x54222))) % 166.45/166.22 [5423]~P1(f329(f140(x54231),x54232))+P1(f329(f140(x54231),f329(f171(x54231),x54232))) % 166.45/166.22 [5431]P1(f329(x54311,x54312))+~P1(f329(x54311,f329(a109,f386(x54311)))) % 166.45/166.22 [5432]P1(f329(f329(f239(a905),x54322),x54321))+P1(f329(f329(f239(a905),x54321),x54322)) % 166.45/166.22 [5433]P1(f329(f329(f239(a1),x54332),x54331))+P1(f329(f329(f239(a1),x54331),x54332)) % 166.45/166.22 [5437]~P89(x54371)+P1(f329(f329(f239(x54371),x54372),f329(f77(x54371),x54372))) % 166.45/166.22 [5440]P1(f329(x54401,f340(x54401)))+~P1(f329(x54401,f329(f105(a1),x54402))) % 166.45/166.22 [5464]E(f329(f329(f23(a905),x54641),x54642),f2(a905))+~P1(f329(f329(f239(a905),x54641),x54642)) % 166.45/166.22 [5465]E(f329(f329(f38(a905),x54651),x54652),f2(a905))+~P1(f329(f329(f240(a905),x54651),x54652)) % 166.45/166.22 [5483]E(f47(a905,x54831,x54832),x54831)+~P1(f329(f329(f240(a905),x54831),x54832)) % 166.45/166.22 [5491]E(f47(a1,x54911,f329(f81(a1),x54912)),f293(x54911,x54912))+P1(f329(f329(f239(a1),f2(a1)),x54912)) % 166.45/166.22 [5503]E(f329(f329(f23(a1),x55031),x55032),f198(x55031,x55032))+~P1(f329(f329(f239(a1),x55032),x55031)) % 166.45/166.22 [5521]P1(f329(f329(f239(a1),f2(a1)),f339(x55211)))+P1(f329(x55211,f329(f105(a1),x55212))) % 166.45/166.22 [5534]~P127(x55341)+P1(f329(f329(f239(x55341),f2(x55341)),f329(f105(x55341),x55342))) % 166.45/166.22 [5535]~P89(x55351)+P1(f329(f329(f239(x55351),f2(x55351)),f329(f77(x55351),x55352))) % 166.45/166.22 [5562]E(f329(f329(f82(a905),x55621),f841(x55622,x55621)),x55622)+~P1(f329(f329(f239(a905),x55621),x55622)) % 166.45/166.22 [5574]~E(f329(f108(a1),x55741),f329(f105(a1),x55742))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x55741))) % 166.45/166.22 [5577]E(f305(a1,x55771,x55772),f191(f913(a1,a900)))+~P1(f329(f329(f240(a1),x55772),x55771)) % 166.45/166.22 [5579]~P117(x55791)+E(f329(f329(f83(x55791),f329(f77(x55791),x55792)),f329(f77(x55791),x55792)),f329(f329(f83(x55791),x55792),x55792)) % 166.45/166.22 [5585]E(f142(a905,f329(f304(a905,x55851),f329(a117,x55852))),f118(a905))+P1(f329(f329(f239(a905),x55851),x55852)) % 166.45/166.22 [5589]E(f329(f329(f38(a1),x55891),x55892),f294(x55891,x55892))+~P1(f329(f329(f239(a1),f2(a1)),x55892)) % 166.45/166.22 [5609]P1(f329(f140(x56091),x56092))+~P1(f329(f140(x56091),f329(f170(x56091),x56092))) % 166.45/166.22 [5610]P1(f329(f140(x56101),x56102))+~P1(f329(f140(x56101),f329(f171(x56101),x56102))) % 166.45/166.22 [5635]P1(f329(f63(a905),x56351))+P1(f329(f329(f331(a905),f884(x56351,x56352)),x56351)) % 166.45/166.22 [5636]P1(f329(f63(a905),x56361))+P1(f329(f329(f331(a905),f889(x56361,x56362)),x56361)) % 166.45/166.22 [5639]P1(f329(f329(f240(a905),x56392),f329(a117,x56391)))+P1(f329(f329(f240(a905),x56391),x56392)) % 166.45/166.22 [5640]E(f47(a1,x56401,x56402),f293(x56401,x56402))+~P1(f329(f329(f239(a1),f2(a1)),x56402)) % 166.45/166.22 [5643]E(f142(a905,f329(f304(a905,x56431),x56432)),f118(a905))+~P1(f329(f329(f239(a905),x56432),x56431)) % 166.45/166.22 [5644]~P83(x56441)+E(f329(f312(x56441,x56441,f81(x56441)),f329(f285(x56441),x56442)),f329(f306(x56441),f329(f81(x56441),x56442))) % 166.45/166.22 [5645]~P83(x56451)+E(f329(f312(x56451,x56451,f81(x56451)),f329(f303(x56451),x56452)),f329(f286(x56451),f329(f81(x56451),x56452))) % 166.45/166.22 [5646]~P83(x56461)+E(f329(f312(x56461,x56461,f81(x56461)),f329(f286(x56461),x56462)),f329(f303(x56461),f329(f81(x56461),x56462))) % 166.45/166.22 [5647]~P83(x56471)+E(f329(f312(x56471,x56471,f81(x56471)),f329(f306(x56471),x56472)),f329(f285(x56471),f329(f81(x56471),x56472))) % 166.45/166.22 [5658]E(x56581,f191(f913(x56582,a900)))+P1(f329(f329(f331(x56582),f350(x56581,x56582)),x56581)) % 166.45/166.22 [5659]E(x56591,f191(f913(x56592,a900)))+P1(f329(f329(f331(x56592),f352(x56591,x56592)),x56591)) % 166.45/166.22 [5670]~P1(f329(f329(f240(a905),x56701),x56702))+P1(f329(f329(f239(a905),x56701),x56702)) % 166.45/166.22 [5671]~P1(f329(f329(f240(a1),x56711),x56712))+P1(f329(f329(f239(a1),x56711),x56712)) % 166.45/166.22 [5687]E(f49(x56871,x56872),f329(f329(f257(a1,a1),f2(a1)),x56871))+~P1(f329(f329(f240(a1),x56871),x56872)) % 166.45/166.22 [5689]E(f219(f329(f81(a1),x56891),f329(f81(a1),x56892)),f219(x56891,x56892))+~P1(f329(f329(f240(a1),x56892),f2(a1))) % 166.45/166.22 [5700]E(x57001,x57002)+~E(f329(a3,f329(a117,f329(a20,x57001))),f329(a3,f329(a117,f329(a20,x57002)))) % 166.45/166.22 [5705]E(f49(x57051,x57052),f329(f329(f257(a1,a1),f2(a1)),x57051))+~P1(f329(f329(f239(a1),x57052),f2(a1))) % 166.45/166.22 [5734]E(f47(a905,f329(f108(a905),x57341),f329(f108(a905),x57342)),f2(a905))+~P1(f329(a196,f329(f108(a1),x57341))) % 166.45/166.22 [5749]P1(f329(f329(f239(a1),f2(a1)),f340(x57491)))+~P1(f329(x57491,f329(f105(a1),x57492))) % 166.45/166.22 [5782]P41(f305(a1,x57821,x57822))+~P1(f329(f329(f239(a1),f2(a1)),x57821)) % 166.45/166.22 [5787]~P1(f329(f63(x57871),x57872))+P1(f329(f63(f913(x57871,a900)),f329(f310(x57871),x57872))) % 166.45/166.22 [5800]E(f329(f329(f82(a1),x58001),f329(f105(a1),f346(x58002,x58001))),x58002)+~P1(f329(f329(f239(a1),x58001),x58002)) % 166.45/166.22 [5808]P1(f329(f329(f239(a905),x58081),x58082))+P1(f329(f329(f239(a905),f329(a117,x58082)),x58081)) % 166.45/166.22 [5851]E(f329(f329(f38(a905),f329(f108(a905),x58511)),f329(f108(a905),x58512)),f2(a905))+~P1(f329(a196,f329(f108(a1),x58511))) % 166.45/166.22 [5852]E(f329(f329(f83(a905),f329(f108(a905),x58521)),f329(f108(a905),x58522)),f2(a905))+~P1(f329(f329(f240(a1),x58521),a85)) % 166.45/166.22 [5854]P1(f329(f329(f239(a905),x58541),f329(a117,x58542)))+~P1(f329(f329(f239(a905),x58541),x58542)) % 166.45/166.22 [5856]P1(f329(f329(f240(a905),x58561),f329(a117,x58562)))+~P1(f329(f329(f239(a905),x58561),x58562)) % 166.45/166.22 [5858]P1(f329(f329(f240(a905),x58581),f329(a117,x58582)))+~P1(f329(f329(f240(a905),x58581),x58582)) % 166.45/166.22 [5861]~E(x58611,x58612)+P1(f329(f329(f240(a1),x58611),f329(f329(f82(a1),x58612),f80(a1)))) % 166.45/166.22 [5864]E(f47(a1,x58641,x58642),f2(a1))+E(f329(f329(f23(a1),x58642),f47(a1,x58641,x58642)),f47(a1,f329(f81(a1),x58641),x58642)) % 166.45/166.22 [5873]E(x58731,f118(x58732))+P1(f329(f329(f331(x58732),f147(x58732,x58731)),f329(f175(x58732),x58731))) % 166.45/166.22 [5885]E(f87(f912(a905,a905),f50(x58851,x58852)),f329(f329(f257(a905,a905),f2(a905)),x58851))+~P1(f329(f329(f240(a905),x58851),x58852)) % 166.45/166.22 [5919]E(f329(f329(f23(a905),f329(f108(a905),x59191)),f329(f108(a905),x59192)),f329(f108(a905),x59191))+~P1(f329(f329(f240(a1),x59192),a85)) % 166.45/166.22 [5920]E(f329(f329(f82(a905),f329(f108(a905),x59201)),f329(f108(a905),x59202)),f329(f108(a905),x59202))+~P1(f329(f329(f240(a1),x59201),a85)) % 166.45/166.22 [5927]E(f329(a117,f329(f329(f82(a905),x59271),f876(x59272,x59271))),x59272)+~P1(f329(f329(f240(a905),x59271),x59272)) % 166.45/166.22 [5954]P1(f329(x59541,x59542))+~P1(f329(x59541,f329(a91,f558(x59542,x59541)))) % 166.45/166.22 [5955]P1(f329(x59551,x59552))+~P1(f329(x59551,f329(a3,f842(x59552,x59551)))) % 166.45/166.22 [5963]~P1(f329(f329(f240(a905),x59631),f329(a117,x59632)))+P1(f329(f329(f239(a905),x59631),x59632)) % 166.45/166.22 [6009]E(f329(f329(f311(a905),x60091),f329(f304(a905,x60092),x60091)),f329(f304(a905,x60092),f329(a117,x60091)))+~P1(f329(f329(f239(a905),x60092),x60091)) % 166.45/166.22 [6011]E(x60111,f118(x60112))+E(f329(f329(f137(x60112),f119(x60112,x60111)),f329(f329(f154(x60112),f147(x60112,x60111)),f118(x60112))),x60111) % 166.45/166.22 [6028]P1(f329(f63(x60281),x60282))+~P1(f329(f329(f240(a905),f2(a905)),f329(f37(x60281),x60282))) % 166.45/166.22 [6030]~E(x60301,f191(f913(x60302,a900)))+~P1(f329(f329(f240(a905),f2(a905)),f329(f37(x60302),x60301))) % 166.45/166.22 [6042]~P1(f329(f329(f240(a905),x60421),x60422))+P1(f329(f329(f239(a905),f329(a117,x60421)),x60422)) % 166.45/166.22 [6047]~P105(x60471)+E(f153(x60471,x60471,f5(x60471),f155(x60471,x60472)),f142(x60471,f329(f175(x60471),x60472))) % 166.45/166.22 [6050]E(x60501,f118(x60502))+P1(f329(f329(f331(x60502),f329(f144(x60502),x60501)),f329(f175(x60502),x60501))) % 166.45/166.22 [6056]~P127(x60561)+P1(f329(f329(f240(x60561),x60562),f329(f329(f82(x60561),x60562),f80(x60561)))) % 166.45/166.22 [6058]~P89(x60581)+P1(f329(f329(f239(x60581),f329(f81(x60581),x60582)),f329(f77(x60581),x60582))) % 166.45/166.22 [6092]P1(f329(f63(a905),x60921))+~P1(f329(f329(f239(a905),f889(x60921,x60922)),x60922)) % 166.45/166.22 [6093]P1(f329(f63(a905),x60931))+~P1(f329(f329(f240(a905),f884(x60931,x60932)),x60932)) % 166.45/166.22 [6097]~P1(f329(f63(f912(x60971,x60971)),x60972))+P1(f329(f63(x60971),f329(f284(x60971),x60972))) % 166.45/166.22 [6155]~P1(f329(f329(f240(a905),x61552),f329(a117,x61551)))+~P1(f329(f329(f240(a905),x61551),x61552)) % 166.45/166.22 [6156]~P112(x61561)+E(f329(f329(f106(f913(x61561,a900)),f329(f303(x61561),x61562)),f329(f286(x61561),x61562)),f329(f329(f311(x61561),x61562),f191(f913(x61561,a900)))) % 166.45/166.22 [6168]P1(f329(f63(x61681),x61682))+~P1(f329(f63(f913(x61681,a900)),f329(f310(x61681),x61682))) % 166.45/166.22 [6190]P1(f329(f329(f239(a905),f329(a117,x61901)),f329(a117,x61902)))+~P1(f329(f329(f239(a905),x61901),x61902)) % 166.45/166.22 [6191]P1(f329(f329(f239(a905),f329(a20,x61911)),f329(a20,x61912)))+~P1(f329(f329(f239(a104),x61911),x61912)) % 166.45/166.22 [6192]P1(f329(f329(f239(a104),f329(a3,x61921)),f329(a3,x61922)))+~P1(f329(f329(f239(a905),x61921),x61922)) % 166.45/166.22 [6194]P1(f329(f329(f240(a905),f329(a117,x61941)),f329(a117,x61942)))+~P1(f329(f329(f240(a905),x61941),x61942)) % 166.45/166.22 [6195]P1(f329(f329(f240(a905),f329(a20,x61951)),f329(a20,x61952)))+~P1(f329(f329(f240(a104),x61951),x61952)) % 166.45/166.22 [6196]P1(f329(f329(f240(a104),f329(a3,x61961)),f329(a3,x61962)))+~P1(f329(f329(f240(a905),x61961),x61962)) % 166.45/166.22 [6201]E(x62011,x62012)+~E(f329(f312(a905,a1,f105(a1)),x62011),f329(f312(a905,a1,f105(a1)),x62012)) % 166.45/166.22 [6217]P1(f329(f329(f239(a905),x62171),x62172))+~P1(f329(f329(f239(a905),f329(a117,x62171)),x62172)) % 166.45/166.22 [6220]P1(f329(f329(f240(a905),x62201),x62202))+~P1(f329(f329(f239(a905),f329(a117,x62201)),x62202)) % 166.45/166.22 [6221]P1(f329(f329(f240(a905),x62211),x62212))+~P1(f329(f329(f240(a905),f329(a117,x62211)),x62212)) % 166.45/166.22 [6239]E(f47(a1,x62391,x62392),f2(a1))+E(f329(f329(f23(a1),f47(a1,x62391,x62392)),x62392),f47(a1,x62391,f329(f81(a1),x62392))) % 166.45/166.22 [6304]E(f329(f37(f913(x63041,a900)),f329(f310(x63041),x63042)),f329(f329(f249(a905),f329(a117,f329(a117,f2(a905)))),f329(f37(x63041),x63042)))+~P1(f329(f63(x63041),x63042)) % 166.45/166.22 [6307]E(x63071,f118(x63072))+E(f329(f329(f167(x63072),x63071),f329(f329(f23(a905),f329(f192(f906(x63072)),x63071)),f80(a905))),f147(x63072,x63071)) % 166.45/166.22 [6329]E(x63291,f118(x63292))+E(f329(f329(f137(x63292),f329(f174(x63292),x63291)),f329(f329(f154(x63292),f329(f144(x63292),x63291)),f118(x63292))),f329(f170(x63292),x63291)) % 166.45/166.22 [6359]~P1(f329(f63(x63591),f39(f913(x63591,a900),x63592)))+P1(f329(f63(f913(x63591,a900)),x63592)) % 166.45/166.22 [6381]P1(f329(f329(f239(a905),f329(f108(a905),x63811)),f329(f108(a905),x63812)))+~P1(f329(f329(f239(a1),x63811),a85)) % 166.45/166.22 [6401]~P1(f329(f329(f240(a1),x64011),x64012))+P1(f329(f329(f239(a1),x64011),f329(f329(f23(a1),x64012),f80(a1)))) % 166.45/166.22 [6402]~P1(f329(f329(f239(a1),x64021),x64022))+P1(f329(f329(f240(a1),x64021),f329(f329(f82(a1),x64022),f80(a1)))) % 166.45/166.22 [6403]~P1(f329(f329(f240(a1),x64031),x64032))+P1(f329(f329(f240(a1),x64031),f329(f329(f82(a1),x64032),f80(a1)))) % 166.45/166.22 [6405]~P1(f329(f329(f239(a1),x64051),x64052))+P1(f329(f329(f239(a905),f329(f108(a905),x64051)),f329(f108(a905),x64052))) % 166.45/166.22 [6407]~P1(f329(f329(f239(a905),x64071),x64072))+P1(f329(f329(f239(a1),f329(f105(a1),x64071)),f329(f105(a1),x64072))) % 166.45/166.22 [6408]~P1(f329(f329(f239(a1),x64081),x64082))+P1(f329(f329(f239(a1),f329(f108(a1),x64081)),f329(f108(a1),x64082))) % 166.45/166.22 [6410]~P1(f329(f329(f240(a905),x64101),x64102))+P1(f329(f329(f240(a1),f329(f105(a1),x64101)),f329(f105(a1),x64102))) % 166.45/166.22 [6411]~P1(f329(f329(f240(a1),x64111),x64112))+P1(f329(f329(f240(a1),f329(f108(a1),x64111)),f329(f108(a1),x64112))) % 166.45/166.22 [6430]~P1(f329(f329(f239(a905),x64301),x64302))+~P1(f329(f329(f239(a905),f329(a117,x64302)),x64301)) % 166.45/166.22 [6473]~P1(f329(f329(f239(a905),f329(a117,x64731)),f329(a117,x64732)))+P1(f329(f329(f239(a905),x64731),x64732)) % 166.45/166.22 [6474]~P1(f329(f329(f239(a104),f329(a3,x64741)),f329(a3,x64742)))+P1(f329(f329(f239(a905),x64741),x64742)) % 166.45/166.22 [6475]~P1(f329(f329(f239(a905),f329(a20,x64751)),f329(a20,x64752)))+P1(f329(f329(f239(a104),x64751),x64752)) % 166.45/166.22 [6477]~P1(f329(f329(f240(a905),f329(a117,x64771)),f329(a117,x64772)))+P1(f329(f329(f240(a905),x64771),x64772)) % 166.45/166.22 [6478]~P1(f329(f329(f240(a104),f329(a3,x64781)),f329(a3,x64782)))+P1(f329(f329(f240(a905),x64781),x64782)) % 166.45/166.22 [6479]~P1(f329(f329(f240(a905),f329(a109,x64791)),f329(a109,x64792)))+P1(f329(f329(f240(a1),x64791),x64792)) % 166.45/166.22 [6480]~P1(f329(f329(f240(a905),f329(a20,x64801)),f329(a20,x64802)))+P1(f329(f329(f240(a104),x64801),x64802)) % 166.45/166.22 [6524]~P1(f329(f329(f240(a905),f329(a109,x65242)),f329(a109,x65241)))+P1(f329(f329(f240(a1),f2(a1)),x65241)) % 166.45/166.22 [6557]P1(f329(f329(f239(a1),f2(a1)),f47(a1,x65571,x65572)))+~P1(f329(f329(f240(a1),f2(a1)),x65572)) % 166.45/166.22 [6719]P37(x67191,x67192)+~E(f329(f329(f291(x67191,x67191,x67191),x67192),x67192),f191(f913(f912(x67191,x67191),a900))) % 166.45/166.22 [6731]~P37(x67311,x67312)+P37(x67311,f329(f329(f291(x67311,x67311,x67311),x67312),x67312)) % 166.45/166.22 [6742]P1(f329(f329(f239(a1),x67421),x67422))+~P1(f329(f329(f240(a1),x67421),f329(f329(f82(a1),x67422),f80(a1)))) % 166.45/166.22 [6743]P1(f329(f329(f240(a1),x67431),x67432))+~P1(f329(f329(f239(a1),x67431),f329(f329(f23(a1),x67432),f80(a1)))) % 166.45/166.22 [6746]P1(f329(f329(f239(a905),x67461),x67462))+~P1(f329(f329(f239(a1),f329(f105(a1),x67461)),f329(f105(a1),x67462))) % 166.45/166.22 [6747]P1(f329(f329(f239(a1),x67471),x67472))+~P1(f329(f329(f239(a1),f329(f108(a1),x67471)),f329(f108(a1),x67472))) % 166.45/166.22 [6749]P1(f329(f329(f240(a905),x67491),x67492))+~P1(f329(f329(f240(a1),f329(f105(a1),x67491)),f329(f105(a1),x67492))) % 166.45/166.22 [6750]P1(f329(f329(f240(a1),x67501),x67502))+~P1(f329(f329(f240(a905),f329(f108(a905),x67501)),f329(f108(a905),x67502))) % 166.45/166.22 [6751]P1(f329(f329(f240(a1),x67511),x67512))+~P1(f329(f329(f240(a1),f329(f108(a1),x67511)),f329(f108(a1),x67512))) % 166.45/166.22 [6845]~E(f720(x68452,x68451),f118(x68451))+E(f329(f145(f906(x68451),f906(x68451),f137(x68451),f118(x68451)),x68452),f118(x68451)) % 166.45/166.22 [6846]~E(f721(x68462,x68461),f118(x68461))+E(f329(f145(f906(x68461),f906(x68461),f137(x68461),f118(x68461)),x68462),f118(x68461)) % 166.45/166.22 [6851]~P4(x68511)+E(f329(f145(x68511,x68511,f106(x68511),f247(x68511)),x68512),f40(x68511,f329(f175(x68511),x68512))) % 166.45/166.22 [6852]~P4(x68521)+E(f329(f145(x68521,x68521,f115(x68521),f191(x68521)),x68522),f39(x68521,f329(f175(x68521),x68522))) % 166.45/166.22 [6866]E(x68661,f2(a104))+E(f329(f329(f82(a905),f329(a20,f329(f329(f23(a104),x68661),f80(a104)))),f329(a117,x68662)),f329(f329(f82(a905),f329(a20,x68661)),x68662)) % 166.45/166.22 [6915]P1(f329(f329(f240(a1),f329(f329(f23(a1),x69151),x69152)),f2(a1)))+~P1(f329(f329(f240(a1),x69151),x69152)) % 166.45/166.22 [6940]~P105(x69401)+E(f329(f329(f115(f913(x69401,a900)),f329(f329(f311(x69401),x69402),f191(f913(x69401,a900)))),f329(f306(x69401),x69402)),f329(f286(x69401),x69402)) % 166.45/166.22 [7013]~P62(x70131,x70132)+P37(x70131,f329(f267(f912(x70131,x70131)),f329(f262(x70131,x70131,a900),x70132))) % 166.45/166.22 [7014]~P62(x70141,x70142)+P60(x70141,f329(f267(f912(x70141,x70141)),f329(f262(x70141,x70141,a900),x70142))) % 166.45/166.22 [7015]~P52(x70151,x70152)+P38(x70151,f329(f267(f912(x70151,x70151)),f329(f262(x70151,x70151,a900),x70152))) % 166.45/166.22 [7016]~P53(x70161,x70162)+P54(x70161,f329(f267(f912(x70161,x70161)),f329(f262(x70161,x70161,a900),x70162))) % 166.45/166.22 [7017]E(x70171,f191(f913(x70172,a900)))+~P1(f329(f329(f239(f913(x70172,a900)),x70171),f191(f913(x70172,a900)))) % 166.45/166.22 [7099]~P1(f329(f329(f240(a905),f2(a905)),x70992))+P1(f329(f329(f239(a905),f47(a905,x70991,x70992)),x70992)) % 166.45/166.22 [7100]~P1(f329(f329(f239(a1),f2(a1)),x71001))+P1(f329(f329(f239(a1),f47(a1,x71001,x71002)),x71001)) % 166.45/166.22 [7101]~P1(f329(f329(f240(a905),f2(a905)),x71012))+P1(f329(f329(f240(a905),f47(a905,x71011,x71012)),x71012)) % 166.45/166.22 [7103]~P1(f329(f329(f240(a1),f2(a1)),x71032))+P1(f329(f329(f240(a1),f47(a1,x71031,x71032)),x71032)) % 166.45/166.22 [7178]~P112(x71781)+E(f329(f329(f23(f913(x71781,a900)),f329(f329(f311(x71781),x71782),f191(f913(x71781,a900)))),f329(f285(x71781),x71782)),f329(f329(f311(x71781),x71782),f191(f913(x71781,a900)))) % 166.45/166.22 [7250]~P50(x72501,x72502)+P55(x72501,f247(f913(x72501,a900)),f329(f267(f912(x72501,x72501)),f329(f262(x72501,x72501,a900),x72502))) % 166.45/166.22 [7251]P1(f329(x72511,x72512))+P1(f329(f329(f331(f913(f912(a905,a905),a900)),f558(x72512,x72511)),a103)) % 166.45/166.22 [7295]E(f329(f329(f137(a905),f142(a905,f329(f304(a905,x72951),x72952))),f329(f329(f154(a905),x72952),f118(a905))),f142(a905,f329(f304(a905,x72951),f329(a117,x72952))))+~P1(f329(f329(f239(a905),x72951),x72952)) % 166.45/166.22 [7451]E(x74511,f2(a905))+~E(f329(f145(a905,a905,f82(a905),x74511),x74512),f2(a905)) % 166.45/166.22 [7477]~P1(f329(f329(f240(a1),f329(f329(f23(a1),x74771),x74772)),f2(a1)))+P1(f329(f329(f240(a1),x74771),x74772)) % 166.45/166.22 [7504]P37(x75041,x75042)+~P37(x75041,f329(f329(f291(x75041,x75041,x75041),x75042),x75042)) % 166.45/166.22 [7533]~P1(f329(f329(f239(a905),f329(a117,x75331)),x75332))+P1(f188(a900,a244,f329(f239(a905),x75331),x75332)) % 166.45/166.22 [7689]P24(a905,a905,f329(f329(f7(a905,a905,a905),f23(a905)),x76891),x76892)+P1(f329(f329(f331(a905),f894(x76891,x76892)),x76892)) % 166.45/166.22 [7746]E(f329(f329(f329(f67(a905,x77461,f82(a905)),f329(f16(a905,x77461),f80(a905))),f2(a905)),x77462),f329(f37(x77461),x77462))+~P1(f329(f63(x77461),x77462)) % 166.45/166.22 [7788]P24(a905,a905,f329(f329(f7(a905,a905,a905),f23(a905)),x77881),x77882)+~P1(f329(f329(f239(a905),x77881),f894(x77881,x77882))) % 166.45/166.22 [7844]P37(x78441,x78442)+P1(f329(f329(f239(f913(x78441,a900)),f566(x78442,x78441)),f329(f288(x78441,x78441,x78442),f566(x78442,x78441)))) % 166.45/166.22 [7849]P62(x78491,x78492)+~P37(x78491,f329(f267(f912(x78491,x78491)),f329(f262(x78491,x78491,a900),x78492))) % 166.45/166.22 [7850]P52(x78501,x78502)+~P38(x78501,f329(f267(f912(x78501,x78501)),f329(f262(x78501,x78501,a900),x78502))) % 166.45/166.22 [7851]P53(x78511,x78512)+~P54(x78511,f329(f267(f912(x78511,x78511)),f329(f262(x78511,x78511,a900),x78512))) % 166.45/166.22 [7925]P1(f329(f329(f239(a905),f329(a117,x79251)),x79252))+~P1(f188(a900,a244,f329(f239(a905),x79251),x79252)) % 166.45/166.22 [7981]P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x79811),x79812)),f309(a905,a319)))+~P1(f329(f329(f239(a905),x79811),x79812)) % 166.45/166.22 [8078]P50(x80781,x80782)+~P55(x80781,f247(f913(x80781,a900)),f329(f267(f912(x80781,x80781)),f329(f262(x80781,x80781,a900),x80782))) % 166.45/166.22 [8141]~P1(f329(f140(x81411),x81412))+P1(f329(f140(f913(x81411,a900)),f329(f329(f157(f906(x81411),f913(x81411,a900)),f175(x81411)),f56(x81411,x81412)))) % 166.45/166.22 [8343]~P37(x83431,f329(f289(x83431,x83431),x83432))+P37(x83431,f329(f289(x83431,x83431),f329(f329(f291(x83431,x83431,x83431),x83432),f309(x83431,x83432)))) % 166.45/166.22 [8469]P1(f329(f63(f912(x84691,x84691)),f329(f329(f291(x84691,x84691,x84691),x84692),f309(x84691,x84692))))+~P1(f329(f63(f912(x84691,x84691)),x84692)) % 166.45/166.22 [8497]E(x84971,f2(a1))+P1(f329(f51(x84972,x84971),f329(f329(f257(a1,a1),f329(f329(f38(a1),x84972),x84971)),f47(a1,x84972,x84971)))) % 166.45/166.22 [8510]~P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x85101),x85102)),f309(a905,a319)))+P1(f329(f329(f239(a905),x85101),x85102)) % 166.45/166.22 [8527]~P84(x85271)+E(f329(f145(x85271,x85271,f329(f7(x85271,x85271,x85271),f82(x85271)),f2(x85271)),f329(f171(x85271),x85272)),f329(f145(x85271,x85271,f82(x85271),f2(x85271)),x85272)) % 166.45/166.22 [8709]~P105(x87091)+E(f329(f145(f906(x87091),x87091,f329(f7(x87091,f906(x87091),f906(x87091)),f151(x87091,x87091,f5(x87091))),f118(x87091)),x87092),f153(x87091,x87091,f5(x87091),x87092)) % 166.45/166.22 [8811]~P60(x88111,f329(f267(f912(x88111,x88111)),f329(f262(x88111,x88111,a900),x88112)))+P60(x88111,f329(f267(f912(x88111,x88111)),f329(f262(x88111,x88111,a900),f248(x88111,x88111,x88112)))) % 166.45/166.22 [8825]P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x88251),x88252)),f329(f329(f291(a905,a905,a905),a319),f309(a905,a319))))+~P1(f329(f329(f240(a905),x88251),x88252)) % 166.45/166.22 [8867]~P1(f329(f63(f912(x88671,x88671)),f329(f329(f291(x88671,x88671,x88671),x88672),f309(x88671,x88672))))+P1(f329(f63(f912(x88671,x88671)),x88672)) % 166.45/166.22 [8921]~P60(x89211,f329(f267(f912(x89211,x89211)),f329(f262(x89211,x89211,a900),f248(x89211,x89211,x89212))))+P60(x89211,f329(f267(f912(x89211,x89211)),f329(f262(x89211,x89211,a900),x89212))) % 166.45/166.22 [9124]P60(x91241,x91242)+P1(f329(f329(f331(f912(x91241,x91241)),f329(f329(f257(x91241,x91241),f593(x91242,x91241)),f593(x91242,x91241))),f329(f329(f291(x91241,x91241,x91241),x91242),f309(x91241,x91242)))) % 166.45/166.22 [9125]P60(x91251,x91252)+P1(f329(f329(f331(f912(x91251,x91251)),f329(f329(f257(x91251,x91251),f602(x91252,x91251)),f602(x91252,x91251))),f329(f329(f291(x91251,x91251,x91251),x91252),f309(x91251,x91252)))) % 166.45/166.22 [9245]~P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x92451),x92452)),f329(f329(f291(a905,a905,a905),a319),f309(a905,a319))))+P1(f329(f329(f240(a905),x92451),x92452)) % 166.45/166.22 [5171]~P97(x51711)+E(f329(f329(f82(x51711),f329(f108(x51711),a85)),x51712),x51712) % 166.45/166.22 [5204]~P99(x52041)+E(f329(f329(f115(x52041),f329(f81(x52041),x52042)),x52042),f247(x52041)) % 166.45/166.22 [5205]~P99(x52051)+E(f329(f329(f106(x52051),f329(f81(x52051),x52052)),x52052),f191(x52051)) % 166.45/166.22 [5206]~P67(x52061)+E(f329(f329(f82(x52061),f329(f81(x52061),x52062)),x52062),f2(x52061)) % 166.45/166.22 [5207]~P68(x52071)+E(f329(f329(f82(x52071),f329(f81(x52071),x52072)),x52072),f2(x52071)) % 166.45/166.22 [5242]~P97(x52421)+E(f329(f329(f83(x52421),f329(f108(x52421),a102)),x52422),f329(f81(x52421),x52422)) % 166.45/166.22 [5404]~P120(x54041)+E(f329(f329(f83(x54041),f329(f81(x54041),f80(x54041))),x54042),f329(f81(x54041),x54042)) % 166.45/166.22 [5449]E(f329(f77(a1),x54491),f80(a1))+~E(f329(f77(a1),f329(f329(f83(a1),x54491),x54492)),f80(a1)) % 166.45/166.22 [5537]~P97(x55371)+E(f329(f329(f82(x55371),f80(x55371)),f329(f108(x55371),x55372)),f329(f108(x55371),f329(f329(f23(a1),x55372),a102))) % 166.45/166.22 [5590]~P2(x55901)+E(f10(x55901,f329(f329(f311(x55901),x55902),f191(f913(x55901,a900)))),x55902) % 166.45/166.22 [5591]~P2(x55911)+E(f13(x55911,f329(f329(f311(x55911),x55912),f191(f913(x55911,a900)))),x55912) % 166.45/166.22 [5592]~P105(x55921)+E(f14(x55921,f329(f329(f311(x55921),x55922),f191(f913(x55921,a900)))),x55922) % 166.45/166.22 [5593]~P105(x55931)+E(f15(x55931,f329(f329(f311(x55931),x55932),f191(f913(x55931,a900)))),x55932) % 166.45/166.22 [5594]~P4(x55941)+E(f40(x55941,f329(f329(f311(x55941),x55942),f191(f913(x55941,a900)))),x55942) % 166.45/166.22 [5595]~P4(x55951)+E(f39(x55951,f329(f329(f311(x55951),x55952),f191(f913(x55951,a900)))),x55952) % 166.45/166.22 [5617]E(f329(f329(f82(a905),x56171),f329(f329(f23(a905),x56172),x56171)),x56172)+P1(f329(f329(f240(a905),x56172),x56171)) % 166.45/166.22 [5653]E(x56531,f118(x56532))+P1(f329(f329(f240(a905),f2(a905)),f329(f192(f906(x56532)),x56531))) % 166.45/166.22 [5779]~P105(x57791)+E(f11(x57791,f237(x57791),f329(f329(f311(x57791),x57792),f191(f913(x57791,a900)))),x57792) % 166.45/166.22 [5780]~P105(x57801)+E(f12(x57801,f238(x57801),f329(f329(f311(x57801),x57802),f191(f913(x57801,a900)))),x57802) % 166.45/166.22 [5841]E(f329(f329(f23(a905),x58411),f329(f329(f23(a905),x58411),x58412)),x58412)+~P1(f329(f329(f239(a905),x58412),x58411)) % 166.45/166.22 [5842]E(f329(f329(f82(a905),x58421),f329(f329(f23(a905),x58422),x58421)),x58422)+~P1(f329(f329(f239(a905),x58421),x58422)) % 166.45/166.22 [5863]E(f47(a905,f329(f329(f23(a905),x58631),x58632),x58632),f47(a905,x58631,x58632))+P1(f329(f329(f240(a905),x58631),x58632)) % 166.45/166.22 [5874]E(f329(f81(a1),f329(f329(f38(a1),x58741),f329(f81(a1),x58742))),f294(x58741,x58742))+P1(f329(f329(f239(a1),f2(a1)),x58742)) % 166.45/166.22 [5876]~E(x58762,f2(a905))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f249(a905),x58761),x58762))) % 166.45/166.22 [5932]~P97(x59321)+E(f329(f329(f82(x59321),f329(f81(x59321),f80(x59321))),f329(f108(x59321),x59322)),f329(f108(x59321),f329(f329(f82(a1),x59322),a102))) % 166.45/166.22 [5933]E(f329(f329(f249(a905),f329(f108(a905),x59331)),x59332),f329(f329(f249(a905),f2(a905)),x59332))+~P1(f329(a196,f329(f108(a1),x59331))) % 166.45/166.22 [6034]E(f329(f144(a905),f142(a905,f329(f304(a905,x60341),x60342))),x60341)+~P1(f329(f329(f240(a905),x60341),x60342)) % 166.45/166.22 [6051]E(f329(f329(f83(a905),f329(f108(a905),x60511)),f329(f108(a905),x60512)),f329(f108(a905),f329(f329(f83(a1),x60511),x60512)))+P1(f329(f329(f240(a1),x60511),a85)) % 166.45/166.22 [6057]~P128(x60571)+P1(f329(f329(f239(x60571),f2(x60571)),f329(f329(f83(x60571),x60572),x60572))) % 166.45/166.22 [6069]E(f329(f329(f23(a905),f329(a117,x60691)),x60692),f329(a117,f329(f329(f23(a905),x60691),x60692)))+~P1(f329(f329(f239(a905),x60692),x60691)) % 166.45/166.22 [6072]E(f47(a905,f329(f329(f23(a905),x60721),x60722),x60722),f47(a905,x60721,x60722))+~P1(f329(f329(f239(a905),x60722),x60721)) % 166.45/166.22 [6128]E(f329(f329(f249(a905),f329(a109,x61281)),x61282),f329(a109,f329(f329(f249(a1),x61281),x61282)))+~P1(f329(f329(f239(a1),f2(a1)),x61281)) % 166.45/166.22 [6146]P1(f329(f140(x61461),x61462))+P1(f329(f329(f240(a905),f692(x61462,x61461)),f329(f192(f906(x61461)),x61462))) % 166.45/166.22 [6147]P1(f329(f140(x61471),x61472))+P1(f329(f329(f240(a905),f697(x61472,x61471)),f329(f192(f906(x61471)),x61472))) % 166.45/166.22 [6162]~E(x61621,f118(x61622))+~P1(f329(f329(f240(a905),f2(a905)),f329(f192(f906(x61622)),x61621))) % 166.45/166.22 [6173]E(f147(a905,f142(a905,f329(f304(a905,x61731),x61732))),f329(f329(f23(a905),x61732),f80(a905)))+~P1(f329(f329(f240(a905),x61731),x61732)) % 166.45/166.22 [6176]E(f329(f329(f82(a1),x61761),f329(f105(a1),f329(a117,f343(x61762,x61761)))),x61762)+~P1(f329(f329(f240(a1),x61761),x61762)) % 166.45/166.22 [6183]E(x61831,f2(a905))+E(f329(f329(f83(a905),x61832),f329(f329(f249(a905),x61832),f329(f329(f23(a905),x61831),f80(a905)))),f329(f329(f249(a905),x61832),x61831)) % 166.45/166.22 [6211]E(f329(f329(f83(a905),f329(a109,x62111)),f329(a109,x62112)),f329(a109,f329(f329(f83(a1),x62111),x62112)))+~P1(f329(f329(f239(a1),f2(a1)),x62111)) % 166.45/166.22 [6212]E(f329(f329(f38(a905),f329(a109,x62121)),f329(a109,x62122)),f329(a109,f329(f329(f38(a1),x62121),x62122)))+~P1(f329(f329(f239(a1),f2(a1)),x62121)) % 166.45/166.22 [6226]~P118(x62261)+E(f329(f329(f82(x62261),x62262),x62262),f329(f329(f83(x62261),f329(f329(f82(x62261),f80(x62261)),f80(x62261))),x62262)) % 166.45/166.22 [6248]E(f329(f329(f23(a1),f329(f105(a1),x62481)),f329(f105(a1),x62482)),f329(f105(a1),f329(f329(f23(a905),x62481),x62482)))+~P1(f329(f329(f239(a905),x62482),x62481)) % 166.45/166.22 [6250]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x62501),x62502)),f52(x62501,x62502))+~P1(f329(f329(f239(a1),x62502),f2(a1))) % 166.45/166.22 [6281]E(f182(x62811,x62812),f118(f906(x62811)))+P1(f329(f329(f331(f906(x62811)),f691(x62812,x62811)),f329(f175(f906(x62811)),x62812))) % 166.45/166.22 [6290]E(f121(a1,f329(f133(a1),x62901),f132(x62902,f329(f329(f82(a1),x62901),f80(a1)))),f132(x62902,x62901))+P1(f329(f329(f240(a1),x62902),x62901)) % 166.45/166.22 [6365]E(f329(f329(f154(a1),x63651),f181(f329(f329(f82(a1),x63651),f80(a1)),x63652)),f181(x63651,x63652))+~P1(f329(f329(f239(a1),x63651),x63652)) % 166.45/166.22 [6404]~P1(f329(f329(f240(a905),x64042),x64041))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f23(a905),x64041),x64042))) % 166.45/166.22 [6435]~P1(f329(f329(f240(a905),x64351),f329(a109,x64352)))+P1(f329(f329(f240(a1),f329(f105(a1),x64351)),x64352)) % 166.45/166.22 [6464]~P105(x64641)+E(f329(f329(f115(f913(x64641,a900)),f329(f285(x64641),x64642)),f329(f329(f311(x64641),x64642),f191(f913(x64641,a900)))),f329(f303(x64641),x64642)) % 166.45/166.22 [6465]~P1(f329(f329(f239(a1),f2(a1)),x64651))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),x64651),x64652))) % 166.45/166.22 [6468]~P1(f329(f329(f240(a905),f2(a905)),x64681))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f249(a905),x64681),x64682))) % 166.45/166.22 [6499]~E(f329(x64991,f2(a905)),f2(a905))+E(f329(f329(f6(a905,a905),x64991),f305(a905,f329(a117,f2(a905)),x64992)),f329(f329(f6(a905,a905),x64991),f305(a905,f2(a905),x64992))) % 166.45/166.22 [6565]~P97(x65651)+E(f329(f329(f83(x65651),f329(f329(f82(x65651),f80(x65651)),f80(x65651))),f329(f108(x65651),x65652)),f329(f108(x65651),f329(f329(f82(a1),x65652),x65652))) % 166.45/166.22 [6580]E(f329(f329(f311(a1),x65801),f305(a1,f329(f329(f82(a1),x65801),f80(a1)),x65802)),f305(a1,x65801,x65802))+P1(f329(f329(f240(a1),x65802),x65801)) % 166.45/166.22 [6581]P1(f329(f329(f240(a905),x65811),f329(a109,x65812)))+~P1(f329(f329(f240(a1),f329(f105(a1),x65811)),x65812)) % 166.45/166.22 [6687]E(f329(a109,f329(f329(f38(a1),f329(f108(a1),x66871)),f329(f108(a1),x66872))),f329(f329(f38(a905),f329(f108(a905),x66871)),f329(f108(a905),x66872)))+P1(f329(a196,f329(f108(a1),x66871))) % 166.45/166.22 [6744]P1(f329(f329(f240(a905),x67441),x67442))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f23(a905),x67442),x67441))) % 166.45/166.22 [6788]P1(f329(f329(f240(a905),f2(a905)),x67881))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f83(a905),x67882),x67881))) % 166.45/166.22 [6789]P1(f329(f329(f240(a905),f2(a905)),x67891))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f83(a905),x67891),x67892))) % 166.45/166.22 [6808]~P1(f329(f329(f239(a1),x68081),f2(a1)))+E(f329(f329(f83(a905),f329(a109,f329(f81(a1),x68081))),f329(a109,f329(f81(a1),x68082))),f329(a109,f329(f329(f83(a1),x68081),x68082))) % 166.45/166.22 [6863]~E(x68632,f191(f913(x68631,a900)))+P1(f329(f329(f239(f913(x68631,a900)),x68632),f329(f81(f913(x68631,a900)),x68632))) % 166.45/166.22 [6925]~P97(x69251)+E(f329(f329(f82(x69251),f329(f329(f82(x69251),f2(x69251)),f329(f108(x69251),x69252))),f329(f108(x69251),x69252)),f329(f108(x69251),f329(f329(f82(a1),x69252),x69252))) % 166.45/166.22 [6979]~P1(f329(f329(f240(a1),x69791),x69792))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x69791),f80(a1))),x69792)) % 166.45/166.22 [7046]E(x70461,f2(a905))+~P1(f329(f329(f239(a1),f329(f105(a1),x70462)),f329(f81(a1),f329(f105(a1),x70461)))) % 166.45/166.22 [7047]E(x70471,f2(a905))+~P1(f329(f329(f239(a1),f329(f105(a1),x70471)),f329(f81(a1),f329(f105(a1),x70472)))) % 166.45/166.22 [7146]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x71461),x71462)),f52(x71461,x71462))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x71461),x71462))) % 166.45/166.22 [7190]~P26(x71901,x71902)+P37(x71901,f329(f256(f913(f912(x71901,x71901),a900),f913(f912(x71901,x71901),a900)),x71902)) % 166.45/166.22 [7208]~P1(f329(f329(f239(a905),f329(a117,f2(a905))),x72081))+P1(f329(f329(f239(a905),f329(a117,f2(a905))),f329(f329(f249(a905),x72081),x72082))) % 166.45/166.22 [7388]~P1(f329(f329(f239(a1),x73881),x73882))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x73881),x73881)),f329(f329(f82(a1),x73882),x73882))) % 166.45/166.22 [7393]~P1(f329(f329(f240(a1),x73931),x73932))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73931),x73931)),f329(f329(f82(a1),x73932),x73932))) % 166.45/166.22 [7454]~P1(f329(f329(f240(a905),f2(a905)),x74541))+P1(f329(f329(f240(a905),f329(f329(f23(a905),x74541),f329(a117,x74542))),x74541)) % 166.45/166.22 [7486]P1(f329(f329(f239(a905),f329(a117,f2(a905))),x74861))+~P1(f329(f329(f239(a905),f329(a117,f2(a905))),f329(f329(f83(a905),x74862),x74861))) % 166.45/166.22 [7487]P1(f329(f329(f239(a905),f329(a117,f2(a905))),x74871))+~P1(f329(f329(f239(a905),f329(a117,f2(a905))),f329(f329(f83(a905),x74871),x74872))) % 166.45/166.22 [7491]P1(f329(f329(f239(a905),f329(f329(f167(a905),x74911),x74912)),f329(f168(a905),x74911)))+~P1(f329(f329(f240(a905),x74912),f329(f192(f906(a905)),x74911))) % 166.45/166.22 [7532]P1(f329(f329(f240(a1),x75321),x75322))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x75321),f80(a1))),x75322)) % 166.45/166.22 [7578]P1(f329(f63(x75781),f247(f913(x75781,a900))))+~P1(f329(f63(f913(x75782,x75781)),f247(f913(f913(x75782,x75781),a900)))) % 166.45/166.22 [7579]P1(f329(f63(x75791),f247(f913(x75791,a900))))+~P1(f329(f63(f911(x75792,x75791)),f247(f913(f911(x75792,x75791),a900)))) % 166.45/166.22 [7580]P1(f329(f63(x75801),f247(f913(x75801,a900))))+~P1(f329(f63(f911(x75801,x75802)),f247(f913(f911(x75801,x75802),a900)))) % 166.45/166.22 [7619]E(x76191,f191(f913(x76192,a900)))+~P1(f329(f329(f239(f913(x76192,a900)),x76191),f329(f81(f913(x76192,a900)),x76191))) % 166.45/166.22 [7756]E(f329(f145(f906(x77561),f906(x77561),f137(x77561),f118(x77561)),x77562),f118(x77561))+P1(f329(f329(f331(f906(x77561)),f720(x77562,x77561)),f329(f175(f906(x77561)),x77562))) % 166.45/166.22 [7757]E(f329(f145(f906(x77571),f906(x77571),f137(x77571),f118(x77571)),x77572),f118(x77571))+P1(f329(f329(f331(f906(x77571)),f721(x77572,x77571)),f329(f175(f906(x77571)),x77572))) % 166.45/166.22 [7999]P1(f329(f329(f239(a1),x79991),x79992))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x79991),x79991)),f329(f329(f82(a1),x79992),x79992))) % 166.45/166.22 [8004]P1(f329(f329(f240(a1),x80041),x80042))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x80041),x80041)),f329(f329(f82(a1),x80042),x80042))) % 166.45/166.22 [8100]~P118(x81001)+E(f329(f329(f83(x81001),f329(f329(f82(x81001),f80(x81001)),f80(x81001))),f329(f329(f6(a905,x81001),f105(x81001)),f305(a905,f80(a905),x81002))),f329(f329(f83(x81001),f329(f105(x81001),x81002)),f329(f329(f82(x81001),f329(f105(x81001),x81002)),f80(x81001)))) % 166.45/166.22 [8157]P1(f329(f329(f331(a905),x81571),x81572))+~P1(f329(f329(f331(a1),f329(f105(a1),x81571)),f329(f312(a905,a1,f105(a1)),x81572))) % 166.45/166.22 [8314]~P1(f329(f63(x83141),x83142))+E(f329(f312(a905,x83141,f416(x83142,x83141)),f329(f267(a905),f329(f329(f7(a905,a905,a900),f240(a905)),f417(x83142,x83141)))),x83142) % 166.45/166.22 [8604]P56(x86041,x86042)+P1(f329(f329(f331(f912(x86041,x86041)),f329(f329(f257(x86041,x86041),f510(x86042,x86041)),f510(x86042,x86041))),x86042)) % 166.45/166.22 [8605]P38(x86051,x86052)+P1(f329(f329(f331(f912(x86051,x86051)),f329(f329(f257(x86051,x86051),f814(x86052,x86051)),f815(x86052,x86051))),x86052)) % 166.45/166.22 [8606]P38(x86061,x86062)+P1(f329(f329(f331(f912(x86061,x86061)),f329(f329(f257(x86061,x86061),f815(x86062,x86061)),f816(x86062,x86061))),x86062)) % 166.45/166.22 [8607]P39(x86071,x86072)+P1(f329(f329(f331(f912(x86071,x86071)),f329(f329(f257(x86071,x86071),f731(x86072,x86071)),f730(x86072,x86071))),x86072)) % 166.45/166.22 [8608]P39(x86081,x86082)+P1(f329(f329(f331(f912(x86081,x86081)),f329(f329(f257(x86081,x86081),f730(x86082,x86081)),f731(x86082,x86081))),x86082)) % 166.45/166.22 [8609]P54(x86091,x86092)+P1(f329(f329(f331(f912(x86091,x86091)),f329(f329(f257(x86091,x86091),f826(x86092,x86091)),f827(x86092,x86091))),x86092)) % 166.45/166.22 [8750]~P97(x87501)+E(f329(f329(f23(x87501),f80(x87501)),f329(f108(x87501),x87502)),f329(f108(x87501),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x87502)))) % 166.45/166.22 [8864]~P1(f329(f329(f240(f913(a905,a900)),x88641),x88642))+P1(f329(f329(f240(f913(a1,a900)),f329(f312(a905,a1,f105(a1)),x88641)),f329(f312(a905,a1,f105(a1)),x88642))) % 166.45/166.22 [8896]~P1(f329(f329(f240(a1),x88961),x88962))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88961),x88961)),a102)),f329(f329(f82(a1),x88962),x88962))) % 166.45/166.22 [8898]~P1(f329(f329(f240(a1),x88981),x88982))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88981),x88981)),a102)),f329(f329(f82(a1),x88982),x88982))) % 166.45/166.22 [8967]~P1(f329(f329(f331(a905),x89671),f329(f175(a905),x89672)))+P1(f329(f329(f239(a905),x89671),f329(f145(a905,a905,f82(a905),f2(a905)),x89672))) % 166.45/166.22 [9063]P47(x90631,x90632)+~P1(f329(f329(f331(f912(x90631,x90631)),f329(f329(f257(x90631,x90631),f504(x90632,x90631)),f504(x90632,x90631))),x90632)) % 166.45/166.22 [9064]P38(x90641,x90642)+~P1(f329(f329(f331(f912(x90641,x90641)),f329(f329(f257(x90641,x90641),f814(x90642,x90641)),f816(x90642,x90641))),x90642)) % 166.45/166.22 [9065]P54(x90651,x90652)+~P1(f329(f329(f331(f912(x90651,x90651)),f329(f329(f257(x90651,x90651),f827(x90652,x90651)),f826(x90652,x90651))),x90652)) % 166.45/166.22 [9207]~P1(f329(f329(f239(f913(a1,a900)),f329(f312(a905,a1,f105(a1)),x92071)),f329(f312(a905,a1,f105(a1)),x92072)))+P1(f329(f329(f239(f913(a905,a900)),x92071),x92072)) % 166.45/166.22 [9208]~P1(f329(f329(f240(f913(a1,a900)),f329(f312(a905,a1,f105(a1)),x92081)),f329(f312(a905,a1,f105(a1)),x92082)))+P1(f329(f329(f240(f913(a905,a900)),x92081),x92082)) % 166.45/166.22 [9301]P1(f329(f329(f240(a1),x93011),x93012))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93011),x93011)),a102)),f329(f329(f82(a1),x93012),x93012))) % 166.45/166.22 [9303]P1(f329(f329(f240(a1),x93031),x93032))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93031),x93031)),a102)),f329(f329(f82(a1),x93032),x93032))) % 166.45/166.22 [10173]~P110(x101731)+E(f121(f906(x101731),f329(f133(f906(x101731)),f118(x101731)),f329(f329(f329(f99(f907(f906(x101731))),f329(f329(f240(a1),f2(a1)),x101732)),f329(f123(f912(x101731,f906(x101731)),f906(x101731),f134(x101731,f906(x101731),f135(x101731,f329(f329(f23(a1),x101732),f80(a1))),f135(f906(x101731),f329(f329(f23(a1),x101732),f80(a1))))),f329(f262(x101731,f906(x101731),f907(f906(x101731))),f329(f329(f8(f913(f906(x101731),f906(x101731)),f913(f906(x101731),f907(f906(x101731))),x101731),f329(f8(f906(x101731),f907(f906(x101731)),f906(x101731)),f133(f906(x101731)))),f154(x101731))))),f120(f906(x101731)))),f135(f906(x101731),x101732)) % 166.45/166.22 [10195]~P1(f329(f63(x101951),x101952))+E(f329(f192(f906(x101951)),f92(f906(x101951),f329(f329(f18(f906(x101951),a900,a900),f329(f329(f8(a900,f913(a900,a900),f906(x101951)),a327),f329(f329(f7(f906(x101951),f913(x101951,a900),a900),f329(f329(f8(f913(x101951,a900),f913(f913(x101951,a900),a900),f906(x101951)),a326),f175(x101951))),x101952))),f140(x101951)))),f218(x101951,x101952)) % 166.45/166.22 [6172]E(f329(f329(f82(a905),f329(f329(f23(a905),x61721),x61722)),x61722),x61721)+~P1(f329(f329(f239(a905),x61722),x61721)) % 166.45/166.22 [6244]E(f329(f329(f38(a905),f329(f329(f83(a905),x62441),x62442)),x62442),x62441)+~P1(f329(f329(f240(a905),f2(a905)),x62442)) % 166.45/166.22 [6245]E(f329(f329(f38(a905),f329(f329(f83(a905),x62451),x62452)),x62451),x62452)+~P1(f329(f329(f240(a905),f2(a905)),x62451)) % 166.45/166.22 [6249]~P74(x62491)+E(f329(f329(f6(a905,x62491),f329(f167(x62491),x62492)),f329(f304(a905,f2(a905)),f329(f192(f906(x62491)),x62492))),f329(f168(x62491),x62492)) % 166.45/166.22 [6357]E(f47(a905,f329(a117,f329(f329(f83(a905),x63571),x63572)),x63571),f80(a905))+~P1(f329(f329(f240(a905),f80(a905)),x63571)) % 166.45/166.22 [6363]E(f329(a117,f329(f329(f82(a905),f329(f108(a905),x63631)),x63632)),f329(f329(f82(a905),f80(a905)),x63632))+~P1(f329(a196,f329(f108(a1),x63631))) % 166.45/166.22 [6392]E(f329(a109,f329(f329(f249(a1),f329(f108(a1),x63921)),x63922)),f329(f329(f249(a905),f329(f108(a905),x63921)),x63922))+P1(f329(a196,f329(f108(a1),x63921))) % 166.45/166.22 [6636]E(f329(f329(f23(a905),x66361),f329(f108(a905),f329(f329(f82(a1),x66362),a102))),f329(f329(f23(a905),f329(a117,x66361)),f329(f108(a905),x66362)))+~P1(f329(f329(f240(a1),a85),x66362)) % 166.45/166.22 [6718]E(x67181,f2(a905))+E(f329(a117,f329(f329(f82(a905),f329(f329(f23(a905),x67181),f80(a905))),x67182)),f329(f329(f82(a905),x67181),x67182)) % 166.45/166.22 [6757]E(x67571,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67571)),x67572))) % 166.45/166.22 [6773]~E(x67732,f2(a905))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67731)),x67732))) % 166.45/166.22 [6811]E(x68111,f2(a905))+E(f329(f329(f82(a905),x68112),f329(f329(f83(a905),f329(f329(f23(a905),x68111),f80(a905))),x68112)),f329(f329(f83(a905),x68111),x68112)) % 166.45/166.22 [6856]~P1(f329(f329(f239(a1),x68561),x68562))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68561),a102)),x68562)) % 166.45/166.22 [6982]E(f329(f329(f154(a905),x69821),f142(a905,f329(f304(a905,f329(a117,x69821)),x69822))),f142(a905,f329(f304(a905,x69821),x69822)))+~P1(f329(f329(f240(a905),x69821),x69822)) % 166.45/166.22 [7181]E(x71811,x71812)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x71811),x71811)),a102),f329(f329(f23(a1),f329(f329(f82(a1),x71812),x71812)),a102)) % 166.45/166.22 [7184]E(x71841,f118(x71842))+E(f271(x71842,f329(f329(f157(x71842,f912(a104,x71842)),f329(f257(a104,x71842),f80(a104))),x71841)),f278(x71842,x71841)) % 166.45/166.22 [7420]P1(f329(f329(f239(a1),x74201),x74202))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74201),a102)),x74202)) % 166.45/166.22 [7899]~P1(f329(f329(f240(a905),x78991),x78992))+P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x78991),x78992)),a245)) % 166.45/166.22 [8129]~P1(f329(f329(f240(a104),f2(a104)),x81291))+P1(f329(f329(f240(a104),f329(f256(a104,f912(a104,a104)),f329(f272(x81291),x81292))),x81291)) % 166.45/166.22 [8396]~P38(x83961,x83962)+P38(x83961,f329(f329(f115(f913(f912(x83961,x83961),a900)),x83962),f309(x83961,f191(f913(f912(x83961,x83961),a900))))) % 166.45/166.22 [8397]~P39(x83971,x83972)+P39(x83971,f329(f329(f115(f913(f912(x83971,x83971),a900)),x83972),f309(x83971,f191(f913(f912(x83971,x83971),a900))))) % 166.45/166.22 [8447]~P89(x84471)+P1(f329(f329(f239(x84471),f329(f77(x84471),f329(f168(x84471),x84472))),f329(f168(x84471),f329(f329(f157(x84471,x84471),f77(x84471)),x84472)))) % 166.45/166.22 [8471]P1(f329(f329(f240(a905),x84711),x84712))+~P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),x84711),x84712)),a245)) % 166.45/166.22 [8633]E(f329(f329(f257(x86331,x86331),f618(x86332,x86331)),f618(x86332,x86331)),x86332)+~P1(f329(f329(f331(f912(x86331,x86331)),x86332),f309(x86331,f191(f913(f912(x86331,x86331),a900))))) % 166.45/166.22 [8675]E(f329(f304(a905,x86751),f329(f329(f82(a905),x86751),f329(f37(a905),x86752))),x86752)+~P1(f329(f329(f239(f913(a905,a900)),x86752),f329(f304(a905,x86751),f329(f329(f82(a905),x86751),f329(f37(a905),x86752))))) % 166.45/166.22 [8889]P39(x88891,x88892)+~P39(x88891,f329(f329(f115(f913(f912(x88891,x88891),a900)),x88892),f309(x88891,f191(f913(f912(x88891,x88891),a900))))) % 166.45/166.22 [9013]E(f329(f329(f38(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x90131),x90131)),a102))),f329(f108(a1),f329(f329(f82(a1),x90132),x90132))),f329(f329(f38(a1),f329(f108(a1),x90131)),f329(f108(a1),x90132)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x90132))) % 166.45/166.22 [9108]~P38(x91081,x91082)+P1(f329(f329(f239(f913(f912(x91081,x91081),a900)),f329(f329(f291(x91081,x91081,x91081),x91082),x91082)),x91082)) % 166.45/166.22 [9135]E(f180(f906(x91351),f329(f329(f8(a900,a900,f906(x91351)),a324),f329(f329(f7(f906(x91351),f906(x91351),a900),a326),f118(x91351))),x91352),f182(x91351,f182(x91351,x91352)))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x91351),a905),f192(f906(x91351))),x91352))) % 166.45/166.22 [9138]E(f329(f329(f38(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91381),x91381)),a102))),f329(f108(a1),f329(f329(f82(a1),x91382),x91382))),f329(f329(f38(a1),f329(f329(f82(a1),f329(f108(a1),x91381)),f80(a1))),f329(f108(a1),x91382)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x91382))) % 166.45/166.22 [9982]P1(f329(a196,x99822))+E(f329(f329(f88(a1,a905),f329(f329(f23(a1),x99821),x99822)),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f2(a905))),a109)),f329(f329(f23(a905),f329(a109,x99821)),f329(a109,x99822))) % 166.45/166.22 [9990]E(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x99901),f329(f81(a1),x99902)))),f329(f329(f18(a1,a905,a905),f329(f329(f7(a1,a905,f913(a905,a905)),f329(f329(f8(a900,f913(a905,f913(a905,a905)),a1),f99(a905)),a196)),f2(a905))),a109)),f329(f329(f23(a905),f329(f108(a905),x99901)),f329(f108(a905),x99902)))+P1(f329(f329(f240(a1),x99902),a85)) % 166.45/166.22 [9991]~P26(x99911,x99912)+P1(f329(f329(f239(f913(f912(x99911,x99911),a900)),f329(f329(f291(x99911,x99911,x99911),f329(f256(f913(f912(x99911,x99911),a900),f913(f912(x99911,x99911),a900)),x99912)),f329(f261(f913(f912(x99911,x99911),a900),f913(f912(x99911,x99911),a900)),x99912))),f329(f256(f913(f912(x99911,x99911),a900),f913(f912(x99911,x99911),a900)),x99912))) % 166.45/166.22 [10047]~E(f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,f913(a905,a900),a900),f331(a905)),x100471))),f329(f329(f7(a905,a905,a900),f240(a905)),f329(a117,x100472))))),f2(a905))+~P1(f329(f329(f331(a905),f2(a905)),x100471)) % 166.45/166.22 [10102]E(f47(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101021),x101021)),a102)),f329(f108(a1),f329(f329(f82(a1),x101022),x101022))),f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a1,f329(f108(a1),x101021),f329(f108(a1),x101022)))),f80(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101022))) % 166.45/166.22 [10111]E(f47(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101111),x101111)),a102)),f329(f108(a1),f329(f329(f82(a1),x101112),x101112))),f329(f329(f23(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a1,f329(f329(f82(a1),f329(f108(a1),x101111)),f80(a1)),f329(f108(a1),x101112)))),f80(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101112))) % 166.45/166.22 [10161]~P4(x101611)+E(f39(x101611,f329(f267(x101611),f329(f329(f8(f913(x101611,a900),a900,x101611),f90(x101611)),f329(f329(f8(f913(x101611,a900),f913(x101611,a900),x101611),f329(f18(x101611,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101611),a332),f329(f329(f7(x101611,f913(x101611,a900),a900),f331(x101611)),x101612)))),f239(x101611))))),f40(x101611,x101612)) % 166.45/166.22 [10188]~P37(x101881,x101882)+P62(x101881,f329(f329(f7(x101881,f913(f912(x101881,x101881),a900),f913(x101881,a900)),f329(f329(f8(f913(x101881,f913(f913(f912(x101881,x101881),a900),a900)),f913(f913(f912(x101881,x101881),a900),f913(x101881,a900)),x101881),f7(x101881,f913(f912(x101881,x101881),a900),a900)),f329(f329(f8(f913(x101881,f912(x101881,x101881)),f913(x101881,f913(f913(f912(x101881,x101881),a900),a900)),x101881),f329(f8(f912(x101881,x101881),f913(f913(f912(x101881,x101881),a900),a900),x101881),f331(f912(x101881,x101881)))),f257(x101881,x101881)))),x101882)) % 166.45/166.22 [10189]~P7(x101891,f247(f913(x101891,a900)),x101892)+P6(x101891,f329(f329(f7(x101891,f913(f912(x101891,x101891),a900),f913(x101891,a900)),f329(f329(f8(f913(x101891,f913(f913(f912(x101891,x101891),a900),a900)),f913(f913(f912(x101891,x101891),a900),f913(x101891,a900)),x101891),f7(x101891,f913(f912(x101891,x101891),a900),a900)),f329(f329(f8(f913(x101891,f912(x101891,x101891)),f913(x101891,f913(f913(f912(x101891,x101891),a900),a900)),x101891),f329(f8(f912(x101891,x101891),f913(f913(f912(x101891,x101891),a900),a900),x101891),f331(f912(x101891,x101891)))),f257(x101891,x101891)))),x101892)) % 166.45/166.22 [10233]P37(x102331,x102332)+~P62(x102331,f329(f329(f7(x102331,f913(f912(x102331,x102331),a900),f913(x102331,a900)),f329(f329(f8(f913(x102331,f913(f913(f912(x102331,x102331),a900),a900)),f913(f913(f912(x102331,x102331),a900),f913(x102331,a900)),x102331),f7(x102331,f913(f912(x102331,x102331),a900),a900)),f329(f329(f8(f913(x102331,f912(x102331,x102331)),f913(x102331,f913(f913(f912(x102331,x102331),a900),a900)),x102331),f329(f8(f912(x102331,x102331),f913(f913(f912(x102331,x102331),a900),a900),x102331),f331(f912(x102331,x102331)))),f257(x102331,x102331)))),x102332)) % 166.45/166.22 [10234]P7(x102341,f247(f913(x102341,a900)),x102342)+~P6(x102341,f329(f329(f7(x102341,f913(f912(x102341,x102341),a900),f913(x102341,a900)),f329(f329(f8(f913(x102341,f913(f913(f912(x102341,x102341),a900),a900)),f913(f913(f912(x102341,x102341),a900),f913(x102341,a900)),x102341),f7(x102341,f913(f912(x102341,x102341),a900),a900)),f329(f329(f8(f913(x102341,f912(x102341,x102341)),f913(x102341,f913(f913(f912(x102341,x102341),a900),a900)),x102341),f329(f8(f912(x102341,x102341),f913(f913(f912(x102341,x102341),a900),a900),x102341),f331(f912(x102341,x102341)))),f257(x102341,x102341)))),x102342)) % 166.45/166.22 [7368]E(f329(f329(f82(a905),f329(f108(a905),f329(f329(f23(a1),x73681),a102))),x73682),f329(a117,f329(f329(f82(a905),f329(f108(a905),x73681)),x73682)))+P1(f329(a196,f329(f108(a1),x73681))) % 166.45/166.22 [7814]~P97(x78141)+E(f329(f329(f82(x78141),f329(f329(f82(x78141),f80(x78141)),f329(f108(x78141),x78142))),f329(f108(x78141),x78142)),f329(f108(x78141),f329(f329(f23(a1),f329(f329(f82(a1),x78142),x78142)),a102))) % 166.45/166.22 [8473]~P1(f329(f329(f239(a1),x84731),x84732))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x84731),x84731)),f329(f329(f23(a1),f329(f329(f82(a1),x84732),x84732)),a102))) % 166.45/166.22 [8475]~P1(f329(f329(f239(a1),x84751),x84752))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x84751),x84751)),f329(f329(f23(a1),f329(f329(f82(a1),x84752),x84752)),a102))) % 166.45/166.22 [8900]P1(f329(f329(f239(a1),x89001),x89002))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x89001),x89001)),f329(f329(f23(a1),f329(f329(f82(a1),x89002),x89002)),a102))) % 166.45/166.22 [8902]P1(f329(f329(f239(a1),x89021),x89022))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x89021),x89021)),f329(f329(f23(a1),f329(f329(f82(a1),x89022),x89022)),a102))) % 166.45/166.22 [9196]~P1(f329(f329(f239(a1),x91961),x91962))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91961),x91961)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x91962),x91962)),a102))) % 166.45/166.22 [9198]~P1(f329(f329(f240(a1),x91981),x91982))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91981),x91981)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x91982),x91982)),a102))) % 166.45/166.22 [9471]P1(f329(f329(f239(a1),x94711),x94712))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94711),x94711)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94712),x94712)),a102))) % 166.45/166.22 [9473]P1(f329(f329(f240(a1),x94731),x94732))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94731),x94731)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94732),x94732)),a102))) % 166.45/166.22 [9505]~P1(f329(f63(x95051),x95052))+P1(f329(f63(f913(x95051,a900)),f329(f267(f913(x95051,a900)),f329(f329(f7(f913(x95051,a900),f913(x95051,a900),a900),f239(f913(x95051,a900))),x95052)))) % 166.45/166.22 [9555]~E(f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),x95551),f191(f913(f912(a905,a905),a900)))),f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),x95552),f191(f913(f912(a905,a905),a900)))))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x95551),x95552)),a113)) % 166.45/166.22 [9643]E(f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),x96431),f191(f913(f912(a905,a905),a900)))),f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),x96432),f191(f913(f912(a905,a905),a900)))))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x96431),x96432)),a113)) % 166.45/166.22 [9678]P1(f329(f329(f239(a1),f2(a1)),f662(x96781,x96782)))+E(f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96781)),f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96782))) % 166.45/166.22 [10172]~P4(x101721)+E(f40(x101721,f329(f267(x101721),f329(f329(f8(f913(x101721,a900),a900,x101721),f90(x101721)),f329(f329(f8(f913(x101721,a900),f913(x101721,a900),x101721),f329(f18(x101721,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101721),a332),f329(f329(f7(x101721,f913(x101721,a900),a900),f331(x101721)),x101722)))),f329(f7(x101721,x101721,a900),f239(x101721)))))),f39(x101721,x101722)) % 166.45/166.22 [10194]P1(f329(f329(f331(a905),f2(a905)),x101941))+E(f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),a905),f331(a905)),a117)),x101941))),f329(f329(f7(a905,a905,a900),f240(a905)),x101942)))),f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,f913(a905,a900),a900),f331(a905)),x101941))),f329(f329(f7(a905,a905,a900),f240(a905)),f329(a117,x101942)))))) % 166.45/166.22 [7683]~P97(x76831)+E(f329(f329(f83(x76831),x76832),f329(f108(x76831),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x76832) % 166.45/166.22 [7951]~P97(x79511)+E(f329(f329(f82(x79511),f329(f108(x79511),x79512)),f80(x79511)),f329(f108(x79511),f329(f329(f82(a1),x79512),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))) % 166.45/166.22 [8098]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x80982)))+E(f329(f329(f249(a1),x80981),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x80982),x80982)),a102))),f80(a1)) % 166.45/166.22 [9529]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x95292)))+E(f329(f329(f249(a1),x95291),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x95292),x95292)),a102))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x95291),f329(f108(a905),x95292))),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f913(a1,a1),a1),f83(a1)),f329(f83(a1),x95291))),f5(a1)))) % 166.45/166.22 [9903]~P1(f329(f329(f239(a905),f675(x99032,x99031)),f329(x99031,f675(x99032,x99031))))+P1(f329(f63(a905),f329(f267(a905),f329(f329(f7(a905,a905,a900),f329(f329(f8(a905,f913(a905,a900),a905),f239(a905)),x99031)),x99032)))) % 166.45/166.22 [10037]~P1(f329(f329(f239(a905),f329(f108(a905),x100371)),f329(a117,x100372)))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x100371),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),f239(a905)),a109)),x100372)))) % 166.45/166.22 [10038]~P1(f329(f329(f240(a905),f329(f108(a905),x100381)),f329(a117,x100382)))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x100381),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),f240(a905)),a109)),x100382)))) % 166.45/166.22 [10086]P1(f329(f329(f239(a905),f329(f108(a905),x100861)),f329(a117,x100862)))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x100861),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),f239(a905)),a109)),x100862)))) % 166.45/166.22 [10087]P1(f329(f329(f240(a905),f329(f108(a905),x100871)),f329(a117,x100872)))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x100871),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),f240(a905)),a109)),x100872)))) % 166.45/166.22 [10117]~P1(f329(f329(f239(a905),f329(a117,x101172)),f329(f108(a905),x101171)))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101171),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f8(a905,a900,a1),f329(f239(a905),x101172)),a109))))) % 166.45/166.22 [10118]~P1(f329(f329(f240(a905),f329(a117,x101182)),f329(f108(a905),x101181)))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101181),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f8(a905,a900,a1),f329(f240(a905),x101182)),a109))))) % 166.45/166.22 [10159]P1(f329(f329(f239(a905),f329(a117,x101591)),f329(f108(a905),x101592)))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101592),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f8(a905,a900,a1),f329(f239(a905),x101591)),a109))))) % 166.45/166.22 [10160]P1(f329(f329(f240(a905),f329(a117,x101601)),f329(f108(a905),x101602)))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101602),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f8(a905,a900,a1),f329(f240(a905),x101601)),a109))))) % 166.45/166.22 [10243]~P1(f329(f329(f331(a905),f2(a905)),x102431))+E(f329(a117,f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,f913(a905,a900),a900),f329(f329(f8(a905,f913(f913(a905,a900),a900),a905),f331(a905)),a117)),x102431))),f329(f329(f7(a905,a905,a900),f240(a905)),x102432))))),f329(f37(a905),f329(f267(a905),f329(f329(f18(a905,a900,a900),f329(f329(f8(a900,f913(a900,a900),a905),a327),f329(f329(f7(a905,f913(a905,a900),a900),f331(a905)),x102431))),f329(f329(f7(a905,a905,a900),f240(a905)),f329(a117,x102432)))))) % 166.45/166.22 [8659]~P97(x86591)+E(f329(f329(f83(x86591),f329(f108(x86591),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x86592),x86592) % 166.45/166.22 [8718]~P97(x87181)+E(f329(f329(f82(x87181),f80(x87181)),f329(f108(x87181),x87182)),f329(f108(x87181),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x87182))) % 166.45/166.22 [8777]~P97(x87771)+E(f329(f329(f23(x87771),f329(f108(x87771),x87772)),f80(x87771)),f329(f108(x87771),f329(f329(f82(a1),x87772),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [8917]~P1(f329(f329(f240(a905),f329(f108(a905),a85)),x89172))+E(f329(f329(f23(a905),x89171),f329(f329(f23(a905),x89172),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f23(a905),f329(a117,x89171)),x89172)) % 166.45/166.22 [9573]~P118(x95731)+E(f329(f329(f83(x95731),x95732),x95732),f329(f329(f249(x95731),x95732),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [9574]~P86(x95741)+E(f329(f329(f249(x95741),x95742),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f83(x95741),x95742),x95742)) % 166.45/166.22 [9576]~P97(x95761)+E(f329(f329(f83(x95761),x95762),f329(f108(x95761),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f82(x95761),x95762),x95762)) % 166.45/166.22 [9819]~P117(x98191)+E(f329(f329(f249(x98191),f329(f77(x98191),x98192)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x98191),x98192),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [9820]~P142(x98201)+E(f329(f329(f249(x98201),f329(f81(x98201),x98202)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x98201),x98202),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [9816]~P97(x98161)+E(f329(f329(f83(x98161),f329(f108(x98161),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x98162),f329(f329(f82(x98161),x98162),x98162)) % 166.45/166.22 [9937]~P117(x99371)+E(f329(f77(x99371),f329(f329(f249(x99371),x99372),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x99371),x99372),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [9998]~P117(x99981)+P1(f329(f329(f239(x99981),f2(x99981)),f329(f329(f249(x99981),x99982),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.22 [10150]~E(f329(a117,x101502),f329(f108(a905),x101501))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101501),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),a326),a109)),x101502))))) % 166.45/166.22 [10151]~E(f329(f108(a905),x101511),f329(a117,x101512))+P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101511),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),a326),a109)),x101512))))) % 166.45/166.22 [10197]E(f329(a117,x101971),f329(f108(a905),x101972))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101972),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),a326),a109)),x101971))))) % 166.45/166.22 [10198]E(f329(f108(a905),x101981),f329(a117,x101982))+~P1(f329(f329(f88(a1,a900),f329(f108(a1),f329(f329(f82(a1),x101981),a102))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a332),f329(f329(f8(a900,a900,a1),a324),a196))),f329(f329(f7(a1,a905,a900),f329(f329(f8(a905,f913(a905,a900),a1),a326),a109)),x101982))))) % 166.45/166.22 [10244]~P14(x102441,x102442)+P1(f329(f329(f331(f913(x102441,a900)),f835(x102442,x102441)),f329(f329(f8(f913(x102441,a900),a900,f913(x102441,a900)),f89(x102441)),f329(f329(f8(f913(x102441,a900),f913(x102441,a900),f913(x102441,a900)),f329(f18(x102441,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102441),a327),f329(f329(f18(x102441,x102441,a900),x102442),f5(x102441))))),f329(f329(f7(f913(x102441,a900),f913(x102441,f913(x102441,a900)),f913(x102441,a900)),f329(f329(f8(f913(f913(x102441,a900),a900),f913(f913(x102441,f913(x102441,a900)),f913(x102441,a900)),f913(x102441,a900)),f8(f913(x102441,a900),a900,x102441)),a326)),x102442))))) % 166.45/166.22 [9996]~P97(x99961)+E(f329(f329(f249(x99961),f329(f108(x99961),a102)),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x99962)),f80(x99961)) % 166.45/166.22 [9997]~P142(x99971)+E(f329(f329(f249(x99971),f329(f81(x99971),f80(x99971))),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x99972)),f80(x99971)) % 166.45/166.22 [10000]~P86(x100001)+E(f329(f329(f249(x100001),x100002),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),f329(f329(f83(x100001),f329(f329(f83(x100001),x100002),x100002)),x100002)) % 166.45/166.22 [10177]~P1(f329(f329(f239(a1),f2(a1)),x101772))+E(f47(a1,f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101771)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101772)),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a1,x101771,x101772)))) % 166.45/166.22 [10200]~P1(f329(f329(f239(a1),f2(a1)),x102002))+E(f329(f329(f38(a1),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102001))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102002)),f329(f329(f38(a1),x102001),x102002)) % 166.45/166.22 [10202]~P1(f329(f329(f239(a1),x102022),f2(a1)))+E(f329(f329(f38(a1),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102021))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102022)),f329(f329(f38(a1),f329(f329(f82(a1),x102021),f80(a1))),x102022)) % 166.45/166.22 [10203]~P1(f329(f329(f239(a1),x102032),f2(a1)))+E(f47(a1,f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102031)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102032)),f329(f329(f23(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f47(a1,f329(f329(f82(a1),x102031),f80(a1)),x102032))),f80(a1))) % 166.45/166.22 [10077]~P97(x100771)+E(f329(f329(f249(x100771),f329(f108(x100771),a102)),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100772))),f329(f108(x100771),a102)) % 166.45/166.22 [10079]~P142(x100791)+E(f329(f329(f249(x100791),f329(f81(x100791),f80(x100791))),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100792))),f329(f81(x100791),f80(x100791))) % 166.45/166.22 [5038]P38(x50381,x50382)+~P7(x50381,x50383,x50382) % 166.45/166.22 [5040]P54(x50401,x50402)+~P7(x50401,x50403,x50402) % 166.45/166.22 [5213]~P7(x52131,x52132,x52133)+P55(x52131,x52132,x52133) % 166.45/166.22 [6227]E(x62271,x62272)+~P42(a25,x62271,x62273,x62272) % 166.45/166.22 [8172]~E(x81722,x81723)+P34(x81721,x81721,a326,x81722,x81723) % 166.45/166.22 [8731]E(x87311,x87312)+~P34(x87313,x87313,a326,x87311,x87312) % 166.45/166.22 [4845]E(f172(x48451,x48452,x48453),f118(x48451))+~E(x48452,f2(a905)) % 166.45/166.22 [5013]~E(f172(x50132,x50131,x50133),f118(x50132))+E(x50131,f2(a905)) % 166.45/166.22 [5218]~P37(x52181,x52183)+P37(x52181,f323(x52181,x52182,x52183)) % 166.45/166.22 [5329]~P30(x53291,x53292,x53293)+P31(a1,x53291,f181(x53292,x53293)) % 166.45/166.22 [5384]P27(x53841,x53842,x53843)+~P27(x53841,f329(a117,x53842),x53843) % 166.45/166.22 [5402]P30(x54021,x54022,x54023)+~P31(a1,x54021,f181(x54022,x54023)) % 166.45/166.22 [5472]~P7(x54721,x54722,x54723)+P7(f906(x54721),f164(x54721,x54722),f161(x54721,x54723)) % 166.45/166.22 [5473]~P55(x54731,x54732,x54733)+P55(f906(x54731),f164(x54731,x54732),f161(x54731,x54733)) % 166.45/166.22 [5582]P58(x55821,x55822,x55823)+~E(f587(x55823,x55822,x55821),f588(x55823,x55822,x55821)) % 166.45/166.22 [5583]P57(x55831,x55832,x55833)+~E(f599(x55833,x55832,x55831),f600(x55833,x55832,x55831)) % 166.45/166.22 [6539]P28(x65391,x65392,x65393)+~P27(x65391,f568(x65393,x65392,x65391),f582(x65393,x65392,x65391)) % 166.45/166.22 [4800]~E(f329(f171(x48002),x48001),x48003)+E(x48001,f329(f171(x48002),x48003)) % 166.45/166.22 [4801]~E(x48012,f329(f171(x48011),x48013))+E(f329(f171(x48011),x48012),x48013) % 166.45/166.22 [4851]E(x48511,x48512)+~E(f329(f171(x48513),x48511),f329(f171(x48513),x48512)) % 166.45/166.22 [5064]~P6(x50643,x50641)+P1(f329(f329(x50641,x50642),x50642)) % 166.45/166.22 [5065]~P50(x50653,x50651)+P1(f329(f329(x50651,x50652),x50652)) % 166.45/166.22 [5067]~P62(x50671,x50672)+P1(f329(f317(x50671,x50672),x50673)) % 166.45/166.22 [5131]~P37(x51311,x51312)+P37(f906(x51311),f329(f146(x51311,x51312),x51313)) % 166.45/166.22 [5136]~P1(f329(x51362,x51363))+~E(f329(f267(x51361),x51362),f191(f913(x51361,a900))) % 166.45/166.22 [5137]~P1(f329(x51372,x51373))+~E(f191(f913(x51371,a900)),f329(f267(x51371),x51372)) % 166.45/166.22 [5149]E(x51491,f2(a905))+E(f147(x51492,f172(x51492,x51491,x51493)),x51493) % 166.45/166.22 [5167]~P1(f329(x51671,x51673))+P1(f329(x51671,f92(x51672,x51671))) % 166.45/166.22 [5168]~P1(f329(x51681,x51683))+P1(f329(x51681,f760(x51681,x51682))) % 166.45/166.22 [5180]E(x51801,f2(a905))+E(f329(f144(x51802),f172(x51802,x51801,x51803)),x51803) % 166.45/166.22 [5292]~E(x52922,x52923)+P1(f329(f329(f331(x52921),x52922),f329(a326,x52923))) % 166.45/166.22 [5307]~E(x53072,f2(a905))+E(f329(f175(x53071),f172(x53071,x53072,x53073)),f191(f913(x53071,a900))) % 166.45/166.22 [5351]E(f329(f171(x53511),x53512),f329(f329(f154(x53511),x53513),f118(x53511)))+~E(x53512,f329(f329(f154(x53511),x53513),f118(x53511))) % 166.45/166.22 [5352]~E(x53523,f329(f329(f154(x53521),x53522),f118(x53521)))+E(f329(f329(f154(x53521),x53522),f118(x53521)),f329(f171(x53521),x53523)) % 166.45/166.22 [5398]~P33(x53981,x53982,x53983)+P33(x53981,x53982,f329(f171(x53981),x53983)) % 166.45/166.22 [5399]~P31(x53991,x53992,x53993)+P31(x53991,x53992,f329(f171(x53991),x53993)) % 166.45/166.22 [5403]E(f329(f37(x54031),f840(x54032,x54033,x54031)),x54032)+~E(f329(f37(x54031),x54033),f329(a117,x54032)) % 166.45/166.22 [5410]~P37(x54101,x54103)+P1(f329(f329(f331(x54101),x54102),f318(x54101,x54103))) % 166.45/166.22 [5414]~E(f329(f171(x54142),x54141),f329(f329(f154(x54142),x54143),f118(x54142)))+E(x54141,f329(f329(f154(x54142),x54143),f118(x54142))) % 166.45/166.22 [5415]~E(f329(f329(f154(x54152),x54153),f118(x54152)),f329(f171(x54152),x54151))+E(x54151,f329(f329(f154(x54152),x54153),f118(x54152))) % 166.45/166.22 [5438]E(f87(f912(a905,a905),f50(x54381,x54382)),x54383)+~P1(f329(f50(x54381,x54382),x54383)) % 166.45/166.22 [5476]P33(x54761,x54762,x54763)+~P33(x54761,x54762,f329(f171(x54761),x54763)) % 166.45/166.22 [5477]P31(x54771,x54772,x54773)+~P31(x54771,x54772,f329(f171(x54771),x54773)) % 166.45/166.22 [5536]~E(x55362,f118(x55361))+P1(f329(f329(f331(f906(x55361)),x55362),f164(x55361,x55363))) % 166.45/166.22 [5545]~P55(x55451,x55452,x55453)+P55(x55451,x55452,f329(f289(x55451,x55451),x55453)) % 166.45/166.22 [5546]~P58(x55461,x55462,x55463)+P58(x55461,x55462,f329(f289(x55461,x55461),x55463)) % 166.45/166.22 [5563]~P63(x55631)+E(f47(x55631,f47(x55631,x55632,x55633),x55633),f47(x55631,x55632,x55633)) % 166.45/166.22 [5664]E(x56641,x56642)+~P1(f329(f329(f331(x56643),x56641),f329(a326,x56642))) % 166.45/166.22 [5710]~P147(x57101)+E(f193(x57101,x57102,f2(a905),x57103),x57103) % 166.45/166.22 [5732]P55(x57321,x57322,x57323)+~P55(x57321,x57322,f329(f289(x57321,x57321),x57323)) % 166.45/166.22 [5733]P58(x57331,x57332,x57333)+~P58(x57331,x57332,f329(f289(x57331,x57331),x57333)) % 166.45/166.22 [5737]~P105(x57372)+E(f153(x57371,x57372,x57373,f118(x57371)),f118(x57371)) % 166.45/166.22 [5750]E(f173(x57501,x57502,f155(x57501,x57503)),f155(x57501,f173(x57501,x57502,x57503)))+~P1(f329(f140(x57501),x57503)) % 166.45/166.22 [5850]E(f329(f139(x58501,x58502),x58503),f118(x58501))+P1(f329(x58502,f711(x58503,x58502,x58501))) % 166.45/166.22 [5908]E(f70(x59081,x59082,x59083),x59082)+P1(f329(x59083,f761(x59082,x59081,x59083))) % 166.45/166.22 [6002]~P1(f329(f140(x60021),x60022))+P1(f329(f140(x60021),f179(x60021,x60022,x60023))) % 166.45/166.22 [6003]~P1(f329(f140(x60031),x60033))+P1(f329(f140(x60031),f173(x60031,x60032,x60033))) % 166.45/166.22 [6004]~P1(f329(f140(x60041),x60043))+P1(f329(f140(x60041),f180(x60041,x60042,x60043))) % 166.45/166.22 [6005]~P1(f329(f140(x60051),x60053))+P1(f329(f140(x60051),f143(x60051,x60052,x60053))) % 166.45/166.22 [6006]~P149(x60061,x60062,x60063)+P1(f329(x60061,f47(a1,x60062,x60063))) % 166.45/166.22 [6022]~P33(x60223,x60221,x60222)+P1(f329(x60221,f763(x60222,x60221,x60223))) % 166.45/166.22 [6023]~P35(x60233,x60231,x60232)+P1(f329(x60231,f781(x60232,x60231,x60233))) % 166.45/166.22 [6024]~P35(x60243,x60241,x60242)+P1(f329(x60241,f792(x60242,x60241,x60243))) % 166.45/166.22 [6025]~P33(x60253,x60251,x60252)+P1(f329(x60251,f817(x60251,x60252,x60253))) % 166.45/166.22 [6026]~P33(x60263,x60261,x60262)+P1(f329(x60261,f819(x60262,x60261,x60263))) % 166.45/166.22 [6045]E(f329(f139(x60451,x60452),x60453),f180(x60451,x60452,x60453))+P1(f329(x60452,f747(x60453,x60452,x60451))) % 166.45/166.22 [6088]~P1(f329(f140(x60881),x60883))+P1(f329(f140(f906(x60881)),f57(x60881,x60882,x60883))) % 166.45/166.22 [6122]~P112(x61221)+E(f329(f329(f106(f913(x61221,a900)),f329(f285(x61221),x61222)),f305(x61221,x61222,x61223)),f191(f913(x61221,a900))) % 166.45/166.22 [6123]~P112(x61231)+E(f329(f329(f106(f913(x61231,a900)),f329(f303(x61231),x61232)),f307(x61231,x61232,x61233)),f191(f913(x61231,a900))) % 166.45/166.22 [6124]~P112(x61241)+E(f329(f329(f106(f913(x61241,a900)),f329(f303(x61241),x61242)),f308(x61241,x61242,x61243)),f191(f913(x61241,a900))) % 166.45/166.22 [6353]E(f329(f139(x63531,x63532),x63533),x63533)+~P1(f329(x63532,f729(x63533,x63532,x63531))) % 166.45/166.22 [6355]E(f329(f329(f311(x63551),f880(x63552,x63553,x63551)),f840(x63552,x63553,x63551)),x63553)+~E(f329(f37(x63551),x63553),f329(a117,x63552)) % 166.45/166.22 [6370]P149(x63701,x63702,x63703)+~P1(f329(x63701,f47(a1,x63702,x63703))) % 166.45/166.22 [6419]P31(x64191,x64192,x64193)+~P1(f329(x64192,f782(x64193,x64192,x64191))) % 166.45/166.22 [6420]P31(x64201,x64202,x64203)+~P1(f329(x64202,f789(x64202,x64203,x64201))) % 166.45/166.22 [6421]P31(x64211,x64212,x64213)+~P1(f329(x64212,f790(x64213,x64212,x64211))) % 166.45/166.22 [6422]P30(x64221,x64222,x64223)+~P1(f329(x64221,f803(x64223,x64222,x64221))) % 166.45/166.22 [6424]E(f180(x64241,x64242,x64243),x64243)+~P1(f329(x64242,f742(x64243,x64242,x64241))) % 166.45/166.22 [6507]~P1(f329(x65072,f569(x65073,x65072,x65071)))+P1(f329(f253(x65071,x65072),x65073)) % 166.45/166.22 [6508]~P1(f329(x65082,f712(x65083,x65082,x65081)))+P1(f329(f163(x65081,x65082),x65083)) % 166.45/166.22 [6758]~P1(f329(f317(x67581,x67582),f495(x67583,x67582,x67581)))+P1(f329(f317(x67581,x67582),x67583)) % 166.45/166.22 [6759]~P1(f329(f317(x67591,x67592),f508(x67593,x67592,x67591)))+P1(f329(f317(x67591,x67592),x67593)) % 166.45/166.22 [7369]~P63(x73691)+E(f329(f329(f82(x73691),f329(f329(f83(x73691),x73692),f329(f329(f38(x73691),x73693),x73692))),f47(x73691,x73693,x73692)),x73693) % 166.45/166.22 [7398]P30(x73981,x73982,x73983)+P1(f329(f329(f331(a1),f803(x73983,x73982,x73981)),f305(a1,x73982,x73983))) % 166.45/166.22 [7836]E(f329(f329(f257(x78361,x78361),f524(x78362,x78363,x78361)),f524(x78362,x78363,x78361)),x78363)+~P1(f329(f329(f331(f912(x78361,x78361)),x78363),f268(x78361,x78362))) % 166.45/166.22 [7959]~P1(f329(f329(f331(x79591),f528(x79593,x79592,x79591)),f318(x79591,x79593)))+P1(f329(f329(f331(x79591),x79592),f318(x79591,x79593))) % 166.45/166.22 [7960]~P1(f329(f329(f331(x79601),f589(x79603,x79602,x79601)),f318(x79601,x79603)))+P1(f329(f329(f331(x79601),x79602),f318(x79601,x79603))) % 166.45/166.22 [7961]~P1(f329(f329(f331(x79611),f591(x79613,x79612,x79611)),f318(x79611,x79613)))+P1(f329(f329(f331(x79611),x79612),f318(x79611,x79613))) % 166.45/166.22 [8055]P33(a1,x80551,f181(x80552,x80553))+P30(f329(f74(a900,a900,a1,a324),x80551),x80552,x80553) % 166.45/166.22 [8153]~P63(x81531)+E(f329(f329(f82(x81531),f329(f329(f83(x81531),f329(f329(f38(x81531),x81532),x81533)),x81533)),f47(x81531,x81532,x81533)),x81532) % 166.45/166.22 [8200]~E(f329(f37(x82001),x82002),f329(a117,x82003))+~P1(f329(f329(f331(x82001),f880(x82003,x82002,x82001)),f840(x82003,x82002,x82001))) % 166.45/166.22 [8651]~P33(a1,x86511,f181(x86512,x86513))+~P30(f329(f74(a900,a900,a1,a324),x86511),x86512,x86513) % 166.45/166.22 [8827]P1(f329(f329(f239(f913(f912(x88271,x88271),a900)),f309(x88271,x88272)),f309(x88271,x88273)))+~P1(f329(f329(f239(f913(f912(x88271,x88271),a900)),x88272),f309(x88271,x88273))) % 166.45/166.22 [9104]E(x91041,f118(x91042))+~P1(f329(f329(f331(f912(f906(x91042),f906(x91042))),f329(f329(f257(f906(x91042),f906(x91042)),x91041),f118(x91042))),f161(x91042,x91043))) % 166.45/166.22 [9129]E(x91291,f118(x91292))+~P1(f329(f329(f331(f912(f906(x91292),f906(x91292))),f329(f329(f257(f906(x91292),f906(x91292)),f118(x91292)),x91291)),f161(x91292,x91293))) % 166.45/166.22 [9263]E(f329(f329(f154(x92631),f715(x92632,x92633,x92631)),f716(x92632,x92633,x92631)),x92633)+~P1(f329(f329(f331(f912(f906(x92631),f906(x92631))),f329(f329(f257(f906(x92631),f906(x92631)),f118(x92631)),x92633)),f150(x92631,x92632))) % 166.45/166.22 [9498]~P128(x94981)+~P1(f329(f329(f240(x94981),f329(f329(f82(x94981),f329(f329(f83(x94981),x94982),x94982)),f329(f329(f83(x94981),x94983),x94983))),f2(x94981))) % 166.45/166.22 [9548]P1(f329(f63(x95481),x95482))+~P1(f329(f329(f331(f912(f913(x95481,a900),f913(x95481,a900))),f329(f329(f257(f913(x95481,a900),f913(x95481,a900)),x95483),x95482)),f316(x95481))) % 166.45/166.22 [9845]~P48(x98451,x98452,x98453)+P1(f329(f329(f239(a1),f329(f329(f74(f912(a1,a1),a1,x98451,f256(a1,a1)),f216(x98451)),f234(x98451,x98452,f231(x98451,x98453)))),f2(a1))) % 166.45/166.22 [9846]~P49(x98461,x98462,x98463)+P1(f329(f329(f240(a1),f329(f329(f74(f912(a1,a1),a1,x98461,f256(a1,a1)),f216(x98461)),f234(x98461,x98462,f231(x98461,x98463)))),f2(a1))) % 166.45/166.22 [9966]P49(x99661,x99662,x99663)+~P1(f329(f329(f240(a1),f329(f329(f74(f912(a1,a1),a1,x99661,f256(a1,a1)),f216(x99661)),f234(x99661,x99662,f231(x99661,x99663)))),f2(a1))) % 166.45/166.22 [9967]P48(x99671,x99672,x99673)+~P1(f329(f329(f239(a1),f329(f329(f74(f912(a1,a1),a1,x99671,f256(a1,a1)),f216(x99671)),f234(x99671,x99672,f231(x99671,x99673)))),f2(a1))) % 166.45/166.22 [10298]~P117(x102981)+~P1(f329(f329(f240(x102981),f329(f329(f82(x102981),f329(f329(f249(x102981),x102982),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102981),x102983),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x102981))) % 166.45/166.22 [4830]~E(x48303,f118(x48301))+E(f329(f329(f137(x48301),x48302),x48303),x48302) % 166.45/166.22 [4831]~E(x48312,f118(x48311))+E(f329(f329(f137(x48311),x48312),x48313),x48313) % 166.45/166.22 [4837]~E(x48372,f2(a905))+E(f329(f329(f178(x48371),x48372),x48373),f118(x48371)) % 166.45/166.22 [4846]~E(x48463,f118(x48461))+E(f329(f329(f178(x48461),x48462),x48463),f118(x48461)) % 166.45/166.22 [4885]~E(x48851,x48853)+E(x48851,f329(f329(f137(x48852),f118(x48852)),x48853)) % 166.45/166.22 [4976]~P108(x49762)+E(f329(f191(f913(x49761,x49762)),x49763),f191(x49762)) % 166.45/166.22 [4977]~P115(x49772)+E(f329(f247(f913(x49771,x49772)),x49773),f247(x49772)) % 166.45/166.22 [4995]E(x49951,f118(x49952))+~E(f329(f329(f137(x49952),x49953),x49951),x49953) % 166.45/166.22 [4996]E(x49961,f118(x49962))+~E(f329(f329(f137(x49962),x49961),x49963),x49963) % 166.45/166.22 [5004]E(x50041,f118(x50042))+~E(f329(f329(f137(x50042),x50043),x50041),f118(x50042)) % 166.45/166.22 [5005]E(x50051,f118(x50052))+~E(f329(f329(f137(x50052),x50051),x50053),f118(x50052)) % 166.45/166.22 [5030]~E(x50302,f2(a905))+E(f329(f329(f83(a905),x50301),x50302),f329(f329(f83(a905),x50303),x50302)) % 166.45/166.22 [5032]~E(x50321,f2(a905))+E(f329(f329(f83(a905),x50321),x50322),f329(f329(f83(a905),x50321),x50323)) % 166.45/166.22 [5090]~P2(x50901)+E(f329(f329(f115(x50901),x50902),x50903),f329(f329(f115(x50901),x50903),x50902)) % 166.45/166.22 [5092]~P106(x50921)+E(f329(f329(f115(x50921),x50922),x50923),f329(f329(f115(x50921),x50923),x50922)) % 166.45/166.22 [5093]~P2(x50931)+E(f329(f329(f106(x50931),x50932),x50933),f329(f329(f106(x50931),x50933),x50932)) % 166.45/166.22 [5095]~P107(x50951)+E(f329(f329(f106(x50951),x50952),x50953),f329(f329(f106(x50951),x50953),x50952)) % 166.45/166.22 [5096]~P118(x50961)+E(f329(f329(f82(x50961),x50962),x50963),f329(f329(f82(x50961),x50963),x50962)) % 166.45/166.22 [5097]~P118(x50971)+E(f329(f329(f83(x50971),x50972),x50973),f329(f329(f83(x50971),x50973),x50972)) % 166.45/166.22 [5099]~P105(x50991)+E(f329(f329(f237(x50991),x50992),x50993),f329(f329(f237(x50991),x50993),x50992)) % 166.45/166.22 [5101]~P105(x51011)+E(f329(f329(f238(x51011),x51012),x51013),f329(f329(f238(x51011),x51013),x51012)) % 166.45/166.22 [5162]E(f47(a905,x51621,x51622),f2(a905))+~E(x51621,f329(f329(f83(a905),x51622),x51623)) % 166.45/166.22 [5163]E(f47(a1,x51631,x51632),f2(a1))+~E(x51631,f329(f329(f83(a1),x51632),x51633)) % 166.45/166.22 [5230]E(x52301,x52302)+~E(f329(f329(f82(a905),x52303),x52301),f329(f329(f82(a905),x52303),x52302)) % 166.45/166.22 [5231]E(x52311,x52312)+~E(f329(f329(f82(a905),x52311),x52313),f329(f329(f82(a905),x52312),x52313)) % 166.45/166.22 [5243]~P99(x52431)+E(f329(f329(f106(x52431),x52432),f329(f81(x52431),x52433)),f329(f329(f23(x52431),x52432),x52433)) % 166.45/166.22 [5244]~P67(x52441)+E(f329(f329(f82(x52441),x52442),f329(f81(x52441),x52443)),f329(f329(f23(x52441),x52442),x52443)) % 166.45/166.22 [5245]~P68(x52451)+E(f329(f329(f82(x52451),x52452),f329(f81(x52451),x52453)),f329(f329(f23(x52451),x52452),x52453)) % 166.45/166.22 [5246]~P120(x52461)+E(f329(f329(f82(x52461),x52462),f329(f81(x52461),x52463)),f329(f329(f23(x52461),x52462),x52463)) % 166.45/166.22 [5247]~P67(x52471)+E(f329(f329(f23(x52471),x52472),f329(f81(x52471),x52473)),f329(f329(f82(x52471),x52472),x52473)) % 166.45/166.22 [5286]~P1(f329(x52863,x52862))+P1(f329(f329(f331(x52861),x52862),x52863)) % 166.45/166.22 [5288]~P74(x52882)+E(f329(f329(f6(x52881,x52882),x52883),f191(f913(x52881,a900))),f2(x52882)) % 166.45/166.22 [5290]~P80(x52902)+E(f329(f329(f9(x52901,x52902),x52903),f191(f913(x52901,a900))),f80(x52902)) % 166.45/166.22 [5341]~E(x53412,f329(f329(f82(a905),x53411),x53413))+P1(f329(f329(f239(a905),x53411),x53412)) % 166.45/166.22 [5344]~E(x53442,f191(f913(x53441,a900)))+E(f329(f329(f62(x53441),x53442),x53443),f191(f913(f913(x53441,a900),a900))) % 166.45/166.22 [5345]~E(x53452,f191(f913(x53451,a900)))+E(f191(f913(f913(x53451,a900),a900)),f329(f329(f62(x53451),x53452),x53453)) % 166.45/166.22 [5418]~E(f329(f287(x54182,x54183),x54181),f191(f913(x54183,a900)))+E(x54181,f191(f913(f912(x54182,x54183),a900))) % 166.45/166.22 [5419]~E(f329(f269(x54192,x54193),x54191),f191(f913(x54192,a900)))+E(x54191,f191(f913(f912(x54192,x54193),a900))) % 166.45/166.22 [5451]E(f329(f287(x54511,x54512),x54513),f191(f913(x54512,a900)))+~E(x54513,f191(f913(f912(x54511,x54512),a900))) % 166.45/166.22 [5452]E(f329(f269(x54521,x54522),x54523),f191(f913(x54521,a900)))+~E(x54523,f191(f913(f912(x54521,x54522),a900))) % 166.45/166.22 [5455]E(f277(x54551,x54552,x54553),f329(f329(f23(a104),x54552),x54553))+P1(f329(f329(f240(a104),x54552),x54553)) % 166.45/166.22 [5470]P1(f329(x54701,x54702))+~P1(f329(f329(f331(x54703),x54702),x54701)) % 166.45/166.22 [5508]E(x55081,x55082)+~E(f329(f81(f913(x55083,a900)),x55081),f329(f81(f913(x55083,a900)),x55082)) % 166.45/166.22 [5517]~E(x55171,f191(f913(x55172,a900)))+~P1(f329(f329(f331(x55172),x55173),x55171)) % 166.45/166.22 [5547]~E(x55472,f329(f329(f82(a1),x55471),f329(f105(a1),x55473)))+P1(f329(f329(f239(a1),x55471),x55472)) % 166.45/166.22 [5561]E(f329(f329(f311(x55611),x55612),x55613),x55613)+~P1(f329(f329(f331(x55611),x55612),x55613)) % 166.45/166.22 [5572]E(x55721,f191(f913(x55722,a900)))+~E(f329(f329(f62(x55722),x55721),x55723),f191(f913(f913(x55722,a900),a900))) % 166.45/166.22 [5573]E(x55731,f191(f913(x55732,a900)))+~E(f191(f913(f913(x55732,a900),a900)),f329(f329(f62(x55732),x55731),x55733)) % 166.45/166.22 [5580]~P116(x55801)+E(f329(f329(f83(x55801),f329(f81(x55801),x55802)),f329(f81(x55801),x55803)),f329(f329(f83(x55801),x55802),x55803)) % 166.45/166.22 [5581]~P70(x55811)+E(f329(f329(f292(x55811),f329(f81(x55811),x55812)),f329(f81(x55811),x55813)),f329(f329(f292(x55811),x55812),x55813)) % 166.45/166.22 [5613]~P1(f329(x56133,x56132))+P1(f329(f329(f331(x56131),x56132),f329(f267(x56131),x56133))) % 166.45/166.22 [5638]E(x56381,f2(a905))+E(f329(f175(x56382),f172(x56382,x56381,x56383)),f329(f329(f311(x56382),x56383),f191(f913(x56382,a900)))) % 166.45/166.22 [5657]E(f173(x56571,x56572,x56573),x56573)+P1(f329(f329(f331(x56571),x56572),f329(f175(x56571),x56573))) % 166.45/166.22 [5741]~P1(f329(f140(x57411),x57413))+P1(f329(f140(x57411),f329(f139(x57411,x57412),x57413))) % 166.45/166.22 [5785]~P63(x57851)+E(f329(f329(f38(x57851),f47(x57851,x57852,x57853)),x57853),f2(x57851)) % 166.45/166.22 [5804]E(f179(x58041,f329(f329(f154(x58041),x58042),f118(x58041)),x58043),f118(x58041))+P1(f329(f329(f331(a905),f2(a905)),x58043)) % 166.45/166.22 [5810]E(x58101,f2(a905))+E(f329(f174(x58102),f172(x58102,x58101,x58103)),f172(x58102,f329(f329(f23(a905),x58101),f80(a905)),x58103)) % 166.45/166.22 [5860]E(f329(f329(f154(x58601),x58602),x58603),f143(x58601,x58602,x58603))+P1(f329(f329(f331(x58601),x58602),f329(f175(x58601),x58603))) % 166.45/166.22 [5869]E(x58691,x58692)+~E(f329(f329(f83(a905),f329(a117,x58693)),x58691),f329(f329(f83(a905),f329(a117,x58693)),x58692)) % 166.45/166.22 [5870]~E(x58702,f329(f329(f82(a1),x58701),f329(f105(a1),f329(a117,x58703))))+P1(f329(f329(f240(a1),x58701),x58702)) % 166.45/166.22 [5983]~E(x59833,f118(x59831))+E(f329(f329(f329(f186(f906(x59831),f906(x59831)),x59832),f170(x59831)),x59833),f118(x59831)) % 166.45/166.22 [5987]P1(f329(x59871,x59872))+~P1(f329(f329(f331(x59873),x59872),f329(f267(x59873),x59871))) % 166.45/166.22 [6017]E(x60171,x60172)+~E(f329(f329(f311(x60173),x60171),f191(f913(x60173,a900))),f329(f329(f311(x60173),x60172),f191(f913(x60173,a900)))) % 166.45/166.22 [6031]~P112(x60311)+E(f329(f329(f106(f913(x60311,a900)),f329(f285(x60311),x60312)),f329(f304(x60311,x60312),x60313)),f191(f913(x60311,a900))) % 166.45/166.22 [6071]E(f143(x60711,x60712,x60713),x60713)+~P1(f329(f329(f331(x60711),x60712),f329(f175(x60711),x60713))) % 166.45/166.22 [6096]~P83(x60961)+E(f329(f312(x60961,x60961,f81(x60961)),f329(f304(x60961,x60962),x60963)),f307(x60961,f329(f81(x60961),x60963),f329(f81(x60961),x60962))) % 166.45/166.22 [6107]E(f329(f192(f906(x61071)),f173(x61071,x61072,x61073)),f329(f192(f906(x61071)),x61073))+P1(f329(f329(f331(x61071),x61072),f329(f175(x61071),x61073))) % 166.45/166.22 [6161]~P112(x61611)+E(f329(f329(f106(f913(x61611,a900)),f329(f304(x61611,x61612),x61613)),f329(f286(x61611),x61613)),f191(f913(x61611,a900))) % 166.45/166.22 [6181]~P83(x61811)+E(f329(f312(x61811,x61811,f81(x61811)),f305(x61811,x61812,x61813)),f305(x61811,f329(f81(x61811),x61813),f329(f81(x61811),x61812))) % 166.45/166.22 [6182]~P83(x61821)+E(f329(f312(x61821,x61821,f81(x61821)),f308(x61821,x61822,x61823)),f308(x61821,f329(f81(x61821),x61823),f329(f81(x61821),x61822))) % 166.45/166.22 [6246]E(f179(x62461,f329(f329(f154(x62461),x62462),f118(x62461)),x62463),f329(f329(f154(x62461),x62462),f118(x62461)))+~P1(f329(f329(f331(a905),f2(a905)),x62463)) % 166.45/166.22 [6253]~P83(x62531)+E(f329(f312(x62531,x62531,f81(x62531)),f307(x62531,x62532,x62533)),f329(f304(x62531,f329(f81(x62531),x62533)),f329(f81(x62531),x62532))) % 166.45/166.22 [6273]~P64(x62731)+E(f47(x62731,f329(f81(x62731),f47(x62731,x62732,x62733)),x62733),f47(x62731,f329(f81(x62731),x62732),x62733)) % 166.45/166.22 [6368]~P1(f329(f63(f912(x63682,x63681)),x63683))+P1(f329(f63(x63681),f329(f287(x63682,x63681),x63683))) % 166.45/166.22 [6369]~P1(f329(f63(f912(x63691,x63692)),x63693))+P1(f329(f63(x63691),f329(f269(x63691,x63692),x63693))) % 166.45/166.22 [6374]~P112(x63741)+E(f329(f329(f106(f913(x63741,a900)),f305(x63741,x63742,x63743)),f329(f306(x63741),x63743)),f191(f913(x63741,a900))) % 166.45/166.22 [6375]~P112(x63751)+E(f329(f329(f106(f913(x63751,a900)),f307(x63751,x63752,x63753)),f329(f306(x63751),x63753)),f191(f913(x63751,a900))) % 166.45/166.22 [6376]~P112(x63761)+E(f329(f329(f106(f913(x63761,a900)),f308(x63761,x63762,x63763)),f329(f286(x63761),x63763)),f191(f913(x63761,a900))) % 166.45/166.22 [6445]E(f329(f329(f167(x64451),x64452),f679(x64452,x64453,x64451)),x64453)+~P1(f329(f329(f331(x64451),x64453),f329(f175(x64451),x64452))) % 166.45/166.22 [6590]E(x65901,f118(x65902))+~E(f329(f329(f329(f186(f906(x65902),f906(x65902)),x65903),f170(x65902)),x65901),f118(x65902)) % 166.45/166.22 [6668]P42(x66681,x66682,f533(x66683,x66682,x66681),x66683)+~P1(f329(f329(f197(x66681),x66682),x66683)) % 166.45/166.22 [6698]~P1(f329(f63(f912(x66982,x66981)),x66983))+P1(f329(f63(f912(x66981,x66982)),f329(f289(x66982,x66981),x66983))) % 166.45/166.22 [6847]P58(x68471,x68472,x68473)+P1(f329(f329(f331(x68471),f588(x68473,x68472,x68471)),x68472)) % 166.45/166.22 [6848]P58(x68481,x68482,x68483)+P1(f329(f329(f331(x68481),f587(x68483,x68482,x68481)),x68482)) % 166.45/166.22 [6859]P1(f329(f317(x68591,x68592),x68593))+P1(f329(f329(x68592,f495(x68593,x68592,x68591)),x68593)) % 166.45/166.22 [6860]P1(f329(f317(x68601,x68602),x68603))+P1(f329(f329(x68602,f508(x68603,x68602,x68601)),x68603)) % 166.45/166.22 [6891]E(f329(f192(f906(x68911)),f173(x68911,x68912,x68913)),f329(f329(f23(a905),f329(f192(f906(x68911)),x68913)),f80(a905)))+~P1(f329(f329(f331(x68911),x68912),f329(f175(x68911),x68913))) % 166.45/166.22 [6930]P1(f329(f253(x69301,x69302),x69303))+P1(f329(f329(f331(x69301),f569(x69303,x69302,x69301)),x69303)) % 166.45/166.22 [6939]~P1(f329(f63(f912(x69392,x69391)),f329(f289(x69391,x69392),x69393)))+P1(f329(f63(f912(x69391,x69392)),x69393)) % 166.45/166.22 [6994]~P1(f329(f329(f331(x69941),x69942),f329(f175(x69941),f119(x69941,x69943))))+P1(f329(f329(f331(x69941),x69942),f329(f175(x69941),x69943))) % 166.45/166.22 [6999]P28(x69991,x69992,x69993)+P1(f329(f329(f331(f904(x69991)),f582(x69993,x69992,x69991)),x69993)) % 166.45/166.22 [7030]E(f329(f139(x70301,x70302),x70303),x70303)+P1(f329(f329(f331(x70301),f729(x70303,x70302,x70301)),f329(f175(x70301),x70303))) % 166.45/166.22 [7044]E(f329(f139(x70441,x70442),x70443),f118(x70441))+P1(f329(f329(f331(x70441),f711(x70443,x70442,x70441)),f329(f175(x70441),x70443))) % 166.45/166.22 [7068]P31(x70681,x70682,x70683)+P1(f329(f329(f331(x70681),f782(x70683,x70682,x70681)),f329(f175(x70681),x70683))) % 166.45/166.22 [7069]P31(x70691,x70692,x70693)+P1(f329(f329(f331(x70691),f790(x70693,x70692,x70691)),f329(f175(x70691),x70693))) % 166.45/166.22 [7070]P31(x70701,x70702,x70703)+P1(f329(f329(f331(x70701),f789(x70702,x70703,x70701)),f329(f175(x70701),x70703))) % 166.45/166.22 [7073]E(f180(x70731,x70732,x70733),x70733)+P1(f329(f329(f331(x70731),f742(x70733,x70732,x70731)),f329(f175(x70731),x70733))) % 166.45/166.22 [7147]P1(f329(f163(x71471,x71472),x71473))+P1(f329(f329(f331(x71471),f712(x71473,x71472,x71471)),f329(f175(x71471),x71473))) % 166.45/166.22 [7156]~P33(x71561,x71563,x71562)+P1(f329(f329(f331(x71561),f763(x71562,x71563,x71561)),f329(f175(x71561),x71562))) % 166.45/166.22 [7157]~P35(x71571,x71573,x71572)+P1(f329(f329(f331(x71571),f781(x71572,x71573,x71571)),f329(f175(x71571),x71572))) % 166.45/166.22 [7158]~P35(x71581,x71583,x71582)+P1(f329(f329(f331(x71581),f792(x71582,x71583,x71581)),f329(f175(x71581),x71582))) % 166.45/166.22 [7159]~P33(x71591,x71592,x71593)+P1(f329(f329(f331(x71591),f817(x71592,x71593,x71591)),f329(f175(x71591),x71593))) % 166.45/166.22 [7160]~P33(x71601,x71603,x71602)+P1(f329(f329(f331(x71601),f819(x71602,x71603,x71601)),f329(f175(x71601),x71602))) % 166.45/166.22 [7194]P1(f329(f329(f331(x71941),x71942),f660(x71943,x71942,x71941)))+~P1(f329(f329(f331(x71941),x71942),f39(f913(x71941,a900),x71943))) % 166.45/166.22 [7195]~P74(x71951)+E(f329(f329(f82(x71951),f329(f329(f6(a905,x71951),x71952),f329(f285(a905),x71953))),f329(x71952,x71953)),f329(f329(f6(a905,x71951),x71952),f329(f285(a905),f329(a117,x71953)))) % 166.45/166.22 [7284]~P33(x72842,x72841,x72843)+P1(f329(x72841,f329(f329(f167(x72842),x72843),f775(x72843,x72841,x72842)))) % 166.45/166.22 [7296]~P1(f329(f329(f331(x72961),x72962),f650(x72962,x72963,x72961)))+P1(f329(f329(f331(x72961),x72962),f40(f913(x72961,a900),x72963))) % 166.45/166.22 [7329]~P74(x73291)+E(f329(f329(f82(x73291),f329(f329(f6(a905,x73291),x73292),f329(f303(a905),x73293))),f329(x73292,f329(a117,x73293))),f329(f329(f6(a905,x73291),x73292),f329(f303(a905),f329(a117,x73293)))) % 166.45/166.22 [7475]P1(f329(f329(f331(f906(x74751)),x74752),f164(x74751,x74753)))+P1(f329(f329(f331(x74751),f684(x74753,x74752,x74751)),f329(f175(x74751),x74752))) % 166.45/166.22 [7489]~P1(f329(f329(f331(f906(x74891)),x74892),f164(x74891,f318(x74891,x74893))))+P1(f329(f329(f331(f906(x74891)),x74892),f318(f906(x74891),f160(x74891,x74893)))) % 166.45/166.22 [7517]~P1(f329(f329(f331(f906(x75171)),x75172),f318(f906(x75171),f160(x75171,x75173))))+P1(f329(f329(f331(f906(x75171)),x75172),f164(x75171,f318(x75171,x75173)))) % 166.45/166.22 [7553]E(f329(f329(f329(f186(f906(x75531),f906(x75531)),x75532),f170(x75531)),x75533),x75533)+~P1(f329(f329(f239(a905),f329(f192(f906(x75531)),x75533)),f80(a905))) % 166.45/166.22 [7587]E(f329(f329(f137(x75871),f778(x75872,x75873,x75871)),f329(f329(f154(x75871),x75873),f779(x75872,x75873,x75871))),x75872)+~P1(f329(f329(f331(x75871),x75873),f329(f175(x75871),x75872))) % 166.45/166.22 [7588]E(f329(f329(f137(x75881),f776(x75882,x75883,x75881)),f329(f329(f154(x75881),x75883),f777(x75882,x75883,x75881))),x75882)+~P1(f329(f329(f331(x75881),x75883),f329(f175(x75881),x75882))) % 166.45/166.22 [7589]E(f329(f329(f137(x75891),f785(x75892,x75893,x75891)),f329(f329(f154(x75891),x75893),f787(x75892,x75893,x75891))),x75892)+~P1(f329(f329(f331(x75891),x75893),f329(f175(x75891),x75892))) % 166.45/166.22 [7611]~P24(x76111,x76112,x76113,f247(f913(x76111,a900)))+P24(f906(x76111),f906(x76112),f329(f157(x76111,x76112),x76113),f247(f913(f906(x76111),a900))) % 166.45/166.22 [7758]E(x77581,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x77582)),x77583)),f329(f261(a905,a905),x77582)))+~P1(f329(f50(x77581,x77583),x77582)) % 166.45/166.22 [7766]P24(x77661,x77662,x77663,f247(f913(x77661,a900)))+~P24(f906(x77661),f906(x77662),f329(f157(x77661,x77662),x77663),f247(f913(f906(x77661),a900))) % 166.45/166.22 [7810]P1(f329(f329(f331(f913(x78101,a900)),f650(x78102,x78103,x78101)),x78103))+P1(f329(f329(f331(x78101),x78102),f40(f913(x78101,a900),x78103))) % 166.45/166.22 [7902]P1(f329(f329(f331(f906(x79021)),x79022),f164(x79021,x79023)))+~P1(f329(f329(f331(x79021),f684(x79023,x79022,x79021)),x79023)) % 166.45/166.22 [8009]P31(x80091,x80092,x80093)+~P1(f329(x80092,f329(f329(f167(x80091),x80093),f784(x80093,x80092,x80091)))) % 166.45/166.22 [8033]E(x80331,x80332)+~E(f329(f329(f7(x80333,f913(x80333,a900),a900),f331(x80333)),x80331),f329(f329(f7(x80333,f913(x80333,a900),a900),f331(x80333)),x80332)) % 166.45/166.22 [8041]~P1(f329(f329(f331(f912(x80411,x80411)),x80413),f268(x80411,x80412)))+P1(f329(f329(f331(x80411),f524(x80412,x80413,x80411)),x80412)) % 166.45/166.22 [8043]~P1(f329(f329(f331(x80431),x80433),f39(f913(x80431,a900),x80432)))+P1(f329(f329(f331(f913(x80431,a900)),f660(x80432,x80433,x80431)),x80432)) % 166.45/166.22 [8173]P24(x81731,x81732,f94(x81732,x81731,f247(f913(x81732,a900)),x81733),f247(f913(x81731,a900)))+~E(f329(f312(x81732,x81731,x81733),f247(f913(x81732,a900))),f247(f913(x81731,a900))) % 166.45/166.22 [8230]~P1(f329(f329(f331(x82301),x82302),f329(f175(x82301),f776(x82303,x82302,x82301))))+~P1(f329(f329(f331(x82301),x82302),f329(f175(x82301),x82303))) % 166.45/166.22 [8231]~P1(f329(f329(f331(x82311),x82312),f329(f175(x82311),f787(x82313,x82312,x82311))))+~P1(f329(f329(f331(x82311),x82312),f329(f175(x82311),x82313))) % 166.45/166.22 [8419]E(x84191,f118(x84192))+P1(f329(f329(f331(x84192),f329(f256(x84192,f912(a104,a104)),f329(f278(x84192,x84191),x84193))),f329(f175(x84192),x84191))) % 166.45/166.22 [8515]~P77(x85151)+E(f329(f145(x85151,x85151,f329(f7(x85151,x85151,x85151),f82(x85151)),x85152),f329(f171(x85151),x85153)),f329(f145(x85151,x85151,f82(x85151),x85152),x85153)) % 166.45/166.22 [8719]~P24(x87192,x87191,x87193,f247(f913(x87192,a900)))+E(f329(f312(x87191,x87192,f94(x87192,x87191,f247(f913(x87192,a900)),x87193)),f247(f913(x87191,a900))),f247(f913(x87192,a900))) % 166.45/166.22 [9019]~P105(x90191)+E(f329(f175(x90191),f152(x90191,x90191,f5(x90191),x90192,x90193)),f329(f329(f311(x90191),x90192),f329(f175(x90191),x90193))) % 166.45/166.22 [9030]~E(f329(x90303,f329(f94(x90301,x90302,f247(f913(x90301,a900)),x90303),f833(x90303,x90302,x90301))),f833(x90303,x90302,x90301))+E(f329(f312(x90301,x90302,x90303),f247(f913(x90301,a900))),f247(f913(x90302,a900))) % 166.45/166.22 [9032]P1(f329(f329(f240(a905),f2(a905)),f604(x90321,x90322,x90323)))+~P1(f329(f329(f331(f912(x90323,x90323)),x90322),f329(f329(f291(x90323,x90323,x90323),x90321),f309(x90323,x90321)))) % 166.45/166.22 [9323]~P60(x93231,x93232)+~P1(f329(f329(f331(f912(x93231,x93231)),f329(f329(f257(x93231,x93231),x93233),x93233)),f329(f329(f291(x93231,x93231,x93231),x93232),f309(x93231,x93232)))) % 166.45/166.22 [9454]~E(f329(f329(f106(f913(f912(x94541,x94541),a900)),f329(f289(x94541,x94541),x94542)),f309(x94541,x94542)),f191(f913(f912(x94541,x94541),a900)))+~P1(f329(f329(f331(f912(x94541,x94541)),f329(f329(f257(x94541,x94541),x94543),x94543)),f329(f329(f291(x94541,x94541,x94541),x94542),f309(x94541,x94542)))) % 166.45/166.22 [9636]~P1(f329(f63(x96361),x96362))+P1(f329(f329(f239(a905),f329(f37(x96361),f329(f329(f23(f913(x96361,a900)),x96362),f329(f329(f311(x96361),x96363),f191(f913(x96361,a900)))))),f329(f37(x96361),x96362))) % 166.45/166.22 [5151]~E(x51513,f118(x51511))+E(f147(x51511,f329(f329(f154(x51511),x51512),x51513)),x51512) % 166.45/166.22 [5159]~E(x51593,f118(x51591))+E(f119(x51591,f329(f329(f154(x51591),x51592),x51593)),f118(x51591)) % 166.45/166.22 [5191]E(x51911,f118(x51912))+E(f147(x51912,f329(f329(f154(x51912),x51913),x51911)),f147(x51912,x51911)) % 166.45/166.22 [5193]E(x51931,f118(x51932))+E(f147(x51932,f329(f329(f137(x51932),x51933),x51931)),f147(x51932,x51931)) % 166.45/166.22 [5200]~E(x52003,f118(x52001))+E(f119(x52001,f329(f329(f137(x52001),x52002),x52003)),f119(x52001,x52002)) % 166.45/166.22 [5202]~E(x52023,f118(x52021))+E(f147(x52021,f329(f329(f137(x52021),x52022),x52023)),f147(x52021,x52022)) % 166.45/166.22 [5237]E(x52371,f118(x52372))+E(f329(f144(x52372),f329(f329(f137(x52372),x52371),x52373)),f329(f144(x52372),x52371)) % 166.45/166.22 [5266]~E(x52662,f118(x52661))+E(f329(f144(x52661),f329(f329(f137(x52661),x52662),x52663)),f329(f144(x52661),x52663)) % 166.45/166.22 [5317]~P2(x53171)+E(f329(f329(f115(x53171),x53172),f329(f329(f106(x53171),x53172),x53173)),x53172) % 166.45/166.22 [5318]~P2(x53181)+E(f329(f329(f106(x53181),x53182),f329(f329(f115(x53181),x53182),x53183)),x53182) % 166.45/166.22 [5319]~P105(x53191)+E(f329(f329(f237(x53191),x53192),f329(f329(f238(x53191),x53192),x53193)),x53192) % 166.45/166.22 [5320]~P105(x53201)+E(f329(f329(f238(x53201),x53202),f329(f329(f237(x53201),x53202),x53203)),x53202) % 166.45/166.22 [5339]~P63(x53391)+E(f47(x53391,f329(f329(f83(x53391),x53392),x53393),x53393),f2(x53391)) % 166.45/166.22 [5340]~P63(x53401)+E(f47(x53401,f329(f329(f83(x53401),x53402),x53403),x53402),f2(x53401)) % 166.45/166.22 [5413]~P68(x54131)+E(f329(f81(x54131),f329(f329(f23(x54131),x54132),x54133)),f329(f329(f23(x54131),x54133),x54132)) % 166.45/166.22 [5474]E(x54741,f118(x54742))+E(f119(x54742,f329(f329(f154(x54742),x54743),x54741)),f329(f329(f154(x54742),x54743),f119(x54742,x54741))) % 166.45/166.22 [5475]E(x54751,f118(x54752))+E(f119(x54752,f329(f329(f137(x54752),x54753),x54751)),f329(f329(f137(x54752),x54753),f119(x54752,x54751))) % 166.45/166.22 [5478]~P4(x54781)+E(f40(x54781,f329(f329(f311(x54781),x54782),x54783)),f329(f329(f106(x54781),x54782),f40(x54781,x54783))) % 166.45/166.22 [5479]~P4(x54791)+E(f39(x54791,f329(f329(f311(x54791),x54792),x54793)),f329(f329(f115(x54791),x54792),f39(x54791,x54793))) % 166.45/166.22 [5522]~P2(x55221)+E(f329(f329(f115(x55221),x55222),f329(f329(f115(x55221),x55222),x55223)),f329(f329(f115(x55221),x55222),x55223)) % 166.45/166.22 [5524]~P106(x55241)+E(f329(f329(f115(x55241),x55242),f329(f329(f115(x55241),x55242),x55243)),f329(f329(f115(x55241),x55242),x55243)) % 166.45/166.22 [5525]~P2(x55251)+E(f329(f329(f106(x55251),x55252),f329(f329(f106(x55251),x55252),x55253)),f329(f329(f106(x55251),x55252),x55253)) % 166.45/166.22 [5527]~P107(x55271)+E(f329(f329(f106(x55271),x55272),f329(f329(f106(x55271),x55272),x55273)),f329(f329(f106(x55271),x55272),x55273)) % 166.45/166.22 [5528]~P100(x55281)+E(f329(f329(f83(x55281),x55282),f329(f329(f83(x55281),x55282),x55283)),f329(f329(f83(x55281),x55282),x55283)) % 166.45/166.22 [5530]~P105(x55301)+E(f329(f329(f237(x55301),x55302),f329(f329(f237(x55301),x55302),x55303)),f329(f329(f237(x55301),x55302),x55303)) % 166.45/166.22 [5532]~P105(x55321)+E(f329(f329(f238(x55321),x55322),f329(f329(f238(x55321),x55322),x55323)),f329(f329(f238(x55321),x55322),x55323)) % 166.45/166.22 [5539]~P63(x55391)+E(f47(x55391,f329(f329(f82(x55391),x55392),x55393),x55393),f47(x55391,x55392,x55393)) % 166.45/166.22 [5540]~P63(x55401)+E(f47(x55401,f329(f329(f82(x55401),x55402),x55403),x55402),f47(x55401,x55403,x55402)) % 166.45/166.22 [5548]~P116(x55481)+E(f329(f329(f83(x55481),x55482),f329(f81(x55481),x55483)),f329(f81(x55481),f329(f329(f83(x55481),x55482),x55483))) % 166.45/166.22 [5549]~P70(x55491)+E(f329(f329(f292(x55491),x55492),f329(f81(x55491),x55493)),f329(f81(x55491),f329(f329(f292(x55491),x55492),x55493))) % 166.45/166.22 [5550]~P84(x55501)+E(f329(f329(f82(x55501),x55502),f329(f168(x55501),x55503)),f329(f168(x55501),f329(f329(f154(x55501),x55502),x55503))) % 166.45/166.22 [5578]~P116(x55781)+E(f329(f329(f83(x55781),f329(f81(x55781),x55782)),x55783),f329(f329(f83(x55781),x55782),f329(f81(x55781),x55783))) % 166.45/166.22 [5584]~P7(x55841,x55842,x55843)+E(f39(f913(x55841,a900),f329(f329(f62(x55841),x55842),x55843)),x55842) % 166.45/166.22 [5649]~P121(x56491)+E(f329(f329(f83(x56491),x56492),f329(f329(f249(x56491),x56492),x56493)),f329(f329(f249(x56491),x56492),f329(a117,x56493))) % 166.45/166.22 [5650]~P118(x56501)+E(f329(f329(f83(x56501),x56502),f329(f329(f249(x56501),x56502),x56503)),f329(f329(f249(x56501),x56502),f329(a117,x56503))) % 166.45/166.22 [5660]~P67(x56601)+E(f329(f329(f82(x56601),f329(f81(x56601),x56602)),f329(f329(f82(x56601),x56602),x56603)),x56603) % 166.45/166.22 [5683]~P147(x56831)+E(f329(f329(f249(x56831),f329(f105(x56831),x56832)),x56833),f329(f105(x56831),f329(f329(f249(a905),x56832),x56833))) % 166.45/166.22 [5684]~P142(x56841)+E(f329(f329(f249(x56841),f329(f107(x56841),x56842)),x56843),f329(f107(x56841),f329(f329(f249(a1),x56842),x56843))) % 166.45/166.22 [5690]~P89(x56901)+E(f329(f77(x56901),f329(f329(f23(x56901),x56902),x56903)),f329(f77(x56901),f329(f329(f23(x56901),x56903),x56902))) % 166.45/166.22 [5692]~P117(x56921)+E(f329(f329(f83(x56921),f84(x56921,x56922)),f84(x56921,x56923)),f84(x56921,f329(f329(f83(x56921),x56922),x56923))) % 166.45/166.22 [5696]E(x56961,f118(x56962))+E(f329(f329(f137(x56962),f329(f174(x56962),x56961)),x56963),f329(f174(x56962),f329(f329(f137(x56962),x56961),x56963))) % 166.45/166.22 [5701]~E(x57012,f329(a117,f329(f329(f82(a905),x57011),x57013)))+P1(f329(f329(f240(a905),x57011),x57012)) % 166.45/166.22 [5702]~P117(x57021)+E(f329(f329(f249(x57021),f329(f77(x57021),x57022)),x57023),f329(f77(x57021),f329(f329(f249(x57021),x57022),x57023))) % 166.45/166.22 [5703]~P116(x57031)+E(f329(f329(f83(x57031),f329(f81(x57031),x57032)),x57033),f329(f81(x57031),f329(f329(f83(x57031),x57032),x57033))) % 166.45/166.22 [5704]~P124(x57041)+E(f329(f329(f292(x57041),f329(f81(x57041),x57042)),x57043),f329(f81(x57041),f329(f329(f292(x57041),x57042),x57043))) % 166.45/166.22 [5803]E(f762(x58031,x58032,x58033),f780(x58031,x58032,x58033))+E(f329(f329(f106(f913(x58033,a900)),x58032),x58031),f191(f913(x58033,a900))) % 166.45/166.22 [5818]~P74(x58182)+E(f329(f329(f6(x58181,x58182),f329(f16(x58182,x58181),f2(x58182))),x58183),f2(x58182)) % 166.45/166.22 [5819]~P80(x58192)+E(f329(f329(f9(x58191,x58192),f329(f16(x58192,x58191),f80(x58192))),x58193),f80(x58192)) % 166.45/166.22 [5821]~P147(x58211)+E(f329(f329(f82(x58211),f329(f105(x58211),x58212)),f329(f105(x58211),x58213)),f329(f105(x58211),f329(f329(f82(a905),x58212),x58213))) % 166.45/166.22 [5822]~P147(x58221)+E(f329(f329(f83(x58221),f329(f105(x58221),x58222)),f329(f105(x58221),x58223)),f329(f105(x58221),f329(f329(f83(a905),x58222),x58223))) % 166.45/166.22 [5823]~P142(x58231)+E(f329(f329(f23(x58231),f329(f107(x58231),x58232)),f329(f107(x58231),x58233)),f329(f107(x58231),f329(f329(f23(a1),x58232),x58233))) % 166.45/166.22 [5824]~P142(x58241)+E(f329(f329(f82(x58241),f329(f107(x58241),x58242)),f329(f107(x58241),x58243)),f329(f107(x58241),f329(f329(f82(a1),x58242),x58243))) % 166.45/166.22 [5825]~P142(x58251)+E(f329(f329(f83(x58251),f329(f107(x58251),x58252)),f329(f107(x58251),x58253)),f329(f107(x58251),f329(f329(f83(a1),x58252),x58253))) % 166.45/166.22 [5826]~P97(x58261)+E(f329(f329(f23(x58261),f329(f108(x58261),x58262)),f329(f108(x58261),x58263)),f329(f108(x58261),f329(f329(f23(a1),x58262),x58263))) % 166.45/166.22 [5829]~P97(x58291)+E(f329(f329(f82(x58291),f329(f108(x58291),x58292)),f329(f108(x58291),x58293)),f329(f108(x58291),f329(f329(f82(a1),x58292),x58293))) % 166.45/166.22 [5830]~P97(x58301)+E(f329(f329(f83(x58301),f329(f108(x58301),x58302)),f329(f108(x58301),x58303)),f329(f108(x58301),f329(f329(f83(a1),x58302),x58303))) % 166.45/166.22 [5877]~E(x58773,x58772)+P1(f329(f329(f239(f913(x58771,a900)),x58772),x58773)) % 166.45/166.22 [5883]~E(x58832,x58833)+P1(f329(f329(f239(f913(x58831,a900)),x58832),x58833)) % 166.45/166.22 [5888]~P117(x58881)+E(f329(f329(f83(x58881),f329(f77(x58881),x58882)),f329(f77(x58881),x58883)),f329(f77(x58881),f329(f329(f83(x58881),x58882),x58883))) % 166.45/166.22 [5889]~P72(x58891)+E(f329(f329(f292(x58891),f329(f77(x58891),x58892)),f329(f77(x58891),x58893)),f329(f77(x58891),f329(f329(f292(x58891),x58892),x58893))) % 166.45/166.22 [5890]~P99(x58901)+E(f329(f329(f106(x58901),f329(f81(x58901),x58902)),f329(f81(x58901),x58903)),f329(f81(x58901),f329(f329(f115(x58901),x58902),x58903))) % 166.45/166.22 [5891]~P99(x58911)+E(f329(f329(f115(x58911),f329(f81(x58911),x58912)),f329(f81(x58911),x58913)),f329(f81(x58911),f329(f329(f106(x58911),x58912),x58913))) % 166.45/166.22 [5892]~P67(x58921)+E(f329(f329(f82(x58921),f329(f81(x58921),x58922)),f329(f81(x58921),x58923)),f329(f81(x58921),f329(f329(f82(x58921),x58923),x58922))) % 166.45/166.22 [5893]~P68(x58931)+E(f329(f329(f82(x58931),f329(f81(x58931),x58932)),f329(f81(x58931),x58933)),f329(f81(x58931),f329(f329(f82(x58931),x58932),x58933))) % 166.45/166.22 [5894]~P81(x58941)+E(f329(f329(f238(x58941),f329(f81(x58941),x58942)),f329(f81(x58941),x58943)),f329(f81(x58941),f329(f329(f237(x58941),x58942),x58943))) % 166.45/166.22 [5895]~P81(x58951)+E(f329(f329(f237(x58951),f329(f81(x58951),x58952)),f329(f81(x58951),x58953)),f329(f81(x58951),f329(f329(f238(x58951),x58952),x58953))) % 166.45/166.22 [5896]~P84(x58961)+E(f329(f329(f82(x58961),f329(f168(x58961),x58962)),f329(f168(x58961),x58963)),f329(f168(x58961),f329(f329(f137(x58961),x58962),x58963))) % 166.45/166.22 [5897]E(x58971,f191(f913(x58972,a900)))+~E(f329(f329(f115(f913(x58972,a900)),x58973),x58971),f191(f913(x58972,a900))) % 166.45/166.22 [5898]E(x58981,f191(f913(x58982,a900)))+~E(f329(f329(f115(f913(x58982,a900)),x58981),x58983),f191(f913(x58982,a900))) % 166.45/166.22 [5899]~P150(x58991,x58992,x58993)+P1(f329(x58991,f329(f329(f38(a1),x58992),x58993))) % 166.45/166.22 [5957]~P1(f329(f63(x59571),x59573))+P1(f329(f63(x59571),f329(f329(f311(x59571),x59572),x59573))) % 166.45/166.22 [5958]~P1(f329(f140(x59581),x59583))+P1(f329(f140(x59581),f329(f329(f178(x59581),x59582),x59583))) % 166.45/166.22 [5959]~P1(f329(f140(x59591),x59593))+P1(f329(f140(x59591),f329(f329(f141(x59591),x59592),x59593))) % 166.45/166.22 [5988]~P2(x59881)+P1(f329(f329(f239(x59881),x59882),f329(f329(f115(x59881),x59883),x59882))) % 166.45/166.22 [5989]~P106(x59891)+P1(f329(f329(f239(x59891),x59892),f329(f329(f115(x59891),x59893),x59892))) % 166.45/166.22 [5990]~P2(x59901)+P1(f329(f329(f239(x59901),x59902),f329(f329(f115(x59901),x59902),x59903))) % 166.45/166.22 [5991]~P106(x59911)+P1(f329(f329(f239(x59911),x59912),f329(f329(f115(x59911),x59912),x59913))) % 166.45/166.22 [5992]~P105(x59921)+P1(f329(f329(f239(x59921),x59922),f329(f329(f238(x59921),x59923),x59922))) % 166.45/166.22 [5993]~P105(x59931)+P1(f329(f329(f239(x59931),x59932),f329(f329(f238(x59931),x59932),x59933))) % 166.45/166.22 [6007]~E(x60071,f2(a905))+E(f329(f329(f38(a905),f329(f329(f83(a905),x60071),x60072)),f329(f329(f83(a905),x60071),x60073)),f2(a905)) % 166.45/166.22 [6074]P1(f329(x60741,x60742))+P1(f329(f329(f197(f31(x60741,x60743)),x60742),x60742)) % 166.45/166.22 [6090]~P97(x60901)+E(f329(f329(f23(x60901),f329(f108(x60901),x60902)),f329(f108(x60901),x60903)),f329(f108(x60901),f329(f329(f82(a1),x60902),f329(f81(a1),x60903)))) % 166.45/166.22 [6148]E(x61481,f2(a905))+E(f329(f329(f38(a905),f329(f329(f83(a905),x61481),x61482)),f329(f329(f83(a905),x61481),x61483)),f329(f329(f38(a905),x61482),x61483)) % 166.45/166.22 [6179]E(f155(x61791,f329(f329(f154(x61791),x61792),x61793)),f329(f329(f154(x61791),x61792),f155(x61791,x61793)))+P1(f329(f329(f331(x61791),x61792),f329(f175(x61791),x61793))) % 166.45/166.22 [6215]P150(x62151,x62152,x62153)+~P1(f329(x62151,f329(f329(f38(a1),x62152),x62153))) % 166.45/166.22 [6286]E(x62861,f118(x62862))+E(f329(f329(f154(x62862),f329(f144(x62862),x62861)),f329(f329(f178(x62862),x62863),f329(f174(x62862),x62861))),f329(f329(f178(x62862),f329(a117,x62863)),x62861)) % 166.45/166.22 [6293]E(f329(f329(f23(f913(x62931,a900)),x62932),x62933),x62932)+~E(f329(f329(f106(f913(x62931,a900)),x62932),x62933),f191(f913(x62931,a900))) % 166.45/166.22 [6308]E(f155(x63081,f329(f329(f154(x63081),x63082),x63083)),f155(x63081,x63083))+~P1(f329(f329(f331(x63081),x63082),f329(f175(x63081),x63083))) % 166.45/166.22 [6338]~P1(f329(f329(f239(a905),x63381),x63383))+P1(f329(f329(f239(a905),x63381),f329(f329(f82(a905),x63382),x63383))) % 166.45/166.22 [6340]~P1(f329(f329(f239(a905),x63401),x63402))+P1(f329(f329(f239(a905),x63401),f329(f329(f82(a905),x63402),x63403))) % 166.45/166.22 [6342]~P1(f329(f329(f240(a905),x63421),x63423))+P1(f329(f329(f240(a905),x63421),f329(f329(f82(a905),x63422),x63423))) % 166.45/166.22 [6344]~P1(f329(f329(f240(a905),x63441),x63442))+P1(f329(f329(f240(a905),x63441),f329(f329(f82(a905),x63442),x63443))) % 166.45/166.22 [6382]P1(f329(f63(x63821),x63822))+~P1(f329(f63(x63821),f329(f329(f311(x63821),x63823),x63822))) % 166.45/166.22 [6383]P1(f329(f140(x63831),x63832))+~P1(f329(f140(x63831),f329(f329(f154(x63831),x63833),x63832))) % 166.45/166.22 [6384]P1(f329(f140(x63841),x63842))+~P1(f329(f140(x63841),f329(f329(f137(x63841),x63843),x63842))) % 166.45/166.22 [6385]P1(f329(f140(x63851),x63852))+~P1(f329(f140(x63851),f329(f329(f137(x63851),x63852),x63853))) % 166.45/166.22 [6434]~P118(x64341)+E(f329(f329(f82(x64341),x64342),f329(f329(f83(x64341),x64343),x64342)),f329(f329(f83(x64341),f329(f329(f82(x64341),x64343),f80(x64341))),x64342)) % 166.45/166.22 [6481]~E(x64811,x64812)+~P1(f329(f329(f240(f913(x64813,a900)),x64811),x64812)) % 166.45/166.22 [6530]P1(f329(f329(f331(x65301),x65302),x65303))+P1(f329(f329(f331(x65301),x65302),f329(f81(f913(x65301,a900)),x65303))) % 166.45/166.22 [6536]E(f147(x65361,f329(f329(f141(x65361),x65362),x65363)),f147(x65361,x65363))+~P1(f329(f329(f240(a905),x65362),f329(f192(f906(x65361)),x65363))) % 166.45/166.22 [6537]E(f329(f329(f178(x65371),x65372),f119(x65371,x65373)),f329(f329(f178(x65371),x65372),x65373))+~P1(f329(f329(f240(a905),x65372),f329(f192(f906(x65371)),x65373))) % 166.45/166.22 [6592]E(f329(f329(f329(f186(f906(x65921),f906(x65921)),x65922),f170(x65921)),x65923),x65923)+~E(f47(a905,x65922,f329(f192(f906(x65921)),x65923)),f2(a905)) % 166.45/166.22 [6601]~P7(x66011,x66013,x66012)+E(f329(f329(f291(x66011,x66011,x66011),f329(f289(x66011,x66011),x66012)),x66012),x66012) % 166.45/166.22 [6643]~E(f329(f329(f115(f913(x66431,a900)),x66432),x66433),x66433)+P1(f329(f329(f239(f913(x66431,a900)),x66432),x66433)) % 166.45/166.22 [6648]~P57(x66481,x66481,x66483)+P57(x66481,x66481,f329(f329(f186(f912(x66481,x66481),a900),x66482),x66483)) % 166.45/166.22 [6652]~P1(f329(f329(f331(x66521),x66523),f329(f175(x66521),x66522)))+P1(f329(f329(f240(a905),f2(a905)),f329(f192(f906(x66521)),x66522))) % 166.45/166.22 [6679]~P89(x66791)+E(f329(f77(x66791),f329(f329(f82(x66791),f329(f77(x66791),x66792)),f329(f77(x66791),x66793))),f329(f329(f82(x66791),f329(f77(x66791),x66792)),f329(f77(x66791),x66793))) % 166.45/166.22 [6690]E(f329(f329(f38(a905),f329(f329(f83(a905),x66901),x66902)),f329(f329(f83(a905),x66901),x66903)),f329(f329(f38(a905),x66902),x66903))+~P1(f329(f329(f240(a905),f2(a905)),x66901)) % 166.45/166.22 [6828]~P1(f329(f63(x68281),x68283))+E(f329(f329(f66(x68281,f913(x68281,a900),f311(x68281)),x68282),x68283),f329(f329(f115(f913(x68281,a900)),x68283),x68282)) % 166.45/166.22 [6884]E(f329(f329(f115(f913(x68841,a900)),x68842),x68843),x68842)+~P1(f329(f329(f239(f913(x68841,a900)),x68843),x68842)) % 166.45/166.22 [6886]E(f329(f329(f115(f913(x68861,a900)),x68862),x68863),x68863)+~P1(f329(f329(f239(f913(x68861,a900)),x68862),x68863)) % 166.45/166.22 [6887]E(f329(f329(f106(f913(x68871,a900)),x68872),x68873),x68873)+~P1(f329(f329(f239(f913(x68871,a900)),x68873),x68872)) % 166.45/166.22 [6888]E(f329(f329(f106(f913(x68881,a900)),x68882),x68883),x68882)+~P1(f329(f329(f239(f913(x68881,a900)),x68882),x68883)) % 166.45/166.22 [6937]~P1(f329(f140(x69371),x69372))+E(f329(f329(f23(f913(x69371,a900)),f329(f175(x69371),x69372)),f329(f329(f311(x69371),x69373),f191(f913(x69371,a900)))),f329(f175(x69371),f173(x69371,x69373,x69372))) % 166.45/166.22 [6989]P37(x69891,x69892)+~P37(x69891,f329(f329(f186(f912(x69891,x69891),a900),x69893),x69892)) % 166.45/166.22 [7056]P1(f329(f51(x70561,x70562),f329(a53,x70563)))+~P1(f329(f51(f329(f81(a1),x70561),f329(f81(a1),x70562)),x70563)) % 166.45/166.22 [7061]E(f329(f329(f23(f913(x70611,a900)),f329(f329(f311(x70611),x70612),x70613)),f329(f329(f311(x70611),x70612),f191(f913(x70611,a900)))),x70613)+P1(f329(f329(f331(x70611),x70612),x70613)) % 166.45/166.22 [7082]E(f329(f329(f106(f913(x70821,a900)),f329(f175(x70821),x70822)),f329(f175(x70821),x70823)),f191(f913(x70821,a900)))+~P1(f329(f140(x70821),f329(f329(f137(x70821),x70822),x70823))) % 166.45/166.22 [7097]~P1(f329(f329(f331(x70971),x70972),f329(f175(x70971),x70973)))+~P1(f329(f140(x70971),f329(f329(f154(x70971),x70972),x70973))) % 166.45/166.22 [7166]P31(x71661,x71662,x71663)+P1(f329(f329(f240(a905),f784(x71663,x71662,x71661)),f329(f192(f906(x71661)),x71663))) % 166.45/166.22 [7176]E(f329(f329(f106(f913(x71761,a900)),x71762),x71763),f191(f913(x71761,a900)))+P1(f329(f329(f331(x71761),f762(x71763,x71762,x71761)),x71762)) % 166.45/166.22 [7177]E(f329(f329(f106(f913(x71771,a900)),x71772),x71773),f191(f913(x71771,a900)))+P1(f329(f329(f331(x71771),f780(x71773,x71772,x71771)),x71773)) % 166.45/166.22 [7180]E(f119(x71801,f329(f329(f178(x71801),x71802),x71803)),f329(f329(f178(x71801),f329(f329(f23(a905),x71802),f80(a905))),x71803))+~P1(f329(f329(f239(a905),x71802),f329(f192(f906(x71801)),x71803))) % 166.45/166.22 [7239]~P33(x72393,x72392,x72391)+P1(f329(f329(f240(a905),f775(x72391,x72392,x72393)),f329(f192(f906(x72393)),x72391))) % 166.45/166.22 [7257]P1(f329(f329(f240(a905),f2(a905)),x72571))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x72572),x72571)),f329(f329(f83(a905),x72573),x72571))) % 166.45/166.22 [7258]P1(f329(f329(f240(a905),f2(a905)),x72581))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x72581),x72582)),f329(f329(f83(a905),x72581),x72583))) % 166.45/166.22 [7261]~P1(f329(f329(f331(x72611),x72612),x72613))+~P1(f329(f329(f331(x72611),x72612),f329(f81(f913(x72611,a900)),x72613))) % 166.45/166.22 [7267]~P1(f329(f329(f240(f913(x72671,a900)),x72672),x72673))+P1(f329(f329(f239(f913(x72671,a900)),x72672),x72673)) % 166.45/166.22 [7377]~P1(f329(f329(f239(a905),x73773),x73772))+P1(f329(f329(f239(a905),f329(f329(f23(a905),x73771),x73772)),f329(f329(f23(a905),x73771),x73773))) % 166.45/166.22 [7378]~P1(f329(f329(f239(a905),x73781),x73783))+P1(f329(f329(f239(a905),f329(f329(f23(a905),x73781),x73782)),f329(f329(f23(a905),x73783),x73782))) % 166.45/166.22 [7379]~P1(f329(f329(f239(a905),x73792),x73793))+P1(f329(f329(f239(a905),f329(f329(f82(a905),x73791),x73792)),f329(f329(f82(a905),x73791),x73793))) % 166.45/166.22 [7380]~P1(f329(f329(f239(a905),x73801),x73803))+P1(f329(f329(f239(a905),f329(f329(f82(a905),x73801),x73802)),f329(f329(f82(a905),x73803),x73802))) % 166.45/166.22 [7382]~P1(f329(f329(f239(a905),x73822),x73823))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x73821),x73822)),f329(f329(f83(a905),x73821),x73823))) % 166.45/166.22 [7384]~P1(f329(f329(f239(a905),x73841),x73843))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x73841),x73842)),f329(f329(f83(a905),x73843),x73842))) % 166.45/166.22 [7385]~P1(f329(f329(f239(a905),x73851),x73853))+P1(f329(f329(f239(a905),f329(f329(f38(a905),x73851),x73852)),f329(f329(f38(a905),x73853),x73852))) % 166.45/166.22 [7386]~P1(f329(f329(f239(a1),x73862),x73863))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x73861),x73862)),f329(f329(f82(a1),x73861),x73863))) % 166.45/166.22 [7389]~P1(f329(f329(f240(a905),x73892),x73893))+P1(f329(f329(f240(a905),f329(f329(f82(a905),x73891),x73892)),f329(f329(f82(a905),x73891),x73893))) % 166.45/166.22 [7390]~P1(f329(f329(f240(a905),x73901),x73903))+P1(f329(f329(f240(a905),f329(f329(f82(a905),x73901),x73902)),f329(f329(f82(a905),x73903),x73902))) % 166.45/166.22 [7391]~P1(f329(f329(f240(a1),x73911),x73913))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73911),x73912)),f329(f329(f82(a1),x73913),x73912))) % 166.45/166.22 [7474]E(x74741,x74742)+~P1(f329(f329(f331(x74743),x74741),f329(f329(f311(x74743),x74742),f191(f913(x74743,a900))))) % 166.45/166.22 [7476]~E(f329(f329(f106(f913(x74761,a900)),x74762),x74763),f191(f913(x74761,a900)))+P1(f329(f329(f239(f913(x74761,a900)),x74762),f329(f81(f913(x74761,a900)),x74763))) % 166.45/166.22 [7481]P1(f329(f329(f331(f913(x74811,a900)),x74812),f329(f310(x74811),x74813)))+~P1(f329(f329(f239(f913(x74811,a900)),x74812),x74813)) % 166.45/166.22 [7534]E(f329(f329(f154(x75341),f329(f329(f167(x75341),x75342),x75343)),f329(f329(f141(x75341),f329(a117,x75343)),x75342)),f329(f329(f141(x75341),x75343),x75342))+~P1(f329(f329(f240(a905),x75343),f329(f192(f906(x75341)),x75342))) % 166.45/166.22 [7563]P1(f329(f329(f331(f912(x75631,x75631)),x75632),f309(x75631,x75633)))+~P1(f329(f329(f331(f912(x75631,x75631)),x75632),x75633)) % 166.45/166.22 [7573]~P1(f329(f329(f331(f913(x75731,a900)),x75732),f329(f310(x75731),x75733)))+P1(f329(f329(f239(f913(x75731,a900)),x75732),x75733)) % 166.45/166.22 [7617]P1(f329(f329(f239(f913(x76171,a900)),x76172),f39(f913(x76171,a900),x76173)))+~P1(f329(f329(f331(f913(x76171,a900)),x76172),x76173)) % 166.45/166.22 [7639]~P142(x76391)+E(f329(f329(f83(x76391),f329(f329(f249(x76391),f329(f81(x76391),f80(x76391))),x76392)),f329(f329(f249(x76391),x76393),x76392)),f329(f329(f249(x76391),f329(f81(x76391),x76393)),x76392)) % 166.45/166.22 [7661]E(f329(f329(f167(x76611),x76612),f329(f329(f23(a905),f329(f192(f906(x76611)),x76612)),f329(a117,x76613))),f329(f329(f167(x76611),f329(f171(x76611),x76612)),x76613))+~P1(f329(f329(f240(a905),x76613),f329(f192(f906(x76611)),x76612))) % 166.45/166.22 [7678]~E(f329(f329(f106(f913(x76781,a900)),f641(x76783,x76782,x76781)),x76783),f191(f913(x76781,a900)))+E(f329(f329(f106(f913(x76781,a900)),f39(f913(x76781,a900),x76782)),x76783),f191(f913(x76781,a900))) % 166.45/166.22 [7741]~P1(f329(f329(f331(x77413),x77412),f329(f175(x77413),x77411)))+P1(f329(f329(f240(a905),f679(x77411,x77412,x77413)),f329(f192(f906(x77413)),x77411))) % 166.45/166.22 [7749]P1(f329(f329(f331(x77491),f329(f329(f167(x77491),x77492),x77493)),f329(f175(x77491),x77492)))+~P1(f329(f329(f240(a905),x77493),f329(f192(f906(x77491)),x77492))) % 166.45/166.22 [7847]~P1(f329(x78472,f743(x78473,x78472,x78471)))+E(f329(f329(f141(x78471),f329(f192(f906(x78471)),f180(x78471,x78472,x78473))),x78473),f118(x78471)) % 166.45/166.22 [7860]P1(f329(f329(f239(f913(f906(x78601),a900)),f164(x78601,x78602)),f164(x78601,x78603)))+~P1(f329(f329(f239(f913(x78601,a900)),x78602),x78603)) % 166.45/166.22 [7861]P1(f329(f329(f239(f913(f906(x78611),a900)),f163(x78611,x78612)),f163(x78611,x78613)))+~P1(f329(f329(f239(f913(x78611,a900)),x78612),x78613)) % 166.45/166.22 [7889]E(f329(f329(f106(f913(x78891,a900)),f39(f913(x78891,a900),x78892)),x78893),f191(f913(x78891,a900)))+P1(f329(f329(f331(f913(x78891,a900)),f641(x78893,x78892,x78891)),x78892)) % 166.45/166.22 [7891]~P1(f329(f329(f331(f913(x78911,a900)),x78913),x78912))+P1(f329(f329(f239(f913(x78911,a900)),f40(f913(x78911,a900),x78912)),x78913)) % 166.45/166.22 [7893]E(f329(f329(f106(f913(x78931,a900)),x78932),x78933),f191(f913(x78931,a900)))+~P1(f329(f329(f239(f913(x78931,a900)),x78932),f329(f81(f913(x78931,a900)),x78933))) % 166.45/166.22 [7946]E(f329(f329(f23(a905),f329(f329(f82(a905),f329(f168(a905),x79461)),x79462)),f329(f329(f167(a905),x79461),x79463)),f329(f168(a905),f329(f329(f162(a905,x79461),x79463),x79462)))+~P1(f329(f329(f240(a905),x79463),f329(f192(f906(a905)),x79461))) % 166.45/166.22 [7997]P1(f329(f329(f239(a905),x79971),x79972))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x79973),x79971)),f329(f329(f82(a905),x79973),x79972))) % 166.45/166.22 [8000]P1(f329(f329(f240(a905),x80001),x80002))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),x80003),x80001)),f329(f329(f82(a905),x80003),x80002))) % 166.45/166.22 [8001]P1(f329(f329(f240(a905),x80011),x80012))+~P1(f329(f329(f240(a905),f329(f329(f83(a905),x80013),x80011)),f329(f329(f83(a905),x80013),x80012))) % 166.45/166.22 [8002]P1(f329(f329(f240(a905),x80021),x80022))+~P1(f329(f329(f240(a905),f329(f329(f83(a905),x80021),x80023)),f329(f329(f83(a905),x80022),x80023))) % 166.45/166.22 [8031]P1(f329(f329(f240(a905),f2(a905)),x80311))+~P1(f329(f329(f240(a905),f329(f329(f83(a905),x80312),x80311)),f329(f329(f83(a905),x80313),x80311))) % 166.45/166.22 [8032]P1(f329(f329(f240(a905),f2(a905)),x80321))+~P1(f329(f329(f240(a905),f329(f329(f83(a905),x80321),x80322)),f329(f329(f83(a905),x80321),x80323))) % 166.45/166.22 [8108]E(f252(x81081,x81082,x81083),x81082)+~P1(f329(f329(f239(f913(x81081,a900)),x81083),f329(f329(f311(x81081),x81082),f191(f913(x81081,a900))))) % 166.45/166.22 [8166]~P1(f329(f140(x81661),x81663))+E(f329(f139(x81661,f329(f329(f8(a900,a900,x81661),a324),f329(a326,x81662))),x81663),f173(x81661,x81662,x81663)) % 166.45/166.22 [8190]E(f329(f329(f141(x81901),f329(f192(f906(x81901)),f180(x81901,x81902,x81903))),x81903),f118(x81901))+P1(f329(f329(f331(x81901),f743(x81903,x81902,x81901)),f329(f175(x81901),x81903))) % 166.45/166.22 [8195]E(f329(f329(f137(x81951),f329(f329(f178(x81951),x81952),x81953)),f329(f329(f154(x81951),f329(f329(f167(x81951),x81953),x81952)),f118(x81951))),f329(f329(f178(x81951),f329(a117,x81952)),x81953))+~P1(f329(f329(f240(a905),x81952),f329(f192(f906(x81951)),x81953))) % 166.45/166.22 [8258]E(f329(f139(x82581,f329(f329(f8(a900,a900,x82581),a324),f329(a326,x82582))),x82583),x82583)+P1(f329(f329(f331(x82581),x82582),f329(f175(x82581),x82583))) % 166.45/166.22 [8264]P1(f329(f329(f239(f913(f913(x82641,a900),a900)),f253(x82641,x82642)),f253(x82641,x82643)))+~P1(f329(f329(f239(f913(x82641,a900)),x82642),x82643)) % 166.45/166.22 [8305]~P1(f329(f140(x83051),x83053))+P1(f329(f140(x83051),f329(f329(f329(f186(f906(x83051),f906(x83051)),x83052),f170(x83051)),x83053))) % 166.45/166.22 [8311]~P1(f329(f329(f240(a905),x83112),x83113))+P1(f329(f329(f240(a905),f329(f329(f83(a905),f329(a117,x83111)),x83112)),f329(f329(f83(a905),f329(a117,x83111)),x83113))) % 166.45/166.22 [8332]P1(f329(f329(f239(f913(f913(x83321,a900),a900)),f329(f310(x83321),x83322)),f329(f310(x83321),x83323)))+~P1(f329(f329(f239(f913(x83321,a900)),x83322),x83323)) % 166.45/166.22 [8401]~E(f329(f312(x84011,x84012,x84013),f247(f913(x84011,a900))),f247(f913(x84012,a900)))+E(f329(f74(x84011,x84012,x84012,x84013),f94(x84011,x84012,f247(f913(x84011,a900)),x84013)),f33(x84012)) % 166.45/166.22 [8496]~P1(f329(f329(f239(f913(x84961,a900)),x84963),x84962))+P1(f329(f329(f239(f913(x84961,a900)),f329(f81(f913(x84961,a900)),x84962)),f329(f81(f913(x84961,a900)),x84963))) % 166.45/166.22 [8530]E(f329(f312(a905,a905,f329(f329(f7(a905,a905,a905),f23(a905)),x85301)),f329(f304(a905,x85302),x85303)),f329(f304(a905,f329(f329(f23(a905),x85302),x85301)),f329(f329(f23(a905),x85303),x85301)))+~P1(f329(f329(f240(a905),x85301),x85303)) % 166.45/166.22 [8557]~P84(x85571)+E(f329(f329(f82(x85571),x85572),f329(f145(x85571,x85571,f82(x85571),f2(x85571)),x85573)),f329(f145(x85571,x85571,f82(x85571),x85572),x85573)) % 166.45/166.22 [8645]~P89(x86451)+P1(f329(f329(f239(x86451),f329(f77(x86451),f329(f329(f23(x86451),x86452),x86453))),f329(f329(f82(x86451),f329(f77(x86451),x86452)),f329(f77(x86451),x86453)))) % 166.45/166.22 [8646]~P89(x86461)+P1(f329(f329(f239(x86461),f329(f77(x86461),f329(f329(f82(x86461),x86462),x86463))),f329(f329(f82(x86461),f329(f77(x86461),x86462)),f329(f77(x86461),x86463)))) % 166.45/166.22 [8657]E(f329(f329(f82(a1),f329(f329(f83(a1),x86571),f47(a1,f329(f329(f38(a1),x86572),x86571),x86573))),f47(a1,x86572,x86571)),f47(a1,x86572,f329(f329(f83(a1),x86571),x86573)))+~P1(f329(f329(f240(a1),f2(a1)),x86573)) % 166.45/166.22 [8663]E(f329(f329(f137(x86631),f329(f329(f178(x86631),x86632),x86633)),f329(f329(f154(x86631),f329(f144(x86631),f329(f329(f141(x86631),x86632),x86633))),f118(x86631))),f329(f329(f178(x86631),f329(a117,x86632)),x86633))+~P1(f329(f329(f240(a905),x86632),f329(f192(f906(x86631)),x86633))) % 166.45/166.22 [8682]E(f329(f273(x86821,f329(f329(f157(x86821,f912(a104,x86821)),f329(f257(a104,x86821),f80(a104))),x86822)),f329(a3,x86823)),f329(f329(f167(x86821),x86822),x86823))+~P1(f329(f329(f240(a905),x86823),f329(f192(f906(x86821)),x86822))) % 166.45/166.22 [8747]P1(f329(f329(f331(f912(x87471,x87471)),x87472),f329(f329(f291(x87471,x87471,x87471),x87473),f309(x87471,x87473))))+~P1(f329(f329(f331(f912(x87471,x87471)),x87472),x87473)) % 166.45/166.22 [8757]E(f329(f312(x87571,x87572,x87573),f247(f913(x87571,a900))),f247(f913(x87572,a900)))+~E(f329(f74(x87571,x87572,x87572,x87573),f94(x87571,x87572,f247(f913(x87571,a900)),x87573)),f33(x87572)) % 166.45/166.22 [8766]P1(f329(f329(f239(a905),x87661),x87662))+~P1(f329(f329(f239(a905),f329(f329(f83(a905),f329(a117,x87663)),x87661)),f329(f329(f83(a905),f329(a117,x87663)),x87662))) % 166.45/166.22 [8782]P1(f329(f329(f239(f913(x87821,a900)),x87822),x87823))+~P1(f329(f329(f239(f913(x87821,a900)),f329(f81(f913(x87821,a900)),x87823)),f329(f81(f913(x87821,a900)),x87822))) % 166.45/166.22 [8799]P1(f329(f140(x87991),x87992))+~P1(f329(f140(x87991),f329(f329(f329(f186(f906(x87991),f906(x87991)),x87993),f170(x87991)),x87992))) % 166.45/166.22 [8868]E(f329(f288(x88681,x88681,f309(x88681,x88682)),x88683),x88683)+~P1(f329(f329(f239(f913(x88681,a900)),f329(f288(x88681,x88681,x88682),x88683)),x88683)) % 166.45/166.22 [8914]~P105(x89141)+P12(x89141,f329(f139(x89141,f329(f329(f7(x89141,x89141,a900),a326),f329(x89142,x89143))),x89143)) % 166.45/166.22 [8919]~P1(f329(f329(f239(a905),x89191),x89192))+P1(f329(f329(f239(a905),x89191),f329(f145(a905,a905,f82(a905),x89192),x89193))) % 166.45/166.22 [9004]~P1(f329(f329(f331(f912(x90041,x90041)),x90042),f309(x90041,x90043)))+P1(f329(f329(f331(f912(x90041,x90041)),x90042),f329(f329(f186(f912(x90041,x90041),a900),f603(x90043,x90042,x90041)),x90043))) % 166.45/166.22 [9090]~P84(x90901)+E(f329(f329(f82(x90901),x90902),f329(f145(x90901,x90901,f329(f7(x90901,x90901,x90901),f82(x90901)),f2(x90901)),f329(f171(x90901),x90903))),f329(f145(x90901,x90901,f82(x90901),x90902),x90903)) % 166.45/166.22 [9211]~P25(x92112,x92111,x92113,f247(f913(x92112,a900)),f247(f913(x92111,a900)))+E(f94(x92111,x92112,f247(f913(x92111,a900)),f94(x92112,x92111,f247(f913(x92112,a900)),x92113)),x92113) % 166.45/166.22 [9369]P57(x93691,x93692,x93693)+P1(f329(f329(f331(f912(x93691,x93692)),f329(f329(f257(x93691,x93692),f605(x93693,x93692,x93691)),f600(x93693,x93692,x93691))),x93693)) % 166.45/166.22 [9370]P57(x93701,x93702,x93703)+P1(f329(f329(f331(f912(x93701,x93702)),f329(f329(f257(x93701,x93702),f605(x93703,x93702,x93701)),f599(x93703,x93702,x93701))),x93703)) % 166.45/166.22 [9439]~P1(f329(f329(f331(f912(x94391,x94391)),x94392),f329(f329(f291(x94391,x94391,x94391),x94393),f309(x94391,x94393))))+P1(f329(f329(f331(f912(x94391,x94391)),x94392),f329(f329(f186(f912(x94391,x94391),a900),f604(x94393,x94392,x94391)),x94393))) % 166.45/166.22 [9440]~P1(f329(x94401,f329(f329(f167(x94402),x94403),f329(f192(f906(x94402)),f180(x94402,x94401,x94403)))))+~P1(f329(f329(f240(a905),f329(f192(f906(x94402)),f180(x94402,x94401,x94403))),f329(f192(f906(x94402)),x94403))) % 166.45/166.22 [9527]~P1(f329(f329(f239(f913(x95271,a900)),x95272),x95273))+P1(f329(f329(f239(f913(x95271,a900)),f329(f329(f7(x95271,f913(x95271,a900),a900),f331(x95271)),x95272)),f329(f329(f7(x95271,f913(x95271,a900),a900),f331(x95271)),x95273))) % 166.45/166.22 [9587]~P1(f329(f329(f331(f912(f913(x95871,a900),f913(x95871,a900))),f329(f329(f257(f913(x95871,a900),f913(x95871,a900)),x95872),x95873)),f316(x95871)))+P1(f329(f329(f240(f913(x95871,a900)),x95872),x95873)) % 166.45/166.22 [9611]P58(x96111,x96112,x96113)+~P1(f329(f329(f331(f912(x96111,x96111)),f329(f329(f257(x96111,x96111),f588(x96113,x96112,x96111)),f587(x96113,x96112,x96111))),x96113)) % 166.45/166.22 [9612]P58(x96121,x96122,x96123)+~P1(f329(f329(f331(f912(x96121,x96121)),f329(f329(f257(x96121,x96121),f587(x96123,x96122,x96121)),f588(x96123,x96122,x96121))),x96123)) % 166.45/166.22 [9649]~P1(f329(f329(f331(f912(f906(x96491),f906(x96491))),f329(f329(f257(f906(x96491),f906(x96491)),x96492),x96492)),f150(x96491,x96493)))+P1(f329(f329(f331(f912(x96491,x96491)),f329(f329(f257(x96491,x96491),f687(x96492,x96493,x96491)),f687(x96492,x96493,x96491))),x96493)) % 166.45/166.22 [9699]P1(f329(f329(f239(f913(x96991,a900)),x96992),x96993))+~P1(f329(f329(f239(f913(x96991,a900)),f329(f329(f7(x96991,f913(x96991,a900),a900),f331(x96991)),x96992)),f329(f329(f7(x96991,f913(x96991,a900),a900),f331(x96991)),x96993))) % 166.45/166.22 [9782]E(f329(f329(f23(a905),f329(f329(f6(a905,a905),x97821),f329(f285(a905),x97822))),f329(f329(f6(a905,a905),x97823),f329(f285(a905),x97822))),f329(f329(f6(a905,a905),f329(f329(f18(a905,a905,a905),f329(f329(f8(a905,f913(a905,a905),a905),f23(a905)),x97821)),x97823)),f329(f285(a905),x97822)))+~P1(f329(f329(f239(a905),f329(x97823,f384(x97822,x97821,x97823))),f329(x97821,f384(x97822,x97821,x97823)))) % 166.45/166.22 [5738]~P67(x57381)+E(f329(f329(f23(x57381),f329(f329(f82(x57381),x57382),x57383)),x57383),x57382) % 166.45/166.22 [5739]~P67(x57391)+E(f329(f329(f82(x57391),f329(f329(f23(x57391),x57392),x57393)),x57393),x57392) % 166.45/166.22 [5965]~P67(x59651)+E(f329(f329(f82(x59651),x59652),f329(f329(f82(x59651),f329(f81(x59651),x59652)),x59653)),x59653) % 166.45/166.22 [6048]~P86(x60481)+E(f329(f329(f83(x60481),f329(f329(f249(x60481),x60482),x60483)),x60482),f329(f329(f249(x60481),x60482),f329(a117,x60483))) % 166.45/166.22 [6049]~P118(x60491)+E(f329(f329(f83(x60491),f329(f329(f249(x60491),x60492),x60493)),x60492),f329(f329(f249(x60491),x60492),f329(a117,x60493))) % 166.45/166.22 [6270]~P117(x62701)+E(f329(f77(x62701),f329(f329(f249(x62701),f329(f81(x62701),x62702)),x62703)),f329(f77(x62701),f329(f329(f249(x62701),x62702),x62703))) % 166.45/166.22 [6322]~P86(x63221)+E(f329(f329(f83(x63221),f329(f329(f249(x63221),x63222),x63223)),x63222),f329(f329(f83(x63221),x63222),f329(f329(f249(x63221),x63222),x63223))) % 166.45/166.22 [6373]E(f329(f329(f23(a104),f329(f329(f82(a104),x63731),x63732)),x63733),f277(x63731,x63732,x63733))+~P1(f329(f329(f240(a104),x63732),x63733)) % 166.45/166.22 [6396]~E(f329(f329(f141(x63961),x63963),x63962),f118(x63961))+P1(f329(f329(f239(a905),f329(f192(f906(x63961)),x63962)),x63963)) % 166.45/166.22 [6535]E(f329(f329(f83(a905),f329(f108(a905),x65351)),f329(f329(f83(a905),f329(f108(a905),x65352)),x65353)),f2(a905))+~P1(f329(f329(f240(a1),x65351),a85)) % 166.45/166.22 [6552]~P70(x65521)+E(f329(f329(f249(x65521),f329(f329(f292(x65521),f80(x65521)),x65522)),x65523),f329(f329(f292(x65521),f80(x65521)),f329(f329(f249(x65521),x65522),x65523))) % 166.45/166.22 [6630]E(f329(f329(f23(a905),f329(f329(f82(a905),x66301),x66302)),x66303),f329(f329(f23(a905),x66301),f329(f329(f23(a905),x66303),x66302)))+~P1(f329(f329(f239(a905),x66302),x66303)) % 166.45/166.22 [6632]E(f329(f329(f23(a905),f329(f329(f82(a905),x66321),x66322)),x66323),f329(f329(f82(a905),x66321),f329(f329(f23(a905),x66322),x66323)))+~P1(f329(f329(f239(a905),x66323),x66322)) % 166.45/166.22 [6670]~P2(x66701)+P1(f329(f329(f239(x66701),f329(f329(f106(x66701),x66702),x66703)),x66703)) % 166.45/166.22 [6671]~P107(x66711)+P1(f329(f329(f239(x66711),f329(f329(f106(x66711),x66712),x66713)),x66713)) % 166.45/166.22 [6672]~P2(x66721)+P1(f329(f329(f239(x66721),f329(f329(f106(x66721),x66722),x66723)),x66722)) % 166.45/166.22 [6673]~P107(x66731)+P1(f329(f329(f239(x66731),f329(f329(f106(x66731),x66732),x66733)),x66732)) % 166.45/166.22 [6674]~P105(x66741)+P1(f329(f329(f239(x66741),f329(f329(f237(x66741),x66742),x66743)),x66743)) % 166.45/166.22 [6675]~P105(x66751)+P1(f329(f329(f239(x66751),f329(f329(f237(x66751),x66752),x66753)),x66752)) % 166.45/166.22 [6689]E(f329(f329(f38(a1),f329(f329(f38(a1),x66891),x66892)),x66893),f329(f329(f38(a1),x66891),f329(f329(f83(a1),x66892),x66893)))+~P1(f329(f329(f240(a1),f2(a1)),x66893)) % 166.45/166.22 [6740]~P118(x67401)+E(f329(f329(f82(x67401),f329(f329(f83(x67401),x67402),x67403)),x67403),f329(f329(f83(x67401),f329(f329(f82(x67401),x67402),f80(x67401))),x67403)) % 166.45/166.22 [6741]~P97(x67411)+E(f329(f329(f83(x67411),f329(f81(x67411),f329(f108(x67411),x67412))),x67413),f329(f329(f83(x67411),f329(f108(x67411),f329(f81(a1),x67412))),x67413)) % 166.45/166.22 [6814]~P84(x68141)+E(f329(f168(x68141),f329(f329(f157(x68142,x68141),f329(f16(x68141,x68142),f2(x68141))),x68143)),f2(x68141)) % 166.45/166.22 [6829]E(f329(f329(f82(a905),f329(f108(a905),x68291)),f329(f329(f82(a905),f329(f108(a905),x68292)),x68293)),f329(f329(f82(a905),f329(f108(a905),x68292)),x68293))+~P1(f329(a196,f329(f108(a1),x68291))) % 166.45/166.22 [6843]~P4(x68431)+E(f40(x68431,f329(f329(f311(x68431),x68432),f329(f329(f311(x68431),x68433),f191(f913(x68431,a900))))),f329(f329(f106(x68431),x68432),x68433)) % 166.45/166.22 [6844]~P4(x68441)+E(f39(x68441,f329(f329(f311(x68441),x68442),f329(f329(f311(x68441),x68443),f191(f913(x68441,a900))))),f329(f329(f115(x68441),x68442),x68443)) % 166.45/166.22 [6867]E(f329(f329(f178(x68671),x68672),x68673),x68673)+~P1(f329(f329(f239(a905),f329(f192(f906(x68671)),x68673)),x68672)) % 166.45/166.22 [6879]E(f329(f329(f141(x68791),x68792),x68793),f118(x68791))+~P1(f329(f329(f239(a905),f329(f192(f906(x68791)),x68793)),x68792)) % 166.45/166.22 [6890]E(f329(f329(f82(a905),f329(f329(f23(a905),x68901),x68902)),x68903),f329(f329(f23(a905),f329(f329(f82(a905),x68901),x68903)),x68902))+~P1(f329(f329(f239(a905),x68902),x68901)) % 166.45/166.22 [6904]~P1(f329(f329(f240(a905),x69041),x69043))+P1(f329(f329(f240(a905),f329(f329(f23(a905),x69041),x69042)),x69043)) % 166.45/166.22 [6931]~P105(x69311)+E(f173(x69311,x69312,f329(f329(f151(x69311,x69311,f5(x69311)),x69312),x69313)),x69313) % 166.45/166.22 [7018]E(f329(f329(f23(a905),f329(f329(f82(a905),x70181),x70182)),f329(a117,x70183)),f329(f329(f23(a905),x70181),f329(a117,f329(f329(f23(a905),x70183),x70182))))+~P1(f329(f329(f239(a905),x70182),x70183)) % 166.45/166.22 [7019]~P117(x70191)+P1(f329(f329(f239(x70191),f2(x70191)),f329(f329(f249(x70191),f329(f77(x70191),x70192)),x70193))) % 166.45/166.22 [7066]P23(x70661,x70662,x70663)+~P1(f329(f329(f239(f913(f904(x70661),a900)),x70663),x70662)) % 166.45/166.22 [7108]~P1(f329(f63(x71081),x71082))+P1(f329(f63(x71081),f329(f329(f23(f913(x71081,a900)),x71082),x71083))) % 166.45/166.22 [7109]~P1(f329(f63(x71091),x71093))+P1(f329(f63(x71091),f329(f329(f106(f913(x71091,a900)),x71092),x71093))) % 166.45/166.22 [7110]~P1(f329(f63(x71101),x71102))+P1(f329(f63(x71101),f329(f329(f106(f913(x71101,a900)),x71102),x71103))) % 166.45/166.22 [7247]~P37(x72471,x72473)+P37(x72471,f329(f329(f106(f913(f912(x72471,x72471),a900)),x72472),x72473)) % 166.45/166.22 [7248]~P37(x72481,x72482)+P37(x72481,f329(f329(f106(f913(f912(x72481,x72481),a900)),x72482),x72483)) % 166.45/166.22 [7373]~P2(x73731)+E(f10(x73731,f329(f175(x73731),f329(f329(f154(x73731),x73732),x73733))),f329(f145(x73731,x73731,f106(x73731),x73732),x73733)) % 166.45/166.22 [7374]~P2(x73741)+E(f13(x73741,f329(f175(x73741),f329(f329(f154(x73741),x73742),x73743))),f329(f145(x73741,x73741,f115(x73741),x73742),x73743)) % 166.45/166.22 [7375]~P105(x73751)+E(f14(x73751,f329(f175(x73751),f329(f329(f154(x73751),x73752),x73753))),f329(f145(x73751,x73751,f237(x73751),x73752),x73753)) % 166.45/166.22 [7376]~P105(x73761)+E(f15(x73761,f329(f175(x73761),f329(f329(f154(x73761),x73762),x73763))),f329(f145(x73761,x73761,f238(x73761),x73762),x73763)) % 166.45/166.22 [7441]~P1(f329(f63(x74411),x74412))+P1(f329(f329(f239(a905),f329(f37(x74411),x74412)),f329(f37(x74411),f329(f329(f311(x74411),x74413),x74412)))) % 166.45/166.22 [7448]E(f329(f329(f115(f913(a905,a900)),f329(f304(a905,x74481),x74482)),f329(f304(a905,x74482),f329(f329(f82(a905),x74482),x74483))),f329(f304(a905,x74481),f329(f329(f82(a905),x74482),x74483)))+~P1(f329(f329(f239(a905),x74481),x74482)) % 166.45/166.22 [7459]P1(f329(f329(f239(a905),x74591),x74592))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x74593),x74591)),x74592)) % 166.45/166.22 [7460]P1(f329(f329(f239(a905),x74601),x74602))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x74601),x74603)),x74602)) % 166.45/166.22 [7461]P1(f329(f329(f240(a905),x74611),x74612))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),x74611),x74613)),x74612)) % 166.45/166.22 [7498]~P105(x74981)+E(f11(x74981,f237(x74981),f329(f175(x74981),f329(f329(f154(x74981),x74982),x74983))),f329(f145(x74981,x74981,f237(x74981),x74982),x74983)) % 166.45/166.22 [7499]~P105(x74991)+E(f12(x74991,f238(x74991),f329(f175(x74991),f329(f329(f154(x74991),x74992),x74993))),f329(f145(x74991,x74991,f238(x74991),x74992),x74993)) % 166.45/166.22 [7503]~E(x75032,f191(f913(f912(x75031,x75031),a900)))+P1(f329(f329(f239(f913(f912(x75031,x75031),a900)),x75032),x75033)) % 166.45/166.22 [7612]E(f329(f329(f115(f913(x76121,a900)),x76122),f329(f329(f23(f913(x76121,a900)),x76123),x76122)),x76123)+~P1(f329(f329(f239(f913(x76121,a900)),x76122),x76123)) % 166.45/166.22 [7613]~P1(f329(f329(f239(a905),x76131),f329(f329(f82(a905),x76133),x76132)))+P1(f329(f329(f239(a905),f329(f329(f23(a905),x76131),x76132)),x76133)) % 166.45/166.22 [7614]~P1(f329(f329(f240(a905),x76141),f329(f329(f23(a905),x76143),x76142)))+P1(f329(f329(f240(a905),f329(f329(f82(a905),x76141),x76142)),x76143)) % 166.45/166.22 [7668]E(x76681,f118(x76682))+E(f329(f144(x76682),f329(f329(f329(f186(f906(x76682),f906(x76682)),x76683),f170(x76682)),x76681)),f329(f329(f167(x76682),x76681),f47(a905,x76683,f329(f192(f906(x76682)),x76681)))) % 166.45/166.22 [7677]E(f329(f329(f311(x76771),x76772),f329(f329(f23(f913(x76771,a900)),x76773),f329(f329(f311(x76771),x76772),f191(f913(x76771,a900))))),x76773)+~P1(f329(f329(f331(x76771),x76772),x76773)) % 166.45/166.22 [7838]P1(f329(f329(f239(a905),x78381),f329(f329(f82(a905),x78382),x78383)))+~P1(f329(f329(f239(a905),f329(f329(f23(a905),x78381),x78383)),x78382)) % 166.45/166.22 [7839]P1(f329(f329(f240(a905),x78391),f329(f329(f23(a905),x78392),x78393)))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),x78391),x78393)),x78392)) % 166.45/166.22 [7864]P1(f329(f63(x78641),x78642))+~P1(f329(f63(x78641),f329(f329(f115(f913(x78641,a900)),x78643),x78642))) % 166.45/166.22 [7865]P1(f329(f63(x78651),x78652))+~P1(f329(f63(x78651),f329(f329(f115(f913(x78651,a900)),x78652),x78653))) % 166.45/166.22 [7944]~P47(x79441,x79443)+P1(f329(f329(f331(f912(x79441,x79441)),f329(f329(f257(x79441,x79441),x79442),x79442)),x79443)) % 166.45/166.22 [8079]E(f329(f329(f167(a905),f142(a905,f329(f304(a905,x80791),x80792))),x80793),f329(f329(f82(a905),x80791),x80793))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),x80791),x80793)),x80792)) % 166.45/166.22 [8150]~P1(f329(f329(f197(f329(a26,x81501)),x81502),x81503))+P1(f329(f329(f197(f329(f236(a902),f329(a27,x81501))),x81502),x81503)) % 166.45/166.22 [8155]E(f329(f329(f178(a905),x81551),f142(a905,f329(f304(a905,x81552),x81553))),f142(a905,f329(f304(a905,x81552),f329(f329(f82(a905),x81552),x81551))))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x81552),x81551)),x81553)) % 166.45/166.22 [8212]~P97(x82121)+E(f329(f329(f249(x82121),x82122),f329(f108(a905),f329(f329(f82(a1),x82123),x82123))),f329(f329(f88(x82121,x82121),f329(f329(f249(x82121),x82122),f329(f108(a905),x82123))),f329(f329(f18(x82121,x82121,x82121),f83(x82121)),f5(x82121)))) % 166.45/166.22 [8418]P1(f329(f329(f197(f329(a26,x84181)),x84182),x84183))+~P1(f329(f329(f197(f329(f236(a902),f329(a27,x84181))),x84182),x84183)) % 166.45/166.22 [8476]E(f329(f329(f137(x84761),f329(f329(f178(x84761),x84762),x84763)),f329(f329(f154(x84761),f329(f329(f167(x84761),x84763),x84762)),f329(f329(f141(x84761),f329(a117,x84762)),x84763))),x84763)+~P1(f329(f329(f240(a905),x84762),f329(f192(f906(x84761)),x84763))) % 166.45/166.22 [8483]P1(f329(f329(f239(f913(x84831,a900)),f317(x84831,x84832)),f317(x84831,x84833)))+~P1(f329(f329(f239(f913(x84831,f913(x84831,a900))),x84833),x84832)) % 166.45/166.22 [8484]~P58(x84841,x84842,x84843)+P58(x84841,x84842,f329(f329(f23(f913(f912(x84841,x84841),a900)),x84843),f309(x84841,f191(f913(f912(x84841,x84841),a900))))) % 166.45/166.22 [8504]P1(f329(f329(f239(f913(x85041,a900)),f318(x85041,x85042)),f318(x85041,x85043)))+~P1(f329(f329(f239(f913(f912(x85041,x85041),a900)),x85043),x85042)) % 166.45/166.22 [8511]~P128(x85111)+P1(f329(f329(f239(x85111),f2(x85111)),f329(f329(f82(x85111),f329(f329(f83(x85111),x85112),x85112)),f329(f329(f83(x85111),x85113),x85113)))) % 166.45/166.22 [8545]P1(f329(f329(f239(f913(x85451,a900)),f329(f284(x85451),x85452)),f329(f284(x85451),x85453)))+~P1(f329(f329(f239(f913(f912(x85451,x85451),a900)),x85452),x85453)) % 166.45/166.22 [8580]~P56(x85801,x85802)+~P1(f329(f329(f331(f912(x85801,x85801)),f329(f329(f257(x85801,x85801),x85803),x85803)),x85802)) % 166.45/166.22 [8582]~P37(x85821,x85822)+~P1(f329(f329(f331(f912(x85821,x85821)),f329(f329(f257(x85821,x85821),x85823),x85823)),x85822)) % 166.45/166.22 [8647]P1(f329(f329(f239(f913(x86471,a900)),f40(f913(x86471,a900),x86472)),f40(f913(x86471,a900),x86473)))+~P1(f329(f329(f239(f913(f913(x86471,a900),a900)),x86473),x86472)) % 166.45/166.22 [8648]P1(f329(f329(f239(f913(x86481,a900)),f39(f913(x86481,a900),x86482)),f39(f913(x86481,a900),x86483)))+~P1(f329(f329(f239(f913(f913(x86481,a900),a900)),x86482),x86483)) % 166.45/166.22 [8701]~P7(x87011,x87013,x87012)+P1(f329(f329(f239(f913(f912(x87011,x87011),a900)),x87012),f329(f329(f259(x87011,x87011),x87013),f329(f16(f913(x87011,a900),x87011),x87013)))) % 166.45/166.22 [8702]~P55(x87021,x87023,x87022)+P1(f329(f329(f239(f913(f912(x87021,x87021),a900)),x87022),f329(f329(f259(x87021,x87021),x87023),f329(f16(f913(x87021,a900),x87021),x87023)))) % 166.45/166.22 [8748]~P89(x87481)+P1(f329(f329(f239(x87481),f329(f329(f23(x87481),f329(f77(x87481),x87482)),f329(f77(x87481),x87483))),f329(f77(x87481),f329(f329(f23(x87481),x87483),x87482)))) % 166.45/166.22 [8749]~P89(x87491)+P1(f329(f329(f239(x87491),f329(f329(f23(x87491),f329(f77(x87491),x87492)),f329(f77(x87491),x87493))),f329(f77(x87491),f329(f329(f23(x87491),x87492),x87493)))) % 166.45/166.22 [8780]P1(f329(f329(f239(f913(f912(x87801,x87801),a900)),f309(x87801,x87802)),f309(x87801,x87803)))+~P1(f329(f329(f239(f913(f912(x87801,x87801),a900)),x87802),x87803)) % 166.45/166.22 [8878]~P24(x88782,x88781,x88783,f247(f913(x88782,a900)))+E(f329(f74(x88781,x88782,x88782,f94(x88782,x88781,f247(f913(x88782,a900)),x88783)),x88783),f33(x88782)) % 166.45/166.22 [8937]P58(x89371,x89372,x89373)+~P58(x89371,x89372,f329(f329(f23(f913(f912(x89371,x89371),a900)),x89373),f309(x89371,f191(f913(f912(x89371,x89371),a900))))) % 166.45/166.22 [8955]P1(f329(f329(f239(f913(f912(f906(x89551),f906(x89551)),a900)),f160(x89551,x89552)),f160(x89551,x89553)))+~P1(f329(f329(f239(f913(f912(x89551,x89551),a900)),x89552),x89553)) % 166.45/166.22 [8956]P1(f329(f329(f239(f913(f912(f906(x89561),f906(x89561)),a900)),f161(x89561,x89562)),f161(x89561,x89563)))+~P1(f329(f329(f239(f913(f912(x89561,x89561),a900)),x89562),x89563)) % 166.45/166.22 [8977]~P55(x89771,x89773,x89772)+P1(f329(f329(f239(f913(f912(x89771,x89771),a900)),x89772),f329(f329(f291(x89771,x89771,x89771),f329(f289(x89771,x89771),x89772)),x89772))) % 166.45/166.22 [9033]~P1(f329(f140(x90331),x90332))+E(f329(f139(x90331,f329(f329(f7(x90331,f913(x90331,a900),a900),f331(x90331)),f329(f175(x90331),f179(x90331,x90332,x90333)))),x90332),f179(x90331,x90332,x90333)) % 166.45/166.22 [9088]E(x90881,x90882)+~P1(f329(f329(f331(f912(x90883,x90883)),f329(f329(f257(x90883,x90883),x90881),x90882)),f309(x90883,f191(f913(f912(x90883,x90883),a900))))) % 166.45/166.22 [9174]P1(f329(f329(f331(x91741),x91742),f318(x91741,x91743)))+P1(f329(f329(f331(f912(x91741,x91741)),f329(f329(f257(x91741,x91741),f528(x91743,x91742,x91741)),x91742)),x91743)) % 166.45/166.22 [9175]P1(f329(f329(f331(x91751),x91752),f318(x91751,x91753)))+P1(f329(f329(f331(f912(x91751,x91751)),f329(f329(f257(x91751,x91751),f589(x91753,x91752,x91751)),x91752)),x91753)) % 166.45/166.22 [9176]P1(f329(f329(f331(x91761),x91762),f318(x91761,x91763)))+P1(f329(f329(f331(f912(x91761,x91761)),f329(f329(f257(x91761,x91761),f591(x91763,x91762,x91761)),x91762)),x91763)) % 166.45/166.22 [9212]P24(x92121,x92122,x92123,f247(f913(x92121,a900)))+~E(f329(f74(x92122,x92121,x92121,f94(x92121,x92122,f247(f913(x92121,a900)),x92123)),x92123),f33(x92121)) % 166.45/166.22 [9272]~P1(f329(f329(f331(f906(x92721)),x92723),f164(x92721,x92722)))+P1(f329(f163(x92721,f329(f329(f7(x92721,f913(x92721,a900),a900),f331(x92721)),x92722)),x92723)) % 166.45/166.22 [9296]P1(f329(x92963,x92962))+E(f329(f267(x92961),f329(f329(f18(x92961,a900,a900),f329(f329(f8(a900,f913(a900,a900),x92961),a327),f329(a326,x92962))),x92963)),f191(f913(x92961,a900))) % 166.45/166.22 [9313]~P89(x93131)+P1(f329(f329(f239(x93131),f329(f77(x93131),f329(f329(f23(x93131),f329(f77(x93131),x93132)),f329(f77(x93131),x93133)))),f329(f77(x93131),f329(f329(f23(x93131),x93132),x93133)))) % 166.45/166.22 [9328]~P1(f329(x93283,x93282))+E(f329(f267(x93281),f329(f329(f18(x93281,a900,a900),f329(f329(f8(a900,f913(a900,a900),x93281),a327),f329(a326,x93282))),x93283)),f329(f329(f311(x93281),x93282),f191(f913(x93281,a900)))) % 166.45/166.22 [9335]~P1(f329(f329(f331(f913(x93351,a900)),x93353),f329(f310(x93351),x93352)))+P1(f329(f253(x93351,f329(f329(f7(x93351,f913(x93351,a900),a900),f331(x93351)),x93352)),x93353)) % 166.45/166.22 [9368]P37(x93681,x93682)+P1(f329(f329(f331(f912(x93681,x93681)),f329(f329(f257(x93681,x93681),f329(f536(x93682,x93681),f329(a117,x93683))),f329(f536(x93682,x93681),x93683))),x93682)) % 166.45/166.22 [9507]P1(f329(f329(f331(f906(x95071)),x95072),f164(x95071,x95073)))+~P1(f329(f163(x95071,f329(f329(f7(x95071,f913(x95071,a900),a900),f331(x95071)),x95073)),x95072)) % 166.45/166.22 [9519]P1(f329(f329(f331(f913(x95191,a900)),x95192),f329(f310(x95191),x95193)))+~P1(f329(f253(x95191,f329(f329(f7(x95191,f913(x95191,a900),a900),f331(x95191)),x95193)),x95192)) % 166.45/166.22 [9582]P1(f329(f329(f331(x95821),f329(f273(x95821,x95822),x95823)),f329(f175(x95821),f329(f329(f157(f912(a104,x95821),x95821),f261(a104,x95821)),x95822))))+~P1(f329(f329(f240(a104),x95823),f329(f168(a104),f329(f329(f157(f912(a104,x95821),a104),f256(a104,x95821)),x95822)))) % 166.45/166.22 [9629]P1(f329(f329(f239(f913(f912(f906(x96291),f906(x96291)),a900)),f161(x96291,x96292)),f329(f329(f259(f906(x96291),f906(x96291)),f164(x96291,x96293)),f329(f16(f913(f906(x96291),a900),f906(x96291)),f164(x96291,x96293)))))+~P1(f329(f329(f239(f913(f912(x96291,x96291),a900)),x96292),f329(f329(f259(x96291,x96291),x96293),f329(f16(f913(x96291,a900),x96291),x96293)))) % 166.45/166.22 [9652]P1(f329(f329(f331(x96521),f329(f256(x96521,f912(a104,a104)),f329(f271(x96521,x96522),x96523))),f329(f175(x96521),f329(f329(f157(f912(a104,x96521),x96521),f261(a104,x96521)),x96522))))+~P1(f329(f329(f240(a104),f2(a104)),f329(f168(a104),f329(f329(f157(f912(a104,x96521),a104),f256(a104,x96521)),x96522)))) % 166.45/166.22 [9667]~P1(f329(f329(f239(f913(f912(x96671,x96671),a900)),x96672),f329(f329(f259(x96671,x96671),x96673),f329(f16(f913(x96671,a900),x96671),x96673))))+P1(f329(f329(f239(f913(f912(x96671,x96671),a900)),f329(f329(f291(x96671,x96671,x96671),x96672),f309(x96671,x96672))),f329(f329(f259(x96671,x96671),x96673),f329(f16(f913(x96671,a900),x96671),x96673)))) % 166.45/166.22 [9969]~P37(x99691,x99692)+~P1(f329(f329(f331(f912(x99691,x99691)),f329(f329(f257(x99691,x99691),f329(x99693,f329(a117,f537(x99692,x99691,x99693)))),f329(x99693,f537(x99692,x99691,x99693)))),x99692)) % 166.45/166.22 [9970]~P37(x99701,x99702)+~P1(f329(f329(f331(f912(x99701,x99701)),f329(f329(f257(x99701,x99701),f329(x99703,f329(a117,f596(x99703,x99702,x99701)))),f329(x99703,f596(x99703,x99702,x99701)))),x99702)) % 166.45/166.22 [10215]P1(f329(f329(f239(f913(f912(f913(x102151,a900),f913(x102151,a900)),a900)),f329(f329(f291(f913(x102151,a900),f913(x102151,a900),f913(x102151,a900)),f320(x102151,x102152)),f329(f329(f115(f913(f912(f913(x102151,a900),f913(x102151,a900)),a900)),f320(x102151,x102153)),f329(f329(f311(f912(f913(x102151,a900),f913(x102151,a900))),f329(f329(f257(f913(x102151,a900),f913(x102151,a900)),f191(f913(x102151,a900))),f191(f913(x102151,a900)))),f191(f913(f912(f913(x102151,a900),f913(x102151,a900)),a900)))))),f320(x102151,x102152)))+~P1(f329(f329(f239(f913(f912(x102151,x102151),a900)),f329(f329(f291(x102151,x102151,x102151),x102152),x102153)),x102152)) % 166.45/166.22 [10216]P1(f329(f329(f239(f913(f912(f913(x102161,a900),f913(x102161,a900)),a900)),f329(f329(f291(f913(x102161,a900),f913(x102161,a900),f913(x102161,a900)),f321(x102161,x102162)),f329(f329(f115(f913(f912(f913(x102161,a900),f913(x102161,a900)),a900)),f321(x102161,x102163)),f329(f329(f311(f912(f913(x102161,a900),f913(x102161,a900))),f329(f329(f257(f913(x102161,a900),f913(x102161,a900)),f191(f913(x102161,a900))),f191(f913(x102161,a900)))),f191(f913(f912(f913(x102161,a900),f913(x102161,a900)),a900)))))),f321(x102161,x102162)))+~P1(f329(f329(f239(f913(f912(x102161,x102161),a900)),f329(f329(f291(x102161,x102161,x102161),x102162),x102163)),x102162)) % 166.45/166.22 [7372]~P1(f329(f329(f239(a905),x73722),x73721))+E(f329(f329(f23(a905),f329(a117,f329(f329(f23(a905),x73721),x73722))),x73723),f329(f329(f23(a905),f329(a117,x73721)),f329(f329(f82(a905),x73722),x73723))) % 166.45/166.22 [7411]~P63(x74111)+E(f329(f329(f82(x74111),f47(x74111,x74112,x74113)),f329(f329(f83(x74111),f329(f329(f38(x74111),x74112),x74113)),x74113)),x74112) % 166.45/166.22 [7618]E(f329(f329(f83(a905),f329(f108(a905),x76181)),f329(f329(f83(a905),f329(f108(a905),x76182)),x76183)),f329(f329(f83(a905),f329(f108(a905),f329(f329(f83(a1),x76181),x76182))),x76183))+P1(f329(f329(f240(a1),x76181),a85)) % 166.45/166.22 [8090]~P1(f329(f329(f239(a905),x80903),x80902))+P1(f329(f329(f239(a905),x80901),f329(f329(f23(a905),f329(f329(f82(a905),x80902),x80901)),x80903))) % 166.45/166.22 [8296]~P1(f329(f329(f239(a905),x82961),x82962))+E(f329(f329(f137(a905),f142(a905,f329(f304(a905,x82961),x82962))),f142(a905,f329(f304(a905,x82962),f329(f329(f82(a905),x82962),x82963)))),f142(a905,f329(f304(a905,x82961),f329(f329(f82(a905),x82962),x82963)))) % 166.45/166.22 [8554]~P1(f329(f63(x85541),x85542))+E(f329(a117,f329(f37(x85541),f329(f329(f23(f913(x85541,a900)),x85542),f329(f329(f311(x85541),x85543),f191(f913(x85541,a900)))))),f329(f37(x85541),f329(f329(f311(x85541),x85543),x85542))) % 166.45/166.22 [8601]~P1(f329(f63(x86011),x86012))+E(f329(f329(f82(a905),f80(a905)),f329(f37(x86011),f329(f329(f23(f913(x86011,a900)),x86012),f329(f329(f311(x86011),x86013),f191(f913(x86011,a900)))))),f329(f37(x86011),f329(f329(f311(x86011),x86013),x86012))) % 166.45/166.22 [8788]E(f329(f329(f23(a905),f329(f37(x87881),x87882)),f329(f37(x87881),f329(f329(f106(f913(x87881,a900)),x87882),x87883))),f329(f37(x87881),f329(f329(f23(f913(x87881,a900)),x87882),x87883)))+~P1(f329(f63(x87881),f329(f329(f106(f913(x87881,a900)),x87882),x87883))) % 166.45/166.22 [9028]~P5(f329(x90282,f395(x90282,x90283,x90281)))+E(f329(f105(a1),f329(f329(f6(x90281,a905),f329(f329(f8(a1,a905,x90281),a109),x90282)),x90283)),f329(f329(f6(x90281,a1),x90282),x90283)) % 166.45/166.22 [9029]~P5(f329(x90292,f468(x90292,x90293,x90291)))+E(f329(f105(a1),f329(f329(f9(x90291,a905),f329(f329(f8(a1,a905,x90291),a109),x90292)),x90293)),f329(f329(f9(x90291,a1),x90292),x90293)) % 166.45/166.22 [9072]~P1(f329(f63(x90721),x90723))+P1(f329(f329(f239(a905),f329(f329(f23(a905),f329(f37(x90721),x90722)),f329(f37(x90721),x90723))),f329(f37(x90721),f329(f329(f23(f913(x90721,a900)),x90722),x90723)))) % 166.45/166.22 [9099]P1(f329(f329(f331(x90991),f395(x90992,x90993,x90991)),x90993))+E(f329(f105(a1),f329(f329(f6(x90991,a905),f329(f329(f8(a1,a905,x90991),a109),x90992)),x90993)),f329(f329(f6(x90991,a1),x90992),x90993)) % 166.45/166.22 [9100]P1(f329(f329(f331(x91001),f468(x91002,x91003,x91001)),x91003))+E(f329(f105(a1),f329(f329(f9(x91001,a905),f329(f329(f8(a1,a905,x91001),a109),x91002)),x91003)),f329(f329(f9(x91001,a1),x91002),x91003)) % 166.45/166.22 [9166]E(f87(x91661,f329(f329(f7(x91661,f913(x91661,a900),a900),f331(x91661)),f329(f329(f23(f913(x91661,a900)),x91662),f329(f329(f311(x91661),x91663),f191(f913(x91661,a900)))))),f252(x91661,x91663,x91662))+P1(f329(f329(f239(f913(x91661,a900)),x91662),f329(f329(f311(x91661),x91663),f191(f913(x91661,a900))))) % 166.45/166.22 [9520]E(f329(f329(f157(f906(x95201),x95201),f329(f329(f7(f906(x95201),a905,x95201),f167(x95201)),x95202)),f329(f139(f906(x95201),f329(f329(f8(a905,a900,f906(x95201)),f329(f240(a905),x95202)),f192(f906(x95201)))),x95203)),f329(f329(f167(f906(x95201)),f182(x95201,x95203)),x95202))+~P1(f329(f329(f240(a905),x95202),f329(f192(f906(f906(x95201))),f182(x95201,x95203)))) % 166.45/166.22 [9602]E(f329(f139(x96021,x96022),x96023),f180(x96021,x96022,x96023))+P1(f329(f329(f331(x96021),f747(x96023,x96022,x96021)),f329(f175(x96021),f329(f329(f141(x96021),f329(f192(f906(x96021)),f180(x96021,x96022,x96023))),x96023)))) % 166.45/166.22 [9742]E(f329(f329(f141(x97421),f329(f192(f906(x97421)),f180(x97421,x97422,x97423))),x97423),f118(x97421))+~P1(f329(x97422,f329(f144(x97421),f329(f329(f141(x97421),f329(f192(f906(x97421)),f180(x97421,x97422,x97423))),x97423)))) % 166.45/166.22 [9835]~P1(f329(f329(f331(f912(x98351,x98351)),x98352),f309(x98351,x98353)))+P1(f329(f329(f331(f912(x98351,x98351)),x98352),f329(f329(f41(a905,f913(f912(x98351,x98351),a900)),f247(f913(a905,a900))),f329(f329(f7(a905,f913(f912(x98351,x98351),a900),f913(f912(x98351,x98351),a900)),f186(f912(x98351,x98351),a900)),x98353)))) % 166.45/166.22 [9895]~P1(f329(f329(f239(f913(x98951,a900)),f329(f329(f41(a905,f913(x98951,a900)),f329(f304(a905,f2(a905)),f434(x98953,x98952,x98951))),x98952)),x98953))+P1(f329(f329(f239(f913(x98951,a900)),f329(f329(f41(a905,f913(x98951,a900)),f247(f913(a905,a900))),x98952)),x98953)) % 166.45/166.22 [9944]~P1(f329(f329(f240(a1),f2(a1)),x99443))+P1(f329(f329(f240(a1),x99441),f329(f329(f82(a1),x99442),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x99442),x99441))),f80(a1))),x99443)))) % 166.45/166.22 [9956]~P37(x99561,f329(f329(f115(f913(f912(x99561,x99561),a900)),x99562),x99563))+P37(x99561,f329(f329(f115(f913(f912(x99561,x99561),a900)),f329(f329(f115(f913(f912(x99561,x99561),a900)),f329(f329(f291(x99561,x99561,x99561),x99562),x99562)),f329(f329(f291(x99561,x99561,x99561),x99563),x99562))),x99563)) % 166.45/166.22 [10029]P37(x100291,f329(f329(f115(f913(f912(x100291,x100291),a900)),x100292),x100293))+~P37(x100291,f329(f329(f115(f913(f912(x100291,x100291),a900)),f329(f329(f115(f913(f912(x100291,x100291),a900)),f329(f329(f291(x100291,x100291,x100291),x100292),x100292)),f329(f329(f291(x100291,x100291,x100291),x100293),x100292))),x100293)) % 166.45/166.22 [9605]~P142(x96051)+E(f329(f107(x96051),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x96052),x96053)),f191(f913(f912(a905,a905),a900)))))),f329(f329(f23(x96051),f329(f105(x96051),x96052)),f329(f105(x96051),x96053))) % 166.45/166.22 [9687]P1(f329(x96873,x96872))+E(f329(f267(x96871),f329(f329(f18(x96871,a900,a900),f329(f329(f8(a900,f913(a900,a900),x96871),a327),f329(f329(f7(x96871,x96871,a900),a326),x96872))),x96873)),f191(f913(x96871,a900))) % 166.45/166.22 [9689]~P1(f329(x96893,x96892))+E(f329(f267(x96891),f329(f329(f18(x96891,a900,a900),f329(f329(f8(a900,f913(a900,a900),x96891),a327),f329(f329(f7(x96891,x96891,a900),a326),x96892))),x96893)),f329(f329(f311(x96891),x96892),f191(f913(x96891,a900)))) % 166.45/166.22 [9923]E(x99231,x99232)+P1(f329(f329(f248(x99233,x99233,f329(f329(f8(f913(x99233,a900),f913(x99233,a900),x99233),f329(f8(a900,a900,x99233),a324)),a326)),x99231),x99232)) % 166.45/166.22 [10009]~E(x100091,x100092)+~P1(f329(f329(f248(x100093,x100093,f329(f329(f8(f913(x100093,a900),f913(x100093,a900),x100093),f329(f8(a900,a900,x100093),a324)),a326)),x100091),x100092)) % 166.45/166.22 [10021]~P1(f329(f63(x100211),x100213))+E(f329(f329(f66(x100211,f913(x100211,a900),f329(f329(f8(f913(x100211,a900),f913(f913(x100211,a900),f913(x100211,a900)),x100211),f329(f7(f913(x100211,a900),f913(x100211,a900),f913(x100211,a900)),f23(f913(x100211,a900)))),f329(f329(f7(x100211,f913(x100211,a900),f913(x100211,a900)),f311(x100211)),f191(f913(x100211,a900))))),x100212),x100213),f329(f329(f23(f913(x100211,a900)),x100212),x100213)) % 166.45/166.22 [10052]~P1(f329(f329(f240(a1),f2(a1)),x100523))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x100521),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x100521),x100522))),f80(a1))),x100523))),x100522)) % 166.45/166.22 [10294]~P1(f329(f329(f331(x102941),x102943),f318(x102941,x102942)))+P1(f329(f317(x102941,f329(f329(f7(x102941,f913(f912(x102941,x102941),a900),f913(x102941,a900)),f329(f329(f8(f913(x102941,f913(f913(f912(x102941,x102941),a900),a900)),f913(f913(f912(x102941,x102941),a900),f913(x102941,a900)),x102941),f7(x102941,f913(f912(x102941,x102941),a900),a900)),f329(f329(f8(f913(x102941,f912(x102941,x102941)),f913(x102941,f913(f913(f912(x102941,x102941),a900),a900)),x102941),f329(f8(f912(x102941,x102941),f913(f913(f912(x102941,x102941),a900),a900),x102941),f331(f912(x102941,x102941)))),f257(x102941,x102941)))),x102942)),x102943)) % 166.45/166.22 [10307]P1(f329(f329(f331(x103071),x103072),f318(x103071,x103073)))+~P1(f329(f317(x103071,f329(f329(f7(x103071,f913(f912(x103071,x103071),a900),f913(x103071,a900)),f329(f329(f8(f913(x103071,f913(f913(f912(x103071,x103071),a900),a900)),f913(f913(f912(x103071,x103071),a900),f913(x103071,a900)),x103071),f7(x103071,f913(f912(x103071,x103071),a900),a900)),f329(f329(f8(f913(x103071,f912(x103071,x103071)),f913(x103071,f913(f913(f912(x103071,x103071),a900),a900)),x103071),f329(f8(f912(x103071,x103071),f913(f913(f912(x103071,x103071),a900),a900),x103071),f331(f912(x103071,x103071)))),f257(x103071,x103071)))),x103073)),x103072)) % 166.45/166.22 [9893]~P1(f329(f63(x98931),f329(f267(x98931),x98933)))+P1(f329(f63(x98931),f329(f267(x98931),f329(f329(f18(x98931,a900,a900),f329(f329(f8(a900,f913(a900,a900),x98931),a327),x98932)),x98933)))) % 166.45/166.22 [9894]~P1(f329(f63(x98941),f329(f267(x98941),x98942)))+P1(f329(f63(x98941),f329(f267(x98941),f329(f329(f18(x98941,a900,a900),f329(f329(f8(a900,f913(a900,a900),x98941),a327),x98942)),x98943)))) % 166.45/166.22 [9988]P1(f329(f63(x99881),f329(f267(x99881),x99882)))+~P1(f329(f63(x99881),f329(f267(x99881),f329(f329(f18(x99881,a900,a900),f329(f329(f8(a900,f913(a900,a900),x99881),a328),x99883)),x99882)))) % 166.45/166.22 [9989]P1(f329(f63(x99891),f329(f267(x99891),x99892)))+~P1(f329(f63(x99891),f329(f267(x99891),f329(f329(f18(x99891,a900,a900),f329(f329(f8(a900,f913(a900,a900),x99891),a328),x99892)),x99893)))) % 166.45/166.22 [10274]~P1(f329(f63(x102741),x102742))+P1(f329(f63(f906(x102741)),f329(f267(f906(x102741)),f329(f329(f18(f906(x102741),a900,a900),f329(f329(f8(a900,f913(a900,a900),f906(x102741)),a327),f329(f329(f7(f906(x102741),f913(x102741,a900),a900),f329(f329(f8(f913(x102741,a900),f913(f913(x102741,a900),a900),f906(x102741)),f239(f913(x102741,a900))),f175(x102741))),x102742))),f329(f329(f7(f906(x102741),a905,a900),f329(f329(f8(a905,f913(a905,a900),f906(x102741)),a326),f192(f906(x102741)))),x102743))))) % 166.45/166.22 [10275]~P1(f329(f63(x102751),x102752))+P1(f329(f63(f906(x102751)),f329(f267(f906(x102751)),f329(f329(f18(f906(x102751),a900,a900),f329(f329(f8(a900,f913(a900,a900),f906(x102751)),a327),f329(f329(f7(f906(x102751),f913(x102751,a900),a900),f329(f329(f8(f913(x102751,a900),f913(f913(x102751,a900),a900),f906(x102751)),f239(f913(x102751,a900))),f175(x102751))),x102752))),f329(f329(f7(f906(x102751),a905,a900),f329(f329(f8(a905,f913(a905,a900),f906(x102751)),f239(a905)),f192(f906(x102751)))),x102753))))) % 166.45/166.22 [10002]~P118(x100021)+E(f329(f329(f249(x100021),x100022),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100023)),f329(f329(f83(x100021),f329(f329(f249(x100021),x100022),x100023)),f329(f329(f249(x100021),x100022),x100023))) % 166.45/166.22 [10033]~P86(x100331)+E(f329(f329(f249(x100331),f329(f329(f249(x100331),x100332),x100333)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x100331),x100332),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100333))) % 166.45/166.22 [10078]~P142(x100781)+E(f329(f329(f249(x100781),f329(f81(x100781),x100782)),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100783)),f329(f329(f249(x100781),x100782),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100783))) % 166.45/166.22 [10222]~P117(x102221)+P1(f329(f329(f239(x102221),f2(x102221)),f329(f329(f82(x102221),f329(f329(f249(x102221),x102222),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102221),x102223),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))) % 166.45/166.22 [10088]~P118(x100881)+E(f329(f329(f249(x100881),x100882),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100883))),f329(f329(f83(x100881),x100882),f329(f329(f83(x100881),f329(f329(f249(x100881),x100882),x100883)),f329(f329(f249(x100881),x100882),x100883)))) % 166.45/166.22 [10138]~P86(x101381)+E(f329(f329(f83(x101381),x101382),f329(f329(f249(x101381),f329(f329(f249(x101381),x101382),x101383)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101381),x101382),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101383)))) % 166.45/166.22 [10176]~P117(x101761)+P1(f329(f329(f239(x101761),f2(x101761)),f329(f329(f249(x101761),x101762),f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101763)))) % 166.45/166.22 [10252]~P97(x102521)+E(f329(f329(f23(x102521),f329(f329(f82(x102521),f329(f329(f249(x102521),x102522),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102521),x102523),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(f329(f83(x102521),f329(f329(f83(x102521),f329(f108(x102521),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102522)),x102523)),f329(f329(f249(x102521),f329(f329(f23(x102521),x102522),x102523)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [10253]~P97(x102531)+E(f329(f329(f82(x102531),f329(f329(f82(x102531),f329(f329(f249(x102531),x102532),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102531),x102533),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(f329(f83(x102531),f329(f329(f83(x102531),f329(f108(x102531),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102532)),x102533)),f329(f329(f249(x102531),f329(f329(f82(x102531),x102532),x102533)),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.22 [4773]E(x47731,x47732)+~E(f32(x47733,x47731),f32(x47734,x47732)) % 166.45/166.22 [4774]E(x47741,x47742)+~E(f32(x47741,x47743),f32(x47742,x47744)) % 166.45/166.22 [4775]E(x47751,x47752)+~E(f31(x47753,x47751),f31(x47754,x47752)) % 166.45/166.22 [4776]E(x47761,x47762)+~E(f31(x47761,x47763),f31(x47762,x47764)) % 166.45/166.22 [5929]P42(f31(x59291,x59293),x59292,x59294,x59292)+P1(f329(x59291,x59292)) % 166.45/166.22 [7055]~P42(x70551,x70552,x70553,x70554)+P42(x70551,x70552,f329(a117,x70553),x70554) % 166.45/166.22 [7883]P24(x78831,x78832,x78833,x78834)+~E(f657(x78834,x78833,x78832,x78831),f664(x78834,x78833,x78832,x78831)) % 166.45/166.22 [8188]P34(x81881,x81882,x81883,x81884,f118(x81882))+~E(x81884,f118(x81881)) % 166.45/166.22 [8189]P34(x81891,x81892,x81893,f118(x81891),x81894)+~E(x81894,f118(x81892)) % 166.45/166.22 [8738]~P34(x87382,x87383,x87384,x87381,f118(x87383))+E(x87381,f118(x87382)) % 166.45/166.22 [8739]~P34(x87393,x87392,x87394,f118(x87393),x87391)+E(x87391,f118(x87392)) % 166.45/166.22 [5155]~P16(x51553,x51551,x51554)+E(f329(f329(x51551,x51552),x51552),x51552) % 166.45/166.22 [5411]P1(f329(x54112,x54114))+E(f329(f139(x54111,x54112),f172(x54111,x54113,x54114)),f118(x54111)) % 166.45/166.22 [5448]~E(x54484,f191(f913(x54481,a900)))+E(f329(f312(x54481,x54482,x54483),x54484),f191(f913(x54482,a900))) % 166.45/166.22 [5688]~P1(f329(x56882,x56884))+E(f329(f139(x56881,x56882),f172(x56881,x56883,x56884)),f172(x56881,x56883,x56884)) % 166.45/166.22 [5717]~E(f329(f312(x57172,x57173,x57174),x57171),f191(f913(x57173,a900)))+E(x57171,f191(f913(x57172,a900))) % 166.45/166.22 [6008]~P105(x60082)+E(f329(f329(f151(x60081,x60082,x60083),x60084),f118(x60081)),f329(f329(f154(x60081),x60084),f118(x60081))) % 166.45/166.22 [6367]~E(x63671,f191(f913(x63672,a900)))+~P1(f329(f64(x63672,x63673,x63671),x63674)) % 166.45/166.22 [6389]~P61(x63891,x63893,x63894,x63892)+P1(f329(f63(x63891),x63892)) % 166.45/166.22 [6391]~P61(x63911,x63913,x63912,x63914)+P1(f329(f63(x63911),x63912)) % 166.45/166.22 [6398]~P61(x63982,x63983,x63984,x63981)+~E(x63981,f191(f913(x63982,a900))) % 166.45/166.22 [6429]~P112(x64291)+E(f329(f329(f106(f913(x64291,a900)),f329(f304(x64291,x64292),x64293)),f305(x64291,x64293,x64294)),f191(f913(x64291,a900))) % 166.45/166.22 [6456]~P1(f329(f329(x64563,x64564),x64562))+P1(f329(f329(f331(x64561),x64562),f295(x64561,x64563,x64564))) % 166.45/166.22 [6457]~P1(f329(f329(x64573,x64574),x64572))+P1(f329(f329(f331(x64571),x64572),f296(x64571,x64573,x64574))) % 166.45/166.22 [6458]~P1(f329(f329(x64583,x64582),x64584))+P1(f329(f329(f331(x64581),x64582),f300(x64581,x64583,x64584))) % 166.45/166.22 [6459]~P1(f329(f329(x64593,x64592),x64594))+P1(f329(f329(f331(x64591),x64592),f297(x64591,x64593,x64594))) % 166.45/166.22 [6526]~P51(x65264,x65261,x65262,x65263)+P1(f329(f329(x65261,x65262),x65263)) % 166.45/166.22 [6605]~P112(x66051)+E(f329(f329(f106(f913(x66051,a900)),f305(x66051,x66052,x66053)),f307(x66051,x66053,x66054)),f191(f913(x66051,a900))) % 166.45/166.22 [6606]~P112(x66061)+E(f329(f329(f106(f913(x66061,a900)),f305(x66061,x66062,x66063)),f308(x66061,x66063,x66064)),f191(f913(x66061,a900))) % 166.45/166.22 [6607]~P112(x66071)+E(f329(f329(f106(f913(x66071,a900)),f307(x66071,x66072,x66073)),f307(x66071,x66073,x66074)),f191(f913(x66071,a900))) % 166.45/166.22 [6608]~P112(x66081)+E(f329(f329(f106(f913(x66081,a900)),f307(x66081,x66082,x66083)),f308(x66081,x66083,x66084)),f191(f913(x66081,a900))) % 166.45/166.22 [6609]~P112(x66091)+E(f329(f329(f106(f913(x66091,a900)),f308(x66091,x66092,x66093)),f305(x66091,x66093,x66094)),f191(f913(x66091,a900))) % 166.45/166.22 [6646]P1(f329(f329(x66461,x66462),f532(x66462,x66461)))+~P1(f329(f254(x66463,x66464,x66461),x66462)) % 166.45/166.22 [6650]~P51(x66501,x66502,x66503,x66504)+~P1(f329(f329(x66502,x66504),x66503)) % 166.45/166.22 [6727]~P105(x67272)+E(f329(f175(x67271),f153(x67271,x67272,x67273,x67274)),f329(f175(x67271),x67274)) % 166.45/166.22 [6778]~P147(x67781)+E(f193(x67781,x67782,f329(a117,x67783),x67784),f193(x67781,x67782,x67783,f329(x67782,x67784))) % 166.45/166.22 [6838]~P1(f329(f329(f331(x68384),x68383),f295(x68384,x68381,x68382)))+P1(f329(f329(x68381,x68382),x68383)) % 166.45/166.22 [6839]~P1(f329(f329(f331(x68394),x68393),f296(x68394,x68391,x68392)))+P1(f329(f329(x68391,x68392),x68393)) % 166.45/166.22 [6840]~P1(f329(f329(f331(x68404),x68402),f300(x68404,x68401,x68403)))+P1(f329(f329(x68401,x68402),x68403)) % 166.45/166.22 [6841]~P1(f329(f329(f331(x68414),x68412),f297(x68414,x68411,x68413)))+P1(f329(f329(x68411,x68412),x68413)) % 166.45/166.22 [6916]E(f329(f37(f911(x69161,x69162)),f315(x69161,x69162,x69163,x69164)),f2(a905))+P1(f329(f63(x69162),x69164)) % 166.45/166.22 [6917]E(f329(f37(f911(x69171,x69172)),f315(x69171,x69172,x69173,x69174)),f2(a905))+P1(f329(f63(x69171),x69173)) % 166.45/166.22 [7116]~P13(x71164,x71161,x71162)+E(f329(f74(x71161,x71161,x71161,f329(x71162,x71163)),f329(x71162,x71163)),f329(x71162,x71163)) % 166.45/166.22 [7357]E(f280(x73571,x73572,x73573,x73574),f329(f257(f913(a104,f913(a900,f909(f907(x73571)))),f912(a104,a104)),f43(x73571)))+~P1(f329(f329(f239(a104),x73573),f2(a104))) % 166.45/166.22 [7419]~P42(f329(a26,x74191),x74192,f329(a117,x74193),x74194)+P42(f329(f236(a902),f329(a27,x74191)),x74192,x74193,x74194) % 166.45/166.22 [7453]P42(f329(a26,x74531),x74532,f329(a117,x74533),x74534)+~P42(f329(f236(a902),f329(a27,x74531)),x74532,x74533,x74534) % 166.45/166.22 [7739]~P42(f329(a26,x77394),x77393,x77392,x77391)+E(f329(a117,f615(x77391,x77392,x77393,x77394)),x77392) % 166.45/166.22 [8010]~E(x80102,x80103)+P1(f329(f329(f331(f912(x80101,x80101)),f329(f329(f257(x80101,x80101),x80102),x80103)),f309(x80101,x80104))) % 166.45/166.22 [8039]~P24(x80391,x80392,x80393,f247(f913(x80391,a900)))+E(f329(f79(x80391,x80392,f247(f913(x80391,a900)),x80393),f329(x80393,x80394)),x80394) % 166.45/166.22 [8040]~P24(x80401,x80402,x80403,f247(f913(x80401,a900)))+E(f329(f94(x80401,x80402,f247(f913(x80401,a900)),x80403),f329(x80403,x80404)),x80404) % 166.45/166.22 [8133]~P1(f329(f329(f331(f906(x81331)),f329(f329(f154(x81331),x81334),x81332)),f164(x81331,x81333)))+P1(f329(f329(f331(f906(x81331)),x81332),f164(x81331,x81333))) % 166.45/166.22 [8134]~P1(f329(f329(f331(f906(x81341)),f329(f329(f137(x81341),x81344),x81342)),f164(x81341,x81343)))+P1(f329(f329(f331(f906(x81341)),x81342),f164(x81341,x81343))) % 166.45/166.22 [8135]~P1(f329(f329(f331(f906(x81351)),f329(f329(f137(x81351),x81352),x81354)),f164(x81351,x81353)))+P1(f329(f329(f331(f906(x81351)),x81352),f164(x81351,x81353))) % 166.45/166.22 [8151]~P105(x81511)+P12(x81511,f329(f329(f157(x81512,x81511),x81513),f153(x81512,x81511,x81513,x81514))) % 166.45/166.22 [8219]~P42(f329(a26,x82191),x82192,x82194,x82193)+P42(f329(f236(a902),f329(a27,x82191)),x82192,f615(x82193,x82194,x82192,x82191),x82193) % 166.45/166.22 [8253]P24(x82534,x82533,x82531,x82532)+E(f329(x82531,f657(x82532,x82531,x82533,x82534)),f329(x82531,f664(x82532,x82531,x82533,x82534))) % 166.45/166.22 [8361]~P24(x83612,x83611,x83614,x83613)+P24(x83611,x83612,f79(x83612,x83611,x83613,x83614),f329(f312(x83612,x83611,x83614),x83613)) % 166.45/166.22 [8502]P37(f912(x85022,x85024),f283(x85022,x85024,x85021,x85023))+P1(f329(x85021,f535(x85022,x85023,x85024,x85021))) % 166.45/166.22 [8628]E(x86281,x86282)+~P1(f329(f329(f331(f912(x86283,x86283)),f329(f329(f257(x86283,x86283),x86281),x86282)),f268(x86283,x86284))) % 166.45/166.22 [8693]~P1(f329(f63(f911(x86933,x86931)),f315(x86933,x86931,x86934,x86932)))+P1(f329(f63(x86931),x86932)) % 166.45/166.22 [8694]~P1(f329(f63(f911(x86941,x86943)),f315(x86941,x86943,x86942,x86944)))+P1(f329(f63(x86941),x86942)) % 166.45/166.22 [8871]P37(f912(x88711,x88712),f283(x88711,x88712,x88713,x88714))+~P37(x88712,f329(x88714,f535(x88711,x88714,x88712,x88713))) % 166.45/166.22 [9444]E(f329(f329(f162(x94441,x94442),f695(x94443,x94444,x94442,x94441)),f696(x94443,x94444,x94442,x94441)),x94444)+~P1(f329(f329(f331(f912(f906(x94441),f906(x94441))),f329(f329(f257(f906(x94441),f906(x94441)),x94442),x94444)),f160(x94441,x94443))) % 166.45/166.22 [9449]~P1(f329(f329(f331(f912(f906(x94491),f906(x94491))),f329(f329(f257(f906(x94491),f906(x94491)),x94492),x94493)),f148(x94491,x94494)))+P1(f329(f329(f331(f912(f906(x94491),f906(x94491))),f329(f329(f257(f906(x94491),f906(x94491)),x94492),x94493)),f150(x94491,x94494))) % 166.45/166.22 [9558]P1(f329(f63(x95581),x95582))+~P1(f329(f329(f331(f912(f913(x95581,a900),f913(x95581,a900))),f329(f329(f257(f913(x95581,a900),f913(x95581,a900)),x95583),x95582)),f321(x95581,x95584))) % 166.45/166.22 [9559]P1(f329(f63(x95591),x95592))+~P1(f329(f329(f331(f912(f913(x95591,a900),f913(x95591,a900))),f329(f329(f257(f913(x95591,a900),f913(x95591,a900)),x95592),x95593)),f321(x95591,x95594))) % 166.45/166.22 [9562]~E(x95621,f191(f913(x95622,a900)))+~P1(f329(f329(f331(f912(f913(x95622,a900),f913(x95622,a900))),f329(f329(f257(f913(x95622,a900),f913(x95622,a900)),x95623),x95621)),f321(x95622,x95624))) % 166.45/166.22 [10187]P10(x101871,x101872,x101873,x101874)+~P1(f329(f329(f262(x101871,x101871,a900),f329(f329(f7(x101871,f913(x101871,x101872),f913(x101871,a900)),f329(f329(f8(f913(x101872,a900),f913(f913(x101871,x101872),f913(x101871,a900)),x101871),f8(x101872,a900,x101871)),f329(f329(f8(x101872,f913(x101872,a900),x101871),a326),x101874))),x101874)),f574(x101874,x101873,x101872,x101871))) % 166.45/166.22 [5056]~E(x50562,f118(x50561))+E(f329(f329(f162(x50561,x50562),x50563),x50564),f118(x50561)) % 166.45/166.22 [5057]~E(x50574,f118(x50571))+E(f329(f329(f157(x50571,x50572),x50573),x50574),f118(x50572)) % 166.45/166.22 [5294]E(x52941,f118(x52942))+~E(f329(f329(f157(x52942,x52943),x52944),x52941),f118(x52943)) % 166.45/166.22 [5295]E(x52951,f118(x52952))+~E(f329(f329(f162(x52952,x52951),x52953),x52954),f118(x52952)) % 166.45/166.22 [5331]E(x53311,x53312)+~E(f329(f329(f137(x53313),x53314),x53311),f329(f329(f137(x53313),x53314),x53312)) % 166.45/166.22 [5332]E(x53321,x53322)+~E(f329(f329(f137(x53323),x53321),x53324),f329(f329(f137(x53323),x53322),x53324)) % 166.45/166.22 [5484]P1(f329(x54843,x54842))+E(f173(x54841,x54842,f329(f139(x54841,x54843),x54844)),f329(f139(x54841,x54843),x54844)) % 166.45/166.22 [5486]~P1(f329(x54862,x54863))+P33(x54861,x54862,f329(f329(f154(x54861),x54863),x54864)) % 166.45/166.22 [5495]E(x54951,x54952)+~E(f142(a905,f329(f304(a905,x54951),x54953)),f329(f329(f154(a905),x54952),x54954)) % 166.45/166.22 [5541]~P26(x55412,x55413)+P26(x55411,f329(f329(f75(x55412,x55411),x55413),x55414)) % 166.45/166.22 [5542]~P37(x55422,x55423)+P37(x55421,f329(f329(f290(x55422,x55421),x55423),x55424)) % 166.45/166.22 [5543]~P38(x55432,x55433)+P38(x55431,f329(f329(f290(x55432,x55431),x55433),x55434)) % 166.45/166.22 [5544]~P54(x55442,x55443)+P54(x55441,f329(f329(f290(x55442,x55441),x55443),x55444)) % 166.45/166.22 [5672]~P33(x56721,x56722,x56724)+P33(x56721,x56722,f329(f329(f154(x56721),x56723),x56724)) % 166.45/166.22 [5673]~P33(x56731,x56732,x56734)+P33(x56731,x56732,f329(f329(f137(x56731),x56733),x56734)) % 166.45/166.22 [5674]~P33(x56741,x56742,x56743)+P33(x56741,x56742,f329(f329(f137(x56741),x56743),x56744)) % 166.45/166.22 [5761]~E(x57611,f118(x57612))+~E(f329(f329(f137(x57612),x57613),f329(f329(f154(x57612),x57614),f118(x57612))),x57611) % 166.45/166.22 [5786]~P31(x57863,x57861,f329(f329(f154(x57863),x57862),x57864))+P1(f329(x57861,x57862)) % 166.45/166.22 [5796]E(f119(x57961,x57962),x57963)+~E(f329(f329(f137(x57961),x57963),f329(f329(f154(x57961),x57964),f118(x57961))),x57962) % 166.45/166.22 [5797]E(f147(x57971,x57972),x57973)+~E(f329(f329(f137(x57971),x57974),f329(f329(f154(x57971),x57973),f118(x57971))),x57972) % 166.45/166.22 [5905]~E(f142(a905,f329(f304(a905,x59051),x59052)),f329(f329(f154(a905),x59053),x59054))+P1(f329(f329(f240(a905),x59051),x59052)) % 166.45/166.22 [5914]P31(x59141,x59142,x59143)+~P31(x59141,x59142,f329(f329(f154(x59141),x59144),x59143)) % 166.45/166.22 [5915]P31(x59151,x59152,x59153)+~P31(x59151,x59152,f329(f329(f137(x59151),x59154),x59153)) % 166.45/166.22 [5916]P31(x59161,x59162,x59163)+~P31(x59161,x59162,f329(f329(f137(x59161),x59163),x59164)) % 166.45/166.22 [6114]E(x61141,f329(f329(f137(x61142),f329(f171(x61142),x61143)),f329(f329(f154(x61142),x61144),f118(x61142))))+~E(f329(f171(x61142),x61141),f329(f329(f154(x61142),x61144),x61143)) % 166.45/166.22 [6288]~P112(x62881)+E(f329(f329(f106(f913(x62881,a900)),f329(f304(x62881,x62882),x62883)),f329(f304(x62881,x62883),x62884)),f191(f913(x62881,a900))) % 166.45/166.22 [6300]E(f329(f329(f167(x63001),f172(x63001,x63002,x63003)),x63004),x63003)+~P1(f329(f329(f240(a905),x63004),x63002)) % 166.45/166.22 [6327]~P74(x63271)+E(f329(f168(x63271),f329(f329(f157(a1,x63271),x63272),f181(x63273,x63274))),f329(f329(f6(a1,x63271),x63272),f329(f175(a1),f181(x63273,x63274)))) % 166.45/166.22 [6328]~P74(x63281)+E(f329(f329(f6(a1,x63281),x63282),f329(f175(a1),f181(x63283,x63284))),f329(f168(x63281),f329(f329(f157(a1,x63281),x63282),f181(x63283,x63284)))) % 166.45/166.22 [6469]~E(x64692,f329(f329(f137(x64691),f329(f171(x64691),x64694)),f329(f329(f154(x64691),x64693),f118(x64691))))+E(f329(f171(x64691),x64692),f329(f329(f154(x64691),x64693),x64694)) % 166.45/166.22 [6487]~P18(x64872,x64873,x64874,x64871)+E(f329(x64871,f191(f913(x64872,a900))),f33(x64873)) % 166.45/166.22 [6515]~P112(x65151)+E(f329(f329(f106(f913(x65151,a900)),f308(x65151,x65152,x65153)),f329(f304(x65151,x65153),x65154)),f191(f913(x65151,a900))) % 166.45/166.22 [6598]~P42(x65981,x65982,x65984,x65983)+P1(f329(f329(f197(x65981),x65982),x65983)) % 166.45/166.22 [6728]E(x67281,f191(f913(x67282,a900)))+~E(f315(x67283,x67282,x67284,x67281),f191(f913(f911(x67283,x67282),a900))) % 166.45/166.22 [6729]E(x67291,f191(f913(x67292,a900)))+~E(f315(x67292,x67293,x67291,x67294),f191(f913(f911(x67292,x67293),a900))) % 166.45/166.22 [6799]~P105(x67992)+E(f329(f192(f906(x67991)),f153(x67991,x67992,x67993,x67994)),f329(f192(f906(x67991)),x67994)) % 166.45/166.22 [6810]~P1(f329(f255(x68103,x68104,x68101),x68102))+P1(f329(f329(x68101,f534(x68102,x68101)),x68102)) % 166.45/166.22 [6849]~P1(f329(f63(x68492),x68494))+P1(f329(f63(x68491),f329(f312(x68492,x68491,x68493),x68494))) % 166.45/166.22 [7078]~P24(x70782,x70781,x70783,x70784)+E(f329(f37(x70781),f329(f312(x70782,x70781,x70783),x70784)),f329(f37(x70782),x70784)) % 166.45/166.22 [7096]E(f329(f312(x70961,x70962,x70963),f329(f313(x70961,x70962,x70963),x70964)),x70964)+~E(f329(f312(x70961,x70962,x70963),f247(f913(x70961,a900))),f247(f913(x70962,a900))) % 166.45/166.22 [7512]~P24(x75121,x75122,x75123,f247(f913(x75121,a900)))+E(f329(f313(x75121,x75122,x75123),f329(f312(x75121,x75122,x75123),x75124)),x75124) % 166.45/166.22 [7798]E(x77981,x77982)+~P1(f329(f329(f331(x77983),x77981),f329(f175(x77983),f172(x77983,x77984,x77982)))) % 166.45/166.22 [7807]~E(x78071,f2(a905))+~P1(f329(f329(f331(x78072),x78073),f329(f175(x78072),f172(x78072,x78071,x78074)))) % 166.45/166.22 [7841]P1(f329(x78411,x78412))+~P1(f329(f329(f331(x78413),x78412),f329(f175(x78413),f180(x78413,x78411,x78414)))) % 166.45/166.22 [7956]~P1(f329(f329(f331(f906(x79561)),f329(f329(f154(x79561),x79562),x79564)),f164(x79561,x79563)))+P1(f329(f329(f331(x79561),x79562),x79563)) % 166.45/166.22 [8087]~P1(f329(f329(f331(x80871),x80872),f329(f175(x80871),f179(x80871,x80873,x80874))))+P1(f329(f329(f331(x80871),x80872),f329(f175(x80871),x80873))) % 166.45/166.22 [8088]~P1(f329(f329(f331(x80881),x80882),f329(f175(x80881),f173(x80881,x80884,x80883))))+P1(f329(f329(f331(x80881),x80882),f329(f175(x80881),x80883))) % 166.45/166.22 [8089]~P1(f329(f329(f331(x80891),x80892),f329(f175(x80891),f180(x80891,x80894,x80893))))+P1(f329(f329(f331(x80891),x80892),f329(f175(x80891),x80893))) % 166.45/166.22 [8099]E(f329(f192(f906(x80991)),x80992),x80993)+~P1(f329(f329(f331(f906(x80991)),x80992),f329(f175(f906(x80991)),f57(x80991,x80993,x80994)))) % 166.45/166.22 [8203]P1(f329(x82033,x82032))+E(f329(f139(x82031,f329(f329(f8(a900,a900,x82031),a324),f329(a326,x82032))),f329(f139(x82031,x82033),x82034)),f329(f139(x82031,x82033),x82034)) % 166.45/166.22 [8312]E(f329(f329(f167(x83121),f180(x83121,x83122,x83123)),x83124),f329(f329(f167(x83121),x83123),x83124))+~P1(f329(f329(f240(a905),x83124),f329(f192(f906(x83121)),f180(x83121,x83122,x83123)))) % 166.45/166.22 [8399]~P74(x83991)+E(f329(f329(f6(a905,x83991),f329(f329(f8(a905,x83991,a905),x83992),a117)),f329(f304(a905,x83993),x83994)),f329(f329(f6(a905,x83991),x83992),f329(f304(a905,f329(a117,x83993)),f329(a117,x83994)))) % 166.45/166.22 [8409]~P74(x84091)+E(f329(f329(f6(a905,x84091),f329(f329(f8(a905,x84091,a905),x84092),a117)),f305(a905,x84093,x84094)),f329(f329(f6(a905,x84091),x84092),f305(a905,f329(a117,x84093),f329(a117,x84094)))) % 166.45/166.22 [8538]~P24(x85381,x85383,x85384,f247(f913(x85381,a900)))+P24(x85381,f913(x85382,x85383),f329(f329(f8(x85383,f913(x85382,x85383),x85381),f16(x85383,x85382)),x85384),f247(f913(x85381,a900))) % 166.45/166.22 [8636]~P24(x86362,x86361,x86364,x86363)+E(f329(f312(x86361,x86362,f79(x86362,x86361,x86363,x86364)),f329(f312(x86362,x86361,x86364),x86363)),x86363) % 166.45/166.22 [8695]~P1(f329(f329(f331(f912(x86951,x86951)),f329(f329(f257(x86951,x86951),x86952),x86954)),f268(x86951,x86953)))+P1(f329(f329(f331(x86951),x86952),x86953)) % 166.45/166.22 [8808]~P24(x88082,x88081,x88083,f247(f913(x88082,a900)))+E(f329(f312(x88081,x88082,f94(x88082,x88081,f247(f913(x88082,a900)),x88083)),f329(f312(x88082,x88081,x88083),x88084)),x88084) % 166.45/166.22 [8910]~E(f329(f329(f6(x89101,a905),x89104),x89103),f329(a117,x89102))+P1(f329(f329(f331(x89101),f767(x89102,x89103,x89104,x89101)),x89103)) % 166.45/166.22 [8929]~E(f329(f329(f6(x89294,a905),x89291),x89293),f329(a117,x89292))+P1(f329(f329(f240(a905),f2(a905)),f329(x89291,f767(x89292,x89293,x89291,x89294)))) % 166.45/166.22 [8940]~P1(f329(f63(x89402),x89404))+P1(f329(f329(f239(a905),f329(f37(x89401),f329(f312(x89402,x89401,x89403),x89404))),f329(f37(x89402),x89404))) % 166.45/166.22 [8941]E(f329(f329(f257(x89411,x89412),f667(x89413,x89414,x89412,x89411)),f668(x89413,x89414,x89412,x89411)),x89414)+~P1(f329(f329(f331(f912(x89411,x89412)),x89414),f329(f289(x89412,x89411),x89413))) % 166.45/166.22 [8949]P24(x89491,x89492,x89493,x89494)+P1(f329(f329(f331(x89491),f657(x89494,x89493,x89492,x89491)),x89494)) % 166.45/166.22 [8950]P24(x89501,x89502,x89503,x89504)+P1(f329(f329(f331(x89501),f664(x89504,x89503,x89502,x89501)),x89504)) % 166.45/166.22 [9018]P10(x90181,x90182,x90183,x90184)+P1(f329(f329(f331(f912(x90181,x90181)),f574(x90184,x90183,x90182,x90181)),x90183)) % 166.45/166.22 [9077]P1(f329(x90771,x90772))+~P1(f329(x90771,f329(f329(f257(x90773,x90774),f501(x90774,x90773,x90771)),f502(x90774,x90773,x90771)))) % 166.45/166.22 [9093]E(f329(f192(f906(x90931)),x90932),f329(f192(f906(x90931)),x90933))+~P1(f329(f329(f331(f912(f906(x90931),f906(x90931))),f329(f329(f257(f906(x90931),f906(x90931)),x90932),x90933)),f148(x90931,x90934))) % 166.45/166.22 [9094]E(f329(f192(f906(x90941)),x90942),f329(f192(f906(x90941)),x90943))+~P1(f329(f329(f331(f912(f906(x90941),f906(x90941))),f329(f329(f257(f906(x90941),f906(x90941)),x90942),x90943)),f160(x90941,x90944))) % 166.45/166.22 [9097]E(f329(f192(f906(x90971)),x90972),f329(f192(f906(x90971)),x90973))+~P1(f329(f329(f331(f912(f906(x90971),f906(x90971))),f329(f329(f257(f906(x90971),f906(x90971)),x90972),x90973)),f161(x90971,x90974))) % 166.45/166.22 [9170]P1(f329(f329(f239(a905),f158(x91701,x91702,x91703)),f158(x91701,x91704,x91703)))+P1(f329(f329(f331(x91701),f694(x91704,x91702,x91703,x91701)),f329(f175(x91701),x91703))) % 166.45/166.22 [9173]E(f329(f192(f906(x91731)),x91732),f329(f192(f906(x91731)),x91733))+~P1(f329(f329(f331(f912(f906(x91731),f906(x91731))),f329(f329(f257(f906(x91731),f906(x91731)),x91732),x91733)),f309(f906(x91731),f160(x91731,x91734)))) % 166.45/166.22 [9414]~P24(x94141,x94142,x94143,x94144)+~P1(f329(f329(f240(a905),f329(f37(x94142),f329(f312(x94141,x94142,x94143),x94144))),f329(f37(x94141),x94144))) % 166.45/166.22 [9462]~P1(f329(f329(f331(f912(f906(x94621),f906(x94621))),f329(f329(f257(f906(x94621),f906(x94621)),x94622),x94623)),f160(x94621,x94624)))+P1(f329(f329(f331(f912(f906(x94621),f906(x94621))),f329(f329(f257(f906(x94621),f906(x94621)),x94622),x94623)),f161(x94621,f309(x94621,x94624)))) % 166.45/166.22 [9466]~P1(f329(f329(f331(f912(f906(x94661),f906(x94661))),f329(f329(f257(f906(x94661),f906(x94661)),x94662),x94663)),f161(x94661,x94664)))+P1(f329(f329(f331(f912(f906(x94661),f906(x94661))),f329(f329(f257(f906(x94661),f906(x94661)),x94662),x94663)),f309(f906(x94661),f160(x94661,x94664)))) % 166.45/166.22 [9482]P1(f329(f329(f331(f912(x94821,x94821)),f329(f329(f257(x94821,x94821),x94822),x94823)),f309(x94821,x94824)))+~P1(f329(f329(f331(f912(x94821,x94821)),f329(f329(f257(x94821,x94821),x94822),x94823)),f329(f329(f291(x94821,x94821,x94821),x94824),f309(x94821,x94824)))) % 166.45/166.22 [9668]E(f329(f329(f137(x96681),f706(x96682,x96683,x96684,x96681)),f329(f329(f154(x96681),f707(x96682,x96683,x96684,x96681)),f709(x96682,x96683,x96684,x96681))),x96684)+~P1(f329(f329(f331(f912(f906(x96681),f906(x96681))),f329(f329(f257(f906(x96681),f906(x96681)),x96684),x96683)),f160(x96681,x96682))) % 166.45/166.22 [9669]E(f329(f329(f137(x96691),f706(x96692,x96693,x96694,x96691)),f329(f329(f154(x96691),f708(x96692,x96693,x96694,x96691)),f709(x96692,x96693,x96694,x96691))),x96693)+~P1(f329(f329(f331(f912(f906(x96691),f906(x96691))),f329(f329(f257(f906(x96691),f906(x96691)),x96694),x96693)),f160(x96691,x96692))) % 166.45/166.22 [9749]P1(f329(f329(f331(f912(x97491,x97491)),f329(f329(f257(x97491,x97491),x97492),f620(x97493,x97494,x97492,x97491))),f309(x97491,x97493)))+~P1(f329(f329(f331(f912(x97491,x97491)),f329(f329(f257(x97491,x97491),x97492),x97494)),f329(f329(f291(x97491,x97491,x97491),x97493),f309(x97491,x97493)))) % 166.45/166.22 [9817]P1(f329(f329(f239(a905),f158(x98171,x98172,x98173)),f158(x98171,x98174,x98173)))+~P1(f329(f329(f240(a905),f329(x98172,f694(x98174,x98172,x98173,x98171))),f329(x98174,f694(x98174,x98172,x98173,x98171)))) % 166.45/166.22 [9889]P1(f329(f329(f331(f912(x98891,x98891)),f329(f329(f257(x98891,x98891),f619(x98892,x98893,x98894,x98891)),x98893)),f309(x98891,x98892)))+~P1(f329(f329(f331(f912(x98891,x98891)),f329(f329(f257(x98891,x98891),x98894),x98893)),f329(f329(f291(x98891,x98891,x98891),x98892),f309(x98891,x98892)))) % 166.45/166.22 [5313]~E(x53132,x53133)+E(f173(x53131,x53132,f329(f329(f154(x53131),x53133),x53134)),x53134) % 166.45/166.22 [5441]P1(f329(x54412,x54413))+E(f180(x54411,x54412,f329(f329(f154(x54411),x54413),x54414)),f118(x54411)) % 166.45/166.22 [5507]~P93(x55072)+E(f329(f329(f81(f913(x55071,x55072)),x55073),x55074),f329(f81(x55072),f329(x55073,x55074))) % 166.45/166.22 [5518]~E(x55182,f2(a905))+E(f329(f329(f141(x55181),x55182),f329(f329(f154(x55181),x55183),x55184)),f329(f329(f154(x55181),x55183),x55184)) % 166.45/166.22 [5519]P1(f329(x55192,x55193))+E(f329(f139(x55191,x55192),f329(f329(f154(x55191),x55193),x55194)),f329(f139(x55191,x55192),x55194)) % 166.45/166.22 [5655]~E(x56552,x56554)+P1(f329(f329(f329(f311(x56551),x56552),x56553),x56554)) % 166.45/166.22 [5663]E(x56631,f118(x56632))+E(f147(x56633,f329(f329(f157(x56632,x56633),x56634),x56631)),f329(x56634,f147(x56632,x56631))) % 166.45/166.22 [5677]~E(x56771,f65(x56772,x56774))+E(f329(x56771,f329(f329(f311(x56772),x56773),f191(f913(x56772,a900)))),x56773) % 166.45/166.22 [5712]E(x57121,f118(x57122))+E(f329(f144(x57123),f329(f329(f157(x57122,x57123),x57124),x57121)),f329(x57124,f329(f144(x57122),x57121))) % 166.45/166.22 [5816]~P1(f329(x58163,x58164))+P1(f329(f329(f329(f311(x58161),x58162),x58163),x58164)) % 166.45/166.22 [5935]~P17(x59352,x59354,x59351)+E(f329(x59351,f329(f329(f311(x59352),x59353),f191(f913(x59352,a900)))),x59353) % 166.45/166.22 [5962]~E(x59622,x59623)+P1(f329(f329(f331(x59621),x59622),f329(f329(f311(x59621),x59623),x59624))) % 166.45/166.22 [5966]~P2(x59661)+E(f329(f329(f115(x59661),x59662),f329(f329(f115(x59661),x59663),x59664)),f329(f329(f115(x59661),x59663),f329(f329(f115(x59661),x59662),x59664))) % 166.45/166.22 [5968]~P106(x59681)+E(f329(f329(f115(x59681),x59682),f329(f329(f115(x59681),x59683),x59684)),f329(f329(f115(x59681),x59683),f329(f329(f115(x59681),x59682),x59684))) % 166.45/166.22 [5969]~P2(x59691)+E(f329(f329(f106(x59691),x59692),f329(f329(f106(x59691),x59693),x59694)),f329(f329(f106(x59691),x59693),f329(f329(f106(x59691),x59692),x59694))) % 166.45/166.22 [5971]~P107(x59711)+E(f329(f329(f106(x59711),x59712),f329(f329(f106(x59711),x59713),x59714)),f329(f329(f106(x59711),x59713),f329(f329(f106(x59711),x59712),x59714))) % 166.45/166.22 [5972]~P118(x59721)+E(f329(f329(f82(x59721),x59722),f329(f329(f82(x59721),x59723),x59724)),f329(f329(f82(x59721),x59723),f329(f329(f82(x59721),x59722),x59724))) % 166.45/166.22 [5973]~P118(x59731)+E(f329(f329(f83(x59731),x59732),f329(f329(f83(x59731),x59733),x59734)),f329(f329(f83(x59731),x59733),f329(f329(f83(x59731),x59732),x59734))) % 166.45/166.22 [5975]~P105(x59751)+E(f329(f329(f237(x59751),x59752),f329(f329(f237(x59751),x59753),x59754)),f329(f329(f237(x59751),x59753),f329(f329(f237(x59751),x59752),x59754))) % 166.45/166.22 [5977]~P105(x59771)+E(f329(f329(f238(x59771),x59772),f329(f329(f238(x59771),x59773),x59774)),f329(f329(f238(x59771),x59773),f329(f329(f238(x59771),x59772),x59774))) % 166.45/166.22 [5982]E(x59821,x59822)+E(f173(x59823,x59821,f329(f329(f154(x59823),x59822),x59824)),f329(f329(f154(x59823),x59822),f173(x59823,x59821,x59824))) % 166.45/166.22 [5995]~P1(f329(x59952,x59953))+E(f329(f139(x59951,x59952),f329(f329(f154(x59951),x59953),x59954)),f329(f329(f154(x59951),x59953),f329(f139(x59951,x59952),x59954))) % 166.45/166.22 [6134]~P1(f329(x61342,x61343))+E(f180(x61341,x61342,f329(f329(f154(x61341),x61343),x61344)),f329(f329(f154(x61341),x61343),f180(x61341,x61342,x61344))) % 166.45/166.22 [6199]E(x61991,f191(f913(x61992,a900)))+E(f329(f329(f41(x61992,f913(x61993,a900)),x61991),f329(f16(f913(x61993,a900),x61992),x61994)),x61994) % 166.45/166.22 [6200]E(x62001,f191(f913(x62002,a900)))+E(f329(f329(f42(x62002,f913(x62003,a900)),x62001),f329(f16(f913(x62003,a900),x62002),x62004)),x62004) % 166.45/166.22 [6209]~E(x62094,f191(f913(x62092,a900)))+E(f329(f329(f259(x62091,x62092),x62093),f329(f16(f913(x62092,a900),x62091),x62094)),f191(f913(f912(x62091,x62092),a900))) % 166.45/166.22 [6210]~E(x62103,f191(f913(x62101,a900)))+E(f329(f329(f259(x62101,x62102),x62103),f329(f16(f913(x62102,a900),x62101),x62104)),f191(f913(f912(x62101,x62102),a900))) % 166.45/166.22 [6261]E(x62611,f2(a905))+E(f329(f329(f141(x62612),x62611),f329(f329(f154(x62612),x62613),x62614)),f329(f329(f141(x62612),f329(f329(f23(a905),x62611),f80(a905))),x62614)) % 166.45/166.22 [6282]E(x62821,f191(f913(x62822,a900)))+E(f329(f312(x62822,x62823,f329(f16(x62823,x62822),x62824)),x62821),f329(f329(f311(x62823),x62824),f191(f913(x62823,a900)))) % 166.45/166.22 [6285]E(f329(f313(x62851,x62852,f329(f16(x62852,x62851),x62853)),x62854),f191(f913(x62851,a900)))+P1(f329(f329(f331(x62852),x62853),x62854)) % 166.45/166.22 [6351]~E(x63513,f191(f913(x63511,a900)))+E(f329(f329(f41(x63511,f913(x63512,a900)),x63513),f329(f16(f913(x63512,a900),x63511),x63514)),f191(f913(x63512,a900))) % 166.45/166.22 [6352]~E(x63523,f191(f913(x63521,a900)))+E(f329(f329(f42(x63521,f913(x63522,a900)),x63523),f329(f16(f913(x63522,a900),x63521),x63524)),f247(f913(x63522,a900))) % 166.45/166.22 [6354]~P63(x63541)+E(f47(x63541,f329(f329(f83(x63541),x63542),x63543),f329(f329(f83(x63541),x63542),x63544)),f329(f329(f83(x63541),x63542),f47(x63541,x63543,x63544))) % 166.45/166.22 [6525]E(f329(f313(x65251,x65252,f329(f16(x65252,x65251),x65253)),x65254),f247(f913(x65251,a900)))+~P1(f329(f329(f331(x65252),x65253),x65254)) % 166.45/166.22 [6550]~P1(f329(f329(f331(x65501),x65502),x65504))+P1(f329(f329(f331(x65501),x65502),f329(f329(f311(x65501),x65503),x65504))) % 166.45/166.22 [6555]P1(f329(x65551,x65552))+~P1(f329(f163(x65553,x65551),f329(f329(f154(x65553),x65552),x65554))) % 166.45/166.22 [6564]~E(x65643,f329(f329(f23(a905),f329(f192(f906(x65641)),x65642)),f80(a905)))+E(f119(x65641,f329(f329(f162(x65641,x65642),x65643),x65644)),f119(x65641,x65642)) % 166.45/166.22 [6582]~P105(x65821)+E(f329(f329(f106(f913(x65821,a900)),f329(f303(x65821),x65822)),f305(x65821,x65823,x65824)),f305(x65821,x65823,f329(f329(f237(x65821),x65822),x65824))) % 166.45/166.22 [6583]~P105(x65831)+E(f329(f329(f106(f913(x65831,a900)),f329(f286(x65831),x65832)),f305(x65831,x65833,x65834)),f305(x65831,f329(f329(f238(x65831),x65832),x65833),x65834)) % 166.45/166.22 [6600]E(f329(f329(f106(f913(x66001,a900)),x66002),f329(f329(f311(x66001),x66003),x66004)),f329(f329(f106(f913(x66001,a900)),x66002),x66004))+P1(f329(f329(f331(x66001),x66003),x66002)) % 166.45/166.22 [6612]E(f173(x66121,x66122,f329(f329(f137(x66121),x66123),x66124)),f329(f329(f137(x66121),x66123),f173(x66121,x66122,x66124)))+P1(f329(f329(f331(x66121),x66122),f329(f175(x66121),x66123))) % 166.45/166.22 [6617]~P86(x66171)+E(f329(f329(f83(x66171),f329(f329(f249(x66171),x66172),x66173)),f329(f329(f249(x66171),x66172),x66174)),f329(f329(f249(x66171),x66172),f329(f329(f82(a905),x66173),x66174))) % 166.45/166.22 [6618]~P118(x66181)+E(f329(f329(f83(x66181),f329(f329(f249(x66181),x66182),x66183)),f329(f329(f249(x66181),x66182),x66184)),f329(f329(f249(x66181),x66182),f329(f329(f82(a905),x66183),x66184))) % 166.45/166.22 [6655]~P102(x66551)+E(f329(f329(f106(x66551),f329(f329(f115(x66551),x66552),x66553)),f329(f329(f115(x66551),x66552),x66554)),f329(f329(f115(x66551),x66552),f329(f329(f106(x66551),x66553),x66554))) % 166.45/166.22 [6656]~P102(x66561)+E(f329(f329(f115(x66561),f329(f329(f106(x66561),x66562),x66563)),f329(f329(f106(x66561),x66562),x66564)),f329(f329(f106(x66561),x66562),f329(f329(f115(x66561),x66563),x66564))) % 166.45/166.22 [6657]~P118(x66571)+E(f329(f329(f82(x66571),f329(f329(f83(x66571),x66572),x66573)),f329(f329(f83(x66571),x66572),x66574)),f329(f329(f83(x66571),x66572),f329(f329(f82(x66571),x66573),x66574))) % 166.45/166.22 [6658]~P105(x66581)+E(f329(f329(f238(x66581),f329(f329(f237(x66581),x66582),x66583)),f329(f329(f237(x66581),x66582),x66584)),f329(f329(f237(x66581),x66582),f329(f329(f238(x66581),x66583),x66584))) % 166.45/166.22 [6659]~P105(x66591)+E(f329(f329(f237(x66591),f329(f329(f238(x66591),x66592),x66593)),f329(f329(f238(x66591),x66592),x66594)),f329(f329(f238(x66591),x66592),f329(f329(f237(x66591),x66593),x66594))) % 166.45/166.22 [6693]~P63(x66931)+E(f47(x66931,f329(f329(f83(x66931),x66932),x66933),f329(f329(f83(x66931),x66934),x66933)),f329(f329(f83(x66931),f47(x66931,x66932,x66934)),x66933)) % 166.45/166.22 [6696]~E(f329(f192(f906(x66961)),x66963),f329(f192(f906(x66962)),x66964))+E(f329(f329(f157(f912(x66961,x66962),x66962),f261(x66961,x66962)),f329(f329(f184(x66961,x66962),x66963),x66964)),x66964) % 166.45/166.22 [6697]~E(f329(f192(f906(x66971)),x66973),f329(f192(f906(x66972)),x66974))+E(f329(f329(f157(f912(x66971,x66972),x66971),f256(x66971,x66972)),f329(f329(f184(x66971,x66972),x66973),x66974)),x66973) % 166.45/166.22 [6702]P1(f329(f163(x67021,x67022),x67023))+~P1(f329(f163(x67021,x67022),f329(f329(f154(x67021),x67024),x67023))) % 166.45/166.22 [6703]P1(f329(f163(x67031,x67032),x67033))+~P1(f329(f163(x67031,x67032),f329(f329(f137(x67031),x67034),x67033))) % 166.45/166.22 [6704]P1(f329(f163(x67041,x67042),x67043))+~P1(f329(f163(x67041,x67042),f329(f329(f137(x67041),x67043),x67044))) % 166.45/166.22 [6709]~P64(x67091)+E(f47(x67091,f329(f329(f23(x67091),x67092),f47(x67091,x67093,x67094)),x67094),f47(x67091,f329(f329(f23(x67091),x67092),x67093),x67094)) % 166.45/166.22 [6711]~P63(x67111)+E(f47(x67111,f329(f329(f83(x67111),x67112),f47(x67111,x67113,x67114)),x67114),f47(x67111,f329(f329(f83(x67111),x67112),x67113),x67114)) % 166.45/166.22 [6712]~P63(x67121)+E(f47(x67121,f329(f329(f82(x67121),x67122),f47(x67121,x67123,x67124)),x67124),f47(x67121,f329(f329(f82(x67121),x67122),x67123),x67124)) % 166.45/166.22 [6791]~P105(x67911)+E(f329(f329(f106(f913(x67911,a900)),f305(x67911,x67912,x67913)),f329(f303(x67911),x67914)),f305(x67911,x67912,f329(f329(f237(x67911),x67913),x67914))) % 166.45/166.22 [6792]~P105(x67921)+E(f329(f329(f106(f913(x67921,a900)),f305(x67921,x67922,x67923)),f329(f286(x67921),x67924)),f305(x67921,f329(f329(f238(x67921),x67922),x67924),x67923)) % 166.45/166.22 [6795]~E(f329(f192(f906(x67951)),x67953),f329(f192(f906(x67952)),x67954))+E(f329(f329(f184(x67951,x67952),f329(f171(x67951),x67953)),f329(f171(x67952),x67954)),f329(f171(f912(x67951,x67952)),f329(f329(f184(x67951,x67952),x67953),x67954))) % 166.45/166.22 [6807]E(x68071,f329(f329(f23(a905),f329(f192(f906(x68072)),x68073)),f80(a905)))+E(f119(x68072,f329(f329(f162(x68072,x68073),x68071),x68074)),f329(f329(f162(x68072,f119(x68072,x68073)),x68071),x68074)) % 166.45/166.22 [6821]~P1(f329(f140(x68212),x68214))+P1(f329(f140(f912(x68211,x68212)),f329(f329(f184(x68211,x68212),x68213),x68214))) % 166.45/166.22 [6822]~P1(f329(f140(x68221),x68223))+P1(f329(f140(f912(x68221,x68222)),f329(f329(f184(x68221,x68222),x68223),x68224))) % 166.45/166.22 [7081]E(f329(f329(f38(a905),x70811),x70812),x70813)+~P1(f329(f50(x70811,x70812),f329(f329(f257(a905,a905),x70813),x70814))) % 166.45/166.22 [7104]E(f47(a905,x71041,x71042),x71043)+~P1(f329(f50(x71041,x71042),f329(f329(f257(a905,a905),x71044),x71043))) % 166.45/166.22 [7107]P1(f329(f140(x71071),x71072))+~P1(f329(f140(x71073),f329(f329(f157(x71071,x71073),x71074),x71072))) % 166.45/166.22 [7189]E(f173(x71891,x71892,f329(f329(f137(x71891),x71893),x71894)),f329(f329(f137(x71891),f173(x71891,x71892,x71893)),x71894))+~P1(f329(f329(f331(x71891),x71892),f329(f175(x71891),x71893))) % 166.45/166.22 [7279]~P64(x72791)+E(f47(x72791,f329(f329(f23(x72791),f47(x72791,x72792,x72793)),x72794),x72793),f47(x72791,f329(f329(f23(x72791),x72792),x72794),x72793)) % 166.45/166.22 [7282]~P63(x72821)+E(f47(x72821,f329(f329(f82(x72821),f47(x72821,x72822,x72823)),x72824),x72823),f47(x72821,f329(f329(f82(x72821),x72822),x72824),x72823)) % 166.45/166.22 [7283]~P63(x72831)+E(f47(x72831,f329(f329(f83(x72831),f47(x72831,x72832,x72833)),x72834),x72833),f47(x72831,f329(f329(f83(x72831),x72832),x72834),x72833)) % 166.45/166.22 [7483]~E(x74831,f329(f329(f154(x74832),x74833),x74834))+~P1(f329(f329(f239(a905),f329(f192(f906(x74832)),x74831)),f329(f192(f906(x74832)),x74834))) % 166.45/166.22 [7690]P24(x76901,x76902,x76903,f329(f175(x76901),x76904))+~P1(f329(f140(x76902),f329(f329(f157(x76901,x76902),x76903),x76904))) % 166.45/166.22 [7764]~P1(f329(f329(f239(f913(x77641,a900)),x77642),x77644))+P1(f329(f329(f239(f913(x77641,a900)),x77642),f329(f329(f311(x77641),x77643),x77644))) % 166.45/166.22 [7799]~P64(x77991)+E(f47(x77991,f329(f329(f23(x77991),f47(x77991,x77992,x77993)),f47(x77991,x77994,x77993)),x77993),f47(x77991,f329(f329(f23(x77991),x77992),x77994),x77993)) % 166.45/166.22 [7800]~P63(x78001)+E(f47(x78001,f329(f329(f82(x78001),f47(x78001,x78002,x78003)),f47(x78001,x78004,x78003)),x78003),f47(x78001,f329(f329(f82(x78001),x78002),x78004),x78003)) % 166.45/166.22 [7801]~P63(x78011)+E(f47(x78011,f329(f329(f83(x78011),f47(x78011,x78012,x78013)),f47(x78011,x78014,x78013)),x78013),f47(x78011,f329(f329(f83(x78011),x78012),x78014),x78013)) % 166.45/166.22 [7906]~E(f329(x79064,f410(x79064,x79063,x79061,x79062)),f191(f913(x79062,a900)))+E(f329(f329(f41(x79061,f913(x79062,a900)),x79063),x79064),f191(f913(x79062,a900))) % 166.45/166.22 [7907]~E(f329(x79074,f617(x79074,x79073,x79071,x79072)),f247(f913(x79072,a900)))+E(f329(f329(f42(x79071,f913(x79072,a900)),x79073),x79074),f247(f913(x79072,a900))) % 166.45/166.22 [7908]~E(f329(x79084,f411(x79084,x79083,x79082,x79081)),f191(f913(x79082,a900)))+E(f329(f329(f41(x79081,f913(x79082,a900)),x79083),x79084),f191(f913(x79082,a900))) % 166.45/166.22 [7909]~E(f329(x79094,f632(x79094,x79093,x79092,x79091)),f247(f913(x79092,a900)))+E(f329(f329(f42(x79091,f913(x79092,a900)),x79093),x79094),f247(f913(x79092,a900))) % 166.45/166.22 [8313]P1(f329(x83131,x83132))+~P1(f329(f329(f331(x83133),x83132),f329(f329(f106(f913(x83133,a900)),x83134),f329(f267(x83133),x83131)))) % 166.45/166.22 [8351]~P1(f329(f329(f239(f913(x83511,a900)),x83513),x83514))+P1(f329(f329(f239(f913(x83511,a900)),f329(f329(f311(x83511),x83512),x83513)),f329(f329(f311(x83511),x83512),x83514))) % 166.45/166.22 [8522]P1(f329(f329(f197(x85221),x85222),f492(x85223,x85222,x85224,x85221)))+~P1(f329(f329(f197(f32(x85221,x85224)),x85222),x85223)) % 166.45/166.22 [8531]P1(f329(x85312,x85313))+E(f329(f329(f141(x85311),f329(f192(f906(x85311)),f180(x85311,x85312,f329(f329(f154(x85311),x85313),x85314)))),f329(f329(f154(x85311),x85313),x85314)),f329(f329(f154(x85311),x85313),x85314)) % 166.45/166.22 [8650]~P1(f329(f329(f240(a905),f329(x86504,x86502)),f329(x86504,x86503)))+P1(f329(f329(f331(f912(x86501,x86501)),f329(f329(f257(x86501,x86501),x86502),x86503)),f329(f329(f290(a905,x86501),a245),x86504))) % 166.45/166.22 [8742]~P1(f329(x87422,f765(x87424,x87422,x87423,x87421)))+E(f180(x87421,x87422,f329(f329(f137(x87421),x87423),x87424)),f329(f329(f137(x87421),x87423),f180(x87421,x87422,x87424))) % 166.45/166.22 [8812]P24(f906(x88121),f906(x88122),f329(f157(x88121,x88122),x88123),x88124)+~P24(x88121,x88122,x88123,f39(f913(x88121,a900),f329(f312(f906(x88121),f913(x88121,a900),f175(x88121)),x88124))) % 166.45/166.22 [8880]~P1(f329(x88802,x88803))+E(f329(f329(f141(x88801),f329(f192(f906(x88801)),f180(x88801,x88802,f329(f329(f154(x88801),x88803),x88804)))),f329(f329(f154(x88801),x88803),x88804)),f329(f329(f141(x88801),f329(f192(f906(x88801)),f180(x88801,x88802,x88804))),x88804)) % 166.45/166.22 [8920]~E(x89202,x89203)+E(f329(f139(x89201,f329(f329(f8(a900,a900,x89201),a324),f329(a326,x89202))),f329(f329(f154(x89201),x89203),x89204)),f329(f139(x89201,f329(f329(f8(a900,a900,x89201),a324),f329(a326,x89202))),x89204)) % 166.45/166.22 [8930]E(f329(f329(f41(x89301,f913(x89302,a900)),x89303),x89304),f191(f913(x89302,a900)))+P1(f329(f329(f331(x89301),f410(x89304,x89303,x89301,x89302)),x89303)) % 166.45/166.22 [8931]E(f329(f329(f42(x89311,f913(x89312,a900)),x89313),x89314),f247(f913(x89312,a900)))+P1(f329(f329(f331(x89311),f617(x89314,x89313,x89311,x89312)),x89313)) % 166.45/166.22 [8932]E(f329(f329(f41(x89321,f913(x89322,a900)),x89323),x89324),f191(f913(x89322,a900)))+P1(f329(f329(f331(x89321),f411(x89324,x89323,x89322,x89321)),x89323)) % 166.45/166.22 [8933]E(f329(f329(f42(x89331,f913(x89332,a900)),x89333),x89334),f247(f913(x89332,a900)))+P1(f329(f329(f331(x89331),f632(x89334,x89333,x89332,x89331)),x89333)) % 166.45/166.22 [8969]P1(f329(f329(f240(a905),f329(x89691,x89692)),f329(x89691,x89693)))+~P1(f329(f329(f331(f912(x89694,x89694)),f329(f329(f257(x89694,x89694),x89692),x89693)),f329(f329(f290(a905,x89694),a245),x89691))) % 166.45/166.22 [8996]E(f180(x89961,x89962,f329(f329(f137(x89961),x89963),x89964)),f329(f329(f137(x89961),x89963),f180(x89961,x89962,x89964)))+P1(f329(f329(f331(x89961),f765(x89964,x89962,x89963,x89961)),f329(f175(x89961),x89963))) % 166.45/166.22 [9036]P1(f329(f329(f197(x90361),f492(x90362,x90363,x90361,x90364)),x90362))+~P1(f329(f329(f197(f32(x90364,x90361)),x90363),x90362)) % 166.45/166.22 [9053]~P25(x90531,x90532,x90533,f247(f913(x90531,a900)),f247(f913(x90532,a900)))+E(f329(f312(x90531,x90532,x90533),f329(f81(f913(x90531,a900)),x90534)),f329(f81(f913(x90532,a900)),f329(f312(x90531,x90532,x90533),x90534))) % 166.45/166.22 [9159]P1(f329(f329(f331(x91591),f494(x91592,x91593,x91594,x91591)),x91593))+~P1(f329(f329(f331(f913(x91591,a900)),x91594),f329(f329(f62(x91591),x91593),x91592))) % 166.45/166.22 [9162]E(x91621,x91622)+~P1(f329(f329(f331(f912(x91623,x91623)),f329(f329(f257(x91623,x91623),x91621),x91622)),f329(f329(f186(f912(x91623,x91623),a900),f2(a905)),x91624))) % 166.45/166.22 [9244]E(f329(f288(x92441,x92441,x92442),f329(f329(f311(x92441),f494(x92442,x92443,x92444,x92441)),f191(f913(x92441,a900)))),x92444)+~P1(f329(f329(f331(f913(x92441,a900)),x92444),f329(f329(f62(x92441),x92443),x92442))) % 166.45/166.22 [9253]~P1(f329(f329(f331(f912(x92531,x92531)),f329(f329(f257(x92531,x92531),x92533),x92532)),f309(x92531,x92534)))+P1(f329(f329(f331(f912(x92531,x92531)),f329(f329(f257(x92531,x92531),x92532),x92533)),f309(x92531,f329(f289(x92531,x92531),x92534)))) % 166.45/166.22 [9268]~P63(x92681)+E(f329(f329(f82(x92681),f329(f329(f82(x92681),f329(f329(f83(x92681),x92682),f329(f329(f38(x92681),x92683),x92682))),f47(x92681,x92683,x92682))),x92684),f329(f329(f82(x92681),x92683),x92684)) % 166.45/166.22 [9280]~P1(f329(f329(f331(x92801),x92803),x92804))+P1(f329(f329(f331(f913(x92801,a900)),f329(f288(x92801,x92801,x92802),f329(f329(f311(x92801),x92803),f191(f913(x92801,a900))))),f329(f329(f62(x92801),x92804),x92802))) % 166.45/166.22 [9292]P1(f329(f329(f331(f912(x92921,x92921)),f329(f329(f257(x92921,x92921),x92922),x92923)),f309(x92921,x92924)))+~P1(f329(f329(f331(f912(x92921,x92921)),f329(f329(f257(x92921,x92921),x92923),x92922)),f309(x92921,f329(f289(x92921,x92921),x92924)))) % 166.45/166.22 [9375]E(f329(f329(f162(x93751,f329(f171(x93751),x93752)),f329(f329(f23(a905),f329(f329(f23(a905),f329(f192(f906(x93751)),x93752)),x93753)),f80(a905))),x93754),f329(f171(x93751),f329(f329(f162(x93751,x93752),x93753),x93754)))+~P1(f329(f329(f240(a905),x93753),f329(f192(f906(x93751)),x93752))) % 166.45/166.22 [9379]~P1(f329(x93792,f756(x93794,x93792,x93793,x93791)))+E(f329(f329(f141(x93791),f329(f192(f906(x93791)),f180(x93791,x93792,f329(f329(f137(x93791),x93793),x93794)))),f329(f329(f137(x93791),x93793),x93794)),f329(f329(f141(x93791),f329(f192(f906(x93791)),f180(x93791,x93792,x93794))),x93794)) % 166.45/166.22 [9422]~P24(x94222,x94221,x94223,f247(f913(x94222,a900)))+P1(f329(f329(f239(f913(x94221,a900)),f329(f312(x94222,x94221,x94223),f329(f81(f913(x94222,a900)),x94224))),f329(f81(f913(x94221,a900)),f329(f312(x94222,x94221,x94223),x94224)))) % 166.45/166.22 [9435]~P4(x94351)+E(f329(f145(x94351,x94352,f329(f7(x94352,x94351,x94351),f329(f329(f8(x94351,f913(x94351,x94351),x94352),f115(x94351)),x94353)),f191(x94351)),x94354),f329(f329(f41(x94352,x94351),f329(f175(x94352),x94354)),x94353)) % 166.45/166.22 [9436]~P4(x94361)+E(f329(f145(x94361,x94362,f329(f7(x94362,x94361,x94361),f329(f329(f8(x94361,f913(x94361,x94361),x94362),f106(x94361)),x94363)),f247(x94361)),x94364),f329(f329(f42(x94362,x94361),f329(f175(x94362),x94364)),x94363)) % 166.45/166.22 [9446]E(f329(f329(f141(x94461),f329(f192(f906(x94461)),f180(x94461,x94462,f329(f329(f137(x94461),x94463),x94464)))),f329(f329(f137(x94461),x94463),x94464)),f329(f329(f141(x94461),f329(f192(f906(x94461)),f180(x94461,x94462,x94464))),x94464))+P1(f329(f329(f331(x94461),f756(x94464,x94462,x94463,x94461)),f329(f175(x94461),x94463))) % 166.45/166.22 [9514]~P1(f329(f329(f331(f912(f906(x95144),f906(x95144))),f329(f329(f257(f906(x95144),f906(x95144)),x95143),x95142)),f160(x95144,x95141)))+P1(f329(f329(f240(a905),f695(x95141,x95142,x95143,x95144)),f329(f192(f906(x95144)),x95143))) % 166.45/166.22 [9515]~P63(x95151)+E(f329(f329(f82(x95151),f329(f329(f82(x95151),f329(f329(f83(x95151),f329(f329(f38(x95151),x95152),x95153)),x95153)),f47(x95151,x95152,x95153))),x95154),f329(f329(f82(x95151),x95152),x95154)) % 166.45/166.22 [9544]~P1(f329(f329(f331(f912(f906(x95441),f906(x95441))),f329(f329(f257(f906(x95441),f906(x95441)),x95442),x95443)),f329(f289(f906(x95441),f906(x95441)),f160(x95441,x95444))))+P1(f329(f329(f331(f912(f906(x95441),f906(x95441))),f329(f329(f257(f906(x95441),f906(x95441)),x95442),x95443)),f160(x95441,f329(f289(x95441,x95441),x95444)))) % 166.45/166.22 [9545]P1(f329(f329(f331(f912(f906(x95451),f906(x95451))),f329(f329(f257(f906(x95451),f906(x95451)),x95452),x95453)),f329(f289(f906(x95451),f906(x95451)),f160(x95451,x95454))))+~P1(f329(f329(f331(f912(f906(x95451),f906(x95451))),f329(f329(f257(f906(x95451),f906(x95451)),x95452),x95453)),f160(x95451,f329(f289(x95451,x95451),x95454)))) % 166.45/166.22 [9585]~P1(f329(f329(f331(x95851),x95853),f329(f269(x95851,x95852),x95854)))+P1(f329(f329(f331(f912(x95851,x95852)),f329(f329(f257(x95851,x95852),x95853),f542(x95854,x95852,x95853,x95851))),x95854)) % 166.45/166.22 [9586]~P1(f329(f329(f331(x95861),x95863),f329(f269(x95861,x95862),x95864)))+P1(f329(f329(f331(f912(x95861,x95862)),f329(f329(f257(x95861,x95862),x95863),f544(x95864,x95862,x95863,x95861))),x95864)) % 166.45/166.22 [9744]~P1(f329(f329(f331(f912(x97441,x97441)),f329(f329(f257(x97441,x97441),x97442),x97444)),f329(f329(f291(x97441,x97441,x97441),x97443),f309(x97441,x97443))))+P1(f329(f329(f331(f912(x97441,x97441)),f329(f329(f257(x97441,x97441),x97442),f619(x97443,x97444,x97442,x97441))),x97443)) % 166.45/166.22 [9911]~P1(f329(f329(f331(f912(x99112,x99111)),x99114),f329(f289(x99111,x99112),x99113)))+P1(f329(f329(f331(f912(x99111,x99112)),f329(f329(f257(x99111,x99112),f668(x99113,x99114,x99111,x99112)),f667(x99113,x99114,x99111,x99112))),x99113)) % 166.45/166.22 [9936]~P1(f329(f329(f331(f912(f906(x99361),f906(x99361))),f329(f329(f257(f906(x99361),f906(x99361)),x99364),x99363)),f160(x99361,x99362)))+P1(f329(f329(f331(f912(x99361,x99361)),f329(f329(f257(x99361,x99361),f707(x99362,x99363,x99364,x99361)),f708(x99362,x99363,x99364,x99361))),x99362)) % 166.45/166.22 [10023]~P1(f329(f329(f331(f912(f906(x100231),f906(x100231))),f329(f329(f257(f906(x100231),f906(x100231)),x100232),x100234)),f160(x100231,x100233)))+P1(f329(f329(f331(f912(x100231,x100231)),f329(f329(f257(x100231,x100231),f329(f329(f167(x100231),x100232),f695(x100233,x100234,x100232,x100231))),f696(x100233,x100234,x100232,x100231))),x100233)) % 166.45/166.22 [10044]~P1(f329(f63(x100442),x100444))+E(f329(f329(f329(f67(f913(x100441,a900),x100442,f115(f913(x100441,a900))),f329(f329(f7(x100442,f913(x100441,a900),f913(x100441,a900)),f329(f329(f8(x100441,f913(f913(x100441,a900),f913(x100441,a900)),x100442),f311(x100441)),x100443)),f191(f913(x100441,a900)))),f191(f913(x100441,a900))),x100444),f329(f312(x100442,x100441,x100443),x100444)) % 166.45/166.22 [10139]~P24(x101391,x101392,x101393,f247(f913(x101391,a900)))+P1(f329(f329(f239(f913(x101391,a900)),f329(f313(x101391,x101392,x101393),f329(f329(f311(x101392),x101394),f191(f913(x101392,a900))))),f329(f329(f311(x101391),f87(x101391,f329(f329(f7(x101391,x101392,a900),f329(f329(f8(x101392,f913(x101392,a900),x101391),a326),x101393)),x101394))),f191(f913(x101391,a900))))) % 166.45/166.22 [5723]~E(f329(f329(f137(x57231),x57232),x57234),x57233)+E(f329(f329(f178(x57231),f329(f192(f906(x57231)),x57232)),x57233),x57232) % 166.45/166.22 [5724]~E(f329(f329(f137(x57242),x57243),x57241),x57244)+E(x57241,f329(f329(f141(x57242),f329(f192(f906(x57242)),x57243)),x57244)) % 166.45/166.22 [5735]~E(x57354,f2(a905))+E(f329(f329(f167(x57351),f329(f329(f154(x57351),x57352),x57353)),x57354),x57352) % 166.45/166.22 [6274]~P118(x62741)+E(f329(f329(f249(x62741),f329(f329(f249(x62741),x62742),x62743)),x62744),f329(f329(f249(x62741),x62742),f329(f329(f83(a905),x62743),x62744))) % 166.45/166.22 [6275]~P86(x62751)+E(f329(f329(f249(x62751),f329(f329(f249(x62751),x62752),x62753)),x62754),f329(f329(f249(x62751),x62752),f329(f329(f83(a905),x62753),x62754))) % 166.45/166.22 [6283]E(x62831,f2(a905))+E(f329(f329(f167(x62832),f329(f329(f154(x62832),x62833),x62834)),x62831),f329(f329(f167(x62832),x62834),f329(f329(f23(a905),x62831),f80(a905)))) % 166.45/166.22 [6311]~P124(x63111)+E(f329(f329(f292(x63111),f329(f329(f83(x63111),x63112),x63113)),x63114),f329(f329(f83(x63111),x63112),f329(f329(f292(x63111),x63113),x63114))) % 166.45/166.22 [6312]~P2(x63121)+E(f329(f329(f115(x63121),f329(f329(f115(x63121),x63122),x63123)),x63124),f329(f329(f115(x63121),x63122),f329(f329(f115(x63121),x63123),x63124))) % 166.45/166.22 [6314]~P106(x63141)+E(f329(f329(f115(x63141),f329(f329(f115(x63141),x63142),x63143)),x63144),f329(f329(f115(x63141),x63142),f329(f329(f115(x63141),x63143),x63144))) % 166.45/166.22 [6315]~P2(x63151)+E(f329(f329(f106(x63151),f329(f329(f106(x63151),x63152),x63153)),x63154),f329(f329(f106(x63151),x63152),f329(f329(f106(x63151),x63153),x63154))) % 166.45/166.22 [6317]~P107(x63171)+E(f329(f329(f106(x63171),f329(f329(f106(x63171),x63172),x63173)),x63174),f329(f329(f106(x63171),x63172),f329(f329(f106(x63171),x63173),x63174))) % 166.45/166.22 [6318]~P77(x63181)+E(f329(f329(f82(x63181),f329(f329(f82(x63181),x63182),x63183)),x63184),f329(f329(f82(x63181),x63182),f329(f329(f82(x63181),x63183),x63184))) % 166.45/166.22 [6319]~P118(x63191)+E(f329(f329(f82(x63191),f329(f329(f82(x63191),x63192),x63193)),x63194),f329(f329(f82(x63191),x63192),f329(f329(f82(x63191),x63193),x63194))) % 166.45/166.22 [6320]~P118(x63201)+E(f329(f329(f83(x63201),f329(f329(f83(x63201),x63202),x63203)),x63204),f329(f329(f83(x63201),x63202),f329(f329(f83(x63201),x63203),x63204))) % 166.45/166.22 [6321]~P78(x63211)+E(f329(f329(f83(x63211),f329(f329(f83(x63211),x63212),x63213)),x63214),f329(f329(f83(x63211),x63212),f329(f329(f83(x63211),x63213),x63214))) % 166.45/166.22 [6324]~P105(x63241)+E(f329(f329(f237(x63241),f329(f329(f237(x63241),x63242),x63243)),x63244),f329(f329(f237(x63241),x63242),f329(f329(f237(x63241),x63243),x63244))) % 166.45/166.22 [6326]~P105(x63261)+E(f329(f329(f238(x63261),f329(f329(f238(x63261),x63262),x63263)),x63264),f329(f329(f238(x63261),x63262),f329(f329(f238(x63261),x63263),x63264))) % 166.45/166.22 [6335]~P63(x63351)+E(f47(x63351,f329(f329(f82(x63351),x63352),f329(f329(f83(x63351),x63353),x63354)),x63354),f47(x63351,x63352,x63354)) % 166.45/166.22 [6336]~P63(x63361)+E(f47(x63361,f329(f329(f82(x63361),x63362),f329(f329(f83(x63361),x63363),x63364)),x63363),f47(x63361,x63362,x63363)) % 166.45/166.22 [6470]E(f329(f329(f167(x64701),f329(f329(f178(x64701),x64702),x64703)),x64704),f329(f329(f167(x64701),x64703),x64704))+~P1(f329(f329(f240(a905),x64704),x64702)) % 166.45/166.22 [6651]~E(x66512,x66514)+P1(f329(f329(f175(x66511),f329(f329(f154(x66511),x66512),x66513)),x66514)) % 166.45/166.22 [6653]~P118(x66531)+E(f329(f329(f82(x66531),f329(f329(f82(x66531),x66532),x66533)),x66534),f329(f329(f82(x66531),f329(f329(f82(x66531),x66532),x66534)),x66533)) % 166.45/166.22 [6654]~P118(x66541)+E(f329(f329(f83(x66541),f329(f329(f83(x66541),x66542),x66543)),x66544),f329(f329(f83(x66541),f329(f329(f83(x66541),x66542),x66544)),x66543)) % 166.45/166.22 [6715]~P147(x67152)+E(f329(f329(f6(x67151,x67152),f329(f16(x67152,x67151),x67153)),x67154),f329(f329(f83(x67152),f329(f105(x67152),f329(f37(x67151),x67154))),x67153)) % 166.45/166.22 [6882]E(f329(f329(f106(f913(x68821,a900)),f329(f329(f311(x68821),x68822),x68823)),x68824),f329(f329(f106(f913(x68821,a900)),x68823),x68824))+P1(f329(f329(f331(x68821),x68822),x68824)) % 166.45/166.22 [6949]~P102(x69491)+E(f329(f329(f106(x69491),f329(f329(f115(x69491),x69492),x69493)),f329(f329(f115(x69491),x69494),x69493)),f329(f329(f115(x69491),f329(f329(f106(x69491),x69492),x69494)),x69493)) % 166.45/166.22 [6950]~P83(x69501)+E(f329(f329(f237(x69501),f329(f329(f23(x69501),x69502),x69503)),f329(f329(f23(x69501),x69504),x69503)),f329(f329(f23(x69501),f329(f329(f237(x69501),x69502),x69504)),x69503)) % 166.45/166.22 [6951]~P83(x69511)+E(f329(f329(f238(x69511),f329(f329(f23(x69511),x69512),x69513)),f329(f329(f23(x69511),x69514),x69513)),f329(f329(f23(x69511),f329(f329(f238(x69511),x69512),x69514)),x69513)) % 166.45/166.22 [6952]~P102(x69521)+E(f329(f329(f115(x69521),f329(f329(f106(x69521),x69522),x69523)),f329(f329(f106(x69521),x69524),x69523)),f329(f329(f106(x69521),f329(f329(f115(x69521),x69522),x69524)),x69523)) % 166.45/166.22 [6953]~P92(x69531)+E(f329(f329(f237(x69531),f329(f329(f82(x69531),x69532),x69533)),f329(f329(f82(x69531),x69534),x69533)),f329(f329(f82(x69531),f329(f329(f237(x69531),x69532),x69534)),x69533)) % 166.45/166.22 [6954]~P92(x69541)+E(f329(f329(f238(x69541),f329(f329(f82(x69541),x69542),x69543)),f329(f329(f82(x69541),x69544),x69543)),f329(f329(f82(x69541),f329(f329(f238(x69541),x69542),x69544)),x69543)) % 166.45/166.22 [6956]~P119(x69561)+E(f329(f329(f82(x69561),f329(f329(f83(x69561),x69562),x69563)),f329(f329(f83(x69561),x69564),x69563)),f329(f329(f83(x69561),f329(f329(f82(x69561),x69562),x69564)),x69563)) % 166.45/166.22 [6957]~P105(x69571)+E(f329(f329(f238(x69571),f329(f329(f237(x69571),x69572),x69573)),f329(f329(f237(x69571),x69574),x69573)),f329(f329(f237(x69571),f329(f329(f238(x69571),x69572),x69574)),x69573)) % 166.45/166.22 [6958]~P105(x69581)+E(f329(f329(f237(x69581),f329(f329(f238(x69581),x69582),x69583)),f329(f329(f238(x69581),x69584),x69583)),f329(f329(f238(x69581),f329(f329(f237(x69581),x69582),x69584)),x69583)) % 166.45/166.22 [6959]~P118(x69591)+E(f329(f329(f83(x69591),f329(f329(f249(x69591),x69592),x69593)),f329(f329(f249(x69591),x69594),x69593)),f329(f329(f249(x69591),f329(f329(f83(x69591),x69592),x69594)),x69593)) % 166.45/166.22 [6960]~P80(x69601)+E(f329(f329(f83(x69601),f329(f329(f249(x69601),x69602),x69603)),f329(f329(f249(x69601),x69604),x69603)),f329(f329(f249(x69601),f329(f329(f83(x69601),x69602),x69604)),x69603)) % 166.45/166.22 [6961]~P70(x69611)+E(f329(f329(f292(x69611),f329(f329(f249(x69611),x69612),x69613)),f329(f329(f249(x69611),x69614),x69613)),f329(f329(f249(x69611),f329(f329(f292(x69611),x69612),x69614)),x69613)) % 166.45/166.22 [6962]~P124(x69621)+E(f329(f329(f23(x69621),f329(f329(f292(x69621),x69622),x69623)),f329(f329(f292(x69621),x69624),x69623)),f329(f329(f292(x69621),f329(f329(f23(x69621),x69622),x69624)),x69623)) % 166.45/166.22 [6963]~P124(x69631)+E(f329(f329(f82(x69631),f329(f329(f292(x69631),x69632),x69633)),f329(f329(f292(x69631),x69634),x69633)),f329(f329(f292(x69631),f329(f329(f82(x69631),x69632),x69634)),x69633)) % 166.45/166.22 [6964]~P118(x69641)+E(f329(f329(f82(x69641),f329(f329(f83(x69641),x69642),x69643)),f329(f329(f83(x69641),x69644),x69643)),f329(f329(f83(x69641),f329(f329(f82(x69641),x69642),x69644)),x69643)) % 166.45/166.22 [6995]E(f329(f329(f162(x69951,x69952),x69953),x69954),x69952)+~P1(f329(f329(f239(a905),f329(f192(f906(x69951)),x69952)),x69953)) % 166.45/166.22 [7021]~P1(f329(x70213,x70214))+P1(f329(f329(f329(f115(f913(x70211,a900)),x70212),x70213),x70214)) % 166.45/166.22 [7023]~P1(f329(x70232,x70234))+P1(f329(f329(f329(f115(f913(x70231,a900)),x70232),x70233),x70234)) % 166.45/166.22 [7043]E(f329(f329(f167(x70431),f329(f329(f137(x70431),x70432),x70433)),x70434),f329(f329(f167(x70431),x70432),x70434))+~P1(f329(f329(f240(a905),x70434),f329(f192(f906(x70431)),x70432))) % 166.45/166.22 [7053]E(f329(f329(f23(f913(x70531,a900)),f329(f329(f311(x70531),x70532),x70533)),x70534),f329(f329(f23(f913(x70531,a900)),x70533),x70534))+~P1(f329(f329(f331(x70531),x70532),x70534)) % 166.45/166.22 [7094]~E(f142(a905,f329(f304(a905,x70941),x70942)),f329(f329(f154(a905),x70944),x70943))+E(f142(a905,f329(f304(a905,f329(f329(f82(a905),x70941),f80(a905))),x70942)),x70943) % 166.45/166.22 [7115]~P1(f329(f329(f175(x71151),x71153),x71154))+P1(f329(f329(f175(x71151),f329(f329(f154(x71151),x71152),x71153)),x71154)) % 166.45/166.22 [7164]E(x71641,f2(a905))+E(f329(f329(f154(x71642),x71643),f329(f329(f178(x71642),f329(f329(f23(a905),x71641),f80(a905))),x71644)),f329(f329(f178(x71642),x71641),f329(f329(f154(x71642),x71643),x71644))) % 166.45/166.22 [7263]E(f329(f329(f167(x72631),x72632),f329(f329(f23(a905),x72633),f329(f192(f906(x72631)),x72634))),f329(f329(f167(x72631),f329(f329(f137(x72631),x72634),x72632)),x72633))+P1(f329(f329(f240(a905),x72633),f329(f192(f906(x72631)),x72634))) % 166.45/166.22 [7292]E(f329(f329(f106(f913(x72921,a900)),x72922),f329(f329(f311(x72921),x72923),x72924)),f329(f329(f311(x72921),x72923),f329(f329(f106(f913(x72921,a900)),x72922),x72924)))+~P1(f329(f329(f331(x72921),x72923),x72922)) % 166.45/166.22 [7330]E(f329(f329(f167(x73301),f329(f329(f162(x73301,x73302),x73303),x73304)),x73303),x73304)+~P1(f329(f329(f240(a905),x73303),f329(f192(f906(x73301)),x73302))) % 166.45/166.22 [7352]E(x73521,f191(f913(x73522,a900)))+E(f329(f312(f912(x73523,x73522),x73523,f256(x73523,x73522)),f329(f329(f259(x73523,x73522),x73524),f329(f16(f913(x73522,a900),x73523),x73521))),x73524) % 166.45/166.22 [7353]E(x73531,f191(f913(x73532,a900)))+E(f329(f312(f912(x73532,x73533),x73533,f261(x73532,x73533)),f329(f329(f259(x73532,x73533),x73531),f329(f16(f913(x73533,a900),x73532),x73534))),x73534) % 166.45/166.22 [7432]E(f329(f329(f23(f913(x74321,a900)),f329(f329(f311(x74321),x74322),x74323)),x74324),f329(f329(f311(x74321),x74322),f329(f329(f23(f913(x74321,a900)),x74323),x74324)))+P1(f329(f329(f331(x74321),x74322),x74324)) % 166.45/166.22 [7469]~E(x74694,f191(f913(x74692,a900)))+E(f329(f312(f912(x74691,x74692),x74691,f256(x74691,x74692)),f329(f329(f259(x74691,x74692),x74693),f329(f16(f913(x74692,a900),x74691),x74694))),f191(f913(x74691,a900))) % 166.45/166.22 [7470]~E(x74703,f191(f913(x74701,a900)))+E(f329(f312(f912(x74701,x74702),x74702,f261(x74701,x74702)),f329(f329(f259(x74701,x74702),x74703),f329(f16(f913(x74702,a900),x74701),x74704))),f191(f913(x74702,a900))) % 166.45/166.22 [7524]~P1(f329(f329(f331(x75241),x75242),x75244))+P1(f329(f329(f331(x75241),x75242),f329(f329(f115(f913(x75241,a900)),x75243),x75244))) % 166.45/166.22 [7527]~P1(f329(f329(f331(x75271),x75272),x75273))+P1(f329(f329(f331(x75271),x75272),f329(f329(f115(f913(x75271,a900)),x75273),x75274))) % 166.45/166.22 [7548]E(f329(f329(f106(f913(x75481,a900)),f329(f329(f311(x75481),x75482),x75483)),x75484),f329(f329(f311(x75481),x75482),f329(f329(f106(f913(x75481,a900)),x75483),x75484)))+~P1(f329(f329(f331(x75481),x75482),x75484)) % 166.45/166.22 [7821]P1(f329(x78211,x78212))+~P1(f329(f329(f329(f106(f913(x78213,a900)),x78214),x78211),x78212)) % 166.45/166.22 [7822]P1(f329(x78221,x78222))+~P1(f329(f329(f329(f106(f913(x78223,a900)),x78221),x78224),x78222)) % 166.45/166.22 [7823]E(f329(f329(f6(x78231,a905),x78232),f329(f329(f23(f913(x78231,a900)),x78233),f329(f329(f311(x78231),x78234),f191(f913(x78231,a900))))),f329(f329(f6(x78231,a905),x78232),x78233))+P1(f329(f329(f331(x78231),x78234),x78233)) % 166.45/166.22 [7829]~P74(x78291)+E(f329(f168(x78291),f329(f329(f157(a905,x78291),x78292),f142(a905,f329(f304(a905,x78293),x78294)))),f329(f329(f6(a905,x78291),x78292),f329(f175(a905),f142(a905,f329(f304(a905,x78293),x78294))))) % 166.45/166.22 [7830]~P74(x78301)+E(f329(f329(f6(a905,x78301),x78302),f329(f175(a905),f142(a905,f329(f304(a905,x78303),x78304)))),f329(f168(x78301),f329(f329(f157(a905,x78301),x78302),f142(a905,f329(f304(a905,x78303),x78304))))) % 166.45/166.22 [7949]~E(x79493,x79494)+P1(f329(f64(x79491,x79492,f329(f329(f311(x79491),x79493),f191(f913(x79491,a900)))),x79494)) % 166.45/166.22 [8046]P1(f329(f329(f331(x80461),x80462),f329(f175(x80461),x80463)))+~P1(f329(f329(f331(x80461),x80462),f329(f175(x80461),f329(f329(f178(x80461),x80464),x80463)))) % 166.45/166.22 [8047]P1(f329(f329(f331(x80471),x80472),f329(f175(x80471),x80473)))+~P1(f329(f329(f331(x80471),x80472),f329(f175(x80471),f329(f329(f141(x80471),x80474),x80473)))) % 166.45/166.22 [8123]P1(f329(f329(f331(x81231),x81232),x81233))+~P1(f329(f329(f331(x81231),x81232),f329(f329(f23(f913(x81231,a900)),x81233),x81234))) % 166.45/166.22 [8125]P1(f329(f329(f331(x81251),x81252),x81253))+~P1(f329(f329(f331(x81251),x81252),f329(f329(f106(f913(x81251,a900)),x81254),x81253))) % 166.45/166.22 [8128]P1(f329(f329(f331(x81281),x81282),x81283))+~P1(f329(f329(f331(x81281),x81282),f329(f329(f106(f913(x81281,a900)),x81283),x81284))) % 166.45/166.22 [8146]E(f329(f329(f137(x81461),f329(f329(f178(x81461),x81462),x81463)),f329(f329(f154(x81461),x81464),f329(f329(f141(x81461),f329(a117,x81462)),x81463))),f329(f329(f162(x81461,x81463),x81462),x81464))+~P1(f329(f329(f240(a905),x81462),f329(f192(f906(x81461)),x81463))) % 166.45/166.22 [8171]P1(f329(f329(f331(x81711),x81712),x81713))+~P1(f329(f329(f239(f913(x81711,a900)),f329(f329(f311(x81711),x81712),x81714)),x81713)) % 166.45/166.22 [8208]~P1(f329(f329(f331(x82081),x82082),x82083))+~P1(f329(f329(f331(x82081),x82082),f329(f329(f23(f913(x82081,a900)),x82084),x82083))) % 166.45/166.22 [8241]~P1(f329(f329(f240(a905),x82414),f329(f192(f906(x82411)),x82413)))+P1(f329(f329(f331(x82411),x82412),f329(f175(x82411),f329(f329(f162(x82411,x82413),x82414),x82412)))) % 166.45/166.22 [8292]E(f329(f329(f167(x82921),f329(f329(f141(x82921),x82922),x82923)),x82924),f329(f329(f167(x82921),x82923),f329(f329(f82(a905),x82922),x82924)))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x82922),x82924)),f329(f192(f906(x82921)),x82923))) % 166.45/166.22 [8301]~P147(x83012)+E(f329(f329(f6(x83011,x83012),f329(f329(f8(a905,x83012,x83011),f105(x83012)),x83013)),x83014),f329(f105(x83012),f329(f329(f6(x83011,a905),x83013),x83014))) % 166.45/166.22 [8302]~P142(x83022)+E(f329(f329(f6(x83021,x83022),f329(f329(f8(a1,x83022,x83021),f107(x83022)),x83023)),x83024),f329(f107(x83022),f329(f329(f6(x83021,a1),x83023),x83024))) % 166.45/166.22 [8353]~P73(x83532)+E(f329(f329(f9(x83531,x83532),f329(f329(f8(x83532,x83532,x83531),f77(x83532)),x83533)),x83534),f329(f77(x83532),f329(f329(f9(x83531,x83532),x83533),x83534))) % 166.45/166.22 [8354]~P68(x83542)+E(f329(f329(f6(x83541,x83542),f329(f329(f8(x83542,x83542,x83541),f81(x83542)),x83543)),x83544),f329(f81(x83542),f329(f329(f6(x83541,x83542),x83543),x83544))) % 166.45/166.22 [8356]E(f329(f329(f6(x83561,a905),x83562),f329(f329(f23(f913(x83561,a900)),x83563),f329(f329(f311(x83561),x83564),f191(f913(x83561,a900))))),f329(f329(f23(a905),f329(f329(f6(x83561,a905),x83562),x83563)),f329(x83562,x83564)))+~P1(f329(f329(f331(x83561),x83564),x83563)) % 166.45/166.22 [8375]P1(f329(f329(f239(f913(x83751,a900)),x83752),x83753))+~P1(f329(f329(f239(f913(x83751,a900)),f329(f329(f311(x83751),x83754),x83752)),x83753)) % 166.45/166.22 [8500]~E(f329(f312(x85002,x85003,x85001),f247(f913(x85002,a900))),f247(f913(x85003,a900)))+E(f329(x85001,f329(f94(x85002,x85003,f247(f913(x85002,a900)),x85001),x85004)),x85004) % 166.45/166.22 [8589]P37(x85891,x85892)+~P37(x85891,f329(f329(f311(f912(x85891,x85891)),f329(f329(f257(x85891,x85891),x85893),x85894)),x85892)) % 166.45/166.22 [8590]P60(x85901,x85902)+~P60(x85901,f329(f329(f311(f912(x85901,x85901)),f329(f329(f257(x85901,x85901),x85903),x85904)),x85902)) % 166.45/166.22 [8598]~P105(x85981)+E(f329(f329(f151(x85981,x85981,f5(x85981)),x85982),f329(f329(f151(x85981,x85981,f5(x85981)),x85983),x85984)),f329(f329(f151(x85981,x85981,f5(x85981)),x85983),f329(f329(f151(x85981,x85981,f5(x85981)),x85982),x85984))) % 166.45/166.22 [8613]E(x86131,x86132)+~P1(f329(f64(x86133,x86134,f329(f329(f311(x86133),x86131),f191(f913(x86133,a900)))),x86132)) % 166.45/166.22 [8624]E(f329(f329(f137(x86241),f329(f329(f178(x86241),x86242),x86243)),f329(f329(f178(x86241),x86244),f329(f329(f141(x86241),x86242),x86243))),f329(f329(f178(x86241),f329(f329(f82(a905),x86242),x86244)),x86243))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x86242),x86244)),f329(f192(f906(x86241)),x86243))) % 166.45/166.22 [8665]P1(f329(f63(x86651),x86652))+~E(x86652,f329(f312(a905,x86651,x86653),f329(f267(a905),f329(f329(f7(a905,a905,a900),f240(a905)),x86654)))) % 166.45/166.22 [8685]~P95(x86851)+E(f329(f145(x86851,x86851,f82(x86851),f329(f329(f82(x86851),x86852),x86853)),x86854),f329(f329(f82(x86851),x86852),f329(f145(x86851,x86851,f82(x86851),x86853),x86854))) % 166.45/166.22 [8720]P1(f329(f329(f239(f913(x87201,a900)),f329(f269(x87201,x87202),x87203)),f329(f269(x87201,x87202),x87204)))+~P1(f329(f329(f239(f913(f912(x87201,x87202),a900)),x87203),x87204)) % 166.45/166.22 [8732]~P1(f329(f329(f239(a905),x87322),x87324))+P1(f329(f329(f239(f913(x87321,a900)),f329(f175(x87321),f329(f329(f178(x87321),x87322),x87323))),f329(f175(x87321),f329(f329(f178(x87321),x87324),x87323)))) % 166.45/166.22 [8733]~P1(f329(f329(f239(a905),x87334),x87332))+P1(f329(f329(f239(f913(x87331,a900)),f329(f175(x87331),f329(f329(f141(x87331),x87332),x87333))),f329(f175(x87331),f329(f329(f141(x87331),x87334),x87333)))) % 166.45/166.22 [8786]~P1(f329(f63(x87861),f329(f329(f23(f913(x87861,a900)),x87862),x87864)))+P1(f329(f63(x87861),f329(f329(f23(f913(x87861,a900)),x87862),f329(f329(f311(x87861),x87863),x87864)))) % 166.45/166.22 [8823]P1(f329(f329(f331(f912(x88231,x88231)),x88232),f309(x88231,x88233)))+~P1(f329(f329(f331(f912(x88231,x88231)),x88232),f329(f329(f186(f912(x88231,x88231),a900),x88234),x88233))) % 166.45/166.22 [8903]~P1(f329(f63(x89031),f329(f329(f23(f913(x89031,a900)),x89032),f329(f329(f311(x89031),x89034),x89033))))+P1(f329(f63(x89031),f329(f329(f23(f913(x89031,a900)),x89032),x89033))) % 166.45/166.22 [9117]~P2(x91171)+P1(f329(f329(f239(x91171),f329(f329(f115(x91171),x91172),f329(f329(f106(x91171),x91173),x91174))),f329(f329(f106(x91171),f329(f329(f115(x91171),x91172),x91173)),f329(f329(f115(x91171),x91172),x91174)))) % 166.45/166.22 [9118]~P105(x91181)+P1(f329(f329(f239(x91181),f329(f329(f238(x91181),x91182),f329(f329(f237(x91181),x91183),x91184))),f329(f329(f237(x91181),f329(f329(f238(x91181),x91182),x91183)),f329(f329(f238(x91181),x91182),x91184)))) % 166.45/166.22 [9275]E(x92751,x92752)+~P1(f329(f329(f331(f912(x92753,x92753)),f329(f329(f257(x92753,x92753),x92751),x92752)),f329(f175(f912(x92753,x92753)),f329(f329(f184(x92753,x92753),x92754),x92754)))) % 166.45/166.22 [9307]~P1(f329(f329(f331(f912(x93071,x93071)),f329(f329(f257(x93071,x93071),x93073),x93072)),f309(x93071,x93074)))+~P37(x93071,f329(f329(f311(f912(x93071,x93071)),f329(f329(f257(x93071,x93071),x93072),x93073)),x93074)) % 166.45/166.22 [9308]~P1(f329(f329(f331(f912(x93081,x93081)),f329(f329(f257(x93081,x93081),x93083),x93082)),f309(x93081,x93084)))+~P60(x93081,f329(f329(f311(f912(x93081,x93081)),f329(f329(f257(x93081,x93081),x93082),x93083)),x93084)) % 166.45/166.22 [9312]E(x93121,x93122)+E(f329(f139(x93123,f329(f329(f8(a900,a900,x93123),a324),f329(a326,x93121))),f329(f329(f154(x93123),x93122),x93124)),f329(f329(f154(x93123),x93122),f329(f139(x93123,f329(f329(f8(a900,a900,x93123),a324),f329(a326,x93121))),x93124))) % 166.45/166.22 [9354]~P2(x93541)+P1(f329(f329(f239(x93541),f329(f329(f115(x93541),f329(f329(f106(x93541),x93542),x93543)),f329(f329(f106(x93541),x93542),x93544))),f329(f329(f106(x93541),x93542),f329(f329(f115(x93541),x93543),x93544)))) % 166.45/166.22 [9355]~P105(x93551)+P1(f329(f329(f239(x93551),f329(f329(f238(x93551),f329(f329(f237(x93551),x93552),x93553)),f329(f329(f237(x93551),x93552),x93554))),f329(f329(f237(x93551),x93552),f329(f329(f238(x93551),x93553),x93554)))) % 166.45/166.22 [9416]~P25(x94162,x94161,x94164,f247(f913(x94162,a900)),f247(f913(x94161,a900)))+E(f329(f267(x94161),f329(f329(f8(x94162,a900,x94161),x94163),f94(x94162,x94161,f247(f913(x94162,a900)),x94164))),f329(f312(x94162,x94161,x94164),f329(f267(x94162),x94163))) % 166.45/166.22 [9430]~E(f329(f312(x94302,x94301,x94303),f247(f913(x94302,a900))),f247(f913(x94301,a900)))+P1(f329(f329(f239(f913(x94301,a900)),f329(f81(f913(x94301,a900)),f329(f312(x94302,x94301,x94303),x94304))),f329(f312(x94302,x94301,x94303),f329(f81(f913(x94302,a900)),x94304)))) % 166.45/166.22 [9757]P1(f329(f329(f331(f912(x97571,x97571)),f329(f329(f257(x97571,x97571),x97572),x97573)),f329(f289(x97571,x97571),f329(f329(f291(x97571,x97571,x97571),x97574),f309(x97571,x97574)))))+~P1(f329(f329(f331(f912(x97571,x97571)),f329(f329(f257(x97571,x97571),x97572),x97573)),f329(f329(f291(x97571,x97571,x97571),f329(f289(x97571,x97571),x97574)),f309(x97571,f329(f289(x97571,x97571),x97574))))) % 166.45/166.22 [9758]~P1(f329(f329(f331(f912(x97581,x97581)),f329(f329(f257(x97581,x97581),x97582),x97583)),f329(f289(x97581,x97581),f329(f329(f291(x97581,x97581,x97581),x97584),f309(x97581,x97584)))))+P1(f329(f329(f331(f912(x97581,x97581)),f329(f329(f257(x97581,x97581),x97582),x97583)),f329(f329(f291(x97581,x97581,x97581),f329(f289(x97581,x97581),x97584)),f309(x97581,f329(f289(x97581,x97581),x97584))))) % 166.45/166.22 [9779]~P1(f329(f329(f331(x97792),x97794),f329(f287(x97791,x97792),x97793)))+P1(f329(f329(f331(f912(x97791,x97792)),f329(f329(f257(x97791,x97792),f540(x97793,x97791,x97794,x97792)),x97794)),x97793)) % 166.45/166.22 [9780]~P1(f329(f329(f331(x97802),x97804),f329(f287(x97801,x97802),x97803)))+P1(f329(f329(f331(f912(x97801,x97802)),f329(f329(f257(x97801,x97802),f543(x97803,x97801,x97804,x97802)),x97804)),x97803)) % 166.45/166.22 [9805]~P1(f329(f329(f331(x98051),x98054),f329(f329(f115(f913(x98051,a900)),x98052),x98053)))+P1(f329(f329(f329(f115(f913(x98051,a900)),f329(f329(f7(x98051,f913(x98051,a900),a900),f331(x98051)),x98052)),f329(f329(f7(x98051,f913(x98051,a900),a900),f331(x98051)),x98053)),x98054)) % 166.45/166.22 [9806]~P1(f329(f329(f331(x98061),x98064),f329(f329(f106(f913(x98061,a900)),x98062),x98063)))+P1(f329(f329(f329(f106(f913(x98061,a900)),f329(f329(f7(x98061,f913(x98061,a900),a900),f331(x98061)),x98062)),f329(f329(f7(x98061,f913(x98061,a900),a900),f331(x98061)),x98063)),x98064)) % 166.45/166.22 [9887]~P1(f329(f329(f331(f912(x98871,x98871)),f329(f329(f257(x98871,x98871),x98874),x98873)),f329(f329(f291(x98871,x98871,x98871),x98872),f309(x98871,x98872))))+P1(f329(f329(f331(f912(x98871,x98871)),f329(f329(f257(x98871,x98871),f620(x98872,x98873,x98874,x98871)),x98873)),x98872)) % 166.45/166.22 [9924]P1(f329(f329(f331(x99241),x99242),f329(f329(f115(f913(x99241,a900)),x99243),x99244)))+~P1(f329(f329(f329(f115(f913(x99241,a900)),f329(f329(f7(x99241,f913(x99241,a900),a900),f331(x99241)),x99243)),f329(f329(f7(x99241,f913(x99241,a900),a900),f331(x99241)),x99244)),x99242)) % 166.45/166.22 [9925]P1(f329(f329(f331(x99251),x99252),f329(f329(f106(f913(x99251,a900)),x99253),x99254)))+~P1(f329(f329(f329(f106(f913(x99251,a900)),f329(f329(f7(x99251,f913(x99251,a900),a900),f331(x99251)),x99253)),f329(f329(f7(x99251,f913(x99251,a900),a900),f331(x99251)),x99254)),x99252)) % 166.45/166.22 [10192]P32(x101921,f329(f329(f7(x101921,f913(f912(x101921,x101921),a900),f913(x101921,a900)),f329(f329(f8(f913(x101921,f913(f913(f912(x101921,x101921),a900),a900)),f913(f913(f912(x101921,x101921),a900),f913(x101921,a900)),x101921),f7(x101921,f913(f912(x101921,x101921),a900),a900)),f329(f329(f8(f913(x101921,f912(x101921,x101921)),f913(x101921,f913(f913(f912(x101921,x101921),a900),a900)),x101921),f329(f8(f912(x101921,x101921),f913(f913(f912(x101921,x101921),a900),a900),x101921),f331(f912(x101921,x101921)))),f257(x101921,x101921)))),x101922),x101923,x101924)+~P1(f329(f329(f331(f912(f906(x101921),f906(x101921))),f329(f329(f257(f906(x101921),f906(x101921)),x101923),x101924)),f161(x101921,x101922))) % 166.45/166.22 [10196]P61(x101961,f329(f329(f7(x101961,f913(f912(x101961,x101961),a900),f913(x101961,a900)),f329(f329(f8(f913(x101961,f913(f913(f912(x101961,x101961),a900),a900)),f913(f913(f912(x101961,x101961),a900),f913(x101961,a900)),x101961),f7(x101961,f913(f912(x101961,x101961),a900),a900)),f329(f329(f8(f913(x101961,f912(x101961,x101961)),f913(x101961,f913(f913(f912(x101961,x101961),a900),a900)),x101961),f329(f8(f912(x101961,x101961),f913(f913(f912(x101961,x101961),a900),a900),x101961),f331(f912(x101961,x101961)))),f257(x101961,x101961)))),x101962),x101963,x101964)+~P1(f329(f329(f331(f912(f913(x101961,a900),f913(x101961,a900))),f329(f329(f257(f913(x101961,a900),f913(x101961,a900)),x101963),x101964)),f321(x101961,x101962))) % 166.45/166.22 [10232]E(x102321,x102322)+~E(f329(f329(f7(x102323,f913(f912(x102323,x102324),a900),f913(x102324,a900)),f329(f329(f8(f913(x102324,f913(f913(f912(x102323,x102324),a900),a900)),f913(f913(f912(x102323,x102324),a900),f913(x102324,a900)),x102323),f7(x102324,f913(f912(x102323,x102324),a900),a900)),f329(f329(f8(f913(x102324,f912(x102323,x102324)),f913(x102324,f913(f913(f912(x102323,x102324),a900),a900)),x102323),f329(f8(f912(x102323,x102324),f913(f913(f912(x102323,x102324),a900),a900),x102324),f331(f912(x102323,x102324)))),f257(x102323,x102324)))),x102321),f329(f329(f7(x102323,f913(f912(x102323,x102324),a900),f913(x102324,a900)),f329(f329(f8(f913(x102324,f913(f913(f912(x102323,x102324),a900),a900)),f913(f913(f912(x102323,x102324),a900),f913(x102324,a900)),x102323),f7(x102324,f913(f912(x102323,x102324),a900),a900)),f329(f329(f8(f913(x102324,f912(x102323,x102324)),f913(x102324,f913(f913(f912(x102323,x102324),a900),a900)),x102323),f329(f8(f912(x102323,x102324),f913(f913(f912(x102323,x102324),a900),a900),x102324),f331(f912(x102323,x102324)))),f257(x102323,x102324)))),x102322)) % 166.45/166.22 [10235]~P32(x102351,f329(f329(f7(x102351,f913(f912(x102351,x102351),a900),f913(x102351,a900)),f329(f329(f8(f913(x102351,f913(f913(f912(x102351,x102351),a900),a900)),f913(f913(f912(x102351,x102351),a900),f913(x102351,a900)),x102351),f7(x102351,f913(f912(x102351,x102351),a900),a900)),f329(f329(f8(f913(x102351,f912(x102351,x102351)),f913(x102351,f913(f913(f912(x102351,x102351),a900),a900)),x102351),f329(f8(f912(x102351,x102351),f913(f913(f912(x102351,x102351),a900),a900),x102351),f331(f912(x102351,x102351)))),f257(x102351,x102351)))),x102354),x102352,x102353)+P1(f329(f329(f331(f912(f906(x102351),f906(x102351))),f329(f329(f257(f906(x102351),f906(x102351)),x102352),x102353)),f161(x102351,x102354))) % 166.45/166.22 [10236]~P61(x102361,f329(f329(f7(x102361,f913(f912(x102361,x102361),a900),f913(x102361,a900)),f329(f329(f8(f913(x102361,f913(f913(f912(x102361,x102361),a900),a900)),f913(f913(f912(x102361,x102361),a900),f913(x102361,a900)),x102361),f7(x102361,f913(f912(x102361,x102361),a900),a900)),f329(f329(f8(f913(x102361,f912(x102361,x102361)),f913(x102361,f913(f913(f912(x102361,x102361),a900),a900)),x102361),f329(f8(f912(x102361,x102361),f913(f913(f912(x102361,x102361),a900),a900),x102361),f331(f912(x102361,x102361)))),f257(x102361,x102361)))),x102364),x102362,x102363)+P1(f329(f329(f331(f912(f913(x102361,a900),f913(x102361,a900))),f329(f329(f257(f913(x102361,a900),f913(x102361,a900)),x102362),x102363)),f321(x102361,x102364))) % 166.45/166.22 [7598]~P97(x75981)+E(f329(f329(f82(x75981),f329(f108(x75981),x75982)),f329(f329(f23(x75981),f329(f108(x75981),x75983)),x75984)),f329(f329(f23(x75981),f329(f108(x75981),f329(f329(f82(a1),x75982),x75983))),x75984)) % 166.45/166.22 [7599]~P97(x75991)+E(f329(f329(f82(x75991),f329(f108(x75991),x75992)),f329(f329(f82(x75991),f329(f108(x75991),x75993)),x75994)),f329(f329(f82(x75991),f329(f108(x75991),f329(f329(f82(a1),x75992),x75993))),x75994)) % 166.45/166.22 [7600]~P97(x76001)+E(f329(f329(f83(x76001),f329(f108(x76001),x76002)),f329(f329(f83(x76001),f329(f108(x76001),x76003)),x76004)),f329(f329(f83(x76001),f329(f108(x76001),f329(f329(f83(a1),x76002),x76003))),x76004)) % 166.45/166.22 [7640]~P147(x76401)+E(f329(f168(x76401),f329(f329(f157(x76402,x76401),f329(f16(x76401,x76402),x76403)),x76404)),f329(f329(f83(x76401),f329(f105(x76401),f329(f192(f906(x76402)),x76404))),x76403)) % 166.45/166.22 [7878]E(f329(f273(x78781,f329(f329(f154(f912(a104,x78781)),x78782),x78783)),x78784),f329(f261(a104,x78781),x78782))+~P1(f329(f329(f240(a104),x78784),f329(f256(a104,x78781),x78782))) % 166.45/166.22 [7926]~P97(x79261)+E(f329(f329(f82(x79261),f329(f108(x79261),x79262)),f329(f329(f23(x79261),x79263),f329(f108(x79261),x79264))),f329(f329(f82(x79261),f329(f108(x79261),f329(f329(f82(a1),x79262),f329(f81(a1),x79264)))),x79263)) % 166.45/166.22 [8060]E(f329(f273(x80601,x80602),f329(f329(f23(a104),x80603),f329(f256(a104,x80601),x80604))),f329(f273(x80601,f329(f329(f154(f912(a104,x80601)),x80604),x80602)),x80603))+P1(f329(f329(f240(a104),x80603),f329(f256(a104,x80601),x80604))) % 166.45/166.22 [8506]~P1(f329(f329(f331(x85061),x85062),f329(f175(x85061),f119(x85061,x85064))))+P1(f329(f329(f331(x85061),x85062),f329(f175(x85061),f119(x85061,f329(f329(f137(x85061),x85063),x85064))))) % 166.45/166.22 [8507]~P1(f329(f329(f331(x85071),x85072),f329(f175(x85071),f119(x85071,x85073))))+P1(f329(f329(f331(x85071),x85072),f329(f175(x85071),f119(x85071,f329(f329(f137(x85071),x85073),x85074))))) % 166.45/166.22 [8526]E(f329(f329(f115(f913(x85261,a900)),f329(f329(f106(f913(x85261,a900)),x85262),x85263)),x85264),f329(f329(f106(f913(x85261,a900)),x85262),f329(f329(f115(f913(x85261,a900)),x85263),x85264)))+~P1(f329(f329(f239(f913(x85261,a900)),x85264),x85262)) % 166.45/166.22 [8836]~E(f329(f329(f115(f913(x88361,a900)),f329(f329(f106(f913(x88361,a900)),x88363),x88364)),x88362),f329(f329(f106(f913(x88361,a900)),x88363),f329(f329(f115(f913(x88361,a900)),x88364),x88362)))+P1(f329(f329(f239(f913(x88361,a900)),x88362),x88363)) % 166.45/166.22 [9123]~P1(f329(f329(f239(f913(x91231,a900)),x91232),f329(f329(f115(f913(x91231,a900)),x91233),x91234)))+P1(f329(f329(f239(f913(x91231,a900)),f329(f329(f23(f913(x91231,a900)),x91232),x91233)),x91234)) % 166.45/166.22 [9241]~E(f329(f312(x92411,x92412,x92413),f247(f913(x92411,a900))),f247(f913(x92412,a900)))+E(f329(f312(x92411,x92412,x92413),f329(f312(x92412,x92411,f94(x92411,x92412,f247(f913(x92411,a900)),x92413)),x92414)),x92414) % 166.45/166.22 [9249]P1(f329(f329(f239(f913(x92491,a900)),x92492),f329(f329(f115(f913(x92491,a900)),x92493),x92494)))+~P1(f329(f329(f239(f913(x92491,a900)),f329(f329(f23(f913(x92491,a900)),x92492),x92493)),x92494)) % 166.45/166.22 [9337]~P89(x93371)+E(f329(f77(x93371),f329(f329(f6(x93372,x93371),f329(f329(f8(x93371,x93371,x93372),f77(x93371)),x93373)),x93374)),f329(f329(f6(x93372,x93371),f329(f329(f8(x93371,x93371,x93372),f77(x93371)),x93373)),x93374)) % 166.45/166.22 [9506]~P89(x95061)+P1(f329(f329(f239(x95061),f2(x95061)),f329(f329(f6(x95062,x95061),f329(f329(f8(x95061,x95061,x95062),f77(x95061)),x95063)),x95064))) % 166.45/166.22 [9510]~P68(x95101)+E(f329(f168(x95101),f329(f329(f157(x95102,x95101),f329(f74(x95101,x95101,x95102,f81(x95101)),x95103)),x95104)),f329(f81(x95101),f329(f168(x95101),f329(f329(f157(x95102,x95101),x95103),x95104)))) % 166.45/166.22 [9651]~P89(x96511)+P1(f329(f329(f239(x96511),f329(f77(x96511),f329(f329(f6(x96512,x96511),x96513),x96514))),f329(f329(f6(x96512,x96511),f329(f329(f8(x96511,x96511,x96512),f77(x96511)),x96513)),x96514))) % 166.45/166.22 [9680]~E(f329(f329(f82(a905),x96801),x96804),f329(f329(f82(a905),x96803),x96802))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x96801),x96802)),f329(f329(f257(a905,a905),x96803),x96804))),a113)) % 166.45/166.22 [9681]~P1(f329(f329(f240(a905),x96811),x96813))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x96811),x96812)),f329(f329(f257(a905,a905),x96813),x96814))),a34)) % 166.45/166.22 [9682]~P1(f329(f329(f240(a905),x96821),x96823))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x96821),x96822)),f329(f329(f257(a905,a905),x96823),x96824))),a72)) % 166.45/166.22 [9831]E(f329(f329(f82(a905),x98311),x98312),f329(f329(f82(a905),x98313),x98314))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x98311),x98314)),f329(f329(f257(a905,a905),x98313),x98312))),a113)) % 166.45/166.22 [9861]E(f329(f329(f167(x98611),f329(f329(f141(x98611),f329(f192(f906(x98611)),f180(x98611,x98612,x98613))),x98613)),x98614),f329(f329(f167(x98611),x98613),f329(f329(f82(a905),x98614),f329(f192(f906(x98611)),f180(x98611,x98612,x98613)))))+~P1(f329(f329(f240(a905),x98614),f329(f192(f906(x98611)),f329(f329(f141(x98611),f329(f192(f906(x98611)),f180(x98611,x98612,x98613))),x98613)))) % 166.45/166.22 [9878]~P1(f329(f329(f331(x98782),x98784),f329(f329(f41(x98781,f913(x98782,a900)),f247(f913(x98781,a900))),x98783)))+P1(f329(f329(f329(f41(x98781,f913(x98782,a900)),f247(f913(x98781,a900))),f329(f329(f8(f913(x98782,a900),f913(x98782,a900),x98781),f329(f7(x98782,f913(x98782,a900),a900),f331(x98782))),x98783)),x98784)) % 166.45/166.22 [9879]~P1(f329(f329(f331(x98792),x98794),f329(f329(f42(x98791,f913(x98792,a900)),f247(f913(x98791,a900))),x98793)))+P1(f329(f329(f329(f42(x98791,f913(x98792,a900)),f247(f913(x98791,a900))),f329(f329(f8(f913(x98792,a900),f913(x98792,a900),x98791),f329(f7(x98792,f913(x98792,a900),a900),f331(x98792))),x98793)),x98794)) % 166.45/166.22 [9951]~P1(f329(f51(x99511,x99512),f329(f329(f257(a1,a1),x99514),x99513)))+P1(f329(f51(f329(f81(a1),x99511),x99512),f329(f329(f257(a1,a1),f329(f329(f329(f99(a1),f329(f329(a326,x99513),f2(a1))),f329(f81(a1),x99514)),f329(f329(f23(a1),f329(f81(a1),x99514)),f80(a1)))),f329(f329(f329(f99(a1),f329(f329(a326,x99513),f2(a1))),f2(a1)),f329(f329(f23(a1),x99512),x99513))))) % 166.45/166.22 [9961]P1(f329(f329(f331(x99611),x99612),f329(f329(f41(x99613,f913(x99611,a900)),f247(f913(x99613,a900))),x99614)))+~P1(f329(f329(f329(f41(x99613,f913(x99611,a900)),f247(f913(x99613,a900))),f329(f329(f8(f913(x99611,a900),f913(x99611,a900),x99613),f329(f7(x99611,f913(x99611,a900),a900),f331(x99611))),x99614)),x99612)) % 166.45/166.22 [9962]P1(f329(f329(f331(x99621),x99622),f329(f329(f42(x99623,f913(x99621,a900)),f247(f913(x99623,a900))),x99624)))+~P1(f329(f329(f329(f42(x99623,f913(x99621,a900)),f247(f913(x99623,a900))),f329(f329(f8(f913(x99621,a900),f913(x99621,a900),x99623),f329(f7(x99621,f913(x99621,a900),a900),f331(x99621))),x99624)),x99622)) % 166.45/166.22 [9974]E(f329(f329(f41(a905,f913(x99741,a900)),f247(f913(a905,a900))),x99742),f329(f329(f41(a905,f913(x99741,a900)),f247(f913(a905,a900))),x99743))+~E(f329(f329(f41(a905,f913(x99741,a900)),f329(f304(a905,f2(a905)),f437(x99742,x99744,x99743,x99741))),x99743),f329(f329(f41(a905,f913(x99741,a900)),f329(f304(a905,f2(a905)),f329(f329(f82(a905),f437(x99742,x99744,x99743,x99741)),x99744))),x99742)) % 166.45/166.22 [10305]~P1(f329(f329(f239(f913(f912(x103051,x103052),a900)),x103053),x103054))+P1(f329(f329(f239(f913(x103051,f913(x103052,a900))),f329(f329(f7(x103051,f913(f912(x103051,x103052),a900),f913(x103052,a900)),f329(f329(f8(f913(x103052,f913(f913(f912(x103051,x103052),a900),a900)),f913(f913(f912(x103051,x103052),a900),f913(x103052,a900)),x103051),f7(x103052,f913(f912(x103051,x103052),a900),a900)),f329(f329(f8(f913(x103052,f912(x103051,x103052)),f913(x103052,f913(f913(f912(x103051,x103052),a900),a900)),x103051),f329(f8(f912(x103051,x103052),f913(f913(f912(x103051,x103052),a900),a900),x103052),f331(f912(x103051,x103052)))),f257(x103051,x103052)))),x103053)),f329(f329(f7(x103051,f913(f912(x103051,x103052),a900),f913(x103052,a900)),f329(f329(f8(f913(x103052,f913(f913(f912(x103051,x103052),a900),a900)),f913(f913(f912(x103051,x103052),a900),f913(x103052,a900)),x103051),f7(x103052,f913(f912(x103051,x103052),a900),a900)),f329(f329(f8(f913(x103052,f912(x103051,x103052)),f913(x103052,f913(f913(f912(x103051,x103052),a900),a900)),x103051),f329(f8(f912(x103051,x103052),f913(f913(f912(x103051,x103052),a900),a900),x103052),f331(f912(x103051,x103052)))),f257(x103051,x103052)))),x103054))) % 166.45/166.22 [10322]P1(f329(f329(f239(f913(f912(x103221,x103222),a900)),x103223),x103224))+~P1(f329(f329(f239(f913(x103221,f913(x103222,a900))),f329(f329(f7(x103221,f913(f912(x103221,x103222),a900),f913(x103222,a900)),f329(f329(f8(f913(x103222,f913(f913(f912(x103221,x103222),a900),a900)),f913(f913(f912(x103221,x103222),a900),f913(x103222,a900)),x103221),f7(x103222,f913(f912(x103221,x103222),a900),a900)),f329(f329(f8(f913(x103222,f912(x103221,x103222)),f913(x103222,f913(f913(f912(x103221,x103222),a900),a900)),x103221),f329(f8(f912(x103221,x103222),f913(f913(f912(x103221,x103222),a900),a900),x103222),f331(f912(x103221,x103222)))),f257(x103221,x103222)))),x103223)),f329(f329(f7(x103221,f913(f912(x103221,x103222),a900),f913(x103222,a900)),f329(f329(f8(f913(x103222,f913(f913(f912(x103221,x103222),a900),a900)),f913(f913(f912(x103221,x103222),a900),f913(x103222,a900)),x103221),f7(x103222,f913(f912(x103221,x103222),a900),a900)),f329(f329(f8(f913(x103222,f912(x103221,x103222)),f913(x103222,f913(f913(f912(x103221,x103222),a900),a900)),x103221),f329(f8(f912(x103221,x103222),f913(f913(f912(x103221,x103222),a900),a900),x103222),f331(f912(x103221,x103222)))),f257(x103221,x103222)))),x103224))) % 166.45/166.22 [9382]~P1(f329(f329(f331(f912(x93821,x93821)),x93822),f309(x93821,x93824)))+P1(f329(f329(f331(f912(x93821,x93821)),x93822),f309(x93821,f329(f329(f115(f913(f912(x93821,x93821),a900)),x93823),x93824)))) % 166.45/166.22 [9383]~P1(f329(f329(f331(f912(x93831,x93831)),x93832),f309(x93831,x93833)))+P1(f329(f329(f331(f912(x93831,x93831)),x93832),f309(x93831,f329(f329(f115(f913(f912(x93831,x93831),a900)),x93833),x93834)))) % 166.45/166.22 [10058]~P1(f329(f329(f239(a905),f329(f329(f82(a905),x100581),x100584)),f329(f329(f82(a905),x100583),x100582)))+P1(f329(f329(f239(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x100581),x100582)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x100583),x100584)),f191(f913(f912(a905,a905),a900))))))) % 166.45/166.22 [10059]~P1(f329(f329(f240(a905),f329(f329(f82(a905),x100591),x100594)),f329(f329(f82(a905),x100593),x100592)))+P1(f329(f329(f240(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x100591),x100592)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x100593),x100594)),f191(f913(f912(a905,a905),a900))))))) % 166.45/166.22 [10136]P1(f329(f329(f239(a905),f329(f329(f82(a905),x101361),x101362)),f329(f329(f82(a905),x101363),x101364)))+~P1(f329(f329(f239(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x101361),x101364)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x101363),x101362)),f191(f913(f912(a905,a905),a900))))))) % 166.45/166.22 [10137]P1(f329(f329(f240(a905),f329(f329(f82(a905),x101371),x101372)),f329(f329(f82(a905),x101373),x101374)))+~P1(f329(f329(f240(a1),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x101371),x101374)),f191(f913(f912(a905,a905),a900)))))),f329(a91,f329(f288(f912(a905,a905),f912(a905,a905),a113),f329(f329(f311(f912(a905,a905)),f329(f329(f257(a905,a905),x101373),x101372)),f191(f913(f912(a905,a905),a900))))))) % 166.45/166.22 [10178]P1(f329(f329(f239(f913(x101781,a900)),f329(f329(f41(a905,f913(x101781,a900)),f247(f913(a905,a900))),x101782)),f329(f329(f41(a905,f913(x101781,a900)),f247(f913(a905,a900))),x101783)))+~P1(f329(f329(f239(f913(x101781,a900)),f329(f329(f41(a905,f913(x101781,a900)),f329(f304(a905,f2(a905)),f436(x101783,x101784,x101782,x101781))),x101782)),f329(f329(f41(a905,f913(x101781,a900)),f329(f304(a905,f2(a905)),f329(f329(f82(a905),f436(x101783,x101784,x101782,x101781)),x101784))),x101783))) % 166.45/166.22 [10239]P1(f329(f329(f239(a104),x102394),f2(a104)))+E(f329(f329(f264(f912(a104,a104),f912(x102391,f913(a908,a325)),f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104))),f329(x102392,x102393)),f329(f329(f8(f913(f913(a104,f913(a900,f909(f907(x102391)))),f913(f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104)))),f913(f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104))),f912(x102391,f913(a908,a325))),f329(f264(f912(a104,a104),f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104))),f280(x102391,x102392,f329(f329(f23(a104),x102394),f80(a104)),x102393))),f329(f329(f8(f913(f913(a104,f913(a900,f909(f907(x102391)))),f913(a104,f913(a900,f909(f907(x102391))))),f913(f913(a104,f913(a900,f909(f907(x102391)))),f913(f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104)))),f912(x102391,f913(a908,a325))),f329(f8(f913(a104,f913(a900,f909(f907(x102391)))),f913(f912(a104,a104),f912(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104))),f913(a104,f913(a900,f909(f907(x102391))))),f257(f913(a104,f913(a900,f909(f907(x102391)))),f912(a104,a104)))),f329(f329(f8(f913(a104,f913(a900,f909(f907(x102391)))),f913(f913(a104,f913(a900,f909(f907(x102391)))),f913(a104,f913(a900,f909(f907(x102391))))),f912(x102391,f913(a908,a325))),f46(x102391)),f329(f329(f8(x102391,f913(a104,f913(a900,f909(f907(x102391)))),f912(x102391,f913(a908,a325))),f44(x102391)),f256(x102391,f913(a908,a325))))))),f280(x102391,x102392,x102394,x102393)) % 166.45/166.22 [10295]~P1(f329(f329(f331(x102952),x102954),f329(f287(x102951,x102952),x102953)))+P1(f329(f255(x102951,x102952,f329(f329(f7(x102951,f913(f912(x102951,x102952),a900),f913(x102952,a900)),f329(f329(f8(f913(x102952,f913(f913(f912(x102951,x102952),a900),a900)),f913(f913(f912(x102951,x102952),a900),f913(x102952,a900)),x102951),f7(x102952,f913(f912(x102951,x102952),a900),a900)),f329(f329(f8(f913(x102952,f912(x102951,x102952)),f913(x102952,f913(f913(f912(x102951,x102952),a900),a900)),x102951),f329(f8(f912(x102951,x102952),f913(f913(f912(x102951,x102952),a900),a900),x102952),f331(f912(x102951,x102952)))),f257(x102951,x102952)))),x102953)),x102954)) % 166.45/166.22 [10296]~P1(f329(f329(f331(x102961),x102964),f329(f269(x102961,x102962),x102963)))+P1(f329(f254(x102961,x102962,f329(f329(f7(x102961,f913(f912(x102961,x102962),a900),f913(x102962,a900)),f329(f329(f8(f913(x102962,f913(f913(f912(x102961,x102962),a900),a900)),f913(f913(f912(x102961,x102962),a900),f913(x102962,a900)),x102961),f7(x102962,f913(f912(x102961,x102962),a900),a900)),f329(f329(f8(f913(x102962,f912(x102961,x102962)),f913(x102962,f913(f913(f912(x102961,x102962),a900),a900)),x102961),f329(f8(f912(x102961,x102962),f913(f913(f912(x102961,x102962),a900),a900),x102962),f331(f912(x102961,x102962)))),f257(x102961,x102962)))),x102963)),x102964)) % 166.45/166.22 [10308]P1(f329(f329(f331(x103081),x103082),f329(f287(x103083,x103081),x103084)))+~P1(f329(f255(x103083,x103081,f329(f329(f7(x103083,f913(f912(x103083,x103081),a900),f913(x103081,a900)),f329(f329(f8(f913(x103081,f913(f913(f912(x103083,x103081),a900),a900)),f913(f913(f912(x103083,x103081),a900),f913(x103081,a900)),x103083),f7(x103081,f913(f912(x103083,x103081),a900),a900)),f329(f329(f8(f913(x103081,f912(x103083,x103081)),f913(x103081,f913(f913(f912(x103083,x103081),a900),a900)),x103083),f329(f8(f912(x103083,x103081),f913(f913(f912(x103083,x103081),a900),a900),x103081),f331(f912(x103083,x103081)))),f257(x103083,x103081)))),x103084)),x103082)) % 166.45/166.22 [10309]P1(f329(f329(f331(x103091),x103092),f329(f269(x103091,x103093),x103094)))+~P1(f329(f254(x103091,x103093,f329(f329(f7(x103091,f913(f912(x103091,x103093),a900),f913(x103093,a900)),f329(f329(f8(f913(x103093,f913(f913(f912(x103091,x103093),a900),a900)),f913(f913(f912(x103091,x103093),a900),f913(x103093,a900)),x103091),f7(x103093,f913(f912(x103091,x103093),a900),a900)),f329(f329(f8(f913(x103093,f912(x103091,x103093)),f913(x103093,f913(f913(f912(x103091,x103093),a900),a900)),x103091),f329(f8(f912(x103091,x103093),f913(f913(f912(x103091,x103093),a900),a900),x103093),f331(f912(x103091,x103093)))),f257(x103091,x103093)))),x103094)),x103092)) % 166.45/166.22 [9983]P1(f329(f163(x99831,x99832),x99833))+~P1(f329(f163(x99831,f329(f329(f18(x99831,a900,a900),f329(f329(f8(a900,f913(a900,a900),x99831),a327),x99834)),x99832)),x99833)) % 166.45/166.22 [9984]P1(f329(f163(x99841,x99842),x99843))+~P1(f329(f163(x99841,f329(f329(f18(x99841,a900,a900),f329(f329(f8(a900,f913(a900,a900),x99841),a327),x99842)),x99844)),x99843)) % 166.45/166.22 [10060]~P118(x100601)+E(f329(f329(f83(x100601),f329(f329(f82(x100601),f80(x100601)),f80(x100601))),f329(f329(f6(a905,x100601),f329(f329(f8(x100601,x100601,a905),f329(f82(x100601),x100602)),f329(f329(f7(a905,x100601,x100601),f329(f329(f8(x100601,f913(x100601,x100601),a905),f83(x100601)),f105(x100601))),x100603))),f329(f285(a905),x100604))),f329(f329(f83(x100601),f329(f105(x100601),x100604)),f329(f329(f82(x100601),x100602),f329(f329(f82(x100601),x100602),f329(f329(f83(x100601),f329(f105(x100601),f329(f329(f23(a905),x100604),f80(a905)))),x100603))))) % 166.45/166.22 [10199]P1(f329(x101991,f539(x101992,x101993,x101994,x101991)))+P37(x101992,f329(f267(f912(x101992,x101992)),f329(f262(x101992,x101992,a900),f329(f329(f8(f913(x101992,a900),f913(x101992,a900),x101992),f329(f18(x101992,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101992),a327),x101991))),f329(f329(f7(x101992,f913(x101992,x101992),f913(x101992,a900)),f329(f329(f8(f913(x101992,a900),f913(f913(x101992,x101992),f913(x101992,a900)),x101992),f8(x101992,a900,x101992)),a326)),x101993))))) % 166.45/166.22 [10217]~P1(f329(f329(f240(a905),f329(x102174,f329(x102173,f539(x102171,x102173,x102174,x102172)))),f329(x102174,f539(x102171,x102173,x102174,x102172))))+P37(x102171,f329(f267(f912(x102171,x102171)),f329(f262(x102171,x102171,a900),f329(f329(f8(f913(x102171,a900),f913(x102171,a900),x102171),f329(f18(x102171,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102171),a327),x102172))),f329(f329(f7(x102171,f913(x102171,x102171),f913(x102171,a900)),f329(f329(f8(f913(x102171,a900),f913(f913(x102171,x102171),f913(x102171,a900)),x102171),f8(x102171,a900,x102171)),a326)),x102173))))) % 166.45/166.22 [10281]~P4(x102811)+E(f40(x102811,f329(f267(x102811),f329(f329(f8(f913(f913(x102812,x102811),a900),a900,x102811),f89(f913(x102812,x102811))),f329(f329(f8(f913(f913(x102812,x102811),a900),f913(f913(x102812,x102811),a900),x102811),f329(f18(f913(x102812,x102811),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x102812,x102811)),a327),f329(f329(f7(f913(x102812,x102811),f913(f913(x102812,x102811),a900),a900),f331(f913(x102812,x102811))),x102813)))),f329(f329(f7(x102811,f913(f913(x102812,x102811),x102811),f913(f913(x102812,x102811),a900)),f329(f329(f8(f913(x102811,a900),f913(f913(f913(x102812,x102811),x102811),f913(f913(x102812,x102811),a900)),x102811),f8(x102811,a900,f913(x102812,x102811))),a326)),f329(f329(f7(f913(x102812,x102811),x102812,x102811),f5(f913(x102812,x102811))),x102814)))))),f329(f40(f913(x102812,x102811),x102813),x102814)) % 166.45/166.22 [10282]~P4(x102821)+E(f40(x102821,f329(f267(x102821),f329(f329(f8(f913(f913(x102822,x102821),a900),a900,x102821),f89(f913(x102822,x102821))),f329(f329(f8(f913(f913(x102822,x102821),a900),f913(f913(x102822,x102821),a900),x102821),f329(f18(f913(x102822,x102821),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x102822,x102821)),a327),f329(f329(f7(f913(x102822,x102821),f913(f913(x102822,x102821),a900),a900),f331(f913(x102822,x102821))),x102823)))),f329(f329(f7(x102821,f913(f913(x102822,x102821),x102821),f913(f913(x102822,x102821),a900)),f329(f329(f8(f913(x102821,a900),f913(f913(f913(x102822,x102821),x102821),f913(f913(x102822,x102821),a900)),x102821),f8(x102821,a900,f913(x102822,x102821))),a326)),f329(f329(f7(f913(x102822,x102821),x102822,x102821),f5(f913(x102822,x102821))),x102824)))))),f329(f40(f913(x102822,x102821),x102823),x102824)) % 166.45/166.22 [10283]~P4(x102831)+E(f39(x102831,f329(f267(x102831),f329(f329(f8(f913(f913(x102832,x102831),a900),a900,x102831),f89(f913(x102832,x102831))),f329(f329(f8(f913(f913(x102832,x102831),a900),f913(f913(x102832,x102831),a900),x102831),f329(f18(f913(x102832,x102831),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x102832,x102831)),a327),f329(f329(f7(f913(x102832,x102831),f913(f913(x102832,x102831),a900),a900),f331(f913(x102832,x102831))),x102833)))),f329(f329(f7(x102831,f913(f913(x102832,x102831),x102831),f913(f913(x102832,x102831),a900)),f329(f329(f8(f913(x102831,a900),f913(f913(f913(x102832,x102831),x102831),f913(f913(x102832,x102831),a900)),x102831),f8(x102831,a900,f913(x102832,x102831))),a326)),f329(f329(f7(f913(x102832,x102831),x102832,x102831),f5(f913(x102832,x102831))),x102834)))))),f329(f39(f913(x102832,x102831),x102833),x102834)) % 166.45/166.22 [10284]~P4(x102841)+E(f39(x102841,f329(f267(x102841),f329(f329(f8(f913(f913(x102842,x102841),a900),a900,x102841),f89(f913(x102842,x102841))),f329(f329(f8(f913(f913(x102842,x102841),a900),f913(f913(x102842,x102841),a900),x102841),f329(f18(f913(x102842,x102841),a900,a900),f329(f329(f8(a900,f913(a900,a900),f913(x102842,x102841)),a327),f329(f329(f7(f913(x102842,x102841),f913(f913(x102842,x102841),a900),a900),f331(f913(x102842,x102841))),x102843)))),f329(f329(f7(x102841,f913(f913(x102842,x102841),x102841),f913(f913(x102842,x102841),a900)),f329(f329(f8(f913(x102841,a900),f913(f913(f913(x102842,x102841),x102841),f913(f913(x102842,x102841),a900)),x102841),f8(x102841,a900,f913(x102842,x102841))),a326)),f329(f329(f7(f913(x102842,x102841),x102842,x102841),f5(f913(x102842,x102841))),x102844)))))),f329(f39(f913(x102842,x102841),x102843),x102844)) % 166.45/166.22 [10338]~P1(f329(f329(f331(f912(x103381,x103381)),f329(f329(f257(x103381,x103381),x103383),x103384)),f329(f329(f115(f913(f912(x103381,x103381),a900)),x103382),f309(x103381,f191(f913(f912(x103381,x103381),a900))))))+P1(f329(f329(f329(f329(f115(f913(x103381,f913(x103381,a900))),f329(f329(f7(x103381,f913(f912(x103381,x103381),a900),f913(x103381,a900)),f329(f329(f8(f913(x103381,f913(f913(f912(x103381,x103381),a900),a900)),f913(f913(f912(x103381,x103381),a900),f913(x103381,a900)),x103381),f7(x103381,f913(f912(x103381,x103381),a900),a900)),f329(f329(f8(f913(x103381,f912(x103381,x103381)),f913(x103381,f913(f913(f912(x103381,x103381),a900),a900)),x103381),f329(f8(f912(x103381,x103381),f913(f913(f912(x103381,x103381),a900),a900),x103381),f331(f912(x103381,x103381)))),f257(x103381,x103381)))),x103382)),a326),x103383),x103384)) % 166.45/166.22 [10348]P1(f329(f329(f331(f912(x103481,x103481)),f329(f329(f257(x103481,x103481),x103482),x103483)),f329(f329(f115(f913(f912(x103481,x103481),a900)),x103484),f309(x103481,f191(f913(f912(x103481,x103481),a900))))))+~P1(f329(f329(f329(f329(f115(f913(x103481,f913(x103481,a900))),f329(f329(f7(x103481,f913(f912(x103481,x103481),a900),f913(x103481,a900)),f329(f329(f8(f913(x103481,f913(f913(f912(x103481,x103481),a900),a900)),f913(f913(f912(x103481,x103481),a900),f913(x103481,a900)),x103481),f7(x103481,f913(f912(x103481,x103481),a900),a900)),f329(f329(f8(f913(x103481,f912(x103481,x103481)),f913(x103481,f913(f913(f912(x103481,x103481),a900),a900)),x103481),f329(f8(f912(x103481,x103481),f913(f913(f912(x103481,x103481),a900),a900),x103481),f331(f912(x103481,x103481)))),f257(x103481,x103481)))),x103484)),a326),x103482),x103483)) % 166.45/166.22 [10292]E(f329(f329(f154(f906(x102921)),f329(f329(f154(x102921),x102922),f329(f145(f906(x102921),f906(x102921),f137(x102921),f118(x102921)),f329(f329(f157(f906(x102921),f906(x102921)),f159(f906(x102921),x102921,f118(x102921),f329(f329(f8(f906(x102921),f913(f906(x102921),f906(x102921)),x102921),f16(f906(x102921),f906(x102921))),f329(f329(f7(x102921,f906(x102921),f906(x102921)),f154(x102921)),f118(x102921))))),x102923)))),f182(x102921,f329(f329(f154(f906(x102921)),x102924),f329(f145(f906(f906(x102921)),f906(f906(x102921)),f137(f906(x102921)),f118(f906(x102921))),f329(f329(f157(f906(x102921),f906(f906(x102921))),f159(f906(f906(x102921)),x102921,f118(f906(x102921)),f329(f16(f913(f906(x102921),f906(f906(x102921))),x102921),f329(f329(f7(f906(x102921),f906(f906(x102921)),f906(f906(x102921))),f154(f906(x102921))),f118(f906(x102921)))))),x102923))))),f182(x102921,f329(f329(f154(f906(x102921)),f329(f329(f154(x102921),x102922),x102924)),x102923)))+~P1(f329(f317(f906(f906(x102921)),f183(x102921)),f329(f329(f154(f906(x102921)),f329(f329(f154(x102921),x102922),x102924)),x102923))) % 166.45/166.22 [10337]~P1(f329(f63(x103372),f329(f267(x103372),x103374)))+P1(f329(f63(x103371),f329(f267(x103371),f329(f329(f8(f913(x103372,a900),a900,x103371),f89(x103372)),f329(f329(f7(x103371,f913(x103372,a900),f913(x103372,a900)),f329(f329(f8(f913(x103372,f913(a900,a900)),f913(f913(x103372,a900),f913(x103372,a900)),x103371),f18(x103372,a900,a900)),f329(f329(f8(f913(x103372,a900),f913(x103372,f913(a900,a900)),x103371),f329(f8(a900,f913(a900,a900),x103372),a327)),f329(f329(f7(x103371,f913(x103372,x103371),f913(x103372,a900)),f329(f329(f8(f913(x103371,a900),f913(f913(x103372,x103371),f913(x103372,a900)),x103371),f8(x103371,a900,x103372)),a326)),x103373)))),x103374))))) % 166.45/166.22 [5365]E(x53651,x53652)+~E(f172(x53653,x53651,x53654),f172(x53653,x53652,x53655)) % 166.45/166.22 [5366]E(x53661,x53662)+~E(f130(x53663,x53664,x53661),f130(x53663,x53665,x53662)) % 166.45/166.22 [5367]E(x53671,x53672)+~E(f130(x53673,x53671,x53674),f130(x53673,x53672,x53675)) % 166.45/166.22 [8202]~E(f329(x82023,x82024),x82025)+E(f76(x82021,x82022,x82023,x82024,x82025),x82023) % 166.45/166.22 [8740]~E(f76(x87404,x87405,x87401,x87402,x87403),x87401)+E(f329(x87401,x87402),x87403) % 166.45/166.22 [9246]~P42(f32(x92461,x92465),x92462,x92463,x92464)+P42(x92461,x92462,x92463,f541(x92464,x92463,x92462,x92465,x92461)) % 166.45/166.22 [9247]~P42(f32(x92475,x92471),x92474,x92473,x92472)+P42(x92471,f541(x92472,x92473,x92474,x92471,x92475),x92473,x92472) % 166.45/166.22 [9353]~P25(x93532,x93531,x93534,x93533,x93535)+P25(x93531,x93532,f94(x93532,x93531,x93533,x93534),x93535,x93533) % 166.45/166.22 [6165]P1(f329(f255(x61651,x61652,x61653),x61654))+~P1(f329(f329(x61653,x61655),x61654)) % 166.45/166.22 [6167]P1(f329(f254(x61671,x61672,x61673),x61674))+~P1(f329(f329(x61673,x61674),x61675)) % 166.45/166.22 [6641]~E(x66415,f2(a104))+E(f329(f200(x66411,x66412,x66413,x66414),x66415),f128(x66412)) % 166.45/166.22 [6642]~E(x66425,f2(a104))+E(f329(f202(x66421,x66422,x66423,x66424),x66425),f120(x66422)) % 166.45/166.22 [6780]~E(x67803,f2(a104))+E(f329(f276(x67801,x67802,x67803,x67804),x67805),f329(f257(x67801,x67802),x67805)) % 166.45/166.22 [7834]~P19(x78344,x78341,x78342,x78345)+E(f329(f74(x78341,x78341,x78341,f329(x78342,x78343)),f329(x78342,x78343)),f329(x78342,x78343)) % 166.45/166.22 [8242]~P15(x82425,x82421,x82422)+E(f329(f74(x82421,x82421,x82421,f329(x82422,x82423)),f329(x82422,x82424)),f329(f74(x82421,x82421,x82421,f329(x82422,x82424)),f329(x82422,x82423))) % 166.45/166.22 [8569]P1(f329(f329(f331(f912(x85691,x85691)),f329(f329(f257(x85691,x85691),x85692),x85693)),f323(x85691,x85694,x85695)))+~P1(f329(f329(f240(a905),f329(x85694,x85692)),f329(x85694,x85693))) % 166.45/166.22 [8671]~P1(f329(f329(f331(x86714),x86713),f301(x86714,x86711,x86712,x86715)))+P1(f329(f329(x86711,x86712),x86713)) % 166.45/166.22 [8672]~P1(f329(f329(f331(x86724),x86723),f298(x86724,x86721,x86722,x86725)))+P1(f329(f329(x86721,x86722),x86723)) % 166.45/166.22 [8673]~P1(f329(f329(f331(x86734),x86732),f301(x86734,x86731,x86735,x86733)))+P1(f329(f329(x86731,x86732),x86733)) % 166.45/166.22 [8674]~P1(f329(f329(f331(x86744),x86742),f298(x86744,x86741,x86745,x86743)))+P1(f329(f329(x86741,x86742),x86743)) % 166.45/166.22 [8813]~P59(x88132,x88131,x88135,x88133,x88134)+E(f329(f312(x88131,x88132,x88133),x88134),f247(f913(x88132,a900))) % 166.45/166.22 [9264]~P34(x92641,x92642,x92643,x92644,x92645)+P34(x92641,x92642,x92643,f329(f171(x92641),x92644),f329(f171(x92642),x92645)) % 166.45/166.22 [9266]~P34(x92661,x92662,x92663,f329(f171(x92661),x92664),x92665)+P34(x92661,x92662,x92663,x92664,f329(f171(x92662),x92665)) % 166.45/166.22 [9267]~P34(x92671,x92672,x92673,x92674,f329(f171(x92672),x92675))+P34(x92671,x92672,x92673,f329(f171(x92671),x92674),x92675) % 166.45/166.22 [9273]P34(x92731,x92732,x92733,x92734,x92735)+~P34(x92731,x92732,x92733,f329(f171(x92731),x92734),f329(f171(x92732),x92735)) % 166.45/166.22 [9670]P1(f329(f329(f331(f912(f906(x96701),f906(x96701))),f329(f329(f257(f906(x96701),f906(x96701)),f329(f329(f154(x96701),x96702),x96703)),f329(f329(f154(x96701),x96702),x96704))),f160(x96701,x96705)))+~P1(f329(f329(f331(f912(f906(x96701),f906(x96701))),f329(f329(f257(f906(x96701),f906(x96701)),x96703),x96704)),f160(x96701,x96705))) % 166.45/166.22 [9671]P1(f329(f329(f331(f912(f906(x96711),f906(x96711))),f329(f329(f257(f906(x96711),f906(x96711)),f329(f329(f137(x96711),x96712),x96713)),f329(f329(f137(x96711),x96712),x96714))),f150(x96711,x96715)))+~P1(f329(f329(f331(f912(f906(x96711),f906(x96711))),f329(f329(f257(f906(x96711),f906(x96711)),x96713),x96714)),f150(x96711,x96715))) % 166.45/166.22 [9868]E(f329(f329(f154(x98681),f673(x98682,x98683,x98684,x98685,x98681)),f677(x98682,x98683,x98684,x98685,x98681)),x98685)+~P1(f329(f329(f331(f912(f906(x98681),f906(x98681))),f329(f329(f257(f906(x98681),f906(x98681)),x98685),f329(f329(f154(x98681),x98684),x98683))),f161(x98681,x98682))) % 166.45/166.22 [9890]E(f329(f329(f154(x98901),f674(x98902,x98903,x98904,x98905,x98901)),f676(x98902,x98903,x98904,x98905,x98901)),x98903)+~P1(f329(f329(f331(f912(f906(x98901),f906(x98901))),f329(f329(f257(f906(x98901),f906(x98901)),f329(f329(f154(x98901),x98905),x98904)),x98903)),f161(x98901,x98902))) % 166.45/166.22 [10034]~P1(f329(f329(f331(f912(f906(x100341),f906(x100341))),f329(f329(f257(f906(x100341),f906(x100341)),f329(f329(f154(x100341),x100345),x100342)),x100344)),f161(x100341,x100343)))+P1(f329(f329(f331(f912(f906(x100341),f906(x100341))),f329(f329(f257(f906(x100341),f906(x100341)),x100342),f676(x100343,x100344,x100342,x100345,x100341))),f161(x100341,x100343))) % 166.45/166.22 [10103]~P1(f329(f329(f331(f912(f906(x101031),f906(x101031))),f329(f329(f257(f906(x101031),f906(x101031)),x101035),f329(f329(f154(x101031),x101034),x101033))),f161(x101031,x101032)))+P1(f329(f329(f331(f912(f906(x101031),f906(x101031))),f329(f329(f257(f906(x101031),f906(x101031)),f677(x101032,x101033,x101034,x101035,x101031)),x101033)),f161(x101031,x101032))) % 166.45/166.22 [10286]P1(f329(f329(f331(f912(x102861,x102861)),f329(f329(f257(x102861,x102861),f329(x102862,f329(f329(f82(a905),x102863),x102864))),f329(x102862,x102863))),f309(x102861,x102865)))+~P1(f329(f329(f331(f912(x102861,x102861)),f329(f329(f257(x102861,x102861),f329(x102862,f329(a117,f598(x102864,x102863,x102865,x102862,x102861)))),f329(x102862,f598(x102864,x102863,x102865,x102862,x102861)))),f309(x102861,x102865))) % 166.45/166.22 [5333]E(x53331,x53332)+~E(f329(f329(f154(x53333),x53334),x53331),f329(f329(f154(x53333),x53335),x53332)) % 166.45/166.22 [5334]E(x53341,x53342)+~E(f329(f329(f154(x53343),x53341),x53344),f329(f329(f154(x53343),x53342),x53345)) % 166.45/166.22 [5382]P1(f329(x53821,x53822))+~E(f329(f139(x53823,x53821),x53824),f329(f329(f154(x53823),x53822),x53825)) % 166.45/166.22 [5383]P1(f329(x53831,x53832))+~E(f329(f329(f154(x53833),x53832),x53834),f329(f139(x53833,x53831),x53835)) % 166.45/166.22 [5538]~E(f329(f329(f141(x55381),x55383),x55382),f329(f329(f154(x55381),x55384),x55385))+E(f329(f329(f167(x55381),x55382),x55383),x55384) % 166.45/166.22 [5676]~P13(x56764,x56765,x56761)+E(f329(f329(x56761,x56762),f329(f329(x56761,x56762),x56763)),f329(f329(x56761,x56762),x56763)) % 166.45/166.22 [6223]~E(x62234,f2(a104))+E(f329(f329(f122(x62231,x62232,x62233),x62234),x62235),f329(f329(f257(f906(x62232),x62231),f118(x62232)),x62235)) % 166.45/166.22 [6292]~P105(x62922)+~E(f329(f329(f151(x62921,x62922,x62923),x62924),x62925),f118(x62921)) % 166.45/166.22 [6681]E(x66811,x66812)+~E(f329(f329(f137(x66813),x66814),f329(f329(f154(x66813),x66811),f118(x66813))),f329(f329(f137(x66813),x66815),f329(f329(f154(x66813),x66812),f118(x66813)))) % 166.45/166.22 [6682]E(x66821,x66822)+~E(f329(f329(f137(x66823),x66821),f329(f329(f154(x66823),x66824),f118(x66823))),f329(f329(f137(x66823),x66822),f329(f329(f154(x66823),x66825),f118(x66823)))) % 166.45/166.22 [6993]E(f329(f329(f311(x69931),f329(x69932,x69933)),f329(f312(x69934,x69931,x69932),x69935)),f329(f312(x69934,x69931,x69932),x69935))+~P1(f329(f329(f331(x69934),x69933),x69935)) % 166.45/166.22 [7000]~P1(f329(x70004,f329(x70003,x70005)))+P1(f329(f329(f313(x70001,x70002,x70003),x70004),x70005)) % 166.45/166.22 [7003]~P1(f329(f329(x70033,x70035),x70034))+P1(f329(f329(f248(x70031,x70032,x70033),x70034),x70035)) % 166.45/166.22 [7098]~E(f329(f312(x70981,x70982,x70983),x70984),x70985)+E(f329(f312(f913(x70981,a900),f913(x70982,a900),f312(x70981,x70982,x70983)),f329(f310(x70981),x70984)),f329(f310(x70982),x70985)) % 166.45/166.22 [7440]P24(x74401,x74402,x74403,x74404)+~P24(x74401,x74402,x74403,f329(f329(f311(x74401),x74405),x74404)) % 166.45/166.22 [7505]P1(f329(x75051,x75052))+~P1(f329(f329(f95(x75053,x75054,x75051),x75055),x75052)) % 166.45/166.22 [7552]~P1(f329(f329(f331(x75524),x75523),x75525))+P1(f329(f329(f331(x75521),f329(x75522,x75523)),f329(f312(x75524,x75521,x75522),x75525))) % 166.45/166.22 [7574]~P105(x75742)+E(f153(x75741,x75742,x75743,f329(f139(x75741,x75744),x75745)),f329(f139(x75741,x75744),f153(x75741,x75742,x75743,x75745))) % 166.45/166.22 [7605]P1(f329(x76051,f329(x76052,x76053)))+~P1(f329(f329(f313(x76054,x76055,x76052),x76051),x76053)) % 166.45/166.22 [7608]P1(f329(f329(x76081,x76082),x76083))+~P1(f329(f329(f248(x76084,x76085,x76081),x76083),x76082)) % 166.45/166.22 [7609]P1(f329(f329(x76091,x76092),x76093))+~P1(f329(f329(f95(x76094,x76091,x76095),x76092),x76093)) % 166.45/166.22 [7670]~P1(f329(f329(f331(x76703),f329(x76704,x76702)),x76705))+P1(f329(f329(f331(x76701),x76702),f329(f313(x76701,x76703,x76704),x76705))) % 166.45/166.22 [8073]~P1(f329(f329(f331(x80735),x80733),f329(f313(x80735,x80731,x80732),x80734)))+P1(f329(f329(f331(x80731),f329(x80732,x80733)),x80734)) % 166.45/166.22 [8380]~P15(x83802,x83801,x83803)+E(f329(f145(x83801,x83802,f329(f7(x83802,x83801,x83801),x83803),x83804),f155(x83802,x83805)),f329(f329(f66(x83802,x83801,x83803),x83804),f329(f175(x83802),x83805))) % 166.45/166.22 [8402]E(f329(x84021,f394(x84022,x84021,x84023,x84024)),x84024)+~P1(f329(f329(f331(x84025),x84024),f329(f312(x84023,x84025,x84021),x84022))) % 166.45/166.22 [8403]E(f329(x84031,f500(x84032,x84031,x84033,x84034)),x84034)+~P1(f329(f329(f331(x84035),x84034),f329(f312(x84033,x84035,x84031),x84032))) % 166.45/166.22 [8717]~E(x87172,f329(f329(f154(x87171),x87174),x87175))+P1(f329(f329(f331(f912(f906(x87171),f906(x87171))),f329(f329(f257(f906(x87171),f906(x87171)),f118(x87171)),x87172)),f150(x87171,x87173))) % 166.45/166.22 [8760]E(f329(x87601,f329(f94(x87602,x87603,x87604,x87601),x87605)),x87605)+~P1(f329(f329(f331(x87603),x87605),f329(f312(x87602,x87603,x87601),x87604))) % 166.45/166.22 [8763]P24(x87631,x87632,f94(x87632,x87631,x87633,x87634),x87635)+~P1(f329(f329(f239(f913(x87631,a900)),x87635),f329(f312(x87632,x87631,x87634),x87633))) % 166.45/166.22 [8770]~P34(x87701,x87703,x87705,x87702,x87704)+E(f329(f192(f906(x87701)),x87702),f329(f192(f906(x87703)),x87704)) % 166.45/166.22 [8781]P1(f329(f329(f239(f913(x87811,a900)),f329(f329(f42(x87812,f913(x87811,a900)),x87813),x87814)),f329(x87814,x87815)))+~P1(f329(f329(f331(x87812),x87815),x87813)) % 166.45/166.22 [8829]~P59(x88291,x88292,x88293,x88295,x88294)+E(f329(f312(x88291,x88292,x88293),f247(f913(x88291,a900))),x88294) % 166.45/166.22 [9049]E(f329(f139(x90491,x90492),f773(x90493,x90494,x90495,x90492,x90491)),x90493)+~E(f329(f139(x90491,x90492),x90495),f329(f329(f154(x90491),x90494),x90493)) % 166.45/166.22 [9050]E(f329(f139(x90501,x90502),f768(x90503,x90502,x90504,x90505,x90501)),x90504)+~E(f329(f329(f154(x90501),x90505),x90504),f329(f139(x90501,x90502),x90503)) % 166.45/166.22 [9146]E(f329(f192(f906(x91461)),x91462),x91463)+~P1(f329(f329(f331(f912(f906(x91461),f906(x91461))),f329(f329(f257(f906(x91461),f906(x91461)),x91464),x91462)),f329(f146(x91461,x91465),x91463))) % 166.45/166.22 [9147]E(f329(f192(f906(x91471)),x91472),x91473)+~P1(f329(f329(f331(f912(f906(x91471),f906(x91471))),f329(f329(f257(f906(x91471),f906(x91471)),x91472),x91474)),f329(f146(x91471,x91475),x91473))) % 166.45/166.22 [9216]P1(f329(f329(f331(x92161),f394(x92162,x92163,x92161,x92164)),x92162))+~P1(f329(f329(f331(x92165),x92164),f329(f312(x92161,x92165,x92163),x92162))) % 166.45/166.22 [9217]P1(f329(f329(f331(x92171),f500(x92172,x92173,x92171,x92174)),x92172))+~P1(f329(f329(f331(x92175),x92174),f329(f312(x92171,x92175,x92173),x92172))) % 166.45/166.22 [9378]~P40(f913(x93783,a900),f913(x93781,a900),x93782)+P1(f329(f329(f239(f913(x93781,a900)),f329(x93782,f329(f329(f106(f913(x93783,a900)),x93784),x93785))),f329(f329(f106(f913(x93781,a900)),f329(x93782,x93784)),f329(x93782,x93785)))) % 166.45/166.22 [9380]E(f329(f312(x93801,x93802,x93803),f898(x93804,x93803,x93801,x93805,x93802)),x93805)+~P1(f329(f329(f239(f913(x93802,a900)),x93805),f329(f312(x93801,x93802,x93803),x93804))) % 166.45/166.22 [9688]P1(f329(f329(f331(f912(f906(x96881),f906(x96881))),f329(f329(f257(f906(x96881),f906(x96881)),f329(f329(f154(x96881),x96882),x96883)),f329(f329(f154(x96881),x96882),x96884))),f309(f906(x96881),f160(x96881,x96885))))+~P1(f329(f329(f331(f912(f906(x96881),f906(x96881))),f329(f329(f257(f906(x96881),f906(x96881)),x96883),x96884)),f309(f906(x96881),f160(x96881,x96885)))) % 166.45/166.22 [9719]~E(f329(x97193,f718(x97195,x97194,x97193,x97192,x97191)),f329(x97195,f718(x97195,x97194,x97193,x97192,x97191)))+E(f329(f329(f157(x97191,x97192),x97193),x97194),f329(f329(f157(x97191,x97192),x97195),x97194)) % 166.45/166.22 [9796]~E(f329(f139(x97961,x97965),x97964),f329(f329(f154(x97961),x97963),x97962))+E(f329(f329(f137(x97961),f771(x97962,x97963,x97964,x97965,x97961)),f329(f329(f154(x97961),x97963),f773(x97962,x97963,x97964,x97965,x97961))),x97964) % 166.45/166.22 [9797]~E(f329(f329(f154(x97971),x97975),x97974),f329(f139(x97971,x97973),x97972))+E(f329(f329(f137(x97971),f769(x97972,x97973,x97974,x97975,x97971)),f329(f329(f154(x97971),x97975),f768(x97972,x97973,x97974,x97975,x97971))),x97972) % 166.45/166.22 [9801]E(f329(f329(f157(x98011,x98012),x98013),x98014),f329(f329(f157(x98011,x98012),x98015),x98014))+P1(f329(f329(f331(x98011),f718(x98013,x98014,x98015,x98012,x98011)),f329(f175(x98011),x98014))) % 166.45/166.22 [9832]~P1(f329(f329(f331(x98325),x98324),f329(f288(x98321,x98325,x98323),x98322)))+P1(f329(f329(f331(x98321),f499(x98322,x98323,x98321,x98324,x98325)),x98322)) % 166.45/166.22 [9833]~P1(f329(f329(f331(x98335),x98334),f329(f288(x98331,x98335,x98333),x98332)))+P1(f329(f329(f331(x98331),f525(x98332,x98333,x98331,x98334,x98335)),x98332)) % 166.45/166.22 [9862]~P1(f329(f329(f239(f913(x98625,a900)),x98624),f329(f312(x98621,x98625,x98623),x98622)))+P1(f329(f329(f239(f913(x98621,a900)),f898(x98622,x98623,x98621,x98624,x98625)),x98622)) % 166.45/166.22 [10287]E(x102871,f2(a104))+E(f227(f912(f906(x102872),x102873),f912(x102872,x102873),f329(f329(f257(f906(x102872),x102873),f118(x102872)),x102874),f329(f262(x102872,x102873,f912(f906(x102872),x102873)),f329(f329(f7(x102872,f913(x102873,f912(f906(x102872),x102873)),f913(x102873,f912(f906(x102872),x102873))),f329(f329(f8(f913(f912(f906(x102872),x102873),f912(f906(x102872),x102873)),f913(f913(x102873,f912(f906(x102872),x102873)),f913(x102873,f912(f906(x102872),x102873))),x102872),f8(f912(f906(x102872),x102873),f912(f906(x102872),x102873),x102873)),f329(f329(f8(f913(f906(x102872),f913(x102873,f912(f906(x102872),x102873))),f913(f912(f906(x102872),x102873),f912(f906(x102872),x102873)),x102872),f262(f906(x102872),x102873,f912(f906(x102872),x102873))),f329(f329(f8(f913(f906(x102872),f906(x102872)),f913(f906(x102872),f913(x102873,f912(f906(x102872),x102873))),x102872),f329(f8(f906(x102872),f913(x102873,f912(f906(x102872),x102873)),f906(x102872)),f257(f906(x102872),x102873))),f154(x102872))))),f329(f122(x102873,x102872,x102875),f329(f329(f23(a104),x102871),f80(a104))))),f329(x102875,x102874)),f329(f329(f122(x102873,x102872,x102875),x102871),x102874)) % 166.45/166.22 [6103]E(x61031,x61032)+~E(f329(f261(x61033,x61034),f329(f329(f257(x61033,x61034),x61035),x61031)),x61032) % 166.45/166.22 [6104]E(x61041,x61042)+~E(f329(f256(x61043,x61044),f329(f329(f257(x61043,x61044),x61041),x61045)),x61042) % 166.45/166.22 [6366]~E(x63663,f329(f329(f137(x63661),x63664),f329(f329(f154(x63661),x63662),x63665)))+P1(f329(f329(f331(x63661),x63662),f329(f175(x63661),x63663))) % 166.45/166.22 [6766]E(f329(f312(x67661,x67662,f329(f16(x67662,x67661),x67663)),x67664),f329(f329(f311(x67662),x67663),f191(f913(x67662,a900))))+~P1(f329(f329(f331(x67661),x67665),x67664)) % 166.45/166.22 [6837]E(f329(f329(f115(f913(x68371,a900)),f329(f175(x68371),x68372)),f329(f175(x68371),x68373)),f329(f175(x68371),x68374))+~E(f169(x68371,x68375,x68374),f329(f329(f257(f906(x68371),f906(x68371)),x68372),x68373)) % 166.45/166.22 [6936]~P105(x69362)+E(f329(f192(f906(x69361)),f329(f329(f151(x69361,x69362,x69363),x69364),x69365)),f329(a117,f329(f192(f906(x69361)),x69365))) % 166.45/166.23 [6948]~P105(x69482)+E(f329(f175(x69481),f329(f329(f151(x69481,x69482,x69483),x69484),x69485)),f329(f329(f311(x69481),x69484),f329(f175(x69481),x69485))) % 166.45/166.23 [7217]~P118(x72171)+E(f329(f329(f82(x72171),f329(f329(f82(x72171),x72172),x72173)),f329(f329(f82(x72171),x72174),x72175)),f329(f329(f82(x72171),f329(f329(f82(x72171),x72172),x72174)),f329(f329(f82(x72171),x72173),x72175))) % 166.45/166.23 [7218]~P118(x72181)+E(f329(f329(f83(x72181),f329(f329(f83(x72181),x72182),x72183)),f329(f329(f83(x72181),x72184),x72185)),f329(f329(f83(x72181),f329(f329(f83(x72181),x72182),x72184)),f329(f329(f83(x72181),x72183),x72185))) % 166.45/166.23 [7219]~P70(x72191)+E(f329(f329(f292(x72191),f329(f329(f83(x72191),x72192),x72193)),f329(f329(f83(x72191),x72194),x72195)),f329(f329(f83(x72191),f329(f329(f292(x72191),x72192),x72194)),f329(f329(f292(x72191),x72193),x72195))) % 166.45/166.23 [7233]~P105(x72331)+E(f305(x72331,f329(f329(f238(x72331),x72332),x72333),f329(f329(f237(x72331),x72334),x72335)),f329(f329(f106(f913(x72331,a900)),f305(x72331,x72332,x72334)),f305(x72331,x72333,x72335))) % 166.45/166.23 [7234]~P105(x72341)+E(f307(x72341,f329(f329(f238(x72341),x72342),x72343),f329(f329(f237(x72341),x72344),x72345)),f329(f329(f106(f913(x72341,a900)),f307(x72341,x72342,x72344)),f307(x72341,x72343,x72345))) % 166.45/166.23 [7235]~P105(x72351)+E(f308(x72351,f329(f329(f238(x72351),x72352),x72353),f329(f329(f237(x72351),x72354),x72355)),f329(f329(f106(f913(x72351,a900)),f308(x72351,x72352,x72354)),f308(x72351,x72353,x72355))) % 166.45/166.23 [7236]~P105(x72361)+E(f329(f329(f106(f913(x72361,a900)),f329(f304(x72361,x72362),x72363)),f329(f304(x72361,x72364),x72365)),f329(f304(x72361,f329(f329(f238(x72361),x72362),x72364)),f329(f329(f237(x72361),x72363),x72365))) % 166.45/166.23 [7358]~P1(f329(x73581,f498(x73583,x73582,x73581)))+P1(f329(x73581,f329(f329(f257(x73582,x73583),x73584),x73585))) % 166.45/166.23 [7472]~E(x74722,f329(x74724,x74725))+P1(f329(f329(f331(x74721),x74722),f329(f312(x74723,x74721,x74724),f247(f913(x74723,a900))))) % 166.45/166.23 [7549]~P13(x75493,x75492,x75494)+P13(x75491,x75492,f329(f329(f8(x75493,f913(x75492,x75492),x75491),x75494),x75495)) % 166.45/166.23 [7550]~P15(x75503,x75502,x75504)+P15(x75501,x75502,f329(f329(f8(x75503,f913(x75502,x75502),x75501),x75504),x75505)) % 166.45/166.23 [7687]~P24(x76871,x76872,x76873,x76874)+P24(x76871,x76872,x76873,f329(f329(f23(f913(x76871,a900)),x76874),x76875)) % 166.45/166.23 [7843]~P1(f329(f329(x78433,x78434),x78435))+P1(f329(f329(f262(x78431,x78432,a900),x78433),f329(f329(f257(x78431,x78432),x78434),x78435))) % 166.45/166.23 [7962]~P1(f329(x79622,x79624))+~E(f329(f329(f141(x79621),f329(f192(f906(x79621)),f180(x79621,x79622,x79623))),x79623),f329(f329(f154(x79621),x79624),x79625)) % 166.45/166.23 [7982]P24(x79821,x79822,x79823,x79824)+~P24(x79821,x79822,x79823,f329(f329(f115(f913(x79821,a900)),x79825),x79824)) % 166.45/166.23 [7983]P24(x79831,x79832,x79833,x79834)+~P24(x79831,x79832,x79833,f329(f329(f115(f913(x79831,a900)),x79834),x79835)) % 166.45/166.23 [8030]~P105(x80302)+E(f329(f329(f151(x80301,x80302,x80303),x80304),f153(x80301,x80302,x80303,x80305)),f153(x80301,x80302,x80303,f329(f329(f154(x80301),x80304),x80305))) % 166.45/166.23 [8199]~P27(x81991,f329(a117,x81992),f329(f329(f329(f93(x81991),x81993),f329(a26,x81994)),x81995))+P27(x81991,x81992,f329(f329(f329(f93(x81991),x81993),f329(f236(a902),f329(a27,x81994))),x81995)) % 166.45/166.23 [8328]P27(x83281,f329(a117,x83282),f329(f329(f329(f93(x83281),x83283),f329(a26,x83284)),x83285))+~P27(x83281,x83282,f329(f329(f329(f93(x83281),x83283),f329(f236(a902),f329(a27,x83284))),x83285)) % 166.45/166.23 [8357]~P13(x83572,x83571,x83573)+E(f329(f145(x83571,x83572,f329(f7(x83572,x83571,x83571),x83573),x83574),x83575),f329(f329(f66(x83572,x83571,x83573),x83574),f329(f175(x83572),x83575))) % 166.45/166.23 [8385]~E(f329(f329(f141(x83851),f329(f192(f906(x83851)),f180(x83851,x83852,x83853))),x83853),f329(f329(f154(x83851),x83854),x83855))+E(f329(f329(f137(x83851),f180(x83851,x83852,x83853)),f329(f329(f154(x83851),x83854),x83855)),x83853) % 166.45/166.23 [8413]P1(f329(f329(x84131,x84132),x84133))+~P1(f329(f329(f262(x84134,x84135,a900),x84131),f329(f329(f257(x84134,x84135),x84132),x84133))) % 166.45/166.23 [8485]P42(x84854,f592(x84855,x84854,x84853,x84852),x84852,f601(x84855,x84854,x84853,x84852))+P27(x84851,x84852,f329(f329(f329(f93(x84851),x84853),x84854),x84855)) % 166.45/166.23 [8886]P1(f329(f329(f239(f913(x88861,a900)),f329(f312(x88862,x88861,x88863),x88864)),f329(f312(x88862,x88861,x88863),x88865)))+~P1(f329(f329(f239(f913(x88862,a900)),x88864),x88865)) % 166.45/166.23 [8887]P1(f329(f329(f239(f913(x88871,a900)),f329(f313(x88871,x88872,x88873),x88874)),f329(f313(x88871,x88872,x88873),x88875)))+~P1(f329(f329(f239(f913(x88872,a900)),x88874),x88875)) % 166.45/166.23 [8962]E(x89621,f2(a104))+E(f329(f329(f264(x89622,x89623,x89622,f912(x89623,x89622)),f329(x89624,x89625)),f276(x89623,x89622,f329(f329(f23(a104),x89621),f80(a104)),x89624)),f329(f276(x89623,x89622,x89621,x89624),x89625)) % 166.45/166.23 [9076]P1(f329(f329(f260(x90761,x90762,a900,x90763),x90764),x90765))+~P1(f329(x90763,f329(f329(f257(x90761,x90762),x90764),x90765))) % 166.45/166.23 [9297]P27(x92971,x92972,f329(f329(f329(f93(x92971),x92973),x92974),x92975))+P1(f329(f329(x92973,f581(x92975,x92974,x92973,x92972)),f592(x92975,x92974,x92973,x92972))) % 166.45/166.23 [9358]~P1(f329(f329(f260(x93582,x93583,a900,x93581),x93584),x93585))+P1(f329(x93581,f329(f329(f257(x93582,x93583),x93584),x93585))) % 166.45/166.23 [9536]P27(x95361,x95362,f329(f329(f329(f93(x95361),x95363),x95364),x95365))+~P1(f329(f329(x95365,f581(x95365,x95364,x95363,x95362)),f601(x95365,x95364,x95363,x95362))) % 166.45/166.23 [9539]~P1(f329(f329(f331(x95392),x95395),f329(f312(x95391,x95392,x95394),x95393)))+P1(f329(f329(f331(x95391),f329(f94(x95391,x95392,x95393,x95394),x95395)),x95393)) % 166.45/166.23 [9631]~P1(f329(f63(x96313),f329(f312(x96312,x96313,x96315),f247(f913(x96312,a900)))))+P1(f329(f63(x96311),f329(f312(x96312,x96311,f329(f329(f8(x96313,x96311,x96312),x96314),x96315)),f247(f913(x96312,a900))))) % 166.45/166.23 [9655]P1(f329(f329(f239(f913(f913(x96551,a900),a900)),f329(f312(f913(x96552,a900),f913(x96551,a900),f312(x96552,x96551,x96553)),f329(f310(x96552),x96554))),f329(f310(x96551),x96555)))+~P1(f329(f329(f239(f913(x96551,a900)),f329(f312(x96552,x96551,x96553),x96554)),x96555)) % 166.45/166.23 [9728]E(x97281,x97282)+~P1(f329(f68(x97283,x97284,x97285,x97281,f191(f913(x97283,a900))),x97282)) % 166.45/166.23 [9745]E(f329(f329(f257(x97451,x97452),f552(x97453,x97454,x97455,x97452,x97451)),f553(x97453,x97454,x97455,x97452,x97451)),x97455)+~P1(f329(f329(f331(f912(x97451,x97452)),x97455),f329(f329(f259(x97451,x97452),x97454),x97453))) % 166.45/166.23 [9837]P1(f329(f329(f331(x98371),f552(x98372,x98373,x98374,x98375,x98371)),x98373))+~P1(f329(f329(f331(f912(x98371,x98375)),x98374),f329(f329(f259(x98371,x98375),x98373),x98372))) % 166.45/166.23 [9940]P23(x99405,x99404,f329(f329(f311(f904(x99405)),f329(f329(f329(f93(x99405),x99401),x99403),x99402)),f191(f913(f904(x99405),a900))))+P1(f329(f329(x99401,f427(x99402,x99403,x99404,x99405,x99401)),f435(x99402,x99403,x99404,x99405,x99401))) % 166.45/166.23 [9992]P1(f329(f329(f331(x99921),f553(x99922,x99923,x99924,x99921,x99925)),f329(x99922,f552(x99922,x99923,x99924,x99921,x99925))))+~P1(f329(f329(f331(f912(x99925,x99921)),x99924),f329(f329(f259(x99925,x99921),x99923),x99922))) % 166.45/166.23 [10012]P1(f329(f329(f331(f912(x100121,x100121)),f329(f329(f257(x100121,x100121),x100122),f624(x100123,x100124,x100125,x100122,x100121))),x100123))+~P1(f329(f329(f331(f912(x100121,x100121)),f329(f329(f257(x100121,x100121),x100122),x100125)),f329(f329(f186(f912(x100121,x100121),a900),f329(a117,x100124)),x100123))) % 166.45/166.23 [10013]P1(f329(f329(f331(f912(x100131,x100131)),f329(f329(f257(x100131,x100131),x100132),f626(x100133,x100134,x100135,x100132,x100131))),x100133))+~P1(f329(f329(f331(f912(x100131,x100131)),f329(f329(f257(x100131,x100131),x100132),x100135)),f329(f329(f186(f912(x100131,x100131),a900),f329(a117,x100134)),x100133))) % 166.45/166.23 [10030]~P1(f329(f329(f331(f912(f906(x100301),f906(x100301))),f329(f329(f257(f906(x100301),f906(x100301)),f329(f329(f154(x100301),x100302),x100305)),x100304)),f161(x100301,x100303)))+P1(f329(f329(f331(f912(x100301,x100301)),f329(f329(f257(x100301,x100301),x100302),f674(x100303,x100304,x100305,x100302,x100301))),x100303)) % 166.45/166.23 [10032]~P23(x100321,x100322,f329(f329(f311(f904(x100321)),f329(f329(f329(f93(x100321),f95(x100321,x100323,x100324)),x100325),x100323)),f191(f913(f904(x100321),a900))))+P23(x100321,x100322,f329(f329(f311(f904(x100321)),f329(f329(f329(f93(x100321),x100323),f31(x100324,x100325)),f95(x100321,x100323,f329(f74(a900,a900,a901,a324),x100324)))),f191(f913(f904(x100321),a900)))) % 166.45/166.23 [10311]P23(x103111,x103112,f329(f329(f311(f904(x103111)),f329(f329(f329(f93(x103111),x103113),x103114),x103115)),f191(f913(f904(x103111),a900))))+~P23(x103111,x103112,f329(f329(f311(f904(x103111)),f329(f329(f329(f93(x103111),f329(f16(f913(a901,a900),x103111),f329(f329(f7(a901,a901,a900),a326),f435(x103115,x103114,x103112,x103111,x103113)))),x103114),f329(f16(f913(a901,a900),x103111),f329(x103115,f427(x103115,x103114,x103112,x103111,x103113))))),f191(f913(f904(x103111),a900)))) % 166.45/166.23 [6442]P1(f329(x64422,x64424))+E(f180(x64421,x64422,f329(f329(f137(x64421),x64423),f329(f329(f154(x64421),x64424),x64425))),f180(x64421,x64422,x64423)) % 166.45/166.23 [6493]~P2(x64932)+E(f329(f329(f329(f115(f913(x64931,x64932)),x64933),x64934),x64935),f329(f329(f115(x64932),f329(x64933,x64935)),f329(x64934,x64935))) % 166.45/166.23 [6495]~P66(x64952)+E(f329(f329(f329(f23(f913(x64951,x64952)),x64953),x64954),x64955),f329(f329(f23(x64952),f329(x64953,x64955)),f329(x64954,x64955))) % 166.45/166.23 [6497]~P2(x64972)+E(f329(f329(f329(f106(f913(x64971,x64972)),x64973),x64974),x64975),f329(f329(f106(x64972),f329(x64973,x64975)),f329(x64974,x64975))) % 166.45/166.23 [6516]E(x65161,x65162)+E(f329(f329(f167(x65163),f329(f329(f162(x65163,x65164),x65161),x65165)),x65162),f329(f329(f167(x65163),x65164),x65162)) % 166.45/166.23 [6785]~E(x67854,f191(f913(x67853,a900)))+E(f329(f329(f115(f913(x67851,a900)),x67852),f329(f329(f41(x67853,f913(x67851,a900)),x67854),x67855)),x67852) % 166.45/166.23 [6786]~E(x67864,f191(f913(x67863,a900)))+E(f329(f329(f23(f913(x67861,a900)),x67862),f329(f329(f41(x67863,f913(x67861,a900)),x67864),x67865)),x67862) % 166.45/166.23 [6787]~E(x67874,f191(f913(x67873,a900)))+E(f329(f329(f106(f913(x67871,a900)),x67872),f329(f329(f42(x67873,f913(x67871,a900)),x67874),x67875)),x67872) % 166.45/166.23 [6803]~E(x68034,f191(f913(x68033,a900)))+E(f329(f329(f311(x68031),x68032),f329(f329(f41(x68033,f913(x68031,a900)),x68034),x68035)),f329(f329(f311(x68031),x68032),f191(f913(x68031,a900)))) % 166.45/166.23 [7596]E(f329(f329(f167(x75961),f329(f329(f157(x75962,x75961),x75963),x75964)),x75965),f329(x75963,f329(f329(f167(x75962),x75964),x75965)))+~P1(f329(f329(f240(a905),x75965),f329(f192(f906(x75962)),x75964))) % 166.45/166.23 [7658]E(f329(f329(f115(f913(x76581,a900)),f329(x76582,x76583)),f329(f329(f41(x76584,f913(x76581,a900)),x76585),x76582)),f329(f329(f41(x76584,f913(x76581,a900)),x76585),x76582))+~P1(f329(f329(f331(x76584),x76583),x76585)) % 166.45/166.23 [7659]E(f329(f329(f106(f913(x76591,a900)),f329(x76592,x76593)),f329(f329(f42(x76594,f913(x76591,a900)),x76595),x76592)),f329(f329(f42(x76594,f913(x76591,a900)),x76595),x76592))+~P1(f329(f329(f331(x76594),x76593),x76595)) % 166.45/166.23 [8278]~E(x82783,f191(f913(x82781,a900)))+E(f329(f329(f41(x82781,f913(x82782,a900)),x82783),f329(f329(f8(f913(x82782,a900),f913(x82782,a900),x82781),f329(f311(x82782),x82784)),x82785)),f191(f913(x82782,a900))) % 166.45/166.23 [8284]~P1(f329(f329(f331(x82844),x82843),x82845))+P1(f329(f329(f239(f913(x82841,a900)),f329(x82842,x82843)),f329(f329(f41(x82844,f913(x82841,a900)),x82845),x82842))) % 166.45/166.23 [8412]~E(f329(x84124,x84122),x84125)+P1(f329(f329(f331(x84121),x84122),f329(f313(x84121,x84123,x84124),f329(f329(f311(x84123),x84125),f191(f913(x84123,a900)))))) % 166.45/166.23 [8460]~P57(x84601,x84602,f329(f289(x84602,x84601),x84603))+E(f329(f329(f106(f913(x84601,a900)),f329(f288(x84602,x84601,x84603),x84604)),f329(f288(x84602,x84601,x84603),x84605)),f329(f288(x84602,x84601,x84603),f329(f329(f106(f913(x84602,a900)),x84604),x84605))) % 166.45/166.23 [8535]E(x85351,f2(a104))+E(f329(f123(x85352,x85353,f329(x85354,f329(f329(f23(a104),x85351),f80(a104)))),f329(f329(f7(x85352,a104,f907(x85353)),x85355),x85351)),f329(f202(x85352,x85353,x85354,x85355),x85351)) % 166.45/166.23 [8579]E(x85791,f191(f913(x85792,a900)))+E(f329(f329(f41(x85792,f913(x85793,a900)),x85791),f329(f329(f8(f913(x85793,a900),f913(x85793,a900),x85792),f329(f311(x85793),x85794)),x85795)),f329(f329(f311(x85793),x85794),f329(f329(f41(x85792,f913(x85793,a900)),x85791),x85795))) % 166.45/166.23 [8637]~P24(x86372,x86371,x86373,f247(f913(x86372,a900)))+E(f329(f329(f23(f913(x86371,a900)),f329(f312(x86372,x86371,x86373),x86374)),f329(f312(x86372,x86371,x86373),x86375)),f329(f312(x86372,x86371,x86373),f329(f329(f23(f913(x86372,a900)),x86374),x86375))) % 166.45/166.23 [8638]~P24(x86382,x86381,x86383,f247(f913(x86382,a900)))+E(f329(f329(f106(f913(x86381,a900)),f329(f312(x86382,x86381,x86383),x86384)),f329(f312(x86382,x86381,x86383),x86385)),f329(f312(x86382,x86381,x86383),f329(f329(f106(f913(x86382,a900)),x86384),x86385))) % 166.45/166.23 [8704]~P1(f329(f329(f69(x87041,x87042,x87045),x87043),x87044))+P1(f329(f329(f331(f912(x87041,x87042)),f329(f329(f257(x87041,x87042),x87043),x87044)),x87045)) % 166.45/166.23 [8735]P1(f329(f329(f331(x87351),x87352),f329(f287(x87353,x87351),x87354)))+~P1(f329(f329(f331(f912(x87353,x87351)),f329(f329(f257(x87353,x87351),x87355),x87352)),x87354)) % 166.45/166.23 [8737]P1(f329(f329(f331(x87371),x87372),f329(f269(x87371,x87373),x87374)))+~P1(f329(f329(f331(f912(x87371,x87373)),f329(f329(f257(x87371,x87373),x87372),x87375)),x87374)) % 166.45/166.23 [8870]P1(f329(f329(f69(x88701,x88702,x88703),x88704),x88705))+~P1(f329(f329(f331(f912(x88701,x88702)),f329(f329(f257(x88701,x88702),x88704),x88705)),x88703)) % 166.45/166.23 [8909]E(f329(x89091,x89092),x89093)+~P1(f329(f329(f331(x89094),x89092),f329(f313(x89094,x89095,x89091),f329(f329(f311(x89095),x89093),f191(f913(x89095,a900)))))) % 166.45/166.23 [9143]P1(f329(f329(f331(f912(x91431,x91432)),f329(f329(f257(x91431,x91432),x91433),x91434)),f329(f289(x91432,x91431),x91435)))+~P1(f329(f329(f331(f912(x91432,x91431)),f329(f329(f257(x91432,x91431),x91434),x91433)),x91435)) % 166.45/166.23 [9161]~P1(f329(f329(x91611,x91615),x91614))+P1(f329(f329(x91611,f329(f261(x91612,x91613),f329(f329(f257(x91612,x91613),x91614),x91615))),f329(f256(x91612,x91613),f329(f329(f257(x91612,x91613),x91614),x91615)))) % 166.45/166.23 [9191]~P1(f329(f329(f331(f912(x91912,x91911)),f329(f329(f257(x91912,x91911),x91914),x91913)),f329(f289(x91911,x91912),x91915)))+P1(f329(f329(f331(f912(x91911,x91912)),f329(f329(f257(x91911,x91912),x91913),x91914)),x91915)) % 166.45/166.23 [9224]~P1(f329(f329(f331(f912(x92243,x92241)),f329(f329(f257(x92243,x92241),x92245),x92242)),x92244))+P1(f329(f329(f331(x92241),x92242),f329(f288(x92243,x92241,x92244),f329(f329(f311(x92243),x92245),f191(f913(x92243,a900)))))) % 166.45/166.23 [9278]P1(f329(f329(f331(f912(x92781,x92782)),f329(f329(f257(x92781,x92782),x92783),x92784)),x92785))+~P1(f329(f329(f331(x92782),x92784),f329(f288(x92781,x92782,x92785),f329(f329(f311(x92781),x92783),f191(f913(x92781,a900)))))) % 166.45/166.23 [9365]~P74(x93651)+E(f329(f329(f6(a905,x93651),x93652),f305(a905,f329(f329(f82(a905),x93653),x93654),f329(f329(f82(a905),x93655),x93654))),f329(f329(f6(a905,x93651),f329(f329(f8(a905,x93651,a905),x93652),f329(f329(f7(a905,a905,a905),f82(a905)),x93654))),f305(a905,x93653,x93655))) % 166.45/166.23 [9384]~P74(x93841)+E(f329(f329(f6(a905,x93841),x93842),f329(f304(a905,f329(f329(f82(a905),x93843),x93844)),f329(f329(f82(a905),x93845),x93844))),f329(f329(f6(a905,x93841),f329(f329(f8(a905,x93841,a905),x93842),f329(f329(f7(a905,a905,a905),f82(a905)),x93844))),f329(f304(a905,x93843),x93845))) % 166.45/166.23 [9441]~P24(x94411,x94412,x94413,f247(f913(x94411,a900)))+E(f329(f329(f157(x94411,x94412),x94413),f329(f139(x94411,f329(f329(f8(a900,a900,x94411),a324),f329(a326,x94414))),x94415)),f329(f139(x94412,f329(f329(f8(a900,a900,x94412),a324),f329(a326,f329(x94413,x94414)))),f329(f329(f157(x94411,x94412),x94413),x94415))) % 166.45/166.23 [9459]~P24(x94591,x94592,x94593,f329(f329(f311(x94591),x94594),f329(f175(x94591),x94595)))+E(f329(f329(f157(x94591,x94592),x94593),f329(f139(x94591,f329(f329(f8(a900,a900,x94591),a324),f329(a326,x94594))),x94595)),f329(f139(x94592,f329(f329(f8(a900,a900,x94592),a324),f329(a326,f329(x94593,x94594)))),f329(f329(f157(x94591,x94592),x94593),x94595))) % 166.45/166.23 [9619]P1(f329(f329(f331(f912(f906(x96191),f906(x96191))),f329(f329(f257(f906(x96191),f906(x96191)),f329(f329(f154(x96191),x96192),x96193)),f329(f329(f154(x96191),x96194),x96193))),f160(x96191,x96195)))+~P1(f329(f329(f331(f912(x96191,x96191)),f329(f329(f257(x96191,x96191),x96192),x96194)),x96195)) % 166.45/166.23 [9726]P23(x97261,x97262,f329(f329(f311(f904(x97261)),f329(f329(f329(f93(x97261),x97263),f329(a26,x97264)),x97265)),f191(f913(f904(x97261),a900))))+~P23(x97261,f329(f329(f311(f904(x97261)),f329(f329(f329(f93(x97261),x97263),f329(a26,x97264)),x97265)),x97262),f329(f329(f311(f904(x97261)),f329(f329(f329(f93(x97261),x97263),f329(f236(a902),f329(a27,x97264))),x97265)),f191(f913(f904(x97261),a900)))) % 166.45/166.23 [9740]E(f329(f329(f311(x97401),f397(x97402,x97403,x97404,x97405,x97401)),f398(x97402,x97403,x97404,x97405,x97401)),f329(f329(f311(x97401),x97404),x97403))+~P1(f329(f64(x97401,x97405,f329(f329(f311(x97401),x97404),x97403)),x97402)) % 166.45/166.23 [9741]E(f329(f329(f311(x97411),f399(x97412,x97413,x97414,x97415,x97411)),f400(x97412,x97413,x97414,x97415,x97411)),f329(f329(f311(x97411),x97414),x97413))+~P1(f329(f64(x97411,x97415,f329(f329(f311(x97411),x97414),x97413)),x97412)) % 166.45/166.23 [9822]P1(f329(f329(f331(x98221),f636(x98222,x98223,x98224,x98225,x98221)),x98224))+P1(f329(f329(f329(f42(x98221,f913(x98225,a900)),x98224),x98223),x98222)) % 166.45/166.23 [9827]P1(f329(f329(f331(x98271),f630(x98272,x98273,x98271,x98274,x98275)),x98273))+P1(f329(f329(f331(x98275),x98274),f329(f329(f42(x98271,f913(x98275,a900)),x98273),x98272))) % 166.45/166.23 [9836]P1(f329(f329(f331(x98361),f634(x98362,x98363,x98361,x98364,x98365)),x98363))+P1(f329(f329(f239(f913(x98365,a900)),x98364),f329(f329(f42(x98361,f913(x98365,a900)),x98363),x98362))) % 166.45/166.23 [9838]P1(f329(f329(x98381,f424(x98382,x98381,x98383,x98384,x98385)),x98382))+~P1(f329(f329(f329(f41(x98385,f913(x98384,a900)),x98383),x98381),x98382)) % 166.45/166.23 [9842]P1(f329(f329(f331(x98421),f424(x98422,x98423,x98424,x98425,x98421)),x98424))+~P1(f329(f329(f329(f41(x98421,f913(x98425,a900)),x98424),x98423),x98422)) % 166.45/166.23 [9843]P55(x98434,f329(f329(f42(x98431,f913(x98434,a900)),x98435),x98433),f329(f329(f42(x98431,f913(f912(x98434,x98434),a900)),x98435),x98432))+P1(f329(f329(f331(x98431),f798(x98432,x98433,x98434,x98435,x98431)),x98435)) % 166.45/166.23 [9854]P1(f329(f329(f331(x98541),f432(x98542,x98543,x98541,x98544,x98545)),x98543))+~P1(f329(f329(f331(x98545),x98544),f329(f329(f41(x98541,f913(x98545,a900)),x98543),x98542))) % 166.45/166.23 [9860]P1(f329(f329(f331(x98601),x98602),f329(x98603,f432(x98603,x98604,x98605,x98602,x98601))))+~P1(f329(f329(f331(x98601),x98602),f329(f329(f41(x98605,f913(x98601,a900)),x98604),x98603))) % 166.45/166.23 [9945]~P1(f329(f329(x99454,f636(x99455,x99454,x99453,x99452,x99451)),x99455))+P1(f329(f329(f329(f42(x99451,f913(x99452,a900)),x99453),x99454),x99455)) % 166.45/166.23 [9948]~P1(f329(f329(f331(x99481),x99482),f329(x99485,f630(x99485,x99484,x99483,x99482,x99481))))+P1(f329(f329(f331(x99481),x99482),f329(f329(f42(x99483,f913(x99481,a900)),x99484),x99485))) % 166.45/166.23 [9952]~P55(x99521,f329(x99524,f798(x99525,x99524,x99521,x99523,x99522)),f329(x99525,f798(x99525,x99524,x99521,x99523,x99522)))+P55(x99521,f329(f329(f42(x99522,f913(x99521,a900)),x99523),x99524),f329(f329(f42(x99522,f913(f912(x99521,x99521),a900)),x99523),x99525)) % 166.45/166.23 [9953]~P1(f329(f329(f239(f913(x99531,a900)),x99532),f329(x99535,f634(x99535,x99534,x99533,x99532,x99531))))+P1(f329(f329(f239(f913(x99531,a900)),x99532),f329(f329(f42(x99533,f913(x99531,a900)),x99534),x99535))) % 166.45/166.23 [10016]~P1(f329(f329(f331(x100161),f397(x100165,x100164,x100163,x100162,x100161)),f398(x100165,x100164,x100163,x100162,x100161)))+~P1(f329(f64(x100161,x100162,f329(f329(f311(x100161),x100163),x100164)),x100165)) % 166.45/166.23 [10017]~P1(f329(f329(f331(x100171),f399(x100175,x100174,x100173,x100172,x100171)),f400(x100175,x100174,x100173,x100172,x100171)))+~P1(f329(f64(x100171,x100172,f329(f329(f311(x100171),x100173),x100174)),x100175)) % 166.45/166.23 [10018]~P1(f329(f329(f331(f912(x100181,x100181)),f329(f329(f257(x100181,x100181),x100182),x100185)),f329(f329(f186(f912(x100181,x100181),a900),f329(a117,x100184)),x100183)))+P1(f329(f329(f331(f912(x100181,x100181)),f329(f329(f257(x100181,x100181),x100182),f625(x100183,x100184,x100185,x100182,x100181))),f329(f329(f186(f912(x100181,x100181),a900),x100184),x100183))) % 166.45/166.23 [10024]P1(f329(f68(x100241,x100241,x100242,f397(x100243,x100244,x100245,x100242,x100241),f398(x100243,x100244,x100245,x100242,x100241)),x100243))+~P1(f329(f64(x100241,x100242,f329(f329(f311(x100241),x100245),x100244)),x100243)) % 166.45/166.23 [10025]P1(f329(f68(x100251,x100251,x100252,f399(x100253,x100254,x100255,x100252,x100251),f400(x100253,x100254,x100255,x100252,x100251)),x100253))+~P1(f329(f64(x100251,x100252,f329(f329(f311(x100251),x100255),x100254)),x100253)) % 166.45/166.23 [10036]~P105(x100361)+P12(x100361,f329(f329(f157(x100362,x100361),x100363),f329(f139(x100362,f329(f329(f7(x100362,x100361,a900),f329(f329(f8(x100361,f913(x100361,a900),x100362),a326),x100363)),f329(x100364,x100365))),x100365))) % 166.45/166.23 [10075]~P1(f329(f329(f331(x100752),x100755),f329(f288(x100751,x100752,x100754),x100753)))+P1(f329(f329(f331(f912(x100751,x100752)),f329(f329(f257(x100751,x100752),f499(x100753,x100754,x100751,x100755,x100752)),x100755)),x100754)) % 166.45/166.23 [10076]~P1(f329(f329(f331(x100762),x100765),f329(f288(x100761,x100762,x100764),x100763)))+P1(f329(f329(f331(f912(x100761,x100762)),f329(f329(f257(x100761,x100762),f525(x100763,x100764,x100761,x100765,x100762)),x100765)),x100764)) % 166.45/166.23 [10096]~P1(f329(f329(f331(f912(x100961,x100961)),f329(f329(f257(x100961,x100961),x100965),x100964)),f329(f329(f186(f912(x100961,x100961),a900),f329(a117,x100963)),x100962)))+P1(f329(f329(f331(f912(x100961,x100961)),f329(f329(f257(x100961,x100961),f625(x100962,x100963,x100964,x100965,x100961)),x100964)),x100962)) % 166.45/166.23 [10099]~P1(f329(f329(f331(f912(x100991,x100991)),f329(f329(f257(x100991,x100991),x100995),x100994)),f329(f329(f186(f912(x100991,x100991),a900),f329(a117,x100993)),x100992)))+P1(f329(f329(f331(f912(x100991,x100991)),f329(f329(f257(x100991,x100991),f624(x100992,x100993,x100994,x100995,x100991)),x100994)),f329(f329(f186(f912(x100991,x100991),a900),x100993),x100992))) % 166.45/166.23 [10100]~P1(f329(f329(f331(f912(x101001,x101001)),f329(f329(f257(x101001,x101001),x101005),x101004)),f329(f329(f186(f912(x101001,x101001),a900),f329(a117,x101003)),x101002)))+P1(f329(f329(f331(f912(x101001,x101001)),f329(f329(f257(x101001,x101001),f626(x101002,x101003,x101004,x101005,x101001)),x101004)),f329(f329(f186(f912(x101001,x101001),a900),x101003),x101002))) % 166.45/166.23 [10101]~P1(f329(f329(f331(f912(f906(x101011),f906(x101011))),f329(f329(f257(f906(x101011),f906(x101011)),x101015),f329(f329(f154(x101011),x101014),x101013))),f161(x101011,x101012)))+P1(f329(f329(f331(f912(x101011,x101011)),f329(f329(f257(x101011,x101011),f673(x101012,x101013,x101014,x101015,x101011)),x101014)),x101012)) % 166.45/166.23 [7679]~E(x76793,f191(f913(x76792,a900)))+E(f329(f329(f115(f913(x76791,a900)),f329(f329(f41(x76792,f913(x76791,a900)),x76793),x76794)),x76795),x76795) % 166.45/166.23 [7680]~E(x76803,f191(f913(x76802,a900)))+E(f329(f329(f106(f913(x76801,a900)),f329(f329(f42(x76802,f913(x76801,a900)),x76803),x76804)),x76805),x76805) % 166.45/166.23 [8117]~E(x81173,f191(f913(x81172,a900)))+E(f329(f329(f23(f913(x81171,a900)),f329(f329(f42(x81172,f913(x81171,a900)),x81173),x81174)),x81175),f329(f329(f23(f913(x81171,a900)),f247(f913(x81171,a900))),x81175)) % 166.45/166.23 [8252]E(f329(f329(f162(x82521,f329(f329(f137(x82521),x82522),x82523)),x82524),x82525),f329(f329(f137(x82521),f329(f329(f162(x82521,x82522),x82524),x82525)),x82523))+~P1(f329(f329(f240(a905),x82524),f329(f192(f906(x82521)),x82522))) % 166.45/166.23 [8525]E(f329(f329(f167(x85251),f329(f329(f157(a905,x85251),x85252),f142(a905,f329(f304(a905,x85253),x85254)))),x85255),f329(x85252,f329(f329(f82(a905),x85253),x85255)))+~P1(f329(f329(f240(a905),x85255),f329(f329(f23(a905),x85254),x85253))) % 166.45/166.23 [8539]E(x85391,f2(a104))+E(f126(x85392,x85393,f329(x85394,f329(f329(f23(a104),x85391),f80(a104))),f329(f329(f7(x85392,a104,f907(f909(x85393))),x85395),x85391)),f329(f200(x85392,x85393,x85394,x85395),x85391)) % 166.45/166.23 [8566]~E(x85663,f191(f913(x85661,a900)))+E(f329(f329(f41(x85661,f913(x85662,a900)),x85663),f329(f329(f8(f913(x85662,a900),f913(x85662,a900),x85661),f329(f115(f913(x85662,a900)),x85664)),x85665)),f191(f913(x85662,a900))) % 166.45/166.23 [8567]~E(x85673,f191(f913(x85671,a900)))+E(f329(f329(f42(x85671,f913(x85672,a900)),x85673),f329(f329(f8(f913(x85672,a900),f913(x85672,a900),x85671),f329(f23(f913(x85672,a900)),x85674)),x85675)),f247(f913(x85672,a900))) % 166.45/166.23 [8568]~E(x85683,f191(f913(x85681,a900)))+E(f329(f329(f42(x85681,f913(x85682,a900)),x85683),f329(f329(f8(f913(x85682,a900),f913(x85682,a900),x85681),f329(f106(f913(x85682,a900)),x85684)),x85685)),f247(f913(x85682,a900))) % 166.45/166.23 [8573]~P146(x85732)+E(f329(f329(f6(x85731,x85732),f329(f329(f8(x85732,x85732,x85731),f329(f83(x85732),x85733)),x85734)),x85735),f329(f329(f83(x85732),x85733),f329(f329(f6(x85731,x85732),x85734),x85735))) % 166.45/166.23 [8856]E(x88561,f191(f913(x88562,a900)))+E(f329(f329(f41(x88562,f913(x88563,a900)),x88561),f329(f329(f8(f913(x88563,a900),f913(x88563,a900),x88562),f329(f115(f913(x88563,a900)),x88564)),x88565)),f329(f329(f115(f913(x88563,a900)),x88564),f329(f329(f41(x88562,f913(x88563,a900)),x88561),x88565))) % 166.45/166.23 [8857]E(x88571,f191(f913(x88572,a900)))+E(f329(f329(f42(x88572,f913(x88573,a900)),x88571),f329(f329(f8(f913(x88573,a900),f913(x88573,a900),x88572),f329(f23(f913(x88573,a900)),x88574)),x88575)),f329(f329(f23(f913(x88573,a900)),x88574),f329(f329(f41(x88572,f913(x88573,a900)),x88571),x88575))) % 166.45/166.23 [8858]E(x88581,f191(f913(x88582,a900)))+E(f329(f329(f42(x88582,f913(x88583,a900)),x88581),f329(f329(f8(f913(x88583,a900),f913(x88583,a900),x88582),f329(f106(f913(x88583,a900)),x88584)),x88585)),f329(f329(f106(f913(x88583,a900)),x88584),f329(f329(f42(x88582,f913(x88583,a900)),x88581),x88585))) % 166.45/166.23 [9058]~P1(f329(f329(f240(a905),f329(x90584,x90582)),f329(x90584,x90583)))+P1(f329(f329(f331(f912(x90581,x90581)),f329(f329(f257(x90581,x90581),x90582),x90583)),f156(x90581,f329(f329(f154(f913(x90581,a905)),x90584),x90585)))) % 166.45/166.23 [9316]~P40(f913(x93165,a900),f913(x93161,a900),x93162)+P1(f329(f329(f239(f913(x93161,a900)),f329(f329(f115(f913(x93161,a900)),f329(x93162,x93163)),f329(x93162,x93164))),f329(x93162,f329(f329(f115(f913(x93165,a900)),x93163),x93164)))) % 166.45/166.23 [9333]~P24(x93332,x93331,x93333,f329(f329(f115(f913(x93332,a900)),x93334),x93335))+E(f329(f329(f106(f913(x93331,a900)),f329(f312(x93332,x93331,x93333),f329(f329(f23(f913(x93332,a900)),x93334),x93335))),f329(f312(x93332,x93331,x93333),f329(f329(f23(f913(x93332,a900)),x93335),x93334))),f191(f913(x93331,a900))) % 166.45/166.23 [9584]~P24(x95843,x95841,x95845,f247(f913(x95843,a900)))+E(f329(f74(x95841,x95842,x95843,f329(f74(x95843,x95842,x95841,x95844),f94(x95843,x95841,f247(f913(x95843,a900)),x95845))),x95845),x95844) % 166.45/166.23 [9615]~P1(f329(f329(f239(f913(x96153,a900)),f329(f288(x96151,x96153,x96154),x96152)),x96155))+P1(f329(f329(f239(f913(x96151,a900)),x96152),f329(f81(f913(x96151,a900)),f329(f288(x96153,x96151,f329(f289(x96151,x96153),x96154)),f329(f81(f913(x96153,a900)),x96155))))) % 166.45/166.23 [9640]~P24(x96401,x96402,x96403,f329(f329(f311(x96401),x96404),x96405))+~P1(f329(f329(f331(x96402),f329(x96403,x96404)),f329(f312(x96401,x96402,x96403),f329(f329(f23(f913(x96401,a900)),x96405),f329(f329(f311(x96401),x96404),f191(f913(x96401,a900))))))) % 166.45/166.23 [9692]P1(f329(f329(f239(f913(x96921,a900)),f329(f288(x96922,x96921,x96923),x96924)),x96925))+~P1(f329(f329(f239(f913(x96922,a900)),x96924),f329(f81(f913(x96922,a900)),f329(f288(x96921,x96922,f329(f289(x96922,x96921),x96923)),f329(f81(f913(x96921,a900)),x96925))))) % 166.45/166.23 [9767]~P89(x97671)+P1(f329(f329(f239(x97671),f329(f77(x97671),f329(f329(f23(x97671),f329(f329(f82(x97671),x97672),x97673)),f329(f329(f82(x97671),x97674),x97675)))),f329(f329(f82(x97671),f329(f77(x97671),f329(f329(f23(x97671),x97672),x97674))),f329(f77(x97671),f329(f329(f23(x97671),x97673),x97675))))) % 166.45/166.23 [9875]P1(f329(f329(f331(x98751),f433(x98752,x98753,x98754,x98751,x98755)),x98754))+P1(f329(f329(f239(f913(x98755,a900)),f329(f329(f41(x98751,f913(x98755,a900)),x98754),x98753)),x98752)) % 166.45/166.23 [10054]~P1(f329(f329(f239(f913(x100541,a900)),f329(x100544,f433(x100545,x100544,x100543,x100542,x100541))),x100545))+P1(f329(f329(f239(f913(x100541,a900)),f329(f329(f41(x100542,f913(x100541,a900)),x100543),x100544)),x100545)) % 166.45/166.23 [8684]E(f329(f329(f137(x86841),x86842),f329(f329(f162(x86841,x86843),f329(f329(f23(a905),x86844),f329(f192(f906(x86841)),x86842))),x86845)),f329(f329(f162(x86841,f329(f329(f137(x86841),x86842),x86843)),x86844),x86845))+P1(f329(f329(f240(a905),x86844),f329(f192(f906(x86841)),x86842))) % 166.45/166.23 [8711]~P145(x87111)+E(f329(f329(f82(x87111),f329(f329(f83(x87111),x87112),x87113)),f329(f329(f82(x87111),f329(f329(f83(x87111),x87114),x87113)),x87115)),f329(f329(f82(x87111),f329(f329(f83(x87111),f329(f329(f82(x87111),x87112),x87114)),x87113)),x87115)) % 166.45/166.23 [9287]~P146(x92871)+E(f329(f168(x92871),f329(f329(f157(x92872,x92871),f329(f329(f8(x92871,x92871,x92872),f329(f83(x92871),x92873)),x92874)),x92875)),f329(f329(f83(x92871),x92873),f329(f168(x92871),f329(f329(f157(x92872,x92871),x92874),x92875)))) % 166.45/166.23 [9458]E(f329(f192(f906(x94581)),f329(f329(f178(x94581),f329(f329(f237(a905),f329(f192(f906(x94581)),x94582)),f329(f192(f906(x94583)),x94584))),x94582)),f329(f192(f906(x94583)),f329(f329(f178(x94583),f329(f329(f237(a905),f329(f192(f906(x94581)),x94582)),f329(f192(f906(x94583)),x94584))),x94584)))+P1(f329(x94585,f329(f329(f184(x94581,x94583),x94582),x94584))) % 166.45/166.23 [9702]~P146(x97022)+E(f329(f329(f6(x97021,x97022),f329(f329(f7(x97021,x97022,x97022),f329(f329(f8(x97022,f913(x97022,x97022),x97021),f83(x97022)),x97023)),x97024)),x97025),f329(f329(f83(x97022),f329(f329(f6(x97021,x97022),x97023),x97025)),x97024)) % 166.45/166.23 [9703]~P71(x97032)+E(f329(f329(f6(x97031,x97032),f329(f329(f7(x97031,x97032,x97032),f329(f329(f8(x97032,f913(x97032,x97032),x97031),f292(x97032)),x97033)),x97034)),x97035),f329(f329(f292(x97032),f329(f329(f6(x97031,x97032),x97033),x97035)),x97034)) % 166.45/166.23 [9710]~P68(x97102)+E(f329(f329(f6(x97101,x97102),f329(f329(f18(x97101,x97102,x97102),f329(f329(f8(x97102,f913(x97102,x97102),x97101),f23(x97102)),x97103)),x97104)),x97105),f329(f329(f23(x97102),f329(f329(f6(x97101,x97102),x97103),x97105)),f329(f329(f6(x97101,x97102),x97104),x97105))) % 166.45/166.23 [9711]~P74(x97112)+E(f329(f329(f6(x97111,x97112),f329(f329(f18(x97111,x97112,x97112),f329(f329(f8(x97112,f913(x97112,x97112),x97111),f82(x97112)),x97113)),x97114)),x97115),f329(f329(f82(x97112),f329(f329(f6(x97111,x97112),x97113),x97115)),f329(f329(f6(x97111,x97112),x97114),x97115))) % 166.45/166.23 [9712]~P80(x97122)+E(f329(f329(f9(x97121,x97122),f329(f329(f18(x97121,x97122,x97122),f329(f329(f8(x97122,f913(x97122,x97122),x97121),f83(x97122)),x97123)),x97124)),x97125),f329(f329(f83(x97122),f329(f329(f9(x97121,x97122),x97123),x97125)),f329(f329(f9(x97121,x97122),x97124),x97125))) % 166.45/166.23 [9752]~E(x97523,f191(f913(x97521,a900)))+E(f329(f329(f41(x97521,f913(x97522,a900)),x97523),f329(f329(f7(x97521,f913(x97522,a900),f913(x97522,a900)),f329(f329(f8(f913(x97522,a900),f913(f913(x97522,a900),f913(x97522,a900)),x97521),f115(f913(x97522,a900))),x97524)),x97525)),f191(f913(x97522,a900))) % 166.45/166.23 [9753]~E(x97533,f191(f913(x97531,a900)))+E(f329(f329(f42(x97531,f913(x97532,a900)),x97533),f329(f329(f7(x97531,f913(x97532,a900),f913(x97532,a900)),f329(f329(f8(f913(x97532,a900),f913(f913(x97532,a900),f913(x97532,a900)),x97531),f23(f913(x97532,a900))),x97534)),x97535)),f247(f913(x97532,a900))) % 166.45/166.23 [9754]~E(x97543,f191(f913(x97541,a900)))+E(f329(f329(f42(x97541,f913(x97542,a900)),x97543),f329(f329(f7(x97541,f913(x97542,a900),f913(x97542,a900)),f329(f329(f8(f913(x97542,a900),f913(f913(x97542,a900),f913(x97542,a900)),x97541),f106(f913(x97542,a900))),x97544)),x97545)),f247(f913(x97542,a900))) % 166.45/166.23 [9775]E(x97751,f191(f913(x97752,a900)))+E(f329(f329(f41(x97752,f913(x97753,a900)),x97751),f329(f329(f7(x97752,f913(x97753,a900),f913(x97753,a900)),f329(f329(f8(f913(x97753,a900),f913(f913(x97753,a900),f913(x97753,a900)),x97752),f115(f913(x97753,a900))),x97754)),x97755)),f329(f329(f115(f913(x97753,a900)),f329(f329(f41(x97752,f913(x97753,a900)),x97751),x97754)),x97755)) % 166.45/166.23 [9776]E(x97761,f191(f913(x97762,a900)))+E(f329(f329(f42(x97762,f913(x97763,a900)),x97761),f329(f329(f7(x97762,f913(x97763,a900),f913(x97763,a900)),f329(f329(f8(f913(x97763,a900),f913(f913(x97763,a900),f913(x97763,a900)),x97762),f23(f913(x97763,a900))),x97764)),x97765)),f329(f329(f23(f913(x97763,a900)),f329(f329(f42(x97762,f913(x97763,a900)),x97761),x97764)),x97765)) % 166.45/166.23 [9777]E(x97771,f191(f913(x97772,a900)))+E(f329(f329(f42(x97772,f913(x97773,a900)),x97771),f329(f329(f7(x97772,f913(x97773,a900),f913(x97773,a900)),f329(f329(f8(f913(x97773,a900),f913(f913(x97773,a900),f913(x97773,a900)),x97772),f106(f913(x97773,a900))),x97774)),x97775)),f329(f329(f106(f913(x97773,a900)),f329(f329(f42(x97772,f913(x97773,a900)),x97771),x97774)),x97775)) % 166.45/166.23 [9338]~P1(f329(f329(f239(a905),x93381),x93384))+E(f329(f329(f23(a905),f329(f329(f82(a905),f329(f329(f83(a905),x93381),x93382)),x93383)),f329(f329(f82(a905),f329(f329(f83(a905),x93384),x93382)),x93385)),f329(f329(f23(a905),x93383),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x93384),x93381)),x93382)),x93385))) % 166.45/166.23 [9927]~P146(x99271)+E(f329(f168(x99271),f329(f329(f157(x99272,x99271),f329(f329(f7(x99272,x99271,x99271),f329(f329(f8(x99271,f913(x99271,x99271),x99272),f83(x99271)),x99273)),x99274)),x99275)),f329(f329(f83(x99271),f329(f168(x99271),f329(f329(f157(x99272,x99271),x99273),x99275))),x99274)) % 166.45/166.23 [9933]~P68(x99331)+E(f329(f168(x99331),f329(f329(f157(x99332,x99331),f329(f329(f18(x99332,x99331,x99331),f329(f329(f8(x99331,f913(x99331,x99331),x99332),f23(x99331)),x99333)),x99334)),x99335)),f329(f329(f23(x99331),f329(f168(x99331),f329(f329(f157(x99332,x99331),x99333),x99335))),f329(f168(x99331),f329(f329(f157(x99332,x99331),x99334),x99335)))) % 166.45/166.23 [9934]~P74(x99341)+E(f329(f168(x99341),f329(f329(f157(x99342,x99341),f329(f329(f18(x99342,x99341,x99341),f329(f329(f8(x99341,f913(x99341,x99341),x99342),f82(x99341)),x99343)),x99344)),x99345)),f329(f329(f82(x99341),f329(f168(x99341),f329(f329(f157(x99342,x99341),x99343),x99345))),f329(f168(x99341),f329(f329(f157(x99342,x99341),x99344),x99345)))) % 166.45/166.23 [10067]P1(f329(x100671,f329(f329(f184(x100672,x100673),x100674),x100675)))+~P1(f329(x100671,f329(f329(f184(x100672,x100673),f329(f329(f178(x100672),f329(f329(f237(a905),f329(f192(f906(x100672)),x100674)),f329(f192(f906(x100673)),x100675))),x100674)),f329(f329(f178(x100673),f329(f329(f237(a905),f329(f192(f906(x100672)),x100674)),f329(f192(f906(x100673)),x100675))),x100675)))) % 166.45/166.23 [10321]~P1(f329(f329(f331(f912(x103212,x103211)),f329(f329(f257(x103212,x103211),x103214),x103215)),f329(f289(x103211,x103212),x103213)))+P1(f329(f329(f248(x103211,x103212,f329(f329(f7(x103211,f913(f912(x103211,x103212),a900),f913(x103212,a900)),f329(f329(f8(f913(x103212,f913(f913(f912(x103211,x103212),a900),a900)),f913(f913(f912(x103211,x103212),a900),f913(x103212,a900)),x103211),f7(x103212,f913(f912(x103211,x103212),a900),a900)),f329(f329(f8(f913(x103212,f912(x103211,x103212)),f913(x103212,f913(f913(f912(x103211,x103212),a900),a900)),x103211),f329(f8(f912(x103211,x103212),f913(f913(f912(x103211,x103212),a900),a900),x103212),f331(f912(x103211,x103212)))),f257(x103211,x103212)))),x103213)),x103214),x103215)) % 166.45/166.23 [10333]P1(f329(f329(f331(f912(x103331,x103332)),f329(f329(f257(x103331,x103332),x103333),x103334)),f329(f289(x103332,x103331),x103335)))+~P1(f329(f329(f248(x103332,x103331,f329(f329(f7(x103332,f913(f912(x103332,x103331),a900),f913(x103331,a900)),f329(f329(f8(f913(x103331,f913(f913(f912(x103332,x103331),a900),a900)),f913(f913(f912(x103332,x103331),a900),f913(x103331,a900)),x103332),f7(x103331,f913(f912(x103332,x103331),a900),a900)),f329(f329(f8(f913(x103331,f912(x103332,x103331)),f913(x103331,f913(f913(f912(x103332,x103331),a900),a900)),x103332),f329(f8(f912(x103332,x103331),f913(f913(f912(x103332,x103331),a900),a900),x103331),f331(f912(x103332,x103331)))),f257(x103332,x103331)))),x103335)),x103333),x103334)) % 166.45/166.23 [9583]~P1(f329(f329(f239(a905),x95834),x95831))+E(f329(f329(f23(a905),f329(f329(f82(a905),f329(f329(f83(a905),x95831),x95832)),x95833)),f329(f329(f82(a905),f329(f329(f83(a905),x95834),x95832)),x95835)),f329(f329(f23(a905),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x95831),x95834)),x95832)),x95833)),x95835)) % 166.45/166.23 [10342]P23(x103421,x103422,f329(f312(a903,f904(x103421),f329(f329(f18(a903,f913(x103421,f913(a901,a900)),f904(x103421)),f329(f329(f18(a903,a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),f329(f329(f8(f913(x103421,f913(a901,a900)),f913(a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),a903),f93(x103421)),x103423)),a26)),x103424)),x103425))+~P23(x103421,f329(f329(f115(f913(f904(x103421),a900)),x103422),f329(f312(a903,f904(x103421),f329(f329(f18(a903,f913(x103421,f913(a901,a900)),f904(x103421)),f329(f329(f18(a903,a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),f329(f329(f8(f913(x103421,f913(a901,a900)),f913(a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),a903),f93(x103421)),x103423)),a26)),x103424)),x103425)),f329(f312(a903,f904(x103421),f329(f329(f18(a903,f913(x103421,f913(a901,a900)),f904(x103421)),f329(f329(f18(a903,a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),f329(f329(f8(f913(x103421,f913(a901,a900)),f913(a902,f913(f913(x103421,f913(a901,a900)),f904(x103421))),a903),f93(x103421)),x103423)),f329(f329(f8(f909(a902),a902,a903),f236(a902)),a27))),x103424)),x103425)) % 166.45/166.23 [5359]E(x53591,x53592)+~E(f29(x53593,x53594,x53591),f29(x53595,x53596,x53592)) % 166.45/166.23 [5360]E(x53601,x53602)+~E(f29(x53603,x53601,x53604),f29(x53605,x53602,x53606)) % 166.45/166.23 [5361]E(x53611,x53612)+~E(f29(x53611,x53613,x53614),f29(x53612,x53615,x53616)) % 166.45/166.23 [5362]E(x53621,x53622)+~E(f28(x53623,x53624,x53621),f28(x53625,x53626,x53622)) % 166.45/166.23 [5363]E(x53631,x53632)+~E(f28(x53633,x53631,x53634),f28(x53635,x53632,x53636)) % 166.45/166.23 [5364]E(x53641,x53642)+~E(f28(x53641,x53643,x53644),f28(x53642,x53645,x53646)) % 166.45/166.23 [7366]E(x73661,x73662)+~E(f224(x73663,x73664,x73665,x73661),f224(x73663,x73664,x73666,x73662)) % 166.45/166.23 [7367]E(x73671,x73672)+~E(f224(x73673,x73674,x73671,x73675),f224(x73673,x73674,x73672,x73676)) % 166.45/166.23 [8509]~P18(x85095,x85091,x85092,x85096)+E(f329(f74(x85091,x85091,x85091,f329(x85092,x85093)),f329(x85092,x85094)),f329(f74(x85091,x85091,x85091,f329(x85092,x85094)),f329(x85092,x85093))) % 166.45/166.23 [8752]~P59(x87524,x87525,x87522,x87521,x87526)+E(f329(x87521,f329(x87522,x87523)),x87523) % 166.45/166.23 [8907]P24(x89071,x89072,x89073,x89074)+~P24(x89071,x89075,f329(f74(x89072,x89075,x89071,x89076),x89073),x89074) % 166.45/166.23 [8976]~E(x89766,x89764)+E(f329(f76(x89761,x89762,x89763,x89764,x89765),x89766),x89765) % 166.45/166.23 [8983]E(x89831,x89832)+E(f329(f76(x89833,x89834,x89835,x89832,x89836),x89831),f329(x89835,x89831)) % 166.45/166.23 [8995]~P24(x89954,x89952,f329(f74(x89951,x89952,x89954,x89953),x89955),x89956)+P24(x89951,x89952,x89953,f329(f312(x89954,x89951,x89955),x89956)) % 166.45/166.23 [9713]P1(f329(f63(x97131),x97132))+~P1(f329(f68(x97131,x97133,x97134,x97135,x97132),x97136)) % 166.45/166.23 [9722]~P1(f329(f329(f331(x97224),x97223),f302(x97224,x97225,x97221,x97222,x97226)))+P1(f329(f329(x97221,x97222),x97223)) % 166.45/166.23 [9723]~P1(f329(f329(f331(x97234),x97233),f299(x97234,x97231,x97235,x97232,x97236)))+P1(f329(f329(x97231,x97232),x97233)) % 166.45/166.23 [9724]~P1(f329(f329(f331(x97244),x97242),f302(x97244,x97241,x97245,x97246,x97243)))+P1(f329(f329(x97241,x97242),x97243)) % 166.45/166.23 [9725]~P1(f329(f329(f331(x97254),x97252),f299(x97254,x97255,x97251,x97256,x97253)))+P1(f329(f329(x97251,x97252),x97253)) % 166.45/166.23 [5866]E(x58661,x58662)+~E(f329(f329(f257(x58663,x58664),x58665),x58661),f329(f329(f257(x58663,x58664),x58666),x58662)) % 166.45/166.23 [5868]E(x58681,x58682)+~E(f329(f329(f257(x58683,x58684),x58681),x58685),f329(f329(f257(x58683,x58684),x58682),x58686)) % 166.45/166.23 [6001]~P15(x60015,x60016,x60011)+E(f329(f329(x60011,x60012),f329(f329(x60011,x60013),x60014)),f329(f329(x60011,x60013),f329(f329(x60011,x60012),x60014))) % 166.45/166.23 [7434]~P32(x74344,x74341,f329(f329(f154(x74344),x74342),x74345),f329(f329(f154(x74344),x74343),x74346))+P1(f329(f329(x74341,x74342),x74343)) % 166.45/166.23 [7795]P32(x77951,x77952,x77953,x77954)+~P32(x77951,x77952,f329(f329(f154(x77951),x77955),x77953),f329(f329(f154(x77951),x77956),x77954)) % 166.45/166.23 [8847]~P59(x88475,x88471,x88472,x88476,x88474)+P1(f329(f329(f331(x88471),f329(x88472,x88473)),x88474)) % 166.45/166.23 [9024]E(f329(f78(x90241,x90242,x90243,x90244,x90245),x90246),f329(x90243,x90246))+P1(f329(f329(f331(x90241),x90246),x90245)) % 166.45/166.23 [9047]~E(x90473,f329(f329(f154(x90471),x90475),x90476))+P1(f329(f329(f331(f912(f906(x90471),f906(x90471))),f329(f329(f257(f906(x90471),f906(x90471)),x90472),f329(f329(f137(x90471),x90472),x90473))),f150(x90471,x90474))) % 166.45/166.23 [9052]E(f329(f78(x90521,x90522,x90523,x90524,x90525),x90526),f329(x90524,x90526))+~P1(f329(f329(f331(x90521),x90526),x90525)) % 166.45/166.23 [9293]~P34(x92931,x92932,x92933,x92935,x92936)+P34(x92931,x92932,x92933,f329(f329(f178(x92931),x92934),x92935),f329(f329(f178(x92932),x92934),x92936)) % 166.45/166.23 [9294]~P34(x92941,x92942,x92943,x92945,x92946)+P34(x92941,x92942,x92943,f329(f329(f141(x92941),x92944),x92945),f329(f329(f141(x92942),x92944),x92946)) % 166.45/166.23 [9549]E(f329(f312(x95491,x95492,f76(x95491,x95492,x95493,x95494,x95495)),x95496),f329(f312(x95491,x95492,x95493),x95496))+P1(f329(f329(f331(x95491),x95494),x95496)) % 166.45/166.23 [9552]E(f329(f329(f157(x95521,x95522),f76(x95521,x95522,x95523,x95524,x95525)),x95526),f329(f329(f157(x95521,x95522),x95523),x95526))+P1(f329(f329(f331(x95521),x95524),f329(f175(x95521),x95526))) % 166.45/166.23 [9787]~P22(x97874,x97872,x97875,x97873,x97876,x97871)+E(f329(x97871,f191(f913(x97872,a900))),x97873) % 166.45/166.23 [10019]~E(f329(x100194,f329(f256(x100191,x100193),x100195)),f329(x100196,f329(f256(x100191,x100193),x100195)))+E(f329(f263(x100191,x100192,x100193,x100193,x100194,f33(x100193)),x100195),f329(f263(x100191,x100192,x100193,x100193,x100196,f33(x100193)),x100195)) % 166.45/166.23 [10020]~E(f329(x100204,f329(f261(x100201,x100202),x100205)),f329(x100206,f329(f261(x100201,x100202),x100205)))+E(f329(f263(x100201,x100201,x100202,x100203,f33(x100201),x100204),x100205),f329(f263(x100201,x100201,x100202,x100203,f33(x100201),x100206),x100205)) % 166.45/166.23 [10063]~E(f329(f263(x100632,x100636,x100633,x100633,x100631,f33(x100633)),x100634),f329(f263(x100632,x100636,x100633,x100633,x100635,f33(x100633)),x100634))+E(f329(x100631,f329(f256(x100632,x100633),x100634)),f329(x100635,f329(f256(x100632,x100633),x100634))) % 166.45/166.23 [10064]~E(f329(f263(x100642,x100642,x100643,x100646,f33(x100642),x100641),x100644),f329(f263(x100642,x100642,x100643,x100646,f33(x100642),x100645),x100644))+E(f329(x100641,f329(f261(x100642,x100643),x100644)),f329(x100645,f329(f261(x100642,x100643),x100644))) % 166.45/166.23 [8945]P1(f329(f329(f331(x89451),x89452),x89453))+~P1(f329(f329(f331(f912(x89451,x89454)),f329(f329(f257(x89451,x89454),x89452),x89455)),f329(f329(f259(x89451,x89454),x89453),x89456))) % 166.45/166.23 [8959]P1(f329(f329(f331(x89591),x89592),f329(x89593,x89594)))+~P1(f329(f329(f331(f912(x89595,x89591)),f329(f329(f257(x89595,x89591),x89594),x89592)),f329(f329(f259(x89595,x89591),x89596),x89593))) % 166.45/166.23 [9407]P1(f329(f329(f331(f912(x94071,x94071)),f329(f329(f257(x94071,x94071),f329(x94072,x94073)),f329(x94072,x94074))),x94075))+~P1(f329(f329(f331(f912(x94076,x94076)),f329(f329(f257(x94076,x94076),x94073),x94074)),f329(f329(f290(x94071,x94076),x94075),x94072))) % 166.45/166.23 [9427]~P1(f329(f329(f331(f912(x94274,x94274)),f329(f329(f257(x94274,x94274),f329(x94276,x94272)),f329(x94276,x94273))),x94275))+P1(f329(f329(f331(f912(x94271,x94271)),f329(f329(f257(x94271,x94271),x94272),x94273)),f329(f329(f290(x94274,x94271),x94275),x94276))) % 166.45/166.23 [10066]E(f329(f329(f257(x100661,x100662),f665(x100663,x100664,x100665,x100666,x100662,x100661)),f670(x100663,x100664,x100665,x100666,x100662,x100661)),x100666)+~P1(f329(f329(f331(f912(x100661,x100662)),x100666),f329(f329(f291(x100661,x100665,x100662),x100664),x100663))) % 166.45/166.23 [10279]~P1(f329(f329(f331(f912(x102791,x102796)),x102795),f329(f329(f291(x102791,x102792,x102796),x102794),x102793)))+P1(f329(f329(f331(f912(x102791,x102792)),f329(f329(f257(x102791,x102792),f665(x102793,x102794,x102792,x102795,x102796,x102791)),f666(x102793,x102794,x102792,x102795,x102796,x102791))),x102794)) % 166.45/166.23 [10280]~P1(f329(f329(f331(f912(x102806,x102802)),x102805),f329(f329(f291(x102806,x102801,x102802),x102804),x102803)))+P1(f329(f329(f331(f912(x102801,x102802)),f329(f329(f257(x102801,x102802),f666(x102803,x102804,x102801,x102805,x102802,x102806)),f670(x102803,x102804,x102801,x102805,x102802,x102806))),x102803)) % 166.45/166.23 [7866]~P4(x78662)+E(f329(f329(f41(x78661,x78662),x78663),f329(f329(f7(x78661,x78664,x78662),x78665),x78666)),f329(f329(f329(f41(x78661,f913(x78664,x78662)),x78663),x78665),x78666)) % 166.45/166.23 [7867]~P4(x78672)+E(f329(f329(f42(x78671,x78672),x78673),f329(f329(f7(x78671,x78674,x78672),x78675),x78676)),f329(f329(f329(f42(x78671,f913(x78674,x78672)),x78673),x78675),x78676)) % 166.45/166.23 [8666]E(f329(f329(f41(x86661,f913(x86662,a900)),x86663),f329(f329(f8(f913(x86662,a900),f913(x86662,a900),x86661),f329(f311(x86662),x86664)),x86665)),f329(f329(f311(x86662),x86664),f329(f329(f41(x86661,f913(x86662,a900)),x86663),x86665)))+~P1(f329(f329(f331(x86661),x86666),x86663)) % 166.45/166.23 [9102]~P4(x91022)+E(f329(f329(f41(x91021,x91022),x91023),f329(f329(f8(f913(x91024,x91022),x91022,x91021),f329(f41(x91024,x91022),x91025)),f329(f7(x91024,x91021,x91022),x91026))),f329(f329(f41(x91024,x91022),x91025),f329(f329(f8(f913(x91021,x91022),x91022,x91024),f329(f41(x91021,x91022),x91023)),x91026))) % 166.45/166.23 [9103]~P4(x91032)+E(f329(f329(f42(x91031,x91032),x91033),f329(f329(f8(f913(x91034,x91032),x91032,x91031),f329(f42(x91034,x91032),x91035)),f329(f7(x91034,x91031,x91032),x91036))),f329(f329(f42(x91034,x91032),x91035),f329(f329(f8(f913(x91031,x91032),x91032,x91034),f329(f42(x91031,x91032),x91033)),x91036))) % 166.45/166.23 [9320]P1(f329(f329(f331(x93201),x93202),f329(f175(x93201),x93203)))+~P1(f329(f329(f331(f912(x93204,x93201)),f329(f329(f257(x93204,x93201),x93205),x93202)),f329(f175(f912(x93204,x93201)),f329(f329(f184(x93204,x93201),x93206),x93203)))) % 166.45/166.23 [9321]P1(f329(f329(f331(x93211),x93212),f329(f175(x93211),x93213)))+~P1(f329(f329(f331(f912(x93211,x93214)),f329(f329(f257(x93211,x93214),x93212),x93215)),f329(f175(f912(x93211,x93214)),f329(f329(f184(x93211,x93214),x93213),x93216)))) % 166.45/166.23 [9423]P1(f329(f329(f239(f913(x94231,a900)),f329(f288(x94232,x94231,x94233),x94234)),x94235))+~P1(f329(f329(f239(f913(f912(x94232,x94231),a900)),x94233),f329(f329(f259(x94232,x94231),x94236),f329(f16(f913(x94231,a900),x94232),x94235)))) % 166.45/166.23 [9428]~P25(x94284,x94282,x94285,f247(f913(x94284,a900)),f247(f913(x94282,a900)))+E(f329(f329(f42(x94281,f913(x94282,a900)),x94283),f329(f329(f8(f913(x94284,a900),f913(x94282,a900),x94281),f312(x94284,x94282,x94285)),x94286)),f329(f312(x94284,x94282,x94285),f329(f329(f42(x94281,f913(x94284,a900)),x94283),x94286))) % 166.45/166.23 [9618]P1(f329(f329(f331(f912(f906(x96181),f906(x96181))),f329(f329(f257(f906(x96181),f906(x96181)),f329(f329(f154(x96181),x96182),x96183)),f329(f329(f154(x96181),x96184),x96185))),f150(x96181,x96186)))+~P1(f329(f329(f331(f912(x96181,x96181)),f329(f329(f257(x96181,x96181),x96182),x96184)),x96186)) % 166.45/166.23 [10062]E(f329(f329(f257(x100621,x100622),f576(x100623,x100624,x100625,x100622,x100621,x100626)),f579(x100623,x100624,x100625,x100622,x100621,x100626)),x100626)+P1(f329(f329(f331(x100625),x100624),f329(f329(f262(x100621,x100622,f913(x100625,a900)),x100623),x100626))) % 166.45/166.23 [10068]E(f329(f329(f257(x100681,x100682),f577(x100683,x100684,x100682,x100681,x100685,x100686)),f578(x100683,x100684,x100682,x100681,x100685,x100686)),x100683)+~P1(f329(f329(f331(x100686),x100685),f329(f329(f262(x100681,x100682,f913(x100686,a900)),x100684),x100683))) % 166.45/166.23 [10230]P1(f329(f329(f331(x102301),x102302),f329(f329(x102303,f577(x102304,x102303,x102305,x102306,x102302,x102301)),f578(x102304,x102303,x102305,x102306,x102302,x102301))))+~P1(f329(f329(f331(x102301),x102302),f329(f329(f262(x102306,x102305,f913(x102301,a900)),x102303),x102304))) % 166.45/166.23 [10254]~P1(f329(f329(f331(x102541),x102542),f329(f329(x102545,f576(x102545,x102542,x102541,x102544,x102543,x102546)),f579(x102545,x102542,x102541,x102544,x102543,x102546))))+P1(f329(f329(f331(x102541),x102542),f329(f329(f262(x102543,x102544,f913(x102541,a900)),x102545),x102546))) % 166.45/166.23 [8556]E(x85561,x85562)+E(f329(f329(f162(x85563,f329(f329(f162(x85563,x85564),x85561),x85565)),x85562),x85566),f329(f329(f162(x85563,f329(f329(f162(x85563,x85564),x85562),x85566)),x85561),x85565)) % 166.45/166.23 [9677]~P1(f329(f329(f331(x96773),x96776),x96775))+E(f329(f329(f311(x96771),x96772),f329(f312(x96773,x96771,x96774),f329(f329(f23(f913(x96773,a900)),x96775),f329(f329(f311(x96773),x96776),f191(f913(x96773,a900)))))),f329(f312(x96773,x96771,f76(x96773,x96771,x96774,x96776,x96772)),x96775)) % 166.45/166.23 [9184]~P1(f329(f329(x91844,x91845),x91846))+P1(f329(f329(f329(f329(f115(f913(x91841,f913(x91842,a900))),x91843),x91844),x91845),x91846)) % 166.45/166.23 [9186]~P1(f329(f329(x91863,x91865),x91866))+P1(f329(f329(f329(f329(f115(f913(x91861,f913(x91862,a900))),x91863),x91864),x91865),x91866)) % 166.45/166.23 [9479]P1(f329(f329(x94791,x94792),x94793))+~P1(f329(f329(f329(f329(f106(f913(x94794,f913(x94795,a900))),x94796),x94791),x94792),x94793)) % 166.45/166.23 [9480]P1(f329(f329(x94801,x94802),x94803))+~P1(f329(f329(f329(f329(f106(f913(x94804,f913(x94805,a900))),x94801),x94806),x94802),x94803)) % 166.45/166.23 [9915]~P74(x99152)+E(f329(f329(f6(x99151,x99152),f329(f329(f7(x99151,f913(x99153,a900),x99152),f329(f329(f8(f913(x99153,x99152),f913(f913(x99153,a900),x99152),x99151),f6(x99153,x99152)),x99154)),x99155)),x99156),f329(f329(f6(f912(x99151,x99153),x99152),f329(f262(x99151,x99153,x99152),x99154)),f329(f329(f259(x99151,x99153),x99156),f329(f16(f913(x99153,a900),x99151),x99155)))) % 166.45/166.23 [9916]~P80(x99162)+E(f329(f329(f9(x99161,x99162),f329(f329(f7(x99161,f913(x99163,a900),x99162),f329(f329(f8(f913(x99163,x99162),f913(f913(x99163,a900),x99162),x99161),f9(x99163,x99162)),x99164)),x99165)),x99166),f329(f329(f9(f912(x99161,x99163),x99162),f329(f262(x99161,x99163,x99162),x99164)),f329(f329(f259(x99161,x99163),x99166),f329(f16(f913(x99163,a900),x99161),x99165)))) % 166.45/166.23 [10045]~P74(x100452)+E(f329(f329(f6(x100451,x100452),f329(f329(f7(x100451,f913(x100453,a900),x100452),f329(f329(f8(f913(x100453,x100452),f913(f913(x100453,a900),x100452),x100451),f6(x100453,x100452)),f329(f7(x100453,x100451,x100452),x100454))),x100455)),x100456),f329(f329(f6(x100453,x100452),f329(f329(f7(x100453,f913(x100451,a900),x100452),f329(f329(f8(f913(x100451,x100452),f913(f913(x100451,a900),x100452),x100453),f6(x100451,x100452)),x100454)),x100456)),x100455)) % 166.45/166.23 [10345]~P1(f329(f329(f331(f912(x103451,x103452)),f329(f329(f257(x103451,x103452),x103455),x103456)),f329(f329(f115(f913(f912(x103451,x103452),a900)),x103453),x103454)))+P1(f329(f329(f329(f329(f115(f913(x103451,f913(x103452,a900))),f329(f329(f7(x103451,f913(f912(x103451,x103452),a900),f913(x103452,a900)),f329(f329(f8(f913(x103452,f913(f913(f912(x103451,x103452),a900),a900)),f913(f913(f912(x103451,x103452),a900),f913(x103452,a900)),x103451),f7(x103452,f913(f912(x103451,x103452),a900),a900)),f329(f329(f8(f913(x103452,f912(x103451,x103452)),f913(x103452,f913(f913(f912(x103451,x103452),a900),a900)),x103451),f329(f8(f912(x103451,x103452),f913(f913(f912(x103451,x103452),a900),a900),x103452),f331(f912(x103451,x103452)))),f257(x103451,x103452)))),x103453)),f329(f329(f7(x103451,f913(f912(x103451,x103452),a900),f913(x103452,a900)),f329(f329(f8(f913(x103452,f913(f913(f912(x103451,x103452),a900),a900)),f913(f913(f912(x103451,x103452),a900),f913(x103452,a900)),x103451),f7(x103452,f913(f912(x103451,x103452),a900),a900)),f329(f329(f8(f913(x103452,f912(x103451,x103452)),f913(x103452,f913(f913(f912(x103451,x103452),a900),a900)),x103451),f329(f8(f912(x103451,x103452),f913(f913(f912(x103451,x103452),a900),a900),x103452),f331(f912(x103451,x103452)))),f257(x103451,x103452)))),x103454)),x103455),x103456)) % 166.45/166.23 [10346]~P1(f329(f329(f331(f912(x103461,x103462)),f329(f329(f257(x103461,x103462),x103465),x103466)),f329(f329(f106(f913(f912(x103461,x103462),a900)),x103463),x103464)))+P1(f329(f329(f329(f329(f106(f913(x103461,f913(x103462,a900))),f329(f329(f7(x103461,f913(f912(x103461,x103462),a900),f913(x103462,a900)),f329(f329(f8(f913(x103462,f913(f913(f912(x103461,x103462),a900),a900)),f913(f913(f912(x103461,x103462),a900),f913(x103462,a900)),x103461),f7(x103462,f913(f912(x103461,x103462),a900),a900)),f329(f329(f8(f913(x103462,f912(x103461,x103462)),f913(x103462,f913(f913(f912(x103461,x103462),a900),a900)),x103461),f329(f8(f912(x103461,x103462),f913(f913(f912(x103461,x103462),a900),a900),x103462),f331(f912(x103461,x103462)))),f257(x103461,x103462)))),x103463)),f329(f329(f7(x103461,f913(f912(x103461,x103462),a900),f913(x103462,a900)),f329(f329(f8(f913(x103462,f913(f913(f912(x103461,x103462),a900),a900)),f913(f913(f912(x103461,x103462),a900),f913(x103462,a900)),x103461),f7(x103462,f913(f912(x103461,x103462),a900),a900)),f329(f329(f8(f913(x103462,f912(x103461,x103462)),f913(x103462,f913(f913(f912(x103461,x103462),a900),a900)),x103461),f329(f8(f912(x103461,x103462),f913(f913(f912(x103461,x103462),a900),a900),x103462),f331(f912(x103461,x103462)))),f257(x103461,x103462)))),x103464)),x103465),x103466)) % 166.45/166.23 [10353]P1(f329(f329(f331(f912(x103531,x103532)),f329(f329(f257(x103531,x103532),x103533),x103534)),f329(f329(f115(f913(f912(x103531,x103532),a900)),x103535),x103536)))+~P1(f329(f329(f329(f329(f115(f913(x103531,f913(x103532,a900))),f329(f329(f7(x103531,f913(f912(x103531,x103532),a900),f913(x103532,a900)),f329(f329(f8(f913(x103532,f913(f913(f912(x103531,x103532),a900),a900)),f913(f913(f912(x103531,x103532),a900),f913(x103532,a900)),x103531),f7(x103532,f913(f912(x103531,x103532),a900),a900)),f329(f329(f8(f913(x103532,f912(x103531,x103532)),f913(x103532,f913(f913(f912(x103531,x103532),a900),a900)),x103531),f329(f8(f912(x103531,x103532),f913(f913(f912(x103531,x103532),a900),a900),x103532),f331(f912(x103531,x103532)))),f257(x103531,x103532)))),x103535)),f329(f329(f7(x103531,f913(f912(x103531,x103532),a900),f913(x103532,a900)),f329(f329(f8(f913(x103532,f913(f913(f912(x103531,x103532),a900),a900)),f913(f913(f912(x103531,x103532),a900),f913(x103532,a900)),x103531),f7(x103532,f913(f912(x103531,x103532),a900),a900)),f329(f329(f8(f913(x103532,f912(x103531,x103532)),f913(x103532,f913(f913(f912(x103531,x103532),a900),a900)),x103531),f329(f8(f912(x103531,x103532),f913(f913(f912(x103531,x103532),a900),a900),x103532),f331(f912(x103531,x103532)))),f257(x103531,x103532)))),x103536)),x103533),x103534)) % 166.45/166.23 [10354]P1(f329(f329(f331(f912(x103541,x103542)),f329(f329(f257(x103541,x103542),x103543),x103544)),f329(f329(f106(f913(f912(x103541,x103542),a900)),x103545),x103546)))+~P1(f329(f329(f329(f329(f106(f913(x103541,f913(x103542,a900))),f329(f329(f7(x103541,f913(f912(x103541,x103542),a900),f913(x103542,a900)),f329(f329(f8(f913(x103542,f913(f913(f912(x103541,x103542),a900),a900)),f913(f913(f912(x103541,x103542),a900),f913(x103542,a900)),x103541),f7(x103542,f913(f912(x103541,x103542),a900),a900)),f329(f329(f8(f913(x103542,f912(x103541,x103542)),f913(x103542,f913(f913(f912(x103541,x103542),a900),a900)),x103541),f329(f8(f912(x103541,x103542),f913(f913(f912(x103541,x103542),a900),a900),x103542),f331(f912(x103541,x103542)))),f257(x103541,x103542)))),x103545)),f329(f329(f7(x103541,f913(f912(x103541,x103542),a900),f913(x103542,a900)),f329(f329(f8(f913(x103542,f913(f913(f912(x103541,x103542),a900),a900)),f913(f913(f912(x103541,x103542),a900),f913(x103542,a900)),x103541),f7(x103542,f913(f912(x103541,x103542),a900),a900)),f329(f329(f8(f913(x103542,f912(x103541,x103542)),f913(x103542,f913(f913(f912(x103541,x103542),a900),a900)),x103541),f329(f8(f912(x103541,x103542),f913(f913(f912(x103541,x103542),a900),a900),x103542),f331(f912(x103541,x103542)))),f257(x103541,x103542)))),x103546)),x103543),x103544)) % 166.45/166.23 [10340]~P1(f329(f329(f331(f912(x103402,x103403)),f329(f329(f257(x103402,x103403),x103405),x103406)),f329(f329(f41(x103401,f913(f912(x103402,x103403),a900)),f247(f913(x103401,a900))),x103404)))+P1(f329(f329(f329(f329(f41(x103401,f913(x103402,f913(x103403,a900))),f247(f913(x103401,a900))),f329(f329(f8(f913(f912(x103402,x103403),a900),f913(x103402,f913(x103403,a900)),x103401),f329(f7(x103402,f913(f912(x103402,x103403),a900),f913(x103403,a900)),f329(f329(f8(f913(x103403,f913(f913(f912(x103402,x103403),a900),a900)),f913(f913(f912(x103402,x103403),a900),f913(x103403,a900)),x103402),f7(x103403,f913(f912(x103402,x103403),a900),a900)),f329(f329(f8(f913(x103403,f912(x103402,x103403)),f913(x103403,f913(f913(f912(x103402,x103403),a900),a900)),x103402),f329(f8(f912(x103402,x103403),f913(f913(f912(x103402,x103403),a900),a900),x103403),f331(f912(x103402,x103403)))),f257(x103402,x103403))))),x103404)),x103405),x103406)) % 166.45/166.23 [10341]~P1(f329(f329(f331(f912(x103412,x103413)),f329(f329(f257(x103412,x103413),x103415),x103416)),f329(f329(f42(x103411,f913(f912(x103412,x103413),a900)),f247(f913(x103411,a900))),x103414)))+P1(f329(f329(f329(f329(f42(x103411,f913(x103412,f913(x103413,a900))),f247(f913(x103411,a900))),f329(f329(f8(f913(f912(x103412,x103413),a900),f913(x103412,f913(x103413,a900)),x103411),f329(f7(x103412,f913(f912(x103412,x103413),a900),f913(x103413,a900)),f329(f329(f8(f913(x103413,f913(f913(f912(x103412,x103413),a900),a900)),f913(f913(f912(x103412,x103413),a900),f913(x103413,a900)),x103412),f7(x103413,f913(f912(x103412,x103413),a900),a900)),f329(f329(f8(f913(x103413,f912(x103412,x103413)),f913(x103413,f913(f913(f912(x103412,x103413),a900),a900)),x103412),f329(f8(f912(x103412,x103413),f913(f913(f912(x103412,x103413),a900),a900),x103413),f331(f912(x103412,x103413)))),f257(x103412,x103413))))),x103414)),x103415),x103416)) % 166.45/166.23 [10350]P1(f329(f329(f331(f912(x103501,x103502)),f329(f329(f257(x103501,x103502),x103503),x103504)),f329(f329(f41(x103505,f913(f912(x103501,x103502),a900)),f247(f913(x103505,a900))),x103506)))+~P1(f329(f329(f329(f329(f41(x103505,f913(x103501,f913(x103502,a900))),f247(f913(x103505,a900))),f329(f329(f8(f913(f912(x103501,x103502),a900),f913(x103501,f913(x103502,a900)),x103505),f329(f7(x103501,f913(f912(x103501,x103502),a900),f913(x103502,a900)),f329(f329(f8(f913(x103502,f913(f913(f912(x103501,x103502),a900),a900)),f913(f913(f912(x103501,x103502),a900),f913(x103502,a900)),x103501),f7(x103502,f913(f912(x103501,x103502),a900),a900)),f329(f329(f8(f913(x103502,f912(x103501,x103502)),f913(x103502,f913(f913(f912(x103501,x103502),a900),a900)),x103501),f329(f8(f912(x103501,x103502),f913(f913(f912(x103501,x103502),a900),a900),x103502),f331(f912(x103501,x103502)))),f257(x103501,x103502))))),x103506)),x103503),x103504)) % 166.45/166.23 [10351]P1(f329(f329(f331(f912(x103511,x103512)),f329(f329(f257(x103511,x103512),x103513),x103514)),f329(f329(f42(x103515,f913(f912(x103511,x103512),a900)),f247(f913(x103515,a900))),x103516)))+~P1(f329(f329(f329(f329(f42(x103515,f913(x103511,f913(x103512,a900))),f247(f913(x103515,a900))),f329(f329(f8(f913(f912(x103511,x103512),a900),f913(x103511,f913(x103512,a900)),x103515),f329(f7(x103511,f913(f912(x103511,x103512),a900),f913(x103512,a900)),f329(f329(f8(f913(x103512,f913(f913(f912(x103511,x103512),a900),a900)),f913(f913(f912(x103511,x103512),a900),f913(x103512,a900)),x103511),f7(x103512,f913(f912(x103511,x103512),a900),a900)),f329(f329(f8(f913(x103512,f912(x103511,x103512)),f913(x103512,f913(f913(f912(x103511,x103512),a900),a900)),x103511),f329(f8(f912(x103511,x103512),f913(f913(f912(x103511,x103512),a900),a900),x103512),f331(f912(x103511,x103512)))),f257(x103511,x103512))))),x103516)),x103513),x103514)) % 166.45/166.23 [7542]E(f329(x75421,f329(x75422,x75423)),f329(x75424,x75423))+~E(f329(f74(x75425,x75426,x75427,x75421),x75422),x75424) % 166.45/166.23 [9693]E(x96931,x96932)+E(f76(x96933,x96934,f76(x96933,x96934,x96935,x96931,x96936),x96932,x96937),f76(x96933,x96934,f76(x96933,x96934,x96935,x96932,x96937),x96931,x96936)) % 166.45/166.23 [9786]~P21(x97863,x97864,x97861,x97865,x97866,x97867)+E(f329(f329(x97861,x97862),x97862),x97862) % 166.45/166.23 [6105]~E(f329(f329(f157(x61051,x61055),x61056),x61052),f329(f329(f157(x61053,x61055),x61057),x61054))+E(f329(f192(f906(x61051)),x61052),f329(f192(f906(x61053)),x61054)) % 166.45/166.23 [8595]E(f329(x85951,f329(x85952,x85953)),f329(x85954,x85953))+~E(f329(f74(x85955,x85956,x85957,x85951),x85952),f329(f74(x85956,x85956,x85957,f33(x85956)),x85954)) % 166.45/166.23 [8934]~P34(x89344,x89345,x89341,f329(f329(f154(x89344),x89342),x89346),f329(f329(f154(x89345),x89343),x89347))+P1(f329(f329(x89341,x89342),x89343)) % 166.45/166.23 [9327]P34(x93271,x93272,x93273,x93274,x93275)+~P34(x93271,x93272,x93273,f329(f329(f154(x93271),x93276),x93274),f329(f329(f154(x93272),x93277),x93275)) % 166.45/166.23 [9949]P1(f329(f329(x99491,x99492),f531(x99493,x99492,x99494,x99491)))+~P1(f329(f329(f258(x99495,x99496,x99497,x99491,x99494),x99492),x99493)) % 166.45/166.23 [9971]P1(f329(f329(x99711,f531(x99712,x99713,x99711,x99714)),x99712))+~P1(f329(f329(f258(x99715,x99716,x99717,x99714,x99711),x99713),x99712)) % 166.45/166.23 [6151]E(x61511,x61512)+~E(f329(f329(f329(f93(x61513),x61514),x61515),x61511),f329(f329(f329(f93(x61513),x61516),x61517),x61512)) % 166.45/166.23 [6152]E(x61521,x61522)+~E(f329(f329(f329(f93(x61523),x61524),x61521),x61525),f329(f329(f329(f93(x61523),x61526),x61522),x61527)) % 166.45/166.23 [6153]E(x61531,x61532)+~E(f329(f329(f329(f93(x61533),x61531),x61534),x61535),f329(f329(f329(f93(x61533),x61532),x61536),x61537)) % 166.45/166.23 [9056]~P19(x90566,x90561,x90563,x90567)+E(f329(f74(x90561,x90561,x90562,f329(x90563,x90564)),f329(f74(x90561,x90561,x90562,f329(x90563,x90564)),x90565)),f329(f74(x90561,x90561,x90562,f329(x90563,x90564)),x90565)) % 166.45/166.23 [9431]~P34(x94313,x94312,x94314,f329(f329(f157(x94311,x94313),x94315),x94316),x94317)+P34(x94311,x94312,f329(f329(f8(x94313,f913(x94312,a900),x94311),x94314),x94315),x94316,x94317) % 166.45/166.23 [9455]P34(x94551,x94552,x94553,f329(f329(f157(x94554,x94551),x94555),x94556),x94557)+~P34(x94554,x94552,f329(f329(f8(x94551,f913(x94552,a900),x94554),x94553),x94555),x94556,x94557) % 166.45/166.23 [9055]~P1(f329(f329(f331(x90551),x90552),f329(f329(x90555,x90556),x90557)))+P1(f329(f329(f331(x90551),x90552),f329(f329(f262(x90553,x90554,f913(x90551,a900)),x90555),f329(f329(f257(x90553,x90554),x90556),x90557)))) % 166.45/166.23 [9349]P1(f329(f329(f329(x93491,x93492),x93493),x93494))+~P1(f329(f329(f329(f262(x93495,x93496,f913(x93497,a900)),x93491),f329(f329(f257(x93495,x93496),x93492),x93493)),x93494)) % 166.45/166.23 [9493]P1(f329(f329(f331(x94931),f329(f329(x94932,x94933),x94934)),f329(f312(f912(x94935,x94936),x94931,f329(f262(x94935,x94936,x94931),x94932)),x94937)))+~P1(f329(f329(f331(f912(x94935,x94936)),f329(f329(f257(x94935,x94936),x94933),x94934)),x94937)) % 166.45/166.23 [9834]P1(f329(f329(f331(f912(f906(x98341),f906(x98341))),f329(f329(f257(f906(x98341),f906(x98341)),f329(f329(f137(x98341),x98342),f329(f329(f154(x98341),x98343),x98344))),f329(f329(f137(x98341),x98342),f329(f329(f154(x98341),x98345),x98346)))),f150(x98341,x98347)))+~P1(f329(f329(f331(f912(x98341,x98341)),f329(f329(f257(x98341,x98341),x98343),x98345)),x98347)) % 166.45/166.23 [9899]~P34(x98991,x98993,x98994,x98996,f329(f329(f157(x98992,x98993),x98995),x98997))+P34(x98991,x98992,f329(f329(f7(x98991,f913(x98992,x98993),f913(x98992,a900)),f329(f329(f8(f913(x98993,a900),f913(f913(x98992,x98993),f913(x98992,a900)),x98991),f8(x98993,a900,x98992)),x98994)),x98995),x98996,x98997) % 166.45/166.23 [9975]P34(x99751,x99752,x99753,x99754,f329(f329(f157(x99755,x99752),x99756),x99757))+~P34(x99751,x99755,f329(f329(f7(x99751,f913(x99755,x99752),f913(x99755,a900)),f329(f329(f8(f913(x99752,a900),f913(f913(x99755,x99752),f913(x99755,a900)),x99751),f8(x99752,a900,x99755)),x99753)),x99756),x99754,x99757) % 166.45/166.23 [10266]P1(f329(f329(f331(x102661),f637(x102662,x102663,x102664,x102665,x102666,x102667,x102661)),x102665))+P1(f329(f329(f329(f329(f42(x102661,f913(x102667,f913(x102666,a900))),x102665),x102664),x102663),x102662)) % 166.45/166.23 [10267]P1(f329(f329(f331(x102671),f809(x102672,x102673,x102674,x102675,x102676,x102677,x102671)),x102677))+P1(f329(f329(f329(f329(f42(x102671,f913(x102673,f913(x102672,a900))),x102677),x102676),x102675),x102674)) % 166.45/166.23 [10268]P1(f329(f329(f331(x102681),f455(x102682,x102683,x102684,x102685,x102686,x102687,x102681)),x102685))+~P1(f329(f329(f329(f329(f41(x102681,f913(x102687,f913(x102686,a900))),x102685),x102684),x102683),x102682)) % 166.45/166.23 [10269]P1(f329(f329(f331(x102691),f810(x102692,x102693,x102694,x102695,x102696,x102697,x102691)),x102695))+~P1(f329(f329(f329(f329(f41(x102691,f913(x102697,f913(x102696,a900))),x102695),x102694),x102693),x102692)) % 166.45/166.23 [10301]P1(f329(f329(f329(x103011,f455(x103012,x103013,x103011,x103014,x103015,x103016,x103017)),x103013),x103012))+~P1(f329(f329(f329(f329(f41(x103017,f913(x103016,f913(x103015,a900))),x103014),x103011),x103013),x103012)) % 166.45/166.23 [10302]P1(f329(f329(f329(x103021,f810(x103022,x103023,x103021,x103024,x103025,x103026,x103027)),x103023),x103022))+~P1(f329(f329(f329(f329(f41(x103027,f913(x103026,f913(x103025,a900))),x103024),x103021),x103023),x103022)) % 166.45/166.23 [10318]~P1(f329(f329(f329(x103185,f637(x103187,x103186,x103185,x103184,x103183,x103182,x103181)),x103186),x103187))+P1(f329(f329(f329(f329(f42(x103181,f913(x103182,f913(x103183,a900))),x103184),x103185),x103186),x103187)) % 166.45/166.23 [10319]~P1(f329(f329(f329(x103195,f809(x103193,x103192,x103197,x103196,x103195,x103194,x103191)),x103196),x103197))+P1(f329(f329(f329(f329(f42(x103191,f913(x103192,f913(x103193,a900))),x103194),x103195),x103196),x103197)) % 166.45/166.23 [10339]~P1(f329(f329(f331(f912(x103391,x103393)),f329(f329(f257(x103391,x103393),x103396),x103397)),f329(f329(f291(x103391,x103392,x103393),x103394),x103395)))+P1(f329(f329(f258(x103391,x103392,x103393,f329(f329(f7(x103391,f913(f912(x103391,x103392),a900),f913(x103392,a900)),f329(f329(f8(f913(x103392,f913(f913(f912(x103391,x103392),a900),a900)),f913(f913(f912(x103391,x103392),a900),f913(x103392,a900)),x103391),f7(x103392,f913(f912(x103391,x103392),a900),a900)),f329(f329(f8(f913(x103392,f912(x103391,x103392)),f913(x103392,f913(f913(f912(x103391,x103392),a900),a900)),x103391),f329(f8(f912(x103391,x103392),f913(f913(f912(x103391,x103392),a900),a900),x103392),f331(f912(x103391,x103392)))),f257(x103391,x103392)))),x103394),f329(f329(f7(x103392,f913(f912(x103392,x103393),a900),f913(x103393,a900)),f329(f329(f8(f913(x103393,f913(f913(f912(x103392,x103393),a900),a900)),f913(f913(f912(x103392,x103393),a900),f913(x103393,a900)),x103392),f7(x103393,f913(f912(x103392,x103393),a900),a900)),f329(f329(f8(f913(x103393,f912(x103392,x103393)),f913(x103393,f913(f913(f912(x103392,x103393),a900),a900)),x103392),f329(f8(f912(x103392,x103393),f913(f913(f912(x103392,x103393),a900),a900),x103393),f331(f912(x103392,x103393)))),f257(x103392,x103393)))),x103395)),x103396),x103397)) % 166.45/166.23 [10349]P1(f329(f329(f331(f912(x103491,x103492)),f329(f329(f257(x103491,x103492),x103493),x103494)),f329(f329(f291(x103491,x103495,x103492),x103496),x103497)))+~P1(f329(f329(f258(x103491,x103495,x103492,f329(f329(f7(x103491,f913(f912(x103491,x103495),a900),f913(x103495,a900)),f329(f329(f8(f913(x103495,f913(f913(f912(x103491,x103495),a900),a900)),f913(f913(f912(x103491,x103495),a900),f913(x103495,a900)),x103491),f7(x103495,f913(f912(x103491,x103495),a900),a900)),f329(f329(f8(f913(x103495,f912(x103491,x103495)),f913(x103495,f913(f913(f912(x103491,x103495),a900),a900)),x103491),f329(f8(f912(x103491,x103495),f913(f913(f912(x103491,x103495),a900),a900),x103495),f331(f912(x103491,x103495)))),f257(x103491,x103495)))),x103496),f329(f329(f7(x103495,f913(f912(x103495,x103492),a900),f913(x103492,a900)),f329(f329(f8(f913(x103492,f913(f913(f912(x103495,x103492),a900),a900)),f913(f913(f912(x103495,x103492),a900),f913(x103492,a900)),x103495),f7(x103492,f913(f912(x103495,x103492),a900),a900)),f329(f329(f8(f913(x103492,f912(x103495,x103492)),f913(x103492,f913(f913(f912(x103495,x103492),a900),a900)),x103495),f329(f8(f912(x103495,x103492),f913(f913(f912(x103495,x103492),a900),a900),x103492),f331(f912(x103495,x103492)))),f257(x103495,x103492)))),x103497)),x103493),x103494)) % 166.45/166.23 [10278]~P146(x102782)+E(f329(f329(f6(x102781,x102782),f329(f329(f7(x102781,f913(x102783,a900),x102782),f329(f329(f8(f913(x102783,x102782),f913(f913(x102783,a900),x102782),x102781),f6(x102783,x102782)),f329(f329(f7(x102781,f913(x102783,x102782),f913(x102783,x102782)),f329(f329(f8(f913(x102782,x102782),f913(f913(x102783,x102782),f913(x102783,x102782)),x102781),f8(x102782,x102782,x102783)),f329(f329(f8(x102782,f913(x102782,x102782),x102781),f83(x102782)),x102784))),x102785))),x102786)),x102787),f329(f329(f83(x102782),f329(f329(f6(x102781,x102782),x102784),x102787)),f329(f329(f6(x102783,x102782),x102785),x102786))) % 166.45/166.23 [9381]~P18(x93817,x93811,x93813,x93818)+E(f329(f74(x93811,x93811,x93812,f329(x93813,x93814)),f329(f74(x93811,x93811,x93812,f329(x93813,x93815)),x93816)),f329(f74(x93811,x93811,x93812,f329(x93813,x93815)),f329(f74(x93811,x93811,x93812,f329(x93813,x93814)),x93816))) % 166.45/166.23 [10343]E(f329(f329(f257(x103431,x103432),f329(x103433,f554(x103434,x103435,x103433,x103436,x103437,x103438,x103432,x103431))),f329(x103435,f557(x103434,x103435,x103433,x103436,x103437,x103438,x103432,x103431))),x103438)+~P1(f329(f329(f331(f912(x103431,x103432)),x103438),f329(f312(f912(x103437,x103436),f912(x103431,x103432),f263(x103437,x103431,x103436,x103432,x103433,x103435)),x103434))) % 166.45/166.23 [10359]~P1(f329(f329(f331(f912(x103598,x103597)),x103596),f329(f312(f912(x103591,x103592),f912(x103598,x103597),f263(x103591,x103598,x103592,x103597,x103595,x103594)),x103593)))+P1(f329(f329(f331(f912(x103591,x103592)),f329(f329(f257(x103591,x103592),f554(x103593,x103594,x103595,x103592,x103591,x103596,x103597,x103598)),f557(x103593,x103594,x103595,x103592,x103591,x103596,x103597,x103598))),x103593)) % 166.45/166.23 [9823]P1(f329(f329(f331(f912(f912(x98231,x98232),f912(x98231,x98232))),f329(f329(f257(f912(x98231,x98232),f912(x98231,x98232)),f329(f329(f257(x98231,x98232),x98233),x98234)),f329(f329(f257(x98231,x98232),x98235),x98236))),f322(x98231,x98232,x98237,x98238)))+~P1(f329(f329(f331(f912(x98231,x98231)),f329(f329(f257(x98231,x98231),x98233),x98235)),x98237)) % 166.45/166.23 [10332]E(f329(f145(x103321,x103322,f329(f7(x103322,x103321,x103321),x103323),f329(x103324,x103325)),x103326),f329(x103324,f329(f145(x103327,x103322,f329(f7(x103322,x103327,x103327),x103328),x103325),x103326)))+P1(f329(f329(f331(x103322),f758(x103325,x103328,x103324,x103323,x103327,x103321,x103326,x103322)),f329(f175(x103322),x103326))) % 166.45/166.23 [10352]~E(f329(f74(x103521,x103521,x103527,f329(x103523,f758(x103525,x103528,x103524,x103523,x103527,x103521,x103526,x103522))),x103524),f329(f74(x103527,x103521,x103527,x103524),f329(x103528,f758(x103525,x103528,x103524,x103523,x103527,x103521,x103526,x103522))))+E(f329(f145(x103521,x103522,f329(f7(x103522,x103521,x103521),x103523),f329(x103524,x103525)),x103526),f329(x103524,f329(f145(x103527,x103522,f329(f7(x103522,x103527,x103527),x103528),x103525),x103526))) % 166.45/166.23 [8600]E(f329(x86001,f329(x86002,x86003)),f329(x86004,f329(x86005,x86003)))+~E(f329(f74(x86006,x86007,x86008,x86001),x86002),f329(f74(x86009,x86007,x86008,x86004),x86005)) % 166.45/166.23 [10193]P1(f329(f329(f331(f912(x101931,x101932)),f329(f329(f257(x101931,x101932),f329(x101933,x101934)),f329(x101935,x101936))),f329(f312(f912(x101937,x101938),f912(x101931,x101932),f263(x101937,x101931,x101938,x101932,x101933,x101935)),x101939)))+~P1(f329(f329(f331(f912(x101937,x101938)),f329(f329(f257(x101937,x101938),x101934),x101936)),x101939)) % 166.45/166.23 [8881]~E(f329(x88814,f329(x88815,x88816)),f329(x88819,f329(x888110,x888111)))+E(f329(f329(f74(x88811,x88812,x88813,x88814),x88815),x88816),f329(f329(f74(x88817,x88812,x88818,x88819),x888110),x888111)) % 166.45/166.23 [4674]~P105(x46741)+~P107(x46741)+E(f106(x46741),f237(x46741)) % 166.45/166.23 [4675]~P105(x46751)+~P106(x46751)+E(f115(x46751),f238(x46751)) % 166.45/166.23 [4925]~P117(x49251)+~P97(x49251)+E(f329(f77(x49251),f329(f108(x49251),a102)),f80(x49251)) % 166.45/166.23 [5215]E(x52151,f2(a1))+E(f84(a1,x52151),f329(f81(a1),f80(a1)))+P1(f329(f329(f240(a1),f2(a1)),x52151)) % 166.45/166.23 [5426]E(x54261,f2(a1))+E(f84(a1,x54261),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x54261)) % 166.45/166.23 [7438]~P41(x74381)+P1(f329(f63(a1),x74381))+~P1(f329(f63(a905),f329(f312(a1,a905,a109),x74381))) % 166.45/166.23 [9785]E(x97851,f191(f913(f912(a905,a905),a900)))+~P1(f329(f63(f912(a905,a905)),x97851))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f191(f913(f912(a905,a905),a900))),x97851)),a36)) % 166.45/166.23 [9950]E(x99501,f2(a905))+E(x99501,f329(a117,f2(a905)))+~P1(f329(f329(f240(a905),x99501),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.23 [10225]E(x102251,f2(a104))+E(f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a22,f329(f329(f38(a104),x102251),f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))),f80(a1)),f329(a22,x102251))+E(f47(a104,x102251,f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(a104)) % 166.45/166.23 [10072]E(x100721,f2(a104))+~E(f47(a104,x100721,f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(a104))+E(f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a22,f329(f329(f38(a104),x100721),f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(a22,x100721)) % 166.45/166.23 [4756]~P60(x47561,x47562)+P45(x47561,x47562)+~P46(a900) % 166.45/166.23 [4684]~P147(x46841)+P29(x46841,x46842)+~E(x46842,f2(x46841)) % 166.45/166.23 [4685]~P105(x46851)+P12(x46851,x46852)+~E(x46852,f118(x46851)) % 166.45/166.23 [4694]~P117(x46941)+~E(x46942,f2(x46941))+E(f84(x46941,x46942),f2(x46941)) % 166.45/166.23 [4695]~P94(x46951)+~E(x46952,f2(x46951))+E(f84(x46951,x46952),f2(x46951)) % 166.45/166.23 [4703]~P147(x47032)+~P29(x47032,x47031)+E(x47031,f2(x47032)) % 166.45/166.23 [4748]~P117(x47482)+~E(f84(x47482,x47481),f2(x47482))+E(x47481,f2(x47482)) % 166.45/166.23 [4763]~P3(x47632)+~P3(x47631)+P3(f913(x47631,x47632)) % 166.45/166.23 [4764]~P3(x47642)+~P3(x47641)+P3(f911(x47641,x47642)) % 166.45/166.23 [4765]~P3(x47652)+~P3(x47651)+P3(f912(x47651,x47652)) % 166.45/166.23 [4766]~P69(x47662)+~P69(x47661)+P69(f913(x47661,x47662)) % 166.45/166.23 [4767]~P69(x47672)+~P69(x47671)+P69(f911(x47671,x47672)) % 166.45/166.23 [4768]~P69(x47682)+~P69(x47681)+P69(f912(x47681,x47682)) % 166.45/166.23 [4769]~P5(x47692)+~P5(x47691)+P5(f198(x47691,x47692)) % 166.45/166.23 [4770]~P110(x47702)+~P110(x47701)+P110(f912(x47701,x47702)) % 166.45/166.23 [4897]~P105(x48971)+~P12(x48971,x48972)+P12(x48971,f155(x48971,x48972)) % 166.45/166.23 [5140]~P5(x51402)+~P5(x51401)+P5(f47(a1,x51401,x51402)) % 166.45/166.23 [4705]~P81(x47051)+~E(x47052,f2(x47051))+E(f329(f81(x47051),x47052),x47052) % 166.45/166.23 [4720]~P142(x47201)+~E(x47202,f2(a1))+E(f329(f107(x47201),x47202),f2(x47201)) % 166.45/166.23 [4721]~P96(x47211)+~E(x47212,f2(a1))+E(f329(f107(x47211),x47212),f2(x47211)) % 166.45/166.23 [4745]~P67(x47451)+~E(f2(x47451),x47452)+E(f329(f81(x47451),x47452),f2(x47451)) % 166.45/166.23 [4746]~P89(x47461)+~E(x47462,f2(x47461))+E(f329(f77(x47461),x47462),f2(x47461)) % 166.45/166.23 [4747]~P67(x47471)+~E(x47472,f2(x47471))+E(f329(f81(x47471),x47472),f2(x47471)) % 166.45/166.23 [4772]~P81(x47722)+E(x47721,f2(x47722))+~E(f329(f81(x47722),x47721),x47721) % 166.45/166.23 [4778]E(x47781,f329(a109,x47782))+~E(x47781,f2(a905))+~E(x47782,f329(f105(a1),x47781)) % 166.45/166.23 [4779]E(f329(a109,x47791),x47792)+~E(x47792,f2(a905))+~E(x47791,f329(f105(a1),x47792)) % 166.45/166.23 [4783]~P96(x47832)+E(x47831,f2(a1))+~E(f329(f107(x47832),x47831),f2(x47832)) % 166.45/166.23 [4787]~P89(x47872)+E(x47871,f2(x47872))+~E(f329(f77(x47872),x47871),f2(x47872)) % 166.45/166.23 [4788]~P67(x47882)+E(x47881,f2(x47882))+~E(f329(f81(x47882),x47881),f2(x47882)) % 166.45/166.23 [4789]~P67(x47891)+E(f2(x47891),x47892)+~E(f329(f81(x47891),x47892),f2(x47891)) % 166.45/166.23 [4972]~P105(x49721)+~P12(x49721,x49722)+P12(x49721,f329(f174(x49721),x49722)) % 166.45/166.23 [4999]~P1(x49992)+~P1(x49991)+P1(f329(f329(a327,x49991),x49992)) % 166.45/166.23 [5033]~E(f80(a905),f2(a905))+E(f329(f37(x50331),x50332),f2(a905))+~P1(f329(f63(x50331),x50332)) % 166.45/166.23 [5070]~P146(x50701)+~P121(x50701)+E(f329(f329(f249(x50701),f2(x50701)),f329(a117,x50702)),f2(x50701)) % 166.45/166.23 [5108]~P105(x51081)+P12(x51081,f142(x51081,x51082))+~P1(f329(f63(x51081),x51082)) % 166.45/166.23 [5109]~P105(x51091)+P12(x51091,f750(x51092,x51091))+~P1(f329(f63(x51091),x51092)) % 166.45/166.23 [5132]~P105(x51321)+E(f329(f175(x51321),f142(x51321,x51322)),x51322)+~P1(f329(f63(x51321),x51322)) % 166.45/166.23 [5133]~P105(x51331)+E(f329(f175(x51331),f750(x51332,x51331)),x51332)+~P1(f329(f63(x51331),x51332)) % 166.45/166.23 [5161]P1(x51611)+P1(x51612)+~P1(f329(f329(a328,x51612),x51611)) % 166.45/166.23 [5174]E(x51741,f191(f913(x51742,a900)))+~E(f329(f37(x51742),x51741),f2(a905))+~P1(f329(f63(x51742),x51741)) % 166.45/166.23 [5179]P1(x51791)+~P1(x51792)+~P1(f329(f329(a332,x51792),x51791)) % 166.45/166.23 [5233]~P79(x52331)+E(f329(f77(x52331),x52332),x52332)+P1(f329(f329(f240(x52331),x52332),f2(x52331))) % 166.45/166.23 [5234]~P4(x52342)+~P40(x52342,x52342,x52341)+E(f329(x52341,f101(x52342,x52341)),f101(x52342,x52341)) % 166.45/166.23 [5235]~P4(x52352)+~P40(x52352,x52352,x52351)+E(f329(x52351,f100(x52352,x52351)),f100(x52352,x52351)) % 166.45/166.23 [5296]~P3(x52962)+~P1(f329(f58(x52962),x52961))+P1(f329(x52961,f586(x52961,x52962))) % 166.45/166.23 [5297]~P3(x52972)+~P1(f329(f58(x52972),x52971))+P1(f329(x52971,f678(x52971,x52972))) % 166.45/166.23 [5337]E(x53371,f118(x53372))+P1(f329(f140(x53372),f119(x53372,x53371)))+~P1(f329(f140(x53372),x53371)) % 166.45/166.23 [5342]~P105(x53421)+~P1(f329(f63(x53421),x53422))+P1(f329(f140(x53421),f142(x53421,x53422))) % 166.45/166.23 [5343]~P105(x53431)+~P1(f329(f63(x53431),x53432))+P1(f329(f140(x53431),f750(x53432,x53431))) % 166.45/166.23 [5348]~P142(x53481)+E(f329(f105(x53481),f329(a109,x53482)),f329(f107(x53481),x53482))+P1(f329(f329(f240(a1),x53482),f2(a1))) % 166.45/166.23 [5375]P6(x53752,x53751)+E(f329(x53751,f485(x53751)),f329(x53751,f522(x53751)))+P1(f329(f329(x53751,f485(x53751)),f522(x53751))) % 166.45/166.23 [5388]E(f329(f105(a1),f389(x53881,x53882)),x53881)+P1(f329(x53882,f329(a109,x53881)))+~P1(f329(x53882,f2(a905))) % 166.45/166.23 [5400]~P3(x54001)+~P1(f329(x54002,f351(x54002,x54001)))+P1(f329(f59(x54001),x54002)) % 166.45/166.23 [5401]~P3(x54011)+~P1(f329(x54012,f372(x54012,x54011)))+P1(f329(f59(x54011),x54012)) % 166.45/166.23 [5436]~P117(x54361)+~E(f84(x54361,x54362),f329(f81(x54361),f80(x54361)))+P1(f329(f329(f240(x54361),x54362),f2(x54361))) % 166.45/166.23 [5509]~E(x55092,f2(a1))+E(f219(x55091,x55092),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55092),f2(a1))) % 166.45/166.23 [5510]~E(x55101,f2(a1))+E(f219(x55101,x55102),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55102),f2(a1))) % 166.45/166.23 [5560]E(f329(f105(a1),f389(x55601,x55602)),x55601)+P1(f329(x55602,f329(a109,x55601)))+P1(f329(f329(f240(a1),x55601),f2(a1))) % 166.45/166.23 [5627]~P117(x56271)+E(f84(x56271,x56272),f329(f81(x56271),f80(x56271)))+~P1(f329(f329(f240(x56271),x56272),f2(x56271))) % 166.45/166.23 [5628]~P89(x56281)+E(f329(f77(x56281),x56282),f329(f81(x56281),x56282))+~P1(f329(f329(f239(x56281),x56282),f2(x56281))) % 166.45/166.23 [5629]~P89(x56291)+E(f329(f77(x56291),x56292),f329(f81(x56291),x56292))+~P1(f329(f329(f240(x56291),x56292),f2(x56291))) % 166.45/166.23 [5630]~P79(x56301)+E(f329(f77(x56301),x56302),f329(f81(x56301),x56302))+~P1(f329(f329(f240(x56301),x56302),f2(x56301))) % 166.45/166.23 [5729]~P1(f329(x57291,f389(x57292,x57291)))+P1(f329(x57291,f329(a109,x57292)))+~P1(f329(x57291,f2(a905))) % 166.45/166.23 [5736]E(x57361,f2(a905))+E(f329(a117,f699(x57362,x57361)),x57361)+~P1(f329(f329(f240(a905),x57361),f329(a117,x57362))) % 166.45/166.23 [5740]P6(x57401,x57402)+~E(f329(x57402,f485(x57402)),f329(x57402,f522(x57402)))+~P1(f329(f329(x57402,f485(x57402)),f522(x57402))) % 166.45/166.23 [5759]~P105(x57591)+P12(x57591,x57592)+P1(f329(f329(f239(a905),f733(x57592,x57591)),f734(x57592,x57591))) % 166.45/166.23 [5760]~P105(x57601)+P12(x57601,x57602)+P1(f329(f329(f239(a905),f741(x57602,x57601)),f745(x57602,x57601))) % 166.45/166.23 [5846]~P89(x58461)+~E(x58462,f2(x58461))+P1(f329(f329(f239(x58461),f329(f77(x58461),x58462)),f2(x58461))) % 166.45/166.23 [5934]~P1(f329(x59341,f389(x59342,x59341)))+P1(f329(x59341,f329(a109,x59342)))+P1(f329(f329(f240(a1),x59342),f2(a1))) % 166.45/166.23 [5960]~P1(f329(x59601,f329(a109,x59602)))+P1(f329(x59601,f2(a905)))+~P1(f329(f329(f240(a1),x59602),f2(a1))) % 166.45/166.23 [6303]~P117(x63031)+~P1(f329(f329(f240(x63031),x63032),f2(x63031)))+P1(f329(f329(f240(x63031),f84(x63031,x63032)),f2(x63031))) % 166.45/166.23 [6416]~P117(x64161)+P1(f329(f329(f239(x64161),f329(f107(x64161),x64162)),f2(x64161)))+~P1(f329(f329(f239(a1),x64162),f2(a1))) % 166.45/166.23 [6417]~P117(x64171)+P1(f329(f329(f240(x64171),f329(f107(x64171),x64172)),f2(x64171)))+~P1(f329(f329(f240(a1),x64172),f2(a1))) % 166.45/166.23 [6425]~P89(x64252)+E(x64251,f2(x64252))+~P1(f329(f329(f239(x64252),f329(f77(x64252),x64251)),f2(x64252))) % 166.45/166.23 [6505]~P142(x65051)+~P1(f329(f329(f331(x65051),x65052),f114(x65051)))+P1(f329(f329(f331(x65051),f329(f81(x65051),x65052)),f114(x65051))) % 166.45/166.23 [6538]~P117(x65381)+~P1(f329(f329(f240(x65381),f84(x65381,x65382)),f2(x65381)))+P1(f329(f329(f240(x65381),x65382),f2(x65381))) % 166.45/166.23 [6713]~P117(x67132)+~P1(f329(f329(f239(x67132),f329(f107(x67132),x67131)),f2(x67132)))+P1(f329(f329(f239(a1),x67131),f2(a1))) % 166.45/166.23 [6714]~P117(x67142)+~P1(f329(f329(f240(x67142),f329(f107(x67142),x67141)),f2(x67142)))+P1(f329(f329(f240(a1),x67141),f2(a1))) % 166.45/166.23 [6797]~P4(x67971)+~P40(x67971,x67971,x67972)+P1(f329(f329(f239(x67971),f329(x67972,f101(x67971,x67972))),f101(x67971,x67972))) % 166.45/166.23 [6798]~P4(x67981)+~P40(x67981,x67981,x67982)+P1(f329(f329(f239(x67981),f329(x67982,f100(x67981,x67982))),f100(x67981,x67982))) % 166.45/166.23 [7209]~P81(x72091)+~P1(f329(f329(f239(x72091),x72092),f2(x72091)))+P1(f329(f329(f239(x72091),f329(f329(f82(x72091),x72092),x72092)),f2(x72091))) % 166.45/166.23 [7211]~P81(x72111)+~P1(f329(f329(f240(x72111),x72112),f2(x72111)))+P1(f329(f329(f240(x72111),f329(f329(f82(x72111),x72112),x72112)),f2(x72111))) % 166.45/166.23 [7212]~P117(x72121)+~P1(f329(f329(f240(x72121),x72122),f2(x72121)))+P1(f329(f329(f240(x72121),f329(f329(f82(x72121),x72122),x72122)),f2(x72121))) % 166.45/166.23 [7789]~P81(x77891)+~P1(f329(f329(f239(x77891),f329(f329(f82(x77891),x77892),x77892)),f2(x77891)))+P1(f329(f329(f239(x77891),x77892),f2(x77891))) % 166.45/166.23 [7790]~P81(x77901)+~P1(f329(f329(f240(x77901),f329(f329(f82(x77901),x77902),x77902)),f2(x77901)))+P1(f329(f329(f240(x77901),x77902),f2(x77901))) % 166.45/166.23 [7791]~P117(x77911)+~P1(f329(f329(f240(x77911),f329(f329(f82(x77911),x77912),x77912)),f2(x77911)))+P1(f329(f329(f240(x77911),x77912),f2(x77911))) % 166.45/166.23 [4824]~E(x48242,f2(a905))+~E(x48241,f2(a905))+E(f329(f329(f82(a905),x48241),x48242),f2(a905)) % 166.45/166.23 [4825]~E(x48252,f80(a905))+~E(x48251,f80(a905))+E(f329(f329(f83(a905),x48251),x48252),f80(a905)) % 166.45/166.23 [4826]~E(x48262,f80(a1))+~E(x48261,f80(a1))+E(f329(f329(f83(a1),x48261),x48262),f80(a1)) % 166.45/166.23 [4881]~P124(x48812)+E(x48811,f2(x48812))+E(f329(f329(f292(x48812),x48811),x48811),f80(x48812)) % 166.45/166.23 [4882]~P63(x48822)+E(x48821,f2(x48822))+E(f329(f329(f38(x48822),x48821),x48821),f80(x48822)) % 166.45/166.23 [4883]~P125(x48832)+E(x48831,f2(x48832))+E(f329(f329(f292(x48832),x48831),x48831),f80(x48832)) % 166.45/166.23 [4901]~P81(x49011)+~E(x49012,f2(x49011))+E(f329(f329(f82(x49011),x49012),x49012),f2(x49011)) % 166.45/166.23 [4904]~P144(x49041)+~E(x49042,f80(x49041))+E(f329(f329(f83(x49041),x49042),x49042),f80(x49041)) % 166.45/166.23 [4905]~P125(x49051)+~E(x49052,f2(x49051))+E(f329(f329(f292(x49051),x49052),x49052),f2(x49051)) % 166.45/166.23 [4950]~E(x49502,f2(a905))+~E(x49501,f2(a905))+E(f329(f81(a1),f329(f105(a1),x49501)),f329(f105(a1),x49502)) % 166.45/166.23 [4969]E(x49691,f80(a905))+E(x49692,f2(a905))+~E(f329(f329(f83(a905),x49692),x49691),x49692) % 166.45/166.23 [4981]E(x49811,f2(a905))+E(x49812,f2(a905))+~E(f329(f329(f83(a905),x49812),x49811),f2(a905)) % 166.45/166.23 [5008]~E(x50082,f2(a905))+~E(x50081,f329(a117,f2(a905)))+E(f329(f329(f82(a905),x50081),x50082),f329(a117,f2(a905))) % 166.45/166.23 [5009]~E(x50091,f2(a905))+~E(x50092,f329(a117,f2(a905)))+E(f329(f329(f82(a905),x50091),x50092),f329(a117,f2(a905))) % 166.45/166.23 [5016]E(x50161,f80(a1))+E(x50162,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50161),x50162),f80(a1)) % 166.45/166.23 [5017]E(x50171,f80(a1))+E(x50172,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50172),x50171),f80(a1)) % 166.45/166.23 [5018]E(x50181,f80(a1))+E(x50181,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50182),x50181),f80(a1)) % 166.45/166.23 [5020]E(x50201,f80(a1))+E(x50201,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50201),x50202),f80(a1)) % 166.45/166.23 [5042]~P81(x50422)+E(x50421,f2(x50422))+~E(f329(f329(f82(x50422),x50421),x50421),f2(x50422)) % 166.45/166.23 [5048]~E(x50481,f329(f108(a1),a102))+~E(x50482,f329(f108(a1),a102))+E(f329(f329(f83(a1),x50481),x50482),f80(a1)) % 166.45/166.23 [5059]E(x50591,f2(a905))+E(x50592,f2(a905))+~E(f329(f329(f82(a905),x50592),x50591),f329(a117,f2(a905))) % 166.45/166.23 [5069]~P70(x50691)+~P97(x50691)+E(f329(f329(f292(x50691),x50692),f329(f108(x50691),a85)),f2(x50691)) % 166.45/166.23 [5075]~P144(x50751)+~E(x50752,f329(f81(x50751),f80(x50751)))+E(f329(f329(f83(x50751),x50752),x50752),f80(x50751)) % 166.45/166.23 [5080]~P5(x50802)+~P5(x50801)+P5(f329(f329(f82(a1),x50801),x50802)) % 166.45/166.23 [5081]~P5(x50812)+~P5(x50811)+P5(f329(f329(f83(a1),x50811),x50812)) % 166.45/166.23 [5082]~P5(x50822)+~P5(x50821)+P5(f329(f329(f38(a1),x50821),x50822)) % 166.45/166.23 [5084]~E(x50842,f2(a1))+E(x50841,f2(a1))+E(f48(x50841,x50842),f329(f329(f257(a1,a1),f2(a1)),x50841)) % 166.45/166.23 [5106]~E(x51062,f329(a117,f2(a905)))+~E(x51061,f329(a117,f2(a905)))+E(f329(f329(f83(a905),x51061),x51062),f329(a117,f2(a905))) % 166.45/166.23 [5123]E(x51231,f2(a905))+E(x51232,f329(a117,f2(a905)))+~E(f329(f329(f249(a905),x51232),x51231),f329(a117,f2(a905))) % 166.45/166.23 [5124]E(x51241,f2(a905))+E(x51241,f329(a117,f2(a905)))+~E(f329(f329(f82(a905),x51242),x51241),f329(a117,f2(a905))) % 166.45/166.23 [5125]E(x51251,f2(a905))+E(x51251,f329(a117,f2(a905)))+~E(f329(f329(f82(a905),x51251),x51252),f329(a117,f2(a905))) % 166.45/166.23 [5134]~P70(x51341)+~P97(x51341)+E(f329(f329(f292(x51341),x51342),f329(f108(x51341),a102)),f329(f81(x51341),x51342)) % 166.45/166.23 [5153]E(x51531,f329(a109,x51532))+~E(x51531,f2(a905))+P1(f329(f329(f239(a1),f2(a1)),x51532)) % 166.45/166.23 [5154]E(f329(a109,x51541),x51542)+~E(x51542,f2(a905))+P1(f329(f329(f239(a1),f2(a1)),x51541)) % 166.45/166.23 [5170]E(x51701,f329(a117,f2(a905)))+E(x51702,f329(a117,f2(a905)))+~E(f329(f329(f82(a905),x51701),x51702),f329(a117,f2(a905))) % 166.45/166.23 [5181]~E(x51811,f329(a109,x51812))+E(x51811,f2(a905))+P1(f329(f329(f239(a1),f2(a1)),x51812)) % 166.45/166.23 [5182]~E(f329(a109,x51822),x51821)+E(x51821,f2(a905))+P1(f329(f329(f239(a1),f2(a1)),x51822)) % 166.45/166.23 [5208]~P2(x52081)+E(f329(f65(x52081,f106(x52081)),x52082),f10(x52081,x52082))+~P1(f329(f63(x52081),x52082)) % 166.45/166.23 [5209]~P2(x52091)+E(f329(f65(x52091,f115(x52091)),x52092),f13(x52091,x52092))+~P1(f329(f63(x52091),x52092)) % 166.45/166.23 [5210]~P105(x52101)+E(f329(f65(x52101,f237(x52101)),x52102),f14(x52101,x52102))+~P1(f329(f63(x52101),x52102)) % 166.45/166.23 [5211]~P105(x52111)+E(f329(f65(x52111,f238(x52111)),x52112),f15(x52111,x52112))+~P1(f329(f63(x52111),x52112)) % 166.45/166.23 [5291]E(x52911,x52912)+~E(f329(f329(f23(a905),x52912),x52911),f2(a905))+~E(f329(f329(f23(a905),x52911),x52912),f2(a905)) % 166.45/166.23 [5308]P5(x53081)+~P41(x53082)+~P1(f329(f329(f331(a1),x53081),x53082)) % 166.45/166.23 [5338]~P117(x53381)+~E(f84(x53381,x53382),f80(x53381))+P1(f329(f329(f240(x53381),f2(x53381)),x53382)) % 166.45/166.23 [5349]~P97(x53491)+E(f329(f105(x53491),f329(f108(a905),x53492)),f329(f108(x53491),x53492))+P1(f329(a196,f329(f108(a1),x53492))) % 166.45/166.23 [5354]~P45(x53541,x53542)+P46(a900)+P1(f329(f63(f912(x53541,x53541)),x53542)) % 166.45/166.23 [5428]~P105(x54281)+E(f329(f65(x54281,f237(x54281)),x54282),f11(x54281,f237(x54281),x54282))+~P1(f329(f63(x54281),x54282)) % 166.45/166.23 [5429]~P105(x54291)+E(f329(f65(x54291,f238(x54291)),x54292),f12(x54291,f238(x54291),x54292))+~P1(f329(f63(x54291),x54292)) % 166.45/166.23 [5443]E(x54431,x54432)+P1(f329(f329(f240(a905),x54432),x54431))+P1(f329(f329(f240(a905),x54431),x54432)) % 166.45/166.23 [5444]E(x54441,x54442)+P1(f329(f329(f240(a1),x54442),x54441))+P1(f329(f329(f240(a1),x54441),x54442)) % 166.45/166.23 [5496]~P97(x54961)+E(f329(f105(x54961),f329(f108(a905),x54962)),f2(x54961))+~P1(f329(a196,f329(f108(a1),x54962))) % 166.45/166.23 [5499]~E(x54992,f329(a109,x54991))+E(x54991,f329(f105(a1),x54992))+~P1(f329(f329(f239(a1),f2(a1)),x54991)) % 166.45/166.23 [5500]~E(f329(a109,x55001),x55002)+E(x55001,f329(f105(a1),x55002))+~P1(f329(f329(f239(a1),f2(a1)),x55001)) % 166.45/166.23 [5501]~E(x55011,f329(a109,x55012))+E(f329(f105(a1),x55011),x55012)+~P1(f329(f329(f239(a1),f2(a1)),x55012)) % 166.45/166.23 [5511]E(x55111,f329(a109,x55112))+~E(x55112,f329(f105(a1),x55111))+~P1(f329(f329(f239(a1),f2(a1)),x55112)) % 166.45/166.23 [5512]E(f329(a109,x55121),x55122)+~E(x55121,f329(f105(a1),x55122))+~P1(f329(f329(f239(a1),f2(a1)),x55121)) % 166.45/166.23 [5551]~P89(x55512)+E(x55511,f2(x55512))+P1(f329(f329(f240(x55512),f2(x55512)),f329(f77(x55512),x55511))) % 166.45/166.23 [5616]~P117(x56161)+E(f84(x56161,x56162),f80(x56161))+~P1(f329(f329(f240(x56161),f2(x56161)),x56162)) % 166.45/166.23 [5620]~P97(x56201)+E(f329(f105(x56201),f329(f108(a905),x56202)),f2(x56201))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x56202))) % 166.45/166.23 [5631]~P89(x56311)+E(f329(f77(x56311),x56312),x56312)+~P1(f329(f329(f239(x56311),f2(x56311)),x56312)) % 166.45/166.23 [5632]~P89(x56321)+E(f329(f77(x56321),x56322),x56322)+~P1(f329(f329(f240(x56321),f2(x56321)),x56322)) % 166.45/166.23 [5641]E(x56411,f2(a905))+~E(f142(a905,f329(f304(a905,x56412),x56411)),f118(a905))+P1(f329(f329(f239(a905),x56411),x56412)) % 166.45/166.23 [5651]~P74(x56511)+E(f329(f329(f6(x56511,x56511),f5(x56511)),f329(f175(x56511),x56512)),f329(f168(x56511),x56512))+~P1(f329(f140(x56511),x56512)) % 166.45/166.23 [5654]~P142(x56541)+E(f329(f105(x56541),f329(a109,x56542)),f329(f107(x56541),x56542))+~P1(f329(f329(f239(a1),f2(a1)),x56542)) % 166.45/166.23 [5681]E(x56811,x56812)+P1(f329(f329(f240(a905),x56811),x56812))+~P1(f329(f329(f239(a905),x56811),x56812)) % 166.45/166.23 [5682]E(x56821,x56822)+P1(f329(f329(f240(a1),x56821),x56822))+~P1(f329(f329(f239(a1),x56821),x56822)) % 166.45/166.23 [5685]E(x56851,f80(a1))+~E(f329(f329(f83(a1),x56852),x56851),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56852)) % 166.45/166.23 [5686]E(x56861,f80(a1))+~E(f329(f329(f83(a1),x56861),x56862),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56861)) % 166.45/166.23 [5726]~P41(x57262)+P1(f329(f329(f239(a1),f2(a1)),x57261))+~P1(f329(f329(f331(a1),x57261),x57262)) % 166.45/166.23 [5746]~P60(x57461,x57462)+P37(x57461,x57462)+~P1(f329(f63(f912(x57461,x57461)),x57462)) % 166.45/166.23 [5748]~P60(x57481,x57482)+P45(x57481,x57482)+~P1(f329(f63(f912(x57481,x57481)),x57482)) % 166.45/166.23 [5790]E(x57901,f191(f913(x57902,a900)))+~P1(f329(f63(x57902),x57901))+P1(f329(f329(f240(a905),f2(a905)),f329(f37(x57902),x57901))) % 166.45/166.23 [5817]~P1(f329(x58171,x58172))+P1(f329(x58171,f2(a905)))+P1(f329(f329(f240(a905),f892(x58172,x58171)),x58172)) % 166.45/166.23 [5840]E(x58401,f2(a905))+~E(f329(f168(a905),x58402),f2(a905))+~P1(f329(f329(f331(a905),x58401),f329(f175(a905),x58402))) % 166.45/166.23 [5906]E(x59061,x59062)+~P1(f329(f329(f239(a905),x59062),x59061))+~P1(f329(f329(f239(a905),x59061),x59062)) % 166.45/166.23 [5907]E(x59071,x59072)+~P1(f329(f329(f239(a1),x59072),x59071))+~P1(f329(f329(f239(a1),x59071),x59072)) % 166.45/166.23 [5909]E(f329(f37(x59091),x59092),f2(a905))+~P1(f329(f63(x59091),x59092))+P1(f329(f329(f331(x59091),f486(x59092,x59091)),x59092)) % 166.45/166.23 [5918]E(f52(x59181,x59182),f48(x59181,x59182))+P1(f329(f329(f239(a1),f2(a1)),x59181))+~P1(f329(f329(f240(a1),f2(a1)),x59182)) % 166.45/166.23 [5947]~P1(f329(x59471,f387(x59471)))+P1(f329(x59471,f329(a109,x59472)))+~P1(f329(f329(f239(a1),f2(a1)),x59472)) % 166.45/166.23 [5950]P1(f329(f329(f239(a905),x59501),f890(x59502)))+~P1(f329(f63(a905),x59502))+~P1(f329(f329(f331(a905),x59501),x59502)) % 166.45/166.23 [5951]P1(f329(f329(f240(a905),x59511),f885(x59512)))+~P1(f329(f63(a905),x59512))+~P1(f329(f329(f331(a905),x59511),x59512)) % 166.45/166.23 [5981]E(x59811,x59812)+~P1(f329(f329(f240(a905),x59811),f329(a117,x59812)))+P1(f329(f329(f240(a905),x59811),x59812)) % 166.45/166.23 [6013]E(x60131,f329(a117,x60132))+~P1(f329(f329(f239(a905),x60131),f329(a117,x60132)))+P1(f329(f329(f239(a905),x60131),x60132)) % 166.45/166.23 [6029]P1(f329(x60291,f388(x60291)))+~P1(f329(x60291,f329(a109,x60292)))+~P1(f329(f329(f239(a1),f2(a1)),x60292)) % 166.45/166.23 [6043]~P1(f329(x60431,x60432))+~P1(f329(f329(f239(a1),f2(a1)),x60432))+P1(f329(x60431,f329(f105(a1),f349(x60431)))) % 166.45/166.23 [6055]~P89(x60552)+~E(x60551,f2(x60552))+~P1(f329(f329(f240(x60552),f2(x60552)),f329(f77(x60552),x60551))) % 166.45/166.23 [6081]~P60(x60811,x60812)+P37(x60811,f329(f289(x60811,x60811),x60812))+~P1(f329(f63(f912(x60811,x60811)),x60812)) % 166.45/166.23 [6091]~P97(x60911)+E(f329(f105(x60911),f329(f108(a905),x60912)),f329(f108(x60911),x60912))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x60912))) % 166.45/166.23 [6095]E(f329(a117,x60951),x60952)+~P1(f329(f329(f240(a905),x60951),x60952))+P1(f329(f329(f240(a905),f329(a117,x60951)),x60952)) % 166.45/166.23 [6111]E(f329(f329(f38(a1),x61111),x61112),f2(a1))+~P1(f329(f329(f239(a1),x61111),f2(a1)))+~P1(f329(f329(f240(a1),x61112),x61111)) % 166.45/166.23 [6121]E(f47(a1,x61211,x61212),x61211)+~P1(f329(f329(f239(a1),x61211),f2(a1)))+~P1(f329(f329(f240(a1),x61212),x61211)) % 166.45/166.23 [6135]E(f49(x61351,x61352),f48(x61351,x61352))+~P1(f329(f329(f239(a1),f2(a1)),x61351))+~P1(f329(f329(f239(a1),f2(a1)),x61352)) % 166.45/166.23 [6145]E(f329(f329(f38(a1),x61451),x61452),f2(a1))+~P1(f329(f329(f239(a1),f2(a1)),x61451))+~P1(f329(f329(f240(a1),x61451),x61452)) % 166.45/166.23 [6157]E(f47(a905,f329(f108(a905),x61571),f329(f108(a905),x61572)),f329(f108(a905),x61571))+P1(f329(a196,f329(f108(a1),x61571)))+~P1(f329(a196,f329(f108(a1),x61572))) % 166.45/166.23 [6159]E(f47(a1,x61591,x61592),x61591)+~P1(f329(f329(f239(a1),f2(a1)),x61591))+~P1(f329(f329(f240(a1),x61591),x61592)) % 166.45/166.23 [6160]E(x61601,x61602)+~P1(f329(f329(f240(a905),x61601),f329(a117,x61602)))+~P1(f329(f329(f239(a905),x61602),x61601)) % 166.45/166.23 [6174]~P81(x61741)+~P1(f329(f329(f239(x61741),x61742),f2(x61741)))+P1(f329(f329(f239(x61741),x61742),f329(f81(x61741),x61742))) % 166.45/166.23 [6175]~P117(x61751)+~P1(f329(f329(f240(x61751),x61752),f2(x61751)))+P1(f329(f329(f240(x61751),x61752),f329(f81(x61751),x61752))) % 166.45/166.23 [6184]~P4(x61841)+E(f329(f329(f66(x61841,x61841,f106(x61841)),f247(x61841)),x61842),f40(x61841,x61842))+~P1(f329(f63(x61841),x61842)) % 166.45/166.23 [6185]~P4(x61851)+E(f329(f329(f66(x61851,x61851,f115(x61851)),f191(x61851)),x61852),f39(x61851,x61852))+~P1(f329(f63(x61851),x61852)) % 166.45/166.23 [6202]~P117(x62021)+~P1(f329(f329(f239(a1),f2(a1)),x62022))+P1(f329(f329(f239(x62021),f2(x62021)),f329(f107(x62021),x62022))) % 166.45/166.23 [6203]~P127(x62031)+~P1(f329(f329(f240(a905),f2(a905)),x62032))+P1(f329(f329(f240(x62031),f2(x62031)),f329(f105(x62031),x62032))) % 166.45/166.23 [6204]~P117(x62041)+~P1(f329(f329(f240(a1),f2(a1)),x62042))+P1(f329(f329(f240(x62041),f2(x62041)),f329(f107(x62041),x62042))) % 166.45/166.23 [6207]~P5(x62072)+~P5(x62071)+E(f329(f312(a905,a1,f105(a1)),f305(a905,f329(a109,x62071),f329(a109,x62072))),f305(a1,x62071,x62072)) % 166.45/166.23 [6213]P1(f329(x62131,x62132))+~P1(f329(f329(f239(a1),f2(a1)),x62132))+~P1(f329(x62131,f329(f105(a1),f353(x62131)))) % 166.45/166.23 [6243]E(f329(f329(f82(a905),f329(f108(a905),x62431)),f329(f108(a905),x62432)),f329(f108(a905),x62431))+P1(f329(f329(f240(a1),x62431),a85))+~P1(f329(f329(f240(a1),x62432),a85)) % 166.45/166.23 [6247]~P117(x62471)+P1(f329(f329(f240(x62471),f2(x62471)),f84(x62471,x62472)))+~P1(f329(f329(f240(x62471),f2(x62471)),x62472)) % 166.45/166.23 [6258]~P83(x62581)+~P1(f329(f329(f239(x62581),x62582),f2(x62581)))+P1(f329(f329(f239(x62581),f2(x62581)),f329(f81(x62581),x62582))) % 166.45/166.23 [6259]~P83(x62591)+~P1(f329(f329(f240(x62591),x62592),f2(x62591)))+P1(f329(f329(f240(x62591),f2(x62591)),f329(f81(x62591),x62592))) % 166.45/166.23 [6262]E(x62621,f247(f913(x62622,a900)))+~E(f329(f37(x62622),x62621),f329(f37(x62622),f247(f913(x62622,a900))))+~P1(f329(f63(x62622),f247(f913(x62622,a900)))) % 166.45/166.23 [6294]~P81(x62941)+P1(f329(f329(f239(x62941),x62942),f2(x62941)))+~P1(f329(f329(f239(x62941),x62942),f329(f81(x62941),x62942))) % 166.45/166.23 [6295]~P117(x62951)+P1(f329(f329(f240(x62951),x62952),f2(x62951)))+~P1(f329(f329(f240(x62951),x62952),f329(f81(x62951),x62952))) % 166.45/166.23 [6305]~P97(x63051)+P1(f329(f329(f331(x63051),f329(f108(x63051),x63052)),f189(x63051)))+~P1(f329(f329(f239(a1),a85),x63052)) % 166.45/166.23 [6334]E(x63341,f2(a905))+~P1(f329(f329(f240(a905),x63341),f329(a117,x63342)))+P1(f329(f329(f240(a905),f699(x63342,x63341)),x63342)) % 166.45/166.23 [6356]~P117(x63561)+~P1(f329(f329(f240(x63561),f2(x63561)),f84(x63561,x63562)))+P1(f329(f329(f240(x63561),f2(x63561)),x63562)) % 166.45/166.23 [6358]~E(f329(f108(a905),x63582),f329(f108(a905),x63581))+P1(f329(f329(f239(a1),f329(f108(a1),x63581)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x63582))) % 166.45/166.23 [6387]E(f329(f256(a1,a1),f52(x63871,x63872)),f329(f329(f38(a1),x63871),x63872))+~P1(f329(f329(f240(a1),x63871),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x63872)) % 166.45/166.23 [6423]E(f329(f261(a1,a1),f52(x64231,x64232)),f47(a1,x64231,x64232))+~P1(f329(f329(f240(a1),x64231),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x64232)) % 166.45/166.23 [6426]~P117(x64262)+~P1(f329(f329(f239(x64262),f2(x64262)),f329(f107(x64262),x64261)))+P1(f329(f329(f239(a1),f2(a1)),x64261)) % 166.45/166.23 [6427]~P127(x64272)+~P1(f329(f329(f240(x64272),f2(x64272)),f329(f105(x64272),x64271)))+P1(f329(f329(f240(a905),f2(a905)),x64271)) % 166.45/166.23 [6428]~P117(x64282)+~P1(f329(f329(f240(x64282),f2(x64282)),f329(f107(x64282),x64281)))+P1(f329(f329(f240(a1),f2(a1)),x64281)) % 166.45/166.23 [6431]E(f329(f256(a1,a1),f49(x64311,x64312)),f329(f329(f38(a1),x64311),x64312))+~P1(f329(f329(f239(a1),f2(a1)),x64312))+~P1(f329(f329(f240(a1),f2(a1)),x64311)) % 166.45/166.23 [6446]E(f329(f261(a1,a1),f49(x64461,x64462)),f47(a1,x64461,x64462))+~P1(f329(f329(f239(a1),f2(a1)),x64462))+~P1(f329(f329(f240(a1),f2(a1)),x64461)) % 166.45/166.23 [6461]~P83(x64611)+P1(f329(f329(f239(x64611),x64612),f2(x64611)))+~P1(f329(f329(f239(x64611),f2(x64611)),f329(f81(x64611),x64612))) % 166.45/166.23 [6462]~P83(x64621)+P1(f329(f329(f240(x64621),x64622),f2(x64621)))+~P1(f329(f329(f240(x64621),f2(x64621)),f329(f81(x64621),x64622))) % 166.45/166.23 [6485]~P4(x64851)+~P40(x64851,x64851,x64852)+P1(f329(f329(f239(x64851),f101(x64851,x64852)),f329(x64852,f101(x64851,x64852)))) % 166.45/166.23 [6486]~P4(x64861)+~P40(x64861,x64861,x64862)+P1(f329(f329(f239(x64861),f100(x64861,x64862)),f329(x64862,f100(x64861,x64862)))) % 166.45/166.23 [6491]P1(f329(f51(x64911,x64912),f52(x64911,x64912)))+~P1(f329(f329(f240(a1),x64911),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x64912)) % 166.45/166.23 [6517]P1(f329(f51(x65171,x65172),f49(x65171,x65172)))+~P1(f329(f329(f239(a1),f2(a1)),x65171))+~P1(f329(f329(f240(a1),f2(a1)),x65172)) % 166.45/166.23 [6562]~P83(x65621)+P1(f329(f329(f239(x65621),f329(f81(x65621),x65622)),f2(x65621)))+~P1(f329(f329(f239(x65621),f2(x65621)),x65622)) % 166.45/166.23 [6563]~P83(x65631)+P1(f329(f329(f240(x65631),f329(f81(x65631),x65632)),f2(x65631)))+~P1(f329(f329(f240(x65631),f2(x65631)),x65632)) % 166.45/166.23 [6579]E(f329(f329(f23(a905),f329(a109,x65791)),f329(a109,x65792)),f329(a109,f198(x65791,x65792)))+~P1(f329(f329(f239(a1),f2(a1)),x65792))+~P1(f329(f329(f239(a1),f2(a1)),x65791)) % 166.45/166.23 [6596]P1(f329(f329(f239(a1),f2(a1)),f198(x65961,x65962)))+~P1(f329(f329(f239(a1),f2(a1)),x65962))+~P1(f329(f329(f239(a1),f2(a1)),x65961)) % 166.45/166.23 [6635]~P1(f329(x66351,x66352))+P1(f329(x66351,f2(a905)))+P1(f329(x66351,f329(f329(f82(a905),f892(x66352,x66351)),f80(a905)))) % 166.45/166.23 [6720]E(f329(f108(a905),x67201),f329(f108(a905),x67202))+~P1(f329(f329(f239(a1),f329(f108(a1),x67202)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x67201))) % 166.45/166.23 [6730]~E(x67301,f2(a905))+~E(f713(x67302,x67301),f2(a905))+E(f329(f145(a905,a905,f82(a905),x67301),x67302),f2(a905)) % 166.45/166.23 [6754]~P1(f329(f63(x67541),f612(x67542,x67541)))+~P1(f329(f63(f913(x67541,a900)),x67542))+P1(f329(f63(x67541),f39(f913(x67541,a900),x67542))) % 166.45/166.23 [6760]E(x67601,x67602)+P1(f329(f329(f240(a1),x67601),x67602))+~P1(f329(f329(f240(a1),x67601),f329(f329(f82(a1),x67602),f80(a1)))) % 166.45/166.23 [6761]P1(f329(f329(f239(a905),f329(a109,x67611)),f329(a109,x67612)))+~P1(f329(f329(f239(a1),f2(a1)),x67612))+~P1(f329(f329(f239(a1),x67611),x67612)) % 166.45/166.23 [6762]P1(f329(f329(f239(a905),f329(a109,x67621)),f329(a109,x67622)))+~P1(f329(f329(f240(a1),f2(a1)),x67621))+~P1(f329(f329(f239(a1),x67621),x67622)) % 166.45/166.23 [6764]P1(f329(f329(f240(a905),f329(a109,x67641)),f329(a109,x67642)))+~P1(f329(f329(f239(a1),f2(a1)),x67641))+~P1(f329(f329(f240(a1),x67641),x67642)) % 166.45/166.23 [6765]P1(f329(f329(f240(a905),f329(a109,x67651)),f329(a109,x67652)))+~P1(f329(f329(f240(a1),f2(a1)),x67652))+~P1(f329(f329(f240(a1),x67651),x67652)) % 166.45/166.23 [6777]E(f47(a905,f329(a109,x67771),f329(a109,x67772)),f329(a109,f47(a1,x67771,x67772)))+~P1(f329(f329(f239(a1),f2(a1)),x67772))+~P1(f329(f329(f239(a1),f2(a1)),x67771)) % 166.45/166.23 [6801]~P83(x68011)+~P1(f329(f329(f239(x68011),f329(f81(x68011),x68012)),f2(x68011)))+P1(f329(f329(f239(x68011),f2(x68011)),x68012)) % 166.45/166.23 [6802]~P83(x68021)+~P1(f329(f329(f240(x68021),f329(f81(x68021),x68022)),f2(x68021)))+P1(f329(f329(f240(x68021),f2(x68021)),x68022)) % 166.45/166.23 [6816]~P1(f329(f329(f240(a1),a85),x68162))+~P1(f329(f329(f240(a1),x68161),x68162))+P1(f329(f329(f240(a905),f329(f108(a905),x68161)),f329(f108(a905),x68162))) % 166.45/166.23 [6905]~P1(f329(f329(f239(a1),f2(a1)),x69051))+P1(f329(f329(f240(a905),f329(a109,x69051)),x69052))+~P1(f329(f329(f240(a1),x69051),f329(f105(a1),x69052))) % 166.45/166.23 [6910]P1(f329(x69101,x69102))+~P1(f329(x69101,f329(a20,f832(x69101,x69102))))+~P1(f329(f329(f331(a905),x69102),f247(f913(a905,a900)))) % 166.45/166.23 [6921]E(x69211,f2(a1))+E(f47(a1,x69212,x69211),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f38(a1),x69212),x69211))),f80(a1)),f329(f329(f38(a1),x69212),f329(f81(a1),x69211))) % 166.45/166.23 [6935]~P1(f329(f329(f239(a1),f2(a1)),x69351))+~P1(f329(f329(f240(a905),f329(a109,x69351)),x69352))+P1(f329(f329(f240(a1),x69351),f329(f105(a1),x69352))) % 166.45/166.23 [6969]~P1(f329(f329(f239(a905),f329(a109,x69691)),f329(a109,x69692)))+~P1(f329(f329(f239(a1),f2(a1)),x69692))+P1(f329(f329(f239(a1),x69691),x69692)) % 166.45/166.23 [6970]~P1(f329(f329(f239(a905),f329(a109,x69701)),f329(a109,x69702)))+~P1(f329(f329(f240(a1),f2(a1)),x69701))+P1(f329(f329(f239(a1),x69701),x69702)) % 166.45/166.23 [6998]P1(f329(f329(f239(a1),x69981),x69982))+~P1(f329(f329(f239(a905),f329(f108(a905),x69981)),f329(f108(a905),x69982)))+P1(f329(f329(f239(a1),x69981),a85)) % 166.45/166.23 [7026]P1(f329(f329(f239(a1),f2(a1)),f47(a1,x70261,x70262)))+~P1(f329(f329(f239(a1),f2(a1)),x70262))+~P1(f329(f329(f239(a1),f2(a1)),x70261)) % 166.45/166.23 [7121]P1(f329(f329(f240(a1),a85),x71211))+~P1(f329(f329(f240(a1),x71212),x71211))+~P1(f329(f329(f240(a905),f329(f108(a905),x71212)),f329(f108(a905),x71211))) % 166.45/166.23 [7173]E(f329(f329(f257(a1,a1),f329(f329(f38(a1),x71731),x71732)),f47(a1,x71731,x71732)),f52(x71731,x71732))+~P1(f329(f329(f240(a1),x71731),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x71732)) % 166.45/166.23 [7193]E(f329(f329(f257(a1,a1),f329(f329(f38(a1),x71931),x71932)),f47(a1,x71931,x71932)),f49(x71931,x71932))+~P1(f329(f329(f239(a1),f2(a1)),x71932))+~P1(f329(f329(f239(a1),f2(a1)),x71931)) % 166.45/166.23 [7244]~P100(x72442)+E(x72441,f118(x72442))+E(f329(f145(x72442,x72442,f83(x72442),f329(f144(x72442),x72441)),f329(f174(x72442),x72441)),f329(f65(x72442,f83(x72442)),f329(f175(x72442),x72441))) % 166.45/166.23 [7363]~E(x73631,f2(a905))+E(f329(f145(a905,a905,f82(a905),x73631),x73632),f2(a905))+P1(f329(f329(f331(a905),f713(x73632,x73631)),f329(f175(a905),x73632))) % 166.45/166.23 [7414]~P1(f329(f329(f239(a1),x74141),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x74141),x74142)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74142)) % 166.45/166.23 [7415]~P1(f329(f329(f240(a1),x74152),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x74151),x74152)),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x74151)) % 166.45/166.23 [7416]~P1(f329(f329(f240(a1),x74162),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f38(a1),x74161),x74162)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74161)) % 166.45/166.23 [7418]~P1(f329(f329(f240(a1),x74181),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f38(a1),x74181),x74182)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74182)) % 166.45/166.23 [7425]P1(f329(f329(f331(f913(x74251,a900)),f612(x74252,x74251)),x74252))+~P1(f329(f63(f913(x74251,a900)),x74252))+P1(f329(f63(x74251),f39(f913(x74251,a900),x74252))) % 166.45/166.23 [7521]P24(x75211,x75211,x75212,f247(f913(x75211,a900)))+~E(f329(f312(x75211,x75211,x75212),f247(f913(x75211,a900))),f247(f913(x75211,a900)))+~P1(f329(f63(x75211),f247(f913(x75211,a900)))) % 166.45/166.23 [7644]~P24(x76441,x76441,x76442,f247(f913(x76441,a900)))+E(f329(f312(x76441,x76441,x76442),f247(f913(x76441,a900))),f247(f913(x76441,a900)))+~P1(f329(f63(x76441),f247(f913(x76441,a900)))) % 166.45/166.23 [7782]E(f329(f329(f38(a1),x77821),x77822),f329(f108(a1),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x77821),x77822)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x77821)) % 166.45/166.23 [7840]~P1(f329(f329(f240(a1),x78402),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f38(a1),x78401),x78402)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78401)) % 166.45/166.23 [7845]E(f329(f329(f82(a1),x78451),x78452),f47(a1,x78451,x78452))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x78451),x78452)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78451)) % 166.45/166.23 [7848]P1(f329(f329(f240(a1),x78481),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f38(a1),x78481),x78482)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78482)) % 166.45/166.23 [8561]~P105(x85611)+P12(x85611,x85612)+~P1(f329(f329(f239(x85611),f329(f329(f167(x85611),x85612),f733(x85612,x85611))),f329(f329(f167(x85611),x85612),f734(x85612,x85611)))) % 166.45/166.23 [8562]~P105(x85621)+P12(x85621,x85622)+~P1(f329(f329(f239(x85621),f329(f329(f167(x85621),x85622),f741(x85622,x85621))),f329(f329(f167(x85621),x85622),f745(x85622,x85621)))) % 166.45/166.23 [5783]E(x57831,f2(a1))+~E(f47(a1,x57832,x57831),f2(a1))+E(f329(f329(f38(a1),x57832),f329(f81(a1),x57831)),f329(f81(a1),f329(f329(f38(a1),x57832),x57831))) % 166.45/166.23 [5801]~P41(x58012)+~P41(x58011)+P41(f329(f329(f115(f913(a1,a900)),x58011),x58012)) % 166.45/166.23 [5802]~P41(x58022)+~P41(x58021)+P41(f329(f329(f106(f913(a1,a900)),x58021),x58022)) % 166.45/166.23 [5820]~P70(x58201)+~P97(x58201)+E(f329(f81(x58201),f329(f329(f292(x58201),f80(x58201)),x58202)),f329(f329(f292(x58201),f329(f108(x58201),a102)),x58202)) % 166.45/166.23 [5939]E(x59391,f2(a1))+~E(f47(a1,x59392,x59391),f2(a1))+E(f329(f329(f38(a1),f329(f81(a1),x59392)),x59391),f329(f81(a1),f329(f329(f38(a1),x59392),x59391))) % 166.45/166.23 [6075]~P105(x60751)+P12(x60751,x60752)+P1(f329(f329(f240(a905),f734(x60752,x60751)),f329(f192(f906(x60751)),x60752))) % 166.45/166.23 [6076]~P105(x60761)+P12(x60761,x60762)+P1(f329(f329(f240(a905),f745(x60762,x60761)),f329(f192(f906(x60761)),x60762))) % 166.45/166.23 [6237]~P97(x62371)+~E(f329(f108(x62371),x62372),f2(x62371))+P29(x62371,f329(f108(x62371),f329(f329(f82(a1),x62372),f329(f81(a1),a85)))) % 166.45/166.23 [6238]~P97(x62381)+~E(f329(f108(x62381),x62382),f2(x62381))+P29(x62381,f329(f108(x62381),f329(f329(f82(a1),a85),f329(f81(a1),x62382)))) % 166.45/166.23 [6240]E(f329(a53,f49(f329(f81(a1),x62401),f329(f81(a1),x62402))),f48(x62401,x62402))+P1(f329(f329(f239(a1),f2(a1)),x62401))+P1(f329(f329(f240(a1),f2(a1)),x62402)) % 166.45/166.23 [6364]~E(x63642,f2(a905))+~E(x63641,f2(a905))+P1(f329(f329(f239(a1),f329(f105(a1),x63641)),f329(f81(a1),f329(f105(a1),x63642)))) % 166.45/166.23 [6393]E(f329(f329(f82(a905),f329(f108(a905),x63931)),f329(f108(a905),x63932)),f329(f108(a905),f329(f329(f82(a1),x63931),x63932)))+P1(f329(f329(f240(a1),x63931),a85))+P1(f329(f329(f240(a1),x63932),a85)) % 166.45/166.23 [6527]~P81(x65271)+~P1(f329(f329(f239(x65271),f2(x65271)),x65272))+P1(f329(f329(f239(x65271),f329(f81(x65271),x65272)),x65272)) % 166.45/166.23 [6528]~P81(x65281)+~P1(f329(f329(f240(x65281),f2(x65281)),x65282))+P1(f329(f329(f240(x65281),f329(f81(x65281),x65282)),x65282)) % 166.45/166.23 [6706]E(f329(f329(f23(a905),f329(a109,x67061)),f329(a109,x67062)),f329(a109,f329(f329(f23(a1),x67061),x67062)))+~P1(f329(f329(f239(a1),f2(a1)),x67062))+~P1(f329(f329(f239(a1),x67062),x67061)) % 166.45/166.23 [6738]E(f329(a109,f47(a1,f329(f108(a1),x67381),f329(f108(a1),x67382))),f47(a905,f329(f108(a905),x67381),f329(f108(a905),x67382)))+P1(f329(a196,f329(f108(a1),x67381)))+P1(f329(a196,f329(f108(a1),x67382))) % 166.45/166.23 [6755]~P81(x67551)+P1(f329(f329(f239(x67551),f2(x67551)),x67552))+~P1(f329(f329(f239(x67551),f329(f81(x67551),x67552)),x67552)) % 166.45/166.23 [6756]~P81(x67561)+P1(f329(f329(f240(x67561),f2(x67561)),x67562))+~P1(f329(f329(f240(x67561),f329(f81(x67561),x67562)),x67562)) % 166.45/166.23 [6768]~P81(x67681)+~P1(f329(f329(f239(x67681),f2(x67681)),x67682))+P1(f329(f329(f239(x67681),f2(x67681)),f329(f329(f82(x67681),x67682),x67682))) % 166.45/166.23 [6771]~P81(x67711)+~P1(f329(f329(f240(x67711),f2(x67711)),x67712))+P1(f329(f329(f240(x67711),f2(x67711)),f329(f329(f82(x67711),x67712),x67712))) % 166.45/166.23 [6782]E(f329(f329(f82(a905),f329(a109,x67821)),f329(a109,x67822)),f329(a109,f329(f329(f82(a1),x67821),x67822)))+~P1(f329(f329(f239(a1),f2(a1)),x67822))+~P1(f329(f329(f239(a1),f2(a1)),x67821)) % 166.45/166.23 [6794]E(x67941,f2(a905))+P1(f329(f329(f240(a905),f2(a905)),x67942))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f249(a905),x67942),x67941))) % 166.45/166.23 [6826]~P97(x68261)+E(f329(f108(x68261),x68262),f2(x68261))+~P29(x68261,f329(f108(x68261),f329(f329(f82(a1),a85),f329(f81(a1),x68262)))) % 166.45/166.23 [6827]~P97(x68271)+E(f329(f108(x68271),x68272),f2(x68271))+~P29(x68271,f329(f108(x68271),f329(f329(f82(a1),x68272),f329(f81(a1),a85)))) % 166.45/166.23 [6883]~P1(f329(f63(x68831),x68832))+~P1(f329(f63(x68831),f247(f913(x68831,a900))))+P1(f329(f63(x68831),f329(f81(f913(x68831,a900)),x68832))) % 166.45/166.23 [6906]~P1(f329(f329(f240(a1),f2(a1)),x69062))+~P1(f329(f329(f239(a1),x69062),x69061))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f38(a1),x69061),x69062))) % 166.45/166.23 [6907]~P1(f329(f329(f239(a1),x69071),f2(a1)))+~P1(f329(f329(f240(a1),x69072),f2(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f38(a1),x69071),x69072))) % 166.45/166.23 [6943]~P1(f329(f329(f239(a1),f2(a1)),x69432))+~P1(f329(f329(f239(a1),f2(a1)),x69431))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x69431),x69432))) % 166.45/166.23 [6944]~P1(f329(f329(f239(a1),f2(a1)),x69442))+~P1(f329(f329(f239(a1),f2(a1)),x69441))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f83(a1),x69441),x69442))) % 166.45/166.23 [6945]~P1(f329(f329(f239(a1),f2(a1)),x69452))+~P1(f329(f329(f239(a1),f2(a1)),x69451))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f38(a1),x69451),x69452))) % 166.45/166.23 [6946]~P1(f329(f329(f239(a1),f2(a1)),x69461))+~P1(f329(f329(f240(a1),f2(a1)),x69462))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f38(a1),x69461),x69462))) % 166.45/166.23 [6947]~P1(f329(f329(f240(a905),f2(a905)),x69472))+~P1(f329(f329(f240(a905),f2(a905)),x69471))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f83(a905),x69471),x69472))) % 166.45/166.23 [7011]E(x70111,f2(a1))+E(f47(a1,x70112,x70111),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f38(a1),x70112),x70111))),f80(a1)),f329(f329(f38(a1),f329(f81(a1),x70112)),x70111)) % 166.45/166.23 [7067]P1(f329(f329(f240(a905),f2(a905)),x70671))+P1(f329(f329(f240(a905),f2(a905)),x70672))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f82(a905),x70672),x70671))) % 166.45/166.23 [7071]~P81(x70711)+P1(f329(f329(f239(x70711),f2(x70711)),x70712))+~P1(f329(f329(f239(x70711),f2(x70711)),f329(f329(f82(x70711),x70712),x70712))) % 166.45/166.23 [7072]~P81(x70721)+P1(f329(f329(f240(x70721),f2(x70721)),x70722))+~P1(f329(f329(f240(x70721),f2(x70721)),f329(f329(f82(x70721),x70722),x70722))) % 166.45/166.23 [7122]~P1(f329(f63(x71221),x71222))+P1(f329(f63(x71221),f247(f913(x71221,a900))))+~P1(f329(f63(x71221),f329(f81(f913(x71221,a900)),x71222))) % 166.45/166.23 [7185]P1(f329(f329(f239(a1),x71851),f2(a1)))+~P1(f329(f329(f240(a1),x71852),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f38(a1),x71851),x71852))) % 166.45/166.23 [7191]~P1(f329(f329(f240(a1),f2(a1)),x71911))+P1(f329(f329(f239(a1),x71911),x71912))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f38(a1),x71912),x71911))) % 166.45/166.23 [7192]~P1(f329(f329(f239(a1),f2(a1)),x71922))+P1(f329(f329(f239(a1),x71921),x71922))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f38(a1),x71922),x71921))) % 166.45/166.23 [7221]P1(f329(f329(f239(a1),f2(a1)),x72211))+~P1(f329(f329(f240(a1),f2(a1)),x72212))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f38(a1),x72211),x72212))) % 166.45/166.23 [7222]P1(f329(f329(f240(a1),f2(a1)),x72221))+~P1(f329(f329(f239(a1),f2(a1)),x72222))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f38(a1),x72222),x72221))) % 166.45/166.23 [7675]~P1(f329(f63(x76752),f247(f913(x76752,a900))))+~P1(f329(f63(x76751),f247(f913(x76751,a900))))+P1(f329(f63(f911(x76751,x76752)),f247(f913(f911(x76751,x76752),a900)))) % 166.45/166.23 [7676]~P1(f329(f63(x76762),f247(f913(x76762,a900))))+~P1(f329(f63(x76761),f247(f913(x76761,a900))))+P1(f329(f63(f912(x76761,x76762)),f247(f913(f912(x76761,x76762),a900)))) % 166.45/166.23 [7747]~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x77471))+~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x77472))+P1(f329(f329(f240(a905),x77471),f329(f329(f83(a905),x77472),x77471))) % 166.45/166.23 [7748]~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x77481))+~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x77482))+P1(f329(f329(f240(a905),x77481),f329(f329(f83(a905),x77481),x77482))) % 166.45/166.23 [7781]E(f329(f37(x77811),f247(f913(x77811,a900))),f329(a117,f2(a905)))+P1(f329(f63(x77812),f247(f913(x77812,a900))))+~P1(f329(f63(f913(x77812,x77811)),f247(f913(f913(x77812,x77811),a900)))) % 166.45/166.23 [7911]~P1(f329(f329(f239(a905),f329(a117,f2(a905))),x79111))+~P1(f329(f329(f239(a905),f329(a117,f2(a905))),x79112))+P1(f329(f329(f239(a905),f329(a117,f2(a905))),f329(f329(f83(a905),x79111),x79112))) % 166.45/166.23 [7912]~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x79122))+~P1(f329(f329(f240(a905),f329(a117,f2(a905))),x79121))+P1(f329(f329(f240(a905),f329(a117,f2(a905))),f329(f329(f83(a905),x79121),x79122))) % 166.45/166.23 [8267]~P112(x82671)+P40(a905,x82671,x82672)+~P1(f329(f329(f239(x82671),f329(x82672,f412(x82672,x82671))),f329(x82672,f329(a117,f412(x82672,x82671))))) % 166.45/166.23 [8616]E(x86161,f118(x86162))+~P1(f329(f140(x86162),x86161))+E(f180(x86162,f329(f329(f8(a900,a900,x86162),a324),f329(f329(f7(x86162,x86162,a900),a326),f147(x86162,x86161))),x86161),f119(x86162,x86161)) % 166.45/166.23 [8713]~P41(x87132)+~P41(x87131)+E(f329(f312(a905,a1,f105(a1)),f329(f329(f115(f913(a905,a900)),f329(f312(a1,a905,a109),x87131)),f329(f312(a1,a905,a109),x87132))),f329(f329(f115(f913(a1,a900)),x87131),x87132)) % 166.45/166.23 [8714]~P41(x87142)+~P41(x87141)+E(f329(f312(a905,a1,f105(a1)),f329(f329(f106(f913(a905,a900)),f329(f312(a1,a905,a109),x87141)),f329(f312(a1,a905,a109),x87142))),f329(f329(f106(f913(a1,a900)),x87141),x87142)) % 166.45/166.23 [9374]~P97(x93741)+~E(f329(f108(x93741),x93742),f80(x93741))+P29(x93741,f329(f108(x93741),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x93742)))) % 166.45/166.23 [9616]~P97(x96161)+E(f329(f108(x96161),x96162),f80(x96161))+~P29(x96161,f329(f108(x96161),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x96162)))) % 166.45/166.23 [10357]E(x103571,f2(a1))+E(x103572,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103572))),f329(f329(f329(f99(f912(a1,a1)),f329(f329(a326,f84(a1,x103571)),f84(a1,x103572))),f55(x103571,x103572)),f329(f329(f262(a1,a1,f912(a1,a1)),f329(f329(f18(a1,f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f913(f912(a1,a1),f912(a1,a1))),f913(f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),a1),f18(a1,f912(a1,a1),f912(a1,a1))),f329(f329(f8(f912(a1,a1),f913(a1,f913(f912(a1,a1),f912(a1,a1))),a1),f329(f7(a1,f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),f329(f329(f8(a900,f913(f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),a1),f99(f912(a1,a1))),f329(f329(f7(a1,a1,a900),a326),f2(a1))))),f329(f329(f7(a1,a1,f912(a1,a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f913(a1,a1),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f912(a1,a1)),f913(f913(a1,a1),f913(a1,f912(a1,a1))),a1),f8(a1,f912(a1,a1),a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f913(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103572))))),f55(x103571,x103572)))),f48(x103571,x103572)) % 166.45/166.23 [10358]E(x103581,f2(a1))+E(x103582,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103582))),f329(f329(f329(f99(f912(a1,a1)),f329(f329(a328,f329(f329(a327,f329(f329(f240(a1),f2(a1)),x103582)),f329(f329(f239(a1),f2(a1)),x103581))),f329(f329(a327,f329(f329(f240(a1),x103582),f2(a1))),f329(f329(f240(a1),x103581),f2(a1))))),f55(x103581,x103582)),f329(f329(f262(a1,a1,f912(a1,a1)),f329(f329(f18(a1,f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f913(f912(a1,a1),f912(a1,a1))),f913(f913(a1,f912(a1,a1)),f913(a1,f912(a1,a1))),a1),f18(a1,f912(a1,a1),f912(a1,a1))),f329(f329(f8(f912(a1,a1),f913(a1,f913(f912(a1,a1),f912(a1,a1))),a1),f329(f7(a1,f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),f329(f329(f8(a900,f913(f912(a1,a1),f913(f912(a1,a1),f912(a1,a1))),a1),f99(f912(a1,a1))),f329(f329(f7(a1,a1,a900),a326),f2(a1))))),f329(f329(f7(a1,a1,f912(a1,a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f913(a1,a1),f913(a1,f912(a1,a1))),f329(f329(f8(f913(a1,f912(a1,a1)),f913(f913(a1,a1),f913(a1,f912(a1,a1))),a1),f8(a1,f912(a1,a1),a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f913(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103582))))),f55(x103581,x103582)))),f48(x103581,x103582)) % 166.45/166.23 [5809]~P117(x58091)+~P97(x58091)+E(f329(f77(x58091),f329(f329(f249(x58091),f329(f108(x58091),a102)),x58092)),f80(x58091)) % 166.45/166.23 [6306]~P142(x63061)+~P1(f329(f329(f240(a1),x63062),f2(a1)))+E(f329(f81(x63061),f329(f105(x63061),f329(a109,f329(f81(a1),x63062)))),f329(f107(x63061),x63062)) % 166.45/166.23 [6510]P1(f329(f329(f239(a104),x65101),f80(a104)))+E(f329(f329(f82(a104),f80(a104)),f275(x65101,f329(f329(f38(a104),x65102),x65101))),f275(x65101,x65102))+P1(f329(f329(f240(a104),x65102),x65101)) % 166.45/166.23 [7111]~P96(x71111)+~P1(f329(f329(f331(x71111),x71112),f114(x71111)))+~E(f329(f329(f82(x71111),f329(f329(f82(x71111),f80(x71111)),x71112)),x71112),f2(x71111)) % 166.45/166.23 [7223]~P1(f329(f329(f239(a1),x72232),f2(a1)))+~P1(f329(f329(f240(a1),x72231),f2(a1)))+E(f329(f256(a1,a1),f329(a53,f49(f329(f81(a1),x72231),f329(f81(a1),x72232)))),f329(f329(f38(a1),x72231),x72232)) % 166.45/166.23 [7240]~P1(f329(f329(f239(a1),x72402),f2(a1)))+~P1(f329(f329(f240(a1),x72401),f2(a1)))+E(f329(f261(a1,a1),f329(a53,f49(f329(f81(a1),x72401),f329(f81(a1),x72402)))),f47(a1,x72401,x72402)) % 166.45/166.23 [7246]~P1(f329(f329(f240(a1),x72462),f2(a1)))+E(f329(f256(a1,a1),f329(a53,f52(f329(f81(a1),x72461),f329(f81(a1),x72462)))),f329(f329(f38(a1),x72461),x72462))+~P1(f329(f329(f240(a1),f2(a1)),x72461)) % 166.45/166.23 [7264]~P1(f329(f329(f240(a1),x72642),f2(a1)))+E(f329(f261(a1,a1),f329(a53,f52(f329(f81(a1),x72641),f329(f81(a1),x72642)))),f47(a1,x72641,x72642))+~P1(f329(f329(f240(a1),f2(a1)),x72641)) % 166.45/166.23 [7316]E(f329(f329(f38(a1),f329(f329(f249(a1),x73161),x73162)),x73161),f329(f329(f249(a1),x73161),f329(f329(f23(a905),x73162),f329(a117,f2(a905)))))+~P1(f329(f329(f240(a905),f2(a905)),x73162))+~P1(f329(f329(f240(a1),f2(a1)),x73161)) % 166.45/166.23 [7422]~P1(f329(f329(f240(a905),f2(a905)),x74221))+~P1(f329(f329(f240(a905),f2(a905)),x74222))+P1(f329(f329(f240(a905),f329(f329(f23(a905),x74221),x74222)),x74221)) % 166.45/166.23 [7423]~P1(f329(f329(f240(a905),f2(a905)),x74231))+~P1(f329(f329(f240(a905),f80(a905)),x74232))+P1(f329(f329(f240(a905),f329(f329(f38(a905),x74231),x74232)),x74231)) % 166.45/166.23 [7424]~P1(f329(f329(f240(a1),f2(a1)),x74241))+~P1(f329(f329(f240(a1),f80(a1)),x74242))+P1(f329(f329(f240(a1),f329(f329(f38(a1),x74241),x74242)),x74241)) % 166.45/166.23 [7571]E(x75711,f2(a905))+~E(x75712,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x75712)),x75711))) % 166.45/166.23 [7945]~P1(f329(x79451,x79452))+P1(f329(x79451,f2(a905)))+E(f329(a117,f243(a905,f329(f329(f8(a905,a900,a905),x79451),a117))),f243(a905,x79451)) % 166.45/166.23 [7994]~E(x79942,f118(f906(x79941)))+E(f329(f192(f906(f906(x79941))),f182(x79941,x79942)),f2(a905))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x79941),a905),f192(f906(x79941))),x79942))) % 166.45/166.23 [8254]P1(f329(x82541,x82542))+~P1(f329(x82541,f329(a112,f560(x82541,x82542))))+~P1(f329(f329(f331(f913(f912(a905,a905),a900)),x82542),a103)) % 166.45/166.23 [8271]E(x82711,f118(f906(x82712)))+E(f329(f192(f906(x82712)),f329(f329(f167(f906(x82712)),x82711),f2(a905))),f329(f192(f906(f906(x82712))),f182(x82712,x82711)))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x82712),a905),f192(f906(x82712))),x82711))) % 166.45/166.23 [8414]~P38(x84141,x84142)+~P39(x84141,x84142)+P38(x84141,f329(f329(f23(f913(f912(x84141,x84141),a900)),x84142),f309(x84141,f191(f913(f912(x84141,x84141),a900))))) % 166.45/166.23 [8980]~P1(f329(f63(x89801),f329(f267(x89801),x89802)))+~P1(f329(f63(x89801),f247(f913(x89801,a900))))+P1(f329(f63(x89801),f329(f267(x89801),f329(f329(f8(a900,a900,x89801),a324),x89802)))) % 166.45/166.23 [9048]E(f329(f329(f257(a905,a905),f329(a117,f329(f329(f38(a905),f329(f329(f23(a905),x90481),x90482)),x90482))),f47(a905,f329(f329(f23(a905),x90481),x90482),x90482)),f87(f912(a905,a905),f50(x90481,x90482)))+~P1(f329(f329(f240(a905),f2(a905)),x90482))+~P1(f329(f329(f239(a905),x90482),x90481)) % 166.45/166.23 [9341]~P1(f329(f63(x93411),f329(f267(x93411),x93412)))+P1(f329(f63(x93411),f247(f913(x93411,a900))))+~P1(f329(f63(x93411),f329(f267(x93411),f329(f329(f8(a900,a900,x93411),a324),x93412)))) % 166.45/166.23 [10056]P26(x100561,x100562)+~P37(x100561,f329(f256(f913(f912(x100561,x100561),a900),f913(f912(x100561,x100561),a900)),x100562))+~P1(f329(f329(f239(f913(f912(x100561,x100561),a900)),f329(f329(f291(x100561,x100561,x100561),f329(f256(f913(f912(x100561,x100561),a900),f913(f912(x100561,x100561),a900)),x100562)),f329(f261(f913(f912(x100561,x100561),a900),f913(f912(x100561,x100561),a900)),x100562))),f329(f256(f913(f912(x100561,x100561),a900),f913(f912(x100561,x100561),a900)),x100562))) % 166.45/166.23 [7346]~P1(f329(f329(f240(a905),f2(a905)),x73462))+P1(f329(f329(f240(a905),x73461),x73462))+E(f329(a117,f329(f329(f38(a905),f329(f329(f23(a905),x73461),x73462)),x73462)),f329(f329(f38(a905),x73461),x73462)) % 166.45/166.23 [7490]~P1(f329(f329(f240(a905),f2(a905)),x74902))+~P1(f329(f329(f239(a905),x74902),x74901))+E(f329(a117,f329(f329(f38(a905),f329(f329(f23(a905),x74901),x74902)),x74902)),f329(f329(f38(a905),x74901),x74902)) % 166.45/166.23 [8477]~P97(x84771)+~P96(x84771)+~P29(x84771,f329(f108(x84771),f329(f329(f23(a1),f329(f329(f82(a1),x84772),x84772)),a102))) % 166.45/166.23 [9243]E(x92431,f2(a905))+E(f329(f329(f262(a905,a905,f912(a905,a905)),f329(f329(f8(a905,f913(a905,f912(a905,a905)),a905),f257(a905,a905)),a117)),f87(f912(a905,a905),f50(f329(f329(f23(a905),x92432),x92431),x92431))),f87(f912(a905,a905),f50(x92432,x92431)))+P1(f329(f329(f240(a905),x92432),x92431)) % 166.45/166.23 [9426]~P38(x94261,x94262)+~P54(x94261,x94262)+P1(f329(f329(f239(f913(f912(x94261,x94261),a900)),f329(f329(f291(x94261,x94261,x94261),f329(f289(x94261,x94261),x94262)),x94262)),x94262)) % 166.45/166.23 [9679]P1(f329(x96792,f662(x96792,x96791)))+P1(f329(x96791,f662(x96792,x96791)))+E(f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96791)),f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96792))) % 166.45/166.23 [9683]~P1(f329(x96832,f662(x96832,x96831)))+~P1(f329(x96831,f662(x96832,x96831)))+E(f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96831)),f329(f267(a1),f329(f329(f18(a1,a900,a900),f329(f329(f8(a900,f913(a900,a900),a1),a327),f329(f239(a1),f2(a1)))),x96832))) % 166.45/166.23 [7704]~P71(x77041)+~P97(x77041)+E(f329(f329(f292(x77041),x77042),f329(f108(x77041),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x77042) % 166.45/166.23 [9373]~P97(x93731)+~E(f329(f108(x93731),x93732),f80(x93731))+P29(x93731,f329(f108(x93731),f329(f329(f82(a1),x93732),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.23 [9556]~P144(x95561)+~E(x95562,f2(x95561))+E(f329(f329(f249(x95561),x95562),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(x95561)) % 166.45/166.23 [9557]~P144(x95571)+~E(x95572,f80(x95571))+E(f329(f329(f249(x95571),x95572),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95571)) % 166.45/166.23 [9572]~P144(x95721)+~E(x95722,f329(f81(x95721),f80(x95721)))+E(f329(f329(f249(x95721),x95722),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95721)) % 166.45/166.23 [9617]~P97(x96171)+E(f329(f108(x96171),x96172),f80(x96171))+~P29(x96171,f329(f108(x96171),f329(f329(f82(a1),x96172),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.23 [9999]~P117(x99992)+E(x99991,f2(x99992))+P1(f329(f329(f240(x99992),f2(x99992)),f329(f329(f249(x99992),x99991),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.23 [10055]~P117(x100552)+~E(x100551,f2(x100552))+~P1(f329(f329(f240(x100552),f2(x100552)),f329(f329(f249(x100552),x100551),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.23 [10080]P1(f329(f329(f239(a1),x100801),f2(a1)))+P1(f329(f329(f240(a1),x100802),x100801))+E(f329(f45(x100801),f49(x100802,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100801))),f49(x100802,x100801)) % 166.45/166.23 [10081]~P1(f329(f329(f240(a1),f2(a1)),x100811))+P1(f329(f329(f240(a1),x100812),x100811))+E(f329(f45(x100811),f49(x100812,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100811))),f49(x100812,x100811)) % 166.45/166.23 [10082]P1(f329(f329(f239(a1),x100821),f2(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x100822),x100821)))+E(f329(f45(x100821),f52(x100822,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100821))),f52(x100822,x100821)) % 166.45/166.23 [10083]~P1(f329(f329(f240(a1),f2(a1)),x100831))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x100832),x100831)))+E(f329(f45(x100831),f52(x100832,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100831))),f52(x100832,x100831)) % 166.45/166.23 [10084]~P147(x100841)+~P1(f329(f329(f239(a1),f2(a1)),x100842))+E(f329(f105(x100841),f329(a109,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100842))),f329(f329(f82(x100841),f329(f105(x100841),f329(a109,x100842))),f329(f105(x100841),f329(a109,x100842)))) % 166.45/166.23 [5141]~P149(x51411,x51412,x51413)+~E(x51413,f2(a1))+P1(f329(x51411,x51412)) % 166.45/166.23 [5270]~P105(x52701)+~P12(x52701,x52703)+P12(x52701,f173(x52701,x52702,x52703)) % 166.45/166.23 [5271]~P105(x52711)+~P12(x52711,x52713)+P12(x52711,f180(x52711,x52712,x52713)) % 166.45/166.23 [4834]~P67(x48342)+~E(x48343,f329(f81(x48342),x48341))+E(x48341,f329(f81(x48342),x48343)) % 166.45/166.23 [4836]~P67(x48361)+~E(f329(f81(x48361),x48363),x48362)+E(f329(f81(x48361),x48362),x48363) % 166.45/166.23 [4915]~P105(x49153)+E(x49151,x49152)+~E(f329(f285(x49153),x49151),f329(f285(x49153),x49152)) % 166.45/166.23 [4916]~P109(x49163)+E(x49161,x49162)+~E(f329(f105(x49163),x49161),f329(f105(x49163),x49162)) % 166.45/166.23 [4917]~P105(x49173)+E(x49171,x49172)+~E(f329(f303(x49173),x49171),f329(f303(x49173),x49172)) % 166.45/166.23 [4918]~P105(x49183)+E(x49181,x49182)+~E(f329(f286(x49183),x49181),f329(f286(x49183),x49182)) % 166.45/166.23 [4919]~P105(x49193)+E(x49191,x49192)+~E(f329(f306(x49193),x49191),f329(f306(x49193),x49192)) % 166.45/166.23 [4920]~P67(x49203)+E(x49201,x49202)+~E(f329(f81(x49203),x49201),f329(f81(x49203),x49202)) % 166.45/166.23 [4921]~P99(x49213)+E(x49211,x49212)+~E(f329(f81(x49213),x49211),f329(f81(x49213),x49212)) % 166.45/166.23 [4922]~P96(x49223)+E(x49221,x49222)+~E(f329(f107(x49223),x49221),f329(f107(x49223),x49222)) % 166.45/166.23 [5024]~P3(x50241)+~P1(f329(x50242,x50243))+P1(f329(f58(x50241),x50242)) % 166.45/166.23 [5061]~P3(x50613)+P1(f329(x50611,x50612))+~P1(f329(f59(x50613),x50611)) % 166.45/166.23 [5160]~P150(x51601,x51603,x51602)+~E(x51602,f2(a1))+P1(f329(x51601,f2(a1))) % 166.45/166.23 [5196]~P114(x51962)+~P1(f329(x51961,x51963))+P1(f329(x51961,f243(x51962,x51961))) % 166.45/166.23 [5203]~E(x52031,f2(a905))+E(f840(x52031,x52032,x52033),f191(f913(x52033,a900)))+~E(f329(f37(x52033),x52032),f329(a117,x52031)) % 166.45/166.23 [5353]~E(x53532,f2(a905))+E(f329(f256(a905,a905),x53531),f2(a905))+~P1(f329(f50(x53533,x53532),x53531)) % 166.45/166.23 [5397]P1(f329(x53971,x53972))+~E(x53973,f329(f105(a1),x53972))+~P1(f329(x53971,f329(a109,x53973))) % 166.45/166.23 [5872]~E(x58723,f2(a905))+~P1(f329(x58721,x58722))+P1(f329(x58721,f47(a905,x58722,x58723))) % 166.45/166.23 [5930]~P114(x59301)+~P1(f329(x59302,x59303))+~P1(f329(f329(f240(x59301),x59303),f243(x59301,x59302))) % 166.45/166.23 [6106]~P110(x61062)+~P110(x61061)+E(f134(x61061,x61062,f135(x61061,x61063),f135(x61062,x61063)),f135(f912(x61061,x61062),x61063)) % 166.45/166.23 [6287]~E(x62873,f2(a905))+P1(f329(x62871,x62872))+~P1(f329(x62871,f47(a905,x62872,x62873))) % 166.45/166.23 [6299]~P4(x62991)+~P1(f329(f329(f239(x62991),x62992),f329(x62993,x62992)))+P1(f329(f329(f239(x62991),x62992),f101(x62991,x62993))) % 166.45/166.23 [6968]E(x69681,f2(a905))+~P1(f329(x69682,f487(x69681,x69683,x69682)))+P1(f329(x69682,f47(a905,x69683,x69681))) % 166.45/166.23 [7077]~P4(x70771)+~P1(f329(f329(f239(x70771),x70772),f639(x70773,x70772,x70771)))+P1(f329(f329(f239(x70771),x70772),f40(x70771,x70773))) % 166.45/166.23 [7079]~P1(f329(x70791,x70792))+~P1(f329(x70791,f487(x70793,x70792,x70791)))+P1(f329(x70791,f47(a905,x70792,x70793))) % 166.45/166.23 [7179]E(x71791,f118(x71792))+E(f329(f329(f154(x71792),f714(x71793,x71791,x71792)),f717(x71793,x71791,x71792)),x71791)+~P1(f329(f329(f331(f906(x71792)),x71791),f164(x71792,x71793))) % 166.45/166.23 [7210]~P142(x72101)+~P1(f329(f329(f331(x72101),x72102),f114(x72101)))+P1(f329(f329(f331(x72101),f329(f329(f249(x72101),x72102),x72103)),f114(x72101))) % 166.45/166.23 [7539]P37(x75391,x75392)+~P1(f329(f329(f331(x75391),x75393),f611(x75392,x75391)))+P1(f329(f329(f331(x75391),f661(x75392,x75391,x75393)),f611(x75392,x75391))) % 166.45/166.23 [7809]E(x78091,f118(x78092))+~P1(f329(f329(f331(f906(x78092)),x78091),f164(x78092,x78093)))+P1(f329(f329(f331(f906(x78092)),f717(x78093,x78091,x78092)),f164(x78092,x78093))) % 166.45/166.23 [7862]E(x78621,f2(a905))+E(f329(f329(f82(a905),f329(f329(f83(a905),x78621),f488(x78621,x78622,x78623))),f487(x78621,x78622,x78623)),x78622)+P1(f329(x78623,f47(a905,x78622,x78621))) % 166.45/166.23 [7905]~P1(f329(x79053,x79052))+E(f329(f329(f82(a905),f329(f329(f83(a905),x79051),f488(x79051,x79052,x79053))),f487(x79051,x79052,x79053)),x79052)+P1(f329(x79053,f47(a905,x79052,x79051))) % 166.45/166.23 [8051]P1(f329(f329(f240(a1),x80511),f483(x80512,x80513,x80511)))+P1(f329(f329(x80513,f329(f329(f38(a1),x80512),x80511)),f47(a1,x80512,x80511)))+~P1(f329(f329(f240(a1),x80511),f2(a1))) % 166.45/166.23 [8327]P1(f329(f329(x83272,f329(f329(f38(a1),x83271),x83273)),f47(a1,x83271,x83273)))+~P1(f329(f329(f240(a1),x83273),f2(a1)))+P1(f329(f329(f239(a1),f483(x83271,x83272,x83273)),f2(a1))) % 166.45/166.23 [8512]E(f329(f329(f82(a1),f329(f329(f83(a1),x85121),f484(x85122,x85123,x85121))),f483(x85122,x85123,x85121)),x85122)+P1(f329(f329(x85123,f329(f329(f38(a1),x85122),x85121)),f47(a1,x85122,x85121)))+~P1(f329(f329(f240(a1),x85121),f2(a1))) % 166.45/166.23 [8758]~P1(f329(f329(x87581,f484(x87582,x87581,x87583)),f483(x87582,x87581,x87583)))+P1(f329(f329(x87581,f329(f329(f38(a1),x87582),x87583)),f47(a1,x87582,x87583)))+~P1(f329(f329(f240(a1),x87583),f2(a1))) % 166.45/166.23 [8993]~P105(x89931)+~P12(x89931,x89933)+P12(x89931,f152(x89931,x89931,f5(x89931),x89932,x89933)) % 166.45/166.23 [9503]~P129(x95032)+E(x95031,f2(x95032))+~P1(f329(f329(f239(x95032),f329(f329(f82(x95032),f329(f329(f83(x95032),x95033),x95033)),f329(f329(f83(x95032),x95031),x95031))),f2(x95032))) % 166.45/166.23 [9504]~P129(x95042)+E(x95041,f2(x95042))+~P1(f329(f329(f239(x95042),f329(f329(f82(x95042),f329(f329(f83(x95042),x95041),x95041)),f329(f329(f83(x95042),x95043),x95043))),f2(x95042))) % 166.45/166.23 [10290]~P117(x102901)+~P1(f329(f329(f240(x102901),x102902),f2(x102901)))+P1(f329(f329(f240(x102901),f329(f329(f249(x102901),x102902),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102903)))),f2(x102901))) % 166.45/166.23 [10299]~P117(x102992)+E(x102991,f2(x102992))+~P1(f329(f329(f239(x102992),f329(f329(f82(x102992),f329(f329(f249(x102992),x102993),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102992),x102991),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x102992))) % 166.45/166.23 [10300]~P117(x103002)+E(x103001,f2(x103002))+~P1(f329(f329(f239(x103002),f329(f329(f82(x103002),f329(f329(f249(x103002),x103001),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x103002),x103003),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x103002))) % 166.45/166.23 [4870]~E(x48702,x48703)+~P67(x48701)+E(f329(f329(f23(x48701),x48702),x48703),f2(x48701)) % 166.45/166.23 [4871]~E(x48712,x48713)+~P68(x48711)+E(f329(f329(f23(x48711),x48712),x48713),f2(x48711)) % 166.45/166.23 [4884]~P148(x48841)+~E(x48843,f2(x48841))+E(f329(f329(f82(x48841),x48842),x48843),x48842) % 166.45/166.23 [4902]~P143(x49021)+~E(x49023,f2(x49021))+E(f329(f329(f83(x49021),x49022),x49023),f2(x49021)) % 166.45/166.23 [4903]~P143(x49031)+~E(x49032,f2(x49031))+E(f329(f329(f83(x49031),x49032),x49033),f2(x49031)) % 166.45/166.23 [4924]~E(x49243,f118(x49241))+~E(x49242,f118(x49241))+E(f329(f329(f137(x49241),x49242),x49243),f118(x49241)) % 166.45/166.23 [5014]~P148(x50142)+E(x50141,f2(x50142))+~E(f329(f329(f82(x50142),x50143),x50141),x50143) % 166.45/166.23 [5015]~P67(x50151)+~E(x50152,f329(f81(x50151),x50153))+E(f329(f329(f82(x50151),x50152),x50153),f2(x50151)) % 166.45/166.23 [5022]E(x50221,f118(x50222))+E(x50223,f2(a905))+~E(f329(f329(f178(x50222),x50223),x50221),f118(x50222)) % 166.45/166.23 [5028]~P67(x50283)+E(x50281,x50282)+~E(f329(f329(f23(x50283),x50281),x50282),f2(x50283)) % 166.45/166.23 [5029]~P68(x50293)+E(x50291,x50292)+~E(f329(f329(f23(x50293),x50291),x50292),f2(x50293)) % 166.45/166.23 [5043]~P144(x50432)+E(x50431,f2(x50432))+~E(f329(f329(f249(x50432),x50431),x50433),f2(x50432)) % 166.45/166.23 [5044]~P65(x50442)+E(x50441,f191(x50442))+~E(f329(f329(f115(x50442),x50443),x50441),f191(x50442)) % 166.45/166.23 [5045]~P65(x50452)+E(x50451,f191(x50452))+~E(f329(f329(f115(x50452),x50451),x50453),f191(x50452)) % 166.45/166.23 [5046]~P103(x50462)+E(x50461,f247(x50462))+~E(f329(f329(f106(x50462),x50463),x50461),f247(x50462)) % 166.45/166.23 [5047]~P103(x50472)+E(x50471,f247(x50472))+~E(f329(f329(f106(x50472),x50471),x50473),f247(x50472)) % 166.45/166.23 [5115]~P67(x51152)+E(x51151,f329(f81(x51152),x51153))+~E(f329(f329(f82(x51152),x51151),x51153),f2(x51152)) % 166.45/166.23 [5116]~P67(x51161)+E(f329(f81(x51161),x51162),x51163)+~E(f329(f329(f82(x51161),x51162),x51163),f2(x51161)) % 166.45/166.23 [5118]~E(x51182,x51183)+~P104(x51181)+P1(f329(f329(f239(x51181),x51182),x51183)) % 166.45/166.23 [5120]~E(x51202,x51203)+~P112(x51201)+P1(f329(f329(f239(x51201),x51202),x51203)) % 166.45/166.23 [5220]~P123(x52201)+~E(x52202,f329(f81(x52201),x52203))+E(f329(f329(f83(x52201),x52202),x52202),f329(f329(f83(x52201),x52203),x52203)) % 166.45/166.23 [5228]~P105(x52281)+~P12(x52281,x52283)+P12(x52281,f329(f329(f178(x52281),x52282),x52283)) % 166.45/166.23 [5229]~P105(x52291)+~P12(x52291,x52293)+P12(x52291,f329(f329(f141(x52291),x52292),x52293)) % 166.45/166.23 [5268]E(x52681,x52682)+E(x52683,f2(a905))+~E(f329(f329(f83(a905),x52683),x52681),f329(f329(f83(a905),x52683),x52682)) % 166.45/166.23 [5269]E(x52691,x52692)+E(x52693,f2(a905))+~E(f329(f329(f83(a905),x52691),x52693),f329(f329(f83(a905),x52692),x52693)) % 166.45/166.23 [5346]~E(x53462,x53463)+~P112(x53461)+E(f305(x53461,x53462,x53463),f329(f329(f311(x53461),x53462),f191(f913(x53461,a900)))) % 166.45/166.23 [5395]~E(x53951,x53952)+~P105(x53953)+~P1(f329(f329(f240(x53953),x53951),x53952)) % 166.45/166.23 [5396]~E(x53961,x53962)+~P112(x53963)+~P1(f329(f329(f240(x53963),x53961),x53962)) % 166.45/166.23 [5408]~P112(x54081)+E(f329(f304(x54081,x54082),x54083),f191(f913(x54081,a900)))+P1(f329(f329(f240(x54081),x54082),x54083)) % 166.45/166.23 [5456]~P112(x54561)+E(f305(x54561,x54562,x54563),f191(f913(x54561,a900)))+P1(f329(f329(f239(x54561),x54562),x54563)) % 166.45/166.23 [5457]~P112(x54571)+E(f307(x54571,x54572,x54573),f191(f913(x54571,a900)))+P1(f329(f329(f240(x54571),x54572),x54573)) % 166.45/166.23 [5458]~P112(x54581)+E(f191(f913(x54581,a900)),f305(x54581,x54582,x54583))+P1(f329(f329(f239(x54581),x54582),x54583)) % 166.45/166.23 [5459]~P112(x54591)+E(f191(f913(x54591,a900)),f307(x54591,x54592,x54593))+P1(f329(f329(f240(x54591),x54592),x54593)) % 166.45/166.23 [5466]~P106(x54661)+~E(f329(f329(f115(x54661),x54662),x54663),x54663)+P1(f329(f329(f239(x54661),x54662),x54663)) % 166.45/166.23 [5467]~P107(x54671)+~E(f329(f329(f106(x54671),x54672),x54673),x54672)+P1(f329(f329(f239(x54671),x54672),x54673)) % 166.45/166.23 [5468]~P105(x54681)+~E(f329(f329(f237(x54681),x54682),x54683),x54682)+P1(f329(f329(f239(x54681),x54682),x54683)) % 166.45/166.23 [5469]~P105(x54691)+~E(f329(f329(f238(x54691),x54692),x54693),x54693)+P1(f329(f329(f239(x54691),x54692),x54693)) % 166.45/166.23 [5488]~P105(x54881)+P12(x54881,x54882)+~P12(x54881,f329(f329(f154(x54881),x54883),x54882)) % 166.45/166.23 [5489]~P105(x54891)+P12(x54891,x54892)+~P12(x54891,f329(f329(f137(x54891),x54893),x54892)) % 166.45/166.23 [5490]~P105(x54901)+P12(x54901,x54902)+~P12(x54901,f329(f329(f137(x54901),x54902),x54903)) % 166.45/166.23 [5553]~P105(x55531)+P1(f329(f329(f239(x55531),x55533),x55532))+P1(f329(f329(f239(x55531),x55532),x55533)) % 166.45/166.23 [5558]~P105(x55581)+P1(f329(f329(f240(x55581),x55583),x55582))+P1(f329(f329(f239(x55581),x55582),x55583)) % 166.45/166.23 [5596]~P106(x55961)+E(f329(f329(f115(x55961),x55962),x55963),x55962)+~P1(f329(f329(f239(x55961),x55963),x55962)) % 166.45/166.23 [5598]~P106(x55981)+E(f329(f329(f115(x55981),x55982),x55983),x55983)+~P1(f329(f329(f239(x55981),x55982),x55983)) % 166.45/166.23 [5599]~P107(x55991)+E(f329(f329(f106(x55991),x55992),x55993),x55993)+~P1(f329(f329(f239(x55991),x55993),x55992)) % 166.45/166.23 [5601]~P107(x56011)+E(f329(f329(f106(x56011),x56012),x56013),x56012)+~P1(f329(f329(f239(x56011),x56012),x56013)) % 166.45/166.23 [5602]~P105(x56021)+E(f329(f329(f237(x56021),x56022),x56023),x56023)+~P1(f329(f329(f239(x56021),x56023),x56022)) % 166.45/166.23 [5604]~P105(x56041)+E(f329(f329(f237(x56041),x56042),x56043),x56042)+~P1(f329(f329(f239(x56041),x56042),x56043)) % 166.45/166.23 [5605]~P105(x56051)+E(f329(f329(f238(x56051),x56052),x56053),x56052)+~P1(f329(f329(f239(x56051),x56053),x56052)) % 166.45/166.23 [5607]~P105(x56071)+E(f329(f329(f238(x56071),x56072),x56073),x56073)+~P1(f329(f329(f239(x56071),x56072),x56073)) % 166.45/166.23 [5614]~P124(x56142)+E(x56141,f2(x56142))+E(f329(f329(f292(x56142),f329(f81(x56142),x56143)),f329(f81(x56142),x56141)),f329(f329(f292(x56142),x56143),x56141)) % 166.45/166.23 [5665]~P112(x56651)+E(f329(f304(x56651,x56652),x56653),f191(f913(x56651,a900)))+~P1(f329(f329(f239(x56651),x56653),x56652)) % 166.45/166.23 [5697]~P112(x56971)+E(f305(x56971,x56972,x56973),f191(f913(x56971,a900)))+~P1(f329(f329(f240(x56971),x56973),x56972)) % 166.45/166.23 [5698]~P112(x56981)+E(f307(x56981,x56982,x56983),f191(f913(x56981,a900)))+~P1(f329(f329(f239(x56981),x56983),x56982)) % 166.45/166.23 [5699]~P112(x56991)+E(f308(x56991,x56992,x56993),f191(f913(x56991,a900)))+~P1(f329(f329(f239(x56991),x56993),x56992)) % 166.45/166.23 [5742]~P114(x57421)+~P1(f329(x57422,x57423))+P1(f329(f329(f239(x57421),f243(x57421,x57422)),x57423)) % 166.45/166.23 [5752]~E(f329(f329(f23(a905),x57521),x57523),x57522)+E(x57521,f329(f329(f82(a905),x57522),x57523))+~P1(f329(f329(f239(a905),x57523),x57521)) % 166.45/166.23 [5753]~E(x57531,f329(f329(f82(a905),x57533),x57532))+E(f329(f329(f23(a905),x57531),x57532),x57533)+~P1(f329(f329(f239(a905),x57532),x57531)) % 166.45/166.23 [5798]~P1(f329(x57981,x57983))+P1(f329(x57981,f891(x57981,x57982)))+~P1(f329(f329(f239(a905),x57983),x57982)) % 166.45/166.23 [5799]~P1(f329(x57991,x57993))+P1(f329(x57991,f341(x57991,x57992)))+~P1(f329(f329(f240(a905),x57993),x57992)) % 166.45/166.23 [5807]~P112(x58071)+~E(f329(f304(x58071,x58072),x58073),f191(f913(x58071,a900)))+~P1(f329(f329(f240(x58071),x58072),x58073)) % 166.45/166.23 [5812]~P104(x58121)+~P1(f329(f329(f240(x58121),x58122),x58123))+P1(f329(f329(f239(x58121),x58122),x58123)) % 166.45/166.23 [5814]~P112(x58141)+~P1(f329(f329(f240(x58141),x58142),x58143))+P1(f329(f329(f239(x58141),x58142),x58143)) % 166.45/166.23 [5921]~P112(x59211)+~E(f305(x59211,x59212,x59213),f191(f913(x59211,a900)))+~P1(f329(f329(f239(x59211),x59212),x59213)) % 166.45/166.23 [5922]~P112(x59221)+~E(f307(x59221,x59222,x59223),f191(f913(x59221,a900)))+~P1(f329(f329(f240(x59221),x59222),x59223)) % 166.45/166.23 [5923]~P112(x59231)+~E(f191(f913(x59231,a900)),f305(x59231,x59232,x59233))+~P1(f329(f329(f239(x59231),x59232),x59233)) % 166.45/166.23 [5924]~P112(x59241)+~E(f191(f913(x59241,a900)),f307(x59241,x59242,x59243))+~P1(f329(f329(f240(x59241),x59242),x59243)) % 166.45/166.23 [5937]P1(f329(x59371,x59372))+~P1(f329(x59371,f895(x59371,x59373)))+~P1(f329(f329(f239(a905),x59372),x59373)) % 166.45/166.23 [5938]P1(f329(x59381,x59382))+~P1(f329(x59381,f342(x59381,x59383)))+~P1(f329(f329(f240(a905),x59382),x59383)) % 166.45/166.23 [5946]~E(x59461,f329(a117,x59463))+P1(f329(f329(f240(a905),x59461),f329(a117,x59462)))+~P1(f329(f329(f240(a905),x59463),x59462)) % 166.45/166.23 [5964]E(x59641,x59642)+~E(f329(f329(f83(a905),x59643),x59641),f329(f329(f83(a905),x59643),x59642))+~P1(f329(f329(f240(a905),f2(a905)),x59643)) % 166.45/166.23 [6020]E(f329(x60201,f886(x60201,x60202,x60203)),f80(a905))+~E(f329(f329(f6(x60203,a905),x60201),x60202),f80(a905))+~P1(f329(f63(x60203),x60202)) % 166.45/166.23 [6035]~P4(x60351)+P1(f329(f329(f239(x60351),x60352),f39(x60351,x60353)))+~P1(f329(f329(f331(x60351),x60352),x60353)) % 166.45/166.23 [6059]~P104(x60591)+~P1(f329(f329(f240(x60591),x60593),x60592))+~P1(f329(f329(f239(x60591),x60592),x60593)) % 166.45/166.23 [6063]~P104(x60631)+~P1(f329(f329(f240(x60631),x60633),x60632))+~P1(f329(f329(f240(x60631),x60632),x60633)) % 166.45/166.23 [6066]~P105(x60661)+~P1(f329(f329(f240(x60661),x60663),x60662))+~P1(f329(f329(f239(x60661),x60662),x60663)) % 166.45/166.23 [6067]~P105(x60671)+~P1(f329(f329(f240(x60671),x60673),x60672))+~P1(f329(f329(f240(x60671),x60672),x60673)) % 166.45/166.23 [6068]~P112(x60681)+~P1(f329(f329(f240(x60681),x60683),x60682))+~P1(f329(f329(f240(x60681),x60682),x60683)) % 166.45/166.23 [6098]~E(f329(x60982,f801(x60982,x60983,x60981)),f2(a905))+E(f329(f329(f6(x60981,a905),x60982),x60983),f2(a905))+~P1(f329(f63(x60981),x60983)) % 166.45/166.23 [6099]~E(f329(x60992,f449(x60992,x60993,x60991)),f80(a905))+E(f329(f329(f9(x60991,a905),x60992),x60993),f80(a905))+~P1(f329(f63(x60991),x60993)) % 166.45/166.23 [6115]~P113(x61151)+~P1(f329(f329(f239(x61151),x61153),x61152))+P1(f329(f329(f331(x61151),x61152),f329(f286(x61151),x61153))) % 166.45/166.23 [6116]~P113(x61161)+~P1(f329(f329(f240(x61161),x61163),x61162))+P1(f329(f329(f331(x61161),x61162),f329(f306(x61161),x61163))) % 166.45/166.23 [6117]~P113(x61171)+~P1(f329(f329(f240(x61171),x61172),x61173))+P1(f329(f329(f331(x61171),x61172),f329(f285(x61171),x61173))) % 166.45/166.23 [6118]~P113(x61181)+~P1(f329(f329(f239(x61181),x61182),x61183))+P1(f329(f329(f331(x61181),x61182),f329(f303(x61181),x61183))) % 166.45/166.23 [6130]E(f329(x61301,f802(x61301,x61302,x61303)),f329(a117,f2(a905)))+~E(f329(f329(f6(x61303,a905),x61301),x61302),f329(a117,f2(a905)))+~P1(f329(f63(x61303),x61302)) % 166.45/166.23 [6214]~P4(x62141)+~P1(f329(f329(f331(x62141),x62143),x62142))+P1(f329(f329(f239(x62141),f40(x62141,x62142)),x62143)) % 166.45/166.23 [6234]~P1(f329(f329(f239(a905),x62341),x62343))+P1(f329(f329(f239(a905),x62341),x62342))+~P1(f329(f329(f239(a905),x62343),x62342)) % 166.45/166.23 [6235]~P1(f329(f329(f239(a1),x62351),x62353))+P1(f329(f329(f239(a1),x62351),x62352))+~P1(f329(f329(f239(a1),x62353),x62352)) % 166.45/166.23 [6254]~P113(x62541)+~P1(f329(f329(f331(x62541),x62543),f329(f286(x62541),x62542)))+P1(f329(f329(f239(x62541),x62542),x62543)) % 166.45/166.23 [6255]~P113(x62551)+~P1(f329(f329(f331(x62551),x62552),f329(f303(x62551),x62553)))+P1(f329(f329(f239(x62551),x62552),x62553)) % 166.45/166.23 [6256]~P113(x62561)+~P1(f329(f329(f331(x62561),x62563),f329(f306(x62561),x62562)))+P1(f329(f329(f240(x62561),x62562),x62563)) % 166.45/166.23 [6257]~P113(x62571)+~P1(f329(f329(f331(x62571),x62572),f329(f285(x62571),x62573)))+P1(f329(f329(f240(x62571),x62572),x62573)) % 166.45/166.23 [6331]~P1(f329(x63311,x63312))+P1(f329(x63311,f813(x63311)))+~P1(f329(f329(f331(x63313),x63312),f247(f913(x63313,a900)))) % 166.45/166.23 [6437]~P112(x64371)+~P40(a905,x64371,x64372)+P1(f329(f329(f239(x64371),f329(x64372,x64373)),f329(x64372,f329(a117,x64373)))) % 166.45/166.23 [6471]~P72(x64711)+P1(f329(f329(f240(x64711),f2(x64711)),f474(x64713,x64712,x64711)))+P1(f329(f329(f239(x64711),x64712),x64713)) % 166.45/166.23 [6472]~P73(x64721)+P1(f329(f329(f240(x64721),f2(x64721)),f793(x64723,x64722,x64721)))+P1(f329(f329(f239(x64721),x64722),x64723)) % 166.45/166.23 [6545]~P83(x65451)+~P1(f329(f329(f239(x65451),x65453),f329(f81(x65451),x65452)))+P1(f329(f329(f239(x65451),x65452),f329(f81(x65451),x65453))) % 166.45/166.23 [6547]~P83(x65471)+~P1(f329(f329(f240(x65471),x65473),f329(f81(x65471),x65472)))+P1(f329(f329(f240(x65471),x65472),f329(f81(x65471),x65473))) % 166.45/166.23 [6559]~P1(f329(f329(f240(a905),x65591),x65593))+~P1(f329(f329(f240(a905),x65593),x65592))+P1(f329(f329(f240(a905),f329(a117,x65591)),x65592)) % 166.45/166.23 [6584]~P127(x65841)+P1(f329(f329(f239(x65841),f329(f105(x65841),x65842)),f329(f105(x65841),x65843)))+~P1(f329(f329(f239(a905),x65842),x65843)) % 166.45/166.23 [6585]~P117(x65851)+P1(f329(f329(f239(x65851),f329(f107(x65851),x65852)),f329(f107(x65851),x65853)))+~P1(f329(f329(f239(a1),x65852),x65853)) % 166.45/166.23 [6587]~P117(x65871)+P1(f329(f329(f240(x65871),f329(f107(x65871),x65872)),f329(f107(x65871),x65873)))+~P1(f329(f329(f240(a1),x65872),x65873)) % 166.45/166.23 [6588]~P127(x65881)+P1(f329(f329(f240(x65881),f329(f105(x65881),x65882)),f329(f105(x65881),x65883)))+~P1(f329(f329(f240(a905),x65882),x65883)) % 166.45/166.23 [6594]~P105(x65941)+E(f329(f329(f115(f913(x65941,a900)),f329(f285(x65941),x65942)),f329(f304(x65941,x65942),x65943)),f329(f285(x65941),x65943))+~P1(f329(f329(f239(x65941),x65942),x65943)) % 166.45/166.23 [6626]~P83(x66261)+~P1(f329(f329(f239(x66261),x66263),x66262))+P1(f329(f329(f239(x66261),f329(f81(x66261),x66262)),f329(f81(x66261),x66263))) % 166.45/166.23 [6628]~P99(x66281)+~P1(f329(f329(f239(x66281),x66283),x66282))+P1(f329(f329(f239(x66281),f329(f81(x66281),x66282)),f329(f81(x66281),x66283))) % 166.45/166.23 [6629]~P83(x66291)+~P1(f329(f329(f240(x66291),x66293),x66292))+P1(f329(f329(f240(x66291),f329(f81(x66291),x66292)),f329(f81(x66291),x66293))) % 166.45/166.23 [6663]~P105(x66631)+E(f329(f329(f115(f913(x66631,a900)),f329(f285(x66631),x66632)),f305(x66631,x66632,x66633)),f329(f303(x66631),x66633))+~P1(f329(f329(f239(x66631),x66632),x66633)) % 166.45/166.23 [6664]~P105(x66641)+E(f329(f329(f115(f913(x66641,a900)),f329(f303(x66641),x66642)),f307(x66641,x66642,x66643)),f329(f303(x66641),x66643))+~P1(f329(f329(f239(x66641),x66642),x66643)) % 166.45/166.23 [6665]~P105(x66651)+E(f329(f329(f115(f913(x66651,a900)),f329(f303(x66651),x66652)),f308(x66651,x66652,x66653)),f329(f285(x66651),x66653))+~P1(f329(f329(f240(x66651),x66652),x66653)) % 166.45/166.23 [6701]~P105(x67011)+E(f329(f329(f115(f913(x67011,a900)),f329(f304(x67011,x67012),x67013)),f329(f286(x67011),x67013)),f329(f286(x67011),x67012))+~P1(f329(f329(f239(x67011),x67012),x67013)) % 166.45/166.23 [6767]~P4(x67671)+~P1(f329(f329(f239(x67671),f329(x67672,x67673)),x67673))+P1(f329(f329(f239(x67671),f100(x67671,x67672)),x67673)) % 166.45/166.23 [6853]~P105(x68531)+E(f329(f329(f115(f913(x68531,a900)),f305(x68531,x68532,x68533)),f329(f306(x68531),x68533)),f329(f286(x68531),x68532))+~P1(f329(f329(f239(x68531),x68532),x68533)) % 166.45/166.23 [6854]~P105(x68541)+E(f329(f329(f115(f913(x68541,a900)),f307(x68541,x68542,x68543)),f329(f306(x68541),x68543)),f329(f306(x68541),x68542))+~P1(f329(f329(f239(x68541),x68542),x68543)) % 166.45/166.23 [6855]~P105(x68551)+E(f329(f329(f115(f913(x68551,a900)),f308(x68551,x68552,x68553)),f329(f286(x68551),x68553)),f329(f306(x68551),x68552))+~P1(f329(f329(f240(x68551),x68552),x68553)) % 166.45/166.23 [6874]P1(f329(x68741,x68742))+~P1(f329(f329(f239(a905),x68742),x68743))+P1(f329(f329(f331(a905),f895(x68741,x68743)),f305(a905,f2(a905),x68743))) % 166.45/166.23 [6908]E(x69081,x69082)+~E(f329(f329(f167(x69083),x69081),f680(x69083,x69082,x69081)),f329(f329(f167(x69083),x69082),f680(x69083,x69082,x69081)))+~E(f329(f192(f906(x69083)),x69081),f329(f192(f906(x69083)),x69082)) % 166.45/166.23 [6913]~E(x69133,f329(f329(f38(a905),x69131),x69132))+~P1(f329(f329(f240(a905),f2(a905)),x69132))+P1(f329(f329(f240(a905),x69131),f329(f329(f83(a905),x69132),f329(a117,x69133)))) % 166.45/166.23 [6929]~P1(f329(x69291,x69293))+~P1(f329(f329(f239(a905),x69293),x69292))+P1(f329(f329(f331(a905),f891(x69291,x69292)),f305(a905,f2(a905),x69292))) % 166.45/166.23 [6966]~P1(f329(x69661,x69663))+P1(f329(x69661,f896(x69661,x69662)))+~P1(f329(f329(f331(a905),x69663),f305(a905,f2(a905),x69662))) % 166.45/166.23 [6984]~P127(x69843)+~P1(f329(f329(f239(x69843),f329(f105(x69843),x69841)),f329(f105(x69843),x69842)))+P1(f329(f329(f239(a905),x69841),x69842)) % 166.45/166.23 [6985]~P117(x69853)+~P1(f329(f329(f239(x69853),f329(f107(x69853),x69851)),f329(f107(x69853),x69852)))+P1(f329(f329(f239(a1),x69851),x69852)) % 166.45/166.23 [6987]~P127(x69873)+~P1(f329(f329(f240(x69873),f329(f105(x69873),x69871)),f329(f105(x69873),x69872)))+P1(f329(f329(f240(a905),x69871),x69872)) % 166.45/166.23 [6988]~P117(x69883)+~P1(f329(f329(f240(x69883),f329(f107(x69883),x69881)),f329(f107(x69883),x69882)))+P1(f329(f329(f240(a1),x69881),x69882)) % 166.45/166.23 [7005]~P127(x70051)+~P1(f329(f329(f240(x70051),f80(x70051)),x70052))+P1(f329(f329(f240(x70051),f80(x70051)),f329(f329(f249(x70051),x70052),f329(a117,x70053)))) % 166.45/166.23 [7007]~P83(x70071)+~P1(f329(f329(f239(x70071),f329(f81(x70071),x70073)),f329(f81(x70071),x70072)))+P1(f329(f329(f239(x70071),x70072),x70073)) % 166.45/166.23 [7008]~P99(x70081)+~P1(f329(f329(f239(x70081),f329(f81(x70081),x70083)),f329(f81(x70081),x70082)))+P1(f329(f329(f239(x70081),x70082),x70083)) % 166.45/166.23 [7009]~P83(x70091)+~P1(f329(f329(f240(x70091),f329(f81(x70091),x70093)),f329(f81(x70091),x70092)))+P1(f329(f329(f240(x70091),x70092),x70093)) % 166.45/166.23 [7035]P1(f329(x70351,x70352))+~P1(f329(x70351,f897(x70351,x70353)))+~P1(f329(f329(f331(a905),x70352),f305(a905,f2(a905),x70353))) % 166.45/166.23 [7054]~P72(x70541)+P1(f329(f329(f240(x70541),f474(x70543,x70542,x70541)),f80(x70541)))+P1(f329(f329(f239(x70541),x70542),x70543)) % 166.45/166.23 [7074]~E(f47(a905,x70743,x70742),f47(a905,x70741,x70742))+E(f329(f329(f82(a905),x70741),f329(f329(f83(a905),x70742),f491(x70741,x70742,x70743))),x70743)+~P1(f329(f329(f239(a905),x70741),x70743)) % 166.45/166.23 [7127]E(f329(f329(f6(x71271,a905),x71272),x71273),f2(a905))+~P1(f329(f63(x71271),x71273))+P1(f329(f329(f331(x71271),f801(x71272,x71273,x71271)),x71273)) % 166.45/166.23 [7128]E(f329(f329(f9(x71281,a905),x71282),x71283),f80(a905))+~P1(f329(f63(x71281),x71283))+P1(f329(f329(f331(x71281),f449(x71282,x71283,x71281)),x71283)) % 166.45/166.23 [7150]~P105(x71501)+~P1(f329(f329(f239(x71501),x71502),x71503))+P1(f329(f329(f239(f913(x71501,a900)),f329(f285(x71501),x71502)),f329(f285(x71501),x71503))) % 166.45/166.23 [7151]~P112(x71511)+~P1(f329(f329(f239(x71511),x71512),x71513))+P1(f329(f329(f239(f913(x71511,a900)),f329(f303(x71511),x71512)),f329(f303(x71511),x71513))) % 166.45/166.23 [7152]~P112(x71521)+~P1(f329(f329(f239(x71521),x71523),x71522))+P1(f329(f329(f239(f913(x71521,a900)),f329(f286(x71521),x71522)),f329(f286(x71521),x71523))) % 166.45/166.23 [7153]~P105(x71531)+~P1(f329(f329(f239(x71531),x71533),x71532))+P1(f329(f329(f239(f913(x71531,a900)),f329(f306(x71531),x71532)),f329(f306(x71531),x71533))) % 166.45/166.23 [7154]~P105(x71541)+~P1(f329(f329(f240(x71541),x71542),x71543))+P1(f329(f329(f240(f913(x71541,a900)),f329(f285(x71541),x71542)),f329(f285(x71541),x71543))) % 166.45/166.23 [7165]~P4(x71651)+P1(f329(f329(f239(x71651),x71652),f40(x71651,x71653)))+P1(f329(f329(f331(x71651),f639(x71653,x71652,x71651)),x71653)) % 166.45/166.23 [7171]~P83(x71711)+P1(f329(f329(f239(x71711),f329(f329(f23(x71711),x71712),x71713)),f2(x71711)))+~P1(f329(f329(f239(x71711),x71712),x71713)) % 166.45/166.23 [7172]~P83(x71721)+P1(f329(f329(f240(x71721),f329(f329(f23(x71721),x71722),x71723)),f2(x71721)))+~P1(f329(f329(f240(x71721),x71722),x71723)) % 166.45/166.23 [7213]P1(f329(x72131,x72132))+P1(f329(f329(f239(a905),f897(x72131,x72133)),x72133))+~P1(f329(f329(f331(a905),x72132),f305(a905,f2(a905),x72133))) % 166.45/166.23 [7253]~E(f329(f329(f6(x72531,a905),x72532),x72533),f80(a905))+~P1(f329(f63(x72531),x72533))+P1(f329(f329(f331(x72531),f886(x72532,x72533,x72531)),x72533)) % 166.45/166.23 [7254]~P1(f329(x72541,x72543))+P1(f329(f329(f239(a905),f896(x72541,x72542)),x72542))+~P1(f329(f329(f331(a905),x72543),f305(a905,f2(a905),x72542))) % 166.45/166.23 [7293]~P4(x72931)+P1(f329(f329(f331(x72931),f640(x72933,x72932,x72931)),x72932))+P1(f329(f329(f239(x72931),f39(x72931,x72932)),x72933)) % 166.45/166.23 [7327]~E(f329(f329(f6(x73271,a905),x73272),x73273),f329(a117,f2(a905)))+~P1(f329(f63(x73271),x73273))+P1(f329(f329(f331(x73271),f802(x73272,x73273,x73271)),x73273)) % 166.45/166.23 [7338]E(x73381,f2(a905))+P1(f329(x73382,f47(a905,x73383,x73381)))+P1(f329(f329(f240(a905),f487(x73381,x73383,x73382)),x73381)) % 166.45/166.23 [7456]~P1(f329(x74561,x74562))+P1(f329(x74561,f47(a905,x74562,x74563)))+P1(f329(f329(f240(a905),f487(x74563,x74562,x74561)),x74563)) % 166.45/166.23 [7575]E(x75751,f118(x75752))+~P1(f329(f329(f331(f906(x75752)),x75751),f164(x75752,x75753)))+P1(f329(f329(f331(x75752),f714(x75753,x75751,x75752)),x75753)) % 166.45/166.23 [7597]~P105(x75971)+E(f329(f329(f115(f913(x75971,a900)),f329(f329(f311(x75971),x75972),f191(f913(x75971,a900)))),f308(x75971,x75972,x75973)),f329(f304(x75971,x75972),x75973))+~P1(f329(f329(f240(x75971),x75972),x75973)) % 166.45/166.23 [7620]~P105(x76201)+E(f329(f329(f115(f913(x76201,a900)),f329(f329(f311(x76201),x76202),f191(f913(x76201,a900)))),f307(x76201,x76202,x76203)),f305(x76201,x76202,x76203))+~P1(f329(f329(f239(x76201),x76202),x76203)) % 166.45/166.23 [7726]~P105(x77261)+P1(f329(f329(f239(x77261),x77262),x77263))+~P1(f329(f329(f239(f913(x77261,a900)),f329(f306(x77261),x77263)),f329(f306(x77261),x77262))) % 166.45/166.23 [7727]~P112(x77271)+P1(f329(f329(f239(x77271),x77272),x77273))+~P1(f329(f329(f239(f913(x77271,a900)),f329(f286(x77271),x77273)),f329(f286(x77271),x77272))) % 166.45/166.23 [7728]~P105(x77281)+P1(f329(f329(f239(x77281),x77282),x77283))+~P1(f329(f329(f239(f913(x77281,a900)),f329(f285(x77281),x77282)),f329(f285(x77281),x77283))) % 166.45/166.23 [7729]~P112(x77291)+P1(f329(f329(f239(x77291),x77292),x77293))+~P1(f329(f329(f239(f913(x77291,a900)),f329(f303(x77291),x77292)),f329(f303(x77291),x77293))) % 166.45/166.23 [7730]~P105(x77301)+P1(f329(f329(f240(x77301),x77302),x77303))+~P1(f329(f329(f240(f913(x77301,a900)),f329(f285(x77301),x77302)),f329(f285(x77301),x77303))) % 166.45/166.23 [7754]~P83(x77541)+~P1(f329(f329(f239(x77541),f329(f329(f23(x77541),x77542),x77543)),f2(x77541)))+P1(f329(f329(f239(x77541),x77542),x77543)) % 166.45/166.23 [7755]~P83(x77551)+~P1(f329(f329(f240(x77551),f329(f329(f23(x77551),x77552),x77553)),f2(x77551)))+P1(f329(f329(f240(x77551),x77552),x77553)) % 166.45/166.23 [7918]E(x79181,f2(a905))+~E(f329(f145(a905,a905,f82(a905),x79182),x79183),f2(a905))+~P1(f329(f329(f331(a905),x79181),f329(f175(a905),x79183))) % 166.45/166.23 [7922]~P4(x79221)+~P1(f329(f329(f239(x79221),f640(x79223,x79222,x79221)),x79223))+P1(f329(f329(f239(x79221),f39(x79221,x79222)),x79223)) % 166.45/166.23 [8076]P1(f329(f329(f239(a1),f2(a1)),f479(x80761,x80762,x80763)))+P1(f329(f329(x80762,f329(f329(f38(a1),x80761),x80763)),f47(a1,x80761,x80763)))+~P1(f329(f329(f240(a1),f2(a1)),x80763)) % 166.45/166.23 [8174]E(x81741,x81742)+~E(f329(f192(f906(x81743)),x81741),f329(f192(f906(x81743)),x81742))+~P1(f329(f329(f262(x81743,x81743,a900),a326),f689(x81743,x81741,x81742))) % 166.45/166.23 [8245]~P37(x82452,x82453)+E(x82451,f191(f913(x82452,a900)))+~P1(f329(f329(f239(f913(x82452,a900)),x82451),f329(f288(x82452,x82452,x82453),x82451))) % 166.45/166.23 [8273]~P73(x82731)+~P1(f329(f329(f239(x82731),x82732),f329(f329(f82(x82731),x82733),f793(x82733,x82732,x82731))))+P1(f329(f329(f239(x82731),x82732),x82733)) % 166.45/166.23 [8309]P55(x83091,x83092,x83093)+P1(f329(f329(f331(x83091),f562(x83093,x83092,x83091)),x83092))+P1(f329(f329(f331(f912(x83091,x83091)),f563(x83093,x83092,x83091)),x83093)) % 166.45/166.23 [8331]P1(f329(f329(x83312,f329(f329(f38(a1),x83311),x83313)),f47(a1,x83311,x83313)))+~P1(f329(f329(f240(a1),f2(a1)),x83313))+P1(f329(f329(f240(a1),f479(x83311,x83312,x83313)),x83313)) % 166.45/166.23 [8355]E(f329(f312(a905,a905,f329(f329(f7(a905,a905,a905),f23(a905)),x83551)),f329(f304(a905,x83552),x83553)),f191(f913(a905,a900)))+P1(f329(f329(f240(a905),x83551),x83553))+P1(f329(f329(f240(a905),x83552),x83553)) % 166.45/166.23 [8466]E(f329(f312(a905,a905,f329(f329(f7(a905,a905,a905),f23(a905)),x84661)),f329(f304(a905,x84662),x84663)),f329(f329(f311(a905),f2(a905)),f191(f913(a905,a900))))+P1(f329(f329(f240(a905),x84661),x84663))+~P1(f329(f329(f240(a905),x84662),x84663)) % 166.45/166.23 [8480]~P105(x84801)+E(f152(x84801,x84801,f5(x84801),x84802,x84803),x84803)+~P1(f329(f329(f331(x84801),x84802),f329(f175(x84801),x84803))) % 166.45/166.23 [8494]P24(x84941,x84941,x84942,x84943)+~P1(f329(f63(x84941),x84943))+~P1(f329(f329(f239(f913(x84941,a900)),x84943),f329(f312(x84941,x84941,x84942),x84943))) % 166.45/166.23 [8519]E(f329(f329(f82(a1),f329(f329(f83(a1),x85191),f480(x85192,x85193,x85191))),f479(x85192,x85193,x85191)),x85192)+P1(f329(f329(x85193,f329(f329(f38(a1),x85192),x85191)),f47(a1,x85192,x85191)))+~P1(f329(f329(f240(a1),f2(a1)),x85191)) % 166.45/166.23 [8765]~P1(f329(f329(x87651,f480(x87652,x87651,x87653)),f479(x87652,x87651,x87653)))+P1(f329(f329(x87651,f329(f329(f38(a1),x87652),x87653)),f47(a1,x87652,x87653)))+~P1(f329(f329(f240(a1),f2(a1)),x87653)) % 166.45/166.23 [9647]~P1(f329(f63(x96471),x96472))+~P1(f329(f329(f331(x96471),x96473),x96472))+P1(f329(f329(f240(a905),f329(f37(x96471),f329(f329(f23(f913(x96471,a900)),x96472),f329(f329(f311(x96471),x96473),f191(f913(x96471,a900)))))),f329(f37(x96471),x96472))) % 166.45/166.23 [10238]P55(x102381,x102382,x102383)+~P1(f329(f329(f262(x102381,x102381,a900),f329(f329(f7(x102381,f913(x102381,a900),f913(x102381,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x102381,a900),f913(x102381,a900)),x102381),f8(a900,a900,x102381)),f329(f329(f8(a900,f913(a900,a900),x102381),a327),f329(f329(f7(x102381,f913(x102381,a900),a900),f331(x102381)),x102382)))),f329(f329(f7(x102381,f913(x102381,a900),a900),f331(x102381)),x102382))),f563(x102383,x102382,x102381)))+P1(f329(f329(f331(x102381),f562(x102383,x102382,x102381)),x102382)) % 166.45/166.23 [5575]~P124(x55752)+E(x55751,f2(x55752))+E(f329(f329(f292(x55752),x55753),f329(f81(x55752),x55751)),f329(f81(x55752),f329(f329(f292(x55752),x55753),x55751))) % 166.45/166.23 [5713]~E(x57133,f191(f913(x57131,a900)))+~E(x57132,f191(f913(x57131,a900)))+E(f329(f329(f115(f913(x57131,a900)),x57132),x57133),f191(f913(x57131,a900))) % 166.45/166.23 [5772]~E(x57723,f2(a905))+~P1(f329(x57721,f2(a905)))+P1(f329(x57721,f329(f329(f38(a905),x57722),x57723))) % 166.45/166.23 [5913]~P73(x59132)+E(x59131,f2(x59132))+E(f329(f329(f292(x59132),f329(f77(x59132),x59133)),f329(f77(x59132),x59131)),f329(f77(x59132),f329(f329(f292(x59132),x59133),x59131))) % 166.45/166.23 [6085]~P1(f329(f63(x60851),x60853))+E(f329(f37(x60851),f329(f329(f311(x60851),x60852),x60853)),f329(a117,f329(f37(x60851),x60853)))+P1(f329(f329(f331(x60851),x60852),x60853)) % 166.45/166.23 [6163]~E(x61632,f2(a905))+P1(f329(x61631,f2(a905)))+~P1(f329(x61631,f329(f329(f38(a905),x61633),x61632))) % 166.45/166.23 [6180]~P1(f329(f63(x61801),x61803))+E(f329(f37(x61801),f329(f329(f311(x61801),x61802),x61803)),f329(f37(x61801),x61803))+~P1(f329(f329(f331(x61801),x61802),x61803)) % 166.45/166.23 [6216]~P1(f329(f63(x62161),x62163))+E(f329(f37(x62161),f329(f329(f311(x62161),x62162),x62163)),f329(f329(f82(a905),f80(a905)),f329(f37(x62161),x62163)))+P1(f329(f329(f331(x62161),x62162),x62163)) % 166.45/166.23 [6332]E(f329(f329(f82(a905),x63321),f877(x63321,x63322,x63323)),x63322)+~P1(f329(x63323,f2(a905)))+P1(f329(x63323,f329(f329(f23(a905),x63322),x63321))) % 166.45/166.23 [6333]E(f329(f329(f82(a905),x63331),f879(x63331,x63332,x63333)),x63332)+~P1(f329(x63333,f2(a905)))+P1(f329(x63333,f329(f329(f23(a905),x63332),x63331))) % 166.45/166.23 [6379]~P4(x63791)+~P1(f329(f63(x63791),x63793))+E(f329(f329(f66(x63791,x63791,f115(x63791)),x63792),x63793),f329(f329(f115(x63791),x63792),f39(x63791,x63793))) % 166.45/166.23 [6380]~P4(x63801)+~P1(f329(f63(x63801),x63803))+E(f329(f329(f66(x63801,x63801,f106(x63801)),x63802),x63803),f329(f329(f106(x63801),x63802),f40(x63801,x63803))) % 166.45/166.23 [6386]~P97(x63861)+~E(f329(f108(x63861),x63862),f329(f108(x63861),x63863))+P29(x63861,f329(f108(x63861),f329(f329(f82(a1),x63862),f329(f81(a1),x63863)))) % 166.45/166.23 [6395]~P142(x63951)+E(f329(f329(f23(x63951),f329(f105(x63951),x63952)),f329(f105(x63951),x63953)),f329(f105(x63951),f329(f329(f23(a905),x63952),x63953)))+~P1(f329(f329(f239(a905),x63953),x63952)) % 166.45/166.23 [6482]E(f329(f329(f82(a905),x64821),f877(x64821,x64822,x64823)),x64822)+P1(f329(f329(f240(a905),x64822),x64821))+P1(f329(x64823,f329(f329(f23(a905),x64822),x64821))) % 166.45/166.23 [6483]E(f329(f329(f82(a905),x64831),f879(x64831,x64832,x64833)),x64832)+P1(f329(f329(f240(a905),x64832),x64831))+P1(f329(x64833,f329(f329(f23(a905),x64832),x64831))) % 166.45/166.23 [6502]~P117(x65021)+E(f329(f329(f83(x65021),f329(f77(x65021),x65022)),x65023),f329(f77(x65021),f329(f329(f83(x65021),x65022),x65023)))+~P1(f329(f329(f239(x65021),f2(x65021)),x65023)) % 166.45/166.23 [6503]~P72(x65031)+E(f329(f329(f292(x65031),f329(f77(x65031),x65032)),x65033),f329(f77(x65031),f329(f329(f292(x65031),x65032),x65033)))+~P1(f329(f329(f240(x65031),f2(x65031)),x65033)) % 166.45/166.23 [6511]~P2(x65111)+~P1(f329(f63(x65111),x65113))+E(f329(f329(f66(x65111,x65111,f106(x65111)),x65112),x65113),f10(x65111,f329(f329(f311(x65111),x65112),x65113))) % 166.45/166.23 [6512]~P2(x65121)+~P1(f329(f63(x65121),x65123))+E(f329(f329(f66(x65121,x65121,f115(x65121)),x65122),x65123),f13(x65121,f329(f329(f311(x65121),x65122),x65123))) % 166.45/166.23 [6513]~P105(x65131)+~P1(f329(f63(x65131),x65133))+E(f329(f329(f66(x65131,x65131,f237(x65131)),x65132),x65133),f14(x65131,f329(f329(f311(x65131),x65132),x65133))) % 166.45/166.23 [6514]~P105(x65141)+~P1(f329(f63(x65141),x65143))+E(f329(f329(f66(x65141,x65141,f238(x65141)),x65142),x65143),f15(x65141,f329(f329(f311(x65141),x65142),x65143))) % 166.45/166.23 [6561]E(x65611,f118(x65612))+~E(f182(x65612,x65613),f118(f906(x65612)))+~P1(f329(f329(f331(f906(x65612)),x65611),f329(f175(f906(x65612)),x65613))) % 166.45/166.23 [6604]~P1(f329(f140(x66041),x66043))+P1(f329(f329(f331(x66041),x66042),f329(f175(x66041),x66043)))+P1(f329(f140(x66041),f329(f329(f154(x66041),x66042),x66043))) % 166.45/166.23 [6615]~P100(x66151)+~P1(f329(f63(x66151),x66153))+E(f329(f65(x66151,f83(x66151)),f329(f329(f311(x66151),x66152),x66153)),f329(f329(f66(x66151,x66151,f83(x66151)),x66152),x66153)) % 166.45/166.23 [6637]~P105(x66371)+~P1(f329(f63(x66371),x66373))+E(f11(x66371,f237(x66371),f329(f329(f311(x66371),x66372),x66373)),f329(f329(f66(x66371,x66371,f237(x66371)),x66372),x66373)) % 166.45/166.23 [6638]~P105(x66381)+~P1(f329(f63(x66381),x66383))+E(f12(x66381,f238(x66381),f329(f329(f311(x66381),x66382),x66383)),f329(f329(f66(x66381,x66381,f238(x66381)),x66382),x66383)) % 166.45/166.23 [6640]P1(f329(x66401,f2(a905)))+~P1(f329(f329(f240(a905),x66402),x66403))+~P1(f329(x66401,f329(f329(f23(a905),x66402),x66403))) % 166.45/166.23 [6661]~P89(x66611)+P1(f329(f329(f239(x66611),x66612),x66613))+~P1(f329(f329(f239(x66611),f329(f77(x66611),x66612)),x66613)) % 166.45/166.23 [6662]~P117(x66621)+P1(f329(f329(f240(x66621),x66622),x66623))+~P1(f329(f329(f240(x66621),f329(f77(x66621),x66622)),x66623)) % 166.45/166.23 [6680]E(x66801,f118(x66802))+E(f329(f144(x66802),f329(f329(f141(x66802),x66803),x66801)),f329(f329(f167(x66802),x66801),x66803))+~P1(f329(f329(f240(a905),x66803),f329(f192(f906(x66802)),x66801))) % 166.45/166.23 [6732]~P1(f329(x67321,x67323))+P1(f329(x67321,f347(x67321,x67322)))+~P1(f329(f329(f331(a905),x67323),f329(f304(a905,f2(a905)),x67322))) % 166.45/166.23 [6752]P1(f329(x67521,x67522))+~P1(f329(f329(f240(a905),x67522),x67523))+P1(f329(f329(f331(a905),f342(x67521,x67523)),f329(f304(a905,f2(a905)),x67523))) % 166.45/166.23 [6769]~P127(x67691)+~P1(f329(f329(f239(x67691),f2(x67691)),x67692))+P1(f329(f329(f239(x67691),f2(x67691)),f329(f329(f249(x67691),x67692),x67693))) % 166.45/166.23 [6770]~P127(x67701)+~P1(f329(f329(f239(x67701),f80(x67701)),x67702))+P1(f329(f329(f239(x67701),f80(x67701)),f329(f329(f249(x67701),x67702),x67703))) % 166.45/166.23 [6772]~P127(x67721)+~P1(f329(f329(f240(x67721),f2(x67721)),x67722))+P1(f329(f329(f240(x67721),f2(x67721)),f329(f329(f249(x67721),x67722),x67723))) % 166.45/166.23 [6796]~P1(f329(x67961,x67963))+~P1(f329(f329(f240(a905),x67963),x67962))+P1(f329(f329(f331(a905),f341(x67961,x67962)),f329(f304(a905,f2(a905)),x67962))) % 166.45/166.23 [6805]P1(f329(f63(x68051),x68052))+~P1(f329(f63(x68051),x68053))+~P1(f329(f329(f239(f913(x68051,a900)),x68052),x68053)) % 166.45/166.23 [6812]P1(f329(x68121,x68122))+~P1(f329(x68121,f345(x68121,x68123)))+~P1(f329(f329(f331(a905),x68122),f329(f304(a905,f2(a905)),x68123))) % 166.45/166.23 [6823]E(x68231,f2(a905))+P1(f329(x68232,f475(x68231,x68233,x68232)))+~P1(f329(x68232,f329(f329(f38(a905),x68233),x68231))) % 166.45/166.23 [6830]~P129(x68302)+E(x68301,f2(x68302))+~E(f329(f329(f82(x68302),f329(f329(f83(x68302),x68303),x68303)),f329(f329(f83(x68302),x68301),x68301)),f2(x68302)) % 166.45/166.23 [6831]~P129(x68312)+E(x68311,f2(x68312))+~E(f329(f329(f82(x68312),f329(f329(f83(x68312),x68311),x68311)),f329(f329(f83(x68312),x68313),x68313)),f2(x68312)) % 166.45/166.23 [6875]E(x68751,f2(a905))+~P1(f329(x68752,f476(x68751,x68753,x68752)))+P1(f329(x68752,f329(f329(f38(a905),x68753),x68751))) % 166.45/166.23 [6880]~P105(x68801)+~P12(x68801,x68803)+P12(x68801,f329(f329(f151(x68801,x68801,f5(x68801)),x68802),x68803)) % 166.45/166.23 [6922]P1(f329(x69221,f475(x69222,x69223,x69221)))+P1(f329(x69221,f2(a905)))+~P1(f329(x69221,f329(f329(f38(a905),x69223),x69222))) % 166.45/166.23 [6928]~P97(x69281)+E(f329(f108(x69281),x69282),f329(f108(x69281),x69283))+~P29(x69281,f329(f108(x69281),f329(f329(f82(a1),x69282),f329(f81(a1),x69283)))) % 166.45/166.23 [6991]E(x69911,f2(a1))+E(x69912,f2(a1))+~P1(f329(f51(x69912,x69912),f329(f329(f257(a1,a1),x69913),x69911))) % 166.45/166.23 [6992]E(x69921,f80(a1))+E(x69922,f2(a1))+~P1(f329(f51(x69922,x69922),f329(f329(f257(a1,a1),x69921),x69923))) % 166.45/166.23 [7006]P1(f329(x70061,x70062))+P1(f329(f329(f240(a905),f345(x70061,x70063)),x70063))+~P1(f329(f329(f331(a905),x70062),f329(f304(a905,f2(a905)),x70063))) % 166.45/166.23 [7031]~P1(f329(x70311,f877(x70313,x70312,x70311)))+~P1(f329(x70311,f2(a905)))+P1(f329(x70311,f329(f329(f23(a905),x70312),x70313))) % 166.45/166.23 [7032]~P1(f329(x70321,f879(x70323,x70322,x70321)))+~P1(f329(x70321,f2(a905)))+P1(f329(x70321,f329(f329(f23(a905),x70322),x70323))) % 166.45/166.23 [7033]~P1(f329(x70331,f476(x70333,x70332,x70331)))+~P1(f329(x70331,f2(a905)))+P1(f329(x70331,f329(f329(f38(a905),x70332),x70333))) % 166.45/166.23 [7050]~P1(f329(x70501,x70503))+P1(f329(f329(f240(a905),f347(x70501,x70502)),x70502))+~P1(f329(f329(f331(a905),x70503),f329(f304(a905,f2(a905)),x70502))) % 166.45/166.23 [7051]E(f329(f329(f23(a905),f329(f329(f23(a905),x70511),x70512)),f329(f329(f23(a905),x70513),x70512)),f329(f329(f23(a905),x70511),x70513))+~P1(f329(f329(f239(a905),x70512),x70511))+~P1(f329(f329(f239(a905),x70512),x70513)) % 166.45/166.23 [7087]~P83(x70871)+~P1(f329(f329(f239(x70871),f329(f81(x70871),x70873)),x70872))+P1(f329(f329(f239(x70871),f329(f81(x70871),x70872)),x70873)) % 166.45/166.23 [7089]~P89(x70891)+~P1(f329(f329(f239(x70891),f329(f77(x70891),x70892)),x70893))+P1(f329(f329(f239(x70891),f329(f81(x70891),x70892)),x70893)) % 166.45/166.23 [7091]~P83(x70911)+~P1(f329(f329(f240(x70911),f329(f81(x70911),x70913)),x70912))+P1(f329(f329(f240(x70911),f329(f81(x70911),x70912)),x70913)) % 166.45/166.23 [7092]~P117(x70921)+~P1(f329(f329(f240(x70921),f329(f77(x70921),x70922)),x70923))+P1(f329(f329(f240(x70921),f329(f81(x70921),x70922)),x70923)) % 166.45/166.23 [7123]~P1(f329(x71233,f877(x71232,x71231,x71233)))+P1(f329(f329(f240(a905),x71231),x71232))+P1(f329(x71233,f329(f329(f23(a905),x71231),x71232))) % 166.45/166.23 [7124]~P1(f329(x71243,f879(x71242,x71241,x71243)))+P1(f329(f329(f240(a905),x71241),x71242))+P1(f329(x71243,f329(f329(f23(a905),x71241),x71242))) % 166.45/166.23 [7175]~E(f646(x71753,x71752,x71751),f647(x71753,x71752,x71751))+E(f329(f329(f106(f913(x71751,a900)),x71752),f39(f913(x71751,a900),x71753)),f191(f913(x71751,a900)))+P1(f329(f329(f331(f913(x71751,a900)),x71752),x71753)) % 166.45/166.23 [7183]~P1(f329(f63(x71831),x71833))+P1(f329(f63(x71831),f40(f913(x71831,a900),x71832)))+~P1(f329(f329(f331(f913(x71831,a900)),x71833),x71832)) % 166.45/166.23 [7242]~P105(x72421)+E(f329(f329(f115(f913(x72421,a900)),f329(f304(x72421,x72422),x72423)),f329(f329(f311(x72421),x72423),f191(f913(x72421,a900)))),f305(x72421,x72422,x72423))+~P1(f329(f329(f239(x72421),x72422),x72423)) % 166.45/166.23 [7243]E(x72431,f2(a905))+P1(f329(f329(f240(a905),f478(x72431,x72433,x72432)),x72431))+P1(f329(x72432,f329(f329(f38(a905),x72433),x72431))) % 166.45/166.23 [7272]P1(f329(f329(f240(a905),f329(f192(f906(x72721)),x72722)),f804(x72723,x72721)))+~P1(f329(f63(f906(x72721)),x72723))+~P1(f329(f329(f331(f906(x72721)),x72722),x72723)) % 166.45/166.23 [7278]E(x72781,x72782)+~P1(f329(f329(f239(f913(x72783,a900)),x72781),x72782))+P1(f329(f329(f240(f913(x72783,a900)),x72781),x72782)) % 166.45/166.23 [7290]E(x72901,x72902)+~E(f329(f192(f906(x72903)),x72901),f329(f192(f906(x72903)),x72902))+P1(f329(f329(f240(a905),f680(x72903,x72901,x72902)),f329(f192(f906(x72903)),x72902))) % 166.45/166.23 [7339]P7(x73391,x73392,x73393)+~E(f329(f269(x73391,x73391),x73393),x73392)+~E(f329(f329(f291(x73391,x73391,x73391),f329(f289(x73391,x73391),x73393)),x73393),x73393) % 166.45/166.23 [7421]~P1(f329(x74211,f2(a905)))+P1(f329(f329(f240(a905),f478(x74213,x74212,x74211)),x74213))+P1(f329(x74211,f329(f329(f38(a905),x74212),x74213))) % 166.45/166.23 [7433]~P105(x74331)+E(f329(f329(f115(f913(x74331,a900)),f308(x74331,x74332,x74333)),f329(f329(f311(x74331),x74333),f191(f913(x74331,a900)))),f307(x74331,x74332,x74333))+~P1(f329(f329(f240(x74331),x74332),x74333)) % 166.45/166.23 [7528]~P1(f329(f63(x75281),x75283))+P1(f329(f329(f239(a905),f329(f37(x75281),x75282)),f329(f37(x75281),x75283)))+~P1(f329(f329(f239(f913(x75281,a900)),x75282),x75283)) % 166.45/166.23 [7529]~P1(f329(f63(x75291),x75293))+P1(f329(f329(f240(a905),f329(f37(x75291),x75292)),f329(f37(x75291),x75293)))+~P1(f329(f329(f240(f913(x75291,a900)),x75292),x75293)) % 166.45/166.23 [7569]~P1(f329(x75693,x75692))+P1(f329(f329(f197(x75691),x75692),f570(x75692,x75691,x75693)))+~P1(f329(f329(f197(f31(x75693,x75691)),x75692),x75692)) % 166.45/166.23 [7663]E(x76631,x76632)+~P1(f329(f329(f239(f913(x76633,a900)),x76632),x76631))+~P1(f329(f329(f239(f913(x76633,a900)),x76631),x76632)) % 166.45/166.23 [7666]~P105(x76661)+P12(x76661,x76662)+~P12(x76661,f329(f329(f151(x76661,x76661,f5(x76661)),x76663),x76662)) % 166.45/166.23 [7735]~P1(f329(f329(f240(a905),x77353),x77352))+~P1(f329(f329(f240(a905),x77353),x77351))+P1(f329(f329(f240(a905),f329(f329(f23(a905),x77351),x77352)),f329(f329(f23(a905),x77351),x77353))) % 166.45/166.23 [7736]~P1(f329(f329(f239(a905),x77362),x77361))+~P1(f329(f329(f240(a905),x77361),x77363))+P1(f329(f329(f240(a905),f329(f329(f23(a905),x77361),x77362)),f329(f329(f23(a905),x77363),x77362))) % 166.45/166.23 [7752]~P1(f329(f329(f240(a1),x77522),f2(a1)))+~P1(f329(f329(f239(a1),x77523),x77521))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x77521),x77522)),f329(f329(f38(a1),x77523),x77522))) % 166.45/166.23 [7769]~P1(f329(f329(f240(a905),f2(a905)),x77693))+~P1(f329(f329(f239(a905),x77693),x77692))+P1(f329(f329(f239(a905),f329(f329(f38(a905),x77691),x77692)),f329(f329(f38(a905),x77691),x77693))) % 166.45/166.23 [7770]~P1(f329(f329(f240(a1),f2(a1)),x77702))+~P1(f329(f329(f239(a1),x77701),x77703))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x77701),x77702)),f329(f329(f38(a1),x77703),x77702))) % 166.45/166.23 [7774]~P1(f329(f329(f240(a905),f2(a905)),x77742))+~P1(f329(f329(f240(a905),x77741),x77743))+P1(f329(f329(f240(a905),f329(f329(f83(a905),x77741),x77742)),f329(f329(f83(a905),x77743),x77742))) % 166.45/166.23 [7775]~P1(f329(f329(f240(a905),f2(a905)),x77751))+~P1(f329(f329(f240(a905),x77752),x77753))+P1(f329(f329(f240(a905),f329(f329(f83(a905),x77751),x77752)),f329(f329(f83(a905),x77751),x77753))) % 166.45/166.23 [7776]~P1(f329(f329(f240(a1),f2(a1)),x77761))+~P1(f329(f329(f240(a1),x77762),x77763))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x77761),x77762)),f329(f329(f83(a1),x77761),x77763))) % 166.45/166.23 [7824]E(x78241,f2(a905))+E(f329(f329(f82(a905),f329(f329(f83(a905),x78241),f476(x78241,x78242,x78243))),f478(x78241,x78242,x78243)),x78242)+P1(f329(x78243,f329(f329(f38(a905),x78242),x78241))) % 166.45/166.23 [7886]E(f329(f329(f82(a905),f329(f329(f83(a905),x78861),f476(x78861,x78862,x78863))),f478(x78861,x78862,x78863)),x78862)+~P1(f329(x78863,f2(a905)))+P1(f329(x78863,f329(f329(f38(a905),x78862),x78861))) % 166.45/166.23 [7903]~P1(f329(f63(x79031),x79033))+P1(f329(f329(f331(x79031),f467(x79032,x79033,x79031)),x79033))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f9(x79031,a905),x79032),x79033))) % 166.45/166.23 [7904]~P1(f329(f63(x79041),x79043))+P1(f329(f329(f331(x79041),f489(x79042,x79043,x79041)),x79043))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f9(x79041,a905),x79042),x79043))) % 166.45/166.23 [8210]E(x82101,f191(f913(x82102,a900)))+E(x82101,f329(f329(f311(x82102),x82103),f191(f913(x82102,a900))))+~P1(f329(f329(f239(f913(x82102,a900)),x82101),f329(f329(f311(x82102),x82103),f191(f913(x82102,a900))))) % 166.45/166.23 [8247]~P1(f329(f329(f240(a905),f2(a905)),x82473))+P1(f329(f329(f239(a905),x82471),x82472))+~P1(f329(f329(f239(a905),f329(f329(f83(a905),x82473),x82471)),f329(f329(f83(a905),x82473),x82472))) % 166.45/166.23 [8248]~P1(f329(f329(f240(a905),f2(a905)),x82483))+P1(f329(f329(f239(a905),x82481),x82482))+~P1(f329(f329(f239(a905),f329(f329(f83(a905),x82481),x82483)),f329(f329(f83(a905),x82482),x82483))) % 166.45/166.23 [8250]~P1(f329(f329(f240(a905),f2(a905)),x82503))+P1(f329(f329(f240(a905),x82501),x82502))+~P1(f329(f329(f240(a905),f329(f329(f249(a905),x82503),x82501)),f329(f329(f249(a905),x82503),x82502))) % 166.45/166.23 [8282]~P1(f329(x82821,x82823))+P1(f329(f329(f197(f31(x82821,x82822)),f570(x82823,x82822,x82821)),x82823))+~P1(f329(f329(f197(f31(x82821,x82822)),x82823),x82823)) % 166.45/166.23 [8290]~E(f329(f329(f106(f913(x82901,a900)),f647(x82903,x82902,x82901)),f646(x82903,x82902,x82901)),f191(f913(x82901,a900)))+E(f329(f329(f106(f913(x82901,a900)),x82902),f39(f913(x82901,a900),x82903)),f191(f913(x82901,a900)))+P1(f329(f329(f331(f913(x82901,a900)),x82902),x82903)) % 166.45/166.23 [8304]E(x83041,f118(x83042))+~E(f329(f145(f906(x83042),f906(x83042),f137(x83042),f118(x83042)),x83043),f118(x83042))+~P1(f329(f329(f331(f906(x83042)),x83041),f329(f175(f906(x83042)),x83043))) % 166.45/166.23 [8360]E(x83601,f191(f913(f913(x83602,a900),a900)))+P1(f329(f329(f331(f913(x83602,a900)),f651(x83603,x83601,x83602)),x83601))+P1(f329(f329(f239(f913(x83602,a900)),f40(f913(x83602,a900),x83601)),x83603)) % 166.45/166.23 [8366]~P74(x83661)+~P80(x83661)+E(f329(f329(f6(a1,x83661),f329(f329(f8(a905,x83661,a1),x83662),a109)),f329(f312(a905,a1,f105(a1)),x83663)),f329(f329(f6(a905,x83661),x83662),x83663)) % 166.45/166.23 [8367]~P74(x83671)+~P80(x83671)+E(f329(f329(f9(a1,x83671),f329(f329(f8(a905,x83671,a1),x83672),a109)),f329(f312(a905,a1,f105(a1)),x83673)),f329(f329(f9(a905,x83671),x83672),x83673)) % 166.45/166.23 [8410]~P1(f329(f63(x84101),x84103))+~P1(f329(f329(f240(a905),f2(a905)),f329(x84102,f467(x84102,x84103,x84101))))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f9(x84101,a905),x84102),x84103))) % 166.45/166.23 [8411]~P1(f329(f63(x84111),x84113))+~P1(f329(f329(f240(a905),f2(a905)),f329(x84112,f489(x84112,x84113,x84111))))+P1(f329(f329(f240(a905),f2(a905)),f329(f329(f9(x84111,a905),x84112),x84113))) % 166.45/166.23 [8448]~P71(x84482)+E(x84481,f80(x84482))+E(f329(f329(f292(x84482),f329(f329(f23(x84482),f329(f329(f249(x84482),x84481),x84483)),f80(x84482))),f329(f329(f23(x84482),x84481),f80(x84482))),f329(f329(f6(a905,x84482),f329(f249(x84482),x84481)),f329(f304(a905,f2(a905)),x84483))) % 166.45/166.23 [8505]E(x85051,f2(a905))+~P1(f329(x85053,f329(f329(f38(a905),x85052),x85051)))+P1(f329(f329(f240(a905),x85052),f329(f329(f83(a905),x85051),f329(a117,f475(x85051,x85052,x85053))))) % 166.45/166.23 [8523]P1(f329(x85231,f2(a905)))+~P1(f329(x85231,f329(f329(f38(a905),x85232),x85233)))+P1(f329(f329(f240(a905),x85232),f329(f329(f83(a905),x85233),f329(a117,f475(x85233,x85232,x85231))))) % 166.45/166.23 [8563]E(x85631,f2(a905))+~P1(f329(x85633,f329(f329(f38(a905),x85632),x85631)))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x85631),f475(x85631,x85632,x85633))),x85632)) % 166.45/166.23 [8602]P1(f329(x86021,f2(a905)))+~P1(f329(x86021,f329(f329(f38(a905),x86023),x86022)))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x86022),f475(x86022,x86023,x86021))),x86023)) % 166.45/166.23 [8610]~P105(x86101)+E(f329(f329(f151(x86101,x86101,f5(x86101)),x86102),x86103),f152(x86101,x86101,f5(x86101),x86102,x86103))+P1(f329(f329(f331(x86101),x86102),f329(f175(x86101),x86103))) % 166.45/166.23 [8649]~E(f329(x86493,f572(x86492,x86493,x86491)),f329(x86493,f575(x86492,x86493,x86491)))+~P62(x86491,f329(x86493,f573(x86492,x86493,x86491)))+P62(x86491,f329(f329(f41(x86492,f913(x86491,f913(x86491,a900))),f247(f913(x86492,a900))),x86493)) % 166.45/166.23 [8658]E(x86581,f191(f913(f913(x86582,a900),a900)))+~P1(f329(f329(f239(f913(x86582,a900)),f651(x86583,x86581,x86582)),x86583))+P1(f329(f329(f239(f913(x86582,a900)),f40(f913(x86582,a900),x86581)),x86583)) % 166.45/166.23 [8716]~P73(x87161)+~P1(f329(f329(f240(x87161),x87162),x87163))+P1(f329(f329(f240(x87161),x87162),f329(f329(f292(x87161),f329(f329(f82(x87161),x87162),x87163)),f329(f329(f82(x87161),f80(x87161)),f80(x87161))))) % 166.45/166.23 [8771]~P1(f329(f329(x87711,f503(x87711,x87713,x87712)),f505(x87711,x87713,x87712)))+P1(f329(f329(x87711,x87712),x87713))+~P1(f329(f317(f912(a1,a1),a54),f329(f329(f257(a1,a1),x87712),x87713))) % 166.45/166.23 [8772]~P1(f329(f329(x87721,f506(x87721,x87723,x87722)),f507(x87721,x87723,x87722)))+P1(f329(f329(x87721,x87722),x87723))+~P1(f329(f317(f912(a1,a1),a60),f329(f329(f257(a1,a1),x87722),x87723))) % 166.45/166.23 [8773]~P1(f329(f329(x87731,f511(x87731,x87733,x87732)),f512(x87731,x87733,x87732)))+P1(f329(f329(x87731,x87732),x87733))+~P1(f329(f317(f912(a1,a1),a225),f329(f329(f257(a1,a1),x87732),x87733))) % 166.45/166.23 [8774]~P1(f329(f329(x87741,f513(x87741,x87743,x87742)),f514(x87741,x87743,x87742)))+P1(f329(f329(x87741,x87742),x87743))+~P1(f329(f317(f912(a905,a905),a223),f329(f329(f257(a905,a905),x87742),x87743))) % 166.45/166.23 [8775]~P1(f329(f329(x87751,f700(x87751,x87753,x87752)),f701(x87751,x87753,x87752)))+P1(f329(f329(x87751,x87752),x87753))+~P1(f329(f317(f912(a1,a1),a185),f329(f329(f257(a1,a1),x87752),x87753))) % 166.45/166.23 [8776]~P1(f329(f329(x87761,f796(x87761,x87763,x87762)),f797(x87761,x87763,x87762)))+P1(f329(f329(x87761,x87762),x87763))+~P1(f329(f317(f912(a1,a1),a136),f329(f329(f257(a1,a1),x87762),x87763))) % 166.45/166.23 [9038]P1(f329(f329(x90381,x90382),x90383))+P1(f329(f317(f912(a905,a905),a223),f329(f329(f257(a905,a905),f513(x90381,x90383,x90382)),f514(x90381,x90383,x90382))))+~P1(f329(f317(f912(a905,a905),a223),f329(f329(f257(a905,a905),x90382),x90383))) % 166.45/166.23 [9039]P1(f329(f329(x90391,x90392),x90393))+P1(f329(f317(f912(a1,a1),a54),f329(f329(f257(a1,a1),f503(x90391,x90393,x90392)),f505(x90391,x90393,x90392))))+~P1(f329(f317(f912(a1,a1),a54),f329(f329(f257(a1,a1),x90392),x90393))) % 166.45/166.23 [9040]P1(f329(f329(x90401,x90402),x90403))+P1(f329(f317(f912(a1,a1),a60),f329(f329(f257(a1,a1),f506(x90401,x90403,x90402)),f507(x90401,x90403,x90402))))+~P1(f329(f317(f912(a1,a1),a60),f329(f329(f257(a1,a1),x90402),x90403))) % 166.45/166.23 [9041]P1(f329(f329(x90411,x90412),x90413))+P1(f329(f317(f912(a1,a1),a225),f329(f329(f257(a1,a1),f511(x90411,x90413,x90412)),f512(x90411,x90413,x90412))))+~P1(f329(f317(f912(a1,a1),a225),f329(f329(f257(a1,a1),x90412),x90413))) % 166.45/166.23 [9042]P1(f329(f329(x90421,x90422),x90423))+P1(f329(f317(f912(a1,a1),a185),f329(f329(f257(a1,a1),f700(x90421,x90423,x90422)),f701(x90421,x90423,x90422))))+~P1(f329(f317(f912(a1,a1),a185),f329(f329(f257(a1,a1),x90422),x90423))) % 166.45/166.23 [9043]P1(f329(f329(x90431,x90432),x90433))+P1(f329(f317(f912(a1,a1),a136),f329(f329(f257(a1,a1),f796(x90431,x90433,x90432)),f797(x90431,x90433,x90432))))+~P1(f329(f317(f912(a1,a1),a136),f329(f329(f257(a1,a1),x90432),x90433))) % 166.45/166.23 [9386]~P1(f329(f63(x93861),x93863))+P1(f329(f329(f331(f912(f913(x93861,a900),f913(x93861,a900))),f329(f329(f257(f913(x93861,a900),f913(x93861,a900)),x93862),x93863)),f316(x93861)))+~P1(f329(f329(f240(f913(x93861,a900)),x93862),x93863)) % 166.45/166.23 [9460]~P62(x94601,f329(x94603,f573(x94602,x94603,x94601)))+P62(x94601,f329(f329(f41(x94602,f913(x94601,f913(x94601,a900))),f247(f913(x94602,a900))),x94603))+~E(f329(f329(f106(f913(x94601,a900)),f254(x94601,x94601,f329(x94603,f572(x94602,x94603,x94601)))),f255(x94601,x94601,f329(x94603,f575(x94602,x94603,x94601)))),f191(f913(x94601,a900))) % 166.45/166.23 [9660]P55(x96601,x96602,x96603)+P1(f329(f329(f331(f912(x96601,x96601)),f563(x96603,x96602,x96601)),x96603))+~P1(f329(f329(f331(f912(x96601,x96601)),f329(f329(f257(x96601,x96601),f562(x96603,x96602,x96601)),f562(x96603,x96602,x96601))),x96603)) % 166.45/166.23 [10241]P55(x102411,x102412,x102413)+~P1(f329(f329(f262(x102411,x102411,a900),f329(f329(f7(x102411,f913(x102411,a900),f913(x102411,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x102411,a900),f913(x102411,a900)),x102411),f8(a900,a900,x102411)),f329(f329(f8(a900,f913(a900,a900),x102411),a327),f329(f329(f7(x102411,f913(x102411,a900),a900),f331(x102411)),x102412)))),f329(f329(f7(x102411,f913(x102411,a900),a900),f331(x102411)),x102412))),f563(x102413,x102412,x102411)))+~P1(f329(f329(f331(f912(x102411,x102411)),f329(f329(f257(x102411,x102411),f562(x102413,x102412,x102411)),f562(x102413,x102412,x102411))),x102413)) % 166.45/166.23 [5754]~P63(x57542)+E(x57541,f2(x57542))+E(f329(f329(f38(x57542),f329(f329(f83(x57542),x57543),x57541)),x57541),x57543) % 166.45/166.23 [5755]~P63(x57552)+E(x57551,f2(x57552))+E(f329(f329(f38(x57552),f329(f329(f83(x57552),x57551),x57553)),x57551),x57553) % 166.45/166.23 [6560]~P74(x65601)+~E(f329(x65602,f2(a905)),f2(x65601))+E(f329(f329(f6(a905,x65601),x65602),f329(f304(a905,f329(a117,f2(a905))),x65603)),f329(f329(f6(a905,x65601),x65602),f329(f304(a905,f2(a905)),x65603))) % 166.45/166.23 [6694]~P63(x66942)+E(x66941,f2(x66942))+E(f329(f329(f38(x66942),f329(f329(f82(x66942),x66943),x66941)),x66941),f329(f329(f82(x66942),f329(f329(f38(x66942),x66943),x66941)),f80(x66942))) % 166.45/166.23 [6695]~P63(x66952)+E(x66951,f2(x66952))+E(f329(f329(f38(x66952),f329(f329(f82(x66952),x66951),x66953)),x66951),f329(f329(f82(x66952),f329(f329(f38(x66952),x66953),x66951)),f80(x66952))) % 166.45/166.23 [6911]~P1(f329(x69113,f2(a1)))+P1(f329(f329(f239(a905),x69111),x69112))+P1(f329(x69113,f329(f105(a1),f329(f329(f23(a905),x69112),x69111)))) % 166.45/166.23 [7012]P1(f329(f329(f240(a905),x70122),x70121))+P1(f329(f329(f239(a905),x70121),x70122))+P1(f329(x70123,f329(f105(a1),f329(f329(f23(a905),x70122),x70121)))) % 166.45/166.23 [7085]E(f329(f329(f82(a905),f329(f108(a905),x70851)),f329(f329(f82(a905),f329(f108(a905),x70852)),x70853)),f329(f329(f82(a905),f329(f108(a905),x70851)),x70853))+P1(f329(a196,f329(f108(a1),x70851)))+~P1(f329(a196,f329(f108(a1),x70852))) % 166.45/166.23 [7162]~E(x71622,f329(f329(f38(a905),x71623),x71621))+~P1(f329(f329(f240(a905),f2(a905)),x71621))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x71621),x71622)),x71623)) % 166.45/166.23 [7275]~P1(f329(f63(x72751),x72753))+~P1(f329(f63(x72751),x72752))+P1(f329(f63(x72751),f329(f329(f115(f913(x72751,a900)),x72752),x72753))) % 166.45/166.23 [7324]~P38(x73241,x73243)+~P38(x73241,x73242)+P38(x73241,f329(f329(f106(f913(f912(x73241,x73241),a900)),x73242),x73243)) % 166.45/166.23 [7325]~P54(x73251,x73253)+~P54(x73251,x73252)+P54(x73251,f329(f329(f115(f913(f912(x73251,x73251),a900)),x73252),x73253)) % 166.45/166.23 [7326]~P54(x73261,x73263)+~P54(x73261,x73262)+P54(x73261,f329(f329(f106(f913(f912(x73261,x73261),a900)),x73262),x73263)) % 166.45/166.23 [7581]~P105(x75811)+~P1(f329(f63(x75811),x75812))+E(f142(x75811,f329(f329(f23(f913(x75811,a900)),x75812),f329(f329(f311(x75811),x75813),f191(f913(x75811,a900))))),f173(x75811,x75813,f142(x75811,x75812))) % 166.45/166.23 [7642]P1(f329(x76421,f2(a1)))+~P1(f329(f329(f240(a905),x76422),x76423))+~P1(f329(x76421,f329(f105(a1),f329(f329(f23(a905),x76422),x76423)))) % 166.45/166.23 [7660]~P1(f329(f63(x76601),x76602))+E(f329(f37(x76601),f329(f329(f23(f913(x76601,a900)),x76602),f329(f329(f311(x76601),x76603),f191(f913(x76601,a900))))),f329(f37(x76601),x76602))+P1(f329(f329(f331(x76601),x76603),x76602)) % 166.45/166.23 [7792]~P127(x77921)+~P1(f329(f329(f240(x77921),f80(x77921)),x77922))+P1(f329(f329(f240(x77921),f80(x77921)),f329(f329(f83(x77921),x77922),f329(f329(f249(x77921),x77922),x77923)))) % 166.45/166.23 [7835]~P1(f329(f63(x78351),x78353))+E(f329(f329(f23(a905),f329(f37(x78351),x78352)),f329(f37(x78351),x78353)),f329(f37(x78351),f329(f329(f23(f913(x78351,a900)),x78352),x78353)))+~P1(f329(f329(f239(f913(x78351,a900)),x78353),x78352)) % 166.45/166.23 [7894]~P1(f329(f329(f239(a905),x78942),x78943))+~P1(f329(f329(f239(a905),x78941),f329(f329(f23(a905),x78943),x78942)))+P1(f329(f329(f239(a905),f329(f329(f82(a905),x78941),x78942)),x78943)) % 166.45/166.23 [7952]P1(f329(f63(x79521),x79522))+~P1(f329(f63(x79521),x79523))+~P1(f329(f63(x79521),f329(f329(f23(f913(x79521,a900)),x79522),x79523))) % 166.45/166.23 [7958]~P1(f329(f63(x79581),x79582))+E(f329(f37(x79581),f329(f329(f23(f913(x79581,a900)),x79582),f329(f329(f311(x79581),x79583),f191(f913(x79581,a900))))),f329(f329(f23(a905),f329(f37(x79581),x79582)),f80(a905)))+~P1(f329(f329(f331(x79581),x79583),x79582)) % 166.45/166.23 [8034]P62(x80341,x80342)+~P62(x80341,x80343)+~P1(f329(f329(f239(f913(x80341,f913(x80341,a900))),x80342),x80343)) % 166.45/166.23 [8075]~P1(f329(f329(f239(a905),x80753),x80752))+P1(f329(f329(f239(a905),x80751),f329(f329(f23(a905),x80752),x80753)))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),x80751),x80753)),x80752)) % 166.45/166.23 [8095]P37(x80951,x80952)+~P37(x80951,x80953)+~P1(f329(f329(f239(f913(f912(x80951,x80951),a900)),x80952),x80953)) % 166.45/166.23 [8096]P60(x80961,x80962)+~P60(x80961,x80963)+~P1(f329(f329(f239(f913(f912(x80961,x80961),a900)),x80962),x80963)) % 166.45/166.23 [8097]P39(x80971,x80972)+~P39(x80971,x80973)+~P1(f329(f329(f239(f913(f912(x80971,x80971),a900)),x80972),x80973)) % 166.45/166.23 [8338]~P127(x83381)+~P1(f329(f329(f240(x83381),f80(x83381)),x83382))+P1(f329(f329(f240(x83381),f329(f329(f249(x83381),x83382),x83383)),f329(f329(f83(x83381),x83382),f329(f329(f249(x83381),x83382),x83383)))) % 166.45/166.23 [8431]~P1(f329(x84311,f2(a1)))+~P1(f329(x84311,f329(f329(f23(a1),f329(f105(a1),x84312)),f329(f105(a1),x84313))))+P1(f329(x84311,f329(f105(a1),f329(f329(f23(a905),x84312),x84313)))) % 166.45/166.23 [8444]~P1(f329(f329(f239(a905),x84443),x84442))+P1(f329(x84441,f329(f329(f23(a1),f329(f105(a1),x84442)),f329(f105(a1),x84443))))+~P1(f329(x84441,f329(f105(a1),f329(f329(f23(a905),x84442),x84443)))) % 166.45/166.23 [8463]P1(f329(f329(f240(a905),x84631),x84632))+~P1(f329(x84633,f329(f329(f23(a1),f329(f105(a1),x84631)),f329(f105(a1),x84632))))+P1(f329(x84633,f329(f105(a1),f329(f329(f23(a905),x84631),x84632)))) % 166.45/166.23 [8516]~P129(x85162)+E(x85161,f2(x85162))+P1(f329(f329(f240(x85162),f2(x85162)),f329(f329(f82(x85162),f329(f329(f83(x85162),x85163),x85163)),f329(f329(f83(x85162),x85161),x85161)))) % 166.45/166.23 [8517]~P129(x85172)+E(x85171,f2(x85172))+P1(f329(f329(f240(x85172),f2(x85172)),f329(f329(f82(x85172),f329(f329(f83(x85172),x85171),x85171)),f329(f329(f83(x85172),x85173),x85173)))) % 166.45/166.23 [8629]~P1(f329(f329(f240(a905),f2(a905)),x86291))+~P1(f329(f329(f240(a1),x86292),x86293))+P1(f329(f329(f240(a1),f329(f329(f83(a1),f329(f105(a1),x86291)),x86292)),f329(f329(f83(a1),f329(f105(a1),x86291)),x86293))) % 166.45/166.23 [8686]E(f329(f329(f106(f913(x86861,a900)),x86862),f39(f913(x86861,a900),x86863)),f191(f913(x86861,a900)))+P1(f329(f329(f331(f913(x86861,a900)),x86862),x86863))+P1(f329(f329(f331(f913(x86861,a900)),f647(x86863,x86862,x86861)),f329(f329(f311(f913(x86861,a900)),x86862),x86863))) % 166.45/166.23 [8687]E(f329(f329(f106(f913(x86871,a900)),x86872),f39(f913(x86871,a900),x86873)),f191(f913(x86871,a900)))+P1(f329(f329(f331(f913(x86871,a900)),x86872),x86873))+P1(f329(f329(f331(f913(x86871,a900)),f646(x86873,x86872,x86871)),f329(f329(f311(f913(x86871,a900)),x86872),x86873))) % 166.45/166.23 [8715]E(x87151,x87152)+~E(f329(f192(f906(x87153)),x87151),f329(f192(f906(x87153)),x87152))+P1(f329(f329(f331(f912(x87153,x87153)),f689(x87153,x87151,x87152)),f329(f175(f912(x87153,x87153)),f329(f329(f184(x87153,x87153),x87152),x87151)))) % 166.45/166.23 [8948]E(f309(x89481,x89482),f309(x89481,x89483))+~P1(f329(f329(f239(f913(f912(x89481,x89481),a900)),x89483),f309(x89481,x89482)))+~P1(f329(f329(f239(f913(f912(x89481,x89481),a900)),x89482),x89483)) % 166.45/166.23 [9015]~P55(x90151,f247(f913(x90151,a900)),x90153)+P1(f329(f329(f239(f913(f912(f906(x90151),f906(x90151)),a900)),f160(x90151,x90152)),f161(x90151,x90153)))+~P1(f329(f329(f239(f913(f912(x90151,x90151),a900)),x90152),x90153)) % 166.45/166.23 [9219]P37(x92191,x92192)+~P1(f329(f329(f331(x92191),x92193),f611(x92192,x92191)))+P1(f329(f329(f331(f912(x92191,x92191)),f329(f329(f257(x92191,x92191),f661(x92192,x92191,x92193)),x92193)),x92192)) % 166.45/166.23 [9259]~P1(f329(f63(x92591),x92592))+P1(f329(f63(f913(x92591,a900)),f329(f329(f62(x92591),x92592),x92593)))+~P1(f329(f329(f239(f913(f912(x92591,x92591),a900)),x92593),f329(f329(f259(x92591,x92591),x92592),f329(f16(f913(x92591,a900),x92591),x92592)))) % 166.45/166.23 [9298]P55(x92981,x92982,x92983)+P1(f329(f329(f331(x92981),f556(x92983,x92982,x92981)),x92982))+~P1(f329(f329(f239(f913(f912(x92981,x92981),a900)),x92983),f329(f329(f259(x92981,x92981),x92982),f329(f16(f913(x92981,a900),x92981),x92982)))) % 166.45/166.23 [9299]P55(x92991,x92992,x92993)+P1(f329(f329(f331(x92991),f561(x92992,x92993,x92991)),x92992))+~P1(f329(f329(f239(f913(f912(x92991,x92991),a900)),x92993),f329(f329(f259(x92991,x92991),x92992),f329(f16(f913(x92991,a900),x92991),x92992)))) % 166.45/166.23 [9332]~P73(x93321)+~P1(f329(f329(f240(x93321),x93322),x93323))+P1(f329(f329(f240(x93321),f329(f329(f292(x93321),f329(f329(f82(x93321),x93322),x93323)),f329(f329(f82(x93321),f80(x93321)),f80(x93321)))),x93323)) % 166.45/166.23 [9359]~P72(x93591)+P1(f329(f329(f239(x93591),x93592),x93593))+~P1(f329(f329(f239(x93591),f329(f329(f83(x93591),f474(x93593,x93592,x93591)),x93592)),x93593)) % 166.45/166.23 [9494]E(f329(f192(f906(f906(x94941))),f329(f139(f906(x94941),f329(f329(f8(a905,a900,f906(x94941)),f329(f240(a905),x94942)),f192(f906(x94941)))),f182(x94941,x94943))),f329(f192(f906(x94941)),f329(f329(f167(f906(x94941)),x94943),x94942)))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x94941),a905),f192(f906(x94941))),x94943)))+~P1(f329(f329(f240(a905),x94942),f329(f192(f906(f906(x94941))),x94943))) % 166.45/166.23 [9608]~P37(x96081,x96082)+P26(x96081,f329(f329(f257(f913(f912(x96081,x96081),a900),f913(f912(x96081,x96081),a900)),x96082),x96083))+~P1(f329(f329(f239(f913(f912(x96081,x96081),a900)),f329(f329(f291(x96081,x96081,x96081),x96082),x96083)),x96082)) % 166.45/166.23 [9614]E(f329(f329(f157(f906(x96141),x96141),f329(f329(f7(f906(x96141),a905,x96141),f167(x96141)),x96142)),f329(f139(f906(x96141),f329(f329(f8(a905,a900,f906(x96141)),f329(f240(a905),x96142)),f192(f906(x96141)))),f182(x96141,x96143))),f329(f329(f167(f906(x96141)),x96143),x96142))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x96141),a905),f192(f906(x96141))),x96143)))+~P1(f329(f329(f240(a905),x96142),f329(f192(f906(f906(x96141))),x96143))) % 166.45/166.23 [9750]P55(x97501,x97502,x97503)+~P1(f329(f329(f331(f912(x97501,x97501)),f329(f329(f257(x97501,x97501),f556(x97503,x97502,x97501)),f556(x97503,x97502,x97501))),x97503))+~P1(f329(f329(f239(f913(f912(x97501,x97501),a900)),x97503),f329(f329(f259(x97501,x97501),x97502),f329(f16(f913(x97501,a900),x97501),x97502)))) % 166.45/166.23 [9751]P55(x97511,x97512,x97513)+~P1(f329(f329(f331(f912(x97511,x97511)),f329(f329(f257(x97511,x97511),f561(x97512,x97513,x97511)),f561(x97512,x97513,x97511))),x97513))+~P1(f329(f329(f239(f913(f912(x97511,x97511),a900)),x97513),f329(f329(f259(x97511,x97511),x97512),f329(f16(f913(x97511,a900),x97511),x97512)))) % 166.45/166.23 [9922]~P142(x99221)+~P126(x99221)+E(f329(f329(f292(x99221),f329(f107(x99221),f329(f329(f74(f912(a1,a1),a1,x99222,f256(a1,a1)),f216(x99222)),x99223))),f329(f107(x99221),f329(f329(f74(f912(a1,a1),a1,x99222,f261(a1,a1)),f216(x99222)),x99223))),f226(x99222,x99221,x99223)) % 166.45/166.23 [10112]~E(x101123,f2(a905))+~E(f329(f192(f906(x101121)),f329(f329(f167(f906(x101121)),x101122),f737(x101123,x101121,x101122))),x101123)+E(f329(f329(f157(a905,f906(x101121)),f329(f329(f7(a905,f906(a905),f906(x101121)),f329(f329(f8(f913(a905,x101121),f913(f906(a905),f906(x101121)),a905),f157(a905,x101121)),f329(f7(a905,a905,x101121),f329(f329(f8(f906(x101121),f913(a905,x101121),a905),f167(x101121)),f329(f167(f906(x101121)),x101122))))),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(f906(x101121))),x101122))))),f142(a905,f329(f304(a905,f2(a905)),x101123))),f182(x101121,x101122)) % 166.45/166.23 [10113]E(x101131,f118(f906(x101132)))+~E(f329(f192(f906(x101132)),f329(f329(f167(f906(x101132)),x101131),f737(x101133,x101132,x101131))),x101133)+E(f329(f329(f157(a905,f906(x101132)),f329(f329(f7(a905,f906(a905),f906(x101132)),f329(f329(f8(f913(a905,x101132),f913(f906(a905),f906(x101132)),a905),f157(a905,x101132)),f329(f7(a905,a905,x101132),f329(f329(f8(f906(x101132),f913(a905,x101132),a905),f167(x101132)),f329(f167(f906(x101132)),x101131))))),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(f906(x101132))),x101131))))),f142(a905,f329(f304(a905,f2(a905)),x101133))),f182(x101132,x101131)) % 166.45/166.23 [10114]~E(x101143,f2(a905))+E(f329(f329(f157(a905,f906(x101141)),f329(f329(f7(a905,f906(a905),f906(x101141)),f329(f329(f8(f913(a905,x101141),f913(f906(a905),f906(x101141)),a905),f157(a905,x101141)),f329(f7(a905,a905,x101141),f329(f329(f8(f906(x101141),f913(a905,x101141),a905),f167(x101141)),f329(f167(f906(x101141)),x101142))))),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(f906(x101141))),x101142))))),f142(a905,f329(f304(a905,f2(a905)),x101143))),f182(x101141,x101142))+P1(f329(f329(f240(a905),f737(x101143,x101141,x101142)),f329(f192(f906(f906(x101141))),x101142))) % 166.45/166.23 [10115]E(x101151,f118(f906(x101152)))+E(f329(f329(f157(a905,f906(x101152)),f329(f329(f7(a905,f906(a905),f906(x101152)),f329(f329(f8(f913(a905,x101152),f913(f906(a905),f906(x101152)),a905),f157(a905,x101152)),f329(f7(a905,a905,x101152),f329(f329(f8(f906(x101152),f913(a905,x101152),a905),f167(x101152)),f329(f167(f906(x101152)),x101151))))),f142(a905,f329(f304(a905,f2(a905)),f329(f192(f906(f906(x101152))),x101151))))),f142(a905,f329(f304(a905,f2(a905)),x101153))),f182(x101152,x101151))+P1(f329(f329(f240(a905),f737(x101153,x101152,x101151)),f329(f192(f906(f906(x101152))),x101151))) % 166.45/166.23 [7832]E(f329(f329(f82(a905),f329(f108(a905),x78321)),f329(f329(f82(a905),f329(f108(a905),x78322)),x78323)),f329(f329(f82(a905),f329(f108(a905),f329(f329(f82(a1),x78321),x78322))),x78323))+P1(f329(a196,f329(f108(a1),x78321)))+P1(f329(a196,f329(f108(a1),x78322))) % 166.45/166.23 [8621]~P1(f329(f63(x86211),x86212))+~P1(f329(f329(f331(x86211),x86213),x86212))+E(f329(a117,f329(f37(x86211),f329(f329(f23(f913(x86211,a900)),x86212),f329(f329(f311(x86211),x86213),f191(f913(x86211,a900)))))),f329(f37(x86211),x86212)) % 166.45/166.23 [8639]~P1(f329(f63(x86391),x86392))+~P1(f329(f329(f331(x86391),x86393),x86392))+E(f329(f329(f82(a905),f80(a905)),f329(f37(x86391),f329(f329(f23(f913(x86391,a900)),x86392),f329(f329(f311(x86391),x86393),f191(f913(x86391,a900)))))),f329(f37(x86391),x86392)) % 166.45/166.23 [8724]~P105(x87241)+~P1(f329(f63(x87241),x87243))+E(f329(f329(f151(x87241,x87241,f5(x87241)),x87242),f142(x87241,f329(f329(f23(f913(x87241,a900)),x87243),f329(f329(f311(x87241),x87242),f191(f913(x87241,a900)))))),f142(x87241,f329(f329(f311(x87241),x87242),x87243))) % 166.45/166.23 [8875]~P1(f329(f63(x88751),x88753))+~P1(f329(f63(x88751),x88752))+E(f329(f329(f82(a905),f329(f37(x88751),f329(f329(f115(f913(x88751,a900)),x88752),x88753))),f329(f37(x88751),f329(f329(f106(f913(x88751,a900)),x88752),x88753))),f329(f329(f82(a905),f329(f37(x88751),x88752)),f329(f37(x88751),x88753))) % 166.45/166.23 [10061]~P24(x100611,f913(f913(x100611,a900),a900),f329(f329(f7(x100611,f913(f912(x100611,x100611),a900),f913(f913(x100611,a900),a900)),f329(f329(f8(f913(x100611,a900),f913(f913(f912(x100611,x100611),a900),f913(f913(x100611,a900),a900)),x100611),f62(x100611)),f329(f329(f7(x100611,f913(x100611,a900),f913(x100611,a900)),f311(x100611)),f191(f913(x100611,a900))))),x100613),x100612)+~P1(f329(f63(x100611),x100612))+E(f329(f37(f913(x100611,a900)),f329(f329(f62(x100611),x100612),x100613)),f329(f37(x100611),x100612)) % 166.45/166.23 [10347]~P40(f913(x103471,a900),f913(x103471,a900),x103472)+~P1(f329(f329(f239(f913(x103471,a900)),x103473),f329(x103472,f100(f913(x103471,a900),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),x103472)),x103473))),f101(f913(x103471,a900),x103472))))))+P1(f329(f329(f239(f913(x103471,a900)),f100(f913(x103471,a900),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),x103472)),x103473))),f101(f913(x103471,a900),x103472)))),f329(x103472,f100(f913(x103471,a900),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),f329(f329(f7(f913(x103471,a900),f913(x103471,a900),f913(x103471,a900)),f329(f329(f8(f913(x103471,a900),f913(f913(x103471,a900),f913(x103471,a900)),f913(x103471,a900)),f115(f913(x103471,a900))),x103472)),x103473))),f101(f913(x103471,a900),x103472)))))) % 166.45/166.23 [8112]~P97(x81121)+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x81123)))+E(f329(f329(f249(x81121),x81122),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x81123),x81123)),a102))),f80(x81121)) % 166.45/166.23 [9593]~P97(x95931)+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x95933)))+E(f329(f329(f249(x95931),x95932),f329(f108(a905),f329(f329(f23(a1),f329(f329(f82(a1),x95933),x95933)),a102))),f329(f329(f88(x95931,x95931),f329(f329(f249(x95931),x95932),f329(f108(a905),x95933))),f329(f329(f18(x95931,x95931,x95931),f329(f329(f8(x95931,f913(x95931,x95931),x95931),f83(x95931)),f329(f83(x95931),x95932))),f5(x95931)))) % 166.45/166.23 [9981]~P1(f329(f140(x99811),x99813))+~P1(f329(f329(f331(x99811),x99812),f329(f175(x99811),x99813)))+E(f329(f329(f141(x99811),f329(f192(f906(x99811)),f180(x99811,f329(f329(f8(a900,a900,x99811),a324),f329(f329(f7(x99811,x99811,a900),a326),x99812)),f329(f171(x99811),x99813)))),f329(f171(x99811),x99813)),f329(f329(f154(x99811),x99812),f329(f171(x99811),f180(x99811,f329(f329(f8(a900,a900,x99811),a324),f329(f329(f7(x99811,x99811,a900),a326),x99812)),x99813)))) % 166.45/166.23 [10042]P1(f329(f329(f239(f913(f912(x100421,x100421),a900)),f309(x100421,x100422)),x100423))+~P1(f329(f329(f239(f913(f912(x100421,x100421),a900)),f309(x100421,f191(f913(f912(x100421,x100421),a900)))),x100423))+~P1(f329(f329(f239(f913(f912(x100421,x100421),a900)),f329(f329(f291(x100421,x100421,x100421),f329(f329(f106(f913(f912(x100421,x100421),a900)),f309(x100421,x100422)),x100423)),x100422)),x100423)) % 166.45/166.23 [9901]~P1(f329(f63(x99011),f329(f267(x99011),x99013)))+~P1(f329(f63(x99011),f329(f267(x99011),x99012)))+P1(f329(f63(x99011),f329(f267(x99011),f329(f329(f18(x99011,a900,a900),f329(f329(f8(a900,f913(a900,a900),x99011),a328),x99012)),x99013)))) % 166.45/166.23 [10175]P1(f329(f329(f239(f913(f912(x101751,x101751),a900)),f329(f329(f291(x101751,x101751,x101751),x101752),f309(x101751,x101752))),x101753))+~P1(f329(f329(f239(f913(f912(x101751,x101751),a900)),x101752),x101753))+~P1(f329(f329(f239(f913(f912(x101751,x101751),a900)),f329(f329(f291(x101751,x101751,x101751),f329(f329(f106(f913(f912(x101751,x101751),a900)),f329(f329(f291(x101751,x101751,x101751),x101752),f309(x101751,x101752))),x101753)),x101752)),x101753)) % 166.45/166.23 [10129]~P117(x101292)+E(x101291,f2(x101292))+~E(f329(f329(f82(x101292),f329(f329(f249(x101292),x101293),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101292),x101291),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101292)) % 166.45/166.23 [10130]~P117(x101302)+E(x101301,f2(x101302))+~E(f329(f329(f82(x101302),f329(f329(f249(x101302),x101301),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101302),x101303),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101302)) % 166.45/166.23 [10135]~P1(f329(f140(x101351),x101353))+~P1(f329(f329(f331(x101351),x101352),f329(f175(x101351),x101353)))+E(f329(f171(x101351),f329(f174(x101351),f329(f329(f141(x101351),f329(f192(f906(x101351)),f180(x101351,f329(f329(f8(a900,a900,x101351),a324),f329(f329(f7(x101351,x101351,a900),a326),x101352)),x101353))),x101353))),f180(x101351,f329(f329(f8(a900,a900,x101351),a324),f329(f329(f7(x101351,x101351,a900),a326),x101352)),f329(f171(x101351),x101353))) % 166.45/166.23 [10223]~P117(x102232)+E(x102231,f2(x102232))+P1(f329(f329(f240(x102232),f2(x102232)),f329(f329(f82(x102232),f329(f329(f249(x102232),x102233),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102232),x102231),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))) % 166.45/166.23 [10224]~P117(x102242)+E(x102241,f2(x102242))+P1(f329(f329(f240(x102242),f2(x102242)),f329(f329(f82(x102242),f329(f329(f249(x102242),x102241),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102242),x102243),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))) % 166.45/166.23 [10276]~P117(x102761)+P1(f329(f329(f239(x102761),f2(x102761)),x102762))+~P1(f329(f329(f239(x102761),f2(x102761)),f329(f329(f249(x102761),x102762),f329(a117,f329(f329(f83(a905),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102763))))) % 166.45/166.23 [5588]~P23(x55881,x55884,x55883)+P23(x55881,x55882,x55883)+~P23(x55881,x55882,x55884) % 166.45/166.23 [5053]~E(x50532,f92(x50533,x50531))+P1(f329(x50531,x50532))+~P1(f329(x50531,x50534)) % 166.45/166.23 [5302]E(f70(x53023,x53022,x53024),x53022)+E(x53021,f761(x53022,x53023,x53024))+~P1(f329(x53024,x53021)) % 166.45/166.23 [6616]E(f70(x66161,x66162,x66163),f87(x66161,x66163))+~E(f799(x66162,x66161,x66163,x66164),x66164)+~P1(f329(x66163,x66164)) % 166.45/166.23 [6824]~P37(x68242,x68244)+~P37(x68241,x68243)+P37(f912(x68241,x68242),f322(x68241,x68242,x68243,x68244)) % 166.45/166.23 [6825]~P38(x68252,x68254)+~P38(x68251,x68253)+P38(f912(x68251,x68252),f322(x68251,x68252,x68253,x68254)) % 166.45/166.23 [8191]~P42(f31(x81914,x81911),x81912,x81913,x81912)+P42(x81911,x81912,x81913,f509(x81913,x81912,x81911,x81914))+~P1(f329(x81914,x81912)) % 166.45/166.23 [8220]~P42(f31(x82201,x82202),x82204,x82203,x82204)+P42(f31(x82201,x82202),f509(x82203,x82204,x82202,x82201),x82203,x82204)+~P1(f329(x82201,x82204)) % 166.45/166.23 [5241]~P6(x52414,x52411)+~E(f329(x52411,x52412),f329(x52411,x52413))+P1(f329(f329(x52411,x52412),x52413)) % 166.45/166.23 [5405]~P6(x54054,x54051)+E(f329(x54051,x54052),f329(x54051,x54053))+~P1(f329(f329(x54051,x54052),x54053)) % 166.45/166.23 [5406]~P14(x54064,x54061)+E(f329(x54061,x54062),f329(x54061,x54063))+~P1(f329(f329(x54061,x54062),x54063)) % 166.45/166.23 [5497]~P17(x54973,x54974,x54971)+E(f329(x54971,x54972),f329(f65(x54973,x54974),x54972))+~P1(f329(f63(x54973),x54972)) % 166.45/166.23 [5498]~P8(x54983,x54984,x54981)+E(f329(x54981,x54982),f329(f65(x54983,x54984),x54982))+~P1(f329(f63(x54983),x54982)) % 166.45/166.23 [5621]~P6(x56214,x56211)+~P1(f329(f329(x56211,x56213),x56212))+P1(f329(f329(x56211,x56212),x56213)) % 166.45/166.23 [5622]~P53(x56224,x56221)+~P1(f329(f329(x56221,x56223),x56222))+P1(f329(f329(x56221,x56222),x56223)) % 166.45/166.23 [5623]~P14(x56234,x56231)+~P1(f329(f329(x56231,x56233),x56232))+P1(f329(f329(x56231,x56232),x56233)) % 166.45/166.23 [5624]~P14(x56243,x56241)+P1(f329(f329(x56241,x56242),x56242))+~P1(f329(f329(x56241,x56244),x56242)) % 166.45/166.23 [5625]~P14(x56253,x56251)+P1(f329(f329(x56251,x56252),x56252))+~P1(f329(f329(x56251,x56252),x56254)) % 166.45/166.23 [5695]E(x56951,x56952)+~E(f329(f256(x56953,x56954),x56951),f329(f256(x56953,x56954),x56952))+~E(f329(f261(x56953,x56954),x56951),f329(f261(x56953,x56954),x56952)) % 166.45/166.23 [5722]E(x57221,x57222)+~P1(f329(f50(x57223,x57224),x57222))+~P1(f329(f50(x57223,x57224),x57221)) % 166.45/166.23 [5912]~P74(x59122)+E(f235(x59121,x59122,x59123,x59124),f2(x59122))+P1(f329(f63(x59121),x59124)) % 166.45/166.23 [6054]~P1(f329(f317(x60541,x60542),x60544))+P1(f329(f317(x60541,x60542),x60543))+~P1(f329(f329(x60542,x60543),x60544)) % 166.45/166.23 [6488]P51(x64881,x64882,x64883,x64884)+P1(f329(f329(x64882,x64884),x64883))+~P1(f329(f329(x64882,x64883),x64884)) % 166.45/166.23 [6858]~P30(x68581,x68583,x68584)+P1(f329(x68581,x68582))+~P1(f329(f329(f331(a1),x68582),f305(a1,x68583,x68584))) % 166.45/166.23 [7947]E(x79471,f2(a905))+~P1(f329(x79472,x79473))+P1(f329(x79472,f794(x79472,x79473,x79471,x79474))) % 166.45/166.23 [8029]~P105(x80292)+~P1(f329(f140(x80291),x80294))+P1(f329(f140(x80291),f153(x80291,x80292,x80293,x80294))) % 166.45/166.23 [8074]E(f70(x80741,x80742,x80743),f87(x80741,x80743))+~P1(f329(x80743,x80744))+P1(f329(x80743,f799(x80742,x80741,x80743,x80744))) % 166.45/166.23 [8262]~P1(f329(f63(x82622),x82624))+~P1(f329(f63(x82621),x82623))+P1(f329(f63(f911(x82621,x82622)),f315(x82621,x82622,x82623,x82624))) % 166.45/166.23 [8263]~P1(f329(f140(x82632),x82634))+~P1(f329(f140(x82631),x82633))+P1(f329(f140(f912(x82631,x82632)),f61(x82631,x82632,x82633,x82634))) % 166.45/166.23 [8266]P1(f329(f329(f331(f906(x82661)),f329(f329(f137(x82661),x82662),x82663)),f164(x82661,x82664)))+~P1(f329(f329(f331(f906(x82661)),x82663),f164(x82661,x82664)))+~P1(f329(f329(f331(f906(x82661)),x82662),f164(x82661,x82664))) % 166.45/166.23 [8548]E(x85481,f2(a905))+P1(f329(x85482,x85483))+~P1(f329(x85482,f795(x85482,x85483,x85481,x85484))) % 166.45/166.23 [8594]~P105(x85943)+~P1(f329(f140(x85941),f153(x85941,x85943,x85944,x85942)))+P1(f329(f140(x85941),x85942)) % 166.45/166.23 [8866]~P1(f329(f329(f331(f912(x88661,x88661)),f329(f329(f257(x88661,x88661),x88662),x88664)),f309(x88661,x88663)))+P1(f329(f329(f331(x88661),x88662),f318(x88661,x88663)))+~P1(f329(f329(f331(x88661),x88664),f318(x88661,x88663))) % 166.45/166.23 [5223]~P74(x52232)+E(f329(f329(f6(x52231,x52232),x52233),x52234),f2(x52232))+P1(f329(f63(x52231),x52234)) % 166.45/166.23 [5226]~P80(x52262)+E(f329(f329(f9(x52261,x52262),x52263),x52264),f80(x52262))+P1(f329(f63(x52261),x52264)) % 166.45/166.23 [5369]~P75(x53693)+E(x53691,x53692)+~E(f329(f329(f82(x53693),x53694),x53691),f329(f329(f82(x53693),x53694),x53692)) % 166.45/166.23 [5370]~P76(x53703)+E(x53701,x53702)+~E(f329(f329(f82(x53703),x53704),x53701),f329(f329(f82(x53703),x53704),x53702)) % 166.45/166.23 [5372]~P75(x53723)+E(x53721,x53722)+~E(f329(f329(f82(x53723),x53721),x53724),f329(f329(f82(x53723),x53722),x53724)) % 166.45/166.23 [5493]~P4(x54933)+E(x54931,f191(f913(x54932,a900)))+E(f329(f329(f41(x54932,x54933),x54931),f329(f16(x54933,x54932),x54934)),x54934) % 166.45/166.23 [5494]~P4(x54943)+E(x54941,f191(f913(x54942,a900)))+E(f329(f329(f42(x54942,x54943),x54941),f329(f16(x54943,x54942),x54944)),x54944) % 166.45/166.23 [5708]~P112(x57083)+E(x57081,x57082)+~E(f305(x57083,x57084,x57081),f329(f329(f311(x57083),x57082),f191(f913(x57083,a900)))) % 166.45/166.23 [5709]~P112(x57093)+E(x57091,x57092)+~E(f305(x57093,x57091,x57092),f329(f329(f311(x57093),x57094),f191(f913(x57093,a900)))) % 166.45/166.23 [5770]~P35(x57703,x57701,x57704)+P35(x57703,x57701,f329(f329(f154(x57703),x57702),x57704))+P1(f329(x57701,x57702)) % 166.45/166.23 [5871]~P31(x58711,x58712,x58714)+~P1(f329(x58712,x58713))+P31(x58711,x58712,f329(f329(f154(x58711),x58713),x58714)) % 166.45/166.23 [6010]P1(f329(x60101,x60102))+~P1(f329(f253(x60103,x60101),x60104))+~P1(f329(f329(f331(x60103),x60102),x60104)) % 166.45/166.23 [6019]~P31(x60191,x60192,x60194)+~P31(x60191,x60192,x60193)+P31(x60191,x60192,f329(f329(f137(x60191),x60193),x60194)) % 166.45/166.23 [6032]P33(x60321,x60322,x60323)+~P33(x60321,x60322,f329(f329(f154(x60321),x60324),x60323))+P1(f329(x60322,x60324)) % 166.45/166.23 [6033]P35(x60331,x60332,x60333)+~P35(x60331,x60332,f329(f329(f154(x60331),x60334),x60333))+P1(f329(x60332,x60334)) % 166.45/166.23 [6044]E(x60441,x60442)+~P1(f329(f329(f197(x60443),x60444),x60442))+~P1(f329(f329(f197(x60443),x60444),x60441)) % 166.45/166.23 [6112]P33(x61121,x61122,x61123)+P33(x61121,x61122,x61124)+~P33(x61121,x61122,f329(f329(f137(x61121),x61124),x61123)) % 166.45/166.23 [6131]~P74(x61311)+E(f329(f329(f6(a905,x61311),x61312),f329(f304(a905,x61313),f329(a117,x61314))),f2(x61311))+~P1(f329(f329(f240(a905),x61314),x61313)) % 166.45/166.23 [6136]~P64(x61361)+~E(f47(x61361,x61362,x61363),f47(x61361,x61364,x61363))+E(f47(x61361,f329(f81(x61361),x61362),x61363),f47(x61361,f329(f81(x61361),x61364),x61363)) % 166.45/166.23 [6205]P1(f329(x62051,x62052))+~E(f329(f139(x62053,x62051),x62054),x62054)+~P1(f329(f329(f331(x62053),x62052),f329(f175(x62053),x62054))) % 166.45/166.23 [6224]~E(f329(f329(f82(a905),x62243),x62242),f329(f329(f82(a905),x62241),x62244))+~P1(f329(f329(f240(a905),x62243),x62244))+P1(f329(f329(f240(a905),x62241),x62242)) % 166.45/166.23 [6231]P33(x62311,x62312,x62313)+~P1(f329(x62312,x62314))+~P1(f329(f329(f331(x62311),x62314),f329(f175(x62311),x62313))) % 166.45/166.23 [6269]~P31(x62693,x62691,x62694)+P1(f329(x62691,x62692))+~P1(f329(f329(f331(x62693),x62692),f329(f175(x62693),x62694))) % 166.45/166.23 [6271]~E(f329(f139(x62711,x62712),x62713),f118(x62711))+~P1(f329(x62712,x62714))+~P1(f329(f329(f331(x62711),x62714),f329(f175(x62711),x62713))) % 166.45/166.23 [6272]~E(f180(x62723,x62721,x62724),x62724)+P1(f329(x62721,x62722))+~P1(f329(f329(f331(x62723),x62722),f329(f175(x62723),x62724))) % 166.45/166.23 [6298]~E(x62984,f191(f913(x62982,a900)))+~E(x62983,f191(f913(x62981,a900)))+E(f315(x62981,x62982,x62983,x62984),f191(f913(f911(x62981,x62982),a900))) % 166.45/166.23 [6444]P1(f329(x64441,x64442))+~P1(f329(f163(x64443,x64441),x64444))+~P1(f329(f329(f331(x64443),x64442),f329(f175(x64443),x64444))) % 166.45/166.23 [6722]~P74(x67221)+E(f329(f329(f6(a905,x67221),x67222),f305(a905,x67223,f329(a117,x67224))),f2(x67221))+~P1(f329(f329(f240(a905),f329(a117,x67224)),x67223)) % 166.45/166.23 [6861]~P105(x68611)+E(f329(f329(f23(f913(x68611,a900)),f329(f304(x68611,x68612),x68613)),f329(f304(x68611,x68612),x68614)),f329(f304(x68611,x68614),x68613))+~P1(f329(f329(f239(x68611),x68612),x68614)) % 166.45/166.23 [6932]~E(x69323,x69324)+E(x69321,f2(a905))+P1(f329(f329(f331(x69322),x69323),f329(f175(x69322),f172(x69322,x69321,x69324)))) % 166.45/166.23 [7207]~P1(f329(f329(f331(f906(x72071)),x72074),f164(x72071,x72073)))+P1(f329(f329(f331(x72071),x72072),x72073))+~P1(f329(f329(f331(x72071),x72072),f329(f175(x72071),x72074))) % 166.45/166.23 [7214]~P37(x72141,x72142)+P1(f329(f329(f331(x72141),f649(x72142,x72141,x72143)),x72143))+~P1(f329(f329(f331(x72141),x72144),x72143)) % 166.45/166.23 [7269]~P74(x72691)+E(f329(f329(f329(f67(x72691,x72692,f82(x72691)),x72693),f2(x72691)),x72694),f329(f329(f6(x72692,x72691),x72693),x72694))+~P1(f329(f63(x72692),x72694)) % 166.45/166.23 [7271]~P80(x72711)+E(f329(f329(f329(f67(x72711,x72712,f83(x72711)),x72713),f80(x72711)),x72714),f329(f329(f9(x72712,x72711),x72713),x72714))+~P1(f329(f63(x72712),x72714)) % 166.45/166.23 [7299]P24(x72991,x72992,x72993,x72994)+~E(f329(f37(x72992),f329(f312(x72991,x72992,x72993),x72994)),f329(f37(x72991),x72994))+~P1(f329(f63(x72991),x72994)) % 166.45/166.23 [7496]~P74(x74961)+E(f329(f329(f82(x74961),f329(x74962,x74963)),f329(f329(f6(a905,x74961),x74962),f307(a905,x74963,x74964))),f329(f329(f6(a905,x74961),x74962),f305(a905,x74963,x74964)))+~P1(f329(f329(f239(a905),x74963),x74964)) % 166.45/166.23 [7506]~P74(x75061)+~P24(x75062,x75061,x75063,x75064)+E(f329(f329(f6(x75061,x75061),f33(x75061)),f329(f312(x75062,x75061,x75063),x75064)),f329(f329(f6(x75062,x75061),x75063),x75064)) % 166.45/166.23 [7507]~P80(x75071)+~P24(x75072,x75071,x75073,x75074)+E(f329(f329(f9(x75071,x75071),f33(x75071)),f329(f312(x75072,x75071,x75073),x75074)),f329(f329(f9(x75072,x75071),x75073),x75074)) % 166.45/166.23 [7562]E(f329(f37(f911(x75621,x75622)),f315(x75621,x75622,x75623,x75624)),f329(f329(f82(a905),f329(f37(x75621),x75623)),f329(f37(x75622),x75624)))+~P1(f329(f63(x75622),x75624))+~P1(f329(f63(x75621),x75623)) % 166.45/166.23 [7643]E(x76431,x76432)+P1(f329(f329(f331(x76433),x76431),f329(f175(x76433),f173(x76433,x76432,x76434))))+~P1(f329(f329(f331(x76433),x76431),f329(f175(x76433),x76434))) % 166.45/166.23 [7785]~P1(f329(f329(f239(f913(x77851,a900)),x77854),f329(x77853,x77854)))+~P1(f329(f329(f331(x77851),x77852),x77854))+P1(f329(f329(f331(x77851),x77852),f101(f913(x77851,a900),x77853))) % 166.45/166.23 [7871]~P74(x78711)+E(f329(f329(f82(x78711),f329(f329(f6(a905,x78711),x78712),f329(f304(a905,x78713),x78714))),f329(x78712,x78714)),f329(f329(f6(a905,x78711),x78712),f329(f304(a905,x78713),f329(a117,x78714))))+P1(f329(f329(f240(a905),x78714),x78713)) % 166.45/166.23 [7928]~P24(x79281,x79282,x79283,f247(f913(x79281,a900)))+~P1(f329(f63(x79282),x79284))+P1(f329(f63(x79281),f329(f313(x79281,x79282,x79283),x79284))) % 166.45/166.23 [8044]P1(f329(f329(f331(f906(x80441)),f329(f329(f154(x80441),x80442),x80443)),f164(x80441,x80444)))+~P1(f329(f329(f331(f906(x80441)),x80443),f164(x80441,x80444)))+~P1(f329(f329(f331(x80441),x80442),x80444)) % 166.45/166.23 [8136]~E(f329(f312(x81363,x81361,x81364),f247(f913(x81363,a900))),f247(f913(x81361,a900)))+P1(f329(f63(x81361),x81362))+~P1(f329(f63(x81363),f329(f313(x81363,x81361,x81364),x81362))) % 166.45/166.23 [8236]~P24(x82361,x82363,x82364,x82362)+P1(f329(f63(x82361),x82362))+~P1(f329(f63(x82363),f329(f312(x82361,x82363,x82364),x82362))) % 166.45/166.23 [8256]~E(x82562,x82563)+P1(f329(f329(f331(f912(x82561,x82561)),f329(f329(f257(x82561,x82561),x82562),x82563)),f268(x82561,x82564)))+~P1(f329(f329(f331(x82561),x82562),x82564)) % 166.45/166.23 [8291]~P74(x82911)+E(f329(f329(f82(x82911),f329(f329(f6(a905,x82911),x82912),f305(a905,x82913,x82914))),f329(x82912,f329(a117,x82914))),f329(f329(f6(a905,x82911),x82912),f305(a905,x82913,f329(a117,x82914))))+P1(f329(f329(f240(a905),f329(a117,x82914)),x82913)) % 166.45/166.23 [8352]P1(f329(x83521,x83522))+~P1(f329(x83521,f329(f329(f167(x83523),x83524),f688(x83521,x83524,x83523))))+~P1(f329(f329(f331(x83523),x83522),f329(f175(x83523),x83524))) % 166.45/166.23 [8493]~P1(f329(f329(f331(x84931),x84932),f318(x84931,x84934)))+P1(f329(f329(f331(f906(x84931)),f329(f329(f154(x84931),x84932),x84933)),f318(f906(x84931),f160(x84931,x84934))))+~P1(f329(f329(f331(f906(x84931)),x84933),f318(f906(x84931),f160(x84931,x84934)))) % 166.45/166.23 [8508]~P24(x85082,x85083,x85084,f652(x85084,x85083,x85082,x85081))+P24(x85082,x85083,x85084,f40(f913(x85082,a900),x85081))+E(x85081,f191(f913(f913(x85082,a900),a900))) % 166.45/166.23 [8785]E(x87851,x87852)+~P1(f329(f329(f331(f912(x87853,x87853)),f329(f329(f257(x87853,x87853),x87851),x87852)),f309(x87853,x87854)))+P1(f329(f329(f331(x87853),x87851),f329(f269(x87853,x87853),x87854))) % 166.45/166.23 [9054]E(x90541,f2(a905))+P1(f329(x90542,x90543))+P1(f329(f329(f331(x90544),f795(x90542,x90543,x90541,x90544)),f329(f175(x90544),f172(x90544,x90541,x90543)))) % 166.45/166.23 [9066]E(x90661,f2(a905))+~P1(f329(x90663,x90664))+P1(f329(f329(f331(x90662),f794(x90663,x90664,x90661,x90662)),f329(f175(x90662),f172(x90662,x90661,x90664)))) % 166.45/166.23 [9068]~P25(x90681,x90682,x90683,f247(f913(x90681,a900)),f247(f913(x90682,a900)))+~P1(f329(f63(x90682),x90684))+P1(f329(f63(x90681),f329(f313(x90681,x90682,x90683),x90684))) % 166.45/166.23 [9071]P24(x90712,x90713,x90714,f40(f913(x90712,a900),x90711))+E(x90711,f191(f913(f913(x90712,a900),a900)))+P1(f329(f329(f331(f913(x90712,a900)),f652(x90714,x90713,x90712,x90711)),x90711)) % 166.45/166.23 [9189]~P25(x91893,x91891,x91894,f247(f913(x91893,a900)),f247(f913(x91891,a900)))+P1(f329(f63(x91891),x91892))+~P1(f329(f63(x91893),f329(f313(x91893,x91891,x91894),x91892))) % 166.45/166.23 [9206]P1(f329(f63(x92061),x92062))+~P1(f329(f63(x92064),f329(f312(x92061,x92064,x92063),x92062)))+P1(f329(f329(f331(x92061),f423(x92063,x92064,x92062,x92061)),x92062)) % 166.45/166.23 [9309]~P4(x93092)+E(f329(f329(f66(x93091,x93092,f329(f329(f8(x93092,f913(x93092,x93092),x93091),f115(x93092)),x93093)),f191(x93092)),x93094),f329(f329(f41(x93091,x93092),x93094),x93093))+~P1(f329(f63(x93091),x93094)) % 166.45/166.23 [9310]~P4(x93102)+E(f329(f329(f66(x93101,x93102,f329(f329(f8(x93102,f913(x93102,x93102),x93101),f106(x93102)),x93103)),f247(x93102)),x93104),f329(f329(f42(x93101,x93102),x93104),x93103))+~P1(f329(f63(x93101),x93104)) % 166.45/166.23 [9389]P1(f329(x93891,x93892))+~P1(f329(x93891,f329(f329(f167(x93893),x93894),f722(x93892,x93891,x93894,x93893))))+~P1(f329(f329(f331(x93893),x93892),f329(f175(x93893),x93894))) % 166.45/166.23 [9410]E(x94101,x94102)+~P1(f329(f329(f331(f912(x94103,x94103)),f329(f329(f257(x94103,x94103),x94101),x94102)),f309(x94103,x94104)))+P1(f329(f329(f331(f912(x94103,x94103)),f329(f329(f257(x94103,x94103),x94101),x94102)),f329(f329(f291(x94103,x94103,x94103),x94104),f309(x94103,x94104)))) % 166.45/166.23 [9461]~E(f329(f192(f906(x94611)),x94612),f329(f192(f906(x94611)),x94613))+~P1(f329(f329(f331(f912(f906(x94611),f906(x94611))),f329(f329(f257(f906(x94611),f906(x94611)),x94612),x94613)),f150(x94611,x94614)))+P1(f329(f329(f331(f912(f906(x94611),f906(x94611))),f329(f329(f257(f906(x94611),f906(x94611)),x94612),x94613)),f148(x94611,x94614))) % 166.45/166.23 [9696]P31(x96961,f329(f329(f18(x96961,a900,a900),f329(f329(f8(a900,f913(a900,a900),x96961),a328),f329(f329(f8(a900,a900,x96961),a324),x96962))),f329(a326,x96963)),x96964)+~P1(f329(x96962,x96963))+~P35(x96961,x96962,f329(f329(f154(x96961),x96963),x96964)) % 166.45/166.23 [9863]~P31(x98631,f329(f329(f18(x98631,a900,a900),f329(f329(f8(a900,f913(a900,a900),x98631),a328),f329(f329(f8(a900,a900,x98631),a324),x98632))),f329(a326,x98633)),x98634)+~P1(f329(x98632,x98633))+P35(x98631,x98632,f329(f329(f154(x98631),x98633),x98634)) % 166.45/166.23 [9867]~P35(x98671,x98672,x98674)+~P31(x98671,f329(f329(f18(x98671,a900,a900),f329(f329(f8(a900,f913(a900,a900),x98671),a328),f329(f329(f8(a900,a900,x98671),a324),x98672))),f329(a326,x98673)),x98674)+P35(x98671,x98672,f329(f329(f154(x98671),x98673),x98674)) % 166.45/166.23 [9902]~P68(x99021)+E(f329(f329(f6(a905,x99021),f329(f329(f18(a905,x99021,x99021),f329(f329(f8(x99021,f913(x99021,x99021),a905),f23(x99021)),x99022)),f329(f329(f8(a905,x99021,a905),x99022),f329(f329(f7(a905,a905,a905),f82(a905)),f80(a905))))),f305(a905,x99023,x99024)),f2(x99021))+P1(f329(f329(f239(a905),x99023),x99024)) % 166.45/166.23 [10128]~P37(x101282,x101284)+~P24(x101282,x101281,x101283,f247(f913(x101282,a900)))+P37(x101281,f329(f312(f912(x101282,x101282),f912(x101281,x101281),f263(x101282,x101281,x101282,x101281,x101283,x101283)),x101284)) % 166.45/166.23 [10310]~E(f329(f192(f906(x103101)),x103103),f329(f192(f906(x103101)),x103102))+P1(f329(f329(f331(f912(f906(x103101),f906(x103101))),f329(f329(f257(f906(x103101),f906(x103101)),x103102),x103103)),f161(x103101,x103104)))+~P1(f329(f329(f262(x103101,x103101,a900),f329(f329(f7(x103101,f913(f912(x103101,x103101),a900),f913(x103101,a900)),f329(f329(f8(f913(x103101,f913(f913(f912(x103101,x103101),a900),a900)),f913(f913(f912(x103101,x103101),a900),f913(x103101,a900)),x103101),f7(x103101,f913(f912(x103101,x103101),a900),a900)),f329(f329(f8(f913(x103101,f912(x103101,x103101)),f913(x103101,f913(f913(f912(x103101,x103101),a900),a900)),x103101),f329(f8(f912(x103101,x103101),f913(f913(f912(x103101,x103101),a900),a900),x103101),f331(f912(x103101,x103101)))),f257(x103101,x103101)))),x103104)),f690(x103104,x103103,x103102,x103101))) % 166.45/166.23 [6094]~E(x60944,x60942)+P1(f329(x60941,x60942))+P1(f329(f329(f197(f31(x60941,x60943)),x60942),x60944)) % 166.45/166.23 [6186]~P63(x61861)+~E(x61862,f2(x61861))+E(f329(f329(f38(x61861),f329(f329(f83(x61861),x61862),x61863)),f329(f329(f83(x61861),x61862),x61864)),f2(x61861)) % 166.45/166.23 [6228]E(x62281,f118(x62282))+E(x62283,f329(f329(f23(a905),f329(f192(f906(x62282)),x62281)),f80(a905)))+E(f147(x62282,f329(f329(f162(x62282,x62281),x62283),x62284)),f147(x62282,x62281)) % 166.45/166.23 [6260]E(x62601,x62602)+P1(f329(x62603,x62602))+~P1(f329(f329(f329(f311(x62604),x62601),x62603),x62602)) % 166.45/166.23 [6276]~P74(x62761)+~P1(f329(f140(x62762),x62764))+E(f329(f168(x62761),f329(f329(f157(x62762,x62761),x62763),x62764)),f329(f329(f6(x62762,x62761),x62763),f329(f175(x62762),x62764))) % 166.45/166.23 [6291]~P80(x62912)+~P1(f329(f63(x62911),x62914))+E(f329(f329(f9(x62911,x62912),f329(f16(x62912,x62911),x62913)),x62914),f329(f329(f249(x62912),x62913),f329(f37(x62911),x62914))) % 166.45/166.23 [6345]~P70(x63452)+E(x63451,f2(x63452))+E(f329(f329(f292(x63452),f329(f329(f83(x63452),x63453),x63451)),f329(f329(f83(x63452),x63454),x63451)),f329(f329(f292(x63452),x63453),x63454)) % 166.45/166.23 [6346]~P70(x63462)+E(x63461,f2(x63462))+E(f329(f329(f292(x63462),f329(f329(f83(x63462),x63461),x63463)),f329(f329(f83(x63462),x63461),x63464)),f329(f329(f292(x63462),x63463),x63464)) % 166.45/166.23 [6347]~P63(x63472)+E(x63471,f2(x63472))+E(f329(f329(f38(x63472),f329(f329(f83(x63472),x63473),x63471)),f329(f329(f83(x63472),x63474),x63471)),f329(f329(f38(x63472),x63473),x63474)) % 166.45/166.23 [6349]~P63(x63492)+E(x63491,f2(x63492))+E(f329(f329(f38(x63492),f329(f329(f83(x63492),x63491),x63493)),f329(f329(f83(x63492),x63491),x63494)),f329(f329(f38(x63492),x63493),x63494)) % 166.45/166.23 [6413]P1(f329(x64131,x64132))+~E(x64133,f329(f329(f82(a905),x64134),x64132))+~P1(f329(x64131,f329(f329(f23(a905),x64133),x64134))) % 166.45/166.23 [6498]P28(x64981,x64982,x64983)+P27(x64981,f568(x64983,x64982,x64981),x64984)+~P1(f329(f329(f331(f904(x64981)),x64984),x64982)) % 166.45/166.23 [6501]~P1(f329(x65012,x65013))+~P1(f329(f163(x65011,x65012),x65014))+P1(f329(f163(x65011,x65012),f329(f329(f154(x65011),x65013),x65014))) % 166.45/166.23 [6543]E(x65431,f118(x65432))+~E(x65433,f329(f329(f23(a905),f329(f192(f906(x65432)),x65431)),f80(a905)))+E(f147(x65432,f329(f329(f162(x65432,x65431),x65433),x65434)),x65434) % 166.45/166.23 [6566]~P106(x65661)+~P1(f329(f329(f239(x65661),x65662),x65664))+P1(f329(f329(f239(x65661),x65662),f329(f329(f115(x65661),x65663),x65664))) % 166.45/166.23 [6567]~P106(x65671)+~P1(f329(f329(f239(x65671),x65672),x65673))+P1(f329(f329(f239(x65671),x65672),f329(f329(f115(x65671),x65673),x65674))) % 166.45/166.23 [6569]~P105(x65691)+~P1(f329(f329(f239(x65691),x65692),x65694))+P1(f329(f329(f239(x65691),x65692),f329(f329(f238(x65691),x65693),x65694))) % 166.45/166.23 [6571]~P105(x65711)+~P1(f329(f329(f239(x65711),x65712),x65713))+P1(f329(f329(f239(x65711),x65712),f329(f329(f238(x65711),x65713),x65714))) % 166.45/166.23 [6572]~P106(x65721)+~P1(f329(f329(f240(x65721),x65722),x65724))+P1(f329(f329(f240(x65721),x65722),f329(f329(f115(x65721),x65723),x65724))) % 166.45/166.23 [6573]~P106(x65731)+~P1(f329(f329(f240(x65731),x65732),x65733))+P1(f329(f329(f240(x65731),x65732),f329(f329(f115(x65731),x65733),x65734))) % 166.45/166.23 [6575]~P105(x65751)+~P1(f329(f329(f240(x65751),x65752),x65754))+P1(f329(f329(f240(x65751),x65752),f329(f329(f238(x65751),x65753),x65754))) % 166.45/166.23 [6577]~P105(x65771)+~P1(f329(f329(f240(x65771),x65772),x65773))+P1(f329(f329(f240(x65771),x65772),f329(f329(f238(x65771),x65773),x65774))) % 166.45/166.23 [6666]~E(f329(f329(f167(x66661),x66662),x66663),x66664)+E(f329(f329(f162(x66661,x66662),x66663),x66664),x66662)+~P1(f329(f329(f240(a905),x66663),f329(f192(f906(x66661)),x66662))) % 166.45/166.23 [6684]E(x66841,x66842)+P1(f329(x66843,x66841))+~P1(f329(f329(f197(f31(x66843,x66844)),x66841),x66842)) % 166.45/166.23 [6708]P1(f329(x67081,x67082))+~P1(f329(x67083,x67082))+~P1(f329(f329(f239(f913(x67084,a900)),x67083),x67081)) % 166.45/166.23 [6739]~E(f329(f329(f162(x67391,x67392),x67393),x67394),x67392)+E(f329(f329(f167(x67391),x67392),x67393),x67394)+~P1(f329(f329(f240(a905),x67393),f329(f192(f906(x67391)),x67392))) % 166.45/166.23 [6753]~P1(f329(f163(x67531,x67532),x67534))+~P1(f329(f163(x67531,x67532),x67533))+P1(f329(f163(x67531,x67532),f329(f329(f137(x67531),x67533),x67534))) % 166.45/166.23 [6850]P27(x68501,x68502,x68503)+~P27(x68501,f329(a117,x68502),f571(x68502,x68504,x68501))+~P1(f329(f329(f331(f904(x68501)),x68503),x68504)) % 166.45/166.23 [6857]E(x68571,f191(f913(x68572,a900)))+E(x68573,f191(f913(x68574,a900)))+~E(f329(f329(f259(x68574,x68572),x68573),f329(f16(f913(x68572,a900),x68574),x68571)),f191(f913(f912(x68574,x68572),a900))) % 166.45/166.23 [6877]E(x68771,x68772)+P1(f329(f329(f331(x68773),x68771),x68774))+~P1(f329(f329(f331(x68773),x68771),f329(f329(f311(x68773),x68772),x68774))) % 166.45/166.23 [6894]~P105(x68941)+P1(f329(f329(f239(x68941),x68942),x68943))+~P1(f329(f329(f239(x68941),x68942),f329(f329(f237(x68941),x68944),x68943))) % 166.45/166.23 [6896]~P105(x68961)+P1(f329(f329(f239(x68961),x68962),x68963))+~P1(f329(f329(f239(x68961),x68962),f329(f329(f237(x68961),x68963),x68964))) % 166.45/166.23 [6898]~P107(x68981)+P1(f329(f329(f239(x68981),x68982),x68983))+~P1(f329(f329(f239(x68981),x68982),f329(f329(f106(x68981),x68984),x68983))) % 166.45/166.23 [6900]~P107(x69001)+P1(f329(f329(f239(x69001),x69002),x69003))+~P1(f329(f329(f239(x69001),x69002),f329(f329(f106(x69001),x69003),x69004))) % 166.45/166.23 [6901]~P105(x69011)+P1(f329(f329(f240(x69011),x69012),x69013))+~P1(f329(f329(f240(x69011),x69012),f329(f329(f237(x69011),x69014),x69013))) % 166.45/166.23 [6902]~P105(x69021)+P1(f329(f329(f240(x69021),x69022),x69023))+~P1(f329(f329(f240(x69021),x69022),f329(f329(f237(x69021),x69023),x69024))) % 166.45/166.23 [6923]~E(f329(f329(f167(x69231),x69233),x69234),x69232)+P1(f329(f329(f331(x69231),x69232),f329(f175(x69231),x69233)))+~P1(f329(f329(f240(a905),x69234),f329(f192(f906(x69231)),x69233))) % 166.45/166.23 [6933]~P105(x69331)+~P12(x69331,f329(f329(f154(x69331),x69332),f329(f329(f154(x69331),x69333),x69334)))+P1(f329(f329(f239(x69331),x69332),x69333)) % 166.45/166.23 [7075]~P31(x70752,x70751,x70753)+P1(f329(x70751,f329(f329(f167(x70752),x70753),x70754)))+~P1(f329(f329(f240(a905),x70754),f329(f192(f906(x70752)),x70753))) % 166.45/166.23 [7093]E(x70931,f2(a1))+E(f329(f329(f38(a1),x70932),x70931),x70933)+~P1(f329(f51(x70932,x70931),f329(f329(f257(a1,a1),x70933),x70934))) % 166.45/166.23 [7114]E(f47(a1,x71142,x71141),x71143)+E(x71141,f2(a1))+~P1(f329(f51(x71142,x71141),f329(f329(f257(a1,a1),x71144),x71143))) % 166.45/166.23 [7231]P1(f329(f329(f331(x72311),x72312),x72313))+~P1(f329(f329(f331(x72311),x72312),x72314))+~P1(f329(f329(f240(f913(x72311,a900)),x72314),x72313)) % 166.45/166.23 [7232]P1(f329(f329(f331(x72321),x72322),x72323))+~P1(f329(f329(f331(x72321),x72322),x72324))+~P1(f329(f329(f239(f913(x72321,a900)),x72324),x72323)) % 166.45/166.23 [7343]P33(x73431,x73432,x73433)+~P1(f329(x73432,f329(f329(f167(x73431),x73433),x73434)))+~P1(f329(f329(f240(a905),x73434),f329(f192(f906(x73431)),x73433))) % 166.45/166.23 [7464]~P113(x74642)+~P1(f329(f329(f240(f913(x74641,x74642)),x74643),x74644))+P1(f329(f329(f239(f913(x74641,x74642)),x74643),x74644)) % 166.45/166.23 [7551]~P23(x75511,x75512,x75514)+P23(x75511,x75512,f329(f329(f311(f904(x75511)),x75513),x75514))+~P23(x75511,x75512,f329(f329(f311(f904(x75511)),x75513),f191(f913(f904(x75511),a900)))) % 166.45/166.23 [7594]~P1(f329(f329(f331(x75941),x75942),x75944))+P1(f329(f329(f331(x75941),x75942),f39(f913(x75941,a900),x75943)))+~P1(f329(f329(f331(f913(x75941,a900)),x75944),x75943)) % 166.45/166.23 [7604]P27(x76041,x76042,x76043)+P1(f329(f329(f331(f904(x76041)),f571(x76042,x76044,x76041)),x76044))+~P1(f329(f329(f331(f904(x76041)),x76043),x76044)) % 166.45/166.23 [7623]~P88(x76231)+~P1(f329(f329(f239(x76231),x76233),x76234))+P1(f329(f329(f239(x76231),f329(f329(f82(x76231),x76232),x76233)),f329(f329(f82(x76231),x76232),x76234))) % 166.45/166.23 [7624]~P92(x76241)+~P1(f329(f329(f239(x76241),x76243),x76244))+P1(f329(f329(f239(x76241),f329(f329(f82(x76241),x76242),x76243)),f329(f329(f82(x76241),x76242),x76244))) % 166.45/166.23 [7625]~P88(x76251)+~P1(f329(f329(f239(x76251),x76252),x76254))+P1(f329(f329(f239(x76251),f329(f329(f82(x76251),x76252),x76253)),f329(f329(f82(x76251),x76254),x76253))) % 166.45/166.23 [7626]~P92(x76261)+~P1(f329(f329(f239(x76261),x76262),x76264))+P1(f329(f329(f239(x76261),f329(f329(f82(x76261),x76262),x76263)),f329(f329(f82(x76261),x76264),x76263))) % 166.45/166.23 [7627]~P91(x76271)+~P1(f329(f329(f240(x76271),x76273),x76274))+P1(f329(f329(f240(x76271),f329(f329(f82(x76271),x76272),x76273)),f329(f329(f82(x76271),x76272),x76274))) % 166.45/166.23 [7628]~P92(x76281)+~P1(f329(f329(f240(x76281),x76283),x76284))+P1(f329(f329(f240(x76281),f329(f329(f82(x76281),x76282),x76283)),f329(f329(f82(x76281),x76282),x76284))) % 166.45/166.23 [7629]~P91(x76291)+~P1(f329(f329(f240(x76291),x76292),x76294))+P1(f329(f329(f240(x76291),f329(f329(f82(x76291),x76292),x76293)),f329(f329(f82(x76291),x76294),x76293))) % 166.45/166.23 [7630]~P92(x76301)+~P1(f329(f329(f240(x76301),x76302),x76304))+P1(f329(f329(f240(x76301),f329(f329(f82(x76301),x76302),x76303)),f329(f329(f82(x76301),x76304),x76303))) % 166.45/166.23 [7637]~P116(x76371)+~P98(x76371)+E(f329(f329(f23(x76371),f329(f329(f83(x76371),x76372),f329(f108(x76371),x76373))),f329(f329(f83(x76371),x76374),f329(f108(x76371),x76373))),f329(f329(f83(x76371),f329(f329(f23(x76371),x76372),x76374)),f329(f108(x76371),x76373))) % 166.45/166.23 [7638]~P145(x76381)+~P98(x76381)+E(f329(f329(f82(x76381),f329(f329(f83(x76381),x76382),f329(f108(x76381),x76383))),f329(f329(f83(x76381),x76384),f329(f108(x76381),x76383))),f329(f329(f83(x76381),f329(f329(f82(x76381),x76382),x76384)),f329(f108(x76381),x76383))) % 166.45/166.23 [7674]~P74(x76741)+E(f329(f329(f82(x76741),f329(x76742,x76743)),f329(f329(f6(a905,x76741),x76742),f305(a905,f329(a117,x76743),x76744))),f329(f329(f6(a905,x76741),x76742),f305(a905,x76743,x76744)))+~P1(f329(f329(f239(a905),x76743),x76744)) % 166.45/166.23 [7686]~P24(x76862,x76861,x76863,f329(f175(x76862),x76864))+~P1(f329(f140(x76862),x76864))+P1(f329(f140(x76861),f329(f329(f157(x76862,x76861),x76863),x76864))) % 166.45/166.23 [7733]~P1(f329(f329(f239(a905),x77332),x77334))+~P1(f329(f329(f239(a905),x77331),x77333))+P1(f329(f329(f239(a905),f329(f329(f82(a905),x77331),x77332)),f329(f329(f82(a905),x77333),x77334))) % 166.45/166.23 [7734]~P1(f329(f329(f239(a905),x77342),x77344))+~P1(f329(f329(f239(a905),x77341),x77343))+P1(f329(f329(f239(a905),f329(f329(f83(a905),x77341),x77342)),f329(f329(f83(a905),x77343),x77344))) % 166.45/166.23 [7737]~P1(f329(f329(f240(a905),x77372),x77374))+~P1(f329(f329(f240(a905),x77371),x77373))+P1(f329(f329(f240(a905),f329(f329(f82(a905),x77371),x77372)),f329(f329(f82(a905),x77373),x77374))) % 166.45/166.23 [7738]~P1(f329(f329(f239(a1),x77382),x77384))+~P1(f329(f329(f240(a1),x77381),x77383))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x77381),x77382)),f329(f329(f82(a1),x77383),x77384))) % 166.45/166.23 [7787]P1(f329(f329(f331(x77871),x77872),x77873))+~P1(f329(f329(f331(x77871),x77872),f40(f913(x77871,a900),x77874)))+~P1(f329(f329(f331(f913(x77871,a900)),x77873),x77874)) % 166.45/166.23 [7803]~P1(f329(x78031,f685(x78031,x78033,x78032)))+P1(f329(x78031,f329(f329(f167(x78032),x78033),x78034)))+~P1(f329(f329(f240(a905),x78034),f329(f192(f906(x78032)),x78033))) % 166.45/166.23 [7808]P1(f329(x78081,x78082))+~P1(f329(f329(f331(x78084),x78082),f329(f175(x78084),x78083)))+P1(f329(f329(f240(a905),f688(x78081,x78083,x78084)),f329(f192(f906(x78084)),x78083))) % 166.45/166.23 [7825]~P1(f329(f329(f197(x78252),x78253),x78254))+~P1(f329(f329(f197(f31(x78251,x78252)),x78254),x78253))+P1(f329(f329(f197(f31(x78251,x78252)),x78253),x78253)) % 166.45/166.23 [7856]~P113(x78561)+~P1(f329(f329(f240(f913(x78562,x78561)),x78564),x78563))+~P1(f329(f329(f239(f913(x78562,x78561)),x78563),x78564)) % 166.45/166.23 [7901]~P1(f329(x79014,x79012))+~P1(f329(f329(f331(x79011),x79012),x79013))+P1(f329(f329(f331(x79011),x79012),f329(f329(f106(f913(x79011,a900)),x79013),f329(f267(x79011),x79014)))) % 166.45/166.23 [8052]~P1(f329(f329(f331(x80521),x80523),x80524))+~P1(f329(f329(f240(f913(x80521,a900)),x80522),x80524))+P1(f329(f329(f240(f913(x80521,a900)),x80522),f329(f329(f311(x80521),x80523),x80524))) % 166.45/166.23 [8054]E(f329(f329(f106(f913(x80541,a900)),x80542),x80543),f191(f913(x80541,a900)))+~E(f329(f329(f106(f913(x80541,a900)),f39(f913(x80541,a900),x80544)),x80543),f191(f913(x80541,a900)))+~P1(f329(f329(f331(f913(x80541,a900)),x80542),x80544)) % 166.45/166.23 [8132]P1(f329(f329(f331(x81321),x81322),x81323))+~P1(f329(f329(f239(f913(x81321,a900)),x81323),f329(f329(f311(x81321),x81322),x81324)))+P1(f329(f329(f239(f913(x81321,a900)),x81323),x81324)) % 166.45/166.23 [8154]P1(f329(f329(f331(x81542),f685(x81541,x81543,x81542)),f329(f175(x81542),x81543)))+P1(f329(x81541,f329(f329(f167(x81542),x81543),x81544)))+~P1(f329(f329(f240(a905),x81544),f329(f192(f906(x81542)),x81543))) % 166.45/166.23 [8162]~P1(f329(f329(f239(f913(x81621,a900)),x81622),x81624))+P1(f329(f329(f239(f913(x81621,a900)),x81622),x81623))+~P1(f329(f329(f239(f913(x81621,a900)),x81624),x81623)) % 166.45/166.23 [8163]~P1(f329(f329(f240(f913(x81631,a900)),x81632),x81634))+~P1(f329(f329(f239(f913(x81631,a900)),x81634),x81633))+P1(f329(f329(f240(f913(x81631,a900)),x81632),x81633)) % 166.45/166.23 [8164]~P1(f329(f329(f239(f913(x81641,a900)),x81642),x81644))+~P1(f329(f329(f240(f913(x81641,a900)),x81644),x81643))+P1(f329(f329(f240(f913(x81641,a900)),x81642),x81643)) % 166.45/166.23 [8165]~P1(f329(f329(f240(f913(x81651,a900)),x81652),x81654))+P1(f329(f329(f240(f913(x81651,a900)),x81652),x81653))+~P1(f329(f329(f240(f913(x81651,a900)),x81654),x81653)) % 166.45/166.23 [8209]~P1(f329(f329(f331(x82091),x82094),x82093))+~P1(f329(f329(f240(f913(x82091,a900)),x82092),f329(f329(f311(x82091),x82094),x82093)))+P1(f329(f329(f240(f913(x82091,a900)),x82092),x82093)) % 166.45/166.23 [8222]~P92(x82221)+P1(f329(f329(f239(x82221),x82222),x82223))+~P1(f329(f329(f239(x82221),f329(f329(f82(x82221),x82224),x82222)),f329(f329(f82(x82221),x82224),x82223))) % 166.45/166.23 [8224]~P92(x82241)+P1(f329(f329(f239(x82241),x82242),x82243))+~P1(f329(f329(f239(x82241),f329(f329(f82(x82241),x82242),x82244)),f329(f329(f82(x82241),x82243),x82244))) % 166.45/166.23 [8226]~P92(x82261)+P1(f329(f329(f240(x82261),x82262),x82263))+~P1(f329(f329(f240(x82261),f329(f329(f82(x82261),x82264),x82262)),f329(f329(f82(x82261),x82264),x82263))) % 166.45/166.23 [8228]~P92(x82281)+P1(f329(f329(f240(x82281),x82282),x82283))+~P1(f329(f329(f240(x82281),f329(f329(f82(x82281),x82282),x82284)),f329(f329(f82(x82281),x82283),x82284))) % 166.45/166.23 [8274]P1(f329(x82741,x82742))+~E(f329(f329(f141(x82743),f329(f192(f906(x82743)),f180(x82743,x82741,x82744))),x82744),f118(x82743))+~P1(f329(f329(f331(x82743),x82742),f329(f175(x82743),x82744))) % 166.45/166.23 [8394]P1(f329(x83941,x83942))+~P1(f329(f329(f331(x83943),x83942),f329(f175(x83943),x83944)))+P1(f329(f329(f240(a905),f329(f192(f906(x83943)),f329(f139(x83943,x83941),x83944))),f329(f192(f906(x83943)),x83944))) % 166.45/166.23 [8524]E(x85241,x85242)+P1(f329(f329(f197(x85243),x85241),f546(x85242,x85241,x85243,x85244)))+~P1(f329(f329(f197(f31(x85244,x85243)),x85241),x85242)) % 166.45/166.23 [8553]~P1(f329(x85534,x85532))+P1(f329(f329(f197(x85531),x85532),f546(x85533,x85532,x85531,x85534)))+~P1(f329(f329(f197(f31(x85534,x85531)),x85532),x85533)) % 166.45/166.23 [8879]~P1(f329(x88791,f766(x88791,x88793,x88792,x88794)))+P1(f329(x88791,f329(f329(f167(x88792),x88793),x88794)))+~P1(f329(f329(f240(a905),x88794),f329(f192(f906(x88792)),x88793))) % 166.45/166.23 [8904]~P24(x89044,x89043,x89041,f247(f913(x89044,a900)))+E(f329(x89041,f421(x89042,x89041,x89043,x89044)),x89042)+~P1(f329(f329(f331(x89043),x89042),f329(f312(x89044,x89043,x89041),f247(f913(x89044,a900))))) % 166.45/166.23 [8968]E(f180(x89681,x89682,x89683),f329(f329(f178(x89681),x89684),x89683))+P1(f329(f329(f240(a905),f748(x89682,x89683,x89681,x89684)),x89684))+P1(f329(f329(f240(a905),x89684),f329(f192(f906(x89681)),x89683))) % 166.45/166.23 [8971]E(f180(x89711,x89712,x89713),f329(f329(f178(x89711),x89714),x89713))+P1(f329(f329(f240(a905),f748(x89712,x89713,x89711,x89714)),x89714))+P1(f329(x89712,f329(f329(f167(x89711),x89713),x89714))) % 166.45/166.23 [9007]P1(f329(x90071,x90072))+~P1(f329(f329(f331(x90074),x90072),f329(f175(x90074),x90073)))+P1(f329(f329(f240(a905),f722(x90072,x90071,x90073,x90074)),f329(f192(f906(x90074)),x90073))) % 166.45/166.23 [9010]E(f180(x90101,x90102,x90103),f329(f329(f178(x90101),x90104),x90103))+P1(f329(f329(f240(a905),x90104),f329(f192(f906(x90101)),x90103)))+P1(f329(f329(f240(a905),f748(x90102,x90103,x90101,x90104)),f329(f192(f906(x90101)),x90103))) % 166.45/166.23 [9017]E(f180(x90171,x90172,x90173),f329(f329(f178(x90171),x90174),x90173))+P1(f329(x90172,f329(f329(f167(x90171),x90173),x90174)))+P1(f329(f329(f240(a905),f748(x90172,x90173,x90171,x90174)),f329(f192(f906(x90171)),x90173))) % 166.45/166.23 [9045]~P127(x90454)+P1(f329(f329(f331(x90451),f671(x90452,x90453,x90451,x90454)),x90453))+P1(f329(f329(f240(x90454),f2(x90454)),f329(f329(f9(x90451,x90454),x90452),x90453))) % 166.45/166.23 [9046]~P127(x90464)+P1(f329(f329(f331(x90461),f672(x90462,x90463,x90461,x90464)),x90463))+P1(f329(f329(f239(x90464),f2(x90464)),f329(f329(f9(x90461,x90464),x90462),x90463))) % 166.45/166.23 [9073]~P1(f329(f63(x90731),x90734))+P1(f329(f329(f331(x90731),f547(x90732,x90733,x90734,x90731)),x90734))+P1(f329(f63(f912(x90731,x90733)),f329(f329(f259(x90731,x90733),x90734),x90732))) % 166.45/166.23 [9105]P1(f329(f329(f331(x91052),f766(x91051,x91053,x91052,x91054)),f329(f175(x91052),x91053)))+P1(f329(x91051,f329(f329(f167(x91052),x91053),x91054)))+~P1(f329(f329(f240(a905),x91054),f329(f192(f906(x91052)),x91053))) % 166.45/166.23 [9120]E(x91201,x91202)+P1(f329(f329(f197(f31(x91203,x91204)),f546(x91201,x91202,x91204,x91203)),x91201))+~P1(f329(f329(f197(f31(x91203,x91204)),x91202),x91201)) % 166.45/166.23 [9141]~P1(f329(x91411,x91414))+P1(f329(f329(f197(f31(x91411,x91412)),f546(x91413,x91414,x91412,x91411)),x91413))+~P1(f329(f329(f197(f31(x91411,x91412)),x91414),x91413)) % 166.45/166.23 [9238]P1(f329(f329(f239(a905),x92384),f329(f192(f906(x92382)),f180(x92382,x92383,x92381))))+P1(f329(f329(f240(a905),f749(x92381,x92382,x92383,x92384)),x92384))+~P1(f329(f329(f239(a905),x92384),f329(f192(f906(x92382)),x92381))) % 166.45/166.23 [9393]E(f180(x93931,x93932,x93933),f329(f329(f178(x93931),x93934),x93933))+~P1(f329(x93932,f329(f329(f167(x93931),x93933),f748(x93932,x93933,x93931,x93934))))+P1(f329(f329(f240(a905),x93934),f329(f192(f906(x93931)),x93933))) % 166.45/166.23 [9400]E(f180(x94001,x94002,x94003),f329(f329(f178(x94001),x94004),x94003))+~P1(f329(x94002,f329(f329(f167(x94001),x94003),f748(x94002,x94003,x94001,x94004))))+P1(f329(x94002,f329(f329(f167(x94001),x94003),x94004))) % 166.45/166.23 [9404]~P1(f329(f63(x94041),x94043))+~P1(f329(f63(x94042),f329(x94044,f547(x94044,x94042,x94043,x94041))))+P1(f329(f63(f912(x94041,x94042)),f329(f329(f259(x94041,x94042),x94043),x94044))) % 166.45/166.23 [9412]~P127(x94121)+~P1(f329(f329(f239(x94121),f2(x94121)),f329(x94123,f672(x94123,x94124,x94122,x94121))))+P1(f329(f329(f239(x94121),f2(x94121)),f329(f329(f9(x94122,x94121),x94123),x94124))) % 166.45/166.23 [9413]~P127(x94131)+~P1(f329(f329(f240(x94131),f2(x94131)),f329(x94133,f671(x94133,x94134,x94132,x94131))))+P1(f329(f329(f240(x94131),f2(x94131)),f329(f329(f9(x94132,x94131),x94133),x94134))) % 166.45/166.23 [9421]~E(f329(f192(f906(x94214)),x94212),f329(f192(f906(x94214)),x94213))+P1(f329(f329(f331(f912(f906(x94214),f906(x94214))),f329(f329(f257(f906(x94214),f906(x94214)),x94213),x94212)),f161(x94214,x94211)))+P1(f329(f329(f240(a905),f681(x94211,x94212,x94213,x94214)),f329(f192(f906(x94214)),x94213))) % 166.45/166.23 [9474]~P1(f329(x94743,f329(f329(f167(x94742),x94744),f749(x94744,x94742,x94743,x94741))))+P1(f329(f329(f239(a905),x94741),f329(f192(f906(x94742)),f180(x94742,x94743,x94744))))+~P1(f329(f329(f239(a905),x94741),f329(f192(f906(x94742)),x94744))) % 166.45/166.23 [9553]E(f329(f329(f178(x95531),f686(x95532,x95533,x95534,x95531)),x95533),f329(f329(f178(x95531),f686(x95532,x95533,x95534,x95531)),x95534))+~P1(f329(f329(f331(f912(f906(x95531),f906(x95531))),f329(f329(f257(f906(x95531),f906(x95531)),x95534),x95533)),f150(x95531,x95532)))+P1(f329(f329(f240(a905),f329(f192(f906(x95531)),x95534)),f329(f192(f906(x95531)),x95533))) % 166.45/166.23 [9610]~P1(f329(f329(f240(a905),f2(a905)),x96103))+~P1(f329(f329(f240(a905),x96104),x96101))+P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),x96101),f47(a905,x96102,x96103))),x96104)),f329(f329(f83(a905),x96101),x96103))) % 166.45/166.23 [9803]~P113(x98032)+~P1(f329(f329(f239(x98032),f329(x98033,f888(x98034,x98033,x98031,x98032))),f329(x98034,f888(x98034,x98033,x98031,x98032))))+P1(f329(f329(f239(f913(x98031,x98032)),x98033),x98034)) % 166.45/166.23 [9906]~P68(x99061)+E(f329(f329(f6(a905,x99061),f329(f329(f18(a905,x99061,x99061),f329(f329(f8(x99061,f913(x99061,x99061),a905),f23(x99061)),x99062)),f329(f329(f8(a905,x99061,a905),x99062),f329(f329(f7(a905,a905,a905),f82(a905)),f80(a905))))),f305(a905,x99063,x99064)),f329(f329(f23(x99061),f329(x99062,x99063)),f329(x99062,f329(f329(f82(a905),x99064),f80(a905)))))+~P1(f329(f329(f239(a905),x99063),x99064)) % 166.45/166.23 [6927]E(f329(f329(f137(x69271),x69272),x69273),x69274)+~E(x69273,f329(f329(f141(x69271),f329(f192(f906(x69271)),x69272)),x69274))+~E(f329(f329(f178(x69271),f329(f192(f906(x69271)),x69272)),x69274),x69272) % 166.45/166.23 [6980]~P71(x69802)+E(x69801,f2(x69802))+E(f329(f329(f292(x69802),f329(f329(f249(x69802),x69803),x69804)),f329(f329(f249(x69802),x69801),x69804)),f329(f329(f249(x69802),f329(f329(f292(x69802),x69803),x69801)),x69804)) % 166.45/166.23 [7129]~P107(x71291)+~P1(f329(f329(f239(x71291),x71293),x71294))+P1(f329(f329(f239(x71291),f329(f329(f106(x71291),x71292),x71293)),x71294)) % 166.45/166.23 [7130]~P107(x71301)+~P1(f329(f329(f239(x71301),x71302),x71304))+P1(f329(f329(f239(x71301),f329(f329(f106(x71301),x71302),x71303)),x71304)) % 166.45/166.23 [7132]~P105(x71321)+~P1(f329(f329(f239(x71321),x71323),x71324))+P1(f329(f329(f239(x71321),f329(f329(f237(x71321),x71322),x71323)),x71324)) % 166.45/166.23 [7134]~P105(x71341)+~P1(f329(f329(f239(x71341),x71342),x71344))+P1(f329(f329(f239(x71341),f329(f329(f237(x71341),x71342),x71343)),x71344)) % 166.45/166.23 [7135]~P107(x71351)+~P1(f329(f329(f240(x71351),x71353),x71354))+P1(f329(f329(f240(x71351),f329(f329(f106(x71351),x71352),x71353)),x71354)) % 166.45/166.23 [7136]~P107(x71361)+~P1(f329(f329(f240(x71361),x71362),x71364))+P1(f329(f329(f240(x71361),f329(f329(f106(x71361),x71362),x71363)),x71364)) % 166.45/166.23 [7138]~P105(x71381)+~P1(f329(f329(f240(x71381),x71383),x71384))+P1(f329(f329(f240(x71381),f329(f329(f237(x71381),x71382),x71383)),x71384)) % 166.45/166.23 [7140]~P105(x71401)+~P1(f329(f329(f240(x71401),x71402),x71404))+P1(f329(f329(f240(x71401),f329(f329(f237(x71401),x71402),x71403)),x71404)) % 166.45/166.23 [7163]~P1(f329(x71633,x71634))+~P1(f329(x71632,x71634))+P1(f329(f329(f329(f106(f913(x71631,a900)),x71632),x71633),x71634)) % 166.45/166.23 [7286]P23(x72861,x72862,x72863)+~P23(x72861,x72862,x72864)+~P1(f329(f329(f239(f913(f904(x72861),a900)),x72863),x72864)) % 166.45/166.23 [7664]~P74(x76641)+E(f329(f329(f82(x76641),f329(x76642,x76643)),f329(f329(f6(a905,x76641),x76642),f329(f304(a905,f329(a117,x76643)),x76644))),f329(f329(f6(a905,x76641),x76642),f329(f304(a905,x76643),x76644)))+~P1(f329(f329(f240(a905),x76643),x76644)) % 166.45/166.23 [7682]E(x76821,x76822)+P1(f329(f329(f175(x76823),x76824),x76822))+~P1(f329(f329(f175(x76823),f329(f329(f154(x76823),x76821),x76824)),x76822)) % 166.45/166.23 [7694]~P105(x76941)+P1(f329(f329(f239(x76941),x76942),x76943))+~P1(f329(f329(f239(x76941),f329(f329(f238(x76941),x76944),x76942)),x76943)) % 166.45/166.23 [7696]~P105(x76961)+P1(f329(f329(f239(x76961),x76962),x76963))+~P1(f329(f329(f239(x76961),f329(f329(f238(x76961),x76962),x76964)),x76963)) % 166.45/166.23 [7698]~P106(x76981)+P1(f329(f329(f239(x76981),x76982),x76983))+~P1(f329(f329(f239(x76981),f329(f329(f115(x76981),x76984),x76982)),x76983)) % 166.45/166.23 [7700]~P106(x77001)+P1(f329(f329(f239(x77001),x77002),x77003))+~P1(f329(f329(f239(x77001),f329(f329(f115(x77001),x77002),x77004)),x77003)) % 166.45/166.23 [7701]~P105(x77011)+P1(f329(f329(f240(x77011),x77012),x77013))+~P1(f329(f329(f240(x77011),f329(f329(f238(x77011),x77014),x77012)),x77013)) % 166.45/166.23 [7702]~P105(x77021)+P1(f329(f329(f240(x77021),x77022),x77023))+~P1(f329(f329(f240(x77021),f329(f329(f238(x77021),x77022),x77024)),x77023)) % 166.45/166.23 [7778]~P1(f329(f329(f331(x77781),x77782),x77784))+P1(f329(f329(f331(x77781),x77782),x77783))+P1(f329(f329(f331(x77781),x77782),f329(f329(f23(f913(x77781,a900)),x77784),x77783))) % 166.45/166.23 [7863]P1(f329(x78631,x78632))+P1(f329(x78633,x78632))+~P1(f329(f329(f329(f115(f913(x78634,a900)),x78633),x78631),x78632)) % 166.45/166.23 [7874]~P1(f329(f329(f331(x78741),x78742),x78744))+~P1(f329(f329(f331(x78741),x78742),x78743))+P1(f329(f329(f331(x78741),x78742),f329(f329(f106(f913(x78741,a900)),x78743),x78744))) % 166.45/166.23 [7929]~P106(x79291)+~P1(f329(f63(x79291),x79294))+E(f329(f329(f66(x79291,x79291,f115(x79291)),x79292),f329(f329(f311(x79291),x79293),x79294)),f329(f329(f115(x79291),x79293),f329(f329(f66(x79291,x79291,f115(x79291)),x79292),x79294))) % 166.45/166.23 [7930]~P107(x79301)+~P1(f329(f63(x79301),x79304))+E(f329(f329(f66(x79301,x79301,f106(x79301)),x79302),f329(f329(f311(x79301),x79303),x79304)),f329(f329(f106(x79301),x79303),f329(f329(f66(x79301,x79301,f106(x79301)),x79302),x79304))) % 166.45/166.23 [7931]~P105(x79311)+~P1(f329(f63(x79311),x79314))+E(f329(f329(f66(x79311,x79311,f237(x79311)),x79312),f329(f329(f311(x79311),x79313),x79314)),f329(f329(f237(x79311),x79313),f329(f329(f66(x79311,x79311,f237(x79311)),x79312),x79314))) % 166.45/166.23 [7932]~P105(x79321)+~P1(f329(f63(x79321),x79324))+E(f329(f329(f66(x79321,x79321,f238(x79321)),x79322),f329(f329(f311(x79321),x79323),x79324)),f329(f329(f238(x79321),x79323),f329(f329(f66(x79321,x79321,f238(x79321)),x79322),x79324))) % 166.45/166.23 [7933]~P116(x79331)+~P98(x79331)+E(f329(f329(f23(x79331),f329(f329(f83(x79331),f329(f108(x79331),x79332)),x79333)),f329(f329(f83(x79331),f329(f108(x79331),x79332)),x79334)),f329(f329(f83(x79331),f329(f108(x79331),x79332)),f329(f329(f23(x79331),x79333),x79334))) % 166.45/166.23 [7934]~P145(x79341)+~P98(x79341)+E(f329(f329(f82(x79341),f329(f329(f83(x79341),f329(f108(x79341),x79342)),x79343)),f329(f329(f83(x79341),f329(f108(x79341),x79342)),x79344)),f329(f329(f83(x79341),f329(f108(x79341),x79342)),f329(f329(f82(x79341),x79343),x79344))) % 166.45/166.23 [8049]E(x80491,x80492)+P1(f329(f329(f331(x80493),x80491),f329(f175(x80493),x80494)))+~P1(f329(f329(f331(x80493),x80491),f329(f175(x80493),f329(f329(f154(x80493),x80492),x80494)))) % 166.45/166.23 [8234]P57(x82341,x82342,x82343)+~P57(x82341,x82342,x82344)+~P1(f329(f329(f239(f913(f912(x82341,x82342),a900)),x82343),x82344)) % 166.45/166.23 [8276]P1(f329(f329(f331(x82761),x82762),x82763))+P1(f329(f329(f331(x82761),x82762),x82764))+~P1(f329(f329(f331(x82761),x82762),f329(f329(f115(f913(x82761,a900)),x82764),x82763))) % 166.45/166.23 [8287]~P55(x82871,x82874,x82873)+~P1(f329(f329(f331(x82871),x82872),x82874))+P1(f329(f329(f331(f912(x82871,x82871)),f329(f329(f257(x82871,x82871),x82872),x82872)),x82873)) % 166.45/166.23 [8299]~P1(f329(f63(x82992),x82994))+~P1(f329(f63(x82991),x82993))+P1(f329(f63(f912(x82991,x82992)),f329(f329(f259(x82991,x82992),x82993),f329(f16(f913(x82992,a900),x82991),x82994)))) % 166.45/166.23 [8300]~P1(f329(f329(f331(x83001),x83002),x83004))+~P1(f329(f329(f239(f913(x83001,a900)),x83003),x83004))+P1(f329(f329(f239(f913(x83001,a900)),f329(f329(f311(x83001),x83002),x83003)),x83004)) % 166.45/166.23 [8307]~P80(x83072)+~P147(x83072)+E(f329(f329(f9(x83071,x83072),f329(f329(f8(a905,x83072,x83071),f105(x83072)),x83073)),x83074),f329(f105(x83072),f329(f329(f9(x83071,a905),x83073),x83074))) % 166.45/166.23 [8308]~P142(x83082)+~P80(x83082)+E(f329(f329(f9(x83081,x83082),f329(f329(f8(a1,x83082,x83081),f107(x83082)),x83083)),x83084),f329(f107(x83082),f329(f329(f9(x83081,a1),x83083),x83084))) % 166.45/166.23 [8333]E(f329(f329(f23(f913(x83331,a900)),x83332),f329(f329(f23(f913(x83331,a900)),x83333),x83334)),x83334)+~P1(f329(f329(f239(f913(x83331,a900)),x83332),x83333))+~P1(f329(f329(f239(f913(x83331,a900)),x83334),x83332)) % 166.45/166.23 [8432]~P1(f329(f63(x84321),x84324))+E(f329(f329(f23(a905),f329(f329(f6(x84321,a905),x84322),x84323)),f329(f329(f6(x84321,a905),x84322),x84324)),f329(f329(f6(x84321,a905),x84322),f329(f329(f23(f913(x84321,a900)),x84323),x84324)))+~P1(f329(f329(f239(f913(x84321,a900)),x84324),x84323)) % 166.45/166.23 [8588]~P7(x85881,x85884,x85883)+~P1(f329(f329(f331(x85881),x85882),x85884))+P1(f329(f329(f331(x85881),x85882),f329(f288(x85881,x85881,x85883),f329(f329(f311(x85881),x85882),f191(f913(x85881,a900)))))) % 166.45/166.23 [8656]~P1(f329(f329(f239(f913(x86561,a900)),x86562),x86563))+~P1(f329(f329(f239(f913(x86561,a900)),x86562),x86564))+P1(f329(f329(f239(f913(x86561,a900)),x86562),f329(f329(f106(f913(x86561,a900)),x86563),x86564))) % 166.45/166.23 [8753]E(x87531,f191(f913(x87532,a900)))+P1(f329(f63(x87533),x87534))+~P1(f329(f63(f912(x87533,x87532)),f329(f329(f259(x87533,x87532),x87534),f329(f16(f913(x87532,a900),x87533),x87531)))) % 166.45/166.23 [8754]E(x87541,f191(f913(x87542,a900)))+P1(f329(f63(x87543),x87544))+~P1(f329(f63(f912(x87542,x87543)),f329(f329(f259(x87542,x87543),x87541),f329(f16(f913(x87543,a900),x87542),x87544)))) % 166.45/166.23 [8821]P1(f329(f329(f331(x88211),x88212),f318(x88211,x88213)))+~P1(f329(f329(f331(x88211),x88214),f318(x88211,x88213)))+~P1(f329(f329(f331(f912(x88211,x88211)),f329(f329(f257(x88211,x88211),x88212),x88214)),x88213)) % 166.45/166.23 [8872]~P37(x88721,x88724)+P1(f329(f329(f331(f912(x88721,x88721)),f329(f329(f257(x88721,x88721),x88723),x88722)),f309(x88721,x88724)))+P37(x88721,f329(f329(f311(f912(x88721,x88721)),f329(f329(f257(x88721,x88721),x88722),x88723)),x88724)) % 166.45/166.23 [8873]~P60(x88731,x88734)+P1(f329(f329(f331(f912(x88731,x88731)),f329(f329(f257(x88731,x88731),x88733),x88732)),f309(x88731,x88734)))+P60(x88731,f329(f329(f311(f912(x88731,x88731)),f329(f329(f257(x88731,x88731),x88732),x88733)),x88734)) % 166.45/166.23 [8953]~E(x89532,x89533)+~P1(f329(f329(f331(x89531),x89532),f329(f175(x89531),x89534)))+P1(f329(f329(f331(f912(x89531,x89531)),f329(f329(f257(x89531,x89531),x89532),x89533)),f329(f175(f912(x89531,x89531)),f329(f329(f184(x89531,x89531),x89534),x89534)))) % 166.45/166.23 [8978]~P40(f913(x89781,a900),f913(x89781,a900),x89783)+~P1(f329(f329(f331(x89781),x89782),f101(f913(x89781,a900),x89783)))+P1(f329(f329(f331(x89781),x89782),f329(x89783,f329(f329(f115(f913(x89781,a900)),x89784),f101(f913(x89781,a900),x89783))))) % 166.45/166.23 [9044]~E(x90443,x90444)+P1(f329(f329(f262(x90441,x90441,a900),a326),x90442))+~P1(f329(f329(f331(f912(x90441,x90441)),x90442),f329(f175(f912(x90441,x90441)),f329(f329(f184(x90441,x90441),x90443),x90444)))) % 166.45/166.23 [9089]P1(f329(f329(f331(f912(f906(x90891),f906(x90891))),f329(f329(f257(f906(x90891),f906(x90891)),x90892),x90893)),f150(x90891,x90894)))+~E(f329(f329(f178(x90891),f329(f192(f906(x90891)),x90892)),x90893),x90892)+~P1(f329(f329(f240(a905),f329(f192(f906(x90891)),x90892)),f329(f192(f906(x90891)),x90893))) % 166.45/166.23 [9092]~P54(x90921,x90924)+~P1(f329(f329(f331(f912(x90921,x90921)),f329(f329(f257(x90921,x90921),x90923),x90922)),x90924))+P1(f329(f329(f331(f912(x90921,x90921)),f329(f329(f257(x90921,x90921),x90922),x90923)),x90924)) % 166.45/166.23 [9187]~P1(f329(f63(x91871),x91874))+P1(f329(f329(f331(x91871),f422(x91872,x91873,x91874,x91871)),x91874))+P1(f329(f63(x91873),f329(f329(f41(x91871,f913(x91873,a900)),x91874),x91872))) % 166.45/166.23 [9188]~P1(f329(f63(x91881),x91884))+P1(f329(f329(f331(x91881),f466(x91882,x91883,x91884,x91881)),x91884))+P1(f329(f63(x91883),f329(f329(f41(x91881,f913(x91883,a900)),x91884),x91882))) % 166.45/166.23 [9281]P1(f329(f329(f331(f912(x92811,x92811)),x92812),f329(f329(f291(x92811,x92811,x92811),x92813),f309(x92811,x92813))))+~P1(f329(f329(f240(a905),f2(a905)),x92814))+~P1(f329(f329(f331(f912(x92811,x92811)),x92812),f329(f329(f186(f912(x92811,x92811),a900),x92814),x92813))) % 166.45/166.23 [9289]~P37(x92891,x92892)+~P1(f329(f329(f331(f912(x92891,x92891)),f329(f329(f257(x92891,x92891),x92894),x92893)),x92892))+~P1(f329(f329(f331(f912(x92891,x92891)),f329(f329(f257(x92891,x92891),x92893),x92894)),x92892)) % 166.45/166.23 [9411]~P1(f329(f63(x94111),x94114))+E(f329(f329(f6(x94111,a905),f329(f329(f8(f913(x94112,a900),a905,x94111),f37(x94112)),x94113)),x94114),f329(f37(f912(x94111,x94112)),f329(f329(f259(x94111,x94112),x94114),x94113)))+P1(f329(f329(f331(x94111),f548(x94113,x94112,x94114,x94111)),x94114)) % 166.45/166.23 [9415]~P1(f329(f140(x94151),x94152))+P1(f329(f140(x94151),f329(f329(f162(x94151,x94152),x94153),x94154)))+P1(f329(f329(f331(x94151),x94154),f329(f329(f23(f913(x94151,a900)),f329(f175(x94151),x94152)),f329(f329(f311(x94151),f329(f329(f167(x94151),x94152),x94153)),f191(f913(x94151,a900)))))) % 166.45/166.23 [9433]~P1(f329(f63(x94332),x94333))+~P1(f329(f63(x94331),f329(x94334,f422(x94334,x94331,x94333,x94332))))+P1(f329(f63(x94331),f329(f329(f41(x94332,f913(x94331,a900)),x94333),x94334))) % 166.45/166.23 [9434]~P1(f329(f63(x94342),x94343))+~P1(f329(f63(x94341),f329(x94344,f466(x94344,x94341,x94343,x94342))))+P1(f329(f63(x94341),f329(f329(f41(x94342,f913(x94341,a900)),x94343),x94344))) % 166.45/166.23 [9511]~P1(f329(f329(f331(f912(x95111,x95111)),x95112),f329(f329(f291(x95111,x95111,x95111),x95114),f309(x95111,x95114))))+P1(f329(f329(f331(f912(x95111,x95111)),x95112),f329(f329(f291(x95111,x95111,x95111),x95113),f309(x95111,x95113))))+~P1(f329(f329(f239(f913(f912(x95111,x95111),a900)),x95114),x95113)) % 166.45/166.23 [9518]E(f329(f329(f178(x95181),f686(x95184,x95183,x95182,x95181)),x95183),f329(f329(f178(x95181),f686(x95184,x95183,x95182,x95181)),x95182))+~P1(f329(f329(f331(f912(f906(x95181),f906(x95181))),f329(f329(f257(f906(x95181),f906(x95181)),x95182),x95183)),f150(x95181,x95184)))+E(f329(f329(f178(x95181),f329(f192(f906(x95181)),x95182)),x95183),x95182) % 166.45/166.23 [9535]~P1(f329(f63(x95351),x95354))+E(f329(f329(f6(x95351,a905),f329(f329(f8(f913(x95352,a900),a905,x95351),f37(x95352)),x95353)),x95354),f329(f37(f912(x95351,x95352)),f329(f329(f259(x95351,x95352),x95354),x95353)))+~P1(f329(f63(x95352),f329(x95353,f548(x95353,x95352,x95354,x95351)))) % 166.45/166.23 [9540]~E(f329(f192(f906(x95401)),x95403),f329(f192(f906(x95401)),x95402))+P1(f329(f329(f331(f912(f906(x95401),f906(x95401))),f329(f329(f257(f906(x95401),f906(x95401)),x95402),x95403)),f161(x95401,x95404)))+P1(f329(f329(f331(f912(x95401,x95401)),f690(x95404,x95403,x95402,x95401)),f329(f175(f912(x95401,x95401)),f329(f329(f184(x95401,x95401),x95402),x95403)))) % 166.45/166.23 [9622]~P1(f329(f329(f331(f912(f906(x96221),f906(x96221))),f329(f329(f257(f906(x96221),f906(x96221)),x96222),x96223)),f150(x96221,x96224)))+E(f329(f329(f178(x96221),f329(f192(f906(x96221)),x96222)),x96223),x96222)+P1(f329(f329(f240(a905),f686(x96224,x96223,x96222,x96221)),f329(f329(f237(a905),f329(f192(f906(x96221)),x96222)),f329(f192(f906(x96221)),x96223)))) % 166.45/166.23 [9645]~P1(f329(f329(f331(f912(f906(x96451),f906(x96451))),f329(f329(f257(f906(x96451),f906(x96451)),x96452),x96453)),f150(x96451,x96454)))+P1(f329(f329(f240(a905),f329(f192(f906(x96451)),x96452)),f329(f192(f906(x96451)),x96453)))+P1(f329(f329(f240(a905),f686(x96454,x96453,x96452,x96451)),f329(f329(f237(a905),f329(f192(f906(x96451)),x96452)),f329(f192(f906(x96451)),x96453)))) % 166.45/166.23 [10048]~P1(f329(f329(f331(f912(f906(x100481),f906(x100481))),f329(f329(f257(f906(x100481),f906(x100481)),x100482),x100483)),f150(x100481,x100484)))+E(f329(f329(f178(x100481),f329(f192(f906(x100481)),x100482)),x100483),x100482)+P1(f329(f329(f331(f912(x100481,x100481)),f329(f329(f257(x100481,x100481),f329(f329(f167(x100481),x100482),f686(x100484,x100483,x100482,x100481))),f329(f329(f167(x100481),x100483),f686(x100484,x100483,x100482,x100481)))),x100484)) % 166.45/166.23 [10049]~P1(f329(f329(f331(f912(f906(x100491),f906(x100491))),f329(f329(f257(f906(x100491),f906(x100491)),x100492),x100493)),f150(x100491,x100494)))+P1(f329(f329(f240(a905),f329(f192(f906(x100491)),x100492)),f329(f192(f906(x100491)),x100493)))+P1(f329(f329(f331(f912(x100491,x100491)),f329(f329(f257(x100491,x100491),f329(f329(f167(x100491),x100492),f686(x100494,x100493,x100492,x100491))),f329(f329(f167(x100491),x100493),f686(x100494,x100493,x100492,x100491)))),x100494)) % 166.45/166.23 [10105]~E(f329(f192(f906(x101051)),x101052),f329(f192(f906(x101051)),x101053))+P1(f329(f329(f331(f912(f906(x101051),f906(x101051))),f329(f329(f257(f906(x101051),f906(x101051)),x101052),x101053)),f161(x101051,x101054)))+~P1(f329(f329(f331(f912(x101051,x101051)),f329(f329(f257(x101051,x101051),f329(f329(f167(x101051),x101052),f681(x101054,x101053,x101052,x101051))),f329(f329(f167(x101051),x101053),f681(x101054,x101053,x101052,x101051)))),x101054)) % 166.45/166.23 [10251]~P74(x102511)+~P1(f329(f63(x102512),x102514))+E(f329(f168(x102511),f329(f329(f157(x102512,x102511),x102513),f92(f906(x102512),f329(f329(f18(f906(x102512),a900,a900),f329(f329(f8(a900,f913(a900,a900),f906(x102512)),a327),f329(f329(f7(f906(x102512),f913(x102512,a900),a900),f329(f329(f8(f913(x102512,a900),f913(f913(x102512,a900),a900),f906(x102512)),a326),f175(x102512))),x102514))),f140(x102512))))),f235(x102512,x102511,x102513,x102514)) % 166.45/166.23 [7508]~P70(x75082)+E(x75081,f2(x75082))+E(f329(f329(f292(x75082),f329(f329(f82(x75082),x75083),f329(f329(f83(x75082),x75084),x75081))),x75081),f329(f329(f82(x75082),x75084),f329(f329(f292(x75082),x75083),x75081))) % 166.45/166.23 [7509]~P63(x75092)+E(x75091,f2(x75092))+E(f329(f329(f38(x75092),f329(f329(f82(x75092),x75093),f329(f329(f83(x75092),x75094),x75091))),x75091),f329(f329(f82(x75092),x75094),f329(f329(f38(x75092),x75093),x75091))) % 166.45/166.23 [7510]~P63(x75102)+E(x75101,f2(x75102))+E(f329(f329(f38(x75102),f329(f329(f82(x75102),x75103),f329(f329(f83(x75102),x75101),x75104))),x75101),f329(f329(f82(x75102),x75104),f329(f329(f38(x75102),x75103),x75101))) % 166.45/166.23 [7742]~P71(x77422)+E(x77421,f2(x77422))+E(f329(f329(f292(x77422),f329(f329(f23(x77422),x77423),f329(f329(f83(x77422),x77421),x77424))),x77421),f329(f329(f23(x77422),f329(f329(f292(x77422),x77423),x77421)),x77424)) % 166.45/166.23 [7743]~P70(x77432)+E(x77431,f2(x77432))+E(f329(f329(f292(x77432),f329(f329(f82(x77432),x77433),f329(f329(f83(x77432),x77434),x77431))),x77431),f329(f329(f82(x77432),f329(f329(f292(x77432),x77433),x77431)),x77434)) % 166.45/166.23 [7744]~P71(x77442)+E(x77441,f2(x77442))+E(f329(f329(f292(x77442),f329(f329(f82(x77442),x77443),f329(f329(f83(x77442),x77441),x77444))),x77441),f329(f329(f82(x77442),f329(f329(f292(x77442),x77443),x77441)),x77444)) % 166.45/166.23 [8461]~P1(f329(f163(x84611,x84613),x84614))+~P1(f329(f163(x84611,x84612),x84614))+P1(f329(f163(x84611,f329(f329(f106(f913(x84611,a900)),x84612),x84613)),x84614)) % 166.45/166.23 [8835]~E(f329(f329(f291(x88351,x88351,x88351),x88352),x88354),f191(f913(f912(x88351,x88351),a900)))+~E(f329(f329(f291(x88351,x88351,x88351),x88352),x88353),f191(f913(f912(x88351,x88351),a900)))+E(f329(f329(f291(x88351,x88351,x88351),x88352),f329(f329(f115(f913(f912(x88351,x88351),a900)),x88353),x88354)),f191(f913(f912(x88351,x88351),a900))) % 166.45/166.23 [8954]~P1(f329(f329(f239(f913(x89541,a900)),x89543),x89544))+~P1(f329(f329(f239(f913(x89541,a900)),x89542),x89544))+P1(f329(f329(f239(f913(x89541,a900)),f329(f329(f115(f913(x89541,a900)),x89542),x89543)),x89544)) % 166.45/166.23 [9342]~P1(f329(f63(x93421),x93424))+~P1(f329(f63(x93421),x93423))+E(f329(f329(f23(a905),f329(f329(f82(a905),f329(f329(f6(x93421,a905),x93422),x93423)),f329(f329(f6(x93421,a905),x93422),x93424))),f329(f329(f6(x93421,a905),x93422),f329(f329(f106(f913(x93421,a900)),x93423),x93424))),f329(f329(f6(x93421,a905),x93422),f329(f329(f115(f913(x93421,a900)),x93423),x93424))) % 166.45/166.23 [9429]~P1(f329(f329(f331(x94291),x94293),x94292))+~P1(f329(f329(f239(f913(x94291,a900)),x94292),f329(f329(f311(x94291),x94293),x94294)))+P1(f329(f329(f239(f913(x94291,a900)),f329(f329(f23(f913(x94291,a900)),x94292),f329(f329(f311(x94291),x94293),f191(f913(x94291,a900))))),x94294)) % 166.45/166.23 [9597]~P1(f329(f329(f331(x95971),x95973),x95972))+P1(f329(f329(f239(f913(x95971,a900)),x95972),f329(f329(f311(x95971),x95973),x95974)))+~P1(f329(f329(f239(f913(x95971,a900)),f329(f329(f23(f913(x95971,a900)),x95972),f329(f329(f311(x95971),x95973),f191(f913(x95971,a900))))),x95974)) % 166.45/166.23 [9685]~P1(f329(f329(f239(a905),x96851),x96853))+~P1(f329(f329(f240(a905),x96852),x96854))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x96851),x96852)),f329(f329(f257(a905,a905),x96853),x96854))),a34)) % 166.45/166.23 [9686]~P1(f329(f329(f239(a905),x96862),x96864))+~P1(f329(f329(f239(a905),x96861),x96863))+P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),f329(f329(f257(a905,a905),x96861),x96862)),f329(f329(f257(a905,a905),x96863),x96864))),a72)) % 166.45/166.23 [9979]~P1(f329(f329(f331(f906(x99791)),x99794),f164(x99791,x99793)))+~P1(f329(f329(f331(f906(x99791)),x99794),f164(x99791,x99792)))+P1(f329(f163(x99791,f329(f329(f106(f913(x99791,a900)),f329(f329(f7(x99791,f913(x99791,a900),a900),f331(x99791)),x99792)),f329(f329(f7(x99791,f913(x99791,a900),a900),f331(x99791)),x99793))),x99794)) % 166.45/166.23 [10071]~P24(x100711,f913(f913(x100711,a900),a900),f329(f329(f7(x100711,f913(f912(x100711,x100711),a900),f913(f913(x100711,a900),a900)),f329(f329(f8(f913(x100711,a900),f913(f913(f912(x100711,x100711),a900),f913(f913(x100711,a900),a900)),x100711),f62(x100711)),f329(f329(f7(x100711,f913(x100711,a900),f913(x100711,a900)),f311(x100711)),f191(f913(x100711,a900))))),x100713),x100712)+~P1(f329(f329(f331(x100711),x100714),x100712))+E(f329(f329(f23(f913(f913(x100711,a900),a900)),f329(f329(f62(x100711),x100712),x100713)),f329(f329(f62(x100711),f329(f329(f311(x100711),x100714),f191(f913(x100711,a900)))),x100713)),f329(f329(f62(x100711),f329(f329(f23(f913(x100711,a900)),x100712),f329(f329(f311(x100711),x100714),f191(f913(x100711,a900))))),x100713)) % 166.45/166.23 [10205]~P55(x102051,x102052,x102054)+~P1(f329(f329(f331(f912(x102051,x102051)),x102053),x102054))+P1(f329(f329(f262(x102051,x102051,a900),f329(f329(f7(x102051,f913(x102051,a900),f913(x102051,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x102051,a900),f913(x102051,a900)),x102051),f8(a900,a900,x102051)),f329(f329(f8(a900,f913(a900,a900),x102051),a327),f329(f329(f7(x102051,f913(x102051,a900),a900),f331(x102051)),x102052)))),f329(f329(f7(x102051,f913(x102051,a900),a900),f331(x102051)),x102052))),x102053)) % 166.45/166.23 [10220]P1(f329(f63(x102201),x102202))+~P1(f329(f63(x102203),f329(f312(x102201,x102203,x102204),x102202)))+~P1(f329(f63(x102201),f329(f267(x102201),f329(f329(f18(x102201,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102201),a327),f329(f329(f7(x102201,f913(x102201,a900),a900),f331(x102201)),x102202))),f329(f329(f7(x102201,x102203,a900),f329(f329(f8(x102203,f913(x102203,a900),x102201),a326),x102204)),f329(x102204,f423(x102204,x102203,x102202,x102201))))))) % 166.45/166.23 [8215]~P71(x82152)+E(x82151,f2(x82152))+E(f329(f329(f292(x82152),f329(f329(f23(x82152),f329(f329(f83(x82152),x82151),x82153)),x82154)),x82151),f329(f329(f23(x82152),x82153),f329(f329(f292(x82152),x82154),x82151))) % 166.45/166.23 [8216]~P71(x82162)+E(x82161,f2(x82162))+E(f329(f329(f292(x82162),f329(f329(f82(x82162),f329(f329(f83(x82162),x82161),x82163)),x82164)),x82161),f329(f329(f82(x82162),x82163),f329(f329(f292(x82162),x82164),x82161))) % 166.45/166.23 [9119]~E(f329(f329(f291(x91191,x91191,x91191),x91193),x91194),f191(f913(f912(x91191,x91191),a900)))+~E(f329(f329(f291(x91191,x91191,x91191),x91192),x91194),f191(f913(f912(x91191,x91191),a900)))+E(f329(f329(f291(x91191,x91191,x91191),f329(f329(f115(f913(f912(x91191,x91191),a900)),x91192),x91193)),x91194),f191(f913(f912(x91191,x91191),a900))) % 166.45/166.23 [9896]~P1(f329(f163(x98961,x98963),x98964))+~P1(f329(f163(x98961,x98962),x98964))+P1(f329(f163(x98961,f329(f329(f18(x98961,a900,a900),f329(f329(f8(a900,f913(a900,a900),x98961),a327),x98962)),x98963)),x98964)) % 166.45/166.23 [10140]P1(f329(x101401,f419(x101402,x101403,x101401,x101404)))+~P1(f329(f63(x101404),f329(f267(x101404),x101401)))+P1(f329(f63(x101403),f329(f267(x101403),f329(f329(f8(f913(x101404,a900),a900,x101403),f89(x101404)),f329(f329(f8(f913(x101404,a900),f913(x101404,a900),x101403),f329(f18(x101404,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101404),a327),x101401))),x101402))))) % 166.45/166.23 [10158]~P1(f329(f63(x101582),f329(f267(x101582),x101583)))+~P1(f329(f63(x101581),f329(f267(x101581),f329(f329(f7(x101581,x101582,a900),x101584),f419(x101584,x101581,x101583,x101582)))))+P1(f329(f63(x101581),f329(f267(x101581),f329(f329(f8(f913(x101582,a900),a900,x101581),f89(x101582)),f329(f329(f8(f913(x101582,a900),f913(x101582,a900),x101581),f329(f18(x101582,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101582),a327),x101583))),x101584))))) % 166.45/166.23 [10231]~P1(f329(f63(x102311),x102314))+P1(f329(f329(f331(x102311),f818(x102312,x102313,x102314,x102311)),x102314))+P1(f329(f63(x102313),f329(f267(x102313),f329(f329(f8(f913(x102311,a900),a900,x102313),f89(x102311)),f329(f329(f8(f913(x102311,a900),f913(x102311,a900),x102313),f329(f18(x102311,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102311),a327),f329(f329(f7(x102311,f913(x102311,a900),a900),f331(x102311)),x102314)))),x102312))))) % 166.45/166.23 [10237]~P1(f329(f63(x102372),x102373))+~P1(f329(f63(x102371),f329(f267(x102371),f329(f329(f7(x102371,x102372,a900),x102374),f818(x102374,x102371,x102373,x102372)))))+P1(f329(f63(x102371),f329(f267(x102371),f329(f329(f8(f913(x102372,a900),a900,x102371),f89(x102372)),f329(f329(f8(f913(x102372,a900),f913(x102372,a900),x102371),f329(f18(x102372,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102372),a327),f329(f329(f7(x102372,f913(x102372,a900),a900),f331(x102372)),x102373)))),x102374))))) % 166.45/166.23 [5129]~E(x51292,x51294)+E(f172(x51291,x51292,x51293),f172(x51291,x51294,x51295))+~E(x51292,f2(a905)) % 166.45/166.23 [5387]E(x53871,x53872)+~E(f172(x53874,x53873,x53871),f172(x53874,x53875,x53872))+E(x53873,f2(a905)) % 166.45/166.23 [5936]~E(x59365,x59362)+P42(f31(x59361,x59363),x59362,x59364,x59365)+P1(f329(x59361,x59362)) % 166.45/166.23 [6500]E(x65001,x65002)+~P42(f31(x65003,x65004),x65001,x65005,x65002)+P1(f329(x65003,x65001)) % 166.45/166.23 [8008]~P42(x80082,x80083,x80084,x80085)+~P42(f31(x80081,x80082),x80085,x80084,x80083)+P42(f31(x80081,x80082),x80083,x80084,x80083) % 166.45/166.23 [9248]E(x92481,x92482)+~P42(f31(x92485,x92483),x92481,x92484,x92482)+P42(x92483,x92481,x92484,f523(x92482,x92484,x92481,x92483,x92485)) % 166.45/166.23 [9250]E(x92501,x92502)+P42(f31(x92503,x92504),f523(x92501,x92505,x92502,x92504,x92503),x92505,x92501)+~P42(f31(x92503,x92504),x92502,x92505,x92501) % 166.45/166.23 [9254]~P42(f31(x92545,x92541),x92542,x92543,x92544)+P42(x92541,x92542,x92543,f523(x92544,x92543,x92542,x92541,x92545))+~P1(f329(x92545,x92542)) % 166.45/166.23 [9261]~P42(f31(x92611,x92612),x92615,x92614,x92613)+P42(f31(x92611,x92612),f523(x92613,x92614,x92615,x92612,x92611),x92614,x92613)+~P1(f329(x92611,x92615)) % 166.45/166.23 [6645]E(x66451,x66452)+~E(f329(x66453,x66451),f329(x66453,x66452))+~P24(x66454,x66455,x66453,f247(f913(x66454,a900))) % 166.45/166.23 [7546]E(x75461,x75462)+~P24(x75463,x75464,x75465,f247(f913(x75463,a900)))+~E(f329(f312(x75463,x75464,x75465),x75461),f329(f312(x75463,x75464,x75465),x75462)) % 166.45/166.23 [7796]P24(x77962,x77963,f736(x77964,x77963,x77962,x77961),x77961)+~E(f329(f312(x77963,x77962,x77965),x77964),x77961)+E(x77961,f191(f913(x77962,a900))) % 166.45/166.23 [8344]~P1(f329(f329(x83443,x83442),x83445))+~P1(f329(f329(x83443,x83444),x83442))+P1(f329(f329(f331(x83441),x83442),f301(x83441,x83443,x83444,x83445))) % 166.45/166.23 [8345]~P1(f329(f329(x83453,x83452),x83455))+~P1(f329(f329(x83453,x83454),x83452))+P1(f329(f329(f331(x83451),x83452),f298(x83451,x83453,x83454,x83455))) % 166.45/166.23 [8913]~P24(x89131,x89133,x89135,f247(f913(x89131,a900)))+~P24(x89133,x89132,x89134,f247(f913(x89133,a900)))+P24(x89131,x89132,f329(f74(x89133,x89132,x89131,x89134),x89135),f247(f913(x89131,a900))) % 166.45/166.23 [9488]P1(f329(f329(f331(f912(x94881,x94881)),f329(f329(f257(x94881,x94881),x94882),x94883)),f309(x94881,x94884)))+~P1(f329(f329(f331(f912(x94881,x94881)),f329(f329(f257(x94881,x94881),x94882),x94885)),f309(x94881,x94884)))+~P1(f329(f329(f331(f912(x94881,x94881)),f329(f329(f257(x94881,x94881),x94885),x94883)),f309(x94881,x94884))) % 166.45/166.23 [9525]~P105(x95252)+~P1(f329(f140(x95251),x95255))+P1(f329(f140(x95251),f152(x95251,x95252,x95253,x95254,x95255))) % 166.45/166.23 [5461]~E(x54612,f118(x54611))+E(f329(f329(f137(x54611),x54612),x54613),f329(f329(f154(x54611),x54614),x54615))+~E(x54613,f329(f329(f154(x54611),x54614),x54615)) % 166.45/166.23 [5462]~E(x54622,f118(x54621))+E(f329(f329(f137(x54621),x54622),x54623),f329(f329(f154(x54621),x54624),x54625))+~E(f329(f329(f154(x54621),x54624),x54625),x54623) % 166.45/166.23 [6602]~E(f329(f192(f906(x66021)),x66025),f329(f192(f906(x66022)),x66024))+E(f329(f329(f157(f912(x66021,x66022),x66022),f261(x66021,x66022)),x66023),x66024)+~E(f329(f329(f184(x66021,x66022),x66025),x66024),x66023) % 166.45/166.23 [6603]~E(f329(f192(f906(x66031)),x66034),f329(f192(f906(x66032)),x66035))+E(f329(f329(f157(f912(x66031,x66032),x66031),f256(x66031,x66032)),x66033),x66034)+~E(f329(f329(f184(x66031,x66032),x66034),x66035),x66033) % 166.45/166.23 [7076]~P105(x70761)+~P12(x70761,f329(f329(f157(x70762,x70761),x70763),x70765))+P12(x70761,f329(f329(f157(x70762,x70761),x70763),f329(f139(x70762,x70764),x70765))) % 166.45/166.23 [7118]~P1(f329(x71183,x71185))+~P1(f329(f329(x71182,x71184),x71185))+P1(f329(f329(f95(x71181,x71182,x71183),x71184),x71185)) % 166.45/166.23 [7215]~P105(x72151)+P12(x72151,f329(f329(f157(x72152,x72151),x72153),f173(x72152,x72154,x72155)))+~P12(x72151,f329(f329(f157(x72152,x72151),x72153),x72155)) % 166.45/166.23 [7238]~P57(x72383,x72382,x72385)+~P57(x72381,x72383,x72384)+P57(x72381,x72382,f329(f329(f291(x72381,x72383,x72382),x72384),x72385)) % 166.45/166.23 [7332]E(x73321,x73322)+~P24(x73323,x73324,x73325,f247(f913(x73323,a900)))+~E(f329(f329(f157(x73323,x73324),x73325),x73321),f329(f329(f157(x73323,x73324),x73325),x73322)) % 166.45/166.23 [7413]P42(x74131,x74132,x74133,x74134)+~P42(x74131,x74132,x74135,x74134)+~P1(f329(f329(f239(a905),x74135),x74133)) % 166.45/166.23 [7494]~P1(f329(f329(f239(a905),x74941),f329(x74943,x74945)))+P1(f329(f329(f239(a905),x74941),f158(x74942,x74943,x74944)))+~P1(f329(f329(f331(x74942),x74945),f329(f175(x74942),x74944))) % 166.45/166.23 [7495]~P1(f329(f329(f240(a905),x74951),f329(x74953,x74955)))+P1(f329(f329(f240(a905),x74951),f158(x74952,x74953,x74954)))+~P1(f329(f329(f331(x74952),x74955),f329(f175(x74952),x74954))) % 166.45/166.23 [7895]P1(f329(x78951,x78952))+~P1(f329(x78951,x78953))+~P1(f329(f329(f331(x78954),x78952),f329(f175(x78954),f172(x78954,x78955,x78953)))) % 166.45/166.23 [7896]P1(f329(x78961,x78962))+~P1(f329(x78961,x78963))+~P1(f329(f329(f331(x78964),x78963),f329(f175(x78964),f172(x78964,x78965,x78962)))) % 166.45/166.23 [7900]~P112(x79001)+P1(f329(f329(f239(f913(x79001,a900)),f305(x79001,x79002,x79003)),f305(x79001,x79004,x79005)))+P1(f329(f329(f239(x79001),x79002),x79003)) % 166.45/166.23 [7927]~P4(x79271)+P1(f329(f329(f239(x79271),f329(f329(f42(x79272,x79271),x79273),x79274)),f329(x79274,x79275)))+~P1(f329(f329(f331(x79272),x79275),x79273)) % 166.45/166.23 [7995]~P24(x79951,x79952,x79954,x79953)+E(f329(f79(x79951,x79952,x79953,x79954),f329(x79954,x79955)),x79955)+~P1(f329(f329(f331(x79951),x79955),x79953)) % 166.45/166.23 [7996]~P24(x79961,x79962,x79964,x79963)+E(f329(f94(x79961,x79962,x79963,x79964),f329(x79964,x79965)),x79965)+~P1(f329(f329(f331(x79961),x79965),x79963)) % 166.45/166.23 [8204]~P1(f329(x82041,x82045))+P1(f329(x82041,f878(x82041,x82042,x82043,x82044)))+~P1(f329(f329(f331(x82044),x82045),x82043)) % 166.45/166.23 [8205]~P1(f329(x82051,x82055))+P1(f329(x82051,f878(x82051,x82052,x82053,x82054)))+~P1(f329(f329(f331(x82054),x82055),x82052)) % 166.45/166.23 [8297]P1(f329(f63(x82971),x82972))+~P1(f329(f63(x82973),x82974))+~P1(f329(f329(f239(f913(x82971,a900)),x82972),f329(f312(x82973,x82971,x82975),x82974))) % 166.45/166.23 [8465]E(x84651,x84652)+~P24(x84653,x84654,x84655,f329(f329(f115(f913(x84653,a900)),f329(f175(x84653),x84651)),f329(f175(x84653),x84652)))+~E(f329(f329(f157(x84653,x84654),x84655),x84651),f329(f329(f157(x84653,x84654),x84655),x84652)) % 166.45/166.23 [8518]~P112(x85181)+~P1(f329(f329(f240(f913(x85181,a900)),f305(x85181,x85184,x85185)),f305(x85181,x85182,x85183)))+P1(f329(f329(f239(x85181),x85182),x85183)) % 166.45/166.23 [8587]~P24(x85871,x85874,x85875,f247(f913(x85871,a900)))+~P1(f329(f329(f331(x85874),f329(x85875,x85872)),f329(f312(x85871,x85874,x85875),x85873)))+P1(f329(f329(f331(x85871),x85872),x85873)) % 166.45/166.23 [8669]P1(f329(x86691,x86692))+~P1(f329(x86691,f555(x86691,x86693,x86694,x86695)))+~P1(f329(f329(f331(x86695),x86692),x86694)) % 166.45/166.23 [8670]P1(f329(x86701,x86702))+~P1(f329(x86701,f555(x86701,x86703,x86704,x86705)))+~P1(f329(f329(f331(x86705),x86702),x86703)) % 166.45/166.23 [8951]~P24(x89512,x89513,x89511,x89514)+E(f329(x89511,f329(f79(x89512,x89513,x89514,x89511),x89515)),x89515)+~P1(f329(f329(f331(x89513),x89515),f329(f312(x89512,x89513,x89511),x89514))) % 166.45/166.23 [9059]E(x90591,f118(x90592))+E(f329(f329(f154(x90592),x90593),f702(x90594,x90593,x90595,x90591,x90592)),x90591)+~E(f329(f329(f137(x90592),x90591),x90595),f329(f329(f154(x90592),x90593),x90594)) % 166.45/166.23 [9060]E(x90601,f118(x90602))+E(f329(f329(f154(x90602),x90603),f703(x90604,x90601,x90605,x90603,x90602)),x90601)+~E(f329(f329(f137(x90602),x90601),x90604),f329(f329(f154(x90602),x90603),x90605)) % 166.45/166.23 [9078]E(f329(f329(f154(x90782),x90783),f702(x90784,x90783,x90781,x90785,x90782)),x90785)+~E(f329(f329(f137(x90782),x90785),x90781),f329(f329(f154(x90782),x90783),x90784))+E(x90781,f329(f329(f154(x90782),x90783),x90784)) % 166.45/166.23 [9079]E(f329(f329(f154(x90791),x90792),f703(x90794,x90795,x90793,x90792,x90791)),x90795)+~E(f329(f329(f137(x90791),x90795),x90794),f329(f329(f154(x90791),x90792),x90793))+E(f329(f329(f154(x90791),x90792),x90793),x90794) % 166.45/166.23 [9158]~E(f329(f312(x91583,x91582,x91584),f247(f913(x91583,a900))),f247(f913(x91582,a900)))+~E(f329(f312(x91581,x91583,x91585),f247(f913(x91581,a900))),f247(f913(x91583,a900)))+E(f329(f312(x91581,x91582,f329(f74(x91583,x91582,x91581,x91584),x91585)),f247(f913(x91581,a900))),f247(f913(x91582,a900))) % 166.45/166.23 [9532]E(x95321,f118(x95322))+~E(f329(f329(f137(x95322),x95321),x95323),f329(f329(f154(x95322),x95325),x95324))+E(f329(f329(f137(x95322),f703(x95323,x95321,x95324,x95325,x95322)),x95323),x95324) % 166.45/166.23 [9533]E(x95331,f118(x95332))+~E(f329(f329(f137(x95332),x95331),x95335),f329(f329(f154(x95332),x95334),x95333))+E(f329(f329(f137(x95332),f702(x95333,x95334,x95335,x95331,x95332)),x95335),x95333) % 166.45/166.23 [9541]E(f329(f329(f137(x95412),f702(x95414,x95413,x95411,x95415,x95412)),x95411),x95414)+~E(f329(f329(f137(x95412),x95415),x95411),f329(f329(f154(x95412),x95413),x95414))+E(x95411,f329(f329(f154(x95412),x95413),x95414)) % 166.45/166.23 [9542]~E(f329(f329(f137(x95421),x95425),x95424),f329(f329(f154(x95421),x95422),x95423))+E(f329(f329(f137(x95421),f703(x95424,x95425,x95423,x95422,x95421)),x95424),x95423)+E(f329(f329(f154(x95421),x95422),x95423),x95424) % 166.45/166.23 [9543]E(f329(f329(f137(x95431),x95435),f705(x95433,x95432,x95434,x95435,x95431)),x95432)+E(f329(f329(f137(x95431),x95432),f704(x95433,x95432,x95434,x95435,x95431)),x95435)+~E(f329(f329(f137(x95431),x95435),x95434),f329(f329(f137(x95431),x95432),x95433)) % 166.45/166.23 [9580]~P105(x95801)+P12(x95801,f329(f329(f157(x95802,x95801),x95803),f152(x95802,x95801,x95803,x95804,x95805)))+~P12(x95801,f329(f329(f157(x95802,x95801),x95803),x95805)) % 166.45/166.23 [9594]~P61(x95945,x95941,x95944,x95943)+P1(f329(f329(x95941,x95942),f530(x95943,x95944,x95941,x95945,x95942)))+~P1(f329(f329(f331(x95945),x95942),x95944)) % 166.45/166.23 [9595]~P61(x95955,x95951,x95954,x95953)+P1(f329(f329(x95951,x95952),f822(x95953,x95954,x95951,x95955,x95952)))+~P1(f329(f329(f331(x95955),x95952),x95954)) % 166.45/166.23 [9697]~P1(f329(f329(f331(f912(x96971,x96971)),f329(f329(f257(x96971,x96971),x96975),x96973)),f309(x96971,x96974)))+P1(f329(f329(f331(f912(x96971,x96971)),f329(f329(f257(x96971,x96971),x96972),x96973)),f329(f329(f291(x96971,x96971,x96971),x96974),f309(x96971,x96974))))+~P1(f329(f329(f331(f912(x96971,x96971)),f329(f329(f257(x96971,x96971),x96972),x96975)),f329(f329(f291(x96971,x96971,x96971),x96974),f309(x96971,x96974)))) % 166.45/166.23 [9698]~P1(f329(f329(f331(f912(x96981,x96981)),f329(f329(f257(x96981,x96981),x96982),x96985)),f309(x96981,x96984)))+P1(f329(f329(f331(f912(x96981,x96981)),f329(f329(f257(x96981,x96981),x96982),x96983)),f329(f329(f291(x96981,x96981,x96981),x96984),f309(x96981,x96984))))+~P1(f329(f329(f331(f912(x96981,x96981)),f329(f329(f257(x96981,x96981),x96985),x96983)),f329(f329(f291(x96981,x96981,x96981),x96984),f309(x96981,x96984)))) % 166.45/166.23 [9700]P1(f329(f329(f331(f912(f906(x97001),f906(x97001))),f329(f329(f257(f906(x97001),f906(x97001)),x97002),x97003)),f161(x97001,f309(x97001,x97004))))+~P1(f329(f329(f331(f912(f906(x97001),f906(x97001))),f329(f329(f257(f906(x97001),f906(x97001)),x97002),x97005)),f161(x97001,f309(x97001,x97004))))+~P1(f329(f329(f331(f912(f906(x97001),f906(x97001))),f329(f329(f257(f906(x97001),f906(x97001)),x97005),x97003)),f161(x97001,f309(x97001,x97004)))) % 166.45/166.23 [9704]E(f329(f329(f137(x97041),x97042),f704(x97043,x97042,x97044,x97045,x97041)),x97045)+E(f329(f329(f137(x97041),f705(x97043,x97042,x97044,x97045,x97041)),x97043),x97044)+~E(f329(f329(f137(x97041),x97042),x97043),f329(f329(f137(x97041),x97045),x97044)) % 166.45/166.23 [9705]E(f329(f329(f137(x97051),x97052),f705(x97053,x97054,x97055,x97052,x97051)),x97054)+E(f329(f329(f137(x97051),f704(x97053,x97054,x97055,x97052,x97051)),x97055),x97053)+~E(f329(f329(f137(x97051),x97052),x97055),f329(f329(f137(x97051),x97054),x97053)) % 166.45/166.23 [9761]P1(f329(f329(f331(f912(x97611,x97611)),f329(f329(f257(x97611,x97611),x97612),x97613)),f329(f329(f291(x97611,x97611,x97611),x97614),f309(x97611,x97614))))+~P1(f329(f329(f331(f912(x97611,x97611)),f329(f329(f257(x97611,x97611),x97612),x97615)),f329(f329(f291(x97611,x97611,x97611),x97614),f309(x97611,x97614))))+~P1(f329(f329(f331(f912(x97611,x97611)),f329(f329(f257(x97611,x97611),x97615),x97613)),f329(f329(f291(x97611,x97611,x97611),x97614),f309(x97611,x97614)))) % 166.45/166.23 [9788]P34(x97881,x97882,x97883,x97884,x97885)+~E(f329(f192(f906(x97881)),x97884),f329(f192(f906(x97882)),x97885))+~P1(f329(f329(f262(x97881,x97882,a900),x97883),f723(x97885,x97884,x97883,x97882,x97881))) % 166.45/166.23 [9789]P34(x97891,x97892,x97893,x97894,x97895)+~E(f329(f192(f906(x97891)),x97894),f329(f192(f906(x97892)),x97895))+~P1(f329(f329(f262(x97891,x97892,a900),x97893),f725(x97893,x97895,x97894,x97892,x97891))) % 166.45/166.23 [9794]E(f329(f329(f137(x97941),f704(x97942,x97943,x97944,x97945,x97941)),x97944),x97942)+~E(f329(f329(f137(x97941),x97943),x97942),f329(f329(f137(x97941),x97945),x97944))+E(f329(f329(f137(x97941),f705(x97942,x97943,x97944,x97945,x97941)),x97942),x97944) % 166.45/166.23 [9809]~P105(x98092)+E(f329(f329(f151(x98091,x98092,x98093),x98094),x98095),f329(f329(f154(x98091),x98094),x98095))+P1(f329(f329(f331(x98091),f770(x98094,x98093,x98095,x98091,x98092)),f329(f175(x98091),x98095))) % 166.45/166.23 [9813]~P61(x98131,x98134,x98133,x98132)+~P1(f329(f329(f331(x98131),x98135),x98133))+P1(f329(f329(f331(x98131),f530(x98132,x98133,x98134,x98131,x98135)),x98132)) % 166.45/166.23 [9814]~P61(x98141,x98144,x98143,x98142)+~P1(f329(f329(f331(x98141),x98145),x98143))+P1(f329(f329(f331(x98141),f822(x98142,x98143,x98144,x98141,x98145)),x98142)) % 166.45/166.23 [9931]~P1(f329(f329(f331(f912(f913(x99311,a900),f913(x99311,a900))),f329(f329(f257(f913(x99311,a900),f913(x99311,a900)),x99314),x99313)),f321(x99311,x99312)))+~P1(f329(f329(f331(x99311),x99315),x99314))+P1(f329(f329(f331(x99311),f595(x99312,x99313,x99314,x99311,x99315)),x99313)) % 166.45/166.23 [9942]~P105(x99422)+E(f329(f329(f151(x99421,x99422,x99423),x99424),x99425),f329(f329(f154(x99421),x99424),x99425))+~P1(f329(f329(f239(x99422),f329(x99423,x99424)),f329(x99423,f770(x99424,x99423,x99425,x99421,x99422)))) % 166.45/166.23 [9987]~P24(x99873,x99874,x99875,f247(f913(x99873,a900)))+P1(f329(x99871,x99872))+~P1(f329(x99871,f329(f94(x99873,x99874,f247(f913(x99873,a900)),x99875),f836(x99872,x99871,x99875,x99874,x99873)))) % 166.45/166.23 [10123]P34(x101231,x101232,x101233,x101234,x101235)+~E(f329(f192(f906(x101231)),x101234),f329(f192(f906(x101232)),x101235))+~P1(f329(f329(x101233,f329(f329(f167(x101231),x101234),f726(x101235,x101234,x101233,x101232,x101231))),f329(f329(f167(x101232),x101235),f726(x101235,x101234,x101233,x101232,x101231)))) % 166.45/166.23 [10124]P34(x101241,x101242,x101243,x101244,x101245)+~E(f329(f192(f906(x101241)),x101244),f329(f192(f906(x101242)),x101245))+~P1(f329(f329(x101243,f329(f329(f167(x101241),x101244),f759(x101243,x101245,x101242,x101244,x101241))),f329(f329(f167(x101242),x101245),f759(x101243,x101245,x101242,x101244,x101241)))) % 166.45/166.23 [6676]~P16(x66762,x66765,x66761)+~P1(f329(f63(x66762),x66764))+E(f329(x66761,f329(f329(f311(x66762),x66763),x66764)),f329(f329(f66(x66762,x66762,x66765),x66763),x66764)) % 166.45/166.23 [6677]~E(x66773,x66774)+~E(x66772,x66775)+E(f329(f329(f311(x66771),x66772),f329(f329(f311(x66771),x66773),f191(f913(x66771,a900)))),f329(f329(f311(x66771),x66774),f329(f329(f311(x66771),x66775),f191(f913(x66771,a900))))) % 166.45/166.23 [6688]P1(f329(x66882,x66885))+E(f180(x66881,x66882,f329(f329(f137(x66881),x66883),x66884)),f180(x66881,x66882,x66883))+~P1(f329(f329(f331(x66881),x66885),f329(f175(x66881),x66883))) % 166.45/166.23 [6725]E(f329(x67251,x67252),f191(f913(x67253,a900)))+~E(f329(f329(f41(x67254,f913(x67253,a900)),x67255),x67251),f191(f913(x67253,a900)))+~P1(f329(f329(f331(x67254),x67252),x67255)) % 166.45/166.23 [6726]E(f329(x67261,x67262),f247(f913(x67263,a900)))+~E(f329(f329(f42(x67264,f913(x67263,a900)),x67265),x67261),f247(f913(x67263,a900)))+~P1(f329(f329(f331(x67264),x67262),x67265)) % 166.45/166.23 [7025]~P1(f329(f329(f197(x70251),x70253),x70255))+~P1(f329(f329(f197(x70252),x70255),x70254))+P1(f329(f329(f197(f32(x70251,x70252)),x70253),x70254)) % 166.45/166.23 [7225]~E(x72252,x72254)+~P148(x72251)+E(f329(f329(f82(x72251),f329(f329(f83(x72251),x72252),x72253)),f329(f329(f83(x72251),x72254),x72255)),f329(f329(f82(x72251),f329(f329(f83(x72251),x72252),x72255)),f329(f329(f83(x72251),x72254),x72253))) % 166.45/166.23 [7285]~P4(x72851)+~P1(f329(f329(f331(x72854),x72853),x72855))+P1(f329(f329(f239(x72851),f329(x72852,x72853)),f329(f329(f41(x72854,x72851),x72855),x72852))) % 166.45/166.23 [7337]~P113(x73371)+P1(f329(f329(f239(x73371),f329(x73372,x73373)),f329(x73374,x73373)))+~P1(f329(f329(f239(f913(x73375,x73371)),x73372),x73374)) % 166.45/166.23 [7465]E(x74651,x74652)+E(x74653,x74651)+~E(f329(f329(f311(x74654),x74651),f329(f329(f311(x74654),x74655),f191(f913(x74654,a900)))),f329(f329(f311(x74654),x74652),f329(f329(f311(x74654),x74653),f191(f913(x74654,a900))))) % 166.45/166.23 [7466]E(x74661,x74662)+E(x74663,x74661)+~E(f329(f329(f311(x74664),x74663),f329(f329(f311(x74664),x74662),f191(f913(x74664,a900)))),f329(f329(f311(x74664),x74665),f329(f329(f311(x74664),x74661),f191(f913(x74664,a900))))) % 166.45/166.23 [7467]E(x74671,x74672)+E(x74671,x74673)+~E(f329(f329(f311(x74674),x74673),f329(f329(f311(x74674),x74672),f191(f913(x74674,a900)))),f329(f329(f311(x74674),x74675),f329(f329(f311(x74674),x74671),f191(f913(x74674,a900))))) % 166.45/166.23 [7468]E(x74681,x74682)+E(x74681,x74683)+~E(f329(f329(f311(x74684),x74681),f329(f329(f311(x74684),x74685),f191(f913(x74684,a900)))),f329(f329(f311(x74684),x74682),f329(f329(f311(x74684),x74683),f191(f913(x74684,a900))))) % 166.45/166.23 [8005]P24(x80051,x80052,x80053,x80054)+~P24(x80051,x80052,x80053,x80055)+~P1(f329(f329(f239(f913(x80051,a900)),x80054),x80055)) % 166.45/166.23 [8035]~E(f329(x80353,x80355),x80354)+~P24(x80351,x80352,x80353,f247(f913(x80351,a900)))+E(f329(f94(x80351,x80352,f247(f913(x80351,a900)),x80353),x80354),x80355) % 166.45/166.23 [8111]P1(f329(x81111,x81112))+~P1(f329(f329(f197(x81114),x81112),x81115))+P1(f329(f329(f197(f29(x81111,x81113,x81114)),x81112),x81115)) % 166.45/166.23 [8139]~P1(f329(x81391,x81394))+~P1(f329(f329(f197(x81392),x81394),x81395))+P1(f329(f329(f197(f29(x81391,x81392,x81393)),x81394),x81395)) % 166.45/166.23 [8192]E(x81921,x81922)+~E(f329(f312(x81923,x81924,x81925),x81921),f329(f312(x81923,x81924,x81925),x81922))+~P24(x81923,x81924,x81925,f329(f329(f115(f913(x81923,a900)),x81921),x81922)) % 166.45/166.23 [8265]P1(f329(x82652,x82654))+E(f329(f329(f141(x82651),f329(f192(f906(x82651)),f180(x82651,x82652,x82653))),x82653),f329(f329(f154(x82651),x82654),x82655))+~E(f329(f329(f137(x82651),f180(x82651,x82652,x82653)),f329(f329(f154(x82651),x82654),x82655)),x82653) % 166.45/166.23 [8295]~P24(x82951,x82952,x82953,x82955)+~P24(x82951,x82952,x82953,x82954)+P24(x82951,x82952,x82953,f329(f329(f106(f913(x82951,a900)),x82954),x82955)) % 166.45/166.23 [8404]~P74(x84041)+E(f329(f329(f82(x84041),f329(x84042,x84043)),f329(f168(x84041),f329(f329(f157(x84044,x84041),x84042),f173(x84044,x84043,x84045)))),f329(f168(x84041),f329(f329(f157(x84044,x84041),x84042),x84045)))+~P1(f329(f329(f331(x84044),x84043),f329(f175(x84044),x84045))) % 166.45/166.23 [8492]~P105(x84921)+~P12(x84921,f329(f329(f157(x84922,x84921),x84923),x84925))+P12(x84921,f329(f329(f157(x84922,x84921),x84923),f329(f329(f151(x84922,x84921,x84923),x84924),x84925))) % 166.45/166.23 [8572]P1(f329(x85721,x85722))+P1(f329(f329(f197(x85723),x85722),x85724))+~P1(f329(f329(f197(f29(x85721,x85725,x85723)),x85722),x85724)) % 166.45/166.23 [8583]~P4(x85831)+P1(f329(f329(f239(x85831),f329(f329(f41(x85832,x85831),x85833),x85834)),f329(f329(f41(x85832,x85831),x85835),x85834)))+~P1(f329(f329(f239(f913(x85832,a900)),x85833),x85835)) % 166.45/166.23 [8584]~P4(x85841)+P1(f329(f329(f239(x85841),f329(f329(f42(x85842,x85841),x85843),x85844)),f329(f329(f42(x85842,x85841),x85845),x85844)))+~P1(f329(f329(f239(f913(x85842,a900)),x85845),x85843)) % 166.45/166.23 [8593]~P1(f329(x85934,x85932))+P1(f329(f329(f197(x85931),x85932),x85933))+~P1(f329(f329(f197(f29(x85934,x85931,x85935)),x85932),x85933)) % 166.45/166.23 [8622]~P105(x86223)+P1(f329(f140(x86221),x86222))+~P1(f329(f140(x86221),f329(f329(f151(x86221,x86223,x86224),x86225),x86222))) % 166.45/166.23 [8632]P1(f329(f329(f197(x86321),x86322),x86323))+P1(f329(f329(f197(x86324),x86322),x86323))+~P1(f329(f329(f197(f29(x86325,x86321,x86324)),x86322),x86323)) % 166.45/166.23 [8764]~P105(x87641)+~P1(f329(f329(f331(x87642),x87643),f329(f175(x87642),x87644)))+~P1(f329(f140(x87642),f329(f329(f151(x87642,x87641,x87645),x87643),x87644))) % 166.45/166.23 [8845]~P105(x88451)+P12(x88451,f329(f329(f157(x88452,x88451),x88453),x88454))+~P12(x88451,f329(f329(f157(x88452,x88451),x88453),f329(f329(f151(x88452,x88451,x88453),x88455),x88454))) % 166.45/166.23 [8888]~P24(x88882,x88881,x88884,x88883)+E(f329(f312(x88881,x88882,f94(x88882,x88881,x88883,x88884)),f329(f312(x88882,x88881,x88884),x88885)),x88885)+~P1(f329(f329(f239(f913(x88882,a900)),x88885),x88883)) % 166.45/166.23 [8939]~P105(x89392)+E(f329(f329(f151(x89391,x89392,x89393),x89394),x89395),f152(x89391,x89392,x89393,x89394,x89395))+P1(f329(f329(f331(x89392),f329(x89393,x89394)),f329(f312(x89391,x89392,x89393),f329(f175(x89391),x89395)))) % 166.45/166.23 [9020]~P105(x90202)+E(f152(x90201,x90202,x90203,x90204,x90205),x90205)+~P1(f329(f329(f331(x90202),f329(x90203,x90204)),f329(f312(x90201,x90202,x90203),f329(f175(x90201),x90205)))) % 166.45/166.23 [9037]~P24(x90372,x90371,x90373,x90375)+P1(f329(f329(f240(f913(x90371,a900)),f329(f312(x90372,x90371,x90373),x90374)),f329(f312(x90372,x90371,x90373),x90375)))+~P1(f329(f329(f240(f913(x90372,a900)),x90374),x90375)) % 166.45/166.23 [9199]~P24(x91991,x91992,x91993,f247(f913(x91991,a900)))+~P1(f329(f329(f239(f913(x91992,a900)),x91994),f329(f312(x91991,x91992,x91993),x91995)))+P1(f329(f329(f239(f913(x91991,a900)),f329(f313(x91991,x91992,x91993),x91994)),x91995)) % 166.45/166.23 [9223]~E(f329(f312(x92233,x92231,x92234),f247(f913(x92233,a900))),f247(f913(x92231,a900)))+P1(f329(f329(f239(f913(x92231,a900)),x92232),f329(f312(x92233,x92231,x92234),x92235)))+~P1(f329(f329(f239(f913(x92233,a900)),f329(f313(x92233,x92231,x92234),x92232)),x92235)) % 166.45/166.23 [9336]~P24(x93361,x93364,x93365,f247(f913(x93361,a900)))+~P1(f329(f329(f239(f913(x93364,a900)),f329(f312(x93361,x93364,x93365),x93362)),f329(f312(x93361,x93364,x93365),x93363)))+P1(f329(f329(f239(f913(x93361,a900)),x93362),x93363)) % 166.45/166.23 [9457]~P84(x94571)+~E(f329(x94573,f744(x94573,x94574,x94575,x94572,x94571)),f2(x94571))+E(f329(f168(x94571),f329(f329(f157(x94572,x94571),x94573),f329(f139(x94572,x94574),x94575))),f329(f168(x94571),f329(f329(f157(x94572,x94571),x94573),x94575))) % 166.45/166.23 [9639]~P15(x96391,x96392,x96393)+~P1(f329(f63(x96391),x96395))+P1(f329(f68(x96391,x96392,x96393,x96394,x96395),f329(f329(f66(x96391,x96392,x96393),x96394),x96395))) % 166.45/166.23 [9717]~P25(x97172,x97171,x97174,f247(f913(x97172,a900)),f247(f913(x97171,a900)))+~P25(x97171,x97173,x97175,f247(f913(x97171,a900)),f247(f913(x97173,a900)))+E(f329(f74(x97171,x97172,x97173,f94(x97172,x97171,f247(f913(x97172,a900)),x97174)),f94(x97171,x97173,f247(f913(x97171,a900)),x97175)),f94(x97172,x97173,f247(f913(x97172,a900)),f329(f74(x97171,x97173,x97172,x97175),x97174))) % 166.45/166.23 [9718]P1(f329(x97181,f663(x97182,x97181,x97183,x97184,x97185)))+~P1(f329(f329(f239(f913(x97185,a900)),x97184),x97183))+P1(f329(f329(f239(f913(x97185,a900)),f329(f329(f106(f913(x97185,a900)),x97184),f329(f267(x97185),x97181))),f329(f329(f106(f913(x97185,a900)),x97183),f329(f267(x97185),x97182)))) % 166.45/166.23 [9734]~P84(x97341)+~P1(f329(x97344,f744(x97343,x97344,x97345,x97342,x97341)))+E(f329(f168(x97341),f329(f329(f157(x97342,x97341),x97343),f329(f139(x97342,x97344),x97345))),f329(f168(x97341),f329(f329(f157(x97342,x97341),x97343),x97345))) % 166.45/166.23 [9811]~P4(x98115)+P1(f329(f329(f331(x98111),f633(x98112,x98113,x98111,x98114,x98115)),x98113))+P1(f329(f329(f239(x98115),x98114),f329(f329(f42(x98111,x98115),x98113),x98112))) % 166.45/166.23 [9815]~P84(x98151)+E(f329(f168(x98151),f329(f329(f157(x98152,x98151),x98153),f329(f139(x98152,x98154),x98155))),f329(f168(x98151),f329(f329(f157(x98152,x98151),x98153),x98155)))+P1(f329(f329(f331(x98152),f744(x98153,x98154,x98155,x98152,x98151)),f329(f175(x98152),x98155))) % 166.45/166.23 [9825]~P1(f329(x98255,f663(x98255,x98253,x98254,x98252,x98251)))+~P1(f329(f329(f239(f913(x98251,a900)),x98252),x98254))+P1(f329(f329(f239(f913(x98251,a900)),f329(f329(f106(f913(x98251,a900)),x98252),f329(f267(x98251),x98253))),f329(f329(f106(f913(x98251,a900)),x98254),f329(f267(x98251),x98255)))) % 166.45/166.23 [9841]~P24(x98415,x98413,x98414,f247(f913(x98415,a900)))+P1(f329(x98411,x98412))+P1(f329(f329(f331(x98413),f836(x98412,x98411,x98414,x98413,x98415)),f329(f312(x98415,x98413,x98414),f247(f913(x98415,a900))))) % 166.45/166.23 [9864]P34(x98641,x98642,x98643,x98644,x98645)+~E(f329(f192(f906(x98642)),x98645),f329(f192(f906(x98641)),x98644))+P1(f329(f329(f240(a905),f726(x98645,x98644,x98643,x98642,x98641)),f329(f192(f906(x98641)),x98644))) % 166.45/166.23 [9865]P34(x98651,x98652,x98653,x98654,x98655)+~E(f329(f192(f906(x98652)),x98655),f329(f192(f906(x98651)),x98654))+P1(f329(f329(f240(a905),f759(x98653,x98655,x98652,x98654,x98651)),f329(f192(f906(x98651)),x98654))) % 166.45/166.23 [9898]P1(f329(f329(f331(x98981),f663(x98982,x98983,x98984,x98985,x98981)),x98985))+~P1(f329(f329(f239(f913(x98981,a900)),x98985),x98984))+P1(f329(f329(f239(f913(x98981,a900)),f329(f329(f106(f913(x98981,a900)),x98985),f329(f267(x98981),x98983))),f329(f329(f106(f913(x98981,a900)),x98984),f329(f267(x98981),x98982)))) % 166.45/166.23 [9943]~P4(x99431)+~P1(f329(f329(f239(x99431),x99432),f329(x99435,f633(x99435,x99434,x99433,x99432,x99431))))+P1(f329(f329(f239(x99431),x99432),f329(f329(f42(x99433,x99431),x99434),x99435))) % 166.45/166.23 [9977]~P80(x99771)+~P1(f329(f63(x99772),x99775))+E(f329(f329(f329(f67(x99771,x99772,f83(x99771)),f329(f329(f18(x99772,x99771,x99771),f329(f329(f8(x99771,f913(x99771,x99771),x99772),f83(x99771)),x99773)),x99774)),f80(x99771)),x99775),f329(f329(f83(x99771),f329(f329(f329(f67(x99771,x99772,f83(x99771)),x99773),f80(x99771)),x99775)),f329(f329(f329(f67(x99771,x99772,f83(x99771)),x99774),f80(x99771)),x99775))) % 166.45/166.23 [10031]~P1(f329(f329(f331(f912(f913(x100311,a900),f913(x100311,a900))),f329(f329(f257(f913(x100311,a900),f913(x100311,a900)),x100315),x100314)),f321(x100311,x100313)))+~P1(f329(f329(f331(x100311),x100312),x100315))+P1(f329(f329(f331(f912(x100311,x100311)),f329(f329(f257(x100311,x100311),x100312),f595(x100313,x100314,x100315,x100311,x100312))),x100313)) % 166.45/166.23 [10155]~P1(f329(f329(f331(f912(f906(x101551),f906(x101551))),f329(f329(f257(f906(x101551),f906(x101551)),f329(f329(f137(x101551),x101555),x101552)),f329(f329(f137(x101551),x101555),x101553))),f150(x101551,x101554)))+P1(f329(f329(f331(f912(f906(x101551),f906(x101551))),f329(f329(f257(f906(x101551),f906(x101551)),x101552),x101553)),f150(x101551,x101554)))+P1(f329(f329(f331(f912(x101551,x101551)),f329(f329(f257(x101551,x101551),f710(x101554,x101553,x101552,x101555,x101551)),f710(x101554,x101553,x101552,x101555,x101551))),x101554)) % 166.45/166.23 [7340]~E(x73403,x73405)+E(f329(f329(f167(x73401),f329(f329(f162(x73401,x73402),x73403),x73404)),x73405),x73404)+~P1(f329(f329(f240(a905),x73403),f329(f192(f906(x73401)),x73402))) % 166.45/166.23 [7462]~E(f329(f329(f137(x74621),x74622),x74624),f329(f329(f137(x74621),x74623),x74625))+E(f329(f329(f178(x74621),f329(f192(f906(x74621)),x74622)),x74623),x74622)+P1(f329(f329(f239(a905),f329(f192(f906(x74621)),x74623)),f329(f192(f906(x74621)),x74622))) % 166.45/166.23 [7966]~E(f329(f329(f137(x79661),x79662),x79664),f329(f329(f137(x79661),x79663),x79665))+E(f329(f329(f178(x79661),f329(f192(f906(x79661)),x79662)),x79663),x79662)+~P1(f329(f329(f239(a905),f329(f192(f906(x79661)),x79662)),f329(f192(f906(x79661)),x79663))) % 166.45/166.23 [7990]~P1(f329(f63(x79901),f329(x79904,x79905)))+~P1(f329(f329(f331(x79902),x79905),x79903))+P1(f329(f63(x79901),f329(f329(f42(x79902,f913(x79901,a900)),x79903),x79904))) % 166.45/166.23 [8176]~P55(x81761,x81763,x81765)+~P55(x81761,x81762,x81764)+P55(x81761,f329(f329(f115(f913(x81761,a900)),x81762),x81763),f329(f329(f115(f913(f912(x81761,x81761),a900)),x81764),x81765)) % 166.45/166.23 [8177]~P55(x81771,x81773,x81775)+~P55(x81771,x81772,x81774)+P55(x81771,f329(f329(f106(f913(x81771,a900)),x81772),x81773),f329(f329(f106(f913(f912(x81771,x81771),a900)),x81774),x81775)) % 166.45/166.23 [8532]E(f329(f329(f257(x85321,x85322),f329(f329(f167(x85321),x85323),x85324)),f329(f329(f167(x85322),x85325),x85324)),f329(f329(f167(f912(x85321,x85322)),f329(f329(f184(x85321,x85322),x85323),x85325)),x85324))+~P1(f329(f329(f240(a905),x85324),f329(f192(f906(x85321)),x85323)))+~P1(f329(f329(f240(a905),x85324),f329(f192(f906(x85322)),x85325))) % 166.45/166.23 [8697]~P55(x86971,x86973,x86974)+P1(f329(f329(f331(x86971),x86972),x86973))+~P1(f329(f329(f331(f912(x86971,x86971)),f329(f329(f257(x86971,x86971),x86975),x86972)),x86974)) % 166.45/166.23 [8698]~P55(x86981,x86983,x86984)+P1(f329(f329(f331(x86981),x86982),x86983))+~P1(f329(f329(f331(f912(x86981,x86981)),f329(f329(f257(x86981,x86981),x86982),x86985)),x86984)) % 166.45/166.23 [8699]~P7(x86991,x86993,x86994)+P1(f329(f329(f331(x86991),x86992),x86993))+~P1(f329(f329(f331(f912(x86991,x86991)),f329(f329(f257(x86991,x86991),x86995),x86992)),x86994)) % 166.45/166.23 [8700]~P7(x87001,x87003,x87004)+P1(f329(f329(f331(x87001),x87002),x87003))+~P1(f329(f329(f331(f912(x87001,x87001)),f329(f329(f257(x87001,x87001),x87002),x87005)),x87004)) % 166.45/166.23 [8961]~P7(x89611,x89615,x89612)+E(f329(f288(x89611,x89611,x89612),f329(f329(f311(x89611),x89613),f191(f913(x89611,a900)))),f329(f288(x89611,x89611,x89612),f329(f329(f311(x89611),x89614),f191(f913(x89611,a900)))))+~P1(f329(f329(f331(f912(x89611,x89611)),f329(f329(f257(x89611,x89611),x89613),x89614)),x89612)) % 166.45/166.23 [9155]P1(f329(x91551,x91552))+~P1(f329(f329(f331(x91553),x91552),x91555))+P1(f329(f329(f331(x91553),f555(x91551,x91554,x91555,x91553)),f329(f329(f115(f913(x91553,a900)),x91555),x91554))) % 166.45/166.23 [9156]P1(f329(x91561,x91562))+~P1(f329(f329(f331(x91563),x91562),x91564))+P1(f329(f329(f331(x91563),f555(x91561,x91564,x91565,x91563)),f329(f329(f115(f913(x91563,a900)),x91565),x91564))) % 166.45/166.23 [9164]~P1(f329(x91642,x91645))+~P1(f329(f329(f331(x91641),x91645),x91644))+P1(f329(f329(f331(x91641),f878(x91642,x91643,x91644,x91641)),f329(f329(f115(f913(x91641,a900)),x91644),x91643))) % 166.45/166.23 [9165]~P1(f329(x91652,x91655))+~P1(f329(f329(f331(x91651),x91655),x91653))+P1(f329(f329(f331(x91651),f878(x91652,x91653,x91654,x91651)),f329(f329(f115(f913(x91651,a900)),x91654),x91653))) % 166.45/166.23 [9180]~P1(f329(f329(f239(f913(x91801,a900)),x91803),x91805))+~P1(f329(f329(f239(f913(x91801,a900)),x91802),x91804))+P1(f329(f329(f239(f913(x91801,a900)),f329(f329(f115(f913(x91801,a900)),x91802),x91803)),f329(f329(f115(f913(x91801,a900)),x91804),x91805))) % 166.45/166.23 [9181]~P1(f329(f329(f239(f913(x91811,a900)),x91815),x91813))+~P1(f329(f329(f239(f913(x91811,a900)),x91812),x91814))+P1(f329(f329(f239(f913(x91811,a900)),f329(f329(f23(f913(x91811,a900)),x91812),x91813)),f329(f329(f23(f913(x91811,a900)),x91814),x91815))) % 166.45/166.23 [9182]~P1(f329(f329(f239(f913(x91821,a900)),x91823),x91825))+~P1(f329(f329(f239(f913(x91821,a900)),x91822),x91824))+P1(f329(f329(f239(f913(x91821,a900)),f329(f329(f106(f913(x91821,a900)),x91822),x91823)),f329(f329(f106(f913(x91821,a900)),x91824),x91825))) % 166.45/166.23 [9284]P1(f329(f329(f331(f912(x92841,x92841)),f329(f329(f257(x92841,x92841),x92842),x92843)),f323(x92841,x92844,x92845)))+~P1(f329(f329(f239(a905),f329(x92844,x92842)),f329(x92844,x92843)))+~P1(f329(f329(f331(f912(x92841,x92841)),f329(f329(f257(x92841,x92841),x92842),x92843)),x92845)) % 166.45/166.23 [9467]P1(f329(f329(f331(f912(x94671,x94671)),f329(f329(f257(x94671,x94671),x94672),x94673)),f309(x94671,x94674)))+~P1(f329(f329(f331(f912(x94671,x94671)),f329(f329(f257(x94671,x94671),x94672),x94675)),f309(x94671,x94674)))+~P1(f329(f329(f331(f912(x94671,x94671)),f329(f329(f257(x94671,x94671),x94675),x94673)),x94674)) % 166.45/166.23 [9468]P1(f329(f329(f331(f912(x94681,x94681)),f329(f329(f257(x94681,x94681),x94682),x94683)),f309(x94681,x94684)))+~P1(f329(f329(f331(f912(x94681,x94681)),f329(f329(f257(x94681,x94681),x94685),x94683)),f309(x94681,x94684)))+~P1(f329(f329(f331(f912(x94681,x94681)),f329(f329(f257(x94681,x94681),x94682),x94685)),x94684)) % 166.45/166.23 [9566]E(x95661,x95662)+E(f329(a117,f606(x95663,x95664,x95661,x95662,x95665)),x95664)+~P1(f329(f329(f331(f912(x95665,x95665)),f329(f329(f257(x95665,x95665),x95662),x95661)),f329(f329(f186(f912(x95665,x95665),a900),x95664),x95663))) % 166.45/166.23 [9567]E(x95671,x95672)+E(f329(a117,f608(x95673,x95674,x95671,x95672,x95675)),x95674)+~P1(f329(f329(f331(f912(x95675,x95675)),f329(f329(f257(x95675,x95675),x95672),x95671)),f329(f329(f186(f912(x95675,x95675),a900),x95674),x95673))) % 166.45/166.23 [9568]E(x95681,f2(a905))+E(f329(a117,f606(x95682,x95681,x95683,x95684,x95685)),x95681)+~P1(f329(f329(f331(f912(x95685,x95685)),f329(f329(f257(x95685,x95685),x95684),x95683)),f329(f329(f186(f912(x95685,x95685),a900),x95681),x95682))) % 166.45/166.23 [9569]E(x95691,f2(a905))+E(f329(a117,f608(x95692,x95691,x95693,x95694,x95695)),x95691)+~P1(f329(f329(f331(f912(x95695,x95695)),f329(f329(f257(x95695,x95695),x95694),x95693)),f329(f329(f186(f912(x95695,x95695),a900),x95691),x95692))) % 166.45/166.23 [9591]P1(f329(f329(f331(f912(x95911,x95911)),f329(f329(f257(x95911,x95911),x95912),x95913)),f329(f329(f291(x95911,x95911,x95911),x95914),f309(x95911,x95914))))+~P1(f329(f329(f331(f912(x95911,x95911)),f329(f329(f257(x95911,x95911),x95912),x95915)),x95914))+~P1(f329(f329(f331(f912(x95911,x95911)),f329(f329(f257(x95911,x95911),x95915),x95913)),x95914)) % 166.45/166.23 [9598]~P1(f329(f329(f331(f912(x95981,x95981)),f329(f329(f257(x95981,x95981),x95982),x95985)),f309(x95981,x95984)))+P1(f329(f329(f331(f912(x95981,x95981)),f329(f329(f257(x95981,x95981),x95982),x95983)),f329(f329(f291(x95981,x95981,x95981),x95984),f309(x95981,x95984))))+~P1(f329(f329(f331(f912(x95981,x95981)),f329(f329(f257(x95981,x95981),x95985),x95983)),x95984)) % 166.45/166.23 [9633]~P7(x96331,x96335,x96332)+~P1(f329(f329(f331(f912(x96331,x96331)),f329(f329(f257(x96331,x96331),x96333),x96334)),x96332))+P1(f329(f329(f239(f913(x96331,a900)),f329(f288(x96331,x96331,x96332),f329(f329(f311(x96331),x96333),f191(f913(x96331,a900))))),f329(f288(x96331,x96331,x96332),f329(f329(f311(x96331),x96334),f191(f913(x96331,a900)))))) % 166.45/166.23 [9690]P1(f329(f329(f331(f912(x96901,x96901)),f329(f329(f257(x96901,x96901),x96902),x96903)),f329(f329(f291(x96901,x96901,x96901),x96904),f309(x96901,x96904))))+~P1(f329(f329(f331(f912(x96901,x96901)),f329(f329(f257(x96901,x96901),x96902),x96905)),f329(f329(f291(x96901,x96901,x96901),x96904),f309(x96901,x96904))))+~P1(f329(f329(f331(f912(x96901,x96901)),f329(f329(f257(x96901,x96901),x96905),x96903)),x96904)) % 166.45/166.23 [9691]P1(f329(f329(f331(f912(x96911,x96911)),f329(f329(f257(x96911,x96911),x96912),x96913)),f329(f329(f291(x96911,x96911,x96911),x96914),f309(x96911,x96914))))+~P1(f329(f329(f331(f912(x96911,x96911)),f329(f329(f257(x96911,x96911),x96915),x96913)),f329(f329(f291(x96911,x96911,x96911),x96914),f309(x96911,x96914))))+~P1(f329(f329(f331(f912(x96911,x96911)),f329(f329(f257(x96911,x96911),x96912),x96915)),x96914)) % 166.45/166.23 [9743]~P1(f329(f68(x97431,x97431,x97434,x97432,x97433),x97435))+P1(f329(f329(f331(x97431),x97432),x97433))+P1(f329(f64(x97431,x97434,f329(f329(f311(x97431),x97432),x97433)),x97435)) % 166.45/166.23 [9781]~E(f329(f312(x97813,x97812,x97815),x97814),x97811)+E(x97811,f191(f913(x97812,a900)))+P1(f329(f329(f239(f913(x97813,a900)),f329(f312(x97812,x97813,f736(x97814,x97813,x97812,x97811)),x97811)),x97814)) % 166.45/166.23 [9828]~P4(x98285)+P1(f329(f329(f331(x98281),f431(x98282,x98283,x98284,x98281,x98285)),x98284))+P1(f329(f329(f239(x98285),f329(f329(f41(x98281,x98285),x98284),x98283)),x98282)) % 166.45/166.23 [9884]P34(x98841,x98842,x98843,x98844,x98845)+~E(f329(f192(f906(x98841)),x98844),f329(f192(f906(x98842)),x98845))+P1(f329(f329(f331(f912(x98841,x98842)),f723(x98845,x98844,x98843,x98842,x98841)),f329(f175(f912(x98841,x98842)),f329(f329(f184(x98841,x98842),x98844),x98845)))) % 166.45/166.23 [9885]P34(x98851,x98852,x98853,x98854,x98855)+~E(f329(f192(f906(x98851)),x98854),f329(f192(f906(x98852)),x98855))+P1(f329(f329(f331(f912(x98851,x98852)),f725(x98853,x98855,x98854,x98852,x98851)),f329(f175(f912(x98851,x98852)),f329(f329(f184(x98851,x98852),x98854),x98855)))) % 166.45/166.23 [10010]E(x100101,x100102)+P1(f329(f329(f331(f912(x100103,x100103)),f329(f329(f257(x100103,x100103),x100101),f607(x100104,x100105,x100102,x100101,x100103))),x100104))+~P1(f329(f329(f331(f912(x100103,x100103)),f329(f329(f257(x100103,x100103),x100101),x100102)),f329(f329(f186(f912(x100103,x100103),a900),x100105),x100104))) % 166.45/166.23 [10011]E(x100111,f2(a905))+P1(f329(f329(f331(f912(x100112,x100112)),f329(f329(f257(x100112,x100112),x100113),f607(x100114,x100111,x100115,x100113,x100112))),x100114))+~P1(f329(f329(f331(f912(x100112,x100112)),f329(f329(f257(x100112,x100112),x100113),x100115)),f329(f329(f186(f912(x100112,x100112),a900),x100111),x100114))) % 166.45/166.23 [10051]~P4(x100511)+~P1(f329(f329(f239(x100511),f329(x100514,f431(x100515,x100514,x100513,x100512,x100511))),x100515))+P1(f329(f329(f239(x100511),f329(f329(f41(x100512,x100511),x100513),x100514)),x100515)) % 166.45/166.23 [10092]E(x100921,x100922)+P1(f329(f329(f331(f912(x100923,x100923)),f329(f329(f257(x100923,x100923),f609(x100924,x100925,x100921,x100922,x100923)),x100921)),x100924))+~P1(f329(f329(f331(f912(x100923,x100923)),f329(f329(f257(x100923,x100923),x100922),x100921)),f329(f329(f186(f912(x100923,x100923),a900),x100925),x100924))) % 166.45/166.23 [10093]E(x100931,f2(a905))+P1(f329(f329(f331(f912(x100932,x100932)),f329(f329(f257(x100932,x100932),f609(x100933,x100931,x100934,x100935,x100932)),x100934)),x100933))+~P1(f329(f329(f331(f912(x100932,x100932)),f329(f329(f257(x100932,x100932),x100935),x100934)),f329(f329(f186(f912(x100932,x100932),a900),x100931),x100933))) % 166.45/166.23 [10097]E(x100971,x100972)+P1(f329(f329(f331(f912(x100973,x100973)),f329(f329(f257(x100973,x100973),x100971),f609(x100974,x100975,x100972,x100971,x100973))),f329(f329(f186(f912(x100973,x100973),a900),f608(x100974,x100975,x100972,x100971,x100973)),x100974)))+~P1(f329(f329(f331(f912(x100973,x100973)),f329(f329(f257(x100973,x100973),x100971),x100972)),f329(f329(f186(f912(x100973,x100973),a900),x100975),x100974))) % 166.45/166.23 [10098]E(x100981,f2(a905))+P1(f329(f329(f331(f912(x100982,x100982)),f329(f329(f257(x100982,x100982),x100983),f609(x100984,x100981,x100985,x100983,x100982))),f329(f329(f186(f912(x100982,x100982),a900),f608(x100984,x100981,x100985,x100983,x100982)),x100984)))+~P1(f329(f329(f331(f912(x100982,x100982)),f329(f329(f257(x100982,x100982),x100983),x100985)),f329(f329(f186(f912(x100982,x100982),a900),x100981),x100984))) % 166.45/166.23 [10146]E(x101461,x101462)+P1(f329(f329(f331(f912(x101463,x101463)),f329(f329(f257(x101463,x101463),f607(x101464,x101465,x101461,x101462,x101463)),x101461)),f329(f329(f186(f912(x101463,x101463),a900),f606(x101464,x101465,x101461,x101462,x101463)),x101464)))+~P1(f329(f329(f331(f912(x101463,x101463)),f329(f329(f257(x101463,x101463),x101462),x101461)),f329(f329(f186(f912(x101463,x101463),a900),x101465),x101464))) % 166.45/166.23 [10147]E(x101471,f2(a905))+P1(f329(f329(f331(f912(x101472,x101472)),f329(f329(f257(x101472,x101472),f607(x101473,x101471,x101474,x101475,x101472)),x101474)),f329(f329(f186(f912(x101472,x101472),a900),f606(x101473,x101471,x101474,x101475,x101472)),x101473)))+~P1(f329(f329(f331(f912(x101472,x101472)),f329(f329(f257(x101472,x101472),x101475),x101474)),f329(f329(f186(f912(x101472,x101472),a900),x101471),x101473))) % 166.45/166.23 [10183]~P74(x101832)+~P1(f329(f63(x101831),x101835))+E(f329(f329(f6(x101831,x101832),f329(f329(f7(x101831,x101832,x101832),f329(f329(f18(x101831,x101832,f913(x101832,x101832)),f329(f329(f8(a900,f913(x101832,f913(x101832,x101832)),x101831),f99(x101832)),f329(f329(f7(x101831,f913(x101831,a900),a900),f331(x101831)),x101833))),x101834)),f2(x101832))),x101835),f329(f329(f6(x101831,x101832),x101834),f329(f329(f106(f913(x101831,a900)),x101835),x101833))) % 166.45/166.23 [8761]~P74(x87611)+~P1(f329(f63(x87614),x87615))+E(f329(f329(f82(x87611),f329(x87612,x87613)),f329(f329(f6(x87614,x87611),x87612),f329(f329(f23(f913(x87614,a900)),x87615),f329(f329(f311(x87614),x87613),f191(f913(x87614,a900)))))),f329(f329(f6(x87614,x87611),x87612),f329(f329(f311(x87614),x87613),x87615))) % 166.45/166.23 [8762]~P80(x87621)+~P1(f329(f63(x87624),x87625))+E(f329(f329(f83(x87621),f329(x87622,x87623)),f329(f329(f9(x87624,x87621),x87622),f329(f329(f23(f913(x87624,a900)),x87625),f329(f329(f311(x87624),x87623),f191(f913(x87624,a900)))))),f329(f329(f9(x87624,x87621),x87622),f329(f329(f311(x87624),x87623),x87625))) % 166.45/166.23 [9084]~P105(x90842)+~P12(x90842,f329(f171(x90842),f329(f329(f157(x90841,x90842),x90844),x90845)))+E(f329(f139(x90841,f329(f329(f8(x90842,a900,x90841),f329(f240(x90842),x90843)),x90844)),x90845),f180(x90841,f329(f329(f8(x90842,a900,x90841),f329(f240(x90842),x90843)),x90844),x90845)) % 166.45/166.23 [9109]~P74(x91091)+E(f329(f329(f82(x91091),f329(f329(f6(a905,x91091),x91092),f305(a905,x91093,x91094))),f329(f329(f6(a905,x91091),x91092),f305(a905,f329(f329(f82(a905),x91094),f80(a905)),f329(f329(f82(a905),x91094),x91095)))),f329(f329(f6(a905,x91091),x91092),f305(a905,x91093,f329(f329(f82(a905),x91094),x91095))))+~P1(f329(f329(f239(a905),x91093),f329(f329(f82(a905),x91094),f80(a905)))) % 166.45/166.23 [9110]~P1(f329(f329(f331(x91101),x91104),x91105))+~P1(f329(f329(f239(f913(x91101,a900)),f329(f175(x91101),x91102)),x91105))+P1(f329(f329(f239(f913(x91101,a900)),f329(f175(x91101),f329(f329(f162(x91101,x91102),x91103),x91104))),x91105)) % 166.45/166.23 [9343]~P4(x93432)+~P1(f329(f63(x93431),x93435))+E(f329(f329(f66(x93431,x93432,f329(f329(f8(x93432,f913(x93432,x93432),x93431),f115(x93432)),x93433)),x93434),x93435),f329(f329(f115(x93432),x93434),f329(f329(f41(x93431,x93432),x93435),x93433))) % 166.45/166.23 [9344]~P4(x93442)+~P1(f329(f63(x93441),x93445))+E(f329(f329(f66(x93441,x93442,f329(f329(f8(x93442,f913(x93442,x93442),x93441),f106(x93442)),x93443)),x93444),x93445),f329(f329(f106(x93442),x93444),f329(f329(f42(x93441,x93442),x93445),x93443))) % 166.45/166.23 [9391]E(f329(x93911,x93912),f329(x93911,x93913))+P1(f329(f329(f240(a905),f329(x93911,x93912)),f329(x93911,x93913)))+~P1(f329(f329(f331(f912(x93914,x93914)),f329(f329(f257(x93914,x93914),x93912),x93913)),f156(x93914,f329(f329(f154(f913(x93914,a905)),x93911),x93915)))) % 166.45/166.23 [9424]~E(f329(x94244,x94242),f329(x94244,x94243))+~P1(f329(f329(f331(f912(x94241,x94241)),f329(f329(f257(x94241,x94241),x94242),x94243)),f156(x94241,x94245)))+P1(f329(f329(f331(f912(x94241,x94241)),f329(f329(f257(x94241,x94241),x94242),x94243)),f156(x94241,f329(f329(f154(f913(x94241,a905)),x94244),x94245)))) % 166.45/166.23 [9445]~P24(x94451,x94452,x94453,x94455)+P24(x94451,x94452,x94453,f329(f329(f311(x94451),x94454),x94455))+P1(f329(f329(f331(x94452),f329(x94453,x94454)),f329(f312(x94451,x94452,x94453),f329(f329(f23(f913(x94451,a900)),x94455),f329(f329(f311(x94451),x94454),f191(f913(x94451,a900))))))) % 166.45/166.23 [9448]P1(f329(x94482,x94485))+~P1(f329(f329(f331(x94481),x94485),f329(f175(x94481),x94483)))+E(f329(f329(f141(x94481),f329(f192(f906(x94481)),f180(x94481,x94482,f329(f329(f137(x94481),x94483),x94484)))),f329(f329(f137(x94481),x94483),x94484)),f329(f329(f137(x94481),f329(f329(f141(x94481),f329(f192(f906(x94481)),f180(x94481,x94482,x94483))),x94483)),x94484)) % 166.45/166.23 [9453]~P1(f329(f329(f331(f912(x94531,x94531)),f329(f329(f257(x94531,x94531),x94532),x94533)),f156(x94531,x94535)))+~P1(f329(f329(f239(a905),f329(x94534,x94532)),f329(x94534,x94533)))+P1(f329(f329(f331(f912(x94531,x94531)),f329(f329(f257(x94531,x94531),x94532),x94533)),f156(x94531,f329(f329(f154(f913(x94531,a905)),x94534),x94535)))) % 166.45/166.23 [9516]P1(f329(f329(f331(f912(x95164,x95164)),f329(f329(f257(x95164,x95164),x95162),x95163)),f156(x95164,x95165)))+P1(f329(f329(f240(a905),f329(x95161,x95162)),f329(x95161,x95163)))+~P1(f329(f329(f331(f912(x95164,x95164)),f329(f329(f257(x95164,x95164),x95162),x95163)),f156(x95164,f329(f329(f154(f913(x95164,a905)),x95161),x95165)))) % 166.45/166.23 [9662]~P1(f329(f329(f331(f912(f906(x96621),f906(x96621))),f329(f329(f257(f906(x96621),f906(x96621)),x96622),x96624)),f161(x96621,x96625)))+~P1(f329(f329(f240(a905),x96623),f329(f192(f906(x96621)),x96622)))+P1(f329(f329(f331(f912(x96621,x96621)),f329(f329(f257(x96621,x96621),f329(f329(f167(x96621),x96622),x96623)),f329(f329(f167(x96621),x96624),x96623))),x96625)) % 166.45/166.23 [9907]E(x99071,f2(a1))+~P1(f329(f51(x99073,x99071),f329(f329(f257(a1,a1),x99074),x99075)))+P1(f329(f51(f329(f329(f83(a1),x99072),x99073),x99071),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),x99072),x99074)),f329(f329(f38(a1),f329(f329(f83(a1),x99072),x99075)),x99071))),f47(a1,f329(f329(f83(a1),x99072),x99075),x99071)))) % 166.45/166.23 [9909]~P1(f329(f329(f240(a905),f2(a905)),x99093))+~P1(f329(f50(x99092,x99093),f329(f329(f257(a905,a905),x99094),x99095)))+P1(f329(f50(f329(f329(f83(a905),x99091),x99092),x99093),f329(f329(f257(a905,a905),f329(f329(f82(a905),f329(f329(f83(a905),x99091),x99094)),f329(f329(f38(a905),f329(f329(f83(a905),x99091),x99095)),x99093))),f47(a905,f329(f329(f83(a905),x99091),x99095),x99093)))) % 166.45/166.23 [10206]~P74(x102062)+~P1(f329(f63(x102061),x102064))+E(f329(f329(f6(x102061,x102062),x102063),f329(f267(x102061),f329(f329(f18(x102061,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102061),a327),f329(f329(f7(x102061,f913(x102061,a900),a900),f331(x102061)),x102064))),f329(f329(f7(x102061,f913(x102061,a900),a900),f331(x102061)),x102065)))),f329(f329(f6(x102061,x102062),f329(f329(f7(x102061,x102062,x102062),f329(f329(f18(x102061,x102062,f913(x102062,x102062)),f329(f329(f8(a900,f913(x102062,f913(x102062,x102062)),x102061),f99(x102062)),f329(f329(f7(x102061,f913(x102061,a900),a900),f331(x102061)),x102065))),x102063)),f2(x102062))),x102064)) % 166.45/166.23 [8382]~E(f329(f329(f137(x83821),x83822),x83825),f329(f329(f137(x83821),x83823),x83824))+E(f329(f329(f137(x83821),f329(f329(f141(x83821),f329(f192(f906(x83821)),x83822)),x83823)),x83824),x83825)+P1(f329(f329(f239(a905),f329(f192(f906(x83821)),x83823)),f329(f192(f906(x83821)),x83822))) % 166.45/166.23 [8586]~E(f329(f329(f137(x85862),x85863),x85861),f329(f329(f137(x85862),x85864),x85865))+E(x85861,f329(f329(f137(x85862),f329(f329(f141(x85862),f329(f192(f906(x85862)),x85863)),x85864)),x85865))+~P1(f329(f329(f239(a905),f329(f192(f906(x85862)),x85863)),f329(f192(f906(x85862)),x85864))) % 166.45/166.23 [8680]~E(f329(f329(f82(a905),f329(f329(f83(a905),x86803),x86804)),x86801),f329(f329(f82(a905),f329(f329(f83(a905),x86802),x86804)),x86805))+~P1(f329(f329(f239(a905),x86803),x86802))+E(x86801,f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x86802),x86803)),x86804)),x86805)) % 166.45/166.23 [8681]~E(f329(f329(f82(a905),f329(f329(f83(a905),x86811),x86813)),x86814),f329(f329(f82(a905),f329(f329(f83(a905),x86812),x86813)),x86815))+~P1(f329(f329(f239(a905),x86812),x86811))+E(f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x86811),x86812)),x86813)),x86814),x86815) % 166.45/166.23 [8838]E(f329(f329(f82(a905),f329(f329(f83(a905),x88381),x88382)),x88383),f329(f329(f82(a905),f329(f329(f83(a905),x88384),x88382)),x88385))+~P1(f329(f329(f239(a905),x88384),x88381))+~E(x88385,f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x88381),x88384)),x88382)),x88383)) % 166.45/166.23 [8839]E(f329(f329(f82(a905),f329(f329(f83(a905),x88391),x88392)),x88393),f329(f329(f82(a905),f329(f329(f83(a905),x88394),x88392)),x88395))+~P1(f329(f329(f239(a905),x88394),x88391))+~E(f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x88391),x88394)),x88392)),x88393),x88395) % 166.45/166.23 [9716]~P70(x97162)+~P1(f329(f63(x97161),x97165))+E(f329(f329(f9(x97161,x97162),f329(f329(f18(x97161,x97162,x97162),f329(f329(f8(x97162,f913(x97162,x97162),x97161),f292(x97162)),x97163)),x97164)),x97165),f329(f329(f292(x97162),f329(f329(f9(x97161,x97162),x97163),x97165)),f329(f329(f9(x97161,x97162),x97164),x97165))) % 166.45/166.23 [9847]~E(f621(x98475,x98474,x98473,x98472,x98471),f616(x98475,x98474,x98473,x98472,x98471))+P1(f329(f329(f331(f912(x98471,x98471)),f329(f329(f257(x98471,x98471),x98472),x98473)),f309(x98471,x98474)))+~P1(f329(f329(f331(f912(x98471,x98471)),f329(f329(f257(x98471,x98471),x98472),x98473)),f309(x98471,f329(f329(f115(f913(f912(x98471,x98471),a900)),x98474),x98475)))) % 166.45/166.23 [9848]~E(f622(x98485,x98484,x98483,x98482,x98481),f623(x98485,x98484,x98483,x98482,x98481))+P1(f329(f329(f331(f912(x98481,x98481)),f329(f329(f257(x98481,x98481),x98482),x98483)),f309(x98481,x98484)))+~P1(f329(f329(f331(f912(x98481,x98481)),f329(f329(f257(x98481,x98481),x98482),x98483)),f309(x98481,f329(f329(f115(f913(f912(x98481,x98481),a900)),x98484),x98485)))) % 166.45/166.23 [10041]P1(f329(f329(f331(f912(x100411,x100411)),f329(f329(f257(x100411,x100411),x100412),f623(x100415,x100414,x100413,x100412,x100411))),f309(x100411,x100414)))+P1(f329(f329(f331(f912(x100411,x100411)),f329(f329(f257(x100411,x100411),x100412),x100413)),f309(x100411,x100414)))+~P1(f329(f329(f331(f912(x100411,x100411)),f329(f329(f257(x100411,x100411),x100412),x100413)),f309(x100411,f329(f329(f115(f913(f912(x100411,x100411),a900)),x100414),x100415)))) % 166.45/166.23 [10119]P1(f329(f329(f331(f912(x101191,x101191)),f329(f329(f257(x101191,x101191),f616(x101195,x101194,x101193,x101192,x101191)),x101193)),f309(x101191,x101194)))+P1(f329(f329(f331(f912(x101191,x101191)),f329(f329(f257(x101191,x101191),x101192),x101193)),f309(x101191,x101194)))+~P1(f329(f329(f331(f912(x101191,x101191)),f329(f329(f257(x101191,x101191),x101192),x101193)),f309(x101191,f329(f329(f115(f913(f912(x101191,x101191),a900)),x101194),x101195)))) % 166.45/166.23 [10153]P1(f329(f329(f331(f912(x101531,x101531)),f329(f329(f257(x101531,x101531),x101532),x101533)),f309(x101531,x101534)))+P1(f329(f329(f331(f912(x101531,x101531)),f329(f329(f257(x101531,x101531),f621(x101535,x101534,x101533,x101532,x101531)),f616(x101535,x101534,x101533,x101532,x101531))),x101535))+~P1(f329(f329(f331(f912(x101531,x101531)),f329(f329(f257(x101531,x101531),x101532),x101533)),f309(x101531,f329(f329(f115(f913(f912(x101531,x101531),a900)),x101534),x101535)))) % 166.45/166.23 [10154]P1(f329(f329(f331(f912(x101541,x101541)),f329(f329(f257(x101541,x101541),x101542),x101543)),f309(x101541,x101544)))+P1(f329(f329(f331(f912(x101541,x101541)),f329(f329(f257(x101541,x101541),f623(x101545,x101544,x101543,x101542,x101541)),f622(x101545,x101544,x101543,x101542,x101541))),x101545))+~P1(f329(f329(f331(f912(x101541,x101541)),f329(f329(f257(x101541,x101541),x101542),x101543)),f309(x101541,f329(f329(f115(f913(f912(x101541,x101541),a900)),x101544),x101545)))) % 166.45/166.23 [10297]~P1(f329(f329(f331(f912(f906(x102971),f906(x102971))),f329(f329(f257(f906(x102971),f906(x102971)),x102974),x102975)),f161(x102971,x102972)))+~P1(f329(f329(f331(f912(x102971,x102971)),x102973),f329(f175(f912(x102971,x102971)),f329(f329(f184(x102971,x102971),x102974),x102975))))+P1(f329(f329(f262(x102971,x102971,a900),f329(f329(f7(x102971,f913(f912(x102971,x102971),a900),f913(x102971,a900)),f329(f329(f8(f913(x102971,f913(f913(f912(x102971,x102971),a900),a900)),f913(f913(f912(x102971,x102971),a900),f913(x102971,a900)),x102971),f7(x102971,f913(f912(x102971,x102971),a900),a900)),f329(f329(f8(f913(x102971,f912(x102971,x102971)),f913(x102971,f913(f913(f912(x102971,x102971),a900),a900)),x102971),f329(f8(f912(x102971,x102971),f913(f913(f912(x102971,x102971),a900),a900),x102971),f331(f912(x102971,x102971)))),f257(x102971,x102971)))),x102972)),x102973)) % 166.45/166.23 [9747]~P1(f329(f329(f239(a905),x97473),x97472))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),x97473),x97474)),x97471)),f329(f329(f82(a905),f329(f329(f83(a905),x97472),x97474)),x97475)))+P1(f329(f329(f239(a905),x97471),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x97472),x97473)),x97474)),x97475))) % 166.45/166.23 [9748]~P1(f329(f329(f239(a905),x97483),x97482))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),x97483),x97484)),x97481)),f329(f329(f82(a905),f329(f329(f83(a905),x97482),x97484)),x97485)))+P1(f329(f329(f240(a905),x97481),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x97482),x97483)),x97484)),x97485))) % 166.45/166.23 [9765]~P1(f329(f329(f239(a905),x97651),x97654))+P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),x97651),x97652)),x97653)),f329(f329(f82(a905),f329(f329(f83(a905),x97654),x97652)),x97655)))+~P1(f329(f329(f239(a905),x97653),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x97654),x97651)),x97652)),x97655))) % 166.45/166.23 [9766]~P1(f329(f329(f239(a905),x97661),x97664))+P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),x97661),x97662)),x97663)),f329(f329(f82(a905),f329(f329(f83(a905),x97664),x97662)),x97665)))+~P1(f329(f329(f240(a905),x97663),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x97664),x97661)),x97662)),x97665))) % 166.45/166.23 [9882]~P1(f329(f329(f239(a905),x98822),x98821))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),x98821),x98823)),x98824)),f329(f329(f82(a905),f329(f329(f83(a905),x98822),x98823)),x98825)))+P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x98821),x98822)),x98823)),x98824)),x98825)) % 166.45/166.23 [9883]~P1(f329(f329(f239(a905),x98832),x98831))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),x98831),x98833)),x98834)),f329(f329(f82(a905),f329(f329(f83(a905),x98832),x98833)),x98835)))+P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x98831),x98832)),x98833)),x98834)),x98835)) % 166.45/166.23 [9928]~P1(f329(f329(f239(a905),x99284),x99281))+P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),x99281),x99282)),x99283)),f329(f329(f82(a905),f329(f329(f83(a905),x99284),x99282)),x99285)))+~P1(f329(f329(f239(a905),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x99281),x99284)),x99282)),x99283)),x99285)) % 166.45/166.23 [9929]~P1(f329(f329(f239(a905),x99294),x99291))+P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),x99291),x99292)),x99293)),f329(f329(f82(a905),f329(f329(f83(a905),x99294),x99292)),x99295)))+~P1(f329(f329(f240(a905),f329(f329(f82(a905),f329(f329(f83(a905),f329(f329(f23(a905),x99291),x99294)),x99292)),x99293)),x99295)) % 166.45/166.23 [10141]~P10(x101411,x101412,x101415,x101413)+~P1(f329(f329(f331(f912(x101411,x101411)),x101414),x101415))+P1(f329(f329(f262(x101411,x101411,a900),f329(f329(f7(x101411,f913(x101411,x101412),f913(x101411,a900)),f329(f329(f8(f913(x101412,a900),f913(f913(x101411,x101412),f913(x101411,a900)),x101411),f8(x101412,a900,x101411)),f329(f329(f8(x101412,f913(x101412,a900),x101411),a326),x101413))),x101413)),x101414)) % 166.45/166.23 [10162]~P112(x101621)+~P40(x101621,f913(x101622,a900),x101623)+P40(x101621,f913(x101622,a900),f329(f329(f7(x101621,f913(x101622,a900),f913(x101622,a900)),f329(f329(f8(f913(x101622,a900),f913(f913(x101622,a900),f913(x101622,a900)),x101621),f115(f913(x101622,a900))),f329(f329(f7(x101621,f913(x101622,a900),f913(x101622,a900)),f329(f329(f8(f913(x101622,a900),f913(f913(x101622,a900),f913(x101622,a900)),x101621),f115(f913(x101622,a900))),x101623)),x101624))),x101625)) % 166.45/166.23 [7356]~P42(x73564,x73562,x73565,x73566)+P42(f29(x73561,x73563,x73564),x73562,x73565,x73566)+P1(f329(x73561,x73562)) % 166.45/166.23 [7431]~P42(x74312,x74314,x74315,x74316)+P42(f29(x74311,x74312,x74313),x74314,x74315,x74316)+~P1(f329(x74311,x74314)) % 166.45/166.23 [7515]P42(x75153,x75152,x75154,x75155)+~P42(f29(x75151,x75156,x75153),x75152,x75154,x75155)+P1(f329(x75151,x75152)) % 166.45/166.23 [7545]P42(x75451,x75452,x75453,x75454)+~P42(f29(x75455,x75451,x75456),x75452,x75453,x75454)+~P1(f329(x75455,x75452)) % 166.45/166.23 [7914]~P42(x79141,x79143,x79144,x79146)+~P42(x79142,x79146,x79144,x79145)+P42(f32(x79141,x79142),x79143,x79144,x79145) % 166.45/166.23 [7917]P42(x79171,x79172,x79173,x79174)+P42(x79175,x79172,x79173,x79174)+~P42(f29(x79176,x79171,x79175),x79172,x79173,x79174) % 166.45/166.23 [8544]~P18(x85446,x85441,x85442,x85444)+E(f329(f74(x85441,x85441,x85441,f329(x85442,x85443)),f329(x85444,x85445)),f329(f74(x85441,x85441,x85441,f329(x85444,x85445)),f329(x85442,x85443)))+~P1(f329(f63(x85446),x85445)) % 166.45/166.23 [8973]~P24(x89731,x89733,x89735,x89736)+~P24(x89733,x89732,x89734,f329(f312(x89731,x89733,x89735),x89736))+P24(x89731,x89732,f329(f74(x89733,x89732,x89731,x89734),x89735),x89736) % 166.45/166.23 [9550]~P1(f329(f329(x95503,x95502),x95506))+~P1(f329(f329(x95504,x95505),x95502))+P1(f329(f329(f331(x95501),x95502),f302(x95501,x95503,x95504,x95505,x95506))) % 166.45/166.23 [9551]~P1(f329(f329(x95514,x95512),x95516))+~P1(f329(f329(x95513,x95515),x95512))+P1(f329(f329(f331(x95511),x95512),f299(x95511,x95513,x95514,x95515,x95516))) % 166.45/166.23 [9663]E(x96631,x96632)+E(x96633,x96634)+~P1(f329(f329(f331(f912(f906(x96635),f906(x96635))),f329(f329(f257(f906(x96635),f906(x96635)),f329(f329(f154(x96635),x96633),x96631)),f329(f329(f154(x96635),x96634),x96632))),f160(x96635,x96636))) % 166.45/166.23 [9672]~E(x96722,x96724)+P1(f329(f329(f331(f912(f906(x96721),f906(x96721))),f329(f329(f257(f906(x96721),f906(x96721)),f329(f329(f154(x96721),x96722),x96723)),f329(f329(f154(x96721),x96724),x96725))),f148(x96721,x96726)))+~P1(f329(f329(f331(f912(f906(x96721),f906(x96721))),f329(f329(f257(f906(x96721),f906(x96721)),x96723),x96725)),f148(x96721,x96726))) % 166.45/166.23 [9673]~E(x96732,x96734)+P1(f329(f329(f331(f912(f906(x96731),f906(x96731))),f329(f329(f257(f906(x96731),f906(x96731)),f329(f329(f154(x96731),x96732),x96733)),f329(f329(f154(x96731),x96734),x96735))),f150(x96731,x96736)))+~P1(f329(f329(f331(f912(f906(x96731),f906(x96731))),f329(f329(f257(f906(x96731),f906(x96731)),x96733),x96735)),f150(x96731,x96736))) % 166.45/166.23 [9674]~E(x96742,x96744)+P1(f329(f329(f331(f912(f906(x96741),f906(x96741))),f329(f329(f257(f906(x96741),f906(x96741)),f329(f329(f154(x96741),x96742),x96743)),f329(f329(f154(x96741),x96744),x96745))),f160(x96741,x96746)))+~P1(f329(f329(f331(f912(f906(x96741),f906(x96741))),f329(f329(f257(f906(x96741),f906(x96741)),x96743),x96745)),f160(x96741,x96746))) % 166.45/166.23 [9675]~E(x96752,x96754)+P1(f329(f329(f331(f912(f906(x96751),f906(x96751))),f329(f329(f257(f906(x96751),f906(x96751)),f329(f329(f137(x96751),x96752),x96753)),f329(f329(f137(x96751),x96754),x96755))),f160(x96751,x96756)))+~P1(f329(f329(f331(f912(f906(x96751),f906(x96751))),f329(f329(f257(f906(x96751),f906(x96751)),x96753),x96755)),f160(x96751,x96756))) % 166.45/166.23 [9676]~E(x96763,x96765)+P1(f329(f329(f331(f912(f906(x96761),f906(x96761))),f329(f329(f257(f906(x96761),f906(x96761)),f329(f329(f137(x96761),x96762),x96763)),f329(f329(f137(x96761),x96764),x96765))),f160(x96761,x96766)))+~P1(f329(f329(f331(f912(f906(x96761),f906(x96761))),f329(f329(f257(f906(x96761),f906(x96761)),x96762),x96764)),f160(x96761,x96766))) % 166.45/166.23 [9735]E(x97351,x97352)+P1(f329(f329(f331(f912(f906(x97353),f906(x97353))),f329(f329(f257(f906(x97353),f906(x97353)),x97351),x97352)),f160(x97353,x97354)))+~P1(f329(f329(f331(f912(f906(x97353),f906(x97353))),f329(f329(f257(f906(x97353),f906(x97353)),f329(f329(f154(x97353),x97355),x97351)),f329(f329(f154(x97353),x97356),x97352))),f160(x97353,x97354))) % 166.45/166.23 [9886]~E(x98863,x98865)+P1(f329(f329(f331(f912(f906(x98861),f906(x98861))),f329(f329(f257(f906(x98861),f906(x98861)),f329(f329(f137(x98861),x98862),f329(f329(f154(x98861),x98863),f118(x98861)))),f329(f329(f137(x98861),x98864),f329(f329(f154(x98861),x98865),f118(x98861))))),f160(x98861,x98866)))+~P1(f329(f329(f331(f912(f906(x98861),f906(x98861))),f329(f329(f257(f906(x98861),f906(x98861)),x98862),x98864)),f160(x98861,x98866))) % 166.45/166.23 [9932]E(x99321,x99322)+E(x99323,x99324)+~P1(f329(f329(f331(f912(f906(x99325),f906(x99325))),f329(f329(f257(f906(x99325),f906(x99325)),f329(f329(f137(x99325),x99323),f329(f329(f154(x99325),x99321),f118(x99325)))),f329(f329(f137(x99325),x99324),f329(f329(f154(x99325),x99322),f118(x99325))))),f160(x99325,x99326))) % 166.45/166.23 [9957]E(x99571,x99572)+~P1(f329(f329(f331(f912(f906(x99573),f906(x99573))),f329(f329(f257(f906(x99573),f906(x99573)),f329(f329(f137(x99573),x99571),f329(f329(f154(x99573),x99575),f118(x99573)))),f329(f329(f137(x99573),x99572),f329(f329(f154(x99573),x99576),f118(x99573))))),f160(x99573,x99574)))+P1(f329(f329(f331(f912(f906(x99573),f906(x99573))),f329(f329(f257(f906(x99573),f906(x99573)),x99571),x99572)),f160(x99573,x99574))) % 166.45/166.23 [9993]~P1(f329(f329(f331(f912(f913(x99931,a900),f913(x99931,a900))),f329(f329(f257(f913(x99931,a900),f913(x99931,a900)),x99932),x99934)),f321(x99931,x99936)))+~P1(f329(f329(f331(f912(f913(x99931,a900),f913(x99931,a900))),f329(f329(f257(f913(x99931,a900),f913(x99931,a900)),x99933),x99935)),f321(x99931,x99936)))+P1(f329(f329(f331(f912(f913(x99931,a900),f913(x99931,a900))),f329(f329(f257(f913(x99931,a900),f913(x99931,a900)),f329(f329(f115(f913(x99931,a900)),x99932),x99933)),f329(f329(f115(f913(x99931,a900)),x99934),x99935))),f321(x99931,x99936))) % 166.45/166.23 [5762]~E(f329(f329(f137(x57621),x57626),x57623),x57625)+E(f329(f329(f137(x57621),x57622),x57623),f329(f329(f154(x57621),x57624),x57625))+~E(x57622,f329(f329(f154(x57621),x57624),x57626)) % 166.45/166.23 [5763]~E(f329(f329(f137(x57631),x57636),x57633),x57635)+E(f329(f329(f137(x57631),x57632),x57633),f329(f329(f137(x57631),x57634),x57635))+~E(x57632,f329(f329(f137(x57631),x57634),x57636)) % 166.45/166.23 [5765]E(f329(f329(f137(x57651),x57652),x57653),f329(f329(f154(x57651),x57654),x57655))+~E(f329(f329(f154(x57651),x57654),x57656),x57652)+~E(x57655,f329(f329(f137(x57651),x57656),x57653)) % 166.45/166.23 [5767]~E(f329(f329(f137(x57671),x57672),x57676),x57674)+E(f329(f329(f137(x57671),x57672),x57673),f329(f329(f137(x57671),x57674),x57675))+~E(x57673,f329(f329(f137(x57671),x57676),x57675)) % 166.45/166.23 [6909]E(f329(x69091,x69092),f329(x69093,x69092))+~E(f329(f329(f157(x69094,x69095),x69091),x69096),f329(f329(f157(x69094,x69095),x69093),x69096))+~P1(f329(f329(f331(x69094),x69092),f329(f175(x69094),x69096))) % 166.45/166.23 [7287]~P18(x72874,x72875,x72876,x72871)+E(f329(f329(x72871,x72872),x72873),f329(f329(f66(x72874,x72875,x72876),x72873),x72872))+~P1(f329(f63(x72874),x72872)) % 166.45/166.23 [7361]~E(x73612,f329(x73614,x73616))+~P1(f329(f329(f331(x73613),x73616),x73615))+P1(f329(f329(f331(x73611),x73612),f329(f312(x73613,x73611,x73614),x73615))) % 166.45/166.23 [7362]~E(f329(x73624,x73622),x73626)+~P1(f329(f329(f331(x73623),x73626),x73625))+P1(f329(f329(f331(x73621),x73622),f329(f313(x73621,x73623,x73624),x73625))) % 166.45/166.23 [7817]~P32(x78171,x78172,x78174,x78176)+P32(x78171,x78172,f329(f329(f154(x78171),x78173),x78174),f329(f329(f154(x78171),x78175),x78176))+~P1(f329(f329(x78172,x78173),x78175)) % 166.45/166.23 [8846]~P59(x88464,x88465,x88461,x88462,x88466)+E(f329(x88461,f329(x88462,x88463)),x88463)+~P1(f329(f329(f331(x88465),x88463),x88466)) % 166.45/166.23 [9352]~P25(x93522,x93521,x93525,x93524,x93523)+E(f329(f94(x93521,x93522,x93523,f94(x93522,x93521,x93524,x93525)),x93526),f329(x93525,x93526))+~P1(f329(f329(f331(x93522),x93526),x93524)) % 166.45/166.23 [9362]~P24(x93621,x93622,x93623,x93626)+P24(x93621,x93622,f76(x93621,x93622,x93623,x93624,x93625),x93626)+P1(f329(f329(f331(x93622),x93625),f329(f312(x93621,x93622,x93623),x93626))) % 166.45/166.23 [9665]E(x96651,x96652)+E(f329(f192(f906(x96653)),x96654),f329(f192(f906(x96653)),x96655))+~P1(f329(f329(f331(f912(f906(x96653),f906(x96653))),f329(f329(f257(f906(x96653),f906(x96653)),f329(f329(f154(x96653),x96651),x96654)),f329(f329(f154(x96653),x96652),x96655))),f148(x96653,x96656))) % 166.45/166.23 [9729]~P15(x97291,x97292,x97293)+E(f329(f329(f66(x97291,x97292,x97293),x97294),x97295),x97296)+~P1(f329(f68(x97291,x97292,x97293,x97294,x97295),x97296)) % 166.45/166.23 [9738]E(f329(f192(f906(x97381)),x97382),f329(f192(f906(x97381)),x97383))+P1(f329(f329(f331(f912(f906(x97381),f906(x97381))),f329(f329(f257(f906(x97381),f906(x97381)),x97382),x97383)),f148(x97381,x97384)))+~P1(f329(f329(f331(f912(f906(x97381),f906(x97381))),f329(f329(f257(f906(x97381),f906(x97381)),f329(f329(f154(x97381),x97385),x97382)),f329(f329(f154(x97381),x97386),x97383))),f148(x97381,x97384))) % 166.45/166.23 [9759]~P1(f329(f329(f331(f912(x97591,x97591)),f329(f329(f257(x97591,x97591),x97592),x97594)),f309(x97591,x97596)))+P1(f329(f329(f331(f912(f906(x97591),f906(x97591))),f329(f329(f257(f906(x97591),f906(x97591)),f329(f329(f154(x97591),x97592),x97593)),f329(f329(f154(x97591),x97594),x97595))),f309(f906(x97591),f160(x97591,x97596))))+~P1(f329(f329(f331(f912(f906(x97591),f906(x97591))),f329(f329(f257(f906(x97591),f906(x97591)),x97593),x97595)),f309(f906(x97591),f160(x97591,x97596)))) % 166.45/166.23 [9938]~P1(f329(x99382,x99386))+~E(f329(f139(x99381,x99382),x99383),f329(f329(f154(x99381),x99384),x99385))+~P1(f329(f329(f331(x99381),x99386),f329(f175(x99381),f771(x99385,x99384,x99383,x99382,x99381)))) % 166.45/166.23 [9939]~P1(f329(x99394,x99396))+~E(f329(f329(f154(x99391),x99392),x99393),f329(f139(x99391,x99394),x99395))+~P1(f329(f329(f331(x99391),x99396),f329(f175(x99391),f769(x99395,x99394,x99393,x99392,x99391)))) % 166.45/166.23 [10242]~P74(x102422)+E(f329(f329(f6(x102421,x102422),f329(f329(f8(f913(x102423,a900),x102422,x102421),f329(f6(x102423,x102422),x102424)),f329(f329(f8(f913(x102423,a900),f913(x102423,a900),x102421),f267(x102423)),f329(f329(f8(f913(x102423,a900),f913(x102423,a900),x102421),f329(f18(x102423,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102423),a327),f329(f329(f7(x102423,f913(x102423,a900),a900),f331(x102423)),x102425)))),f329(f7(x102423,x102421,a900),f329(f329(f8(x102421,f913(x102421,a900),x102423),a326),x102426)))))),f329(f312(x102423,x102421,x102426),x102425)),f329(f329(f6(x102423,x102422),x102424),x102425))+~P1(f329(f63(x102423),x102425)) % 166.45/166.23 [6965]~P105(x69653)+P1(f329(x69652,x69655))+E(f329(f139(x69651,x69652),f329(f329(f151(x69651,x69653,x69654),x69655),x69656)),f329(f139(x69651,x69652),x69656)) % 166.45/166.23 [6967]P1(f329(x69671,x69672))+~E(f169(x69673,x69671,x69674),f329(f329(f257(f906(x69673),f906(x69673)),x69675),x69676))+~P1(f329(f329(f331(x69673),x69672),f329(f175(x69673),x69675))) % 166.45/166.23 [7010]~P1(f329(x70102,x70106))+~E(f169(x70101,x70102,x70103),f329(f329(f257(f906(x70101),f906(x70101)),x70104),x70105))+~P1(f329(f329(f331(x70101),x70106),f329(f175(x70101),x70105))) % 166.45/166.23 [7681]~P13(x76811,x76812,x76813)+~P1(f329(f63(x76811),x76816))+E(f329(f329(f66(x76811,x76812,x76813),x76814),f329(f329(f311(x76811),x76815),x76816)),f329(f329(f66(x76811,x76812,x76813),f329(f329(x76813,x76815),x76814)),x76816)) % 166.45/166.23 [7732]~P105(x77322)+~P1(f329(f329(f239(x77322),f329(x77323,x77324)),f329(x77323,x77325)))+E(f329(f329(f151(x77321,x77322,x77323),x77324),f329(f329(f154(x77321),x77325),x77326)),f329(f329(f154(x77321),x77324),f329(f329(f154(x77321),x77325),x77326))) % 166.45/166.23 [7846]E(x78461,x78462)+~E(f329(f329(f259(x78463,x78464),x78461),f329(f16(f913(x78464,a900),x78463),x78465)),f329(f329(f259(x78463,x78464),x78462),f329(f16(f913(x78464,a900),x78463),x78465)))+~P1(f329(f329(f331(x78464),x78466),x78465)) % 166.45/166.23 [7919]~P13(x79191,x79192,x79193)+~P1(f329(f63(x79191),x79196))+E(f329(f329(f66(x79191,x79192,x79193),x79194),f329(f329(f311(x79191),x79195),x79196)),f329(f329(x79193,x79195),f329(f329(f66(x79191,x79192,x79193),x79194),x79196))) % 166.45/166.23 [8036]~P15(x80361,x80362,x80363)+~P1(f329(f63(x80361),x80366))+E(f329(f329(f66(x80361,x80362,x80363),f329(f329(x80363,x80364),x80365)),x80366),f329(f329(x80363,x80364),f329(f329(f66(x80361,x80362,x80363),x80365),x80366))) % 166.45/166.23 [8107]~P19(x81072,x81075,x81076,x81071)+~P1(f329(f63(x81072),x81074))+E(f329(x81071,f329(f329(f311(x81072),x81073),x81074)),f329(f74(x81075,x81075,x81075,f329(x81071,x81074)),f329(x81076,x81073))) % 166.45/166.23 [8145]~P105(x81452)+P1(f329(f329(f239(x81452),f329(x81453,x81454)),f329(x81453,x81455)))+E(f329(f329(f151(x81451,x81452,x81453),x81454),f329(f329(f154(x81451),x81455),x81456)),f329(f329(f154(x81451),x81455),f329(f329(f151(x81451,x81452,x81453),x81454),x81456))) % 166.45/166.23 [8288]~E(f329(f192(f906(x82881)),x82885),f329(f192(f906(x82882)),x82886))+~E(f329(f192(f906(x82881)),x82883),f329(f192(f906(x82882)),x82884))+E(f329(f329(f137(f912(x82881,x82882)),f329(f329(f184(x82881,x82882),x82883),x82884)),f329(f329(f184(x82881,x82882),x82885),x82886)),f329(f329(f184(x82881,x82882),f329(f329(f137(x82881),x82883),x82885)),f329(f329(f137(x82882),x82884),x82886))) % 166.45/166.23 [8400]~E(x84002,f329(f312(x84003,x84001,x84004),x84006))+P1(f329(f329(f239(f913(x84001,a900)),x84002),f329(f312(x84003,x84001,x84004),x84005)))+~P1(f329(f329(f239(f913(x84003,a900)),x84006),x84005)) % 166.45/166.23 [8503]~P105(x85035)+E(f329(x85031,x85032),f329(x85031,x85033))+E(f329(f329(f151(x85034,x85035,x85031),x85032),f329(f329(f151(x85034,x85035,x85031),x85033),x85036)),f329(f329(f151(x85034,x85035,x85031),x85033),f329(f329(f151(x85034,x85035,x85031),x85032),x85036))) % 166.45/166.23 [8689]~P1(f329(f329(f331(x86892),x86894),f329(x86896,x86893)))+~P1(f329(f329(f331(x86891),x86893),x86895))+P1(f329(f329(f331(f912(x86891,x86892)),f329(f329(f257(x86891,x86892),x86893),x86894)),f329(f329(f259(x86891,x86892),x86895),x86896))) % 166.45/166.23 [9153]~P74(x91532)+~P24(x91534,x91531,x91535,x91536)+E(f329(f329(f6(x91531,x91532),x91533),f329(f312(x91534,x91531,x91535),x91536)),f329(f329(f6(x91534,x91532),f329(f74(x91531,x91532,x91534,x91533),x91535)),x91536)) % 166.45/166.23 [9154]~P80(x91542)+~P24(x91544,x91541,x91545,x91546)+E(f329(f329(f9(x91541,x91542),x91543),f329(f312(x91544,x91541,x91545),x91546)),f329(f329(f9(x91544,x91542),f329(f74(x91541,x91542,x91544,x91543),x91545)),x91546)) % 166.45/166.23 [9201]~P34(x92012,x92015,x92011,x92013,x92016)+P1(f329(f329(x92011,f329(f329(f167(x92012),x92013),x92014)),f329(f329(f167(x92015),x92016),x92014)))+~P1(f329(f329(f240(a905),x92014),f329(f192(f906(x92015)),x92016))) % 166.45/166.23 [9202]~P34(x92022,x92025,x92021,x92023,x92026)+P1(f329(f329(x92021,f329(f329(f167(x92022),x92023),x92024)),f329(f329(f167(x92025),x92026),x92024)))+~P1(f329(f329(f240(a905),x92024),f329(f192(f906(x92022)),x92023))) % 166.45/166.23 [9213]~E(f329(f312(x92131,x92132,x92133),x92134),x92136)+E(f329(f312(x92131,x92132,x92133),f329(f312(x92132,x92131,f94(x92131,x92132,x92134,x92133)),x92135)),x92135)+~P1(f329(f329(f239(f913(x92132,a900)),x92135),x92136)) % 166.45/166.23 [9419]~P18(x94193,x94191,x94196,x94192)+~P1(f329(f63(x94193),x94194))+E(f329(f74(x94191,x94191,x94191,f329(x94192,f329(f329(f23(f913(x94193,a900)),x94194),f329(f329(f311(x94193),x94195),f191(f913(x94193,a900)))))),f329(x94196,x94195)),f329(x94192,f329(f329(f311(x94193),x94195),x94194))) % 166.45/166.23 [9432]~P1(f329(f329(f331(x94325),x94323),x94326))+P1(f329(f329(f331(x94321),f329(x94322,x94323)),f101(f913(x94321,a900),x94324)))+~P1(f329(f329(f239(f913(x94321,a900)),f329(f312(x94325,x94321,x94322),x94326)),f329(x94324,f329(f312(x94325,x94321,x94322),x94326)))) % 166.45/166.23 [10022]~E(f329(f312(x100222,x100224,x100226),f247(f913(x100222,a900))),f247(f913(x100224,a900)))+~E(f329(f312(x100221,x100223,x100225),f247(f913(x100221,a900))),f247(f913(x100223,a900)))+E(f329(f312(f912(x100221,x100222),f912(x100223,x100224),f263(x100221,x100223,x100222,x100224,x100225,x100226)),f247(f913(f912(x100221,x100222),a900))),f247(f913(f912(x100223,x100224),a900))) % 166.45/166.23 [10069]~P24(x100693,x100694,x100695,f329(x100696,f655(x100696,x100695,x100694,x100693,x100692,x100691)))+P24(x100693,x100694,x100695,f329(f329(f42(x100692,f913(x100693,a900)),x100691),x100696))+E(x100691,f191(f913(x100692,a900))) % 166.45/166.23 [10127]P24(x101276,x101275,x101274,f329(f329(f42(x101272,f913(x101276,a900)),x101271),x101273))+E(x101271,f191(f913(x101272,a900)))+P1(f329(f329(f331(x101272),f655(x101273,x101274,x101275,x101276,x101272,x101271)),x101271)) % 166.45/166.23 [10132]P1(f329(f329(f331(x101321),f590(x101322,x101323,x101324,x101325,x101326,x101321)),x101326))+P1(f329(f329(f239(f913(f912(x101321,x101324),a900)),f329(f329(f259(x101321,x101324),x101326),x101323)),f329(f329(f259(x101321,x101324),x101325),x101322)))+~P1(f329(f329(f239(f913(x101321,a900)),x101326),x101325)) % 166.45/166.23 [10168]P23(x101686,x101685,f329(f329(f311(f904(x101686)),f329(f329(f329(f93(x101686),x101684),x101683),x101682)),f191(f913(f904(x101686),a900))))+~P23(x101686,x101685,f329(f329(f311(f904(x101686)),f329(f329(f329(f93(x101686),x101684),x101683),x101681)),f191(f913(f904(x101686),a900))))+P1(f329(f329(x101681,f445(x101682,x101681,x101683,x101684,x101685,x101686)),f464(x101682,x101681,x101683,x101684,x101685,x101686))) % 166.45/166.23 [10169]P23(x101696,x101695,f329(f329(f311(f904(x101696)),f329(f329(f329(f93(x101696),x101691),x101693),x101692)),f191(f913(f904(x101696),a900))))+~P23(x101696,x101695,f329(f329(f311(f904(x101696)),f329(f329(f329(f93(x101696),x101694),x101693),x101692)),f191(f913(f904(x101696),a900))))+P1(f329(f329(x101691,f472(x101691,x101692,x101693,x101694,x101695,x101696)),f482(x101691,x101692,x101693,x101694,x101695,x101696))) % 166.45/166.23 [10212]~P23(x102121,x102122,f329(f329(f311(f904(x102121)),f329(f329(f329(f93(x102121),x102123),x102124),x102126)),f191(f913(f904(x102121),a900))))+P23(x102121,x102122,f329(f329(f311(f904(x102121)),f329(f329(f329(f93(x102121),x102123),x102124),x102125)),f191(f913(f904(x102121),a900))))+~P1(f329(f329(x102125,f445(x102125,x102126,x102124,x102123,x102122,x102121)),f464(x102125,x102126,x102124,x102123,x102122,x102121))) % 166.45/166.23 [10213]~P23(x102131,x102132,f329(f329(f311(f904(x102131)),f329(f329(f329(f93(x102131),x102136),x102134),x102135)),f191(f913(f904(x102131),a900))))+P23(x102131,x102132,f329(f329(f311(f904(x102131)),f329(f329(f329(f93(x102131),x102133),x102134),x102135)),f191(f913(f904(x102131),a900))))+~P1(f329(f329(x102136,f472(x102133,x102135,x102134,x102136,x102132,x102131)),f482(x102133,x102135,x102134,x102136,x102132,x102131))) % 166.45/166.23 [10255]~P1(f329(f329(f239(f913(x102552,a900)),f329(x102554,f590(x102556,x102554,x102552,x102555,x102553,x102551))),f329(x102556,f590(x102556,x102554,x102552,x102555,x102553,x102551))))+~P1(f329(f329(f239(f913(x102551,a900)),x102553),x102555))+P1(f329(f329(f239(f913(f912(x102551,x102552),a900)),f329(f329(f259(x102551,x102552),x102553),x102554)),f329(f329(f259(x102551,x102552),x102555),x102556))) % 166.45/166.23 [7868]~P1(f329(x78681,x78685))+~P1(f329(x78686,x78684))+P1(f329(x78681,f329(f261(x78682,x78683),f329(f329(f257(x78682,x78683),x78684),x78685)))) % 166.45/166.23 [7869]~P1(f329(x78691,x78694))+~P1(f329(x78696,x78695))+P1(f329(x78691,f329(f256(x78692,x78693),f329(f329(f257(x78692,x78693),x78694),x78695)))) % 166.45/166.23 [7924]~P1(f329(f329(x79244,x79246),x79245))+~P1(f329(f329(f331(x79241),x79246),x79243))+P1(f329(f329(f329(f41(x79241,f913(x79242,a900)),x79243),x79244),x79245)) % 166.45/166.23 [8240]~P1(f329(f329(f331(x82401),x82402),f329(x82405,x82406)))+~P1(f329(f329(f331(x82403),x82406),x82404))+P1(f329(f329(f331(x82401),x82402),f329(f329(f41(x82403,f913(x82401,a900)),x82404),x82405))) % 166.45/166.23 [8281]P1(f329(f329(x82811,x82812),x82813))+~P1(f329(f329(x82814,x82812),x82813))+~P1(f329(f329(f239(f913(x82815,f913(x82816,a900))),x82814),x82811)) % 166.45/166.23 [8426]P1(f329(f329(x84261,x84262),x84263))+~P1(f329(f329(f331(x84264),x84262),x84265))+~P1(f329(f329(f329(f42(x84264,f913(x84266,a900)),x84265),x84261),x84263)) % 166.45/166.23 [8560]P1(f329(f329(f331(x85601),x85602),f329(x85603,x85604)))+~P1(f329(f329(f331(x85605),x85604),x85606))+~P1(f329(f329(f331(x85601),x85602),f329(f329(f42(x85605,f913(x85601,a900)),x85606),x85603))) % 166.45/166.23 [8828]~P10(x88284,x88285,x88286,x88281)+E(f329(x88281,x88282),f329(x88281,x88283))+~P1(f329(f329(f331(f912(x88284,x88284)),f329(f329(f257(x88284,x88284),x88282),x88283)),x88286)) % 166.45/166.23 [8859]P1(f329(f329(f239(f913(x88591,a900)),x88592),f329(x88593,x88594)))+~P1(f329(f329(f331(x88595),x88594),x88596))+~P1(f329(f329(f239(f913(x88591,a900)),x88592),f329(f329(f42(x88595,f913(x88591,a900)),x88596),x88593))) % 166.45/166.23 [8890]~P57(x88903,x88904,f329(f289(x88904,x88903),x88905))+E(x88901,f191(f913(x88902,a900)))+E(f329(f329(f42(x88902,f913(x88903,a900)),x88901),f329(f329(f8(f913(x88904,a900),f913(x88903,a900),x88902),f288(x88904,x88903,x88905)),x88906)),f329(f288(x88904,x88903,x88905),f329(f329(f42(x88902,f913(x88904,a900)),x88901),x88906))) % 166.45/166.23 [8964]P1(f329(f329(f331(x89641),x89642),f329(f288(x89643,x89641,x89644),x89645)))+~P1(f329(f329(f331(x89643),x89646),x89645))+~P1(f329(f329(f331(f912(x89643,x89641)),f329(f329(f257(x89643,x89641),x89646),x89642)),x89644)) % 166.45/166.23 [9286]P1(f329(f329(f239(f913(x92861,a900)),f329(f288(x92862,x92861,x92863),x92864)),f329(f288(x92862,x92861,x92865),x92866)))+~P1(f329(f329(f239(f913(x92862,a900)),x92864),x92866))+~P1(f329(f329(f239(f913(f912(x92862,x92861),a900)),x92863),x92865)) % 166.45/166.23 [9469]~P1(f329(f329(f331(x94692),x94696),x94694))+~P1(f329(f329(f239(f913(x94691,a900)),x94693),x94695))+P1(f329(f329(f239(f913(f912(x94691,x94692),a900)),f329(f329(f259(x94691,x94692),x94693),f329(f16(f913(x94692,a900),x94691),x94694))),f329(f329(f259(x94691,x94692),x94695),f329(f16(f913(x94692,a900),x94691),x94694)))) % 166.45/166.23 [9481]~P34(x94811,x94812,x94813,x94815,x94816)+P1(f329(f329(f262(x94811,x94812,a900),x94813),x94814))+~P1(f329(f329(f331(f912(x94811,x94812)),x94814),f329(f175(f912(x94811,x94812)),f329(f329(f184(x94811,x94812),x94815),x94816)))) % 166.45/166.23 [9620]~E(x96203,x96205)+P1(f329(f329(f331(f912(f906(x96201),f906(x96201))),f329(f329(f257(f906(x96201),f906(x96201)),f329(f329(f154(x96201),x96202),x96203)),f329(f329(f154(x96201),x96204),x96205))),f160(x96201,x96206)))+~P1(f329(f329(f331(f912(x96201,x96201)),f329(f329(f257(x96201,x96201),x96202),x96204)),x96206)) % 166.45/166.23 [9626]~E(f329(f192(f906(x96261)),x96263),f329(f192(f906(x96261)),x96265))+P1(f329(f329(f331(f912(f906(x96261),f906(x96261))),f329(f329(f257(f906(x96261),f906(x96261)),f329(f329(f154(x96261),x96262),x96263)),f329(f329(f154(x96261),x96264),x96265))),f148(x96261,x96266)))+~P1(f329(f329(f331(f912(x96261,x96261)),f329(f329(f257(x96261,x96261),x96262),x96264)),x96266)) % 166.45/166.23 [9657]P1(f329(f329(f331(f912(x96571,x96571)),f329(f329(f257(x96571,x96571),x96572),x96573)),f329(f329(f186(f912(x96571,x96571),a900),f329(a117,x96574)),x96575)))+~P1(f329(f329(f331(f912(x96571,x96571)),f329(f329(f257(x96571,x96571),x96576),x96573)),x96575))+~P1(f329(f329(f331(f912(x96571,x96571)),f329(f329(f257(x96571,x96571),x96572),x96576)),f329(f329(f186(f912(x96571,x96571),a900),x96574),x96575))) % 166.45/166.23 [9658]P1(f329(f329(f331(f912(x96581,x96581)),f329(f329(f257(x96581,x96581),x96582),x96583)),f329(f329(f186(f912(x96581,x96581),a900),f329(a117,x96584)),x96585)))+~P1(f329(f329(f331(f912(x96581,x96581)),f329(f329(f257(x96581,x96581),x96582),x96586)),x96585))+~P1(f329(f329(f331(f912(x96581,x96581)),f329(f329(f257(x96581,x96581),x96586),x96583)),f329(f329(f186(f912(x96581,x96581),a900),x96584),x96585))) % 166.45/166.23 [9661]~P1(f329(f329(f331(x96614),x96615),x96616))+P1(f329(f329(f239(f913(x96611,a900)),x96612),x96613))+~P1(f329(f329(f239(f913(f912(x96611,x96614),a900)),f329(f329(f259(x96611,x96614),x96612),f329(f16(f913(x96614,a900),x96611),x96616))),f329(f329(f259(x96611,x96614),x96613),f329(f16(f913(x96614,a900),x96611),x96616)))) % 166.45/166.23 [9706]E(x97061,x97062)+~P1(f329(f329(f331(f912(f906(x97063),f906(x97063))),f329(f329(f257(f906(x97063),f906(x97063)),f329(f329(f154(x97063),x97061),x97065)),f329(f329(f154(x97063),x97062),x97066))),f148(x97063,x97064)))+P1(f329(f329(f331(f912(x97063,x97063)),f329(f329(f257(x97063,x97063),x97061),x97062)),x97064)) % 166.45/166.23 [9707]E(x97071,x97072)+~P1(f329(f329(f331(f912(f906(x97073),f906(x97073))),f329(f329(f257(f906(x97073),f906(x97073)),f329(f329(f154(x97073),x97071),x97075)),f329(f329(f154(x97073),x97072),x97076))),f150(x97073,x97074)))+P1(f329(f329(f331(f912(x97073,x97073)),f329(f329(f257(x97073,x97073),x97071),x97072)),x97074)) % 166.45/166.23 [9708]E(x97081,x97082)+~P1(f329(f329(f331(f912(f906(x97083),f906(x97083))),f329(f329(f257(f906(x97083),f906(x97083)),f329(f329(f154(x97083),x97081),x97085)),f329(f329(f154(x97083),x97082),x97086))),f160(x97083,x97084)))+P1(f329(f329(f331(f912(x97083,x97083)),f329(f329(f257(x97083,x97083),x97081),x97082)),x97084)) % 166.45/166.23 [9746]P1(f329(f329(f331(f912(f906(x97461),f906(x97461))),f329(f329(f257(f906(x97461),f906(x97461)),f329(f329(f154(x97461),x97462),x97463)),f329(f329(f154(x97461),x97464),x97465))),f161(x97461,x97466)))+~P1(f329(f329(f331(f912(f906(x97461),f906(x97461))),f329(f329(f257(f906(x97461),f906(x97461)),x97463),x97465)),f161(x97461,x97466)))+~P1(f329(f329(f331(f912(x97461,x97461)),f329(f329(f257(x97461,x97461),x97462),x97464)),x97466)) % 166.45/166.23 [9763]P1(f329(x97631,x97632))+~P1(f329(x97631,f428(x97631,x97633,x97634,x97635,x97636)))+~P1(f329(f329(f331(x97636),x97632),f329(f329(f41(x97635,f913(x97636,a900)),x97634),x97633))) % 166.45/166.23 [9768]~P1(f329(f329(f331(f912(f906(x97681),f906(x97681))),f329(f329(f257(f906(x97681),f906(x97681)),f329(f329(f154(x97681),x97682),x97685)),f329(f329(f154(x97681),x97683),x97686))),f148(x97681,x97684)))+P1(f329(f329(f331(f912(f906(x97681),f906(x97681))),f329(f329(f257(f906(x97681),f906(x97681)),x97685),x97686)),f148(x97681,x97684)))+P1(f329(f329(f331(f912(x97681,x97681)),f329(f329(f257(x97681,x97681),x97682),x97683)),x97684)) % 166.45/166.23 [9769]~P1(f329(f329(f331(f912(f906(x97691),f906(x97691))),f329(f329(f257(f906(x97691),f906(x97691)),f329(f329(f154(x97691),x97692),x97695)),f329(f329(f154(x97691),x97693),x97696))),f150(x97691,x97694)))+P1(f329(f329(f331(f912(f906(x97691),f906(x97691))),f329(f329(f257(f906(x97691),f906(x97691)),x97695),x97696)),f150(x97691,x97694)))+P1(f329(f329(f331(f912(x97691,x97691)),f329(f329(f257(x97691,x97691),x97692),x97693)),x97694)) % 166.45/166.23 [9770]~P1(f329(f329(f331(f912(f906(x97701),f906(x97701))),f329(f329(f257(f906(x97701),f906(x97701)),f329(f329(f154(x97701),x97702),x97705)),f329(f329(f154(x97701),x97703),x97706))),f160(x97701,x97704)))+P1(f329(f329(f331(f912(f906(x97701),f906(x97701))),f329(f329(f257(f906(x97701),f906(x97701)),x97705),x97706)),f160(x97701,x97704)))+P1(f329(f329(f331(f912(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97703)),x97704)) % 166.45/166.23 [9858]P1(f329(x98581,x98582))+P1(f329(f329(f331(x98583),f429(x98581,x98584,x98585,x98583,x98586)),x98585))+~P1(f329(f329(f331(x98586),x98582),f329(f329(f41(x98583,f913(x98586,a900)),x98585),x98584))) % 166.45/166.23 [9869]~E(x98692,x98694)+P1(f329(f329(f331(f912(f906(x98691),f906(x98691))),f329(f329(f257(f906(x98691),f906(x98691)),f329(f329(f137(x98691),x98692),f329(f329(f154(x98691),x98693),f118(x98691)))),f329(f329(f137(x98691),x98694),f329(f329(f154(x98691),x98695),f118(x98691))))),f160(x98691,x98696)))+~P1(f329(f329(f331(f912(x98691,x98691)),f329(f329(f257(x98691,x98691),x98693),x98695)),x98696)) % 166.45/166.23 [9947]E(x99471,x99472)+~P1(f329(f329(f331(f912(f906(x99473),f906(x99473))),f329(f329(f257(f906(x99473),f906(x99473)),f329(f329(f137(x99473),x99475),f329(f329(f154(x99473),x99471),f118(x99473)))),f329(f329(f137(x99473),x99476),f329(f329(f154(x99473),x99472),f118(x99473))))),f160(x99473,x99474)))+P1(f329(f329(f331(f912(x99473,x99473)),f329(f329(f257(x99473,x99473),x99471),x99472)),x99474)) % 166.45/166.23 [9976]~P1(f329(f329(f331(f912(f906(x99761),f906(x99761))),f329(f329(f257(f906(x99761),f906(x99761)),f329(f329(f137(x99761),x99765),f329(f329(f154(x99761),x99762),f118(x99761)))),f329(f329(f137(x99761),x99766),f329(f329(f154(x99761),x99763),f118(x99761))))),f160(x99761,x99764)))+P1(f329(f329(f331(f912(f906(x99761),f906(x99761))),f329(f329(f257(f906(x99761),f906(x99761)),x99765),x99766)),f160(x99761,x99764)))+P1(f329(f329(f331(f912(x99761,x99761)),f329(f329(f257(x99761,x99761),x99762),x99763)),x99764)) % 166.45/166.23 [9994]P1(f329(x99941,x99942))+P1(f329(f329(f331(x99943),f428(x99941,x99944,x99945,x99946,x99943)),f329(x99944,f429(x99941,x99944,x99945,x99946,x99943))))+~P1(f329(f329(f331(x99943),x99942),f329(f329(f41(x99946,f913(x99943,a900)),x99945),x99944))) % 166.45/166.23 [8985]~P15(x89853,x89854,x89851)+~P1(f329(f63(x89853),x89856))+E(f329(f329(x89851,x89852),f329(f329(f66(x89853,x89854,x89851),x89855),f329(f329(f23(f913(x89853,a900)),x89856),f329(f329(f311(x89853),x89852),f191(f913(x89853,a900)))))),f329(f329(f66(x89853,x89854,x89851),x89855),f329(f329(f311(x89853),x89852),x89856))) % 166.45/166.23 [9295]~P1(f329(f329(f331(x92955),x92953),x92956))+P1(f329(f329(f239(f913(x92951,a900)),f329(x92952,x92953)),x92954))+~P1(f329(f329(f239(f913(x92951,a900)),f329(f329(f41(x92955,f913(x92951,a900)),x92956),x92952)),x92954)) % 166.45/166.23 [9921]~P7(x99211,x99215,x99214)+P1(f329(f329(f331(f912(x99211,x99211)),f329(f329(f257(x99211,x99211),x99212),x99213)),x99214))+~P1(f329(f329(f331(x99211),x99216),f329(f329(f106(f913(x99211,a900)),f329(f288(x99211,x99211,x99214),f329(f329(f311(x99211),x99212),f191(f913(x99211,a900))))),f329(f288(x99211,x99211,x99214),f329(f329(f311(x99211),x99213),f191(f913(x99211,a900))))))) % 166.45/166.23 [8725]~P116(x87252)+~E(f329(f329(f82(x87252),f329(f329(f83(x87252),x87254),x87255)),x87251),f329(f329(f82(x87252),f329(f329(f83(x87252),x87253),x87255)),x87256))+E(x87251,f329(f329(f82(x87252),f329(f329(f83(x87252),f329(f329(f23(x87252),x87253),x87254)),x87255)),x87256)) % 166.45/166.23 [8726]~P116(x87261)+~E(f329(f329(f82(x87261),f329(f329(f83(x87261),x87262),x87264)),x87265),f329(f329(f82(x87261),f329(f329(f83(x87261),x87263),x87264)),x87266))+E(f329(f329(f82(x87261),f329(f329(f83(x87261),f329(f329(f23(x87261),x87262),x87263)),x87264)),x87265),x87266) % 166.45/166.23 [8893]~P116(x88931)+E(f329(f329(f82(x88931),f329(f329(f83(x88931),x88932),x88933)),x88934),f329(f329(f82(x88931),f329(f329(f83(x88931),x88935),x88933)),x88936))+~E(x88936,f329(f329(f82(x88931),f329(f329(f83(x88931),f329(f329(f23(x88931),x88932),x88935)),x88933)),x88934)) % 166.45/166.23 [8894]~P116(x88941)+E(f329(f329(f82(x88941),f329(f329(f83(x88941),x88942),x88943)),x88944),f329(f329(f82(x88941),f329(f329(f83(x88941),x88945),x88943)),x88946))+~E(f329(f329(f82(x88941),f329(f329(f83(x88941),f329(f329(f23(x88941),x88942),x88945)),x88943)),x88944),x88946) % 166.45/166.23 [9225]~P1(f329(f329(x92254,x92255),x92256))+~P1(f329(f329(x92253,x92255),x92256))+P1(f329(f329(f329(f329(f106(f913(x92251,f913(x92252,a900))),x92253),x92254),x92255),x92256)) % 166.45/166.23 [9489]P1(f329(f329(x94891,x94892),x94893))+P1(f329(f329(x94894,x94892),x94893))+~P1(f329(f329(f329(f329(f115(f913(x94895,f913(x94896,a900))),x94894),x94891),x94892),x94893)) % 166.45/166.23 [9783]~P137(x97831)+~P1(f329(f329(f239(x97831),f329(f329(f82(x97831),f329(f329(f83(x97831),x97834),x97835)),x97832)),f329(f329(f82(x97831),f329(f329(f83(x97831),x97833),x97835)),x97836)))+P1(f329(f329(f239(x97831),x97832),f329(f329(f82(x97831),f329(f329(f83(x97831),f329(f329(f23(x97831),x97833),x97834)),x97835)),x97836))) % 166.45/166.23 [9784]~P137(x97841)+~P1(f329(f329(f240(x97841),f329(f329(f82(x97841),f329(f329(f83(x97841),x97844),x97845)),x97842)),f329(f329(f82(x97841),f329(f329(f83(x97841),x97843),x97845)),x97846)))+P1(f329(f329(f240(x97841),x97842),f329(f329(f82(x97841),f329(f329(f83(x97841),f329(f329(f23(x97841),x97843),x97844)),x97845)),x97846))) % 166.45/166.23 [9807]~P137(x98071)+P1(f329(f329(f239(x98071),f329(f329(f82(x98071),f329(f329(f83(x98071),x98072),x98073)),x98074)),f329(f329(f82(x98071),f329(f329(f83(x98071),x98075),x98073)),x98076)))+~P1(f329(f329(f239(x98071),x98074),f329(f329(f82(x98071),f329(f329(f83(x98071),f329(f329(f23(x98071),x98075),x98072)),x98073)),x98076))) % 166.45/166.23 [9808]~P137(x98081)+P1(f329(f329(f240(x98081),f329(f329(f82(x98081),f329(f329(f83(x98081),x98082),x98083)),x98084)),f329(f329(f82(x98081),f329(f329(f83(x98081),x98085),x98083)),x98086)))+~P1(f329(f329(f240(x98081),x98084),f329(f329(f82(x98081),f329(f329(f83(x98081),f329(f329(f23(x98081),x98085),x98082)),x98083)),x98086))) % 166.45/166.23 [9913]~P137(x99131)+~P1(f329(f329(f239(x99131),f329(f329(f82(x99131),f329(f329(f83(x99131),x99132),x99134)),x99135)),f329(f329(f82(x99131),f329(f329(f83(x99131),x99133),x99134)),x99136)))+P1(f329(f329(f239(x99131),f329(f329(f82(x99131),f329(f329(f83(x99131),f329(f329(f23(x99131),x99132),x99133)),x99134)),x99135)),x99136)) % 166.45/166.23 [9914]~P137(x99141)+~P1(f329(f329(f240(x99141),f329(f329(f82(x99141),f329(f329(f83(x99141),x99142),x99144)),x99145)),f329(f329(f82(x99141),f329(f329(f83(x99141),x99143),x99144)),x99146)))+P1(f329(f329(f240(x99141),f329(f329(f82(x99141),f329(f329(f83(x99141),f329(f329(f23(x99141),x99142),x99143)),x99144)),x99145)),x99146)) % 166.45/166.23 [9959]~P137(x99591)+P1(f329(f329(f239(x99591),f329(f329(f82(x99591),f329(f329(f83(x99591),x99592),x99593)),x99594)),f329(f329(f82(x99591),f329(f329(f83(x99591),x99595),x99593)),x99596)))+~P1(f329(f329(f239(x99591),f329(f329(f82(x99591),f329(f329(f83(x99591),f329(f329(f23(x99591),x99592),x99595)),x99593)),x99594)),x99596)) % 166.45/166.23 [9960]~P137(x99601)+P1(f329(f329(f240(x99601),f329(f329(f82(x99601),f329(f329(f83(x99601),x99602),x99603)),x99604)),f329(f329(f82(x99601),f329(f329(f83(x99601),x99605),x99603)),x99606)))+~P1(f329(f329(f240(x99601),f329(f329(f82(x99601),f329(f329(f83(x99601),f329(f329(f23(x99601),x99602),x99605)),x99603)),x99604)),x99606)) % 166.45/166.23 [10120]~P74(x101202)+~P1(f329(f63(x101201),x101206))+E(f329(f329(f6(x101201,x101202),f329(f329(f18(x101201,x101202,x101202),f329(f329(f18(x101201,x101202,f913(x101202,x101202)),f329(f329(f8(a900,f913(x101202,f913(x101202,x101202)),x101201),f99(x101202)),x101203)),x101204)),x101205)),x101206),f329(f329(f82(x101202),f329(f329(f6(x101201,x101202),x101204),f329(f329(f106(f913(x101201,a900)),x101206),f329(f267(x101201),x101203)))),f329(f329(f6(x101201,x101202),x101205),f329(f329(f106(f913(x101201,a900)),x101206),f329(f81(f913(x101201,a900)),f329(f267(x101201),x101203)))))) % 166.45/166.23 [10179]P1(f329(f329(f331(x101792),x101794),x101796))+P1(f329(f329(f331(x101792),x101795),x101796))+E(f329(f313(x101791,x101792,f329(f329(f7(x101791,x101792,x101792),f329(f329(f7(x101791,x101792,f913(x101792,x101792)),f329(f329(f8(a900,f913(x101792,f913(x101792,x101792)),x101791),f99(x101792)),f329(f329(f7(x101791,f913(x101791,a900),a900),f331(x101791)),x101793))),x101794)),x101795)),x101796),f191(f913(x101791,a900))) % 166.45/166.23 [10180]P1(f329(f329(f331(x101802),x101805),x101806))+~P1(f329(f329(f331(x101802),x101804),x101806))+E(f329(f313(x101801,x101802,f329(f329(f7(x101801,x101802,x101802),f329(f329(f7(x101801,x101802,f913(x101802,x101802)),f329(f329(f8(a900,f913(x101802,f913(x101802,x101802)),x101801),f99(x101802)),f329(f329(f7(x101801,f913(x101801,a900),a900),f331(x101801)),x101803))),x101804)),x101805)),x101806),x101803) % 166.45/166.23 [10181]P1(f329(f329(f331(x101812),x101814),x101816))+~P1(f329(f329(f331(x101812),x101815),x101816))+E(f329(f313(x101811,x101812,f329(f329(f7(x101811,x101812,x101812),f329(f329(f7(x101811,x101812,f913(x101812,x101812)),f329(f329(f8(a900,f913(x101812,f913(x101812,x101812)),x101811),f99(x101812)),f329(f329(f7(x101811,f913(x101811,a900),a900),f331(x101811)),x101813))),x101814)),x101815)),x101816),f329(f81(f913(x101811,a900)),x101813)) % 166.45/166.23 [10182]~P1(f329(f329(f331(x101822),x101824),x101826))+~P1(f329(f329(f331(x101822),x101825),x101826))+E(f329(f313(x101821,x101822,f329(f329(f7(x101821,x101822,x101822),f329(f329(f7(x101821,x101822,f913(x101822,x101822)),f329(f329(f8(a900,f913(x101822,f913(x101822,x101822)),x101821),f99(x101822)),f329(f329(f7(x101821,f913(x101821,a900),a900),f331(x101821)),x101823))),x101824)),x101825)),x101826),f247(f913(x101821,a900))) % 166.45/166.23 [10335]P23(x103351,x103352,f329(f329(f311(f904(x103351)),f329(f329(f329(f93(x103351),f329(x103353,x103354)),f329(a26,x103354)),f329(x103355,x103354))),f191(f913(f904(x103351),a900))))+~P1(f329(f329(f331(a903),x103354),x103356))+~P23(x103351,f329(f329(f115(f913(f904(x103351),a900)),x103352),f329(f312(a903,f904(x103351),f329(f329(f18(a903,f913(x103351,f913(a901,a900)),f904(x103351)),f329(f329(f18(a903,a902,f913(f913(x103351,f913(a901,a900)),f904(x103351))),f329(f329(f8(f913(x103351,f913(a901,a900)),f913(a902,f913(f913(x103351,f913(a901,a900)),f904(x103351))),a903),f93(x103351)),x103353)),a26)),x103355)),x103356)),f329(f312(a903,f904(x103351),f329(f329(f18(a903,f913(x103351,f913(a901,a900)),f904(x103351)),f329(f329(f18(a903,a902,f913(f913(x103351,f913(a901,a900)),f904(x103351))),f329(f329(f8(f913(x103351,f913(a901,a900)),f913(a902,f913(f913(x103351,f913(a901,a900)),f904(x103351))),a903),f93(x103351)),x103353)),f329(f329(f8(f909(a902),a902,a903),f236(a902)),a27))),x103355)),x103356)) % 166.45/166.23 [8755]E(x87551,x87552)+~P59(x87554,x87555,x87553,x87556,x87557)+~E(f329(x87553,x87551),f329(x87553,x87552)) % 166.45/166.23 [8784]~P9(x87846,x87845,x87847,x87844,x87841)+E(f329(f329(x87841,x87842),x87843),x87844)+P1(f329(f63(x87845),x87843)) % 166.45/166.23 [9648]P44(x96481,x96482,x96483,x96484,x96485,f329(f329(x96483,x96486),x96487))+~E(f329(f329(x96483,x96486),x96487),x96484)+~E(x96485,f191(f913(x96481,a900))) % 166.45/166.23 [9830]~P1(f329(x98306,x98303))+~P1(f329(f329(f331(f912(x98302,x98302)),f329(f329(f257(x98302,x98302),x98304),x98305)),f329(x98307,x98303)))+P1(f329(f329(f331(f912(f912(x98301,x98302),f912(x98301,x98302))),f329(f329(f257(f912(x98301,x98302),f912(x98301,x98302)),f329(f329(f257(x98301,x98302),x98303),x98304)),f329(f329(f257(x98301,x98302),x98303),x98305))),f283(x98301,x98302,x98306,x98307))) % 166.45/166.23 [10245]~P44(x102452,x102457,x102453,x102456,x102451,f329(f329(x102453,x102455),x102454))+E(f329(f329(x102453,f629(x102454,x102455,x102451,x102456,x102453,x102457,x102452)),f638(x102454,x102455,x102451,x102456,x102453,x102457,x102452)),f329(f329(x102453,x102455),x102454))+E(x102451,f191(f913(x102452,a900))) % 166.45/166.23 [10246]~P44(x102467,x102466,x102461,x102464,x102465,f329(f329(x102461,x102462),x102463))+E(f329(f329(x102461,f629(x102463,x102462,x102465,x102464,x102461,x102466,x102467)),f638(x102463,x102462,x102465,x102464,x102461,x102466,x102467)),f329(f329(x102461,x102462),x102463))+E(f329(f329(x102461,x102462),x102463),x102464) % 166.45/166.23 [9330]~P34(x93301,x93302,x93303,x93305,x93307)+P34(x93301,x93302,x93303,f329(f329(f154(x93301),x93304),x93305),f329(f329(f154(x93302),x93306),x93307))+~P1(f329(f329(x93303,x93304),x93306)) % 166.45/166.23 [9345]P34(x93451,x93452,x93453,x93454,x93455)+~P34(x93451,x93452,x93453,f329(f329(f137(x93451),x93456),x93454),f329(f329(f137(x93452),x93457),x93455))+~E(f329(f192(f906(x93451)),x93456),f329(f192(f906(x93452)),x93457)) % 166.45/166.23 [9346]P34(x93461,x93462,x93463,x93464,x93465)+~P34(x93461,x93462,x93463,f329(f329(f137(x93461),x93464),x93466),f329(f329(f137(x93462),x93465),x93467))+~E(f329(f192(f906(x93461)),x93464),f329(f192(f906(x93462)),x93465)) % 166.45/166.23 [9554]~P34(x95541,x95542,x95543,x95545,x95547)+~P34(x95541,x95542,x95543,x95544,x95546)+P34(x95541,x95542,x95543,f329(f329(f137(x95541),x95544),x95545),f329(f329(f137(x95542),x95546),x95547)) % 166.45/166.23 [9904]~P1(f329(f68(x99041,x99044,x99045,x99046,x99043),x99047))+P1(f329(f68(x99041,x99044,x99045,x99046,f329(f329(f311(x99041),x99042),x99043)),f329(f329(x99045,x99042),x99047)))+P1(f329(f329(f331(x99041),x99042),x99043)) % 166.45/166.23 [10270]~P44(x102702,x102707,x102706,x102705,x102701,f329(f329(x102706,x102704),x102703))+E(x102701,f191(f913(x102702,a900)))+P1(f329(f329(f331(x102702),f629(x102703,x102704,x102701,x102705,x102706,x102707,x102702)),x102701)) % 166.45/166.23 [10271]~P44(x102715,x102717,x102711,x102714,x102716,f329(f329(x102711,x102712),x102713))+E(f329(f329(x102711,x102712),x102713),x102714)+P1(f329(f329(f331(x102715),f629(x102713,x102712,x102716,x102714,x102711,x102717,x102715)),x102716)) % 166.45/166.23 [9011]~P20(x90114,x90115,x90116,x90117,x90111)+~P1(f329(f63(x90115),x90113))+E(f329(f329(x90111,x90112),x90113),f329(f329(f329(f67(x90114,x90115,x90116),x90112),x90117),x90113)) % 166.45/166.23 [9012]~P9(x90124,x90125,x90126,x90127,x90121)+~P1(f329(f63(x90125),x90123))+E(f329(f329(x90121,x90122),x90123),f329(f329(f329(f67(x90124,x90125,x90126),x90122),x90127),x90123)) % 166.45/166.23 [9613]~P23(x96131,x96132,f329(f329(f311(f904(x96131)),f329(f329(f329(f93(x96131),x96133),x96134),x96137)),f191(f913(f904(x96131),a900))))+P23(x96131,x96132,f329(f329(f311(f904(x96131)),f329(f329(f329(f93(x96131),x96133),f32(x96134,x96135)),x96136)),f191(f913(f904(x96131),a900))))+~P23(x96131,x96132,f329(f329(f311(f904(x96131)),f329(f329(f329(f93(x96131),x96137),x96135),x96136)),f191(f913(f904(x96131),a900)))) % 166.45/166.23 [9802]~P22(x98023,x98024,x98025,x98027,x98026,x98021)+~P1(f329(f63(x98024),x98022))+E(f329(x98021,x98022),f329(f329(f329(f67(x98023,x98024,x98025),x98026),x98027),x98022)) % 166.45/166.23 [9954]P44(x99541,x99542,x99543,x99544,x99545,f329(f329(x99543,x99546),x99547))+~P44(x99541,x99542,x99543,x99544,f329(f329(f23(f913(x99541,a900)),x99545),f329(f329(f311(x99541),x99546),f191(f913(x99541,a900)))),x99547)+~P1(f329(f329(f331(x99541),x99546),x99545)) % 166.45/166.23 [10214]~P23(x102141,x102142,f329(f329(f311(f904(x102141)),f329(f329(f329(f93(x102141),f95(x102141,x102143,x102144)),x102145),x102147)),f191(f913(f904(x102141),a900))))+P23(x102141,x102142,f329(f329(f311(f904(x102141)),f329(f329(f329(f93(x102141),x102143),f29(x102144,x102145,x102146)),x102147)),f191(f913(f904(x102141),a900))))+~P23(x102141,x102142,f329(f329(f311(f904(x102141)),f329(f329(f329(f93(x102141),f95(x102141,x102143,f329(f74(a900,a900,a901,a324),x102144))),x102146),x102147)),f191(f913(f904(x102141),a900)))) % 166.45/166.23 [10293]P1(f329(f329(x102937,f811(x102934,x102935,x102931,x102936,x102933,x102932,x102937)),f812(x102934,x102935,x102931,x102936,x102933,x102932,x102937)))+~P1(f329(f329(x102937,f329(f261(x102932,x102933),x102936)),f329(f256(x102932,x102933),x102936)))+P1(f329(x102931,f329(f329(f262(x102932,x102933,x102934),x102935),x102936))) % 166.45/166.23 [10303]~P44(x103032,x103033,x103034,x103035,x103031,f329(f329(x103034,x103037),x103036))+P44(x103032,x103033,x103034,x103035,f329(f329(f23(f913(x103032,a900)),x103031),f329(f329(f311(x103032),f629(x103036,x103037,x103031,x103035,x103034,x103033,x103032)),f191(f913(x103032,a900)))),f638(x103036,x103037,x103031,x103035,x103034,x103033,x103032))+E(x103031,f191(f913(x103032,a900))) % 166.45/166.23 [10304]~P44(x103045,x103046,x103041,x103044,x103047,f329(f329(x103041,x103042),x103043))+P44(x103045,x103046,x103041,x103044,f329(f329(f23(f913(x103045,a900)),x103047),f329(f329(f311(x103045),f629(x103043,x103042,x103047,x103044,x103041,x103046,x103045)),f191(f913(x103045,a900)))),f638(x103043,x103042,x103047,x103044,x103041,x103046,x103045))+E(f329(f329(x103041,x103042),x103043),x103044) % 166.45/166.23 [10327]~P1(f329(x103271,f329(f329(x103275,f812(x103274,x103275,x103271,x103276,x103273,x103272,x103277)),f811(x103274,x103275,x103271,x103276,x103273,x103272,x103277))))+~P1(f329(f329(x103277,f329(f261(x103272,x103273),x103276)),f329(f256(x103272,x103273),x103276)))+P1(f329(x103271,f329(f329(f262(x103272,x103273,x103274),x103275),x103276))) % 166.45/166.23 [9634]P1(f329(f329(f239(f913(f912(x96341,x96342),a900)),f329(f329(f291(x96341,x96343,x96342),x96344),x96345)),f329(f329(f291(x96341,x96343,x96342),x96346),x96347)))+~P1(f329(f329(f239(f913(f912(x96343,x96342),a900)),x96345),x96347))+~P1(f329(f329(f239(f913(f912(x96341,x96343),a900)),x96344),x96346)) % 166.45/166.23 [9965]~P1(f329(f329(f331(x99651),x99656),x99655))+P1(f329(f68(x99651,x99652,x99653,x99654,x99655),f329(f329(x99653,x99656),x99657)))+~P1(f329(f68(x99651,x99652,x99653,x99654,f329(f329(f23(f913(x99651,a900)),x99655),f329(f329(f311(x99651),x99656),f191(f913(x99651,a900))))),x99657)) % 166.45/166.23 [10364]~P146(x103641)+~P24(f912(x103642,x103643),x103641,f329(f262(x103642,x103643,x103641),f329(f329(f7(x103642,f913(x103643,x103641),f913(x103643,x103641)),f329(f329(f8(f913(x103641,x103641),f913(f913(x103643,x103641),f913(x103643,x103641)),x103642),f8(x103641,x103641,x103643)),f329(f329(f8(x103641,f913(x103641,x103641),x103642),f83(x103641)),x103644))),x103645)),f329(f329(f259(x103642,x103643),x103646),f329(f16(f913(x103643,a900),x103642),x103647)))+E(f329(f329(f6(x103641,x103641),f33(x103641)),f329(f267(x103641),f329(f329(f8(f913(x103642,a900),a900,x103641),f89(x103642)),f329(f329(f8(f913(x103642,f913(x103643,a900)),f913(x103642,a900),x103641),f329(f8(f913(x103643,a900),a900,x103642),f89(x103643))),f329(f329(f7(x103641,f913(x103642,f913(x103643,a900)),f913(x103642,f913(x103643,a900))),f329(f329(f8(f913(x103642,f913(f913(x103643,a900),f913(x103643,a900))),f913(f913(x103642,f913(x103643,a900)),f913(x103642,f913(x103643,a900))),x103641),f18(x103642,f913(x103643,a900),f913(x103643,a900))),f329(f329(f8(f913(x103642,f913(x103643,f913(a900,a900))),f913(x103642,f913(f913(x103643,a900),f913(x103643,a900))),x103641),f329(f8(f913(x103643,f913(a900,a900)),f913(f913(x103643,a900),f913(x103643,a900)),x103642),f18(x103643,a900,a900))),f329(f329(f8(f913(x103642,f913(x103643,a900)),f913(x103642,f913(x103643,f913(a900,a900))),x103641),f329(f8(f913(x103643,a900),f913(x103643,f913(a900,a900)),x103642),f329(f8(a900,f913(a900,a900),x103643),a327))),f329(f329(f7(x103641,f913(x103642,f913(x103643,x103641)),f913(x103642,f913(x103643,a900))),f329(f329(f8(f913(f913(x103643,x103641),f913(x103643,a900)),f913(f913(x103642,f913(x103643,x103641)),f913(x103642,f913(x103643,a900))),x103641),f8(f913(x103643,x103641),f913(x103643,a900),x103642)),f329(f329(f8(f913(x103641,a900),f913(f913(x103643,x103641),f913(x103643,a900)),x103641),f8(x103641,a900,x103643)),a326))),f329(f329(f7(x103642,f913(x103643,x103641),f913(x103643,x103641)),f329(f329(f8(f913(x103641,x103641),f913(f913(x103643,x103641),f913(x103643,x103641)),x103642),f8(x103641,x103641,x103643)),f329(f329(f8(x103641,f913(x103641,x103641),x103642),f83(x103641)),x103644))),x103645)))))),f329(f329(f7(x103642,f913(x103643,a900),f913(x103643,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x103643,a900),f913(x103643,a900)),x103642),f8(a900,a900,x103643)),f329(f329(f8(a900,f913(a900,a900),x103642),a327),f329(f329(f7(x103642,f913(x103642,a900),a900),f331(x103642)),x103646)))),f329(f329(f7(x103643,f913(x103643,a900),a900),f331(x103643)),x103647))))))),f329(f329(f83(x103641),f329(f329(f6(x103642,x103641),x103644),x103646)),f329(f329(f6(x103643,x103641),x103645),x103647))) % 166.45/166.23 [9638]~P25(x96381,x96383,x96385,x96386,x96388)+~P25(x96383,x96382,x96384,x96388,x96387)+P25(x96381,x96382,f329(f74(x96383,x96382,x96381,x96384),x96385),x96386,x96387) % 166.45/166.23 [9666]P25(x96661,x96662,x96663,x96664,x96665)+~P25(x96666,x96661,x96667,x96668,x96664)+~P25(x96666,x96662,f329(f74(x96661,x96662,x96666,x96663),x96667),x96668,x96665) % 166.45/166.23 [9800]~P1(f329(f329(x98004,x98006),x98008))+~P1(f329(f329(x98005,x98008),x98007))+P1(f329(f329(f258(x98001,x98002,x98003,x98004,x98005),x98006),x98007)) % 166.45/166.23 [9395]~P18(x93958,x93951,x93953,x93955)+~P1(f329(f63(x93958),x93956))+E(f329(f74(x93951,x93951,x93952,f329(x93953,x93954)),f329(f74(x93951,x93951,x93952,f329(x93955,x93956)),x93957)),f329(f74(x93951,x93951,x93952,f329(x93955,x93956)),f329(f74(x93951,x93951,x93952,f329(x93953,x93954)),x93957))) % 166.45/166.23 [9790]~P21(x97907,x97902,x97905,x97908,x97906,x97901)+~P1(f329(f63(x97902),x97904))+E(f329(x97901,f329(f329(f311(x97902),x97903),x97904)),f329(f329(x97905,f329(x97906,x97903)),f329(x97901,x97904))) % 166.45/166.23 [9910]~P24(x99102,x99104,x99106,x99108)+~P24(x99101,x99103,x99105,x99107)+P24(f912(x99101,x99102),f912(x99103,x99104),f263(x99101,x99103,x99102,x99104,x99105,x99106),f329(f329(f259(x99101,x99102),x99107),f329(f16(f913(x99102,a900),x99101),x99108))) % 166.45/166.23 [9581]P1(f329(f329(f331(f912(x95811,x95812)),f329(f329(f257(x95811,x95812),x95813),x95814)),f329(f329(f291(x95811,x95815,x95812),x95816),x95817)))+~P1(f329(f329(f331(f912(x95811,x95815)),f329(f329(f257(x95811,x95815),x95813),x95818)),x95816))+~P1(f329(f329(f331(f912(x95815,x95812)),f329(f329(f257(x95815,x95812),x95818),x95814)),x95817)) % 166.45/166.23 [9771]~P1(f329(f329(f239(f913(f912(x97713,x97712),a900)),x97715),f329(f329(f259(x97713,x97712),x97718),f329(f16(f913(x97712,a900),x97713),x97717))))+~P1(f329(f329(f239(f913(f912(x97711,x97713),a900)),x97714),f329(f329(f259(x97711,x97713),x97716),f329(f16(f913(x97713,a900),x97711),x97718))))+P1(f329(f329(f239(f913(f912(x97711,x97712),a900)),f329(f329(f291(x97711,x97713,x97712),x97714),x97715)),f329(f329(f259(x97711,x97712),x97716),f329(f16(f913(x97712,a900),x97711),x97717)))) % 166.45/166.23 [9824]~E(x98243,x98245)+P1(f329(f329(f331(f912(f912(x98241,x98242),f912(x98241,x98242))),f329(f329(f257(f912(x98241,x98242),f912(x98241,x98242)),f329(f329(f257(x98241,x98242),x98243),x98244)),f329(f329(f257(x98241,x98242),x98245),x98246))),f322(x98241,x98242,x98247,x98248)))+~P1(f329(f329(f331(f912(x98242,x98242)),f329(f329(f257(x98242,x98242),x98244),x98246)),x98248)) % 166.45/166.23 [9930]E(x99301,x99302)+~P1(f329(f329(f331(f912(f912(x99303,x99305),f912(x99303,x99305))),f329(f329(f257(f912(x99303,x99305),f912(x99303,x99305)),f329(f329(f257(x99303,x99305),x99301),x99306)),f329(f329(f257(x99303,x99305),x99302),x99307))),f322(x99303,x99305,x99304,x99308)))+P1(f329(f329(f331(f912(x99303,x99303)),f329(f329(f257(x99303,x99303),x99301),x99302)),x99304)) % 166.45/166.23 [9946]~P1(f329(f329(f331(f912(f912(x99461,x99465),f912(x99461,x99465))),f329(f329(f257(f912(x99461,x99465),f912(x99461,x99465)),f329(f329(f257(x99461,x99465),x99462),x99466)),f329(f329(f257(x99461,x99465),x99463),x99467))),f322(x99461,x99465,x99464,x99468)))+P1(f329(f329(f331(f912(x99461,x99461)),f329(f329(f257(x99461,x99461),x99462),x99463)),x99464))+P1(f329(f329(f331(f912(x99465,x99465)),f329(f329(f257(x99465,x99465),x99466),x99467)),x99468)) % 166.45/166.23 [9859]~P22(x98597,x98595,x98591,x98598,x98592,x98594)+~P1(f329(f63(x98595),x98596))+E(f329(f329(x98591,f329(x98592,x98593)),f329(x98594,f329(f329(f23(f913(x98595,a900)),x98596),f329(f329(f311(x98595),x98593),f191(f913(x98595,a900)))))),f329(x98594,f329(f329(f311(x98595),x98593),x98596))) % 166.45/166.23 [9351]~P1(f329(f329(f329(x93515,x93518),x93516),x93517))+~P1(f329(f329(f331(x93511),x93518),x93514))+P1(f329(f329(f329(f329(f41(x93511,f913(x93512,f913(x93513,a900))),x93514),x93515),x93516),x93517)) % 166.45/166.23 [9565]P1(f329(f329(f329(x95651,x95652),x95653),x95654))+~P1(f329(f329(f331(x95655),x95652),x95656))+~P1(f329(f329(f329(f329(f42(x95655,f913(x95657,f913(x95658,a900))),x95656),x95651),x95653),x95654)) % 166.45/166.23 [9764]~P20(x97643,x97642,x97644,x97648,x97641)+~P1(f329(f63(x97642),x97647))+E(f329(f329(x97641,f329(f329(f18(x97642,x97643,x97643),f329(f329(f8(x97643,f913(x97643,x97643),x97642),x97644),x97645)),x97646)),x97647),f329(f329(x97644,f329(f329(x97641,x97645),x97647)),f329(f329(x97641,x97646),x97647))) % 166.45/166.23 [10028]~E(f329(f312(x100282,x100284,x100286),x100288),x1002810)+~E(f329(f312(x100281,x100283,x100285),x100287),x100289)+E(f329(f312(f912(x100281,x100282),f912(x100283,x100284),f263(x100281,x100283,x100282,x100284,x100285,x100286)),f329(f329(f259(x100281,x100282),x100287),f329(f16(f913(x100282,a900),x100281),x100288))),f329(f329(f259(x100283,x100284),x100289),f329(f16(f913(x100284,a900),x100283),x1002810))) % 166.45/166.23 [4974]~P50(x49741,x49742)+~P52(x49741,x49742)+~P53(x49741,x49742)+P6(x49741,x49742) % 166.45/166.23 [4930]~P105(x49302)+~P12(x49302,x49301)+P12(x49302,f119(x49302,x49301))+E(x49301,f118(x49302)) % 166.45/166.23 [4931]~P105(x49312)+~P12(x49312,x49311)+P12(x49312,f732(x49311,x49312))+E(x49311,f118(x49312)) % 166.45/166.23 [5172]~P4(x51722)+E(f10(x51722,x51721),f40(x51722,x51721))+E(x51721,f191(f913(x51722,a900)))+~P1(f329(f63(x51722),x51721)) % 166.45/166.23 [5173]~P4(x51732)+E(f13(x51732,x51731),f39(x51732,x51731))+E(x51731,f191(f913(x51732,a900)))+~P1(f329(f63(x51732),x51731)) % 166.45/166.23 [5335]~P105(x53352)+~P12(x53352,x53351)+E(x53351,f118(x53352))+E(f329(f329(f154(x53352),f751(x53351,x53352)),f732(x53351,x53352)),x53351) % 166.45/166.23 [6142]~P2(x61422)+E(x61421,f191(f913(x61422,a900)))+P1(f329(f329(f239(x61422),f10(x61422,x61421)),f13(x61422,x61421)))+~P1(f329(f63(x61422),x61421)) % 166.45/166.23 [6154]~P41(x61542)+~P41(x61541)+E(x61541,x61542)+~E(f329(f312(a1,a905,a109),x61541),f329(f312(a1,a905,a109),x61542)) % 166.45/166.23 [9203]~P117(x92031)+~P1(f329(f329(f331(x92031),x92032),f114(x92031)))+P1(f329(f329(f240(x92031),f329(f329(f82(x92031),f329(f329(f82(x92031),f80(x92031)),x92032)),x92032)),f2(x92031)))+~P1(f329(f329(f240(x92031),x92032),f2(x92031))) % 166.45/166.23 [9450]~P117(x94501)+~P1(f329(f329(f331(x94501),x94502),f114(x94501)))+~P1(f329(f329(f240(x94501),f329(f329(f82(x94501),f329(f329(f82(x94501),f80(x94501)),x94502)),x94502)),f2(x94501)))+P1(f329(f329(f240(x94501),x94502),f2(x94501))) % 166.45/166.23 [4989]~P146(x49892)+~P121(x49892)+E(x49891,f2(a905))+E(f329(f329(f249(x49892),f2(x49892)),x49891),f2(x49892)) % 166.45/166.23 [4992]~P146(x49921)+~P121(x49921)+~E(x49922,f2(a905))+E(f329(f329(f249(x49921),f2(x49921)),x49922),f80(x49921)) % 166.45/166.23 [5158]~P144(x51582)+E(x51581,f80(x51582))+E(x51581,f329(f81(x51582),f80(x51582)))+~E(f329(f329(f83(x51582),x51581),x51581),f80(x51582)) % 166.45/166.23 [5416]~P94(x54162)+E(x54161,f2(x54162))+E(f84(x54162,x54161),f329(f81(x54162),f80(x54162)))+P1(f329(f329(f240(x54162),f2(x54162)),x54161)) % 166.45/166.23 [5652]~P94(x56522)+E(f84(x56522,x56521),f80(x56522))+E(x56521,f2(x56522))+~P1(f329(f329(f240(x56522),f2(x56522)),x56521)) % 166.45/166.23 [5661]E(x56611,x56612)+~E(f329(f108(a905),x56611),f329(f108(a905),x56612))+P1(f329(a196,f329(f108(a1),x56612)))+P1(f329(a196,f329(f108(a1),x56611))) % 166.45/166.23 [5711]~P96(x57111)+~E(x57112,f2(x57111))+E(f329(f329(f82(x57111),x57112),x57112),f2(x57111))+~P1(f329(f329(f331(x57111),x57112),f114(x57111))) % 166.45/166.23 [5751]E(x57511,f2(a1))+~E(f329(f329(f38(a1),x57512),x57511),f2(a1))+P1(f329(f329(f240(a1),x57511),x57512))+P1(f329(f329(f240(a1),x57512),x57511)) % 166.45/166.23 [5781]E(x57811,f2(a1))+~E(f329(f329(f38(a1),x57812),x57811),f2(a1))+P1(f329(f329(f239(a1),x57812),f2(a1)))+P1(f329(f329(f240(a1),x57812),x57811)) % 166.45/166.23 [5815]E(x58151,f2(a1))+~E(f329(f329(f38(a1),x58152),x58151),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x58152))+P1(f329(f329(f240(a1),x58151),x58152)) % 166.45/166.23 [5849]~P96(x58492)+E(x58491,f2(x58492))+~E(f329(f329(f82(x58492),x58491),x58491),f2(x58492))+~P1(f329(f329(f331(x58492),x58491),f114(x58492))) % 166.45/166.23 [5910]E(f329(f108(a905),x59101),f329(f108(a905),x59102))+~E(f329(f108(a1),x59102),f2(a1))+P1(f329(a196,f329(f108(a1),x59102)))+~P1(f329(a196,f329(f108(a1),x59101))) % 166.45/166.23 [5942]~E(f329(f108(a905),x59422),f329(f108(a905),x59421))+E(f329(f108(a1),x59421),f2(a1))+P1(f329(a196,f329(f108(a1),x59421)))+~P1(f329(a196,f329(f108(a1),x59422))) % 166.45/166.23 [5952]~P105(x59522)+E(x59521,f191(f913(x59522,a900)))+~P1(f329(f63(x59522),x59521))+P1(f329(f329(f331(x59522),f14(x59522,x59521)),x59521)) % 166.45/166.23 [5953]~P105(x59532)+E(x59531,f191(f913(x59532,a900)))+~P1(f329(f63(x59532),x59531))+P1(f329(f329(f331(x59532),f15(x59532,x59531)),x59531)) % 166.45/166.23 [6119]~P117(x61191)+~P97(x61191)+P1(f329(f329(f239(x61191),f2(x61191)),f329(f108(x61191),x61192)))+~P1(f329(f329(f239(a1),a85),x61192)) % 166.45/166.23 [6120]~P117(x61201)+~P97(x61201)+P1(f329(f329(f240(x61201),f2(x61201)),f329(f108(x61201),x61202)))+~P1(f329(f329(f240(a1),a85),x61202)) % 166.45/166.23 [6141]~P117(x61411)+~P97(x61411)+E(f329(f77(x61411),f329(f108(x61411),x61412)),f329(f108(x61411),x61412))+P1(f329(f329(f240(x61411),f329(f108(x61411),x61412)),f2(x61411))) % 166.45/166.23 [6178]E(x61781,x61782)+~E(f329(a109,x61781),f329(a109,x61782))+~P1(f329(f329(f239(a1),f2(a1)),x61782))+~P1(f329(f329(f239(a1),f2(a1)),x61781)) % 166.45/166.23 [6371]~P97(x63712)+~P117(x63712)+~P1(f329(f329(f239(x63712),f2(x63712)),f329(f108(x63712),x63711)))+P1(f329(f329(f239(a1),a85),x63711)) % 166.45/166.23 [6372]~P97(x63722)+~P117(x63722)+~P1(f329(f329(f240(x63722),f2(x63722)),f329(f108(x63722),x63721)))+P1(f329(f329(f240(a1),a85),x63721)) % 166.45/166.23 [6377]~P117(x63771)+~P97(x63771)+P1(f329(f329(f239(x63771),f329(f108(x63771),x63772)),f2(x63771)))+~P1(f329(f329(f239(a1),x63772),a85)) % 166.45/166.23 [6378]~P117(x63781)+~P97(x63781)+P1(f329(f329(f240(x63781),f329(f108(x63781),x63782)),f2(x63781)))+~P1(f329(f329(f240(a1),x63782),a85)) % 166.45/166.23 [6699]~P97(x66992)+~P117(x66992)+~P1(f329(f329(f239(x66992),f329(f108(x66992),x66991)),f2(x66992)))+P1(f329(f329(f239(a1),x66991),a85)) % 166.45/166.23 [6700]~P97(x67002)+~P117(x67002)+~P1(f329(f329(f240(x67002),f329(f108(x67002),x67001)),f2(x67002)))+P1(f329(f329(f240(a1),x67001),a85)) % 166.45/166.23 [6790]~P117(x67901)+~P97(x67901)+E(f329(f77(x67901),f329(f108(x67901),x67902)),f329(f81(x67901),f329(f108(x67901),x67902)))+~P1(f329(f329(f240(x67901),f329(f108(x67901),x67902)),f2(x67901))) % 166.45/166.23 [6809]E(f329(f108(a905),x68091),f329(f108(a905),x68092))+~E(f329(f108(a1),x68092),f2(a1))+~P1(f329(f329(f239(a1),f329(f108(a1),x68091)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x68091))) % 166.45/166.23 [7688]~P105(x76882)+E(x76881,f191(f913(x76882,a900)))+~P1(f329(f63(x76882),x76881))+P1(f329(f329(f239(x76882),f11(x76882,f237(x76882),x76881)),f12(x76882,f238(x76882),x76881))) % 166.45/166.23 [8012]~P5(x80121)+~P41(x80122)+P1(f329(f329(f331(a1),x80121),x80122))+~P1(f329(f329(f331(a905),f329(a109,x80121)),f329(f312(a1,a905,a109),x80122))) % 166.45/166.23 [5948]~P142(x59482)+E(x59481,f2(a1))+E(f329(f81(x59482),f329(f107(x59482),f329(f81(a1),x59481))),f329(f107(x59482),x59481))+~P1(f329(f329(f240(a1),x59481),f2(a1))) % 166.45/166.23 [6021]~P96(x60211)+~P97(x60211)+~P29(x60211,f329(f108(x60211),x60212))+P29(x60211,f329(f108(x60211),f329(f329(f82(a1),x60212),x60212))) % 166.45/166.23 [6360]~P81(x63602)+E(x63601,f191(f913(x63602,a900)))+E(f15(x63602,f329(f312(x63602,x63602,f81(x63602)),x63601)),f329(f81(x63602),f14(x63602,x63601)))+~P1(f329(f63(x63602),x63601)) % 166.45/166.23 [6361]~P81(x63612)+E(x63611,f191(f913(x63612,a900)))+E(f14(x63612,f329(f312(x63612,x63612,f81(x63612)),x63611)),f329(f81(x63612),f15(x63612,x63611)))+~P1(f329(f63(x63612),x63611)) % 166.45/166.23 [6394]~P96(x63941)+~P97(x63941)+P29(x63941,f329(f108(x63941),x63942))+~P29(x63941,f329(f108(x63941),f329(f329(f82(a1),x63942),x63942))) % 166.45/166.23 [6484]E(x64841,f2(a1))+E(f329(a53,f52(f329(f81(a1),x64841),f329(f81(a1),x64842))),f48(x64841,x64842))+P1(f329(f329(f239(a1),f2(a1)),x64842))+~P1(f329(f329(f239(a1),f2(a1)),x64841)) % 166.45/166.23 [8806]~P41(x88062)+~P41(x88061)+P1(f329(f329(f240(f913(a905,a900)),f329(f312(a1,a905,a109),x88061)),f329(f312(a1,a905,a109),x88062)))+~P1(f329(f329(f240(f913(a1,a900)),x88061),x88062)) % 166.45/166.23 [9031]~E(f753(x90312,x90311),f754(x90312,x90311))+~P1(f329(f140(x90311),f755(x90312,x90311)))+~P1(f329(f140(f906(x90311)),x90312))+P1(f329(f140(x90311),f329(f145(f906(x90311),f906(x90311),f137(x90311),f118(x90311)),x90312))) % 166.45/166.23 [9121]~P41(x91212)+~P41(x91211)+~P1(f329(f329(f239(f913(a905,a900)),f329(f312(a1,a905,a109),x91211)),f329(f312(a1,a905,a109),x91212)))+P1(f329(f329(f239(f913(a1,a900)),x91211),x91212)) % 166.45/166.23 [9122]~P41(x91222)+~P41(x91221)+~P1(f329(f329(f240(f913(a905,a900)),f329(f312(a1,a905,a109),x91221)),f329(f312(a1,a905,a109),x91222)))+P1(f329(f329(f240(f913(a1,a900)),x91221),x91222)) % 166.45/166.23 [9128]~E(f753(x91282,x91281),f754(x91282,x91281))+~P1(f329(f140(f906(x91281)),x91282))+P1(f329(f140(x91281),f329(f145(f906(x91281),f906(x91281),f137(x91281),f118(x91281)),x91282)))+P1(f329(f329(f331(f906(x91281)),f755(x91282,x91281)),f329(f175(f906(x91281)),x91282))) % 166.45/166.23 [9171]~P1(f329(f140(x91711),f755(x91712,x91711)))+~P1(f329(f140(f906(x91711)),x91712))+P1(f329(f140(x91711),f329(f145(f906(x91711),f906(x91711),f137(x91711),f118(x91711)),x91712)))+P1(f329(f329(f331(f906(x91711)),f754(x91712,x91711)),f329(f175(f906(x91711)),x91712))) % 166.45/166.23 [9172]~P1(f329(f140(x91721),f755(x91722,x91721)))+~P1(f329(f140(f906(x91721)),x91722))+P1(f329(f140(x91721),f329(f145(f906(x91721),f906(x91721),f137(x91721),f118(x91721)),x91722)))+P1(f329(f329(f331(f906(x91721)),f753(x91722,x91721)),f329(f175(f906(x91721)),x91722))) % 166.45/166.23 [9255]~P1(f329(f140(f906(x92551)),x92552))+P1(f329(f140(x92551),f329(f145(f906(x92551),f906(x92551),f137(x92551),f118(x92551)),x92552)))+P1(f329(f329(f331(f906(x92551)),f754(x92552,x92551)),f329(f175(f906(x92551)),x92552)))+P1(f329(f329(f331(f906(x92551)),f755(x92552,x92551)),f329(f175(f906(x92551)),x92552))) % 166.45/166.23 [9256]~P1(f329(f140(f906(x92561)),x92562))+P1(f329(f140(x92561),f329(f145(f906(x92561),f906(x92561),f137(x92561),f118(x92561)),x92562)))+P1(f329(f329(f331(f906(x92561)),f753(x92562,x92561)),f329(f175(f906(x92561)),x92562)))+P1(f329(f329(f331(f906(x92561)),f755(x92562,x92561)),f329(f175(f906(x92561)),x92562))) % 166.45/166.23 [9271]~E(f329(f329(f106(f913(x92711,a900)),f329(f175(x92711),f754(x92712,x92711))),f329(f175(x92711),f753(x92712,x92711))),f191(f913(x92711,a900)))+~P1(f329(f140(x92711),f755(x92712,x92711)))+~P1(f329(f140(f906(x92711)),x92712))+P1(f329(f140(x92711),f329(f145(f906(x92711),f906(x92711),f137(x92711),f118(x92711)),x92712))) % 166.45/166.23 [9334]~E(f329(f329(f106(f913(x93341,a900)),f329(f175(x93341),f754(x93342,x93341))),f329(f175(x93341),f753(x93342,x93341))),f191(f913(x93341,a900)))+~P1(f329(f140(f906(x93341)),x93342))+P1(f329(f140(x93341),f329(f145(f906(x93341),f906(x93341),f137(x93341),f118(x93341)),x93342)))+P1(f329(f329(f331(f906(x93341)),f755(x93342,x93341)),f329(f175(f906(x93341)),x93342))) % 166.45/166.23 [9606]E(x96061,f2(a1))+E(x96062,f2(a1))+E(f329(f329(f88(a1,f912(a1,a1)),f329(f329(a221,x96062),x96061)),f329(f329(f18(a1,a1,f912(a1,a1)),f329(f329(f8(a1,f913(a1,f912(a1,a1)),a1),f257(a1,a1)),f329(f38(a1),x96062))),f329(f38(a1),x96061))),f219(x96062,x96061))+P1(f329(f329(f240(a1),x96061),f2(a1))) % 166.45/166.23 [8348]~P97(x83482)+~P117(x83482)+~P1(f329(f329(f239(x83482),f329(f108(x83482),x83481)),f80(x83482)))+P1(f329(f329(f239(a1),x83481),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.45/166.23 [8349]~P97(x83492)+~P117(x83492)+~P1(f329(f329(f240(x83492),f329(f108(x83492),x83491)),f80(x83492)))+P1(f329(f329(f240(a1),x83491),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.45/166.23 [8634]~P117(x86341)+~P97(x86341)+P1(f329(f329(f239(x86341),f329(f108(x86341),x86342)),f80(x86341)))+~P1(f329(f329(f239(a1),x86342),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.45/166.23 [8635]~P117(x86351)+~P97(x86351)+P1(f329(f329(f240(x86351),f329(f108(x86351),x86352)),f80(x86351)))+~P1(f329(f329(f240(a1),x86352),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.45/166.23 [8833]~P97(x88332)+~P117(x88332)+~P1(f329(f329(f239(x88332),f80(x88332)),f329(f108(x88332),x88331)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88331)) % 166.45/166.23 [8834]~P97(x88342)+~P117(x88342)+~P1(f329(f329(f240(x88342),f80(x88342)),f329(f108(x88342),x88341)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88341)) % 166.45/166.23 [9209]~P117(x92091)+~P97(x92091)+P1(f329(f329(f239(x92091),f80(x92091)),f329(f108(x92091),x92092)))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92092)) % 166.45/166.23 [9210]~P117(x92101)+~P97(x92101)+P1(f329(f329(f240(x92101),f80(x92101)),f329(f108(x92101),x92102)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92102)) % 166.45/166.23 [9737]~P144(x97372)+E(x97371,f80(x97372))+E(x97371,f329(f81(x97372),f80(x97372)))+~E(f329(f329(f249(x97372),x97371),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x97372)) % 166.45/166.23 [10004]~P72(x100041)+~P97(x100041)+~P1(f329(f329(f240(x100041),f2(x100041)),x100042))+P1(f329(f329(f240(x100041),f2(x100041)),f329(f329(f292(x100041),x100042),f329(f108(x100041),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.23 [10057]~P72(x100571)+~P97(x100571)+P1(f329(f329(f240(x100571),f2(x100571)),x100572))+~P1(f329(f329(f240(x100571),f2(x100571)),f329(f329(f292(x100571),x100572),f329(f108(x100571),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.23 [10334]~P142(x103342)+E(x103341,f2(a1))+P1(f329(f329(f240(a1),x103341),f2(a1)))+E(f329(f329(f262(a1,a1,x103342),f329(f329(f7(a1,f913(a1,f913(x103342,x103342)),f913(a1,x103342)),f329(f329(f8(f913(f913(x103342,x103342),x103342),f913(f913(a1,f913(x103342,x103342)),f913(a1,x103342)),a1),f8(f913(x103342,x103342),x103342,a1)),f329(f329(f8(x103342,f913(f913(x103342,x103342),x103342),a1),f88(x103342,x103342)),f107(x103342)))),f329(f329(f7(a1,f913(x103342,x103342),f913(x103342,x103342)),f329(f329(f8(f913(x103342,f913(x103342,x103342)),f913(f913(x103342,x103342),f913(x103342,x103342)),a1),f18(x103342,x103342,x103342)),f329(f329(f7(a1,f913(x103342,x103342),f913(x103342,f913(x103342,x103342))),f329(f329(f8(f913(x103342,f913(x103342,x103342)),f913(f913(x103342,x103342),f913(x103342,f913(x103342,x103342))),a1),f8(x103342,f913(x103342,x103342),x103342)),f329(f329(f8(a900,f913(x103342,f913(x103342,x103342)),a1),f99(x103342)),f329(f329(f7(a1,a1,a900),a326),f2(a1))))),f329(f329(f18(x103342,x103342,x103342),f82(x103342)),f5(x103342))))),f329(f329(f7(x103342,x103342,x103342),f329(f329(f8(x103342,f913(x103342,x103342),x103342),f82(x103342)),f329(f329(f18(x103342,x103342,x103342),f82(x103342)),f5(x103342)))),f80(x103342))))),f48(x103341,f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f107(x103342),x103341)) % 166.45/166.23 [5425]~P38(x54251,x54253)+~P54(x54251,x54253)+~P55(x54251,x54252,x54253)+P7(x54251,x54252,x54253) % 166.45/166.23 [5183]~P4(x51833)+~P40(x51833,x51833,x51831)+E(f329(x51831,x51832),x51832)+~E(x51832,f101(x51833,x51831)) % 166.45/166.23 [5184]~P4(x51843)+~P40(x51843,x51843,x51841)+E(f329(x51841,x51842),x51842)+~E(x51842,f100(x51843,x51841)) % 166.45/166.23 [4958]~P96(x49583)+~P97(x49583)+E(x49581,x49582)+~E(f329(f108(x49583),x49581),f329(f108(x49583),x49582)) % 166.45/166.23 [5435]~P52(x54351,x54352)+~P53(x54351,x54352)+P14(x54351,x54352)+~P1(f329(f329(x54352,x54353),x54353)) % 166.45/166.23 [5925]P14(x59252,x59251)+E(f329(x59251,f829(x59251)),f329(x59251,f830(x59251)))+P1(f329(f329(x59251,f829(x59251)),f830(x59251)))+~P1(f329(f329(x59251,x59253),x59253)) % 166.45/166.23 [6129]~P1(f329(x61291,x61292))+~P1(f329(x61291,x61293))+~P1(f329(f329(f239(a905),x61293),f892(x61292,x61291)))+P1(f329(x61291,f2(a905))) % 166.45/166.23 [6197]P14(x61971,x61972)+P1(f329(f329(x61972,f829(x61972)),f829(x61972)))+P1(f329(f329(x61972,f829(x61972)),f830(x61972)))+~P1(f329(f329(x61972,x61973),x61973)) % 166.45/166.23 [6198]P14(x61981,x61982)+P1(f329(f329(x61982,f829(x61982)),f830(x61982)))+P1(f329(f329(x61982,f830(x61982)),f830(x61982)))+~P1(f329(f329(x61982,x61983),x61983)) % 166.45/166.23 [6553]P150(x65532,x65533,x65531)+E(x65531,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f844(x65531,x65533,x65532)))+P1(f329(f329(f240(a1),x65531),f2(a1))) % 166.45/166.23 [6554]P149(x65542,x65543,x65541)+E(x65541,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f849(x65541,x65543,x65542)))+P1(f329(f329(f240(a1),x65541),f2(a1))) % 166.45/166.23 [6678]P149(x66781,x66782,x66783)+~P1(f329(x66781,x66782))+P1(f329(f329(f239(a1),f2(a1)),f849(x66783,x66782,x66781)))+P1(f329(f329(f240(a1),x66783),f2(a1))) % 166.45/166.23 [6705]P150(x67051,x67052,x67053)+P1(f329(f329(f239(a1),f2(a1)),f844(x67053,x67052,x67051)))+~P1(f329(x67051,f2(a1)))+P1(f329(f329(f240(a1),x67053),f2(a1))) % 166.45/166.23 [6733]P150(x67332,x67333,x67331)+E(x67331,f2(a1))+~P1(f329(x67332,f845(x67331,x67333,x67332)))+P1(f329(f329(f240(a1),x67331),f2(a1))) % 166.45/166.23 [6734]P149(x67342,x67343,x67341)+E(x67341,f2(a1))+~P1(f329(x67342,f849(x67341,x67343,x67342)))+P1(f329(f329(f240(a1),x67341),f2(a1))) % 166.45/166.23 [6833]~P105(x68331)+~P4(x68331)+~P1(f329(f329(f240(x68331),x68332),f39(x68331,x68333)))+P1(f329(f329(f240(x68331),x68332),f613(x68333,x68332,x68331))) % 166.45/166.23 [6842]P149(x68421,x68422,x68423)+~P1(f329(x68421,x68422))+~P1(f329(x68421,f849(x68423,x68422,x68421)))+P1(f329(f329(f240(a1),x68423),f2(a1))) % 166.45/166.23 [6873]P150(x68731,x68732,x68733)+~P1(f329(x68731,f845(x68733,x68732,x68731)))+~P1(f329(x68731,f2(a1)))+P1(f329(f329(f240(a1),x68733),f2(a1))) % 166.45/166.23 [7119]P150(x71192,x71193,x71191)+E(x71191,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f844(x71191,x71193,x71192)))+P1(f329(f329(f240(a1),x71191),f843(x71191,x71193,x71192))) % 166.45/166.23 [7120]P149(x71202,x71203,x71201)+E(x71201,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f849(x71201,x71203,x71202)))+P1(f329(f329(f240(a1),x71201),f848(x71201,x71203,x71202))) % 166.45/166.23 [7237]P149(x72371,x72372,x72373)+~P1(f329(x72371,x72372))+P1(f329(f329(f239(a1),f2(a1)),f849(x72373,x72372,x72371)))+P1(f329(f329(f240(a1),x72373),f848(x72373,x72372,x72371))) % 166.45/166.23 [7256]P150(x72561,x72562,x72563)+P1(f329(f329(f239(a1),f2(a1)),f844(x72563,x72562,x72561)))+P1(f329(f329(f240(a1),x72563),f843(x72563,x72562,x72561)))+~P1(f329(x72561,f2(a1))) % 166.45/166.23 [7288]P150(x72882,x72883,x72881)+E(x72881,f2(a1))+~P1(f329(x72882,f845(x72881,x72883,x72882)))+P1(f329(f329(f240(a1),x72881),f843(x72881,x72883,x72882))) % 166.45/166.23 [7289]P149(x72892,x72893,x72891)+E(x72891,f2(a1))+~P1(f329(x72892,f849(x72891,x72893,x72892)))+P1(f329(f329(f240(a1),x72891),f848(x72891,x72893,x72892))) % 166.45/166.23 [7333]P150(x73332,x73333,x73331)+E(x73331,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f844(x73331,x73333,x73332)))+~P1(f329(x73332,f847(x73331,x73333,x73332))) % 166.45/166.23 [7334]P149(x73342,x73343,x73341)+E(x73341,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f849(x73341,x73343,x73342)))+~P1(f329(x73342,f848(x73341,x73343,x73342))) % 166.45/166.23 [7435]P149(x74351,x74352,x74353)+~P1(f329(x74351,x74352))+~P1(f329(x74351,f849(x74353,x74352,x74351)))+P1(f329(f329(f240(a1),x74353),f848(x74353,x74352,x74351))) % 166.45/166.23 [7450]P150(x74501,x74502,x74503)+~P1(f329(x74501,f845(x74503,x74502,x74501)))+P1(f329(f329(f240(a1),x74503),f843(x74503,x74502,x74501)))+~P1(f329(x74501,f2(a1))) % 166.45/166.23 [7455]P149(x74551,x74552,x74553)+~P1(f329(x74551,x74552))+P1(f329(f329(f239(a1),f2(a1)),f849(x74553,x74552,x74551)))+~P1(f329(x74551,f848(x74553,x74552,x74551))) % 166.45/166.23 [7471]P150(x74711,x74712,x74713)+P1(f329(f329(f239(a1),f2(a1)),f844(x74713,x74712,x74711)))+~P1(f329(x74711,f847(x74713,x74712,x74711)))+~P1(f329(x74711,f2(a1))) % 166.45/166.23 [7492]P150(x74922,x74923,x74921)+E(x74921,f2(a1))+~P1(f329(x74922,f845(x74921,x74923,x74922)))+~P1(f329(x74922,f847(x74921,x74923,x74922))) % 166.45/166.23 [7493]P149(x74932,x74933,x74931)+E(x74931,f2(a1))+~P1(f329(x74932,f849(x74931,x74933,x74932)))+~P1(f329(x74932,f848(x74931,x74933,x74932))) % 166.45/166.23 [7586]P149(x75861,x75862,x75863)+~P1(f329(x75861,x75862))+~P1(f329(x75861,f849(x75863,x75862,x75861)))+~P1(f329(x75861,f848(x75863,x75862,x75861))) % 166.45/166.23 [7603]P150(x76031,x76032,x76033)+~P1(f329(x76031,f845(x76033,x76032,x76031)))+~P1(f329(x76031,f847(x76033,x76032,x76031)))+~P1(f329(x76031,f2(a1))) % 166.45/166.23 [7647]P150(x76472,x76473,x76471)+E(x76471,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f844(x76471,x76473,x76472)))+P1(f329(f329(f239(a1),f843(x76471,x76473,x76472)),f2(a1))) % 166.45/166.23 [7648]P149(x76482,x76483,x76481)+E(x76481,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f849(x76481,x76483,x76482)))+P1(f329(f329(f239(a1),f848(x76481,x76483,x76482)),f2(a1))) % 166.45/166.23 [7649]~P90(x76491)+~P1(f329(f329(f239(x76491),x76493),f2(x76491)))+~P1(f329(f329(f239(x76491),x76492),f2(x76491)))+P1(f329(f329(f239(x76491),f329(f329(f82(x76491),x76492),x76493)),f2(x76491))) % 166.45/166.23 [7650]~P142(x76501)+~P1(f329(f329(f331(x76501),x76503),f114(x76501)))+~P1(f329(f329(f331(x76501),x76502),f114(x76501)))+P1(f329(f329(f331(x76501),f329(f329(f23(x76501),x76502),x76503)),f114(x76501))) % 166.45/166.23 [7651]~P142(x76511)+~P1(f329(f329(f331(x76511),x76513),f114(x76511)))+~P1(f329(f329(f331(x76511),x76512),f114(x76511)))+P1(f329(f329(f331(x76511),f329(f329(f82(x76511),x76512),x76513)),f114(x76511))) % 166.45/166.23 [7652]~P147(x76521)+~P1(f329(f329(f331(x76521),x76523),f189(x76521)))+~P1(f329(f329(f331(x76521),x76522),f189(x76521)))+P1(f329(f329(f331(x76521),f329(f329(f82(x76521),x76522),x76523)),f189(x76521))) % 166.45/166.23 [7653]~P142(x76531)+~P1(f329(f329(f331(x76531),x76533),f114(x76531)))+~P1(f329(f329(f331(x76531),x76532),f114(x76531)))+P1(f329(f329(f331(x76531),f329(f329(f83(x76531),x76532),x76533)),f114(x76531))) % 166.45/166.23 [7654]~P147(x76541)+~P1(f329(f329(f331(x76541),x76543),f189(x76541)))+~P1(f329(f329(f331(x76541),x76542),f189(x76541)))+P1(f329(f329(f331(x76541),f329(f329(f83(x76541),x76542),x76543)),f189(x76541))) % 166.45/166.23 [7655]~P90(x76551)+~P1(f329(f329(f239(x76551),x76553),f2(x76551)))+~P1(f329(f329(f240(x76551),x76552),f2(x76551)))+P1(f329(f329(f240(x76551),f329(f329(f82(x76551),x76552),x76553)),f2(x76551))) % 166.45/166.23 [7656]~P90(x76561)+~P1(f329(f329(f239(x76561),x76562),f2(x76561)))+~P1(f329(f329(f240(x76561),x76563),f2(x76561)))+P1(f329(f329(f240(x76561),f329(f329(f82(x76561),x76562),x76563)),f2(x76561))) % 166.45/166.23 [7657]~P90(x76571)+~P1(f329(f329(f240(x76571),x76573),f2(x76571)))+~P1(f329(f329(f240(x76571),x76572),f2(x76571)))+P1(f329(f329(f240(x76571),f329(f329(f82(x76571),x76572),x76573)),f2(x76571))) % 166.45/166.23 [7684]P150(x76843,x76842,x76841)+E(x76841,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76841),f845(x76841,x76842,x76843))),f844(x76841,x76842,x76843)),x76842)+P1(f329(f329(f240(a1),x76841),f2(a1))) % 166.45/166.23 [7685]P149(x76853,x76852,x76851)+E(x76851,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76851),f850(x76851,x76852,x76853))),f849(x76851,x76852,x76853)),x76852)+P1(f329(f329(f240(a1),x76851),f2(a1))) % 166.45/166.23 [7767]P149(x77671,x77672,x77673)+~P1(f329(x77671,x77672))+P1(f329(f329(f239(a1),f2(a1)),f849(x77673,x77672,x77671)))+P1(f329(f329(f239(a1),f848(x77673,x77672,x77671)),f2(a1))) % 166.45/166.23 [7797]P150(x77971,x77972,x77973)+P1(f329(f329(f239(a1),f2(a1)),f844(x77973,x77972,x77971)))+~P1(f329(x77971,f2(a1)))+P1(f329(f329(f239(a1),f843(x77973,x77972,x77971)),f2(a1))) % 166.45/166.23 [7806]P149(x78063,x78062,x78061)+~P1(f329(x78063,x78062))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78061),f850(x78061,x78062,x78063))),f849(x78061,x78062,x78063)),x78062)+P1(f329(f329(f240(a1),x78061),f2(a1))) % 166.45/166.23 [7812]P150(x78122,x78123,x78121)+E(x78121,f2(a1))+~P1(f329(x78122,f845(x78121,x78123,x78122)))+P1(f329(f329(f239(a1),f843(x78121,x78123,x78122)),f2(a1))) % 166.45/166.23 [7813]P149(x78132,x78133,x78131)+E(x78131,f2(a1))+~P1(f329(x78132,f849(x78131,x78133,x78132)))+P1(f329(f329(f239(a1),f848(x78131,x78133,x78132)),f2(a1))) % 166.45/166.23 [7818]P150(x78183,x78182,x78181)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78181),f845(x78181,x78182,x78183))),f844(x78181,x78182,x78183)),x78182)+~P1(f329(x78183,f2(a1)))+P1(f329(f329(f240(a1),x78181),f2(a1))) % 166.45/166.23 [7875]P149(x78751,x78752,x78753)+~P1(f329(x78751,x78752))+~P1(f329(x78751,f849(x78753,x78752,x78751)))+P1(f329(f329(f239(a1),f848(x78753,x78752,x78751)),f2(a1))) % 166.45/166.23 [7879]P150(x78791,x78792,x78793)+~P1(f329(x78791,f845(x78793,x78792,x78791)))+~P1(f329(x78791,f2(a1)))+P1(f329(f329(f239(a1),f843(x78793,x78792,x78791)),f2(a1))) % 166.45/166.23 [7953]~P129(x79531)+~P1(f329(f329(f239(x79531),f329(f329(f83(x79531),x79533),x79532)),f2(x79531)))+P1(f329(f329(f239(x79531),x79532),f2(x79531)))+P1(f329(f329(f239(x79531),x79533),f2(x79531))) % 166.45/166.23 [7954]~P72(x79541)+~P1(f329(f329(f239(x79541),f329(f329(f292(x79541),x79543),x79542)),f2(x79541)))+P1(f329(f329(f239(x79541),x79542),f2(x79541)))+P1(f329(f329(f239(x79541),x79543),f2(x79541))) % 166.45/166.23 [7955]~P72(x79551)+~P1(f329(f329(f240(x79551),f329(f329(f292(x79551),x79553),x79552)),f2(x79551)))+P1(f329(f329(f240(x79551),x79552),f2(x79551)))+P1(f329(f329(f240(x79551),x79553),f2(x79551))) % 166.45/166.23 [8069]P150(x80693,x80692,x80691)+E(x80691,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80691),f845(x80691,x80692,x80693))),f844(x80691,x80692,x80693)),x80692)+P1(f329(f329(f240(a1),x80691),f843(x80691,x80692,x80693))) % 166.45/166.23 [8070]P149(x80703,x80702,x80701)+E(x80701,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80701),f850(x80701,x80702,x80703))),f849(x80701,x80702,x80703)),x80702)+P1(f329(f329(f240(a1),x80701),f848(x80701,x80702,x80703))) % 166.45/166.23 [8082]P150(x80823,x80822,x80821)+E(x80821,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80821),f847(x80821,x80822,x80823))),f843(x80821,x80822,x80823)),x80822)+P1(f329(f329(f239(a1),f2(a1)),f844(x80821,x80822,x80823))) % 166.45/166.23 [8083]P149(x80833,x80832,x80831)+E(x80831,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80831),f851(x80831,x80832,x80833))),f848(x80831,x80832,x80833)),x80832)+P1(f329(f329(f239(a1),f2(a1)),f849(x80831,x80832,x80833))) % 166.45/166.23 [8130]P149(x81303,x81302,x81301)+~P1(f329(x81303,x81302))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81301),f850(x81301,x81302,x81303))),f849(x81301,x81302,x81303)),x81302)+P1(f329(f329(f240(a1),x81301),f848(x81301,x81302,x81303))) % 166.45/166.23 [8142]P150(x81423,x81422,x81421)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81421),f845(x81421,x81422,x81423))),f844(x81421,x81422,x81423)),x81422)+P1(f329(f329(f240(a1),x81421),f843(x81421,x81422,x81423)))+~P1(f329(x81423,f2(a1))) % 166.45/166.23 [8148]P149(x81483,x81482,x81481)+~P1(f329(x81483,x81482))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81481),f851(x81481,x81482,x81483))),f848(x81481,x81482,x81483)),x81482)+P1(f329(f329(f239(a1),f2(a1)),f849(x81481,x81482,x81483))) % 166.45/166.23 [8156]P150(x81563,x81562,x81561)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81561),f847(x81561,x81562,x81563))),f843(x81561,x81562,x81563)),x81562)+P1(f329(f329(f239(a1),f2(a1)),f844(x81561,x81562,x81563)))+~P1(f329(x81563,f2(a1))) % 166.45/166.23 [8167]P150(x81673,x81672,x81671)+E(x81671,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81671),f845(x81671,x81672,x81673))),f844(x81671,x81672,x81673)),x81672)+~P1(f329(x81673,f847(x81671,x81672,x81673))) % 166.45/166.23 [8168]P149(x81683,x81682,x81681)+E(x81681,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81681),f850(x81681,x81682,x81683))),f849(x81681,x81682,x81683)),x81682)+~P1(f329(x81683,f848(x81681,x81682,x81683))) % 166.45/166.23 [8169]P150(x81693,x81692,x81691)+E(x81691,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81691),f847(x81691,x81692,x81693))),f843(x81691,x81692,x81693)),x81692)+~P1(f329(x81693,f845(x81691,x81692,x81693))) % 166.45/166.23 [8170]P149(x81703,x81702,x81701)+E(x81701,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81701),f851(x81701,x81702,x81703))),f848(x81701,x81702,x81703)),x81702)+~P1(f329(x81703,f849(x81701,x81702,x81703))) % 166.45/166.23 [8232]P149(x82323,x82322,x82321)+~P1(f329(x82323,x82322))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82321),f850(x82321,x82322,x82323))),f849(x82321,x82322,x82323)),x82322)+~P1(f329(x82323,f848(x82321,x82322,x82323))) % 166.45/166.23 [8233]P149(x82333,x82332,x82331)+~P1(f329(x82333,x82332))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82331),f851(x82331,x82332,x82333))),f848(x82331,x82332,x82333)),x82332)+~P1(f329(x82333,f849(x82331,x82332,x82333))) % 166.45/166.23 [8243]P150(x82433,x82432,x82431)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82431),f845(x82431,x82432,x82433))),f844(x82431,x82432,x82433)),x82432)+~P1(f329(x82433,f847(x82431,x82432,x82433)))+~P1(f329(x82433,f2(a1))) % 166.45/166.23 [8244]P150(x82443,x82442,x82441)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82441),f847(x82441,x82442,x82443))),f843(x82441,x82442,x82443)),x82442)+~P1(f329(x82443,f845(x82441,x82442,x82443)))+~P1(f329(x82443,f2(a1))) % 166.45/166.23 [8341]P150(x83413,x83412,x83411)+E(x83411,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83411),f845(x83411,x83412,x83413))),f844(x83411,x83412,x83413)),x83412)+P1(f329(f329(f239(a1),f843(x83411,x83412,x83413)),f2(a1))) % 166.45/166.23 [8342]P149(x83423,x83422,x83421)+E(x83421,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83421),f850(x83421,x83422,x83423))),f849(x83421,x83422,x83423)),x83422)+P1(f329(f329(f239(a1),f848(x83421,x83422,x83423)),f2(a1))) % 166.45/166.23 [8381]P149(x83813,x83812,x83811)+~P1(f329(x83813,x83812))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83811),f850(x83811,x83812,x83813))),f849(x83811,x83812,x83813)),x83812)+P1(f329(f329(f239(a1),f848(x83811,x83812,x83813)),f2(a1))) % 166.45/166.23 [8386]P150(x83863,x83862,x83861)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83861),f845(x83861,x83862,x83863))),f844(x83861,x83862,x83863)),x83862)+~P1(f329(x83863,f2(a1)))+P1(f329(f329(f239(a1),f843(x83861,x83862,x83863)),f2(a1))) % 166.45/166.23 [8520]P150(x85203,x85202,x85201)+E(x85201,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85201),f847(x85201,x85202,x85203))),f843(x85201,x85202,x85203)),x85202)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85201),f845(x85201,x85202,x85203))),f844(x85201,x85202,x85203)),x85202) % 166.45/166.23 [8521]P149(x85213,x85212,x85211)+E(x85211,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85211),f851(x85211,x85212,x85213))),f848(x85211,x85212,x85213)),x85212)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85211),f850(x85211,x85212,x85213))),f849(x85211,x85212,x85213)),x85212) % 166.45/166.23 [8543]P149(x85433,x85432,x85431)+~P1(f329(x85433,x85432))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85431),f851(x85431,x85432,x85433))),f848(x85431,x85432,x85433)),x85432)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85431),f850(x85431,x85432,x85433))),f849(x85431,x85432,x85433)),x85432) % 166.45/166.23 [8555]P150(x85553,x85552,x85551)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85551),f847(x85551,x85552,x85553))),f843(x85551,x85552,x85553)),x85552)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85551),f845(x85551,x85552,x85553))),f844(x85551,x85552,x85553)),x85552)+~P1(f329(x85553,f2(a1))) % 166.45/166.23 [9218]~P129(x92181)+~E(x92183,f2(x92181))+~E(x92182,f2(x92181))+P1(f329(f329(f239(x92181),f329(f329(f82(x92181),f329(f329(f83(x92181),x92182),x92182)),f329(f329(f83(x92181),x92183),x92183))),f2(x92181))) % 166.45/166.23 [10273]~P117(x102731)+~E(x102733,f2(x102731))+~E(x102732,f2(x102731))+P1(f329(f329(f239(x102731),f329(f329(f82(x102731),f329(f329(f249(x102731),x102732),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102731),x102733),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x102731))) % 166.45/166.23 [4906]~E(x49063,x49061)+~P124(x49062)+E(x49061,f2(x49062))+E(f329(f329(f292(x49062),x49063),x49061),f80(x49062)) % 166.45/166.23 [4959]~P65(x49591)+~E(x49593,f191(x49591))+~E(x49592,f191(x49591))+E(f329(f329(f115(x49591),x49592),x49593),f191(x49591)) % 166.45/166.23 [4960]~P103(x49601)+~E(x49603,f247(x49601))+~E(x49602,f247(x49601))+E(f329(f329(f106(x49601),x49602),x49603),f247(x49601)) % 166.45/166.23 [5054]~P124(x50543)+E(x50541,x50542)+E(x50542,f2(x50543))+~E(f329(f329(f292(x50543),x50541),x50542),f80(x50543)) % 166.45/166.23 [5072]~P130(x50722)+E(x50721,f2(x50722))+E(x50723,f2(x50722))+~E(f329(f329(f83(x50722),x50723),x50721),f2(x50722)) % 166.45/166.23 [5073]~P143(x50732)+E(x50731,f2(x50732))+E(x50733,f2(x50732))+~E(f329(f329(f83(x50732),x50733),x50731),f2(x50732)) % 166.45/166.23 [5454]~P123(x54543)+E(x54541,x54542)+E(x54541,f329(f81(x54543),x54542))+~E(f329(f329(f83(x54543),x54541),x54541),f329(f329(f83(x54543),x54542),x54542)) % 166.45/166.23 [5492]~P99(x54921)+E(f329(f81(x54921),x54922),x54923)+~E(f329(f329(f115(x54921),x54922),x54923),f247(x54921))+~E(f329(f329(f106(x54921),x54922),x54923),f191(x54921)) % 166.45/166.23 [5569]~P117(x55693)+E(x55691,x55692)+P1(f329(f329(f240(x55693),x55692),x55691))+P1(f329(f329(f240(x55693),x55691),x55692)) % 166.45/166.23 [5570]~P105(x55703)+E(x55701,x55702)+P1(f329(f329(f240(x55703),x55702),x55701))+P1(f329(f329(f240(x55703),x55701),x55702)) % 166.45/166.23 [5571]~E(x55712,x55713)+~P105(x55711)+P1(f329(f329(f240(x55711),x55712),x55713))+P1(f329(f329(f239(x55711),x55712),x55713)) % 166.45/166.23 [5831]~P112(x58313)+E(x58311,x58312)+~P1(f329(f329(f239(x58313),x58312),x58311))+P1(f329(f329(f240(x58313),x58312),x58311)) % 166.45/166.23 [5833]~P105(x58333)+E(x58331,x58332)+~P1(f329(f329(f239(x58333),x58331),x58332))+P1(f329(f329(f240(x58333),x58331),x58332)) % 166.45/166.23 [5839]~P112(x58393)+E(x58391,x58392)+~P1(f329(f329(f239(x58393),x58391),x58392))+P1(f329(f329(f240(x58393),x58391),x58392)) % 166.45/166.23 [5945]P149(x59451,x59452,x59453)+~P1(f329(x59451,x59452))+P1(f329(f329(f240(a1),x59453),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x59453)) % 166.45/166.23 [5994]P150(x59941,x59942,x59943)+~P1(f329(x59941,f2(a1)))+P1(f329(f329(f240(a1),x59943),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x59943)) % 166.45/166.23 [5999]~P2(x59991)+E(f329(f329(f115(x59991),x59992),f10(x59991,x59993)),x59992)+~P1(f329(f63(x59991),x59993))+~P1(f329(f329(f331(x59991),x59992),x59993)) % 166.45/166.23 [6000]~P2(x60001)+E(f329(f329(f106(x60001),x60002),f13(x60001,x60003)),x60002)+~P1(f329(f63(x60001),x60003))+~P1(f329(f329(f331(x60001),x60002),x60003)) % 166.45/166.23 [6036]~P2(x60361)+E(f329(f329(f115(x60361),x60362),f13(x60361,x60363)),f13(x60361,x60363))+~P1(f329(f63(x60361),x60363))+~P1(f329(f329(f331(x60361),x60362),x60363)) % 166.45/166.23 [6037]~P2(x60371)+E(f329(f329(f106(x60371),x60372),f10(x60371,x60373)),f10(x60371,x60373))+~P1(f329(f63(x60371),x60373))+~P1(f329(f329(f331(x60371),x60372),x60373)) % 166.45/166.23 [6038]~P105(x60381)+E(f329(f329(f237(x60381),x60382),f14(x60381,x60383)),f14(x60381,x60383))+~P1(f329(f63(x60381),x60383))+~P1(f329(f329(f331(x60381),x60382),x60383)) % 166.45/166.23 [6039]~P105(x60391)+E(f329(f329(f238(x60391),x60392),f15(x60391,x60393)),f15(x60391,x60393))+~P1(f329(f63(x60391),x60393))+~P1(f329(f329(f331(x60391),x60392),x60393)) % 166.45/166.23 [6080]E(x60801,x60802)+~P112(x60803)+~P1(f329(f329(f239(x60803),x60802),x60801))+~P1(f329(f329(f239(x60803),x60801),x60802)) % 166.45/166.23 [6225]~P104(x62251)+P1(f329(f329(f240(x62251),x62253),x62252))+~P1(f329(f329(f239(x62251),x62253),x62252))+P1(f329(f329(f239(x62251),x62252),x62253)) % 166.45/166.23 [6251]~P105(x62511)+~P1(f329(f63(x62511),x62513))+P1(f329(f329(f239(x62511),x62512),f15(x62511,x62513)))+~P1(f329(f329(f331(x62511),x62512),x62513)) % 166.45/166.23 [6296]~P105(x62961)+E(f329(f329(f237(x62961),x62962),f12(x62961,f238(x62961),x62963)),x62962)+~P1(f329(f63(x62961),x62963))+~P1(f329(f329(f331(x62961),x62962),x62963)) % 166.45/166.23 [6297]~P105(x62971)+E(f329(f329(f238(x62971),x62972),f11(x62971,f237(x62971),x62973)),x62972)+~P1(f329(f63(x62971),x62973))+~P1(f329(f329(f331(x62971),x62972),x62973)) % 166.45/166.23 [6436]E(x64361,x64362)+~E(f329(f329(f23(a905),x64361),x64363),f329(f329(f23(a905),x64362),x64363))+~P1(f329(f329(f239(a905),x64363),x64361))+~P1(f329(f329(f239(a905),x64363),x64362)) % 166.45/166.23 [6463]~P105(x64631)+~P1(f329(f63(x64631),x64632))+~P1(f329(f329(f331(x64631),x64633),x64632))+P1(f329(f329(f239(x64631),f14(x64631,x64632)),x64633)) % 166.45/166.23 [6531]P150(x65312,x65313,x65311)+E(x65311,f2(a1))+P1(f329(f329(f240(a1),x65311),f843(x65311,x65313,x65312)))+P1(f329(f329(f240(a1),f2(a1)),x65311)) % 166.45/166.23 [6532]P149(x65322,x65323,x65321)+E(x65321,f2(a1))+P1(f329(f329(f240(a1),x65321),f848(x65321,x65323,x65322)))+P1(f329(f329(f240(a1),f2(a1)),x65321)) % 166.45/166.23 [6533]~P105(x65331)+E(f329(f329(f237(x65331),x65332),f11(x65331,f237(x65331),x65333)),f11(x65331,f237(x65331),x65333))+~P1(f329(f63(x65331),x65333))+~P1(f329(f329(f331(x65331),x65332),x65333)) % 166.45/166.23 [6534]~P105(x65341)+E(f329(f329(f238(x65341),x65342),f12(x65341,f238(x65341),x65343)),f12(x65341,f238(x65341),x65343))+~P1(f329(f63(x65341),x65343))+~P1(f329(f329(f331(x65341),x65342),x65343)) % 166.45/166.23 [6540]~P1(f329(x65401,x65402))+P1(f329(x65401,f490(x65402,x65401,x65403)))+P1(f329(x65401,f2(a905)))+~P1(f329(f329(f240(a905),x65402),x65403)) % 166.45/166.23 [6595]~P1(f329(x65951,x65952))+~P1(f329(f63(x65953),x65952))+P1(f329(x65951,f852(x65951,x65952,x65953)))+P1(f329(x65951,f191(f913(x65953,a900)))) % 166.45/166.23 [6610]~P117(x66101)+~P97(x66101)+P1(f329(f329(f239(x66101),f329(f108(x66101),x66102)),f329(f108(x66101),x66103)))+~P1(f329(f329(f239(a1),x66102),x66103)) % 166.45/166.23 [6611]~P117(x66111)+~P97(x66111)+P1(f329(f329(f240(x66111),f329(f108(x66111),x66112)),f329(f108(x66111),x66113)))+~P1(f329(f329(f240(a1),x66112),x66113)) % 166.45/166.23 [6614]~P1(f329(x66141,x66143))+~P1(f329(f63(x66142),x66143))+P1(f329(f63(x66142),f852(x66141,x66143,x66142)))+P1(f329(x66141,f191(f913(x66142,a900)))) % 166.45/166.23 [6647]P149(x66471,x66472,x66473)+~P1(f329(x66471,x66472))+P1(f329(f329(f240(a1),x66473),f848(x66473,x66472,x66471)))+P1(f329(f329(f240(a1),f2(a1)),x66473)) % 166.45/166.23 [6685]P150(x66851,x66852,x66853)+P1(f329(f329(f240(a1),x66853),f843(x66853,x66852,x66851)))+~P1(f329(x66851,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x66853)) % 166.45/166.23 [6716]~P113(x67161)+~P98(x67161)+E(f329(f329(f237(x67161),f329(f108(x67161),x67162)),f329(f108(x67161),x67163)),f329(f108(x67161),x67163))+P1(f329(f329(f239(x67161),f329(f108(x67161),x67162)),f329(f108(x67161),x67163))) % 166.45/166.23 [6717]~P113(x67171)+~P98(x67171)+E(f329(f329(f238(x67171),f329(f108(x67171),x67172)),f329(f108(x67171),x67173)),f329(f108(x67171),x67172))+P1(f329(f329(f239(x67171),f329(f108(x67171),x67172)),f329(f108(x67171),x67173))) % 166.45/166.23 [6774]P150(x67742,x67743,x67741)+E(x67741,f2(a1))+~P1(f329(x67742,f847(x67741,x67743,x67742)))+P1(f329(f329(f240(a1),f2(a1)),x67741)) % 166.45/166.23 [6775]P149(x67752,x67753,x67751)+E(x67751,f2(a1))+~P1(f329(x67752,f848(x67751,x67753,x67752)))+P1(f329(f329(f240(a1),f2(a1)),x67751)) % 166.45/166.23 [6779]P1(f329(x67791,x67792))+~P1(f329(f63(x67793),x67792))+P1(f329(x67791,f783(x67791,x67792,x67793)))+~P1(f329(x67791,f191(f913(x67793,a900)))) % 166.45/166.23 [6800]P1(f329(x68001,x68002))+P1(f329(f63(x68003),f783(x68001,x68002,x68003)))+~P1(f329(f63(x68003),x68002))+~P1(f329(x68001,f191(f913(x68003,a900)))) % 166.45/166.23 [6862]P149(x68621,x68622,x68623)+~P1(f329(x68621,x68622))+~P1(f329(x68621,f848(x68623,x68622,x68621)))+P1(f329(f329(f240(a1),f2(a1)),x68623)) % 166.45/166.23 [6892]P150(x68921,x68922,x68923)+~P1(f329(x68921,f847(x68923,x68922,x68921)))+~P1(f329(x68921,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x68923)) % 166.45/166.23 [6996]~P97(x69963)+~P117(x69963)+~P1(f329(f329(f239(x69963),f329(f108(x69963),x69961)),f329(f108(x69963),x69962)))+P1(f329(f329(f239(a1),x69961),x69962)) % 166.45/166.23 [6997]~P97(x69973)+~P117(x69973)+~P1(f329(f329(f240(x69973),f329(f108(x69973),x69971)),f329(f108(x69973),x69972)))+P1(f329(f329(f240(a1),x69971),x69972)) % 166.45/166.23 [7027]~P105(x70271)+~P12(x70271,x70273)+P12(x70271,f329(f329(f154(x70271),x70272),x70273))+~P1(f329(f329(f239(x70271),x70272),f735(x70273,x70272,x70271))) % 166.45/166.23 [7028]~P105(x70281)+~P12(x70281,x70283)+P12(x70281,f329(f329(f154(x70281),x70282),x70283))+~P1(f329(f329(f239(x70281),x70282),f738(x70283,x70282,x70281))) % 166.45/166.23 [7029]~P105(x70291)+~P12(x70291,x70293)+P12(x70291,f329(f329(f154(x70291),x70292),x70293))+~P1(f329(f329(f239(x70291),x70292),f764(x70292,x70293,x70291))) % 166.45/166.23 [7112]P150(x71122,x71123,x71121)+E(x71121,f2(a1))+P1(f329(f329(f240(a1),x71121),f2(a1)))+P1(f329(f329(f240(a1),f844(x71121,x71123,x71122)),x71121)) % 166.45/166.23 [7113]P149(x71132,x71133,x71131)+E(x71131,f2(a1))+P1(f329(f329(f240(a1),x71131),f2(a1)))+P1(f329(f329(f240(a1),f849(x71131,x71133,x71132)),x71131)) % 166.45/166.23 [7148]P150(x71482,x71483,x71481)+E(x71481,f2(a1))+P1(f329(f329(f239(a1),f843(x71481,x71483,x71482)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71481)) % 166.45/166.23 [7149]P149(x71492,x71493,x71491)+E(x71491,f2(a1))+P1(f329(f329(f239(a1),f848(x71491,x71493,x71492)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71491)) % 166.45/166.23 [7174]~P105(x71741)+~P12(x71741,x71743)+E(f329(f329(f151(x71741,x71741,f5(x71741)),x71742),f173(x71741,x71742,x71743)),x71743)+~P1(f329(f329(f331(x71741),x71742),f329(f175(x71741),x71743))) % 166.45/166.23 [7220]P149(x72201,x72202,x72203)+~P1(f329(x72201,x72202))+P1(f329(f329(f240(a1),x72203),f2(a1)))+P1(f329(f329(f240(a1),f849(x72203,x72202,x72201)),x72203)) % 166.45/166.23 [7226]~P113(x72261)+~P98(x72261)+E(f329(f329(f237(x72261),f329(f108(x72261),x72262)),f329(f108(x72261),x72263)),f329(f108(x72261),x72262))+~P1(f329(f329(f239(x72261),f329(f108(x72261),x72262)),f329(f108(x72261),x72263))) % 166.45/166.23 [7227]~P113(x72271)+~P98(x72271)+E(f329(f329(f238(x72271),f329(f108(x72271),x72272)),f329(f108(x72271),x72273)),f329(f108(x72271),x72273))+~P1(f329(f329(f239(x72271),f329(f108(x72271),x72272)),f329(f108(x72271),x72273))) % 166.45/166.23 [7241]P150(x72411,x72412,x72413)+~P1(f329(x72411,f2(a1)))+P1(f329(f329(f240(a1),x72413),f2(a1)))+P1(f329(f329(f240(a1),f844(x72413,x72412,x72411)),x72413)) % 166.45/166.23 [7249]P149(x72491,x72492,x72493)+~P1(f329(x72491,x72492))+P1(f329(f329(f239(a1),f848(x72493,x72492,x72491)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72493)) % 166.45/166.23 [7273]P150(x72731,x72732,x72733)+~P1(f329(x72731,f2(a1)))+P1(f329(f329(f239(a1),f843(x72733,x72732,x72731)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72733)) % 166.45/166.23 [7300]~P1(f329(x73001,x73002))+P1(f329(x73001,f2(a905)))+~P1(f329(f329(f240(a905),x73002),x73003))+P1(f329(f329(f240(a905),f490(x73002,x73001,x73003)),x73003)) % 166.45/166.23 [7317]~P105(x73171)+~P12(x73171,x73173)+P12(x73171,f329(f329(f154(x73171),x73172),x73173))+P1(f329(f329(f331(x73171),f735(x73173,x73172,x73171)),f329(f175(x73171),x73173))) % 166.45/166.23 [7318]~P105(x73181)+~P12(x73181,x73183)+P12(x73181,f329(f329(f154(x73181),x73182),x73183))+P1(f329(f329(f331(x73181),f738(x73183,x73182,x73181)),f329(f175(x73181),x73183))) % 166.45/166.23 [7319]~P105(x73191)+~P12(x73191,x73193)+P12(x73191,f329(f329(f154(x73191),x73192),x73193))+P1(f329(f329(f331(x73191),f764(x73192,x73193,x73191)),f329(f175(x73191),x73193))) % 166.45/166.23 [7439]~P105(x74391)+~P4(x74391)+~P1(f329(f329(f240(x74391),x74393),f39(x74391,x74392)))+P1(f329(f329(f331(x74391),f613(x74392,x74393,x74391)),x74392)) % 166.45/166.23 [7601]~P105(x76011)+~P4(x76011)+~P1(f329(f329(f240(x76011),f40(x76011,x76013)),x76012))+P1(f329(f329(f331(x76011),f614(x76012,x76013,x76011)),x76013)) % 166.45/166.23 [7602]~P105(x76021)+~P4(x76021)+~P1(f329(f329(f240(x76021),f40(x76021,x76023)),x76022))+P1(f329(f329(f240(x76021),f614(x76022,x76023,x76021)),x76022)) % 166.45/166.23 [7615]P150(x76152,x76153,x76151)+E(x76151,f2(a1))+P1(f329(f329(f240(a1),x76151),f843(x76151,x76153,x76152)))+P1(f329(f329(f240(a1),f844(x76151,x76153,x76152)),x76151)) % 166.45/166.23 [7616]P149(x76162,x76163,x76161)+E(x76161,f2(a1))+P1(f329(f329(f240(a1),x76161),f848(x76161,x76163,x76162)))+P1(f329(f329(f240(a1),f849(x76161,x76163,x76162)),x76161)) % 166.45/166.23 [7705]P150(x77053,x77052,x77051)+E(x77051,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77051),f847(x77051,x77052,x77053))),f843(x77051,x77052,x77053)),x77052)+P1(f329(f329(f240(a1),f2(a1)),x77051)) % 166.45/166.23 [7706]P149(x77063,x77062,x77061)+E(x77061,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77061),f851(x77061,x77062,x77063))),f848(x77061,x77062,x77063)),x77062)+P1(f329(f329(f240(a1),f2(a1)),x77061)) % 166.45/166.23 [7708]~P129(x77081)+~P1(f329(f329(f239(x77081),x77083),f2(x77081)))+P1(f329(f329(f239(x77081),f329(f329(f83(x77081),x77082),x77083)),f2(x77081)))+~P1(f329(f329(f239(x77081),f2(x77081)),x77082)) % 166.45/166.23 [7709]~P129(x77091)+~P1(f329(f329(f239(x77091),x77092),f2(x77091)))+P1(f329(f329(f239(x77091),f329(f329(f83(x77091),x77092),x77093)),f2(x77091)))+~P1(f329(f329(f239(x77091),f2(x77091)),x77093)) % 166.45/166.23 [7711]~P136(x77111)+~P1(f329(f329(f239(x77111),x77113),f2(x77111)))+P1(f329(f329(f239(x77111),f329(f329(f83(x77111),x77112),x77113)),f2(x77111)))+~P1(f329(f329(f239(x77111),f2(x77111)),x77112)) % 166.45/166.23 [7713]~P136(x77131)+~P1(f329(f329(f239(x77131),x77132),f2(x77131)))+P1(f329(f329(f239(x77131),f329(f329(f83(x77131),x77132),x77133)),f2(x77131)))+~P1(f329(f329(f239(x77131),f2(x77131)),x77133)) % 166.45/166.23 [7714]~P73(x77141)+~P1(f329(f329(f239(x77141),x77142),f2(x77141)))+P1(f329(f329(f239(x77141),f329(f329(f292(x77141),x77142),x77143)),f2(x77141)))+~P1(f329(f329(f240(x77141),f2(x77141)),x77143)) % 166.45/166.23 [7715]~P73(x77151)+~P1(f329(f329(f240(x77151),x77153),f2(x77151)))+P1(f329(f329(f239(x77151),f329(f329(f292(x77151),x77152),x77153)),f2(x77151)))+~P1(f329(f329(f239(x77151),f2(x77151)),x77152)) % 166.45/166.23 [7716]~P72(x77161)+~P1(f329(f329(f239(x77161),x77163),f2(x77161)))+P1(f329(f329(f239(x77161),f329(f329(f292(x77161),x77162),x77163)),f2(x77161)))+~P1(f329(f329(f239(x77161),f2(x77161)),x77162)) % 166.45/166.23 [7717]~P72(x77171)+~P1(f329(f329(f239(x77171),x77172),f2(x77171)))+P1(f329(f329(f239(x77171),f329(f329(f292(x77171),x77172),x77173)),f2(x77171)))+~P1(f329(f329(f239(x77171),f2(x77171)),x77173)) % 166.45/166.23 [7719]~P132(x77191)+~P1(f329(f329(f240(x77191),x77193),f2(x77191)))+P1(f329(f329(f240(x77191),f329(f329(f83(x77191),x77192),x77193)),f2(x77191)))+~P1(f329(f329(f240(x77191),f2(x77191)),x77192)) % 166.45/166.23 [7720]~P132(x77201)+~P1(f329(f329(f240(x77201),x77202),f2(x77201)))+P1(f329(f329(f240(x77201),f329(f329(f83(x77201),x77202),x77203)),f2(x77201)))+~P1(f329(f329(f240(x77201),f2(x77201)),x77203)) % 166.45/166.23 [7721]~P73(x77211)+~P1(f329(f329(f240(x77211),x77213),f2(x77211)))+P1(f329(f329(f240(x77211),f329(f329(f292(x77211),x77212),x77213)),f2(x77211)))+~P1(f329(f329(f240(x77211),f2(x77211)),x77212)) % 166.45/166.23 [7722]~P73(x77221)+~P1(f329(f329(f240(x77221),x77222),f2(x77221)))+P1(f329(f329(f240(x77221),f329(f329(f292(x77221),x77222),x77223)),f2(x77221)))+~P1(f329(f329(f240(x77221),f2(x77221)),x77223)) % 166.45/166.23 [7723]~P72(x77231)+~P1(f329(f329(f240(x77231),x77233),f2(x77231)))+P1(f329(f329(f240(x77231),f329(f329(f292(x77231),x77232),x77233)),f2(x77231)))+~P1(f329(f329(f240(x77231),f2(x77231)),x77232)) % 166.45/166.23 [7724]~P72(x77241)+~P1(f329(f329(f240(x77241),x77242),f2(x77241)))+P1(f329(f329(f240(x77241),f329(f329(f292(x77241),x77242),x77243)),f2(x77241)))+~P1(f329(f329(f240(x77241),f2(x77241)),x77243)) % 166.45/166.23 [7740]P149(x77401,x77402,x77403)+~P1(f329(x77401,x77402))+P1(f329(f329(f240(a1),x77403),f848(x77403,x77402,x77401)))+P1(f329(f329(f240(a1),f849(x77403,x77402,x77401)),x77403)) % 166.45/166.23 [7753]P150(x77531,x77532,x77533)+P1(f329(f329(f240(a1),x77533),f843(x77533,x77532,x77531)))+~P1(f329(x77531,f2(a1)))+P1(f329(f329(f240(a1),f844(x77533,x77532,x77531)),x77533)) % 166.45/166.23 [7804]P150(x78042,x78043,x78041)+E(x78041,f2(a1))+~P1(f329(x78042,f847(x78041,x78043,x78042)))+P1(f329(f329(f240(a1),f844(x78041,x78043,x78042)),x78041)) % 166.45/166.23 [7805]P149(x78052,x78053,x78051)+E(x78051,f2(a1))+~P1(f329(x78052,f848(x78051,x78053,x78052)))+P1(f329(f329(f240(a1),f849(x78051,x78053,x78052)),x78051)) % 166.45/166.23 [7815]P149(x78153,x78152,x78151)+~P1(f329(x78153,x78152))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78151),f851(x78151,x78152,x78153))),f848(x78151,x78152,x78153)),x78152)+P1(f329(f329(f240(a1),f2(a1)),x78151)) % 166.45/166.23 [7831]P150(x78313,x78312,x78311)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78311),f847(x78311,x78312,x78313))),f843(x78311,x78312,x78313)),x78312)+~P1(f329(x78313,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78311)) % 166.45/166.23 [7859]~P1(f329(x78591,x78593))+~P1(f329(f63(x78592),x78593))+P1(f329(f329(f331(x78592),f853(x78591,x78593,x78592)),f852(x78591,x78593,x78592)))+P1(f329(x78591,f191(f913(x78592,a900)))) % 166.45/166.23 [7870]P149(x78701,x78702,x78703)+~P1(f329(x78701,x78702))+~P1(f329(x78701,f848(x78703,x78702,x78701)))+P1(f329(f329(f240(a1),f849(x78703,x78702,x78701)),x78703)) % 166.45/166.23 [7876]P150(x78761,x78762,x78763)+~P1(f329(x78761,f847(x78763,x78762,x78761)))+~P1(f329(x78761,f2(a1)))+P1(f329(f329(f240(a1),f844(x78763,x78762,x78761)),x78763)) % 166.45/166.23 [7984]~P129(x79841)+~P1(f329(f329(f239(x79841),f329(f329(f83(x79841),x79843),x79842)),f2(x79841)))+P1(f329(f329(f239(x79841),x79842),f2(x79841)))+P1(f329(f329(f239(x79841),f2(x79841)),x79842)) % 166.45/166.23 [7985]~P129(x79851)+~P1(f329(f329(f239(x79851),f329(f329(f83(x79851),x79852),x79853)),f2(x79851)))+P1(f329(f329(f239(x79851),x79852),f2(x79851)))+P1(f329(f329(f239(x79851),f2(x79851)),x79852)) % 166.45/166.23 [7986]~P72(x79861)+~P1(f329(f329(f239(x79861),f329(f329(f292(x79861),x79863),x79862)),f2(x79861)))+P1(f329(f329(f239(x79861),x79862),f2(x79861)))+P1(f329(f329(f239(x79861),f2(x79861)),x79862)) % 166.45/166.23 [7987]~P72(x79871)+~P1(f329(f329(f239(x79871),f329(f329(f292(x79871),x79872),x79873)),f2(x79871)))+P1(f329(f329(f239(x79871),x79872),f2(x79871)))+P1(f329(f329(f239(x79871),f2(x79871)),x79872)) % 166.45/166.23 [7988]~P72(x79881)+~P1(f329(f329(f240(x79881),f329(f329(f292(x79881),x79883),x79882)),f2(x79881)))+P1(f329(f329(f240(x79881),x79882),f2(x79881)))+P1(f329(f329(f240(x79881),f2(x79881)),x79882)) % 166.45/166.23 [7989]~P72(x79891)+~P1(f329(f329(f240(x79891),f329(f329(f292(x79891),x79892),x79893)),f2(x79891)))+P1(f329(f329(f240(x79891),x79892),f2(x79891)))+P1(f329(f329(f240(x79891),f2(x79891)),x79892)) % 166.45/166.23 [8013]~P129(x80131)+~P1(f329(f329(f239(x80131),f329(f329(f83(x80131),x80132),x80133)),f2(x80131)))+P1(f329(f329(f239(x80131),f2(x80131)),x80132))+P1(f329(f329(f239(x80131),f2(x80131)),x80133)) % 166.45/166.23 [8014]~P72(x80141)+~P1(f329(f329(f239(x80141),f329(f329(f292(x80141),x80142),x80143)),f2(x80141)))+P1(f329(f329(f239(x80141),f2(x80141)),x80142))+P1(f329(f329(f239(x80141),f2(x80141)),x80143)) % 166.45/166.23 [8015]~P72(x80151)+~P1(f329(f329(f240(x80151),f329(f329(f292(x80151),x80152),x80153)),f2(x80151)))+P1(f329(f329(f240(x80151),f2(x80151)),x80152))+P1(f329(f329(f240(x80151),f2(x80151)),x80153)) % 166.45/166.23 [8037]P150(x80372,x80373,x80371)+E(x80371,f2(a1))+P1(f329(f329(f239(a1),f843(x80371,x80373,x80372)),f2(a1)))+P1(f329(f329(f240(a1),f844(x80371,x80373,x80372)),x80371)) % 166.45/166.23 [8038]P149(x80382,x80383,x80381)+E(x80381,f2(a1))+P1(f329(f329(f239(a1),f848(x80381,x80383,x80382)),f2(a1)))+P1(f329(f329(f240(a1),f849(x80381,x80383,x80382)),x80381)) % 166.45/166.23 [8045]~P127(x80451)+~P1(f329(f329(f240(x80451),x80452),f80(x80451)))+P1(f329(f329(f240(x80451),f329(f329(f249(x80451),x80452),f329(a117,x80453))),f80(x80451)))+~P1(f329(f329(f240(x80451),f2(x80451)),x80452)) % 166.45/166.23 [8101]~P105(x81011)+~E(x81013,f118(x81011))+~P12(x81011,f329(f171(x81011),x81013))+E(f329(f145(x81011,x81011,f329(f7(x81011,x81011,x81011),f238(x81011)),x81012),f329(f171(x81011),x81013)),x81012) % 166.45/166.23 [8104]P149(x81041,x81042,x81043)+~P1(f329(x81041,x81042))+P1(f329(f329(f239(a1),f848(x81043,x81042,x81041)),f2(a1)))+P1(f329(f329(f240(a1),f849(x81043,x81042,x81041)),x81043)) % 166.45/166.23 [8114]P150(x81141,x81142,x81143)+~P1(f329(x81141,f2(a1)))+P1(f329(f329(f239(a1),f843(x81143,x81142,x81141)),f2(a1)))+P1(f329(f329(f240(a1),f844(x81143,x81142,x81141)),x81143)) % 166.45/166.23 [8336]P150(x83363,x83362,x83361)+E(x83361,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83361),f847(x83361,x83362,x83363))),f843(x83361,x83362,x83363)),x83362)+P1(f329(f329(f240(a1),f844(x83361,x83362,x83363)),x83361)) % 166.45/166.23 [8337]P149(x83373,x83372,x83371)+E(x83371,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83371),f851(x83371,x83372,x83373))),f848(x83371,x83372,x83373)),x83372)+P1(f329(f329(f240(a1),f849(x83371,x83372,x83373)),x83371)) % 166.45/166.23 [8372]P149(x83723,x83722,x83721)+~P1(f329(x83723,x83722))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83721),f851(x83721,x83722,x83723))),f848(x83721,x83722,x83723)),x83722)+P1(f329(f329(f240(a1),f849(x83721,x83722,x83723)),x83721)) % 166.45/166.23 [8373]~P74(x83731)+~P80(x83731)+~P41(x83733)+E(f329(f329(f6(a905,x83731),f329(f329(f8(a1,x83731,a905),x83732),f105(a1))),f329(f312(a1,a905,a109),x83733)),f329(f329(f6(a1,x83731),x83732),x83733)) % 166.45/166.23 [8374]~P74(x83741)+~P80(x83741)+~P41(x83743)+E(f329(f329(f9(a905,x83741),f329(f329(f8(a1,x83741,a905),x83742),f105(a1))),f329(f312(a1,a905,a109),x83743)),f329(f329(f9(a1,x83741),x83742),x83743)) % 166.45/166.23 [8383]P150(x83833,x83832,x83831)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83831),f847(x83831,x83832,x83833))),f843(x83831,x83832,x83833)),x83832)+~P1(f329(x83833,f2(a1)))+P1(f329(f329(f240(a1),f844(x83831,x83832,x83833)),x83831)) % 166.45/166.23 [8406]~E(x84062,f2(a905))+~E(f329(f256(a905,a905),x84063),f2(a905))+~E(x84061,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x84063)),x84062)),f329(f261(a905,a905),x84063)))+P1(f329(f50(x84061,x84062),x84063)) % 166.45/166.23 [8462]P1(f329(x84621,x84622))+~P1(f329(f329(f331(x84623),f788(x84621,x84622,x84623)),f783(x84621,x84622,x84623)))+~P1(f329(f63(x84623),x84622))+~P1(f329(x84621,f191(f913(x84623,a900)))) % 166.45/166.23 [9085]P1(f329(x90851,x90852))+~P1(f329(f63(x90853),x90852))+~P1(f329(x90851,f329(f329(f311(x90853),f788(x90851,x90852,x90853)),f783(x90851,x90852,x90853))))+~P1(f329(x90851,f191(f913(x90853,a900)))) % 166.45/166.23 [9329]P1(f329(f329(f239(a1),x93291),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x93293),x93291)),x93292)),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x93292))+~P1(f329(f329(f240(a1),f2(a1)),x93293)) % 166.45/166.23 [5900]~P2(x59002)+E(x59001,f191(f913(x59002,a900)))+~P1(f329(f63(x59002),x59001))+E(f10(x59002,f329(f329(f311(x59002),x59003),x59001)),f329(f329(f106(x59002),x59003),f10(x59002,x59001))) % 166.45/166.23 [5901]~P2(x59012)+E(x59011,f191(f913(x59012,a900)))+~P1(f329(f63(x59012),x59011))+E(f13(x59012,f329(f329(f311(x59012),x59013),x59011)),f329(f329(f115(x59012),x59013),f13(x59012,x59011))) % 166.45/166.23 [5902]~P105(x59022)+E(x59021,f191(f913(x59022,a900)))+~P1(f329(f63(x59022),x59021))+E(f14(x59022,f329(f329(f311(x59022),x59023),x59021)),f329(f329(f237(x59022),x59023),f14(x59022,x59021))) % 166.45/166.23 [5903]~P105(x59032)+E(x59031,f191(f913(x59032,a900)))+~P1(f329(f63(x59032),x59031))+E(f15(x59032,f329(f329(f311(x59032),x59033),x59031)),f329(f329(f238(x59032),x59033),f15(x59032,x59031))) % 166.45/166.23 [6222]~P129(x62221)+~E(x62223,f2(x62221))+~E(x62222,f2(x62221))+E(f329(f329(f82(x62221),f329(f329(f83(x62221),x62222),x62222)),f329(f329(f83(x62221),x62223),x62223)),f2(x62221)) % 166.45/166.23 [6289]~P100(x62892)+E(x62891,f191(f913(x62892,a900)))+~P1(f329(f63(x62892),x62891))+E(f329(f65(x62892,f83(x62892)),f329(f329(f311(x62892),x62893),x62891)),f329(f329(f83(x62892),x62893),f329(f65(x62892,f83(x62892)),x62891))) % 166.45/166.23 [6414]~P105(x64142)+E(x64141,f191(f913(x64142,a900)))+~P1(f329(f63(x64142),x64141))+E(f11(x64142,f237(x64142),f329(f329(f311(x64142),x64143),x64141)),f329(f329(f237(x64142),x64143),f11(x64142,f237(x64142),x64141))) % 166.45/166.23 [6415]~P105(x64152)+E(x64151,f191(f913(x64152,a900)))+~P1(f329(f63(x64152),x64151))+E(f12(x64152,f238(x64152),f329(f329(f311(x64152),x64153),x64151)),f329(f329(f238(x64152),x64153),f12(x64152,f238(x64152),x64151))) % 166.45/166.23 [6926]~P78(x69261)+~P1(f329(f63(x69261),x69263))+E(f329(f65(x69261,f83(x69261)),f329(f329(f311(x69261),x69262),x69263)),f329(f329(f66(x69261,x69261,f83(x69261)),x69262),x69263))+P1(f329(f329(f331(x69261),x69262),x69263)) % 166.45/166.23 [7004]~E(f329(f329(f82(a1),x70042),f329(f329(f83(a1),x70043),x70041)),x70043)+~P1(f329(f329(f240(a1),f2(a1)),x70043))+P1(f329(f329(f239(a1),f80(a1)),x70041))+~P1(f329(f329(f240(a1),x70042),x70043)) % 166.45/166.23 [7034]~E(f329(f329(f82(a1),x70342),f329(f329(f83(a1),x70343),x70341)),x70343)+P1(f329(f329(f239(a1),x70341),f80(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x70342))+~P1(f329(f329(f240(a1),f2(a1)),x70343)) % 166.45/166.23 [7049]E(x70491,f2(a905))+~P1(f329(f50(x70493,x70491),x70492))+~P1(f329(f329(f240(a905),f2(a905)),x70491))+P1(f329(f329(f240(a905),f329(f261(a905,a905),x70492)),x70491)) % 166.45/166.23 [7080]~P140(x70801)+~P1(f329(f329(f239(x70801),x70802),f2(x70801)))+~P1(f329(f329(f239(x70801),x70803),f2(x70801)))+E(f329(f329(f83(x70801),f329(f77(x70801),x70802)),f329(f77(x70801),x70803)),f329(f77(x70801),f329(f329(f83(x70801),x70802),x70803))) % 166.45/166.23 [7125]~P140(x71251)+~P1(f329(f329(f239(x71251),x71252),f2(x71251)))+E(f329(f329(f83(x71251),f329(f77(x71251),x71252)),f329(f77(x71251),x71253)),f329(f77(x71251),f329(f329(f83(x71251),x71252),x71253)))+~P1(f329(f329(f239(x71251),f2(x71251)),x71253)) % 166.45/166.23 [7126]~P140(x71261)+~P1(f329(f329(f239(x71261),x71263),f2(x71261)))+E(f329(f329(f83(x71261),f329(f77(x71261),x71262)),f329(f77(x71261),x71263)),f329(f77(x71261),f329(f329(f83(x71261),x71262),x71263)))+~P1(f329(f329(f239(x71261),f2(x71261)),x71262)) % 166.45/166.23 [7182]~P140(x71821)+E(f329(f329(f83(x71821),f329(f77(x71821),x71822)),f329(f77(x71821),x71823)),f329(f77(x71821),f329(f329(f83(x71821),x71822),x71823)))+~P1(f329(f329(f239(x71821),f2(x71821)),x71822))+~P1(f329(f329(f239(x71821),f2(x71821)),x71823)) % 166.45/166.23 [7198]~P129(x71981)+~P1(f329(f329(f239(x71981),x71983),f2(x71981)))+~P1(f329(f329(f239(x71981),x71982),f2(x71981)))+P1(f329(f329(f239(x71981),f2(x71981)),f329(f329(f83(x71981),x71982),x71983))) % 166.45/166.23 [7200]~P137(x72001)+~P1(f329(f329(f239(x72001),x72003),f2(x72001)))+~P1(f329(f329(f239(x72001),x72002),f2(x72001)))+P1(f329(f329(f239(x72001),f2(x72001)),f329(f329(f83(x72001),x72002),x72003))) % 166.45/166.23 [7201]~P73(x72011)+~P1(f329(f329(f240(x72011),x72013),f2(x72011)))+~P1(f329(f329(f239(x72011),x72012),f2(x72011)))+P1(f329(f329(f239(x72011),f2(x72011)),f329(f329(f292(x72011),x72012),x72013))) % 166.45/166.23 [7202]~P72(x72021)+~P1(f329(f329(f239(x72021),x72023),f2(x72021)))+~P1(f329(f329(f239(x72021),x72022),f2(x72021)))+P1(f329(f329(f239(x72021),f2(x72021)),f329(f329(f292(x72021),x72022),x72023))) % 166.45/166.23 [7203]~P129(x72031)+~P1(f329(f329(f240(x72031),x72033),f2(x72031)))+~P1(f329(f329(f240(x72031),x72032),f2(x72031)))+P1(f329(f329(f240(x72031),f2(x72031)),f329(f329(f83(x72031),x72032),x72033))) % 166.45/166.23 [7204]~P73(x72041)+~P1(f329(f329(f240(x72041),x72043),f2(x72041)))+~P1(f329(f329(f240(x72041),x72042),f2(x72041)))+P1(f329(f329(f240(x72041),f2(x72041)),f329(f329(f292(x72041),x72042),x72043))) % 166.45/166.23 [7205]~P72(x72051)+~P1(f329(f329(f240(x72051),x72053),f2(x72051)))+~P1(f329(f329(f240(x72051),x72052),f2(x72051)))+P1(f329(f329(f240(x72051),f2(x72051)),f329(f329(f292(x72051),x72052),x72053))) % 166.45/166.23 [7206]~P127(x72061)+~P1(f329(f329(f240(a905),f2(a905)),x72063))+~P1(f329(f329(f240(x72061),f80(x72061)),x72062))+P1(f329(f329(f240(x72061),f80(x72061)),f329(f329(f249(x72061),x72062),x72063))) % 166.45/166.23 [7302]~P129(x73021)+~P1(f329(f329(f239(x73021),f2(x73021)),x73023))+~P1(f329(f329(f239(x73021),f2(x73021)),x73022))+P1(f329(f329(f239(x73021),f2(x73021)),f329(f329(f83(x73021),x73022),x73023))) % 166.45/166.23 [7303]~P136(x73031)+~P1(f329(f329(f239(x73031),f2(x73031)),x73033))+~P1(f329(f329(f239(x73031),f2(x73031)),x73032))+P1(f329(f329(f239(x73031),f2(x73031)),f329(f329(f83(x73031),x73032),x73033))) % 166.45/166.23 [7304]~P137(x73041)+~P1(f329(f329(f239(x73041),f2(x73041)),x73043))+~P1(f329(f329(f239(x73041),f2(x73041)),x73042))+P1(f329(f329(f239(x73041),f2(x73041)),f329(f329(f83(x73041),x73042),x73043))) % 166.45/166.23 [7305]~P73(x73051)+~P1(f329(f329(f240(x73051),f2(x73051)),x73053))+~P1(f329(f329(f239(x73051),f2(x73051)),x73052))+P1(f329(f329(f239(x73051),f2(x73051)),f329(f329(f292(x73051),x73052),x73053))) % 166.45/166.23 [7306]~P72(x73061)+~P1(f329(f329(f239(x73061),f2(x73061)),x73063))+~P1(f329(f329(f239(x73061),f2(x73061)),x73062))+P1(f329(f329(f239(x73061),f2(x73061)),f329(f329(f292(x73061),x73062),x73063))) % 166.45/166.23 [7309]~P90(x73091)+~P1(f329(f329(f240(x73091),f2(x73091)),x73093))+~P1(f329(f329(f240(x73091),f2(x73091)),x73092))+P1(f329(f329(f240(x73091),f2(x73091)),f329(f329(f82(x73091),x73092),x73093))) % 166.45/166.23 [7310]~P132(x73101)+~P1(f329(f329(f240(x73101),f2(x73101)),x73103))+~P1(f329(f329(f240(x73101),f2(x73101)),x73102))+P1(f329(f329(f240(x73101),f2(x73101)),f329(f329(f83(x73101),x73102),x73103))) % 166.45/166.23 [7311]~P73(x73111)+~P1(f329(f329(f240(x73111),f2(x73111)),x73113))+~P1(f329(f329(f240(x73111),f2(x73111)),x73112))+P1(f329(f329(f240(x73111),f2(x73111)),f329(f329(f292(x73111),x73112),x73113))) % 166.45/166.23 [7312]~P72(x73121)+~P1(f329(f329(f240(x73121),f2(x73121)),x73123))+~P1(f329(f329(f240(x73121),f2(x73121)),x73122))+P1(f329(f329(f240(x73121),f2(x73121)),f329(f329(f292(x73121),x73122),x73123))) % 166.45/166.23 [7313]~P127(x73131)+~P1(f329(f329(f240(x73131),f80(x73131)),x73133))+~P1(f329(f329(f240(x73131),f80(x73131)),x73132))+P1(f329(f329(f240(x73131),f80(x73131)),f329(f329(f83(x73131),x73132),x73133))) % 166.45/166.23 [7394]~P2(x73941)+~P1(f329(f63(x73941),x73943))+E(f10(x73941,f329(f329(f311(x73941),x73942),x73943)),x73942)+~E(f329(f329(f23(f913(x73941,a900)),x73943),f329(f329(f311(x73941),x73942),f191(f913(x73941,a900)))),f191(f913(x73941,a900))) % 166.45/166.23 [7395]~P2(x73951)+~P1(f329(f63(x73951),x73953))+E(f13(x73951,f329(f329(f311(x73951),x73952),x73953)),x73952)+~E(f329(f329(f23(f913(x73951,a900)),x73953),f329(f329(f311(x73951),x73952),f191(f913(x73951,a900)))),f191(f913(x73951,a900))) % 166.45/166.23 [7396]~P105(x73961)+~P1(f329(f63(x73961),x73963))+E(f14(x73961,f329(f329(f311(x73961),x73962),x73963)),x73962)+~E(f329(f329(f23(f913(x73961,a900)),x73963),f329(f329(f311(x73961),x73962),f191(f913(x73961,a900)))),f191(f913(x73961,a900))) % 166.45/166.23 [7397]~P105(x73971)+~P1(f329(f63(x73971),x73973))+E(f15(x73971,f329(f329(f311(x73971),x73972),x73973)),x73972)+~E(f329(f329(f23(f913(x73971,a900)),x73973),f329(f329(f311(x73971),x73972),f191(f913(x73971,a900)))),f191(f913(x73971,a900))) % 166.45/166.23 [7399]~P129(x73991)+P1(f329(f329(f239(x73991),x73992),f2(x73991)))+P1(f329(f329(f239(x73991),f2(x73991)),x73993))+~P1(f329(f329(f239(x73991),f2(x73991)),f329(f329(f83(x73991),x73993),x73992))) % 166.45/166.23 [7400]~P129(x74001)+P1(f329(f329(f239(x74001),x74002),f2(x74001)))+P1(f329(f329(f239(x74001),f2(x74001)),x74003))+~P1(f329(f329(f239(x74001),f2(x74001)),f329(f329(f83(x74001),x74002),x74003))) % 166.45/166.23 [7401]~P72(x74011)+P1(f329(f329(f239(x74011),x74012),f2(x74011)))+P1(f329(f329(f239(x74011),f2(x74011)),x74013))+~P1(f329(f329(f239(x74011),f2(x74011)),f329(f329(f292(x74011),x74013),x74012))) % 166.45/166.23 [7402]~P72(x74021)+P1(f329(f329(f239(x74021),x74022),f2(x74021)))+P1(f329(f329(f239(x74021),f2(x74021)),x74023))+~P1(f329(f329(f239(x74021),f2(x74021)),f329(f329(f292(x74021),x74022),x74023))) % 166.45/166.23 [7403]~P129(x74031)+P1(f329(f329(f239(x74031),x74032),f2(x74031)))+P1(f329(f329(f239(x74031),f2(x74031)),x74032))+~P1(f329(f329(f239(x74031),f2(x74031)),f329(f329(f83(x74031),x74033),x74032))) % 166.45/166.23 [7404]~P129(x74041)+P1(f329(f329(f239(x74041),x74042),f2(x74041)))+P1(f329(f329(f239(x74041),f2(x74041)),x74042))+~P1(f329(f329(f239(x74041),f2(x74041)),f329(f329(f83(x74041),x74042),x74043))) % 166.45/166.23 [7405]~P72(x74051)+P1(f329(f329(f239(x74051),x74052),f2(x74051)))+P1(f329(f329(f239(x74051),f2(x74051)),x74052))+~P1(f329(f329(f239(x74051),f2(x74051)),f329(f329(f292(x74051),x74053),x74052))) % 166.45/166.23 [7406]~P72(x74061)+P1(f329(f329(f239(x74061),x74062),f2(x74061)))+P1(f329(f329(f239(x74061),f2(x74061)),x74062))+~P1(f329(f329(f239(x74061),f2(x74061)),f329(f329(f292(x74061),x74062),x74063))) % 166.45/166.23 [7407]~P72(x74071)+P1(f329(f329(f240(x74071),x74072),f2(x74071)))+P1(f329(f329(f240(x74071),f2(x74071)),x74073))+~P1(f329(f329(f240(x74071),f2(x74071)),f329(f329(f292(x74071),x74073),x74072))) % 166.45/166.23 [7408]~P72(x74081)+P1(f329(f329(f240(x74081),x74082),f2(x74081)))+P1(f329(f329(f240(x74081),f2(x74081)),x74083))+~P1(f329(f329(f240(x74081),f2(x74081)),f329(f329(f292(x74081),x74082),x74083))) % 166.45/166.23 [7409]~P72(x74091)+P1(f329(f329(f240(x74091),x74092),f2(x74091)))+P1(f329(f329(f240(x74091),f2(x74091)),x74092))+~P1(f329(f329(f240(x74091),f2(x74091)),f329(f329(f292(x74091),x74093),x74092))) % 166.45/166.23 [7410]~P72(x74101)+P1(f329(f329(f240(x74101),x74102),f2(x74101)))+P1(f329(f329(f240(x74101),f2(x74101)),x74102))+~P1(f329(f329(f240(x74101),f2(x74101)),f329(f329(f292(x74101),x74102),x74103))) % 166.45/166.23 [7500]~E(f329(f329(f106(f913(x75001,a900)),f329(f175(x75001),x75002)),f329(f175(x75001),x75003)),f191(f913(x75001,a900)))+~P1(f329(f140(x75001),x75003))+~P1(f329(f140(x75001),x75002))+P1(f329(f140(x75001),f329(f329(f137(x75001),x75002),x75003))) % 166.45/166.23 [7501]~P105(x75011)+~P1(f329(f63(x75011),x75013))+E(f11(x75011,f237(x75011),f329(f329(f311(x75011),x75012),x75013)),x75012)+~E(f329(f329(f23(f913(x75011,a900)),x75013),f329(f329(f311(x75011),x75012),f191(f913(x75011,a900)))),f191(f913(x75011,a900))) % 166.45/166.23 [7502]~P105(x75021)+~P1(f329(f63(x75021),x75023))+E(f12(x75021,f238(x75021),f329(f329(f311(x75021),x75022),x75023)),x75022)+~E(f329(f329(f23(f913(x75021,a900)),x75023),f329(f329(f311(x75021),x75022),f191(f913(x75021,a900)))),f191(f913(x75021,a900))) % 166.45/166.23 [7519]~P89(x75191)+~P1(f329(f329(f239(x75191),x75192),x75193))+~P1(f329(f329(f239(x75191),f329(f81(x75191),x75192)),x75193))+P1(f329(f329(f239(x75191),f329(f77(x75191),x75192)),x75193)) % 166.45/166.23 [7520]~P117(x75201)+~P1(f329(f329(f240(x75201),x75202),x75203))+~P1(f329(f329(f240(x75201),f329(f81(x75201),x75202)),x75203))+P1(f329(f329(f240(x75201),f329(f77(x75201),x75202)),x75203)) % 166.45/166.23 [7591]~P132(x75911)+P1(f329(f329(f240(x75911),f2(x75911)),x75912))+~P1(f329(f329(f240(x75911),f2(x75911)),x75913))+~P1(f329(f329(f240(x75911),f2(x75911)),f329(f329(f83(x75911),x75913),x75912))) % 166.45/166.23 [7592]~P132(x75921)+P1(f329(f329(f240(x75921),f2(x75921)),x75922))+~P1(f329(f329(f240(x75921),f2(x75921)),x75923))+~P1(f329(f329(f240(x75921),f2(x75921)),f329(f329(f83(x75921),x75922),x75923))) % 166.45/166.23 [7892]E(x78921,x78922)+~P1(f329(f63(x78923),x78921))+~P1(f329(f329(f239(a905),f329(f37(x78923),x78921)),f329(f37(x78923),x78922)))+~P1(f329(f329(f239(f913(x78923,a900)),x78922),x78921)) % 166.45/166.23 [8042]~P1(f329(f329(f240(a1),x80421),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x80422))+~P1(f329(f329(f239(a1),x80422),x80423))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x80421),x80422)),f329(f329(f38(a1),x80421),x80423))) % 166.45/166.23 [8053]~P1(f329(f329(f239(a1),f2(a1)),x80531))+~P1(f329(f329(f240(a1),f2(a1)),x80533))+~P1(f329(f329(f239(a1),x80533),x80532))+P1(f329(f329(f239(a1),f329(f329(f38(a1),x80531),x80532)),f329(f329(f38(a1),x80531),x80533))) % 166.45/166.23 [8197]E(f329(x81971,f392(x81972,x81971,x81973)),x81972)+~P1(f329(f329(f239(a1),x81972),f329(x81971,x81973)))+P1(f329(f329(f240(a905),f393(x81972,x81971,x81973)),x81973))+~P1(f329(f329(f239(a1),f329(x81971,f2(a905))),x81972)) % 166.45/166.23 [8198]E(f329(x81981,f401(x81982,x81981,x81983)),x81982)+~P1(f329(f329(f239(a1),x81982),f329(x81981,x81983)))+P1(f329(f329(f240(a905),f402(x81982,x81981,x81983)),x81983))+~P1(f329(f329(f239(a1),f329(x81981,f2(a905))),x81982)) % 166.45/166.23 [8298]~P1(f329(f63(x82981),x82983))+~P1(f329(f329(f240(a905),f329(f37(x82981),x82982)),f329(f37(x82981),x82983)))+~P1(f329(f329(f239(f913(x82981,a900)),x82982),x82983))+P1(f329(f329(f240(f913(x82981,a900)),x82982),x82983)) % 166.45/166.23 [8325]E(f329(f329(f82(a1),f362(x83253,x83251,x83252)),f363(x83253,x83251,x83252)),x83251)+E(f329(f329(f23(a1),x83251),x83252),x83251)+~P1(f329(f329(f240(a1),f2(a1)),x83252))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x83251),f80(a1))),x83253)) % 166.45/166.23 [8326]E(f329(f329(f23(a1),f373(x83263,x83261,x83262)),f374(x83263,x83261,x83262)),x83261)+E(f329(f329(f82(a1),x83261),x83262),x83261)+~P1(f329(f329(f240(a1),f2(a1)),x83262))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x83261),f80(a1))),x83263)) % 166.45/166.23 [8378]~P1(f329(f329(f239(a905),x83783),x83781))+P1(f329(f329(f239(a905),x83781),x83782))+~P1(f329(f329(f239(a905),x83783),x83782))+~P1(f329(f329(f239(a905),f329(f329(f23(a905),x83781),x83783)),f329(f329(f23(a905),x83782),x83783))) % 166.45/166.23 [8379]~P1(f329(f329(f239(a905),x83793),x83791))+P1(f329(f329(f240(a905),x83791),x83792))+~P1(f329(f329(f239(a905),x83793),x83792))+~P1(f329(f329(f240(a905),f329(f329(f23(a905),x83791),x83793)),f329(f329(f23(a905),x83792),x83793))) % 166.45/166.23 [8398]~P105(x83982)+E(x83981,f118(x83982))+~P12(x83982,f329(f171(x83982),x83981))+E(f329(f145(x83982,x83982,f329(f7(x83982,x83982,x83982),f238(x83982)),x83983),f329(f171(x83982),x83981)),f329(f329(f238(x83982),f329(f329(f167(x83982),x83981),f2(a905))),x83983)) % 166.45/166.23 [8446]~P4(x84461)+~P40(x84461,x84461,x84463)+P1(f329(f329(f239(x84461),x84462),f101(x84461,x84463)))+~P1(f329(f329(f239(x84461),x84462),f329(x84463,f329(f329(f115(x84461),x84462),f101(x84461,x84463))))) % 166.45/166.23 [8467]E(f329(f329(f23(a1),x84671),x84672),x84671)+~P1(f329(f329(f240(a1),f2(a1)),x84672))+P1(f329(f329(f331(a1),f362(x84673,x84671,x84672)),x84673))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x84671),f80(a1))),x84673)) % 166.45/166.23 [8468]E(f329(f329(f82(a1),x84681),x84682),x84681)+~P1(f329(f329(f240(a1),f2(a1)),x84682))+P1(f329(f329(f331(a1),f373(x84683,x84681,x84682)),x84683))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x84681),f80(a1))),x84683)) % 166.45/166.23 [8541]~P1(f329(f329(f239(a1),x85411),f329(x85412,x85413)))+P1(f329(f329(f240(a905),f393(x85411,x85412,x85413)),x85413))+P1(f329(f329(f239(a905),f392(x85411,x85412,x85413)),x85413))+~P1(f329(f329(f239(a1),f329(x85412,f2(a905))),x85411)) % 166.45/166.23 [8542]~P1(f329(f329(f239(a1),x85421),f329(x85422,x85423)))+P1(f329(f329(f240(a905),f402(x85421,x85422,x85423)),x85423))+P1(f329(f329(f239(a905),f401(x85421,x85422,x85423)),x85423))+~P1(f329(f329(f239(a1),f329(x85422,f2(a905))),x85421)) % 166.45/166.23 [8625]E(f329(f329(f23(a1),x86251),x86252),x86251)+~P1(f329(f329(f240(a1),f2(a1)),x86252))+P1(f329(f329(f331(a1),f363(x86253,x86251,x86252)),f305(a1,f80(a1),x86252)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x86251),f80(a1))),x86253)) % 166.45/166.23 [8626]E(f329(f329(f82(a1),x86261),x86262),x86261)+~P1(f329(f329(f240(a1),f2(a1)),x86262))+P1(f329(f329(f331(a1),f374(x86263,x86261,x86262)),f305(a1,f80(a1),x86262)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x86261),f80(a1))),x86263)) % 166.45/166.23 [8756]~P127(x87561)+~P1(f329(f329(f240(x87561),x87562),f80(x87561)))+~P1(f329(f329(f240(x87561),f2(x87561)),x87562))+P1(f329(f329(f240(x87561),f329(f329(f83(x87561),x87562),f329(f329(f249(x87561),x87562),x87563))),f329(f329(f249(x87561),x87562),x87563))) % 166.45/166.23 [8840]~P1(f329(x88401,x88402))+P1(f329(x88401,f2(a905)))+~P1(f329(f329(f240(a905),x88402),x88403))+~P1(f329(x88401,f47(a905,f329(a117,f490(x88402,x88401,x88403)),x88403))) % 166.45/166.23 [8986]E(f514(x89861,x89862,x89863),f2(a905))+P1(f329(f329(x89861,x89863),x89862))+P1(f329(f329(x89861,f514(x89861,x89862,x89863)),f47(a905,f513(x89861,x89862,x89863),f514(x89861,x89862,x89863))))+~P1(f329(f317(f912(a905,a905),a223),f329(f329(f257(a905,a905),x89863),x89862))) % 166.45/166.23 [9025]~P24(x90251,x90251,x90252,x90253)+E(f329(f312(x90251,x90251,x90252),x90253),x90253)+~P1(f329(f63(x90251),x90253))+~P1(f329(f329(f239(f913(x90251,a900)),f329(f312(x90251,x90251,x90252),x90253)),x90253)) % 166.45/166.23 [9098]~P4(x90981)+~P40(x90981,x90981,x90983)+P1(f329(f329(f239(x90981),f329(f329(f115(x90981),x90982),f101(x90981,x90983))),f329(x90983,f329(f329(f115(x90981),x90982),f101(x90981,x90983)))))+~P1(f329(f329(f239(x90981),x90982),f329(x90983,f329(f329(f115(x90981),x90982),f101(x90981,x90983))))) % 166.45/166.23 [9251]P1(f329(f329(x92511,x92512),x92513))+P1(f329(f329(f240(a1),f796(x92511,x92513,x92512)),f797(x92511,x92513,x92512)))+P1(f329(f329(x92511,f796(x92511,x92513,x92512)),f329(f329(f82(a1),f797(x92511,x92513,x92512)),f80(a1))))+~P1(f329(f317(f912(a1,a1),a136),f329(f329(f257(a1,a1),x92512),x92513))) % 166.45/166.23 [9270]P1(f329(f329(x92701,x92702),x92703))+~P1(f329(f329(f240(a1),f512(x92701,x92703,x92702)),f2(a1)))+P1(f329(f329(x92701,f329(f81(a1),f511(x92701,x92703,x92702))),f329(f81(a1),f512(x92701,x92703,x92702))))+~P1(f329(f317(f912(a1,a1),a225),f329(f329(f257(a1,a1),x92702),x92703))) % 166.45/166.23 [9456]P1(f329(f329(x94561,x94562),x94563))+P1(f329(f329(x94561,f329(f329(f82(a1),f700(x94561,x94563,x94562)),f80(a1))),f701(x94561,x94563,x94562)))+~P1(f329(f329(f239(a1),f700(x94561,x94563,x94562)),f701(x94561,x94563,x94562)))+~P1(f329(f317(f912(a1,a1),a185),f329(f329(f257(a1,a1),x94562),x94563))) % 166.45/166.23 [9891]~P3(x98912)+~P3(x98911)+~P1(f329(f59(f912(x98911,x98912)),x98913))+P1(f329(f59(x98911),f329(f329(f8(f913(x98912,a900),a900,x98911),f59(x98912)),f329(f329(f8(f913(x98912,f912(x98911,x98912)),f913(x98912,a900),x98911),f329(f8(f912(x98911,x98912),a900,x98912),x98913)),f257(x98911,x98912))))) % 166.45/166.23 [9892]~P3(x98922)+~P3(x98921)+~P1(f329(f58(f912(x98921,x98922)),x98923))+P1(f329(f58(x98921),f329(f329(f8(f913(x98922,a900),a900,x98921),f58(x98922)),f329(f329(f8(f913(x98922,f912(x98921,x98922)),f913(x98922,a900),x98921),f329(f8(f912(x98921,x98922),a900,x98922),x98923)),f257(x98921,x98922))))) % 166.45/166.23 [9985]~P3(x99852)+~P3(x99851)+P1(f329(f59(f912(x99851,x99852)),x99853))+~P1(f329(f59(x99851),f329(f329(f8(f913(x99852,a900),a900,x99851),f59(x99852)),f329(f329(f8(f913(x99852,f912(x99851,x99852)),f913(x99852,a900),x99851),f329(f8(f912(x99851,x99852),a900,x99852),x99853)),f257(x99851,x99852))))) % 166.45/166.23 [9986]~P3(x99862)+~P3(x99861)+P1(f329(f58(f912(x99861,x99862)),x99863))+~P1(f329(f58(x99861),f329(f329(f8(f913(x99862,a900),a900,x99861),f58(x99862)),f329(f329(f8(f913(x99862,f912(x99861,x99862)),f913(x99862,a900),x99861),f329(f8(f912(x99861,x99862),a900,x99862),x99863)),f257(x99861,x99862))))) % 166.45/166.23 [10144]E(f329(x101441,f392(x101442,x101441,x101443)),x101442)+~P1(f329(f329(f239(a1),x101442),f329(x101441,x101443)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101441,f329(f329(f82(a905),f393(x101442,x101441,x101443)),f80(a905)))),f329(x101441,f393(x101442,x101441,x101443))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101441,f2(a905))),x101442)) % 166.45/166.23 [10145]E(f329(x101451,f401(x101452,x101451,x101453)),x101452)+~P1(f329(f329(f239(a1),x101452),f329(x101451,x101453)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101451,f329(f329(f82(a905),f402(x101452,x101451,x101453)),f80(a905)))),f329(x101451,f402(x101452,x101451,x101453))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101451,f2(a905))),x101452)) % 166.45/166.23 [10148]~P1(f329(f329(f239(a1),x101481),f329(x101482,x101483)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101482,f329(f329(f82(a905),f393(x101481,x101482,x101483)),f80(a905)))),f329(x101482,f393(x101481,x101482,x101483))))),f80(a1)))+P1(f329(f329(f239(a905),f392(x101481,x101482,x101483)),x101483))+~P1(f329(f329(f239(a1),f329(x101482,f2(a905))),x101481)) % 166.45/166.23 [10149]~P1(f329(f329(f239(a1),x101491),f329(x101492,x101493)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101492,f329(f329(f82(a905),f402(x101491,x101492,x101493)),f80(a905)))),f329(x101492,f402(x101491,x101492,x101493))))),f80(a1)))+P1(f329(f329(f239(a905),f401(x101491,x101492,x101493)),x101493))+~P1(f329(f329(f239(a1),f329(x101492,f2(a905))),x101491)) % 166.45/166.23 [10209]E(x102091,x102092)+~E(f329(f145(f906(x102093),f906(x102093),f137(x102093),f118(x102093)),x102091),f329(f145(f906(x102093),f906(x102093),f137(x102093),f118(x102093)),x102092))+~E(f329(f192(f906(f906(x102093))),x102091),f329(f192(f906(f906(x102093))),x102092))+~P1(f329(f329(f262(f906(x102093),f906(x102093),a900),f329(f329(f7(f906(x102093),f913(f906(x102093),a905),f913(f906(x102093),a900)),f329(f329(f8(f913(a905,a900),f913(f913(f906(x102093),a905),f913(f906(x102093),a900)),f906(x102093)),f8(a905,a900,f906(x102093))),f329(f329(f8(a905,f913(a905,a900),f906(x102093)),a326),f192(f906(x102093))))),f192(f906(x102093)))),f727(x102091,x102092,x102093))) % 166.45/166.23 [10210]E(x102101,x102102)+~E(f329(f145(f906(x102103),f906(x102103),f137(x102103),f118(x102103)),x102101),f329(f145(f906(x102103),f906(x102103),f137(x102103),f118(x102103)),x102102))+~E(f329(f192(f906(f906(x102103))),x102101),f329(f192(f906(f906(x102103))),x102102))+~P1(f329(f329(f262(f906(x102103),f906(x102103),a900),f329(f329(f7(f906(x102103),f913(f906(x102103),a905),f913(f906(x102103),a900)),f329(f329(f8(f913(a905,a900),f913(f913(f906(x102103),a905),f913(f906(x102103),a900)),f906(x102103)),f8(a905,a900,f906(x102103))),f329(f329(f8(a905,f913(a905,a900),f906(x102103)),a326),f192(f906(x102103))))),f192(f906(x102103)))),f728(x102102,x102101,x102103))) % 166.45/166.23 [6914]~E(f80(a905),f2(a905))+~P1(f329(f63(x69141),x69143))+~P1(f329(f63(x69141),x69142))+E(f329(f329(f82(a905),f329(f37(x69141),x69142)),f329(f37(x69141),x69143)),f329(f37(x69141),f329(f329(f115(f913(x69141,a900)),x69142),x69143))) % 166.45/166.23 [7320]~P107(x73201)+~P1(f329(f63(x73201),x73202))+~P1(f329(f329(f331(x73201),x73203),x73202))+P1(f329(f329(f239(x73201),f329(f65(x73201,f106(x73201)),x73202)),x73203)) % 166.45/166.23 [7321]~P105(x73211)+~P1(f329(f63(x73211),x73212))+~P1(f329(f329(f331(x73211),x73213),x73212))+P1(f329(f329(f239(x73211),f329(f65(x73211,f237(x73211)),x73212)),x73213)) % 166.45/166.23 [7585]~P1(f329(f63(x75851),x75853))+~P1(f329(f63(x75851),x75852))+~E(f329(f329(f106(f913(x75851,a900)),x75852),x75853),f191(f913(x75851,a900)))+E(f329(f329(f82(a905),f329(f37(x75851),x75852)),f329(f37(x75851),x75853)),f329(f37(x75851),f329(f329(f115(f913(x75851,a900)),x75852),x75853))) % 166.45/166.23 [8384]~P37(x83841,x83843)+~P37(x83841,x83842)+~E(f329(f329(f106(f913(x83841,a900)),f329(f269(x83841,x83841),x83842)),f329(f287(x83841,x83841),x83843)),f191(f913(x83841,a900)))+P37(x83841,f329(f329(f115(f913(f912(x83841,x83841),a900)),x83842),x83843)) % 166.45/166.23 [8479]E(x84791,f329(f329(f38(a905),x84792),x84793))+~P1(f329(f329(f240(a905),f2(a905)),x84793))+~P1(f329(f329(f240(a905),x84792),f329(f329(f83(a905),x84793),f329(a117,x84791))))+~P1(f329(f329(f239(a905),f329(f329(f83(a905),x84793),x84791)),x84792)) % 166.45/166.23 [8623]~P1(f329(f63(x86231),x86232))+~P1(f329(f63(x86231),x86233))+E(f329(f329(f82(a905),f329(f37(x86231),x86232)),f329(f37(x86231),x86233)),f329(f37(x86231),f329(f329(f115(f913(x86231,a900)),x86232),x86233)))+P1(f329(f329(f331(x86231),f893(x86233,x86232,x86231)),f329(f329(f106(f913(x86231,a900)),x86232),x86233))) % 166.45/166.23 [8998]~P129(x89982)+~E(x89981,f2(x89982))+~E(x89983,f2(x89982))+~P1(f329(f329(f240(x89982),f2(x89982)),f329(f329(f82(x89982),f329(f329(f83(x89982),x89983),x89983)),f329(f329(f83(x89982),x89981),x89981)))) % 166.45/166.23 [9534]~P37(x95341,x95343)+~P37(x95341,x95342)+P37(x95341,f329(f329(f115(f913(f912(x95341,x95341),a900)),x95342),x95343))+~P1(f329(f329(f239(f913(f912(x95341,x95341),a900)),f329(f329(f291(x95341,x95341,x95341),x95342),x95343)),x95342)) % 166.45/166.23 [9664]~P1(f329(x96641,x96643))+~P1(f329(f63(x96642),x96643))+P1(f329(x96641,f191(f913(x96642,a900))))+~P1(f329(x96641,f329(f329(f23(f913(x96642,a900)),f852(x96641,x96643,x96642)),f329(f329(f311(x96642),f853(x96641,x96643,x96642)),f191(f913(x96642,a900)))))) % 166.45/166.23 [8791]~P1(f329(f329(f240(a1),f2(a1)),x87913))+P1(f329(f329(f239(a1),f2(a1)),x87911))+~P1(f329(f329(f240(a1),x87912),x87913))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x87913),x87911)),x87912))) % 166.45/166.23 [8814]~P2(x88141)+~P1(f329(f63(x88141),x88142))+E(f329(f329(f23(f913(x88141,a900)),x88142),f329(f329(f311(x88141),x88143),f191(f913(x88141,a900)))),f191(f913(x88141,a900)))+E(f329(f329(f106(x88141),x88143),f10(x88141,f329(f329(f23(f913(x88141,a900)),x88142),f329(f329(f311(x88141),x88143),f191(f913(x88141,a900)))))),f10(x88141,f329(f329(f311(x88141),x88143),x88142))) % 166.45/166.23 [8815]~P2(x88151)+~P1(f329(f63(x88151),x88152))+E(f329(f329(f23(f913(x88151,a900)),x88152),f329(f329(f311(x88151),x88153),f191(f913(x88151,a900)))),f191(f913(x88151,a900)))+E(f329(f329(f115(x88151),x88153),f13(x88151,f329(f329(f23(f913(x88151,a900)),x88152),f329(f329(f311(x88151),x88153),f191(f913(x88151,a900)))))),f13(x88151,f329(f329(f311(x88151),x88153),x88152))) % 166.45/166.23 [8816]~P105(x88161)+~P1(f329(f63(x88161),x88162))+E(f329(f329(f23(f913(x88161,a900)),x88162),f329(f329(f311(x88161),x88163),f191(f913(x88161,a900)))),f191(f913(x88161,a900)))+E(f329(f329(f237(x88161),x88163),f14(x88161,f329(f329(f23(f913(x88161,a900)),x88162),f329(f329(f311(x88161),x88163),f191(f913(x88161,a900)))))),f14(x88161,f329(f329(f311(x88161),x88163),x88162))) % 166.45/166.23 [8817]~P105(x88171)+~P1(f329(f63(x88171),x88172))+E(f329(f329(f23(f913(x88171,a900)),x88172),f329(f329(f311(x88171),x88173),f191(f913(x88171,a900)))),f191(f913(x88171,a900)))+E(f329(f329(f238(x88171),x88173),f15(x88171,f329(f329(f23(f913(x88171,a900)),x88172),f329(f329(f311(x88171),x88173),f191(f913(x88171,a900)))))),f15(x88171,f329(f329(f311(x88171),x88173),x88172))) % 166.45/166.23 [8883]~P105(x88831)+~P1(f329(f63(x88831),x88832))+E(f329(f329(f23(f913(x88831,a900)),x88832),f329(f329(f311(x88831),x88833),f191(f913(x88831,a900)))),f191(f913(x88831,a900)))+E(f329(f329(f237(x88831),x88833),f11(x88831,f237(x88831),f329(f329(f23(f913(x88831,a900)),x88832),f329(f329(f311(x88831),x88833),f191(f913(x88831,a900)))))),f11(x88831,f237(x88831),f329(f329(f311(x88831),x88833),x88832))) % 166.45/166.23 [8884]~P105(x88841)+~P1(f329(f63(x88841),x88842))+E(f329(f329(f23(f913(x88841,a900)),x88842),f329(f329(f311(x88841),x88843),f191(f913(x88841,a900)))),f191(f913(x88841,a900)))+E(f329(f329(f238(x88841),x88843),f12(x88841,f238(x88841),f329(f329(f23(f913(x88841,a900)),x88842),f329(f329(f311(x88841),x88843),f191(f913(x88841,a900)))))),f12(x88841,f238(x88841),f329(f329(f311(x88841),x88843),x88842))) % 166.45/166.23 [9274]~P4(x92741)+~P40(x92741,x92741,x92742)+P1(f329(f329(f239(x92741),f100(x92741,x92742)),x92743))+~P1(f329(f329(f239(x92741),f329(x92742,f329(f329(f106(x92741),f100(x92741,x92742)),x92743))),x92743)) % 166.45/166.23 [9475]E(x94751,x94752)+~E(f329(f145(f906(x94753),f906(x94753),f137(x94753),f118(x94753)),x94751),f329(f145(f906(x94753),f906(x94753),f137(x94753),f118(x94753)),x94752))+~E(f329(f192(f906(f906(x94753))),x94751),f329(f192(f906(f906(x94753))),x94752))+P1(f329(f329(f331(f912(f906(x94753),f906(x94753))),f727(x94751,x94752,x94753)),f329(f175(f912(f906(x94753),f906(x94753))),f329(f329(f184(f906(x94753),f906(x94753)),x94752),x94751)))) % 166.45/166.23 [9476]E(x94761,x94762)+~E(f329(f145(f906(x94763),f906(x94763),f137(x94763),f118(x94763)),x94761),f329(f145(f906(x94763),f906(x94763),f137(x94763),f118(x94763)),x94762))+~E(f329(f192(f906(f906(x94763))),x94761),f329(f192(f906(f906(x94763))),x94762))+P1(f329(f329(f331(f912(f906(x94763),f906(x94763))),f728(x94762,x94761,x94763)),f329(f175(f912(f906(x94763),f906(x94763))),f329(f329(f184(f906(x94763),f906(x94763)),x94761),x94762)))) % 166.45/166.23 [10312]~P102(x103122)+E(x103121,f191(f913(x103122,a900)))+~P1(f329(f63(x103122),x103121))+E(f10(x103122,f329(f267(x103122),f329(f329(f8(f913(x103122,a900),a900,x103122),f89(x103122)),f329(f329(f7(x103122,f913(x103122,a900),f913(x103122,a900)),f329(f329(f8(f913(x103122,f913(a900,a900)),f913(f913(x103122,a900),f913(x103122,a900)),x103122),f18(x103122,a900,a900)),f329(f329(f8(f913(x103122,a900),f913(x103122,f913(a900,a900)),x103122),f329(f8(a900,f913(a900,a900),x103122),a327)),f329(f329(f7(x103122,f913(x103122,x103122),f913(x103122,a900)),f329(f329(f8(f913(x103122,a900),f913(f913(x103122,x103122),f913(x103122,a900)),x103122),f8(x103122,a900,x103122)),a326)),f329(f115(x103122),x103123))))),f329(f329(f7(x103122,f913(x103122,a900),a900),f331(x103122)),x103121))))),f329(f329(f115(x103122),x103123),f10(x103122,x103121))) % 166.45/166.23 [10313]~P102(x103132)+E(x103131,f191(f913(x103132,a900)))+~P1(f329(f63(x103132),x103131))+E(f13(x103132,f329(f267(x103132),f329(f329(f8(f913(x103132,a900),a900,x103132),f89(x103132)),f329(f329(f7(x103132,f913(x103132,a900),f913(x103132,a900)),f329(f329(f8(f913(x103132,f913(a900,a900)),f913(f913(x103132,a900),f913(x103132,a900)),x103132),f18(x103132,a900,a900)),f329(f329(f8(f913(x103132,a900),f913(x103132,f913(a900,a900)),x103132),f329(f8(a900,f913(a900,a900),x103132),a327)),f329(f329(f7(x103132,f913(x103132,x103132),f913(x103132,a900)),f329(f329(f8(f913(x103132,a900),f913(f913(x103132,x103132),f913(x103132,a900)),x103132),f8(x103132,a900,x103132)),a326)),f329(f106(x103132),x103133))))),f329(f329(f7(x103132,f913(x103132,a900),a900),f331(x103132)),x103131))))),f329(f329(f106(x103132),x103133),f13(x103132,x103131))) % 166.45/166.23 [10314]~P82(x103142)+E(x103141,f191(f913(x103142,a900)))+~P1(f329(f63(x103142),x103141))+E(f14(x103142,f329(f267(x103142),f329(f329(f8(f913(x103142,a900),a900,x103142),f89(x103142)),f329(f329(f7(x103142,f913(x103142,a900),f913(x103142,a900)),f329(f329(f8(f913(x103142,f913(a900,a900)),f913(f913(x103142,a900),f913(x103142,a900)),x103142),f18(x103142,a900,a900)),f329(f329(f8(f913(x103142,a900),f913(x103142,f913(a900,a900)),x103142),f329(f8(a900,f913(a900,a900),x103142),a327)),f329(f329(f7(x103142,f913(x103142,x103142),f913(x103142,a900)),f329(f329(f8(f913(x103142,a900),f913(f913(x103142,x103142),f913(x103142,a900)),x103142),f8(x103142,a900,x103142)),a326)),f329(f82(x103142),x103143))))),f329(f329(f7(x103142,f913(x103142,a900),a900),f331(x103142)),x103141))))),f329(f329(f82(x103142),x103143),f14(x103142,x103141))) % 166.45/166.23 [10315]~P82(x103152)+E(x103151,f191(f913(x103152,a900)))+~P1(f329(f63(x103152),x103151))+E(f15(x103152,f329(f267(x103152),f329(f329(f8(f913(x103152,a900),a900,x103152),f89(x103152)),f329(f329(f7(x103152,f913(x103152,a900),f913(x103152,a900)),f329(f329(f8(f913(x103152,f913(a900,a900)),f913(f913(x103152,a900),f913(x103152,a900)),x103152),f18(x103152,a900,a900)),f329(f329(f8(f913(x103152,a900),f913(x103152,f913(a900,a900)),x103152),f329(f8(a900,f913(a900,a900),x103152),a327)),f329(f329(f7(x103152,f913(x103152,x103152),f913(x103152,a900)),f329(f329(f8(f913(x103152,a900),f913(f913(x103152,x103152),f913(x103152,a900)),x103152),f8(x103152,a900,x103152)),a326)),f329(f82(x103152),x103153))))),f329(f329(f7(x103152,f913(x103152,a900),a900),f331(x103152)),x103151))))),f329(f329(f82(x103152),x103153),f15(x103152,x103151))) % 166.45/166.23 [10316]~P105(x103162)+E(x103161,f191(f913(x103162,a900)))+~P1(f329(f63(x103162),x103161))+E(f12(x103162,f238(x103162),f329(f267(x103162),f329(f329(f8(f913(x103162,a900),a900,x103162),f89(x103162)),f329(f329(f7(x103162,f913(x103162,a900),f913(x103162,a900)),f329(f329(f8(f913(x103162,f913(a900,a900)),f913(f913(x103162,a900),f913(x103162,a900)),x103162),f18(x103162,a900,a900)),f329(f329(f8(f913(x103162,a900),f913(x103162,f913(a900,a900)),x103162),f329(f8(a900,f913(a900,a900),x103162),a327)),f329(f329(f7(x103162,f913(x103162,x103162),f913(x103162,a900)),f329(f329(f8(f913(x103162,a900),f913(f913(x103162,x103162),f913(x103162,a900)),x103162),f8(x103162,a900,x103162)),a326)),f329(f237(x103162),x103163))))),f329(f329(f7(x103162,f913(x103162,a900),a900),f331(x103162)),x103161))))),f329(f329(f237(x103162),x103163),f12(x103162,f238(x103162),x103161))) % 166.45/166.23 [10317]~P105(x103172)+E(x103171,f191(f913(x103172,a900)))+~P1(f329(f63(x103172),x103171))+E(f11(x103172,f237(x103172),f329(f267(x103172),f329(f329(f8(f913(x103172,a900),a900,x103172),f89(x103172)),f329(f329(f7(x103172,f913(x103172,a900),f913(x103172,a900)),f329(f329(f8(f913(x103172,f913(a900,a900)),f913(f913(x103172,a900),f913(x103172,a900)),x103172),f18(x103172,a900,a900)),f329(f329(f8(f913(x103172,a900),f913(x103172,f913(a900,a900)),x103172),f329(f8(a900,f913(a900,a900),x103172),a327)),f329(f329(f7(x103172,f913(x103172,x103172),f913(x103172,a900)),f329(f329(f8(f913(x103172,a900),f913(f913(x103172,x103172),f913(x103172,a900)),x103172),f8(x103172,a900,x103172)),a326)),f329(f238(x103172),x103173))))),f329(f329(f7(x103172,f913(x103172,a900),a900),f331(x103172)),x103171))))),f329(f329(f238(x103172),x103173),f11(x103172,f237(x103172),x103171))) % 166.45/166.23 [10050]~P117(x100501)+~E(x100503,f2(x100501))+~E(x100502,f2(x100501))+E(f329(f329(f82(x100501),f329(f329(f249(x100501),x100502),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x100501),x100503),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x100501)) % 166.45/166.23 [10190]~P127(x101901)+~P1(f329(f329(f239(x101901),f2(x101901)),x101903))+P1(f329(f329(f239(x101901),x101902),x101903))+~P1(f329(f329(f239(x101901),f329(f329(f249(x101901),x101902),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101901),x101903),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))) % 166.45/166.23 [10247]~P117(x102472)+~E(x102471,f2(x102472))+~E(x102473,f2(x102472))+~P1(f329(f329(f240(x102472),f2(x102472)),f329(f329(f82(x102472),f329(f329(f249(x102472),x102473),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102472),x102471),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))) % 166.45/166.23 [9438]E(x94381,x94382)+~E(f682(x94381,x94382,x94384,x94383),f683(x94381,x94382,x94384,x94383))+P1(f329(f329(f331(f912(f906(x94383),f906(x94383))),f329(f329(f257(f906(x94383),f906(x94383)),x94382),x94381)),f150(x94383,x94384)))+P1(f329(f329(f331(f912(f906(x94383),f906(x94383))),f329(f329(f257(f906(x94383),f906(x94383)),x94381),x94382)),f150(x94383,x94384))) % 166.45/166.23 [4944]~P70(x49442)+~E(x49444,f2(x49442))+~E(x49441,f2(x49442))+E(x49441,f329(f329(f292(x49442),x49443),x49444)) % 166.45/166.23 [4945]~P70(x49451)+~E(x49453,f2(x49451))+~E(x49454,f2(x49451))+E(f329(f329(f292(x49451),x49452),x49453),x49454) % 166.45/166.23 [5062]~P70(x50622)+E(x50621,f2(x50622))+~E(x50623,f2(x50622))+~E(x50621,f329(f329(f292(x50622),x50624),x50623)) % 166.45/166.23 [5063]~P70(x50632)+E(x50631,f2(x50632))+~E(x50633,f2(x50632))+~E(f329(f329(f292(x50632),x50634),x50633),x50631) % 166.45/166.23 [5248]~P124(x52482)+E(x52481,f2(x52482))+~E(f329(f329(f292(x52482),x52483),x52481),x52484)+E(x52483,f329(f329(f83(x52482),x52484),x52481)) % 166.45/166.23 [5250]~P124(x52502)+E(x52501,f2(x52502))+~E(f329(f329(f83(x52502),x52503),x52501),x52504)+E(x52503,f329(f329(f292(x52502),x52504),x52501)) % 166.45/166.23 [5251]~P70(x52512)+E(x52511,f2(x52512))+~E(f329(f329(f292(x52512),x52513),x52511),x52514)+E(x52513,f329(f329(f83(x52512),x52514),x52511)) % 166.45/166.23 [5252]~P70(x52522)+E(x52521,f2(x52522))+~E(f329(f329(f83(x52522),x52523),x52521),x52524)+E(x52523,f329(f329(f292(x52522),x52524),x52521)) % 166.45/166.23 [5253]~P124(x52532)+E(x52531,f2(x52532))+~E(x52533,f329(f329(f292(x52532),x52534),x52531))+E(f329(f329(f83(x52532),x52533),x52531),x52534) % 166.45/166.23 [5255]~P124(x52552)+E(x52551,f2(x52552))+~E(x52553,f329(f329(f83(x52552),x52554),x52551))+E(f329(f329(f292(x52552),x52553),x52551),x52554) % 166.45/166.23 [5256]~P70(x52562)+E(x52561,f2(x52562))+~E(x52563,f329(f329(f292(x52562),x52564),x52561))+E(f329(f329(f83(x52562),x52563),x52561),x52564) % 166.45/166.23 [5257]~P70(x52572)+E(x52571,f2(x52572))+~E(x52573,f329(f329(f83(x52572),x52574),x52571))+E(f329(f329(f292(x52572),x52573),x52571),x52574) % 166.45/166.23 [5282]~P70(x52822)+~E(x52821,f2(x52822))+~E(f329(f329(f83(x52822),x52821),x52824),x52823)+E(x52821,f329(f329(f292(x52822),x52823),x52824)) % 166.45/166.23 [5283]~P70(x52831)+~E(x52834,f2(x52831))+~E(x52832,f329(f329(f83(x52831),x52834),x52833))+E(f329(f329(f292(x52831),x52832),x52833),x52834) % 166.45/166.23 [5356]~E(x53563,x53564)+~E(x53562,x53563)+~P112(x53561)+E(f305(x53561,x53562,x53563),f329(f329(f311(x53561),x53564),f191(f913(x53561,a900)))) % 166.45/166.23 [5559]~E(f119(x55592,x55591),x55593)+~E(f147(x55592,x55591),x55594)+E(x55591,f118(x55592))+E(f329(f329(f137(x55592),x55593),f329(f329(f154(x55592),x55594),f118(x55592))),x55591) % 166.45/166.23 [6188]~P127(x61883)+E(x61881,x61882)+~E(f329(f329(f249(x61883),x61884),x61881),f329(f329(f249(x61883),x61884),x61882))+~P1(f329(f329(f240(x61883),f80(x61883)),x61884)) % 166.45/166.23 [6189]E(x61891,x61892)+~E(f329(f329(f311(x61893),x61894),x61891),f329(f329(f311(x61893),x61894),x61892))+P1(f329(f329(f331(x61893),x61894),x61892))+P1(f329(f329(f331(x61893),x61894),x61891)) % 166.45/166.23 [6232]E(f329(x62321,x62322),f2(a905))+~E(f329(f329(f6(x62323,a905),x62321),x62324),f2(a905))+~P1(f329(f63(x62323),x62324))+~P1(f329(f329(f331(x62323),x62322),x62324)) % 166.45/166.23 [6233]E(f329(x62331,x62332),f80(a905))+~E(f329(f329(f9(x62333,a905),x62331),x62334),f80(a905))+~P1(f329(f63(x62333),x62334))+~P1(f329(f329(f331(x62333),x62332),x62334)) % 166.45/166.23 [6448]~P112(x64481)+~P1(f329(f329(f239(x64481),x64484),x64483))+P1(f329(f329(f239(x64481),x64482),x64483))+~P1(f329(f329(f239(x64481),x64482),x64484)) % 166.45/166.23 [6449]~P104(x64491)+~P1(f329(f329(f239(x64491),x64492),x64494))+P1(f329(f329(f239(x64491),x64492),x64493))+~P1(f329(f329(f239(x64491),x64494),x64493)) % 166.45/166.23 [6450]~P112(x64501)+~P1(f329(f329(f240(x64501),x64504),x64503))+P1(f329(f329(f240(x64501),x64502),x64503))+~P1(f329(f329(f239(x64501),x64502),x64504)) % 166.45/166.23 [6451]~P112(x64511)+~P1(f329(f329(f240(x64511),x64512),x64514))+P1(f329(f329(f240(x64511),x64512),x64513))+~P1(f329(f329(f239(x64511),x64514),x64513)) % 166.45/166.23 [6452]~P112(x64521)+~P1(f329(f329(f240(x64521),x64524),x64523))+P1(f329(f329(f240(x64521),x64522),x64523))+~P1(f329(f329(f240(x64521),x64522),x64524)) % 166.45/166.23 [6453]~P104(x64531)+~P1(f329(f329(f240(x64531),x64532),x64534))+P1(f329(f329(f240(x64531),x64532),x64533))+~P1(f329(f329(f239(x64531),x64534),x64533)) % 166.45/166.23 [6454]~P104(x64541)+~P1(f329(f329(f240(x64541),x64544),x64543))+P1(f329(f329(f240(x64541),x64542),x64543))+~P1(f329(f329(f239(x64541),x64542),x64544)) % 166.45/166.23 [6455]~P104(x64551)+~P1(f329(f329(f240(x64551),x64552),x64554))+P1(f329(f329(f240(x64551),x64552),x64553))+~P1(f329(f329(f240(x64551),x64554),x64553)) % 166.45/166.23 [6541]~P35(x65414,x65413,x65412)+E(x65411,f781(x65412,x65413,x65414))+~P1(f329(x65413,x65411))+~P1(f329(f329(f331(x65414),x65411),f329(f175(x65414),x65412))) % 166.45/166.23 [6542]~P35(x65424,x65423,x65422)+E(x65421,f792(x65422,x65423,x65424))+~P1(f329(x65423,x65421))+~P1(f329(f329(f331(x65424),x65421),f329(f175(x65424),x65422))) % 166.45/166.23 [6692]~P4(x66921)+~P1(f329(f329(f239(x66921),x66922),f40(x66921,x66924)))+P1(f329(f329(f239(x66921),x66922),x66923))+~P1(f329(f329(f331(x66921),x66923),x66924)) % 166.45/166.23 [6836]~P105(x68361)+~P12(x68361,f329(f329(f154(x68361),x68362),x68364))+~P1(f329(f329(f331(x68361),x68363),f329(f175(x68361),x68364)))+P1(f329(f329(f239(x68361),x68362),x68363)) % 166.45/166.23 [6924]~P4(x69241)+~P1(f329(f329(f239(x69241),f39(x69241,x69244)),x69243))+P1(f329(f329(f239(x69241),x69242),x69243))+~P1(f329(f329(f331(x69241),x69242),x69244)) % 166.45/166.23 [7323]~P105(x73231)+E(f329(f329(f115(f913(x73231,a900)),f329(f304(x73231,x73232),x73233)),f329(f304(x73231,x73233),x73234)),f329(f304(x73231,x73232),x73234))+~P1(f329(f329(f239(x73231),x73233),x73234))+~P1(f329(f329(f239(x73231),x73232),x73233)) % 166.45/166.23 [7370]P35(x73701,x73702,x73703)+~E(f791(x73703,x73702,x73701,x73704),x73704)+~P1(f329(x73702,x73704))+~P1(f329(f329(f331(x73701),x73704),f329(f175(x73701),x73703))) % 166.45/166.23 [7371]P35(x73711,x73712,x73713)+~E(f800(x73713,x73712,x73711,x73714),x73714)+~P1(f329(x73712,x73714))+~P1(f329(f329(f331(x73711),x73714),f329(f175(x73711),x73713))) % 166.45/166.23 [7449]~P105(x74491)+E(f329(f329(f115(f913(x74491,a900)),f329(f304(x74491,x74492),x74493)),f305(x74491,x74493,x74494)),f305(x74491,x74492,x74494))+~P1(f329(f329(f239(x74491),x74493),x74494))+~P1(f329(f329(f239(x74491),x74492),x74493)) % 166.45/166.23 [7511]~P105(x75111)+E(f329(f329(f115(f913(x75111,a900)),f308(x75111,x75112,x75113)),f329(f304(x75111,x75113),x75114)),f308(x75111,x75112,x75114))+~P1(f329(f329(f239(x75111),x75113),x75114))+~P1(f329(f329(f240(x75111),x75112),x75113)) % 166.45/166.23 [7531]~P105(x75311)+E(f329(f329(f115(f913(x75311,a900)),f305(x75311,x75312,x75313)),f308(x75311,x75313,x75314)),f329(f304(x75311,x75312),x75314))+~P1(f329(f329(f239(x75311),x75312),x75313))+~P1(f329(f329(f240(x75311),x75313),x75314)) % 166.45/166.23 [7565]~P105(x75651)+E(f329(f329(f115(f913(x75651,a900)),f305(x75651,x75652,x75653)),f307(x75651,x75653,x75654)),f305(x75651,x75652,x75654))+~P1(f329(f329(f239(x75651),x75653),x75654))+~P1(f329(f329(f239(x75651),x75652),x75653)) % 166.45/166.23 [7566]~P105(x75661)+E(f329(f329(f115(f913(x75661,a900)),f307(x75661,x75662,x75663)),f307(x75661,x75663,x75664)),f307(x75661,x75662,x75664))+~P1(f329(f329(f239(x75661),x75663),x75664))+~P1(f329(f329(f239(x75661),x75662),x75663)) % 166.45/166.23 [7567]~P105(x75671)+E(f329(f329(f115(f913(x75671,a900)),f307(x75671,x75672,x75673)),f308(x75671,x75673,x75674)),f308(x75671,x75672,x75674))+~P1(f329(f329(f239(x75671),x75672),x75673))+~P1(f329(f329(f240(x75671),x75673),x75674)) % 166.45/166.23 [7568]~P105(x75681)+E(f329(f329(f115(f913(x75681,a900)),f308(x75681,x75682,x75683)),f305(x75681,x75683,x75684)),f307(x75681,x75682,x75684))+~P1(f329(f329(f239(x75681),x75683),x75684))+~P1(f329(f329(f240(x75681),x75682),x75683)) % 166.45/166.23 [8368]P24(x83681,x83682,f881(x83683,x83682,x83684,x83681),x83684)+~P1(f329(f63(x83682),x83683))+~P1(f329(f63(x83681),x83684))+~P1(f329(f329(f239(a905),f329(f37(x83681),x83684)),f329(f37(x83682),x83683))) % 166.45/166.23 [8389]P35(x83891,x83892,x83893)+~P1(f329(x83892,x83894))+P1(f329(x83892,f791(x83893,x83892,x83891,x83894)))+~P1(f329(f329(f331(x83891),x83894),f329(f175(x83891),x83893))) % 166.45/166.23 [8390]P35(x83901,x83902,x83903)+~P1(f329(x83902,x83904))+P1(f329(x83902,f800(x83903,x83902,x83901,x83904)))+~P1(f329(f329(f331(x83901),x83904),f329(f175(x83901),x83903))) % 166.45/166.23 [8445]~P80(x84451)+~E(f329(x84453,f451(x84453,x84454,x84452,x84451)),f80(x84451))+E(f329(f329(f329(f67(x84451,x84452,f83(x84451)),x84453),f80(x84451)),x84454),f80(x84451))+~P1(f329(f63(x84452),x84454)) % 166.45/166.23 [8723]~P127(x87231)+~P1(f329(f329(f239(x87231),f2(x87231)),x87233))+P1(f329(f329(f239(x87231),x87232),x87233))+~P1(f329(f329(f239(x87231),f329(f329(f249(x87231),x87232),f329(a117,x87234))),f329(f329(f249(x87231),x87233),f329(a117,x87234)))) % 166.45/166.23 [8882]~P40(f913(x88824,a900),f913(x88824,a900),x88823)+P1(f329(x88821,x88822))+~P1(f329(x88821,f413(x88821,x88823,x88822,x88824)))+~P1(f329(f329(f331(x88824),x88822),f100(f913(x88824,a900),x88823))) % 166.45/166.23 [9026]P35(x90261,x90262,x90263)+~P1(f329(x90262,x90264))+~P1(f329(f329(f331(x90261),x90264),f329(f175(x90261),x90263)))+P1(f329(f329(f331(x90261),f791(x90263,x90262,x90261,x90264)),f329(f175(x90261),x90263))) % 166.45/166.23 [9027]P35(x90271,x90272,x90273)+~P1(f329(x90272,x90274))+~P1(f329(f329(f331(x90271),x90274),f329(f175(x90271),x90273)))+P1(f329(f329(f331(x90271),f800(x90273,x90272,x90271,x90274)),f329(f175(x90271),x90273))) % 166.45/166.23 [9106]~P80(x91061)+E(f329(f329(f329(f67(x91061,x91062,f83(x91061)),x91063),f80(x91061)),x91064),f80(x91061))+~P1(f329(f63(x91062),x91064))+P1(f329(f329(f331(x91062),f451(x91063,x91064,x91062,x91061)),x91064)) % 166.45/166.23 [9607]~P1(f329(f329(f239(a1),x96074),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96071),f47(a1,x96072,x96073))),x96074)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x96073))+~P1(f329(f329(f240(a1),x96071),x96074)) % 166.45/166.23 [10043]~P1(f329(f63(x100431),x100432))+~P1(f329(f329(f331(x100431),x100434),x100432))+~P1(f329(f329(f331(x100431),x100433),x100432))+P1(f329(f329(f240(a905),f329(f37(x100431),f329(f329(f23(f913(x100431,a900)),f329(f329(f23(f913(x100431,a900)),x100432),f329(f329(f311(x100431),x100433),f191(f913(x100431,a900))))),f329(f329(f311(x100431),x100434),f191(f913(x100431,a900)))))),f329(f37(x100431),x100432))) % 166.45/166.23 [7038]~P107(x70381)+~P1(f329(f329(f239(x70381),x70382),x70384))+~P1(f329(f329(f239(x70381),x70382),x70383))+P1(f329(f329(f239(x70381),x70382),f329(f329(f106(x70381),x70383),x70384))) % 166.45/166.23 [7041]~P105(x70411)+~P1(f329(f329(f239(x70411),x70412),x70414))+~P1(f329(f329(f239(x70411),x70412),x70413))+P1(f329(f329(f239(x70411),x70412),f329(f329(f237(x70411),x70413),x70414))) % 166.45/166.23 [7042]~P105(x70421)+~P1(f329(f329(f240(x70421),x70422),x70424))+~P1(f329(f329(f240(x70421),x70422),x70423))+P1(f329(f329(f240(x70421),x70422),f329(f329(f237(x70421),x70423),x70424))) % 166.45/166.23 [7062]~P71(x70622)+E(x70621,f2(x70622))+E(f329(f329(f292(x70622),f329(f329(f249(x70622),x70621),x70623)),f329(f329(f249(x70622),x70621),x70624)),f329(f329(f249(x70622),x70621),f329(f329(f23(a905),x70623),x70624)))+~P1(f329(f329(f239(a905),x70624),x70623)) % 166.45/166.23 [7106]~P105(x71061)+~P12(x71061,f329(f329(f154(x71061),x71063),x71064))+P12(x71061,f329(f329(f154(x71061),x71062),f329(f329(f154(x71061),x71063),x71064)))+~P1(f329(f329(f239(x71061),x71062),x71063)) % 166.45/166.23 [7141]~P90(x71411)+~P1(f329(f329(f239(x71411),f2(x71411)),x71414))+~P1(f329(f329(f239(x71411),x71412),x71413))+P1(f329(f329(f239(x71411),x71412),f329(f329(f82(x71411),x71413),x71414))) % 166.45/166.23 [7142]~P90(x71421)+~P1(f329(f329(f239(x71421),f2(x71421)),x71423))+~P1(f329(f329(f239(x71421),x71422),x71424))+P1(f329(f329(f239(x71421),x71422),f329(f329(f82(x71421),x71423),x71424))) % 166.45/166.23 [7143]~P90(x71431)+~P1(f329(f329(f239(x71431),x71432),x71434))+~P1(f329(f329(f240(x71431),f2(x71431)),x71433))+P1(f329(f329(f240(x71431),x71432),f329(f329(f82(x71431),x71433),x71434))) % 166.45/166.23 [7144]~P90(x71441)+~P1(f329(f329(f239(x71441),f2(x71441)),x71443))+~P1(f329(f329(f240(x71441),x71442),x71444))+P1(f329(f329(f240(x71441),x71442),f329(f329(f82(x71441),x71443),x71444))) % 166.45/166.23 [7145]~P127(x71451)+~P1(f329(f329(f240(x71451),f2(x71451)),x71453))+~P1(f329(f329(f240(x71451),x71452),x71454))+P1(f329(f329(f240(x71451),x71452),f329(f329(f82(x71451),x71453),x71454))) % 166.45/166.23 [7186]~P105(x71861)+P1(f329(f329(f239(x71861),x71862),x71863))+P1(f329(f329(f239(x71861),x71862),x71864))+~P1(f329(f329(f239(x71861),x71862),f329(f329(f238(x71861),x71864),x71863))) % 166.45/166.23 [7187]~P105(x71871)+P1(f329(f329(f240(x71871),x71872),x71873))+P1(f329(f329(f240(x71871),x71872),x71874))+~P1(f329(f329(f240(x71871),x71872),f329(f329(f238(x71871),x71874),x71873))) % 166.45/166.23 [7484]~P112(x74842)+~P3(x74841)+~P1(f329(f329(f240(f913(x74841,x74842)),x74843),x74844))+P1(f329(f329(f239(f913(x74841,x74842)),x74843),x74844)) % 166.45/166.23 [7852]~P73(x78521)+~P1(f329(f329(f240(x78521),x78524),f2(x78521)))+~P1(f329(f329(f239(x78521),x78523),f329(f329(f292(x78521),x78522),x78524)))+P1(f329(f329(f239(x78521),x78522),f329(f329(f83(x78521),x78523),x78524))) % 166.45/166.23 [7853]~P73(x78531)+~P1(f329(f329(f240(x78531),x78534),f2(x78531)))+~P1(f329(f329(f239(x78531),x78533),f329(f329(f83(x78531),x78532),x78534)))+P1(f329(f329(f239(x78531),x78532),f329(f329(f292(x78531),x78533),x78534))) % 166.45/166.23 [7854]~P73(x78541)+~P1(f329(f329(f240(x78541),x78544),f2(x78541)))+~P1(f329(f329(f240(x78541),x78543),f329(f329(f292(x78541),x78542),x78544)))+P1(f329(f329(f240(x78541),x78542),f329(f329(f83(x78541),x78543),x78544))) % 166.45/166.23 [7855]~P73(x78551)+~P1(f329(f329(f240(x78551),x78554),f2(x78551)))+~P1(f329(f329(f240(x78551),x78553),f329(f329(f83(x78551),x78552),x78554)))+P1(f329(f329(f240(x78551),x78552),f329(f329(f292(x78551),x78553),x78554))) % 166.45/166.23 [7967]~P129(x79671)+~P1(f329(f329(f240(x79671),x79672),f2(x79671)))+~P1(f329(f329(f239(x79671),x79674),x79673))+P1(f329(f329(f239(x79671),f329(f329(f83(x79671),x79672),x79673)),f329(f329(f83(x79671),x79672),x79674))) % 166.45/166.23 [7968]~P137(x79681)+~P1(f329(f329(f239(x79681),x79682),f2(x79681)))+~P1(f329(f329(f239(x79681),x79684),x79683))+P1(f329(f329(f239(x79681),f329(f329(f83(x79681),x79682),x79683)),f329(f329(f83(x79681),x79682),x79684))) % 166.45/166.23 [7969]~P137(x79691)+~P1(f329(f329(f239(x79691),x79693),f2(x79691)))+~P1(f329(f329(f239(x79691),x79694),x79692))+P1(f329(f329(f239(x79691),f329(f329(f83(x79691),x79692),x79693)),f329(f329(f83(x79691),x79694),x79693))) % 166.45/166.23 [7970]~P72(x79701)+~P1(f329(f329(f239(x79701),x79703),f2(x79701)))+~P1(f329(f329(f239(x79701),x79704),x79702))+P1(f329(f329(f239(x79701),f329(f329(f292(x79701),x79702),x79703)),f329(f329(f292(x79701),x79704),x79703))) % 166.45/166.23 [7974]~P129(x79741)+~P1(f329(f329(f240(x79741),x79743),f2(x79741)))+~P1(f329(f329(f240(x79741),x79744),x79742))+P1(f329(f329(f240(x79741),f329(f329(f83(x79741),x79742),x79743)),f329(f329(f83(x79741),x79744),x79743))) % 166.45/166.23 [7975]~P129(x79751)+~P1(f329(f329(f240(x79751),x79752),f2(x79751)))+~P1(f329(f329(f240(x79751),x79754),x79753))+P1(f329(f329(f240(x79751),f329(f329(f83(x79751),x79752),x79753)),f329(f329(f83(x79751),x79752),x79754))) % 166.45/166.23 [7976]~P73(x79761)+~P1(f329(f329(f240(x79761),x79763),f2(x79761)))+~P1(f329(f329(f240(x79761),x79764),x79762))+P1(f329(f329(f240(x79761),f329(f329(f292(x79761),x79762),x79763)),f329(f329(f292(x79761),x79764),x79763))) % 166.45/166.23 [7977]~P127(x79771)+~P1(f329(f329(f240(x79771),f80(x79771)),x79772))+~P1(f329(f329(f239(a905),x79773),x79774))+P1(f329(f329(f239(x79771),f329(f329(f249(x79771),x79772),x79773)),f329(f329(f249(x79771),x79772),x79774))) % 166.45/166.23 [7978]~P127(x79781)+~P1(f329(f329(f239(x79781),f80(x79781)),x79782))+~P1(f329(f329(f239(a905),x79783),x79784))+P1(f329(f329(f239(x79781),f329(f329(f249(x79781),x79782),x79783)),f329(f329(f249(x79781),x79782),x79784))) % 166.45/166.23 [7980]~P127(x79801)+~P1(f329(f329(f240(x79801),f80(x79801)),x79802))+~P1(f329(f329(f240(a905),x79803),x79804))+P1(f329(f329(f240(x79801),f329(f329(f249(x79801),x79802),x79803)),f329(f329(f249(x79801),x79802),x79804))) % 166.45/166.23 [8007]P1(f329(f329(f240(a905),f2(a905)),f329(x80071,x80072)))+~P1(f329(f63(x80073),x80074))+~P1(f329(f329(f331(x80073),x80072),x80074))+~P1(f329(f329(f240(a905),f2(a905)),f329(f329(f9(x80073,a905),x80071),x80074))) % 166.45/166.23 [8016]~P129(x80161)+~P1(f329(f329(f240(x80161),f2(x80161)),x80162))+~P1(f329(f329(f239(x80161),x80163),x80164))+P1(f329(f329(f239(x80161),f329(f329(f83(x80161),x80162),x80163)),f329(f329(f83(x80161),x80162),x80164))) % 166.45/166.23 [8017]~P139(x80171)+~P1(f329(f329(f239(x80171),x80173),x80174))+~P1(f329(f329(f239(x80171),f2(x80171)),x80172))+P1(f329(f329(f239(x80171),f329(f329(f83(x80171),x80172),x80173)),f329(f329(f83(x80171),x80172),x80174))) % 166.45/166.23 [8018]~P138(x80181)+~P1(f329(f329(f239(x80181),x80183),x80184))+~P1(f329(f329(f239(x80181),f2(x80181)),x80182))+P1(f329(f329(f239(x80181),f329(f329(f83(x80181),x80182),x80183)),f329(f329(f83(x80181),x80182),x80184))) % 166.45/166.23 [8019]~P139(x80191)+~P1(f329(f329(f239(x80191),x80192),x80194))+~P1(f329(f329(f239(x80191),f2(x80191)),x80193))+P1(f329(f329(f239(x80191),f329(f329(f83(x80191),x80192),x80193)),f329(f329(f83(x80191),x80194),x80193))) % 166.45/166.23 [8020]~P127(x80201)+~P1(f329(f329(f239(x80201),x80202),x80204))+~P1(f329(f329(f239(x80201),f2(x80201)),x80202))+P1(f329(f329(f239(x80201),f329(f329(f249(x80201),x80202),x80203)),f329(f329(f249(x80201),x80204),x80203))) % 166.45/166.23 [8021]~P72(x80211)+~P1(f329(f329(f239(x80211),x80212),x80214))+~P1(f329(f329(f239(x80211),f2(x80211)),x80213))+P1(f329(f329(f239(x80211),f329(f329(f292(x80211),x80212),x80213)),f329(f329(f292(x80211),x80214),x80213))) % 166.45/166.23 [8023]~P132(x80231)+~P1(f329(f329(f240(x80231),x80233),x80234))+~P1(f329(f329(f240(x80231),f2(x80231)),x80232))+P1(f329(f329(f240(x80231),f329(f329(f83(x80231),x80232),x80233)),f329(f329(f83(x80231),x80232),x80234))) % 166.45/166.23 [8024]~P122(x80241)+~P1(f329(f329(f240(x80241),x80243),x80244))+~P1(f329(f329(f240(x80241),f2(x80241)),x80242))+P1(f329(f329(f240(x80241),f329(f329(f83(x80241),x80242),x80243)),f329(f329(f83(x80241),x80242),x80244))) % 166.45/166.23 [8025]~P129(x80251)+~P1(f329(f329(f240(x80251),x80252),x80254))+~P1(f329(f329(f240(x80251),f2(x80251)),x80253))+P1(f329(f329(f240(x80251),f329(f329(f83(x80251),x80252),x80253)),f329(f329(f83(x80251),x80254),x80253))) % 166.45/166.23 [8026]~P132(x80261)+~P1(f329(f329(f240(x80261),x80262),x80264))+~P1(f329(f329(f240(x80261),f2(x80261)),x80263))+P1(f329(f329(f240(x80261),f329(f329(f83(x80261),x80262),x80263)),f329(f329(f83(x80261),x80264),x80263))) % 166.45/166.23 [8027]~P129(x80271)+~P1(f329(f329(f240(x80271),x80273),x80274))+~P1(f329(f329(f240(x80271),f2(x80271)),x80272))+P1(f329(f329(f240(x80271),f329(f329(f83(x80271),x80272),x80273)),f329(f329(f83(x80271),x80272),x80274))) % 166.45/166.23 [8028]~P73(x80281)+~P1(f329(f329(f240(x80281),x80282),x80284))+~P1(f329(f329(f240(x80281),f2(x80281)),x80283))+P1(f329(f329(f240(x80281),f329(f329(f292(x80281),x80282),x80283)),f329(f329(f292(x80281),x80284),x80283))) % 166.45/166.23 [8071]~P113(x80712)+P1(f329(f329(f240(f913(x80711,x80712)),x80714),x80713))+~P1(f329(f329(f239(f913(x80711,x80712)),x80714),x80713))+P1(f329(f329(f239(f913(x80711,x80712)),x80713),x80714)) % 166.45/166.23 [8116]P1(f329(f329(f331(x81161),x81162),x81163))+P1(f329(f329(f331(x81161),x81162),x81164))+~P1(f329(f329(f239(f913(x81161,a900)),x81164),x81163))+P1(f329(f329(f240(f913(x81161,a900)),x81164),f329(f329(f311(x81161),x81162),x81163))) % 166.45/166.23 [8279]P1(f329(f329(f331(x82791),x82792),x82793))+P1(f329(f329(f331(x82791),x82792),x82794))+~P1(f329(f329(f240(f913(x82791,a900)),x82794),f329(f329(f311(x82791),x82792),x82793)))+P1(f329(f329(f239(f913(x82791,a900)),x82794),x82793)) % 166.45/166.23 [8346]~P129(x83461)+P1(f329(f329(f240(x83461),x83463),x83462))+P1(f329(f329(f240(x83461),x83462),x83463))+~P1(f329(f329(f240(x83461),f329(f329(f83(x83461),x83464),x83462)),f329(f329(f83(x83461),x83464),x83463))) % 166.45/166.23 [8347]~P129(x83471)+P1(f329(f329(f240(x83471),x83473),x83472))+P1(f329(f329(f240(x83471),x83472),x83473))+~P1(f329(f329(f240(x83471),f329(f329(f83(x83471),x83472),x83474)),f329(f329(f83(x83471),x83473),x83474))) % 166.45/166.23 [8358]~P129(x83581)+P1(f329(f329(f240(x83581),x83584),f2(x83581)))+P1(f329(f329(f240(x83581),x83582),x83583))+~P1(f329(f329(f240(x83581),f329(f329(f83(x83581),x83582),x83584)),f329(f329(f83(x83581),x83583),x83584))) % 166.45/166.23 [8359]~P129(x83591)+P1(f329(f329(f240(x83591),x83594),f2(x83591)))+P1(f329(f329(f240(x83591),x83592),x83593))+~P1(f329(f329(f240(x83591),f329(f329(f83(x83591),x83594),x83592)),f329(f329(f83(x83591),x83594),x83593))) % 166.45/166.23 [8362]~P129(x83621)+P1(f329(f329(f240(x83621),x83622),x83623))+P1(f329(f329(f240(x83621),f2(x83621)),x83624))+~P1(f329(f329(f240(x83621),f329(f329(f83(x83621),x83624),x83623)),f329(f329(f83(x83621),x83624),x83622))) % 166.45/166.23 [8363]~P129(x83631)+P1(f329(f329(f240(x83631),x83632),x83633))+P1(f329(f329(f240(x83631),f2(x83631)),x83634))+~P1(f329(f329(f240(x83631),f329(f329(f83(x83631),x83633),x83634)),f329(f329(f83(x83631),x83632),x83634))) % 166.45/166.23 [8376]~P129(x83761)+P1(f329(f329(f240(x83761),x83762),f2(x83761)))+P1(f329(f329(f240(x83761),f2(x83761)),x83762))+~P1(f329(f329(f240(x83761),f329(f329(f83(x83761),x83763),x83762)),f329(f329(f83(x83761),x83764),x83762))) % 166.45/166.23 [8377]~P129(x83771)+P1(f329(f329(f240(x83771),x83772),f2(x83771)))+P1(f329(f329(f240(x83771),f2(x83771)),x83772))+~P1(f329(f329(f240(x83771),f329(f329(f83(x83771),x83772),x83773)),f329(f329(f83(x83771),x83772),x83774))) % 166.45/166.23 [8407]~P129(x84071)+~P1(f329(f329(f240(x84071),x84074),f2(x84071)))+P1(f329(f329(f239(x84071),x84072),x84073))+~P1(f329(f329(f239(x84071),f329(f329(f83(x84071),x84074),x84073)),f329(f329(f83(x84071),x84074),x84072))) % 166.45/166.23 [8408]~P129(x84081)+~P1(f329(f329(f240(x84081),x84084),f2(x84081)))+P1(f329(f329(f240(x84081),x84082),x84083))+~P1(f329(f329(f240(x84081),f329(f329(f83(x84081),x84084),x84083)),f329(f329(f83(x84081),x84084),x84082))) % 166.45/166.23 [8421]~P127(x84213)+~P1(f329(f329(f240(x84213),f80(x84213)),x84214))+P1(f329(f329(f239(a905),x84211),x84212))+~P1(f329(f329(f239(x84213),f329(f329(f249(x84213),x84214),x84211)),f329(f329(f249(x84213),x84214),x84212))) % 166.45/166.23 [8423]~P127(x84233)+~P1(f329(f329(f240(x84233),f80(x84233)),x84234))+P1(f329(f329(f240(a905),x84231),x84232))+~P1(f329(f329(f240(x84233),f329(f329(f249(x84233),x84234),x84231)),f329(f329(f249(x84233),x84234),x84232))) % 166.45/166.23 [8433]~P129(x84331)+P1(f329(f329(f239(x84331),x84332),x84333))+~P1(f329(f329(f240(x84331),f2(x84331)),x84334))+~P1(f329(f329(f239(x84331),f329(f329(f83(x84331),x84334),x84332)),f329(f329(f83(x84331),x84334),x84333))) % 166.45/166.23 [8434]~P132(x84341)+P1(f329(f329(f239(x84341),x84342),x84343))+~P1(f329(f329(f240(x84341),f2(x84341)),x84344))+~P1(f329(f329(f239(x84341),f329(f329(f83(x84341),x84344),x84342)),f329(f329(f83(x84341),x84344),x84343))) % 166.45/166.23 [8435]~P132(x84351)+P1(f329(f329(f239(x84351),x84352),x84353))+~P1(f329(f329(f240(x84351),f2(x84351)),x84354))+~P1(f329(f329(f239(x84351),f329(f329(f83(x84351),x84352),x84354)),f329(f329(f83(x84351),x84353),x84354))) % 166.45/166.23 [8436]~P129(x84361)+P1(f329(f329(f240(x84361),x84362),x84363))+~P1(f329(f329(f240(x84361),f2(x84361)),x84364))+~P1(f329(f329(f240(x84361),f329(f329(f83(x84361),x84364),x84362)),f329(f329(f83(x84361),x84364),x84363))) % 166.45/166.23 [8437]~P132(x84371)+P1(f329(f329(f240(x84371),x84372),x84373))+~P1(f329(f329(f239(x84371),f2(x84371)),x84374))+~P1(f329(f329(f240(x84371),f329(f329(f83(x84371),x84374),x84372)),f329(f329(f83(x84371),x84374),x84373))) % 166.45/166.23 [8438]~P133(x84381)+P1(f329(f329(f240(x84381),x84382),x84383))+~P1(f329(f329(f239(x84381),f2(x84381)),x84384))+~P1(f329(f329(f240(x84381),f329(f329(f83(x84381),x84384),x84382)),f329(f329(f83(x84381),x84384),x84383))) % 166.45/166.23 [8439]~P127(x84391)+~P1(f329(f329(f239(x84391),f2(x84391)),x84393))+P1(f329(f329(f240(x84391),x84392),x84393))+~P1(f329(f329(f240(x84391),f329(f329(f249(x84391),x84392),x84394)),f329(f329(f249(x84391),x84393),x84394))) % 166.45/166.23 [8440]~P132(x84401)+P1(f329(f329(f240(x84401),x84402),x84403))+~P1(f329(f329(f239(x84401),f2(x84401)),x84404))+~P1(f329(f329(f240(x84401),f329(f329(f83(x84401),x84402),x84404)),f329(f329(f83(x84401),x84403),x84404))) % 166.45/166.23 [8441]~P133(x84411)+P1(f329(f329(f240(x84411),x84412),x84413))+~P1(f329(f329(f239(x84411),f2(x84411)),x84414))+~P1(f329(f329(f240(x84411),f329(f329(f83(x84411),x84412),x84414)),f329(f329(f83(x84411),x84413),x84414))) % 166.45/166.23 [8482]P1(f329(f329(f331(x84821),x84822),x84823))+~P1(f329(f329(f239(f913(x84821,a900)),x84823),x84824))+~P1(f329(f329(f240(f913(x84821,a900)),x84823),x84824))+P1(f329(f329(f240(f913(x84821,a900)),x84823),f329(f329(f311(x84821),x84822),x84824))) % 166.45/166.23 [8860]E(f329(f329(f23(a1),f354(x88601,x88602,x88603,x88604)),f355(x88601,x88602,x88603,x88604)),x88604)+~P1(f329(f329(f240(a1),f2(a1)),x88603))+~P1(f329(f329(f239(a1),x88601),x88604))+P1(f329(f329(f239(a1),x88601),f329(f329(f82(a1),x88604),x88603))) % 166.45/166.23 [8861]E(f329(f329(f23(a1),f379(x88611,x88612,x88613,x88614)),f380(x88611,x88612,x88613,x88614)),x88614)+~P1(f329(f329(f240(a1),f2(a1)),x88613))+~P1(f329(f329(f240(a1),x88611),x88614))+P1(f329(f329(f240(a1),x88611),f329(f329(f82(a1),x88614),x88613))) % 166.45/166.23 [9006]~E(f329(f329(f167(x90061),x90063),f693(x90064,x90063,x90061,x90062)),f329(f329(f167(x90061),x90064),f693(x90064,x90063,x90061,x90062)))+E(f329(f329(f178(x90061),x90062),x90063),f329(f329(f178(x90061),x90062),x90064))+~P1(f329(f329(f239(a905),x90062),f329(f192(f906(x90061)),x90063)))+~P1(f329(f329(f239(a905),x90062),f329(f192(f906(x90061)),x90064))) % 166.45/166.23 [9074]~P1(f329(f329(f240(a1),f2(a1)),x90743))+~P1(f329(f329(f239(a1),x90741),x90744))+P1(f329(f329(f331(a1),f354(x90741,x90742,x90743,x90744)),x90742))+P1(f329(f329(f239(a1),x90741),f329(f329(f82(a1),x90744),x90743))) % 166.45/166.23 [9075]~P1(f329(f329(f240(a1),f2(a1)),x90753))+~P1(f329(f329(f240(a1),x90751),x90754))+P1(f329(f329(f331(a1),f379(x90751,x90752,x90753,x90754)),x90752))+P1(f329(f329(f240(a1),x90751),f329(f329(f82(a1),x90754),x90753))) % 166.45/166.23 [9115]~P107(x91151)+~P1(f329(f63(x91151),x91153))+~P1(f329(f329(f331(x91151),x91154),x91153))+P1(f329(f329(f239(x91151),f329(f329(f66(x91151,x91151,f106(x91151)),x91152),x91153)),f329(f329(f106(x91151),x91154),x91152))) % 166.45/166.23 [9116]~P105(x91161)+~P1(f329(f63(x91161),x91163))+~P1(f329(f329(f331(x91161),x91164),x91163))+P1(f329(f329(f239(x91161),f329(f329(f66(x91161,x91161,f237(x91161)),x91162),x91163)),f329(f329(f237(x91161),x91164),x91162))) % 166.45/166.23 [9163]E(f329(f329(f178(x91631),x91632),x91633),f329(f329(f178(x91631),x91632),x91634))+P1(f329(f329(f240(a905),f693(x91633,x91634,x91631,x91632)),x91632))+~P1(f329(f329(f239(a905),x91632),f329(f192(f906(x91631)),x91633)))+~P1(f329(f329(f239(a905),x91632),f329(f192(f906(x91631)),x91634))) % 166.45/166.23 [9168]~P1(f329(f329(f240(a1),f2(a1)),x91683))+~P1(f329(f329(f239(a1),x91681),x91682))+P1(f329(f329(f331(a1),f355(x91681,x91684,x91683,x91682)),f305(a1,f80(a1),x91683)))+P1(f329(f329(f239(a1),x91681),f329(f329(f82(a1),x91682),x91683))) % 166.45/166.23 [9169]~P1(f329(f329(f240(a1),f2(a1)),x91693))+~P1(f329(f329(f240(a1),x91691),x91692))+P1(f329(f329(f331(a1),f380(x91691,x91694,x91693,x91692)),f305(a1,f80(a1),x91693)))+P1(f329(f329(f240(a1),x91691),f329(f329(f82(a1),x91692),x91693))) % 166.45/166.23 [9495]~P105(x94951)+~P1(f329(f63(x94951),x94954))+P1(f329(f329(f331(x94951),f654(x94952,x94953,x94954,x94951)),x94954))+P1(f329(f329(f239(x94951),f329(f329(f66(x94951,x94951,f238(x94951)),x94952),x94954)),f329(f329(f238(x94951),x94953),x94952))) % 166.45/166.23 [9496]~P106(x94961)+~P1(f329(f63(x94961),x94964))+P1(f329(f329(f331(x94961),f659(x94962,x94963,x94964,x94961)),x94964))+P1(f329(f329(f239(x94961),f329(f329(f66(x94961,x94961,f115(x94961)),x94962),x94964)),f329(f329(f115(x94961),x94963),x94962))) % 166.45/166.23 [9624]~P106(x96241)+~P1(f329(f63(x96241),x96243))+~P1(f329(f329(f239(x96241),f659(x96242,x96244,x96243,x96241)),x96244))+P1(f329(f329(f239(x96241),f329(f329(f66(x96241,x96241,f115(x96241)),x96242),x96243)),f329(f329(f115(x96241),x96244),x96242))) % 166.45/166.23 [9625]~P105(x96251)+~P1(f329(f63(x96251),x96253))+~P1(f329(f329(f239(x96251),f654(x96252,x96254,x96253,x96251)),x96254))+P1(f329(f329(f239(x96251),f329(f329(f66(x96251,x96251,f238(x96251)),x96252),x96253)),f329(f329(f238(x96251),x96254),x96252))) % 166.45/166.23 [9627]~P1(f329(f329(f239(a1),f2(a1)),x96274))+~P1(f329(f329(f240(a1),f2(a1)),x96273))+~P1(f329(f329(f240(a1),x96274),x96271))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96271),f47(a1,x96272,x96273))),x96274)),f329(f329(f83(a1),x96271),x96273))) % 166.45/166.23 [10014]E(x100141,x100142)+P1(f329(f329(f331(f912(f906(x100143),f906(x100143))),f329(f329(f257(f906(x100143),f906(x100143)),x100142),x100141)),f150(x100143,x100144)))+P1(f329(f329(f331(f912(f906(x100143),f906(x100143))),f329(f329(f257(f906(x100143),f906(x100143)),x100141),x100142)),f150(x100143,x100144)))+~P1(f329(f329(f331(f912(x100143,x100143)),f329(f329(f257(x100143,x100143),f682(x100141,x100142,x100144,x100143)),f683(x100141,x100142,x100144,x100143))),x100144)) % 166.45/166.23 [10015]E(x100151,x100152)+P1(f329(f329(f331(f912(f906(x100153),f906(x100153))),f329(f329(f257(f906(x100153),f906(x100153)),x100152),x100151)),f150(x100153,x100154)))+P1(f329(f329(f331(f912(f906(x100153),f906(x100153))),f329(f329(f257(f906(x100153),f906(x100153)),x100151),x100152)),f150(x100153,x100154)))+~P1(f329(f329(f331(f912(x100153,x100153)),f329(f329(f257(x100153,x100153),f683(x100151,x100152,x100154,x100153)),f682(x100151,x100152,x100154,x100153))),x100154)) % 166.45/166.23 [7556]~P106(x75561)+~P1(f329(f329(f239(x75561),x75563),x75564))+~P1(f329(f329(f239(x75561),x75562),x75564))+P1(f329(f329(f239(x75561),f329(f329(f115(x75561),x75562),x75563)),x75564)) % 166.45/166.23 [7559]~P105(x75591)+~P1(f329(f329(f239(x75591),x75593),x75594))+~P1(f329(f329(f239(x75591),x75592),x75594))+P1(f329(f329(f239(x75591),f329(f329(f238(x75591),x75592),x75593)),x75594)) % 166.45/166.23 [7560]~P105(x75601)+~P1(f329(f329(f240(x75601),x75603),x75604))+~P1(f329(f329(f240(x75601),x75602),x75604))+P1(f329(f329(f240(x75601),f329(f329(f238(x75601),x75602),x75603)),x75604)) % 166.45/166.23 [7877]~E(x78771,x78773)+E(f142(a905,f329(f304(a905,x78771),x78772)),f329(f329(f154(a905),x78773),x78774))+~E(f142(a905,f329(f304(a905,f329(f329(f82(a905),x78771),f80(a905))),x78772)),x78774)+~P1(f329(f329(f240(a905),x78771),x78772)) % 166.45/166.23 [7887]~P105(x78871)+P1(f329(f329(f239(x78871),x78872),x78873))+P1(f329(f329(f239(x78871),x78874),x78873))+~P1(f329(f329(f239(x78871),f329(f329(f237(x78871),x78874),x78872)),x78873)) % 166.45/166.23 [7888]~P105(x78881)+P1(f329(f329(f240(x78881),x78882),x78883))+P1(f329(f329(f240(x78881),x78884),x78883))+~P1(f329(f329(f240(x78881),f329(f329(f237(x78881),x78884),x78882)),x78883)) % 166.45/166.23 [8178]~P72(x81781)+~P1(f329(f329(f240(x81781),f2(x81781)),x81783))+~P1(f329(f329(f239(x81781),x81782),f329(f329(f292(x81781),x81784),x81783)))+P1(f329(f329(f239(x81781),f329(f329(f83(x81781),x81782),x81783)),x81784)) % 166.45/166.23 [8179]~P73(x81791)+~P1(f329(f329(f240(x81791),f2(x81791)),x81793))+~P1(f329(f329(f239(x81791),x81792),f329(f329(f292(x81791),x81794),x81793)))+P1(f329(f329(f239(x81791),f329(f329(f83(x81791),x81792),x81793)),x81794)) % 166.45/166.23 [8181]~P72(x81811)+~P1(f329(f329(f240(x81811),f2(x81811)),x81813))+~P1(f329(f329(f239(x81811),x81812),f329(f329(f83(x81811),x81814),x81813)))+P1(f329(f329(f239(x81811),f329(f329(f292(x81811),x81812),x81813)),x81814)) % 166.45/166.23 [8182]~P73(x81821)+~P1(f329(f329(f240(x81821),f2(x81821)),x81823))+~P1(f329(f329(f239(x81821),x81822),f329(f329(f83(x81821),x81824),x81823)))+P1(f329(f329(f239(x81821),f329(f329(f292(x81821),x81822),x81823)),x81824)) % 166.45/166.23 [8183]~P72(x81831)+~P1(f329(f329(f240(x81831),f2(x81831)),x81833))+~P1(f329(f329(f240(x81831),x81832),f329(f329(f292(x81831),x81834),x81833)))+P1(f329(f329(f240(x81831),f329(f329(f83(x81831),x81832),x81833)),x81834)) % 166.45/166.23 [8184]~P73(x81841)+~P1(f329(f329(f240(x81841),f2(x81841)),x81843))+~P1(f329(f329(f240(x81841),x81842),f329(f329(f292(x81841),x81844),x81843)))+P1(f329(f329(f240(x81841),f329(f329(f83(x81841),x81842),x81843)),x81844)) % 166.45/166.23 [8186]~P72(x81861)+~P1(f329(f329(f240(x81861),f2(x81861)),x81863))+~P1(f329(f329(f240(x81861),x81862),f329(f329(f83(x81861),x81864),x81863)))+P1(f329(f329(f240(x81861),f329(f329(f292(x81861),x81862),x81863)),x81864)) % 166.45/166.23 [8187]~P73(x81871)+~P1(f329(f329(f240(x81871),f2(x81871)),x81873))+~P1(f329(f329(f240(x81871),x81872),f329(f329(f83(x81871),x81874),x81873)))+P1(f329(f329(f240(x81871),f329(f329(f292(x81871),x81872),x81873)),x81874)) % 166.45/166.23 [8315]~P72(x83151)+~P1(f329(f329(f240(x83151),f2(x83151)),x83154))+P1(f329(f329(f239(x83151),x83152),f329(f329(f83(x83151),x83153),x83154)))+~P1(f329(f329(f239(x83151),f329(f329(f292(x83151),x83152),x83154)),x83153)) % 166.45/166.23 [8317]~P72(x83171)+~P1(f329(f329(f240(x83171),f2(x83171)),x83174))+P1(f329(f329(f239(x83171),x83172),f329(f329(f292(x83171),x83173),x83174)))+~P1(f329(f329(f239(x83171),f329(f329(f83(x83171),x83172),x83174)),x83173)) % 166.45/166.23 [8318]~P73(x83181)+~P1(f329(f329(f240(x83181),f2(x83181)),x83184))+P1(f329(f329(f239(x83181),x83182),f329(f329(f83(x83181),x83183),x83184)))+~P1(f329(f329(f239(x83181),f329(f329(f292(x83181),x83182),x83184)),x83183)) % 166.45/166.23 [8319]~P73(x83191)+~P1(f329(f329(f240(x83191),f2(x83191)),x83194))+P1(f329(f329(f239(x83191),x83192),f329(f329(f292(x83191),x83193),x83194)))+~P1(f329(f329(f239(x83191),f329(f329(f83(x83191),x83192),x83194)),x83193)) % 166.45/166.23 [8320]~P72(x83201)+~P1(f329(f329(f240(x83201),f2(x83201)),x83204))+P1(f329(f329(f240(x83201),x83202),f329(f329(f83(x83201),x83203),x83204)))+~P1(f329(f329(f240(x83201),f329(f329(f292(x83201),x83202),x83204)),x83203)) % 166.45/166.23 [8322]~P72(x83221)+~P1(f329(f329(f240(x83221),f2(x83221)),x83224))+P1(f329(f329(f240(x83221),x83222),f329(f329(f292(x83221),x83223),x83224)))+~P1(f329(f329(f240(x83221),f329(f329(f83(x83221),x83222),x83224)),x83223)) % 166.45/166.23 [8323]~P73(x83231)+~P1(f329(f329(f240(x83231),f2(x83231)),x83234))+P1(f329(f329(f240(x83231),x83232),f329(f329(f83(x83231),x83233),x83234)))+~P1(f329(f329(f240(x83231),f329(f329(f292(x83231),x83232),x83234)),x83233)) % 166.45/166.23 [8324]~P73(x83241)+~P1(f329(f329(f240(x83241),f2(x83241)),x83244))+P1(f329(f329(f240(x83241),x83242),f329(f329(f292(x83241),x83243),x83244)))+~P1(f329(f329(f240(x83241),f329(f329(f83(x83241),x83242),x83244)),x83243)) % 166.45/166.23 [8486]~P73(x84861)+~P1(f329(f329(f240(x84861),x84863),f2(x84861)))+~P1(f329(f329(f239(x84861),f329(f329(f292(x84861),x84864),x84863)),x84862))+P1(f329(f329(f239(x84861),f329(f329(f83(x84861),x84862),x84863)),x84864)) % 166.45/166.23 [8487]~P73(x84871)+~P1(f329(f329(f240(x84871),x84873),f2(x84871)))+~P1(f329(f329(f239(x84871),f329(f329(f83(x84871),x84874),x84873)),x84872))+P1(f329(f329(f239(x84871),f329(f329(f292(x84871),x84872),x84873)),x84874)) % 166.45/166.23 [8488]~P73(x84881)+~P1(f329(f329(f240(x84881),x84883),f2(x84881)))+~P1(f329(f329(f240(x84881),f329(f329(f292(x84881),x84884),x84883)),x84882))+P1(f329(f329(f240(x84881),f329(f329(f83(x84881),x84882),x84883)),x84884)) % 166.45/166.23 [8489]~P73(x84891)+~P1(f329(f329(f240(x84891),x84893),f2(x84891)))+~P1(f329(f329(f240(x84891),f329(f329(f83(x84891),x84894),x84893)),x84892))+P1(f329(f329(f240(x84891),f329(f329(f292(x84891),x84892),x84893)),x84894)) % 166.45/166.23 [8501]~P1(f329(x85011,x85014))+~P1(f329(f329(f240(a905),x85012),f329(f329(f83(a905),x85013),f329(a117,x85014))))+P1(f329(x85011,f329(f329(f38(a905),x85012),x85013)))+~P1(f329(f329(f239(a905),f329(f329(f83(a905),x85013),x85014)),x85012)) % 166.45/166.23 [8721]~P106(x87211)+~P1(f329(f63(x87211),x87214))+~P1(f329(f329(f331(x87211),x87212),x87214))+P1(f329(f329(f239(x87211),f329(f329(f115(x87211),x87212),x87213)),f329(f329(f66(x87211,x87211,f115(x87211)),x87213),x87214))) % 166.45/166.23 [8722]~P105(x87221)+~P1(f329(f63(x87221),x87224))+~P1(f329(f329(f331(x87221),x87222),x87224))+P1(f329(f329(f239(x87221),f329(f329(f238(x87221),x87222),x87223)),f329(f329(f66(x87221,x87221,f238(x87221)),x87223),x87224))) % 166.45/166.23 [8862]~P1(f329(f63(x88621),x88622))+E(f329(f37(x88621),f329(f329(f23(f913(x88621,a900)),x88622),f329(f329(f311(x88621),x88623),x88624))),f329(f329(f23(a905),f329(f37(x88621),f329(f329(f23(f913(x88621,a900)),x88622),x88624))),f80(a905)))+P1(f329(f329(f331(x88621),x88623),x88624))+~P1(f329(f329(f331(x88621),x88623),x88622)) % 166.45/166.23 [8935]E(f329(f329(f82(a1),f356(x89351,x89352,x89353,x89354)),f357(x89351,x89352,x89353,x89354)),x89354)+~P1(f329(f329(f240(a1),f2(a1)),x89353))+~P1(f329(f329(f239(a1),x89354),x89351))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x89354),x89353)),x89351)) % 166.45/166.23 [8936]E(f329(f329(f82(a1),f381(x89361,x89362,x89363,x89364)),f382(x89361,x89362,x89363,x89364)),x89364)+~P1(f329(f329(f240(a1),f2(a1)),x89363))+~P1(f329(f329(f240(a1),x89364),x89361))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x89364),x89363)),x89361)) % 166.45/166.23 [9148]~P1(f329(f329(f240(a1),f2(a1)),x91483))+~P1(f329(f329(f239(a1),x91484),x91481))+P1(f329(f329(f331(a1),f356(x91481,x91482,x91483,x91484)),x91482))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x91484),x91483)),x91481)) % 166.45/166.23 [9149]~P1(f329(f329(f240(a1),f2(a1)),x91493))+~P1(f329(f329(f240(a1),x91494),x91491))+P1(f329(f329(f331(a1),f381(x91491,x91492,x91493,x91494)),x91492))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x91494),x91493)),x91491)) % 166.45/166.23 [9236]~P1(f329(f329(f240(a1),f2(a1)),x92362))+~P1(f329(f329(f239(a1),x92361),x92363))+P1(f329(f329(f331(a1),f357(x92363,x92364,x92362,x92361)),f305(a1,f80(a1),x92362)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x92361),x92362)),x92363)) % 166.45/166.23 [9237]~P1(f329(f329(f240(a1),f2(a1)),x92372))+~P1(f329(f329(f240(a1),x92371),x92373))+P1(f329(f329(f331(a1),f382(x92373,x92374,x92372,x92371)),f305(a1,f80(a1),x92372)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x92371),x92372)),x92373)) % 166.45/166.23 [9260]~P1(f329(f329(f239(a1),f2(a1)),x92604))+~P1(f329(f329(f240(a1),f2(a1)),x92603))+~P1(f329(f329(f240(a1),x92604),x92601))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92601),f47(a1,x92602,x92603))),x92604))) % 166.45/166.23 [9291]E(x92911,x92912)+~P39(x92913,x92914)+~P1(f329(f329(f331(f912(x92913,x92913)),f329(f329(f257(x92913,x92913),x92912),x92911)),x92914))+~P1(f329(f329(f331(f912(x92913,x92913)),f329(f329(f257(x92913,x92913),x92911),x92912)),x92914)) % 166.45/166.23 [9325]~P107(x93251)+~P1(f329(f63(x93251),x93254))+~P1(f329(f329(f239(x93251),x93252),f658(x93253,x93252,x93254,x93251)))+P1(f329(f329(f239(x93251),f329(f329(f106(x93251),x93252),x93253)),f329(f329(f66(x93251,x93251,f106(x93251)),x93253),x93254))) % 166.45/166.24 [9326]~P105(x93261)+~P1(f329(f63(x93261),x93264))+~P1(f329(f329(f239(x93261),x93262),f653(x93263,x93262,x93264,x93261)))+P1(f329(f329(f239(x93261),f329(f329(f237(x93261),x93262),x93263)),f329(f329(f66(x93261,x93261,f237(x93261)),x93263),x93264))) % 166.45/166.24 [9340]~P1(f329(f329(f239(a1),x93404),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x93402))+~P1(f329(f329(f240(a1),x93401),x93404))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x93401),x93402)),f329(f329(f82(a1),f329(f329(f83(a1),x93401),f47(a1,x93403,x93402))),x93404))) % 166.45/166.24 [9363]P1(f329(f63(x93631),x93632))+~P1(f329(f63(x93631),x93633))+~P1(f329(f329(f331(f913(x93631,a900)),x93632),f329(f329(f62(x93631),x93633),x93634)))+~P1(f329(f329(f239(f913(f912(x93631,x93631),a900)),x93634),f329(f329(f259(x93631,x93631),x93633),f329(f16(f913(x93631,a900),x93631),x93633)))) % 166.45/166.24 [9387]~P105(x93871)+~P1(f329(f63(x93871),x93874))+P1(f329(f329(f331(x93871),f653(x93872,x93873,x93874,x93871)),x93874))+P1(f329(f329(f239(x93871),f329(f329(f237(x93871),x93873),x93872)),f329(f329(f66(x93871,x93871,f237(x93871)),x93872),x93874))) % 166.45/166.24 [9388]~P107(x93881)+~P1(f329(f63(x93881),x93884))+P1(f329(f329(f331(x93881),f658(x93882,x93883,x93884,x93881)),x93884))+P1(f329(f329(f239(x93881),f329(f329(f106(x93881),x93883),x93882)),f329(f329(f66(x93881,x93881,f106(x93881)),x93882),x93884))) % 166.45/166.24 [9399]~P40(f913(x93991,a900),f913(x93991,a900),x93993)+~P1(f329(f329(f331(x93991),x93992),x93994))+P1(f329(f329(f331(x93991),x93992),f101(f913(x93991,a900),x93993)))+~P1(f329(f329(f239(f913(x93991,a900)),x93994),f329(x93993,f329(f329(f115(f913(x93991,a900)),x93994),f101(f913(x93991,a900),x93993))))) % 166.45/166.24 [9579]~P40(f913(x95793,a900),f913(x95793,a900),x95794)+P1(f329(x95791,x95792))+~P1(f329(f329(f331(x95793),x95792),f100(f913(x95793,a900),x95794)))+P1(f329(f329(f331(x95793),f413(x95791,x95794,x95792,x95793)),f329(x95794,f329(f329(f106(f913(x95793,a900)),f100(f913(x95793,a900),x95794)),f329(f267(x95793),x95791))))) % 166.45/166.24 [9792]~P1(f329(f63(x97922),x97924))+~P1(f329(f63(x97921),x97923))+~P1(f329(f329(f239(a905),f329(f37(x97922),x97924)),f329(f37(x97921),x97923)))+P1(f329(f329(f239(f913(x97921,a900)),f329(f312(x97922,x97921,f881(x97923,x97921,x97924,x97922)),x97924)),x97923)) % 166.45/166.24 [9437]~P1(f329(f329(f331(x94371),x94372),x94374))+P1(f329(f329(f331(x94371),x94372),x94373))+~P1(f329(f329(f240(f913(x94371,a900)),x94374),f329(f329(f311(x94371),x94372),x94373)))+P1(f329(f329(f240(f913(x94371,a900)),f329(f329(f23(f913(x94371,a900)),x94374),f329(f329(f311(x94371),x94372),f191(f913(x94371,a900))))),x94373)) % 166.45/166.24 [9604]~P1(f329(f329(f331(x96041),x96042),x96044))+P1(f329(f329(f331(x96041),x96042),x96043))+P1(f329(f329(f240(f913(x96041,a900)),x96044),f329(f329(f311(x96041),x96042),x96043)))+~P1(f329(f329(f240(f913(x96041,a900)),f329(f329(f23(f913(x96041,a900)),x96044),f329(f329(f311(x96041),x96042),f191(f913(x96041,a900))))),x96043)) % 166.45/166.24 [9630]P1(f329(f329(f331(x96301),x96302),x96303))+~P1(f329(f329(f239(f913(x96301,a900)),x96304),x96303))+P1(f329(f329(f240(f913(x96301,a900)),x96304),f329(f329(f311(x96301),x96302),x96303)))+~P1(f329(f329(f240(f913(x96301,a900)),f329(f329(f23(f913(x96301,a900)),x96304),f329(f329(f311(x96301),x96302),f191(f913(x96301,a900))))),x96303)) % 166.45/166.24 [9635]~P1(f329(f329(f331(x96351),x96353),x96352))+~P1(f329(f329(f240(f913(x96351,a900)),x96352),x96354))+P1(f329(f329(f240(f913(x96351,a900)),x96352),f329(f329(f311(x96351),x96353),x96354)))+~P1(f329(f329(f240(f913(x96351,a900)),f329(f329(f23(f913(x96351,a900)),x96352),f329(f329(f311(x96351),x96353),f191(f913(x96351,a900))))),x96354)) % 166.45/166.24 [9650]~P1(f329(f329(f239(f913(x96501,a900)),x96502),x96504))+~P1(f329(f329(f240(f913(x96501,a900)),x96502),x96504))+P1(f329(f329(f240(f913(x96501,a900)),x96502),f329(f329(f311(x96501),x96503),x96504)))+~P1(f329(f329(f240(f913(x96501,a900)),f329(f329(f23(f913(x96501,a900)),x96502),f329(f329(f311(x96501),x96503),f191(f913(x96501,a900))))),x96504)) % 166.45/166.24 [9695]~P112(x96952)+~P3(x96951)+~P1(f329(f329(f239(f913(x96951,x96952)),x96953),x96954))+P1(f329(f59(x96951),f329(f329(f18(x96951,x96952,a900),f329(f329(f8(x96952,f913(x96952,a900),x96951),f239(x96952)),x96953)),x96954))) % 166.45/166.24 [9840]~P112(x98402)+~P3(x98401)+P1(f329(f329(f239(f913(x98401,x98402)),x98403),x98404))+~P1(f329(f59(x98401),f329(f329(f18(x98401,x98402,a900),f329(f329(f8(x98402,f913(x98402,a900),x98401),f239(x98402)),x98403)),x98404))) % 166.45/166.24 [10326]~P40(f913(x103261,a900),f913(x103261,a900),x103263)+~P1(f329(f329(f331(x103261),x103262),x103264))+P1(f329(f329(f331(x103261),x103262),f101(f913(x103261,a900),x103263)))+~P1(f329(f329(f239(f913(x103261,a900)),x103264),f329(x103263,f100(f913(x103261,a900),f329(f329(f7(f913(x103261,a900),f913(x103261,a900),f913(x103261,a900)),f329(f329(f8(f913(x103261,a900),f913(f913(x103261,a900),f913(x103261,a900)),f913(x103261,a900)),f115(f913(x103261,a900))),f329(f329(f7(f913(x103261,a900),f913(x103261,a900),f913(x103261,a900)),f329(f329(f8(f913(x103261,a900),f913(f913(x103261,a900),f913(x103261,a900)),f913(x103261,a900)),f115(f913(x103261,a900))),x103263)),x103264))),f101(f913(x103261,a900),x103263)))))) % 166.45/166.24 [10005]E(f329(f329(f167(x100051),f329(f329(f167(f906(x100051)),f182(x100051,x100052)),x100053)),x100054),f329(f329(f167(x100051),f329(f329(f167(f906(x100051)),x100052),x100054)),x100053))+~P1(f329(f329(f240(a905),x100053),f329(f192(f906(f906(x100051))),f182(x100051,x100052))))+~P12(a905,f329(f171(a905),f329(f329(f157(f906(x100051),a905),f192(f906(x100051))),x100052)))+~P1(f329(f329(f240(a905),x100054),f329(f192(f906(f906(x100051))),f329(f139(f906(x100051),f329(f329(f8(a905,a900,f906(x100051)),f329(f240(a905),x100053)),f192(f906(x100051)))),x100052)))) % 166.45/166.24 [10026]~P1(f329(f329(f331(f912(a905,a905)),x100264),x100261))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x100264),x100262)),a34))+~P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100261),x100263)),a35))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100261),f329(f329(f311(f912(a905,a905)),x100262),x100263))),a35)) % 166.45/166.24 [10027]~P1(f329(f329(f331(f912(a905,a905)),x100274),x100271))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x100274),x100272)),a72))+~P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100271),x100273)),a73))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100271),f329(f329(f311(f912(a905,a905)),x100272),x100273))),a73)) % 166.45/166.24 [9920]~P112(x99202)+~P3(x99201)+~P1(f329(f329(f240(f913(x99201,x99202)),x99203),x99204))+P1(f329(f58(x99201),f329(f329(f8(a900,a900,x99201),a324),f329(f329(f18(x99201,x99202,a900),f329(f329(f8(x99202,f913(x99202,a900),x99201),a326),x99203)),x99204)))) % 166.45/166.24 [10039]~P1(f329(f329(f331(f912(a905,a905)),x100394),x100393))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x100391),x100394)),a34))+~P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100392),x100393)),a36))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f329(f329(f311(f912(a905,a905)),x100391),x100392)),x100393)),a36)) % 166.45/166.24 [10040]~P1(f329(f329(f331(f912(a905,a905)),x100404),x100403))+~P1(f329(f329(f331(f912(f912(a905,a905),f912(a905,a905))),f329(f329(f257(f912(a905,a905),f912(a905,a905)),x100401),x100404)),a72))+~P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),x100402),x100403)),a71))+P1(f329(f329(f331(f912(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900))),f329(f329(f257(f913(f912(a905,a905),a900),f913(f912(a905,a905),a900)),f329(f329(f311(f912(a905,a905)),x100401),x100402)),x100403)),a71)) % 166.45/166.24 [6138]~P6(x61384,x61381)+~P1(f329(f329(x61381,x61382),x61385))+P1(f329(f329(x61381,x61382),x61383))+~P1(f329(f329(x61381,x61385),x61383)) % 166.45/166.24 [6139]~P52(x61394,x61391)+~P1(f329(f329(x61391,x61392),x61395))+P1(f329(f329(x61391,x61392),x61393))+~P1(f329(f329(x61391,x61395),x61393)) % 166.45/166.24 [6140]~P14(x61404,x61401)+~P1(f329(f329(x61401,x61402),x61405))+P1(f329(f329(x61401,x61402),x61403))+~P1(f329(f329(x61401,x61405),x61403)) % 166.45/166.24 [9684]~P38(x96841,x96844)+P1(f329(f329(f331(f912(f906(x96841),f906(x96841))),f329(f329(f257(f906(x96841),f906(x96841)),x96842),x96843)),f150(x96841,x96844)))+~P1(f329(f329(f331(f912(f906(x96841),f906(x96841))),f329(f329(f257(f906(x96841),f906(x96841)),x96842),x96845)),f150(x96841,x96844)))+~P1(f329(f329(f331(f912(f906(x96841),f906(x96841))),f329(f329(f257(f906(x96841),f906(x96841)),x96845),x96843)),f150(x96841,x96844))) % 166.45/166.24 [5386]~P68(x53865)+E(x53861,x53862)+~E(x53863,x53864)+~E(f329(f329(f23(x53865),x53863),x53864),f329(f329(f23(x53865),x53861),x53862)) % 166.45/166.24 [6252]~P16(x62525,x62521,x62523)+E(f329(f329(x62521,x62522),f329(x62523,x62524)),f329(x62523,x62524))+~P1(f329(f63(x62525),x62524))+~P1(f329(f329(f331(x62525),x62522),x62524)) % 166.45/166.24 [6439]~P83(x64391)+~E(f329(f329(f23(x64391),x64394),x64395),f329(f329(f23(x64391),x64392),x64393))+~P1(f329(f329(f239(x64391),x64394),x64395))+P1(f329(f329(f239(x64391),x64392),x64393)) % 166.45/166.24 [6441]~P83(x64411)+~E(f329(f329(f23(x64411),x64414),x64415),f329(f329(f23(x64411),x64412),x64413))+~P1(f329(f329(f240(x64411),x64414),x64415))+P1(f329(f329(f240(x64411),x64412),x64413)) % 166.45/166.24 [7412]~E(x74122,f329(f329(f154(x74121),x74124),x74125))+P1(f329(f329(f331(f906(x74121)),x74122),f164(x74121,x74123)))+~P1(f329(f329(f331(f906(x74121)),x74125),f164(x74121,x74123)))+~P1(f329(f329(f331(x74121),x74124),x74123)) % 166.45/166.24 [7826]~E(f329(f192(f906(x78261)),x78263),f329(f192(f906(x78262)),x78264))+~E(f329(f329(f157(f912(x78261,x78262),x78262),f261(x78261,x78262)),x78265),x78264)+~E(f329(f329(f157(f912(x78261,x78262),x78261),f256(x78261,x78262)),x78265),x78263)+E(f329(f329(f184(x78261,x78262),x78263),x78264),x78265) % 166.45/166.24 [8175]~P112(x81751)+P1(f329(f329(f240(f913(x81751,a900)),f305(x81751,x81752,x81753)),f305(x81751,x81754,x81755)))+~P1(f329(f329(f239(x81751),x81754),x81755))+P1(f329(f329(f239(x81751),x81752),x81753)) % 166.45/166.24 [8272]~P112(x82721)+P1(f329(f329(f239(f913(x82721,a900)),f305(x82721,x82722,x82723)),f305(x82721,x82724,x82725)))+~P1(f329(f329(f239(x82721),x82723),x82725))+~P1(f329(f329(f239(x82721),x82724),x82722)) % 166.45/166.24 [8392]~P105(x83921)+P1(f329(f329(f239(x83921),x83922),x83923))+P1(f329(f329(f239(x83921),x83924),x83923))+~P1(f329(f329(f239(f913(x83921,a900)),f329(f304(x83921,x83923),x83922)),f329(f304(x83921,x83924),x83925))) % 166.45/166.24 [8393]~P105(x83931)+P1(f329(f329(f239(x83931),x83932),x83933))+P1(f329(f329(f239(x83931),x83932),x83934))+~P1(f329(f329(f239(f913(x83931,a900)),f329(f304(x83931,x83933),x83932)),f329(f304(x83931,x83935),x83934))) % 166.45/166.24 [8564]~P107(x85643)+~P107(x85641)+~P40(x85643,x85641,x85642)+P1(f329(f329(f239(x85641),f329(x85642,f329(f329(f106(x85643),x85644),x85645))),f329(f329(f106(x85641),f329(x85642,x85644)),f329(x85642,x85645)))) % 166.45/166.24 [8565]~P105(x85653)+~P107(x85651)+~P40(x85653,x85651,x85652)+P1(f329(f329(f239(x85651),f329(x85652,f329(f329(f237(x85653),x85654),x85655))),f329(f329(f106(x85651),f329(x85652,x85654)),f329(x85652,x85655)))) % 166.45/166.24 [8640]~P112(x86401)+~P1(f329(f329(f239(f913(x86401,a900)),f305(x86401,x86404,x86402)),f305(x86401,x86405,x86403)))+P1(f329(f329(f239(x86401),x86402),x86403))+~P1(f329(f329(f239(x86401),x86404),x86402)) % 166.45/166.24 [8641]~P112(x86411)+~P1(f329(f329(f240(f913(x86411,a900)),f305(x86411,x86414,x86412)),f305(x86411,x86415,x86413)))+P1(f329(f329(f239(x86411),x86412),x86413))+~P1(f329(f329(f239(x86411),x86414),x86412)) % 166.45/166.24 [8642]~P112(x86421)+~P1(f329(f329(f239(f913(x86421,a900)),f305(x86421,x86423,x86424)),f305(x86421,x86422,x86425)))+P1(f329(f329(f239(x86421),x86422),x86423))+~P1(f329(f329(f239(x86421),x86423),x86424)) % 166.45/166.24 [8643]~P112(x86431)+~P1(f329(f329(f240(f913(x86431,a900)),f305(x86431,x86433,x86434)),f305(x86431,x86432,x86435)))+P1(f329(f329(f239(x86431),x86432),x86433))+~P1(f329(f329(f239(x86431),x86433),x86434)) % 166.45/166.24 [6086]~P105(x60865)+~P105(x60861)+~P40(x60865,x60861,x60862)+E(f329(f329(f237(x60861),f329(x60862,x60863)),f329(x60862,x60864)),f329(x60862,f329(f329(f237(x60865),x60863),x60864))) % 166.45/166.24 [6087]~P105(x60875)+~P105(x60871)+~P40(x60875,x60871,x60872)+E(f329(f329(f238(x60871),f329(x60872,x60873)),f329(x60872,x60874)),f329(x60872,f329(f329(f238(x60875),x60873),x60874))) % 166.45/166.24 [6137]~P16(x61372,x61375,x61373)+E(x61371,f191(f913(x61372,a900)))+~P1(f329(f63(x61372),x61371))+E(f329(x61373,f329(f329(f311(x61372),x61374),x61371)),f329(f329(x61375,x61374),f329(x61373,x61371))) % 166.45/166.24 [6912]~E(x69121,x69122)+~E(f329(f329(f106(f913(x69123,a900)),x69124),x69125),f191(f913(x69123,a900)))+~P1(f329(f329(f331(x69123),x69122),x69125))+~P1(f329(f329(f331(x69123),x69121),x69124)) % 166.45/166.24 [6990]~P17(x69902,x69905,x69901)+~P1(f329(f63(x69902),x69904))+E(f329(x69901,f329(f329(f311(x69902),x69903),x69904)),f329(f329(f66(x69902,x69902,x69905),x69903),x69904))+P1(f329(f329(f331(x69902),x69903),x69904)) % 166.45/166.24 [7058]~P74(x70582)+~P1(f329(f63(x70581),x70585))+E(f329(f329(f6(x70581,x70582),x70583),f329(f329(f311(x70581),x70584),x70585)),f329(f329(f82(x70582),f329(x70583,x70584)),f329(f329(f6(x70581,x70582),x70583),x70585)))+P1(f329(f329(f331(x70581),x70584),x70585)) % 166.45/166.24 [7060]~P80(x70602)+~P1(f329(f63(x70601),x70605))+E(f329(f329(f9(x70601,x70602),x70603),f329(f329(f311(x70601),x70604),x70605)),f329(f329(f83(x70602),f329(x70603,x70604)),f329(f329(f9(x70601,x70602),x70603),x70605)))+P1(f329(f329(f331(x70601),x70604),x70605)) % 166.45/166.24 [7570]~P17(x75702,x75705,x75701)+~P1(f329(f63(x75702),x75704))+E(f329(x75701,f329(f329(f311(x75702),x75703),x75704)),x75703)+~E(f329(f329(f23(f913(x75702,a900)),x75704),f329(f329(f311(x75702),x75703),f191(f913(x75702,a900)))),f191(f913(x75702,a900))) % 166.45/166.24 [7881]~P1(f329(x78811,x78813))+~P1(f329(f329(f197(x78812),x78813),x78815))+~P1(f329(f329(f197(f31(x78811,x78812)),x78815),x78814))+P1(f329(f329(f197(f31(x78811,x78812)),x78813),x78814)) % 166.45/166.24 [7936]~P106(x79361)+~P1(f329(f329(f239(x79361),x79363),x79365))+~P1(f329(f329(f239(x79361),x79362),x79364))+P1(f329(f329(f239(x79361),f329(f329(f115(x79361),x79362),x79363)),f329(f329(f115(x79361),x79364),x79365))) % 166.45/166.24 [7937]~P107(x79371)+~P1(f329(f329(f239(x79371),x79373),x79375))+~P1(f329(f329(f239(x79371),x79372),x79374))+P1(f329(f329(f239(x79371),f329(f329(f106(x79371),x79372),x79373)),f329(f329(f106(x79371),x79374),x79375))) % 166.45/166.24 [7938]~P88(x79381)+~P1(f329(f329(f239(x79381),x79383),x79385))+~P1(f329(f329(f239(x79381),x79382),x79384))+P1(f329(f329(f239(x79381),f329(f329(f82(x79381),x79382),x79383)),f329(f329(f82(x79381),x79384),x79385))) % 166.45/166.24 [7939]~P105(x79391)+~P1(f329(f329(f239(x79391),x79393),x79395))+~P1(f329(f329(f239(x79391),x79392),x79394))+P1(f329(f329(f239(x79391),f329(f329(f237(x79391),x79392),x79393)),f329(f329(f237(x79391),x79394),x79395))) % 166.45/166.24 [7940]~P105(x79401)+~P1(f329(f329(f239(x79401),x79403),x79405))+~P1(f329(f329(f239(x79401),x79402),x79404))+P1(f329(f329(f239(x79401),f329(f329(f238(x79401),x79402),x79403)),f329(f329(f238(x79401),x79404),x79405))) % 166.45/166.24 [7941]~P91(x79411)+~P1(f329(f329(f239(x79411),x79413),x79415))+~P1(f329(f329(f240(x79411),x79412),x79414))+P1(f329(f329(f240(x79411),f329(f329(f82(x79411),x79412),x79413)),f329(f329(f82(x79411),x79414),x79415))) % 166.45/166.24 [7942]~P91(x79421)+~P1(f329(f329(f239(x79421),x79422),x79424))+~P1(f329(f329(f240(x79421),x79423),x79425))+P1(f329(f329(f240(x79421),f329(f329(f82(x79421),x79422),x79423)),f329(f329(f82(x79421),x79424),x79425))) % 166.45/166.24 [7943]~P91(x79431)+~P1(f329(f329(f240(x79431),x79433),x79435))+~P1(f329(f329(f240(x79431),x79432),x79434))+P1(f329(f329(f240(x79431),f329(f329(f82(x79431),x79432),x79433)),f329(f329(f82(x79431),x79434),x79435))) % 166.45/166.24 [8081]~P148(x80815)+E(x80811,x80812)+E(x80813,x80814)+~E(f329(f329(f82(x80815),f329(f329(f83(x80815),x80813),x80811)),f329(f329(f83(x80815),x80814),x80812)),f329(f329(f82(x80815),f329(f329(f83(x80815),x80813),x80812)),f329(f329(f83(x80815),x80814),x80811))) % 166.45/166.24 [8229]P27(x82291,x82292,x82293)+~P28(x82291,x82294,x82295)+~P27(x82291,x82292,f580(x82295,x82294,x82291,x82292))+~P1(f329(f329(f331(f904(x82291)),x82293),x82295)) % 166.45/166.24 [8293]~P105(x82934)+~P1(f329(f140(x82931),x82933))+P1(f329(f329(f331(x82931),x82932),f329(f175(x82931),x82933)))+P1(f329(f140(x82931),f329(f329(f151(x82931,x82934,x82935),x82932),x82933))) % 166.45/166.24 [8442]~P68(x84421)+E(f329(f329(f23(x84421),f329(f329(f6(a905,x84421),x84422),f329(f304(a905,x84423),x84424))),f329(f329(f6(a905,x84421),x84422),f329(f304(a905,x84423),x84425))),f329(f329(f6(a905,x84421),x84422),f329(f304(a905,x84425),x84424)))+~P1(f329(f329(f239(a905),x84425),x84424))+~P1(f329(f329(f239(a905),x84423),x84425)) % 166.45/166.24 [8443]~P74(x84431)+E(f329(f329(f82(x84431),f329(f329(f6(a905,x84431),x84432),f329(f304(a905,x84433),x84434))),f329(f329(f6(a905,x84431),x84432),f329(f304(a905,x84434),x84435))),f329(f329(f6(a905,x84431),x84432),f329(f304(a905,x84433),x84435)))+~P1(f329(f329(f239(a905),x84434),x84435))+~P1(f329(f329(f239(a905),x84433),x84434)) % 166.45/166.24 [8778]~P71(x87782)+E(x87781,f2(x87782))+E(x87783,f2(x87782))+E(f329(f329(f292(x87782),f329(f329(f23(x87782),f329(f329(f83(x87782),x87784),x87781)),f329(f329(f83(x87782),x87785),x87783))),f329(f329(f83(x87782),x87783),x87781)),f329(f329(f23(x87782),f329(f329(f292(x87782),x87784),x87783)),f329(f329(f292(x87782),x87785),x87781))) % 166.45/166.24 [8779]~P71(x87792)+E(x87791,f2(x87792))+E(x87793,f2(x87792))+E(f329(f329(f292(x87792),f329(f329(f82(x87792),f329(f329(f83(x87792),x87794),x87791)),f329(f329(f83(x87792),x87795),x87793))),f329(f329(f83(x87792),x87793),x87791)),f329(f329(f82(x87792),f329(f329(f292(x87792),x87794),x87793)),f329(f329(f292(x87792),x87795),x87791))) % 166.45/166.24 [8787]~E(x87872,f329(x87873,x87871))+E(x87871,f421(x87872,x87873,x87874,x87875))+~P24(x87875,x87874,x87873,f247(f913(x87875,a900)))+~P1(f329(f329(f331(x87874),x87872),f329(f312(x87875,x87874,x87873),f247(f913(x87875,a900))))) % 166.45/166.24 [8990]~P117(x89901)+~P1(f329(f329(f240(x89901),f329(f77(x89901),x89902)),x89904))+P1(f329(f329(f240(x89901),f329(f329(f83(x89901),f329(f77(x89901),x89902)),f329(f77(x89901),x89903))),f329(f329(f83(x89901),x89904),x89905)))+~P1(f329(f329(f240(x89901),f329(f77(x89901),x89903)),x89905)) % 166.45/166.24 [9008]~P28(x90081,x90085,x90084)+P27(x90081,x90082,x90083)+P1(f329(f329(f331(f904(x90081)),f580(x90084,x90085,x90081,x90082)),x90085))+~P1(f329(f329(f331(f904(x90081)),x90083),x90084)) % 166.45/166.24 [9107]~P24(x91071,x91073,x91075,x91072)+~P1(f329(f63(x91073),x91074))+P1(f329(f329(f239(a905),f329(f37(x91071),x91072)),f329(f37(x91073),x91074)))+~P1(f329(f329(f239(f913(x91073,a900)),f329(f312(x91071,x91073,x91075),x91072)),x91074)) % 166.45/166.24 [9177]~P74(x91772)+~P24(x91771,x91771,x91774,x91775)+~P1(f329(f63(x91771),x91775))+E(f329(f329(f6(x91771,x91772),f329(f74(x91771,x91772,x91771,x91773),x91774)),x91775),f329(f329(f6(x91771,x91772),x91773),f329(f312(x91771,x91771,x91774),x91775))) % 166.45/166.24 [9178]~P80(x91782)+~P24(x91781,x91781,x91784,x91785)+~P1(f329(f63(x91781),x91785))+E(f329(f329(f9(x91781,x91782),f329(f74(x91781,x91782,x91781,x91783),x91784)),x91785),f329(f329(f9(x91781,x91782),x91783),f329(f312(x91781,x91781,x91784),x91785))) % 166.45/166.24 [9304]~P37(x93041,x93042)+~P1(f329(f329(f331(x93041),x93043),x93044))+~P1(f329(f329(f331(x93041),x93045),x93044))+~P1(f329(f329(f331(f912(x93041,x93041)),f329(f329(f257(x93041,x93041),x93045),f649(x93042,x93041,x93044))),x93042)) % 166.45/166.24 [9339]~P24(x93392,x93393,x93395,x93391)+E(x93391,f191(f913(x93392,a900)))+E(f329(f312(x93393,x93392,f724(x93394,x93393,x93392,x93391)),x93394),x93391)+~P1(f329(f329(f239(f913(x93393,a900)),f329(f312(x93392,x93393,x93395),x93391)),x93394)) % 166.45/166.24 [9821]~P105(x98215)+~P4(x98215)+P1(f329(f329(f331(x98211),f430(x98212,x98213,x98211,x98214,x98215)),x98213))+~P1(f329(f329(f240(x98215),x98214),f329(f329(f41(x98211,x98215),x98213),x98212))) % 166.45/166.24 [9826]~P105(x98261)+~P4(x98261)+P1(f329(f329(f240(x98261),x98262),f329(x98263,f430(x98263,x98264,x98265,x98262,x98261))))+~P1(f329(f329(f240(x98261),x98262),f329(f329(f41(x98265,x98261),x98264),x98263))) % 166.45/166.24 [9844]~P74(x98445)+~P88(x98445)+P1(f329(f329(f331(x98441),f757(x98442,x98443,x98444,x98441,x98445)),x98444))+P1(f329(f329(f239(x98445),f329(f329(f6(x98441,x98445),x98443),x98444)),f329(f329(f6(x98441,x98445),x98442),x98444))) % 166.45/166.24 [9905]~P78(x99051)+~P1(f329(f68(x99051,x99051,f83(x99051),x99052,x99053),x99055))+P1(f329(f329(f331(x99051),x99052),x99053))+P1(f329(f68(x99051,x99051,f83(x99051),x99054,f329(f329(f311(x99051),x99052),x99053)),f329(f329(f83(x99051),x99054),x99055))) % 166.45/166.24 [10106]~P74(x101062)+~P1(f329(f63(x101061),x101065))+E(f329(f329(f6(x101061,x101062),f329(f329(f7(x101061,x101062,x101062),f329(f329(f18(x101061,x101062,f913(x101062,x101062)),f329(f329(f8(a900,f913(x101062,f913(x101062,x101062)),x101061),f99(x101062)),f329(a326,x101063))),x101064)),f2(x101062))),x101065),f2(x101062))+P1(f329(f329(f331(x101061),x101063),x101065)) % 166.45/166.24 [10107]~P80(x101072)+~P1(f329(f63(x101071),x101075))+E(f329(f329(f9(x101071,x101072),f329(f329(f7(x101071,x101072,x101072),f329(f329(f18(x101071,x101072,f913(x101072,x101072)),f329(f329(f8(a900,f913(x101072,f913(x101072,x101072)),x101071),f99(x101072)),f329(a326,x101073))),x101074)),f80(x101072))),x101075),f80(x101072))+P1(f329(f329(f331(x101071),x101073),x101075)) % 166.45/166.24 [10108]~P74(x101082)+~P1(f329(f63(x101081),x101085))+E(f329(f329(f6(x101081,x101082),f329(f329(f7(x101081,x101082,x101082),f329(f329(f18(x101081,x101082,f913(x101082,x101082)),f329(f329(f8(a900,f913(x101082,f913(x101082,x101082)),x101081),f99(x101082)),f329(a326,x101083))),x101084)),f2(x101082))),x101085),f329(x101084,x101083))+~P1(f329(f329(f331(x101081),x101083),x101085)) % 166.45/166.24 [10109]~P80(x101092)+~P1(f329(f63(x101091),x101095))+E(f329(f329(f9(x101091,x101092),f329(f329(f7(x101091,x101092,x101092),f329(f329(f18(x101091,x101092,f913(x101092,x101092)),f329(f329(f8(a900,f913(x101092,f913(x101092,x101092)),x101091),f99(x101092)),f329(a326,x101093))),x101094)),f80(x101092))),x101095),f329(x101094,x101093))+~P1(f329(f329(f331(x101091),x101093),x101095)) % 166.45/166.24 [10121]~P74(x101211)+~P88(x101211)+~P1(f329(f329(f239(x101211),f329(x101213,f757(x101215,x101213,x101214,x101212,x101211))),f329(x101215,f757(x101215,x101213,x101214,x101212,x101211))))+P1(f329(f329(f239(x101211),f329(f329(f6(x101212,x101211),x101213),x101214)),f329(f329(f6(x101212,x101211),x101215),x101214))) % 166.45/166.24 [10163]~P74(x101632)+~P1(f329(f63(x101631),x101635))+E(f329(f329(f6(x101631,x101632),f329(f329(f7(x101631,x101632,x101632),f329(f329(f18(x101631,x101632,f913(x101632,x101632)),f329(f329(f8(a900,f913(x101632,f913(x101632,x101632)),x101631),f99(x101632)),f329(f329(f7(x101631,x101631,a900),a326),x101633))),x101634)),f2(x101632))),x101635),f2(x101632))+P1(f329(f329(f331(x101631),x101633),x101635)) % 166.45/166.24 [10164]~P80(x101642)+~P1(f329(f63(x101641),x101645))+E(f329(f329(f9(x101641,x101642),f329(f329(f7(x101641,x101642,x101642),f329(f329(f18(x101641,x101642,f913(x101642,x101642)),f329(f329(f8(a900,f913(x101642,f913(x101642,x101642)),x101641),f99(x101642)),f329(f329(f7(x101641,x101641,a900),a326),x101643))),x101644)),f80(x101642))),x101645),f80(x101642))+P1(f329(f329(f331(x101641),x101643),x101645)) % 166.45/166.24 [10166]~P74(x101662)+~P1(f329(f63(x101661),x101665))+E(f329(f329(f6(x101661,x101662),f329(f329(f7(x101661,x101662,x101662),f329(f329(f18(x101661,x101662,f913(x101662,x101662)),f329(f329(f8(a900,f913(x101662,f913(x101662,x101662)),x101661),f99(x101662)),f329(f329(f7(x101661,x101661,a900),a326),x101663))),x101664)),f2(x101662))),x101665),f329(x101664,x101663))+~P1(f329(f329(f331(x101661),x101663),x101665)) % 166.45/166.24 [10167]~P80(x101672)+~P1(f329(f63(x101671),x101675))+E(f329(f329(f9(x101671,x101672),f329(f329(f7(x101671,x101672,x101672),f329(f329(f18(x101671,x101672,f913(x101672,x101672)),f329(f329(f8(a900,f913(x101672,f913(x101672,x101672)),x101671),f99(x101672)),f329(f329(f7(x101671,x101671,a900),a326),x101673))),x101674)),f80(x101672))),x101675),f329(x101674,x101673))+~P1(f329(f329(f331(x101671),x101673),x101675)) % 166.45/166.24 [7935]~P68(x79352)+~P1(f329(f63(x79351),x79354))+E(f329(f329(f6(x79351,x79352),x79353),f329(f329(f23(f913(x79351,a900)),x79354),f329(f329(f311(x79351),x79355),f191(f913(x79351,a900))))),f329(f329(f6(x79351,x79352),x79353),x79354))+P1(f329(f329(f331(x79351),x79355),x79354)) % 166.45/166.24 [8449]~P116(x84492)+~P1(f329(f63(x84491),x84494))+E(f329(f329(f6(x84491,x84492),x84493),f329(f329(f23(f913(x84491,a900)),x84494),f329(f329(f311(x84491),x84495),f191(f913(x84491,a900))))),f329(f329(f23(x84492),f329(f329(f6(x84491,x84492),x84493),x84494)),f329(x84493,x84495)))+~P1(f329(f329(f331(x84491),x84495),x84494)) % 166.45/166.24 [8450]~P68(x84502)+~P1(f329(f63(x84501),x84504))+E(f329(f329(f6(x84501,x84502),x84503),f329(f329(f23(f913(x84501,a900)),x84504),f329(f329(f311(x84501),x84505),f191(f913(x84501,a900))))),f329(f329(f23(x84502),f329(f329(f6(x84501,x84502),x84503),x84504)),f329(x84503,x84505)))+~P1(f329(f329(f331(x84501),x84505),x84504)) % 166.45/166.24 [8478]~P68(x84781)+~P1(f329(f63(x84782),x84784))+E(f329(f329(f23(x84781),f329(f329(f6(x84782,x84781),x84783),x84784)),f329(f329(f6(x84782,x84781),x84783),x84785)),f329(f329(f6(x84782,x84781),x84783),f329(f329(f23(f913(x84782,a900)),x84784),x84785)))+~P1(f329(f329(f239(f913(x84782,a900)),x84785),x84784)) % 166.45/166.24 [8498]P1(f329(f63(x84981),f329(x84982,x84983)))+~P1(f329(f63(x84984),x84985))+~P1(f329(f329(f331(x84984),x84983),x84985))+~P1(f329(f63(x84981),f329(f329(f41(x84984,f913(x84981,a900)),x84985),x84982))) % 166.45/166.24 [8619]~P106(x86195)+~P106(x86191)+~P40(x86195,x86191,x86192)+P1(f329(f329(f239(x86191),f329(f329(f115(x86191),f329(x86192,x86193)),f329(x86192,x86194))),f329(x86192,f329(f329(f115(x86195),x86193),x86194)))) % 166.45/166.24 [8620]~P105(x86205)+~P106(x86201)+~P40(x86205,x86201,x86202)+P1(f329(f329(f239(x86201),f329(f329(f115(x86201),f329(x86202,x86203)),f329(x86202,x86204))),f329(x86202,f329(f329(f238(x86205),x86203),x86204)))) % 166.45/166.24 [8947]~P7(x89471,x89475,x89474)+~E(f329(f288(x89471,x89471,x89474),f329(f329(f311(x89471),x89472),f191(f913(x89471,a900)))),f329(f288(x89471,x89471,x89474),f329(f329(f311(x89471),x89473),f191(f913(x89471,a900)))))+~P1(f329(f329(f331(x89471),x89473),x89475))+P1(f329(f329(f331(f912(x89471,x89471)),f329(f329(f257(x89471,x89471),x89472),x89473)),x89474)) % 166.45/166.24 [9258]~P1(f329(x92581,x92585))+P1(f329(x92581,f869(x92581,x92582,x92583,x92584)))+P1(f329(x92581,f854(x92581,x92582,x92583,x92584)))+~P1(f329(f329(f331(x92584),x92585),f329(f329(f115(f913(x92584,a900)),x92583),x92582))) % 166.45/166.24 [9442]~P1(f329(x94421,x94425))+P1(f329(x94421,f854(x94421,x94422,x94423,x94424)))+P1(f329(f329(f331(x94424),f869(x94421,x94422,x94423,x94424)),x94422))+~P1(f329(f329(f331(x94424),x94425),f329(f329(f115(f913(x94424,a900)),x94423),x94422))) % 166.45/166.24 [9443]~P1(f329(x94431,x94435))+P1(f329(x94431,f869(x94431,x94432,x94433,x94434)))+P1(f329(f329(f331(x94434),f854(x94431,x94432,x94433,x94434)),x94433))+~P1(f329(f329(f331(x94434),x94435),f329(f329(f115(f913(x94434,a900)),x94433),x94432))) % 166.45/166.24 [9447]P1(f329(x94471,x94472))+~P1(f329(x94471,f786(x94471,x94473,x94474,x94475)))+~P1(f329(x94471,f669(x94471,x94473,x94474,x94475)))+~P1(f329(f329(f331(x94475),x94472),f329(f329(f115(f913(x94475,a900)),x94474),x94473))) % 166.45/166.24 [9452]~P38(x94521,x94524)+~P1(f329(f329(f331(f912(x94521,x94521)),f329(f329(f257(x94521,x94521),x94522),x94525)),x94524))+P1(f329(f329(f331(f912(x94521,x94521)),f329(f329(f257(x94521,x94521),x94522),x94523)),x94524))+~P1(f329(f329(f331(f912(x94521,x94521)),f329(f329(f257(x94521,x94521),x94525),x94523)),x94524)) % 166.45/166.24 [9490]E(x94901,x94902)+~P1(f329(f329(f331(f912(x94903,x94903)),f329(f329(f257(x94903,x94903),x94901),x94902)),f309(x94903,x94905)))+P1(f329(f329(f331(x94903),x94901),x94904))+~P1(f329(f329(f239(f913(f912(x94903,x94903),a900)),x94905),f329(f329(f259(x94903,x94903),x94904),f329(f16(f913(x94903,a900),x94903),x94904)))) % 166.45/166.24 [9508]P1(f329(x95081,x95082))+~P1(f329(x95081,f669(x95081,x95084,x95085,x95083)))+P1(f329(f329(f331(x95083),f786(x95081,x95084,x95085,x95083)),x95084))+~P1(f329(f329(f331(x95083),x95082),f329(f329(f115(f913(x95083,a900)),x95085),x95084))) % 166.45/166.24 [9509]P1(f329(x95091,x95092))+~P1(f329(x95091,f786(x95091,x95094,x95095,x95093)))+P1(f329(f329(f331(x95093),f669(x95091,x95094,x95095,x95093)),x95095))+~P1(f329(f329(f331(x95093),x95092),f329(f329(f115(f913(x95093,a900)),x95095),x95094))) % 166.45/166.24 [9575]P1(f329(x95751,x95752))+P1(f329(f329(f331(x95753),f786(x95751,x95754,x95755,x95753)),x95754))+P1(f329(f329(f331(x95753),f669(x95751,x95754,x95755,x95753)),x95755))+~P1(f329(f329(f331(x95753),x95752),f329(f329(f115(f913(x95753,a900)),x95755),x95754))) % 166.45/166.24 [9577]~P1(f329(x95772,x95775))+P1(f329(f329(f331(x95771),f869(x95772,x95773,x95774,x95771)),x95773))+P1(f329(f329(f331(x95771),f854(x95772,x95773,x95774,x95771)),x95774))+~P1(f329(f329(f331(x95771),x95775),f329(f329(f115(f913(x95771,a900)),x95774),x95773))) % 166.45/166.24 [9727]~P7(x97271,x97275,x97274)+~P1(f329(f329(f331(x97271),x97273),x97275))+P1(f329(f329(f331(f912(x97271,x97271)),f329(f329(f257(x97271,x97271),x97272),x97273)),x97274))+~P1(f329(f329(f239(f913(x97271,a900)),f329(f288(x97271,x97271,x97274),f329(f329(f311(x97271),x97273),f191(f913(x97271,a900))))),f329(f288(x97271,x97271,x97274),f329(f329(f311(x97271),x97272),f191(f913(x97271,a900)))))) % 166.45/166.24 [9855]~P105(x98555)+~P4(x98555)+P1(f329(f329(f331(x98551),f635(x98552,x98553,x98554,x98551,x98555)),x98554))+~P1(f329(f329(f240(x98555),f329(f329(f42(x98551,x98555),x98554),x98553)),x98552)) % 166.45/166.24 [9888]~P88(x98885)+~P84(x98885)+P1(f329(f329(f331(x98881),f719(x98882,x98883,x98884,x98881,x98885)),f329(f175(x98881),x98884)))+P1(f329(f329(f239(x98885),f329(f168(x98885),f329(f329(f157(x98881,x98885),x98883),x98884))),f329(f168(x98885),f329(f329(f157(x98881,x98885),x98882),x98884)))) % 166.45/166.24 [9995]~P105(x99951)+~P4(x99951)+P1(f329(f329(f240(x99951),f329(x99952,f635(x99953,x99952,x99954,x99955,x99951))),x99953))+~P1(f329(f329(f240(x99951),f329(f329(f42(x99955,x99951),x99954),x99952)),x99953)) % 166.45/166.24 [10125]~P88(x101251)+~P84(x101251)+~P1(f329(f329(f239(x101251),f329(x101253,f719(x101255,x101253,x101254,x101252,x101251))),f329(x101255,f719(x101255,x101253,x101254,x101252,x101251))))+P1(f329(f329(f239(x101251),f329(f168(x101251),f329(f329(f157(x101252,x101251),x101253),x101254))),f329(f168(x101251),f329(f329(f157(x101252,x101251),x101255),x101254)))) % 166.45/166.24 [8795]~P74(x87951)+~P1(f329(f63(x87954),x87955))+~P1(f329(f329(f331(x87954),x87953),x87955))+E(f329(f329(f82(x87951),f329(x87952,x87953)),f329(f329(f6(x87954,x87951),x87952),f329(f329(f23(f913(x87954,a900)),x87955),f329(f329(f311(x87954),x87953),f191(f913(x87954,a900)))))),f329(f329(f6(x87954,x87951),x87952),x87955)) % 166.45/166.24 [8796]~P80(x87961)+~P1(f329(f63(x87964),x87965))+~P1(f329(f329(f331(x87964),x87963),x87965))+E(f329(f329(f83(x87961),f329(x87962,x87963)),f329(f329(f9(x87964,x87961),x87962),f329(f329(f23(f913(x87964,a900)),x87965),f329(f329(f311(x87964),x87963),f191(f913(x87964,a900)))))),f329(f329(f9(x87964,x87961),x87962),x87965)) % 166.45/166.24 [8852]~P17(x88521,x88524,x88525)+~P1(f329(f63(x88521),x88522))+E(f329(f329(f23(f913(x88521,a900)),x88522),f329(f329(f311(x88521),x88523),f191(f913(x88521,a900)))),f191(f913(x88521,a900)))+E(f329(f329(x88524,x88523),f329(x88525,f329(f329(f23(f913(x88521,a900)),x88522),f329(f329(f311(x88521),x88523),f191(f913(x88521,a900)))))),f329(x88525,f329(f329(f311(x88521),x88523),x88522))) % 166.45/166.24 [9231]~P74(x92311)+~P1(f329(f63(x92312),x92315))+~P1(f329(f63(x92312),x92314))+E(f329(f329(f82(x92311),f329(f329(f6(x92312,x92311),x92313),f329(f329(f115(f913(x92312,a900)),x92314),x92315))),f329(f329(f6(x92312,x92311),x92313),f329(f329(f106(f913(x92312,a900)),x92314),x92315))),f329(f329(f82(x92311),f329(f329(f6(x92312,x92311),x92313),x92314)),f329(f329(f6(x92312,x92311),x92313),x92315))) % 166.45/166.24 [9233]~P80(x92331)+~P1(f329(f63(x92332),x92335))+~P1(f329(f63(x92332),x92334))+E(f329(f329(f83(x92331),f329(f329(f9(x92332,x92331),x92333),f329(f329(f115(f913(x92332,a900)),x92334),x92335))),f329(f329(f9(x92332,x92331),x92333),f329(f329(f106(f913(x92332,a900)),x92334),x92335))),f329(f329(f83(x92331),f329(f329(f9(x92332,x92331),x92333),x92334)),f329(f329(f9(x92332,x92331),x92333),x92335))) % 166.45/166.24 [9376]~P68(x93761)+~P1(f329(f63(x93762),x93765))+~P1(f329(f63(x93762),x93764))+E(f329(f329(f23(x93761),f329(f329(f82(x93761),f329(f329(f6(x93762,x93761),x93763),x93764)),f329(f329(f6(x93762,x93761),x93763),x93765))),f329(f329(f6(x93762,x93761),x93763),f329(f329(f106(f913(x93762,a900)),x93764),x93765))),f329(f329(f6(x93762,x93761),x93763),f329(f329(f115(f913(x93762,a900)),x93764),x93765))) % 166.45/166.24 [9588]~P24(x95881,x95882,x95883,x95885)+~P24(x95881,x95882,x95883,x95884)+P24(x95881,x95882,x95883,f329(f329(f115(f913(x95881,a900)),x95884),x95885))+~E(f329(f329(f106(f913(x95882,a900)),f329(f312(x95881,x95882,x95883),f329(f329(f23(f913(x95881,a900)),x95884),x95885))),f329(f312(x95881,x95882,x95883),f329(f329(f23(f913(x95881,a900)),x95885),x95884))),f191(f913(x95882,a900))) % 166.45/166.24 [9701]E(x97011,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),x97013))+~P1(f329(f51(x97012,x97011),f329(f329(f257(a1,a1),x97014),x97015)))+P1(f329(f51(x97012,f329(f329(f83(a1),x97011),x97013)),f329(f329(f257(a1,a1),f329(f329(f38(a1),x97014),x97013)),f329(f329(f82(a1),f329(f329(f83(a1),x97011),f47(a1,x97014,x97013))),x97015)))) % 166.45/166.24 [9709]~P1(f329(f329(f240(a905),f2(a905)),x97093))+~P1(f329(f329(f240(a905),f2(a905)),x97092))+~P1(f329(f50(x97091,x97092),f329(f329(f257(a905,a905),x97094),x97095)))+P1(f329(f50(x97091,f329(f329(f83(a905),x97092),x97093)),f329(f329(f257(a905,a905),f329(f329(f38(a905),x97094),x97093)),f329(f329(f82(a905),f329(f329(f83(a905),x97092),f47(a905,x97094,x97093))),x97095)))) % 166.45/166.24 [9760]~P80(x97601)+~P1(f329(f63(x97602),x97605))+~P1(f329(f63(x97602),x97604))+E(f329(f329(f83(x97601),f329(f329(f329(f67(x97601,x97602,f83(x97601)),x97603),f80(x97601)),f329(f329(f115(f913(x97602,a900)),x97604),x97605))),f329(f329(f329(f67(x97601,x97602,f83(x97601)),x97603),f80(x97601)),f329(f329(f106(f913(x97602,a900)),x97604),x97605))),f329(f329(f83(x97601),f329(f329(f329(f67(x97601,x97602,f83(x97601)),x97603),f80(x97601)),x97604)),f329(f329(f329(f67(x97601,x97602,f83(x97601)),x97603),f80(x97601)),x97605))) % 166.45/166.24 [9762]~E(f329(f329(f178(x97621),x97625),x97622),f329(f329(f178(x97621),x97625),x97623))+P1(f329(f329(f331(f912(f906(x97621),f906(x97621))),f329(f329(f257(f906(x97621),f906(x97621)),x97622),x97623)),f150(x97621,x97624)))+~P1(f329(f329(f240(a905),x97625),f329(f329(f237(a905),f329(f192(f906(x97621)),x97622)),f329(f192(f906(x97621)),x97623))))+~P1(f329(f329(f331(f912(x97621,x97621)),f329(f329(f257(x97621,x97621),f329(f329(f167(x97621),x97622),x97625)),f329(f329(f167(x97621),x97623),x97625))),x97624)) % 166.45/166.24 [9877]~P88(x98775)+~P147(x98775)+P1(f329(f329(f331(x98771),f348(x98772,x98773,x98774,x98771,x98775)),x98774))+P1(f329(f329(f239(x98775),f329(f329(f6(x98771,x98775),x98773),x98774)),f329(f329(f83(x98775),f329(f105(x98775),f329(f37(x98771),x98774))),x98772))) % 166.45/166.24 [10053]~P88(x100531)+~P147(x100531)+~P1(f329(f329(f239(x100531),f329(x100533,f348(x100535,x100533,x100534,x100532,x100531))),x100535))+P1(f329(f329(f239(x100531),f329(f329(f6(x100532,x100531),x100533),x100534)),f329(f329(f83(x100531),f329(f105(x100531),f329(f37(x100532),x100534))),x100535))) % 166.45/166.24 [8824]E(f329(f329(f137(x88241),x88242),x88243),f329(f329(f137(x88241),x88244),x88245))+~E(f329(f329(f178(x88241),f329(f192(f906(x88241)),x88242)),x88244),x88242)+~E(f329(f329(f137(x88241),f329(f329(f141(x88241),f329(f192(f906(x88241)),x88242)),x88244)),x88245),x88243)+P1(f329(f329(f239(a905),f329(f192(f906(x88241)),x88244)),f329(f192(f906(x88241)),x88242))) % 166.45/166.24 [8946]E(f329(f329(f137(x89461),x89462),x89463),f329(f329(f137(x89461),x89464),x89465))+~E(f329(f329(f178(x89461),f329(f192(f906(x89461)),x89462)),x89464),x89462)+~E(x89463,f329(f329(f137(x89461),f329(f329(f141(x89461),f329(f192(f906(x89461)),x89462)),x89464)),x89465))+~P1(f329(f329(f239(a905),f329(f192(f906(x89461)),x89462)),f329(f192(f906(x89461)),x89464))) % 166.45/166.24 [10186]~P1(f329(x101865,x101864))+~P1(f329(f63(x101862),f329(f267(x101862),x101865)))+P1(f329(f63(x101861),f329(f267(x101861),f329(f329(f7(x101861,x101862,a900),x101863),x101864))))+~P1(f329(f63(x101861),f329(f267(x101861),f329(f329(f8(f913(x101862,a900),a900,x101861),f89(x101862)),f329(f329(f8(f913(x101862,a900),f913(x101862,a900),x101861),f329(f18(x101862,a900,a900),f329(f329(f8(a900,f913(a900,a900),x101862),a327),x101865))),x101863))))) % 166.45/166.24 [10257]~P1(f329(f63(x102572),x102575))+~P1(f329(f329(f331(x102572),x102574),x102575))+P1(f329(f63(x102571),f329(f267(x102571),f329(f329(f7(x102571,x102572,a900),x102573),x102574))))+~P1(f329(f63(x102571),f329(f267(x102571),f329(f329(f8(f913(x102572,a900),a900,x102571),f89(x102572)),f329(f329(f8(f913(x102572,a900),f913(x102572,a900),x102571),f329(f18(x102572,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102572),a327),f329(f329(f7(x102572,f913(x102572,a900),a900),f331(x102572)),x102575)))),x102573))))) % 166.45/166.24 [8085]~P42(x80852,x80853,x80854,x80856)+~P42(f31(x80851,x80852),x80856,x80854,x80855)+P42(f31(x80851,x80852),x80853,x80854,x80855)+~P1(f329(x80851,x80853)) % 166.45/166.24 [8617]~P18(x86175,x86171,x86176,x86172)+E(f329(f74(x86171,x86171,x86171,f329(x86172,x86173)),f329(x86172,x86174)),f329(f74(x86171,x86171,x86171,f329(x86172,x86174)),f329(x86172,x86173)))+~P1(f329(f63(x86175),x86174))+~P1(f329(f63(x86175),x86173)) % 166.45/166.24 [7991]~P24(x79911,x79912,x79914,x79913)+~E(f329(x79914,x79916),x79915)+E(f329(f79(x79911,x79912,x79913,x79914),x79915),x79916)+~P1(f329(f329(f331(x79911),x79916),x79913)) % 166.45/166.24 [7992]~P24(x79921,x79922,x79924,x79923)+~E(f329(x79924,x79926),x79925)+E(f329(f94(x79921,x79922,x79923,x79924),x79925),x79926)+~P1(f329(f329(f331(x79921),x79926),x79923)) % 166.45/166.24 [8196]~P19(x81966,x81961,x81964,x81962)+E(f329(f74(x81961,x81961,x81961,f329(x81962,x81963)),f329(x81964,x81965)),f329(x81962,x81963))+~P1(f329(f63(x81966),x81963))+~P1(f329(f329(f331(x81966),x81965),x81963)) % 166.45/166.24 [9331]E(x93311,x93312)+~E(f329(f94(x93313,x93314,x93315,x93316),x93311),f329(f94(x93313,x93314,x93315,x93316),x93312))+~P1(f329(f329(f331(x93314),x93312),f329(f312(x93313,x93314,x93316),x93315)))+~P1(f329(f329(f331(x93314),x93311),f329(f312(x93313,x93314,x93316),x93315))) % 166.45/166.24 [9425]~P18(x94253,x94251,x94256,x94252)+E(f329(f74(x94251,x94251,x94251,f329(x94252,f329(f329(f23(f913(x94253,a900)),x94254),f329(f329(f311(x94253),x94255),f191(f913(x94253,a900)))))),f329(x94256,x94255)),f329(x94252,x94254))+~P1(f329(f63(x94253),x94254))+~P1(f329(f329(f331(x94253),x94255),x94254)) % 166.45/166.24 [7063]~P64(x70631)+~E(f47(x70631,x70633,x70634),f47(x70631,x70636,x70634))+~E(f47(x70631,x70632,x70634),f47(x70631,x70635,x70634))+E(f47(x70631,f329(f329(f23(x70631),x70632),x70633),x70634),f47(x70631,f329(f329(f23(x70631),x70635),x70636),x70634)) % 166.45/166.24 [7064]~P63(x70641)+~E(f47(x70641,x70643,x70644),f47(x70641,x70646,x70644))+~E(f47(x70641,x70642,x70644),f47(x70641,x70645,x70644))+E(f47(x70641,f329(f329(f82(x70641),x70642),x70643),x70644),f47(x70641,f329(f329(f82(x70641),x70645),x70646),x70644)) % 166.45/166.24 [7065]~P63(x70651)+~E(f47(x70651,x70653,x70654),f47(x70651,x70656,x70654))+~E(f47(x70651,x70652,x70654),f47(x70651,x70655,x70654))+E(f47(x70651,f329(f329(f83(x70651),x70652),x70653),x70654),f47(x70651,f329(f329(f83(x70651),x70655),x70656),x70654)) % 166.45/166.24 [7882]~P15(x78821,x78822,x78823)+~P1(f329(f63(x78821),x78826))+E(f329(f329(f66(x78821,x78822,x78823),x78824),f329(f329(f311(x78821),x78825),x78826)),f329(f329(f66(x78821,x78822,x78823),f329(f329(x78823,x78825),x78824)),x78826))+P1(f329(f329(f331(x78821),x78825),x78826)) % 166.45/166.24 [7950]~P4(x79501)+P1(f329(f329(f239(x79501),x79502),f329(x79503,x79504)))+~P1(f329(f329(f331(x79505),x79504),x79506))+~P1(f329(f329(f239(x79501),x79502),f329(f329(f42(x79505,x79501),x79506),x79503))) % 166.45/166.24 [8113]~P15(x81131,x81132,x81133)+~P1(f329(f63(x81131),x81136))+E(f329(f329(f66(x81131,x81132,x81133),x81134),f329(f329(f311(x81131),x81135),x81136)),f329(f329(x81133,x81135),f329(f329(f66(x81131,x81132,x81133),x81134),x81136)))+P1(f329(f329(f331(x81131),x81135),x81136)) % 166.45/166.24 [8214]~P105(x82143)+~P1(f329(x82142,x82145))+~P12(x82143,f329(f329(f157(x82141,x82143),x82144),x82146))+E(f329(f139(x82141,x82142),f329(f329(f151(x82141,x82143,x82144),x82145),x82146)),f329(f329(f151(x82141,x82143,x82144),x82145),f329(f139(x82141,x82142),x82146))) % 166.45/166.24 [8237]E(x82371,x82372)+E(x82373,f2(a1))+~P1(f329(f51(x82374,x82373),f329(f329(f257(a1,a1),x82375),x82372)))+~P1(f329(f51(x82374,x82373),f329(f329(f257(a1,a1),x82376),x82371))) % 166.45/166.24 [8238]E(x82381,x82382)+E(x82383,f2(a1))+~P1(f329(f51(x82384,x82383),f329(f329(f257(a1,a1),x82382),x82385)))+~P1(f329(f51(x82384,x82383),f329(f329(f257(a1,a1),x82381),x82386))) % 166.45/166.24 [8257]~P18(x82572,x82575,x82576,x82571)+~P1(f329(f63(x82572),x82574))+E(f329(x82571,f329(f329(f311(x82572),x82573),x82574)),f329(f74(x82575,x82575,x82575,f329(x82571,x82574)),f329(x82576,x82573)))+P1(f329(f329(f331(x82572),x82573),x82574)) % 166.45/166.24 [8481]~P19(x84815,x84811,x84816,x84812)+E(f329(f74(x84811,x84811,x84811,f329(x84812,x84813)),f329(x84812,x84814)),f329(x84812,x84813))+~P1(f329(f63(x84815),x84813))+~P1(f329(f329(f239(f913(x84815,a900)),x84814),x84813)) % 166.45/166.24 [9632]~P24(x96321,x96322,x96324,x96323)+~P1(f329(f329(f331(x96322),x96325),f329(f312(x96321,x96322,x96324),x96323)))+P1(f329(f329(f331(x96321),f329(f79(x96321,x96322,x96323,x96324),x96325)),x96326))+~P1(f329(f329(f239(f913(x96321,a900)),x96323),x96326)) % 166.45/166.24 [10006]~P74(x100062)+~E(f583(x100061,x100063,x100065,x100066,x100064,x100062),f584(x100061,x100063,x100065,x100066,x100064,x100062))+~P1(f329(f63(x100064),x100066))+E(f329(f329(f6(x100061,x100062),x100063),f329(f312(x100064,x100061,x100065),x100066)),f329(f329(f6(x100064,x100062),f329(f74(x100061,x100062,x100064,x100063),x100065)),x100066)) % 166.45/166.24 [10035]~P74(x100356)+E(f329(x100351,f583(x100352,x100353,x100351,x100354,x100355,x100356)),f329(x100351,f584(x100352,x100353,x100351,x100354,x100355,x100356)))+E(f329(f329(f6(x100352,x100356),x100353),f329(f312(x100355,x100352,x100351),x100354)),f329(f329(f6(x100355,x100356),f329(f74(x100352,x100356,x100355,x100353),x100351)),x100354))+~P1(f329(f63(x100355),x100354)) % 166.45/166.24 [10074]~P74(x100742)+~E(f329(x100743,f329(x100745,f584(x100741,x100743,x100745,x100746,x100744,x100742))),f2(x100742))+~P1(f329(f63(x100744),x100746))+E(f329(f329(f6(x100741,x100742),x100743),f329(f312(x100744,x100741,x100745),x100746)),f329(f329(f6(x100744,x100742),f329(f74(x100741,x100742,x100744,x100743),x100745)),x100746)) % 166.45/166.24 [10133]~P74(x101332)+~P1(f329(f63(x101334),x101336))+E(f329(f329(f6(x101331,x101332),x101333),f329(f312(x101334,x101331,x101335),x101336)),f329(f329(f6(x101334,x101332),f329(f74(x101331,x101332,x101334,x101333),x101335)),x101336))+P1(f329(f329(f331(x101334),f584(x101331,x101333,x101335,x101336,x101334,x101332)),x101336)) % 166.45/166.24 [10134]~P74(x101342)+~P1(f329(f63(x101344),x101346))+E(f329(f329(f6(x101341,x101342),x101343),f329(f312(x101344,x101341,x101345),x101346)),f329(f329(f6(x101344,x101342),f329(f74(x101341,x101342,x101344,x101343),x101345)),x101346))+P1(f329(f329(f331(x101344),f583(x101341,x101343,x101345,x101346,x101344,x101342)),x101346)) % 166.45/166.24 [10211]~P40(f913(f912(x102114,x102115),a900),f913(f912(x102114,x102115),a900),x102116)+~P1(f329(f329(x102111,f515(x102111,x102116,x102113,x102112,x102115,x102114)),f521(x102111,x102116,x102113,x102112,x102115,x102114)))+P1(f329(f329(x102111,x102112),x102113))+~P1(f329(f329(f331(f912(x102114,x102115)),f329(f329(f257(x102114,x102115),x102112),x102113)),f100(f913(f912(x102114,x102115),a900),x102116))) % 166.45/166.24 [10256]~P80(x102561)+~P1(f329(f63(x102562),x102566))+E(f329(f329(f329(f67(x102561,x102562,f83(x102561)),f329(f329(f18(x102562,f913(x102563,a900),x102561),f329(f329(f7(x102562,x102561,f913(f913(x102563,a900),x102561)),f329(f329(f8(f913(x102563,x102561),f913(x102561,f913(f913(x102563,a900),x102561)),x102562),f67(x102561,x102563,f83(x102561))),x102564)),f80(x102561))),x102565)),f80(x102561)),x102566),f329(f329(f329(f67(x102561,f912(x102562,x102563),f83(x102561)),f329(f262(x102562,x102563,x102561),x102564)),f80(x102561)),f329(f329(f259(x102562,x102563),x102566),x102565)))+P1(f329(f329(f331(x102562),f551(x102564,x102565,x102563,x102566,x102562,x102561)),x102566)) % 166.45/166.24 [10277]~P80(x102771)+~P1(f329(f63(x102772),x102776))+E(f329(f329(f329(f67(x102771,x102772,f83(x102771)),f329(f329(f18(x102772,f913(x102773,a900),x102771),f329(f329(f7(x102772,x102771,f913(f913(x102773,a900),x102771)),f329(f329(f8(f913(x102773,x102771),f913(x102771,f913(f913(x102773,a900),x102771)),x102772),f67(x102771,x102773,f83(x102771))),x102774)),f80(x102771))),x102775)),f80(x102771)),x102776),f329(f329(f329(f67(x102771,f912(x102772,x102773),f83(x102771)),f329(f262(x102772,x102773,x102771),x102774)),f80(x102771)),f329(f329(f259(x102772,x102773),x102776),x102775)))+~P1(f329(f63(x102773),f329(x102775,f551(x102774,x102775,x102773,x102776,x102772,x102771)))) % 166.45/166.24 [8391]~P19(x83912,x83915,x83916,x83911)+~P1(f329(f63(x83912),x83914))+~P1(f329(f63(x83912),x83913))+E(f329(x83911,f329(f329(f115(f913(x83912,a900)),x83913),x83914)),f329(f74(x83915,x83915,x83915,f329(x83911,x83913)),f329(x83911,x83914))) % 166.45/166.24 [8618]~P4(x86181)+P1(f329(f329(f239(x86181),f329(x86182,x86183)),x86184))+~P1(f329(f329(f331(x86185),x86183),x86186))+~P1(f329(f329(f239(x86181),f329(f329(f41(x86185,x86181),x86186),x86182)),x86184)) % 166.45/166.24 [9034]~P24(x90342,x90341,x90343,x90346)+E(f329(f329(f23(f913(x90341,a900)),f329(f312(x90342,x90341,x90343),x90344)),f329(f312(x90342,x90341,x90343),x90345)),f329(f312(x90342,x90341,x90343),f329(f329(f23(f913(x90342,a900)),x90344),x90345)))+~P1(f329(f329(f239(f913(x90342,a900)),x90345),x90346))+~P1(f329(f329(f239(f913(x90342,a900)),x90344),x90346)) % 166.45/166.24 [9035]~P24(x90352,x90351,x90353,x90356)+E(f329(f329(f106(f913(x90351,a900)),f329(f312(x90352,x90351,x90353),x90354)),f329(f312(x90352,x90351,x90353),x90355)),f329(f312(x90352,x90351,x90353),f329(f329(f106(f913(x90352,a900)),x90354),x90355)))+~P1(f329(f329(f239(f913(x90352,a900)),x90355),x90356))+~P1(f329(f329(f239(f913(x90352,a900)),x90354),x90356)) % 166.45/166.24 [9306]E(x93061,x93062)+~P57(x93063,x93064,x93065)+~P1(f329(f329(f331(f912(x93063,x93064)),f329(f329(f257(x93063,x93064),x93066),x93062)),x93065))+~P1(f329(f329(f331(f912(x93063,x93064)),f329(f329(f257(x93063,x93064),x93066),x93061)),x93065)) % 166.45/166.24 [10070]~P78(x100701)+~E(f329(x100703,f493(x100704,x100706,x100703,x100705,x100702,x100701)),f329(x100706,f493(x100704,x100706,x100703,x100705,x100702,x100701)))+~P1(f329(f63(x100702),x100705))+E(f329(f329(f329(f67(x100701,x100702,f83(x100701)),x100703),x100704),x100705),f329(f329(f329(f67(x100701,x100702,f83(x100701)),x100706),x100704),x100705)) % 166.45/166.24 [10131]~P78(x101311)+~P1(f329(f63(x101312),x101315))+E(f329(f329(f329(f67(x101311,x101312,f83(x101311)),x101313),x101314),x101315),f329(f329(f329(f67(x101311,x101312,f83(x101311)),x101316),x101314),x101315))+P1(f329(f329(f331(x101312),f493(x101314,x101313,x101316,x101315,x101312,x101311)),x101315)) % 166.45/166.24 [8837]~P78(x88371)+~P1(f329(f63(x88372),x88376))+P1(f329(f329(f331(x88372),x88375),x88376))+E(f329(f329(f329(f67(x88371,x88372,f83(x88371)),x88373),x88374),f329(f329(f311(x88372),x88375),x88376)),f329(f329(f83(x88371),f329(x88373,x88375)),f329(f329(f329(f67(x88371,x88372,f83(x88371)),x88373),x88374),x88376))) % 166.45/166.24 [8885]~P7(x88851,x88856,x88853)+~P10(x88851,f913(x88852,a900),x88853,x88855)+~P1(f329(f329(f331(x88851),x88854),x88856))+E(f329(f329(f41(x88851,f913(x88852,a900)),f329(f288(x88851,x88851,x88853),f329(f329(f311(x88851),x88854),f191(f913(x88851,a900))))),x88855),f329(x88855,x88854)) % 166.45/166.24 [9009]~P15(x90093,x90094,x90091)+~P1(f329(f63(x90093),x90096))+~P1(f329(f329(f331(x90093),x90092),x90096))+E(f329(f329(x90091,x90092),f329(f329(f66(x90093,x90094,x90091),x90095),f329(f329(f23(f913(x90093,a900)),x90096),f329(f329(f311(x90093),x90092),f191(f913(x90093,a900)))))),f329(f329(f66(x90093,x90094,x90091),x90095),x90096)) % 166.45/166.24 [9317]~P18(x93173,x93171,x93176,x93172)+~P1(f329(f63(x93173),x93175))+~P1(f329(f63(x93173),x93174))+E(f329(f74(x93171,x93171,x93171,f329(x93172,f329(f329(f115(f913(x93173,a900)),x93174),x93175))),f329(x93172,f329(f329(f106(f913(x93173,a900)),x93174),x93175))),f329(f74(x93171,x93171,x93171,f329(x93172,x93174)),f329(x93172,x93175))) % 166.45/166.24 [10285]~P40(f913(f912(x102854,x102855),a900),f913(f912(x102854,x102855),a900),x102856)+P1(f329(f329(x102851,x102852),x102853))+~P1(f329(f329(f331(f912(x102854,x102855)),f329(f329(f257(x102854,x102855),x102852),x102853)),f100(f913(f912(x102854,x102855),a900),x102856)))+P1(f329(f329(f331(f912(x102854,x102855)),f329(f329(f257(x102854,x102855),f515(x102851,x102856,x102853,x102852,x102855,x102854)),f521(x102851,x102856,x102853,x102852,x102855,x102854))),f329(x102856,f329(f329(f106(f913(f912(x102854,x102855),a900)),f100(f913(f912(x102854,x102855),a900),x102856)),f329(f267(f912(x102854,x102855)),f329(f262(x102854,x102855,a900),x102851)))))) % 166.45/166.24 [9654]~E(x96543,f329(f329(f162(x96541,x96542),x96545),x96546))+P1(f329(f329(f331(f912(f906(x96541),f906(x96541))),f329(f329(f257(f906(x96541),f906(x96541)),x96542),x96543)),f160(x96541,x96544)))+~P1(f329(f329(f240(a905),x96545),f329(f192(f906(x96541)),x96542)))+~P1(f329(f329(f331(f912(x96541,x96541)),f329(f329(f257(x96541,x96541),f329(f329(f167(x96541),x96542),x96545)),x96546)),x96544)) % 166.45/166.24 [10142]~P74(x101422)+~P1(f329(f63(x101421),x101426))+P1(f329(f329(f331(x101421),f549(x101424,x101425,x101423,x101426,x101421,x101422)),x101426))+E(f329(f329(f6(x101421,x101422),f329(f329(f18(x101421,f913(x101423,a900),x101422),f329(f329(f8(f913(x101423,x101422),f913(f913(x101423,a900),x101422),x101421),f6(x101423,x101422)),x101424)),x101425)),x101426),f329(f329(f6(f912(x101421,x101423),x101422),f329(f262(x101421,x101423,x101422),x101424)),f329(f329(f259(x101421,x101423),x101426),x101425))) % 166.45/166.24 [10143]~P80(x101432)+~P1(f329(f63(x101431),x101436))+P1(f329(f329(f331(x101431),f550(x101434,x101435,x101433,x101436,x101431,x101432)),x101436))+E(f329(f329(f9(x101431,x101432),f329(f329(f18(x101431,f913(x101433,a900),x101432),f329(f329(f8(f913(x101433,x101432),f913(f913(x101433,a900),x101432),x101431),f9(x101433,x101432)),x101434)),x101435)),x101436),f329(f329(f9(f912(x101431,x101433),x101432),f329(f262(x101431,x101433,x101432),x101434)),f329(f329(f259(x101431,x101433),x101436),x101435))) % 166.45/166.24 [10184]~P74(x101842)+~P1(f329(f63(x101841),x101846))+~P1(f329(f63(x101843),f329(x101845,f549(x101844,x101845,x101843,x101846,x101841,x101842))))+E(f329(f329(f6(x101841,x101842),f329(f329(f18(x101841,f913(x101843,a900),x101842),f329(f329(f8(f913(x101843,x101842),f913(f913(x101843,a900),x101842),x101841),f6(x101843,x101842)),x101844)),x101845)),x101846),f329(f329(f6(f912(x101841,x101843),x101842),f329(f262(x101841,x101843,x101842),x101844)),f329(f329(f259(x101841,x101843),x101846),x101845))) % 166.45/166.24 [10185]~P80(x101852)+~P1(f329(f63(x101851),x101856))+~P1(f329(f63(x101853),f329(x101855,f550(x101854,x101855,x101853,x101856,x101851,x101852))))+E(f329(f329(f9(x101851,x101852),f329(f329(f18(x101851,f913(x101853,a900),x101852),f329(f329(f8(f913(x101853,x101852),f913(f913(x101853,a900),x101852),x101851),f9(x101853,x101852)),x101854)),x101855)),x101856),f329(f329(f9(f912(x101851,x101853),x101852),f329(f262(x101851,x101853,x101852),x101854)),f329(f329(f259(x101851,x101853),x101856),x101855))) % 166.45/166.24 [10165]~P80(x101652)+~P1(f329(f63(x101651),x101656))+P1(f329(f329(f331(x101651),x101653),x101656))+E(f329(f329(f9(x101651,x101652),f329(f329(f7(x101651,x101652,x101652),f329(f329(f18(x101651,x101652,f913(x101652,x101652)),f329(f329(f8(a900,f913(x101652,f913(x101652,x101652)),x101651),f99(x101652)),f329(f329(f7(x101651,x101651,a900),a326),x101653))),x101654)),x101655)),x101656),f329(f329(f249(x101652),x101655),f329(f37(x101651),x101656))) % 166.45/166.24 [10170]~P80(x101702)+~P1(f329(f63(x101701),x101706))+~P1(f329(f329(f331(x101701),x101703),x101706))+E(f329(f329(f9(x101701,x101702),f329(f329(f7(x101701,x101702,x101702),f329(f329(f18(x101701,x101702,f913(x101702,x101702)),f329(f329(f8(a900,f913(x101702,f913(x101702,x101702)),x101701),f99(x101702)),f329(f329(f7(x101701,x101701,a900),a326),x101703))),x101704)),x101705)),x101706),f329(f329(f83(x101702),f329(x101704,x101703)),f329(f329(f249(x101702),x101705),f329(f329(f23(a905),f329(f37(x101701),x101706)),f80(a905))))) % 166.45/166.24 [10248]~P1(f329(f63(x102481),x102485))+~P1(f329(f63(x102482),x102483))+P1(f329(f329(f331(x102482),f414(x102486,x102484,x102483,x102482,x102485,x102481)),x102483))+E(f329(f329(f6(x102481,a905),f329(f329(f8(f913(x102482,a900),a905,x102481),f37(x102482)),f329(f329(f8(f913(x102482,a900),f913(x102482,a900),x102481),f267(x102482)),f329(f329(f8(f913(x102482,a900),f913(x102482,a900),x102481),f329(f18(x102482,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102482),a327),f329(f329(f7(x102482,f913(x102482,a900),a900),f331(x102482)),x102483)))),x102484)))),x102485),f329(f329(f83(a905),x102486),f329(f37(x102482),x102483))) % 166.45/166.24 [10249]~P1(f329(f63(x102491),x102495))+~P1(f329(f63(x102492),x102493))+P1(f329(f329(f331(x102492),f420(x102496,x102494,x102493,x102492,x102495,x102491)),x102493))+E(f329(f329(f6(x102491,a905),f329(f329(f8(f913(x102492,a900),a905,x102491),f37(x102492)),f329(f329(f8(f913(x102492,a900),f913(x102492,a900),x102491),f267(x102492)),f329(f329(f8(f913(x102492,a900),f913(x102492,a900),x102491),f329(f18(x102492,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102492),a327),f329(f329(f7(x102492,f913(x102492,a900),a900),f331(x102492)),x102493)))),x102494)))),x102495),f329(f329(f6(x102492,a905),x102496),x102493)) % 166.45/166.24 [10289]~P1(f329(f63(x102892),x102893))+~P1(f329(f63(x102891),x102895))+~E(f329(f37(x102891),f329(f267(x102891),f329(f329(f18(x102891,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102891),a327),f329(f329(f7(x102891,f913(x102891,a900),a900),f331(x102891)),x102895))),f329(f329(f7(x102891,x102892,a900),x102894),f414(x102896,x102894,x102893,x102892,x102895,x102891))))),x102896)+E(f329(f329(f6(x102891,a905),f329(f329(f8(f913(x102892,a900),a905,x102891),f37(x102892)),f329(f329(f8(f913(x102892,a900),f913(x102892,a900),x102891),f267(x102892)),f329(f329(f8(f913(x102892,a900),f913(x102892,a900),x102891),f329(f18(x102892,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102892),a327),f329(f329(f7(x102892,f913(x102892,a900),a900),f331(x102892)),x102893)))),x102894)))),x102895),f329(f329(f83(a905),x102896),f329(f37(x102892),x102893))) % 166.45/166.24 [10291]~P1(f329(f63(x102912),x102913))+~P1(f329(f63(x102911),x102915))+~E(f329(f37(x102911),f329(f267(x102911),f329(f329(f18(x102911,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102911),a327),f329(f329(f7(x102911,f913(x102911,a900),a900),f331(x102911)),x102915))),f329(f329(f7(x102911,x102912,a900),x102914),f420(x102916,x102914,x102913,x102912,x102915,x102911))))),f329(x102916,f420(x102916,x102914,x102913,x102912,x102915,x102911)))+E(f329(f329(f6(x102911,a905),f329(f329(f8(f913(x102912,a900),a905,x102911),f37(x102912)),f329(f329(f8(f913(x102912,a900),f913(x102912,a900),x102911),f267(x102912)),f329(f329(f8(f913(x102912,a900),f913(x102912,a900),x102911),f329(f18(x102912,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102912),a327),f329(f329(f7(x102912,f913(x102912,a900),a900),f331(x102912)),x102913)))),x102914)))),x102915),f329(f329(f6(x102912,a905),x102916),x102913)) % 166.45/166.24 [9935]E(x99351,x99352)+~P15(x99353,x99354,x99355)+~P1(f329(f68(x99353,x99354,x99355,x99356,x99357),x99352))+~P1(f329(f68(x99353,x99354,x99355,x99356,x99357),x99351)) % 166.45/166.24 [9732]P1(f329(x97321,x97322))+~P1(f329(f329(f331(x97327),x97322),f329(x97326,x97324)))+~P1(f329(x97321,f426(x97321,x97326,x97325,x97323,x97327)))+~P1(f329(f329(f331(x97323),x97324),x97325)) % 166.45/166.24 [10156]~P15(x101567,x101566,x101561)+E(f329(f329(x101561,x101562),f631(x101562,x101563,x101564,x101565,x101561,x101566,x101567)),x101563)+~P1(f329(f68(x101567,x101566,x101561,x101565,x101564),x101563))+~P1(f329(f329(f331(x101567),x101562),x101564)) % 166.45/166.24 [10227]~P15(x102271,x102272,x102273)+~P1(f329(f68(x102271,x102272,x102273,x102274,x102275),x102277))+P1(f329(f68(x102271,x102272,x102273,x102274,f329(f329(f23(f913(x102271,a900)),x102275),f329(f329(f311(x102271),x102276),f191(f913(x102271,a900))))),f631(x102276,x102277,x102275,x102274,x102273,x102272,x102271)))+~P1(f329(f329(f331(x102271),x102276),x102275)) % 166.45/166.24 [9623]~P25(x96231,x96232,x96233,x96235,x96237)+~P25(x96231,x96232,x96233,x96234,x96236)+P25(x96231,x96232,x96233,f329(f329(f115(f913(x96231,a900)),x96234),x96235),f329(f329(f115(f913(x96232,a900)),x96236),x96237))+~E(f329(f329(f106(f913(x96232,a900)),x96236),x96237),f191(f913(x96232,a900))) % 166.45/166.24 [9628]~P78(x96281)+~P24(x96285,x96282,x96286,x96287)+~P1(f329(f63(x96285),x96287))+E(f329(f329(f329(f67(x96281,x96282,f83(x96281)),x96283),x96284),f329(f312(x96285,x96282,x96286),x96287)),f329(f329(f329(f67(x96281,x96285,f83(x96281)),f329(f74(x96282,x96281,x96285,x96283),x96286)),x96284),x96287)) % 166.45/166.24 [9755]~E(f329(f329(f311(x97551),x97555),x97556),f329(f329(f311(x97551),x97552),x97553))+~P1(f329(f68(x97551,x97551,x97554,x97552,x97553),x97557))+P1(f329(f329(f331(x97551),x97552),x97553))+P1(f329(f64(x97551,x97554,f329(f329(f311(x97551),x97555),x97556)),x97557)) % 166.45/166.24 [9839]P1(f329(x98391,x98392))+~P1(f329(f329(f331(x98393),x98392),f329(x98394,x98397)))+~P1(f329(f329(f331(x98396),x98397),x98395))+P1(f329(f329(f331(x98393),f426(x98391,x98394,x98395,x98396,x98393)),f329(f329(f41(x98396,f913(x98393,a900)),x98395),x98394))) % 166.45/166.24 [9856]~P24(x98562,x98561,x98565,x98564)+~P24(x98561,x98563,x98566,f329(f312(x98562,x98561,x98565),x98564))+E(f329(f329(f74(x98561,x98562,x98563,f79(x98562,x98561,x98564,x98565)),f79(x98561,x98563,f329(f312(x98562,x98561,x98565),x98564),x98566)),x98567),f329(f79(x98562,x98563,x98564,f329(f74(x98561,x98563,x98562,x98566),x98565)),x98567))+~P1(f329(f329(f331(x98563),x98567),f329(f312(x98561,x98563,x98566),f329(f312(x98562,x98561,x98565),x98564)))) % 166.45/166.24 [9857]~P24(x98572,x98571,x98575,x98574)+~P24(x98571,x98573,x98576,f329(f312(x98572,x98571,x98575),x98574))+E(f329(f329(f74(x98571,x98572,x98573,f94(x98572,x98571,x98574,x98575)),f94(x98571,x98573,f329(f312(x98572,x98571,x98575),x98574),x98576)),x98577),f329(f94(x98572,x98573,x98574,f329(f74(x98571,x98573,x98572,x98576),x98575)),x98577))+~P1(f329(f329(f331(x98573),x98577),f329(f312(x98571,x98573,x98576),f329(f312(x98572,x98571,x98575),x98574)))) % 166.45/166.24 [10157]~P15(x101577,x101576,x101571)+E(f329(f329(x101571,x101572),f656(x101573,x101574,x101572,x101575,x101571,x101576,x101577)),x101573)+P1(f329(f329(f331(x101577),x101572),x101574))+~P1(f329(f68(x101577,x101576,x101571,x101575,f329(f329(f311(x101577),x101572),x101574)),x101573)) % 166.45/166.24 [10226]~P15(x102261,x102264,x102265)+P1(f329(f68(x102261,x102264,x102265,x102266,x102263),f656(x102267,x102263,x102262,x102266,x102265,x102264,x102261)))+P1(f329(f329(f331(x102261),x102262),x102263))+~P1(f329(f68(x102261,x102264,x102265,x102266,f329(f329(f311(x102261),x102262),x102263)),x102267)) % 166.45/166.24 [9917]E(x99171,f2(a1))+~P1(f329(f51(x99173,x99171),f329(f329(f257(a1,a1),x99175),x99177)))+~P1(f329(f51(x99172,x99171),f329(f329(f257(a1,a1),x99174),x99176)))+P1(f329(f51(f329(f329(f82(a1),x99172),x99173),x99171),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f82(a1),x99174),x99175)),f329(f329(f38(a1),f329(f329(f82(a1),x99176),x99177)),x99171))),f47(a1,f329(f329(f82(a1),x99176),x99177),x99171)))) % 166.45/166.24 [9919]~P1(f329(f329(f240(a905),f2(a905)),x99193))+~P1(f329(f50(x99192,x99193),f329(f329(f257(a905,a905),x99195),x99197)))+~P1(f329(f50(x99191,x99193),f329(f329(f257(a905,a905),x99194),x99196)))+P1(f329(f50(f329(f329(f82(a905),x99191),x99192),x99193),f329(f329(f257(a905,a905),f329(f329(f82(a905),f329(f329(f82(a905),x99194),x99195)),f329(f329(f38(a905),f329(f329(f82(a905),x99196),x99197)),x99193))),f47(a905,f329(f329(f82(a905),x99196),x99197),x99193)))) % 166.45/166.24 [10288]~P74(x102882)+~P1(f329(f63(x102883),x102885))+~P1(f329(f63(x102881),x102887))+E(f329(f329(f6(x102881,x102882),f329(f329(f18(x102881,f913(x102883,a900),x102882),f329(f329(f8(f913(x102883,x102882),f913(f913(x102883,a900),x102882),x102881),f6(x102883,x102882)),x102884)),f329(f329(f8(f913(x102883,a900),f913(x102883,a900),x102881),f267(x102883)),f329(f329(f8(f913(x102883,a900),f913(x102883,a900),x102881),f329(f18(x102883,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102883),a327),f329(f329(f7(x102883,f913(x102883,a900),a900),f331(x102883)),x102885)))),x102886)))),x102887),f329(f329(f6(x102883,x102882),f329(f329(f18(x102883,f913(x102881,a900),x102882),f329(f329(f8(f913(x102881,x102882),f913(f913(x102881,a900),x102882),x102883),f6(x102881,x102882)),f329(f7(x102881,x102883,x102882),x102884))),f329(f329(f8(f913(x102881,a900),f913(x102881,a900),x102883),f267(x102881)),f329(f329(f8(f913(x102881,a900),f913(x102881,a900),x102883),f329(f18(x102881,a900,a900),f329(f329(f8(a900,f913(a900,a900),x102881),a327),f329(f329(f7(x102881,f913(x102881,a900),a900),f331(x102881)),x102887)))),f329(f7(x102881,x102883,a900),x102886))))),x102885)) % 166.45/166.24 [9791]~P21(x97917,x97916,x97911,x97918,x97912,x97914)+E(f329(f329(x97911,f329(x97912,x97913)),f329(x97914,x97915)),f329(x97914,x97915))+~P1(f329(f63(x97916),x97915))+~P1(f329(f329(f331(x97916),x97913),x97915)) % 166.45/166.24 [9795]~P11(x97956,x97951,x97952,x97958,x97953,x97954)+~P7(x97956,x97957,x97958)+P10(x97951,x97952,x97953,f329(x97954,x97955))+~P1(f329(f329(f331(x97956),x97955),x97957)) % 166.45/166.24 [7910]~P42(x79104,x79105,x79106,x79103)+~P27(x79108,x79106,f329(f329(f329(f93(x79108),x79107),x79104),x79101))+P1(f329(f329(x79101,x79102),x79103))+~P1(f329(f329(x79107,x79102),x79105)) % 166.45/166.24 [9408]~P18(x94087,x94081,x94088,x94083)+~P1(f329(f63(x94087),x94085))+~P1(f329(f63(x94087),x94084))+E(f329(f74(x94081,x94081,x94082,f329(x94083,x94084)),f329(f74(x94081,x94081,x94082,f329(x94083,x94085)),x94086)),f329(f74(x94081,x94081,x94082,f329(x94083,x94085)),f329(f74(x94081,x94081,x94082,f329(x94083,x94084)),x94086))) % 166.45/166.24 [9417]~P34(x94171,x94172,x94173,x94174,x94177)+P34(x94171,x94172,x94173,f329(f329(f162(x94171,x94174),x94175),x94176),f329(f329(f162(x94172,x94177),x94175),x94178))+~P1(f329(f329(x94173,x94176),x94178))+~P1(f329(f329(f240(a905),x94175),f329(f192(f906(x94171)),x94174))) % 166.45/166.24 [9418]~P34(x94181,x94182,x94183,x94184,x94187)+P34(x94181,x94182,x94183,f329(f329(f162(x94181,x94184),x94185),x94186),f329(f329(f162(x94182,x94187),x94185),x94188))+~P1(f329(f329(x94183,x94186),x94188))+~P1(f329(f329(f240(a905),x94185),f329(f192(f906(x94182)),x94187))) % 166.45/166.24 [9497]~P24(x94972,x94972,x94975,x94976)+~P20(x94973,x94972,x94977,x94978,x94971)+~P1(f329(f63(x94972),x94976))+E(f329(f329(x94971,f329(f74(x94972,x94973,x94972,x94974),x94975)),x94976),f329(f329(x94971,x94974),f329(f312(x94972,x94972,x94975),x94976))) % 166.45/166.24 [9756]P25(x97561,x97562,x97563,x97564,x97565)+~P25(x97562,x97566,x97567,x97565,x97568)+~P25(x97561,x97566,f329(f74(x97562,x97566,x97561,x97567),x97563),x97564,x97568)+~P1(f329(f329(f239(f913(x97562,a900)),f329(f312(x97561,x97562,x97563),x97564)),x97565)) % 166.45/166.24 [9793]~P22(x97937,x97932,x97935,x97938,x97936,x97931)+~P1(f329(f63(x97932),x97934))+E(f329(x97931,f329(f329(f311(x97932),x97933),x97934)),f329(f329(x97935,f329(x97936,x97933)),f329(x97931,x97934)))+P1(f329(f329(f331(x97932),x97933),x97934)) % 166.45/166.24 [9804]~P21(x98046,x98045,x98041,x98047,x98048,x98042)+E(f329(f329(x98041,f329(x98042,x98043)),f329(x98042,x98044)),f329(x98042,x98044))+~P1(f329(f63(x98045),x98044))+~P1(f329(f329(f239(f913(x98045,a900)),x98043),x98044)) % 166.45/166.24 [9394]P1(f329(f329(f331(f912(f906(x93941),f906(x93941))),f329(f329(f257(f906(x93941),f906(x93941)),x93942),x93943)),f160(x93941,x93944)))+~E(x93943,f329(f329(f137(x93941),x93945),f329(f329(f154(x93941),x93946),x93947)))+~E(x93942,f329(f329(f137(x93941),x93945),f329(f329(f154(x93941),x93948),x93947)))+~P1(f329(f329(f331(f912(x93941,x93941)),f329(f329(f257(x93941,x93941),x93948),x93946)),x93944)) % 166.45/166.24 [9798]~P21(x97986,x97982,x97985,x97987,x97988,x97981)+~P1(f329(f63(x97982),x97984))+~P1(f329(f63(x97982),x97983))+E(f329(x97981,f329(f329(f115(f913(x97982,a900)),x97983),x97984)),f329(f329(x97985,f329(x97981,x97983)),f329(x97981,x97984))) % 166.45/166.24 [10331]~P24(x103314,x103312,x103315,x103318)+E(f329(f329(f42(x103311,f913(x103312,a900)),x103313),f329(f329(f8(f913(x103314,a900),f913(x103312,a900),x103311),f312(x103314,x103312,x103315)),x103316)),f329(f312(x103314,x103312,x103315),f329(f329(f42(x103311,f913(x103314,a900)),x103313),x103316)))+~P1(f329(f329(f331(x103311),x103317),x103313))+P1(f329(f329(f331(x103311),f645(x103317,x103316,x103313,x103311,x103318,x103315,x103312,x103314)),x103313)) % 166.45/166.24 [10356]~P24(x103564,x103562,x103565,x103567)+E(f329(f329(f42(x103561,f913(x103562,a900)),x103563),f329(f329(f8(f913(x103564,a900),f913(x103562,a900),x103561),f312(x103564,x103562,x103565)),x103566)),f329(f312(x103564,x103562,x103565),f329(f329(f42(x103561,f913(x103564,a900)),x103563),x103566)))+~P1(f329(f329(f331(x103561),x103568),x103563))+~P1(f329(f329(f239(f913(x103564,a900)),f329(x103566,f645(x103568,x103566,x103563,x103561,x103567,x103565,x103562,x103564))),x103567)) % 166.45/166.24 [9866]~P22(x98667,x98665,x98661,x98668,x98662,x98664)+~P1(f329(f63(x98665),x98666))+~P1(f329(f329(f331(x98665),x98663),x98666))+E(f329(f329(x98661,f329(x98662,x98663)),f329(x98664,f329(f329(f23(f913(x98665,a900)),x98666),f329(f329(f311(x98665),x98663),f191(f913(x98665,a900)))))),f329(x98664,x98666)) % 166.45/166.24 [9874]~P22(x98746,x98743,x98741,x98747,x98748,x98742)+~P1(f329(f63(x98743),x98745))+~P1(f329(f63(x98743),x98744))+E(f329(f329(x98741,f329(x98742,f329(f329(f115(f913(x98743,a900)),x98744),x98745))),f329(x98742,f329(f329(f106(f913(x98743,a900)),x98744),x98745))),f329(f329(x98741,f329(x98742,x98744)),f329(x98742,x98745))) % 166.45/166.24 [9958]P44(x99581,x99582,x99583,x99584,x99585,f329(f329(x99583,x99586),x99587))+~P44(x99581,x99582,x99583,x99584,f329(f329(f23(f913(x99581,a900)),x99585),f329(f329(f311(x99581),x99588),f191(f913(x99581,a900)))),x99589)+~E(f329(f329(x99583,x99586),x99587),f329(f329(x99583,x99588),x99589))+~P1(f329(f329(f331(x99581),x99588),x99585)) % 166.45/166.24 [9900]~P11(x99006,x99007,x99008,x99009,x990010,x99001)+E(f329(f329(x99001,x99002),x99003),f329(f329(x99001,x99004),x99005))+~P1(f329(f329(f331(f912(x99007,x99007)),f329(f329(f257(x99007,x99007),x99003),x99005)),x990010))+~P1(f329(f329(f331(f912(x99006,x99006)),f329(f329(f257(x99006,x99006),x99002),x99004)),x99009)) % 166.45/166.24 [9499]~P2(x94992)+E(x94991,f191(f913(x94992,a900)))+~P1(f329(f63(x94992),x94991))+P1(f329(f329(f331(x94992),f10(x94992,x94991)),x94991))+~P1(f329(f329(f331(x94992),f329(f329(f106(x94992),f863(x94991,x94992)),f864(x94991,x94992))),f329(f329(f311(x94992),f863(x94991,x94992)),f329(f329(f311(x94992),f864(x94991,x94992)),f191(f913(x94992,a900)))))) % 166.45/166.24 [9500]~P2(x95002)+E(x95001,f191(f913(x95002,a900)))+~P1(f329(f63(x95002),x95001))+P1(f329(f329(f331(x95002),f13(x95002,x95001)),x95001))+~P1(f329(f329(f331(x95002),f329(f329(f115(x95002),f865(x95001,x95002)),f866(x95001,x95002))),f329(f329(f311(x95002),f865(x95001,x95002)),f329(f329(f311(x95002),f866(x95001,x95002)),f191(f913(x95002,a900)))))) % 166.45/166.24 [9531]~P78(x95312)+E(x95311,f191(f913(x95312,a900)))+~P1(f329(f63(x95312),x95311))+P1(f329(f329(f331(x95312),f329(f65(x95312,f83(x95312)),x95311)),x95311))+~P1(f329(f329(f331(x95312),f329(f329(f83(x95312),f405(x95311,x95312)),f406(x95311,x95312))),f329(f329(f311(x95312),f405(x95311,x95312)),f329(f329(f311(x95312),f406(x95311,x95312)),f191(f913(x95312,a900)))))) % 166.45/166.24 [9537]~P105(x95372)+E(x95371,f191(f913(x95372,a900)))+~P1(f329(f63(x95372),x95371))+P1(f329(f329(f331(x95372),f11(x95372,f237(x95372),x95371)),x95371))+~P1(f329(f329(f331(x95372),f329(f329(f237(x95372),f454(x95371,x95372)),f456(x95371,x95372))),f329(f329(f311(x95372),f454(x95371,x95372)),f329(f329(f311(x95372),f456(x95371,x95372)),f191(f913(x95372,a900)))))) % 166.45/166.24 [9538]~P105(x95382)+E(x95381,f191(f913(x95382,a900)))+~P1(f329(f63(x95382),x95381))+P1(f329(f329(f331(x95382),f12(x95382,f238(x95382),x95381)),x95381))+~P1(f329(f329(f331(x95382),f329(f329(f238(x95382),f461(x95381,x95382)),f462(x95381,x95382))),f329(f329(f311(x95382),f461(x95381,x95382)),f329(f329(f311(x95382),f462(x95381,x95382)),f191(f913(x95382,a900)))))) % 166.45/166.24 [6633]~P90(x66332)+E(x66331,f2(x66332))+~E(f329(f329(f82(x66332),x66333),x66331),f2(x66332))+~P1(f329(f329(f239(x66332),f2(x66332)),x66333))+~P1(f329(f329(f239(x66332),f2(x66332)),x66331)) % 166.45/166.24 [6634]~P90(x66342)+E(x66341,f2(x66342))+~E(f329(f329(f82(x66342),x66341),x66343),f2(x66342))+~P1(f329(f329(f239(x66342),f2(x66342)),x66343))+~P1(f329(f329(f239(x66342),f2(x66342)),x66341)) % 166.45/166.24 [7161]~P105(x71612)+~P12(x71612,x71611)+E(x71611,f118(x71612))+~P1(f329(f329(f331(x71612),x71613),f329(f175(x71612),f732(x71611,x71612))))+P1(f329(f329(f239(x71612),f751(x71611,x71612)),x71613)) % 166.45/166.24 [7328]~P105(x73281)+E(f14(x73281,x73282),x73283)+~P1(f329(f63(x73281),x73282))+~P1(f329(f329(f239(x73281),x73283),f496(x73283,x73282,x73281)))+~P1(f329(f329(f331(x73281),x73283),x73282)) % 166.45/166.24 [7364]~P105(x73641)+~P12(x73641,x73642)+~P12(x73641,x73643)+P12(x73641,f329(f329(f137(x73641),x73642),x73643))+P1(f329(f329(f331(x73641),f739(x73643,x73642,x73641)),f329(f175(x73641),x73642))) % 166.45/166.24 [7365]~P105(x73651)+~P12(x73651,x73652)+~P12(x73651,x73653)+P12(x73651,f329(f329(f137(x73651),x73652),x73653))+P1(f329(f329(f331(x73651),f740(x73653,x73652,x73651)),f329(f175(x73651),x73653))) % 166.45/166.24 [7426]~P105(x74261)+E(f14(x74261,x74262),x74263)+~P1(f329(f63(x74261),x74262))+P1(f329(f329(f331(x74261),f496(x74263,x74262,x74261)),x74262))+~P1(f329(f329(f331(x74261),x74263),x74262)) % 166.45/166.24 [7427]~P105(x74271)+E(f15(x74271,x74272),x74273)+~P1(f329(f63(x74271),x74272))+P1(f329(f329(f331(x74271),f497(x74273,x74272,x74271)),x74272))+~P1(f329(f329(f331(x74271),x74273),x74272)) % 166.45/166.24 [8011]~P105(x80111)+E(f15(x80111,x80112),x80113)+~P1(f329(f63(x80111),x80112))+~P1(f329(f329(f331(x80111),x80113),x80112))+~P1(f329(f329(f239(x80111),f497(x80113,x80112,x80111)),x80113)) % 166.45/166.24 [8339]~P105(x83391)+~P12(x83391,x83392)+~P12(x83391,x83393)+P12(x83391,f329(f329(f137(x83391),x83392),x83393))+~P1(f329(f329(f239(x83391),f739(x83393,x83392,x83391)),f740(x83393,x83392,x83391))) % 166.45/166.24 [9131]~P2(x91312)+E(x91311,f191(f913(x91312,a900)))+~E(f329(f329(f106(x91312),f329(x91313,f862(x91311,x91313,x91312))),f329(x91313,f867(x91311,x91313,x91312))),f329(x91313,f329(f329(f106(x91312),f862(x91311,x91313,x91312)),f867(x91311,x91313,x91312))))+E(f10(x91312,f329(f312(x91312,x91312,x91313),x91311)),f329(x91313,f10(x91312,x91311)))+~P1(f329(f63(x91312),x91311)) % 166.45/166.24 [9132]~P2(x91322)+E(x91321,f191(f913(x91322,a900)))+~E(f329(f329(f115(x91322),f329(x91323,f868(x91321,x91323,x91322))),f329(x91323,f870(x91321,x91323,x91322))),f329(x91323,f329(f329(f115(x91322),f868(x91321,x91323,x91322)),f870(x91321,x91323,x91322))))+E(f13(x91322,f329(f312(x91322,x91322,x91323),x91321)),f329(x91323,f13(x91322,x91321)))+~P1(f329(f63(x91322),x91321)) % 166.45/166.24 [9133]~P105(x91332)+E(x91331,f191(f913(x91332,a900)))+~E(f329(f329(f237(x91332),f329(x91333,f441(x91331,x91333,x91332))),f329(x91333,f444(x91331,x91333,x91332))),f329(x91333,f329(f329(f237(x91332),f441(x91331,x91333,x91332)),f444(x91331,x91333,x91332))))+E(f14(x91332,f329(f312(x91332,x91332,x91333),x91331)),f329(x91333,f14(x91332,x91331)))+~P1(f329(f63(x91332),x91331)) % 166.45/166.24 [9134]~P105(x91342)+E(x91341,f191(f913(x91342,a900)))+~E(f329(f329(f238(x91342),f329(x91343,f452(x91341,x91343,x91342))),f329(x91343,f465(x91341,x91343,x91342))),f329(x91343,f329(f329(f238(x91342),f452(x91341,x91343,x91342)),f465(x91341,x91343,x91342))))+E(f15(x91342,f329(f312(x91342,x91342,x91343),x91341)),f329(x91343,f15(x91342,x91341)))+~P1(f329(f63(x91342),x91341)) % 166.45/166.24 [9204]~P105(x92042)+E(x92041,f191(f913(x92042,a900)))+~E(f329(f329(f237(x92042),f329(x92043,f453(x92041,x92043,x92042))),f329(x92043,f457(x92041,x92043,x92042))),f329(x92043,f329(f329(f237(x92042),f453(x92041,x92043,x92042)),f457(x92041,x92043,x92042))))+E(f11(x92042,f237(x92042),f329(f312(x92042,x92042,x92043),x92041)),f329(x92043,f11(x92042,f237(x92042),x92041)))+~P1(f329(f63(x92042),x92041)) % 166.45/166.24 [9205]~P105(x92052)+E(x92051,f191(f913(x92052,a900)))+~E(f329(f329(f238(x92052),f329(x92053,f458(x92051,x92053,x92052))),f329(x92053,f463(x92051,x92053,x92052))),f329(x92053,f329(f329(f238(x92052),f458(x92051,x92053,x92052)),f463(x92051,x92053,x92052))))+E(f12(x92052,f238(x92052),f329(f312(x92052,x92052,x92053),x92051)),f329(x92053,f12(x92052,f238(x92052),x92051)))+~P1(f329(f63(x92052),x92051)) % 166.45/166.24 [6649]~P78(x66492)+E(x66491,f191(f913(x66492,a900)))+~P1(f329(f63(x66492),x66491))+E(f329(f65(x66492,f83(x66492)),f329(f329(f311(x66492),x66493),x66491)),f329(f329(f83(x66492),x66493),f329(f65(x66492,f83(x66492)),x66491)))+P1(f329(f329(f331(x66492),x66493),x66491)) % 166.45/166.24 [7167]~P2(x71672)+E(f329(f329(f115(x71672),f13(x71672,x71671)),f13(x71672,x71673)),f13(x71672,x71673))+E(x71671,f191(f913(x71672,a900)))+~P1(f329(f63(x71672),x71673))+~P1(f329(f329(f239(f913(x71672,a900)),x71671),x71673)) % 166.45/166.24 [7168]~P2(x71682)+E(f329(f329(f106(x71682),f10(x71682,x71681)),f10(x71682,x71683)),f10(x71682,x71683))+E(x71681,f191(f913(x71682,a900)))+~P1(f329(f63(x71682),x71683))+~P1(f329(f329(f239(f913(x71682,a900)),x71681),x71683)) % 166.45/166.24 [7169]~P105(x71692)+E(f329(f329(f237(x71692),f14(x71692,x71691)),f14(x71692,x71693)),f14(x71692,x71693))+E(x71691,f191(f913(x71692,a900)))+~P1(f329(f63(x71692),x71693))+~P1(f329(f329(f239(f913(x71692,a900)),x71691),x71693)) % 166.45/166.24 [7170]~P105(x71702)+E(f329(f329(f238(x71702),f15(x71702,x71701)),f15(x71702,x71703)),f15(x71702,x71703))+E(x71701,f191(f913(x71702,a900)))+~P1(f329(f63(x71702),x71703))+~P1(f329(f329(f239(f913(x71702,a900)),x71701),x71703)) % 166.45/166.24 [7478]~P105(x74782)+E(x74781,f191(f913(x74782,a900)))+~P1(f329(f63(x74782),x74783))+P1(f329(f329(f239(x74782),f14(x74782,x74783)),f14(x74782,x74781)))+~P1(f329(f329(f239(f913(x74782,a900)),x74781),x74783)) % 166.45/166.24 [7479]~P105(x74792)+E(x74791,f191(f913(x74792,a900)))+~P1(f329(f63(x74792),x74793))+P1(f329(f329(f239(x74792),f15(x74792,x74791)),f15(x74792,x74793)))+~P1(f329(f329(f239(f913(x74792,a900)),x74791),x74793)) % 166.45/166.24 [7535]~P2(x75351)+E(f10(x75351,x75352),x75353)+~P1(f329(f63(x75351),x75352))+~E(f329(f329(f23(f913(x75351,a900)),x75352),f329(f329(f311(x75351),x75353),f191(f913(x75351,a900)))),f191(f913(x75351,a900)))+~P1(f329(f329(f331(x75351),x75353),x75352)) % 166.45/166.24 [7536]~P2(x75361)+E(f13(x75361,x75362),x75363)+~P1(f329(f63(x75361),x75362))+~E(f329(f329(f23(f913(x75361,a900)),x75362),f329(f329(f311(x75361),x75363),f191(f913(x75361,a900)))),f191(f913(x75361,a900)))+~P1(f329(f329(f331(x75361),x75363),x75362)) % 166.45/166.24 [7537]~P105(x75371)+E(f14(x75371,x75372),x75373)+~P1(f329(f63(x75371),x75372))+~E(f329(f329(f23(f913(x75371,a900)),x75372),f329(f329(f311(x75371),x75373),f191(f913(x75371,a900)))),f191(f913(x75371,a900)))+~P1(f329(f329(f331(x75371),x75373),x75372)) % 166.45/166.24 [7538]~P105(x75381)+E(f15(x75381,x75382),x75383)+~P1(f329(f63(x75381),x75382))+~E(f329(f329(f23(f913(x75381,a900)),x75382),f329(f329(f311(x75381),x75383),f191(f913(x75381,a900)))),f191(f913(x75381,a900)))+~P1(f329(f329(f331(x75381),x75383),x75382)) % 166.45/166.24 [7635]~P105(x76351)+E(f11(x76351,f237(x76351),x76352),x76353)+~P1(f329(f63(x76351),x76352))+~E(f329(f329(f23(f913(x76351,a900)),x76352),f329(f329(f311(x76351),x76353),f191(f913(x76351,a900)))),f191(f913(x76351,a900)))+~P1(f329(f329(f331(x76351),x76353),x76352)) % 166.45/166.24 [7636]~P105(x76361)+E(f12(x76361,f238(x76361),x76362),x76363)+~P1(f329(f63(x76361),x76362))+~E(f329(f329(f23(f913(x76361,a900)),x76362),f329(f329(f311(x76361),x76363),f191(f913(x76361,a900)))),f191(f913(x76361,a900)))+~P1(f329(f329(f331(x76361),x76363),x76362)) % 166.45/166.24 [7671]~P107(x76712)+E(x76711,f191(f913(x76712,a900)))+~P1(f329(f63(x76712),x76711))+~P1(f329(f329(f239(x76712),x76713),f391(x76713,x76711,x76712)))+P1(f329(f329(f239(x76712),x76713),f329(f65(x76712,f106(x76712)),x76711))) % 166.45/166.24 [7672]~P105(x76722)+E(x76721,f191(f913(x76722,a900)))+~P1(f329(f63(x76722),x76721))+~P1(f329(f329(f239(x76722),x76723),f409(x76723,x76721,x76722)))+P1(f329(f329(f239(x76722),x76723),f329(f65(x76722,f237(x76722)),x76721))) % 166.45/166.24 [7673]~P105(x76732)+E(x76731,f191(f913(x76732,a900)))+~P1(f329(f63(x76732),x76731))+~P1(f329(f329(f240(x76732),x76733),f438(x76733,x76731,x76732)))+P1(f329(f329(f240(x76732),x76733),f329(f65(x76732,f237(x76732)),x76731))) % 166.45/166.24 [7759]~P107(x77592)+E(x77591,f191(f913(x77592,a900)))+~P1(f329(f63(x77592),x77591))+P1(f329(f329(f331(x77592),f391(x77593,x77591,x77592)),x77591))+P1(f329(f329(f239(x77592),x77593),f329(f65(x77592,f106(x77592)),x77591))) % 166.45/166.24 [7760]~P105(x77602)+E(x77601,f191(f913(x77602,a900)))+~P1(f329(f63(x77602),x77601))+P1(f329(f329(f331(x77602),f409(x77603,x77601,x77602)),x77601))+P1(f329(f329(f239(x77602),x77603),f329(f65(x77602,f237(x77602)),x77601))) % 166.45/166.24 [7761]~P105(x77612)+E(x77611,f191(f913(x77612,a900)))+~P1(f329(f63(x77612),x77611))+P1(f329(f329(f331(x77612),f438(x77613,x77611,x77612)),x77611))+P1(f329(f329(f240(x77612),x77613),f329(f65(x77612,f237(x77612)),x77611))) % 166.45/166.24 [7884]~P105(x78842)+E(x78841,f191(f913(x78842,a900)))+E(f329(f329(f237(x78842),f11(x78842,f237(x78842),x78841)),f11(x78842,f237(x78842),x78843)),f11(x78842,f237(x78842),x78843))+~P1(f329(f63(x78842),x78843))+~P1(f329(f329(f239(f913(x78842,a900)),x78841),x78843)) % 166.45/166.24 [7885]~P105(x78852)+E(x78851,f191(f913(x78852,a900)))+E(f329(f329(f238(x78852),f12(x78852,f238(x78852),x78851)),f12(x78852,f238(x78852),x78853)),f12(x78852,f238(x78852),x78853))+~P1(f329(f63(x78852),x78853))+~P1(f329(f329(f239(f913(x78852,a900)),x78851),x78853)) % 166.45/166.24 [8091]~E(f642(x80911,x80913,x80912),f643(x80911,x80913,x80912))+~E(f329(f37(x80912),f644(x80911,x80913,x80912)),x80911)+E(f329(f329(f83(a905),x80911),f329(f37(f913(x80912,a900)),x80913)),f329(f37(x80912),f39(f913(x80912,a900),x80913)))+~P1(f329(f63(x80912),f39(f913(x80912,a900),x80913)))+~P1(f329(f63(f913(x80912,a900)),x80913)) % 166.45/166.24 [8277]~P105(x82772)+E(x82771,f191(f913(x82772,a900)))+~P1(f329(f63(x82772),x82773))+P1(f329(f329(f239(x82772),f329(f65(x82772,f237(x82772)),x82773)),f329(f65(x82772,f237(x82772)),x82771)))+~P1(f329(f329(f239(f913(x82772,a900)),x82771),x82773)) % 166.45/166.24 [8585]~E(f642(x85851,x85853,x85852),f643(x85851,x85853,x85852))+E(f329(f329(f83(a905),x85851),f329(f37(f913(x85852,a900)),x85853)),f329(f37(x85852),f39(f913(x85852,a900),x85853)))+P1(f329(f329(f331(f913(x85852,a900)),f644(x85851,x85853,x85852)),x85853))+~P1(f329(f63(x85852),f39(f913(x85852,a900),x85853)))+~P1(f329(f63(f913(x85852,a900)),x85853)) % 166.45/166.24 [8614]~E(f329(f37(x86142),f644(x86141,x86143,x86142)),x86141)+E(f329(f329(f83(a905),x86141),f329(f37(f913(x86142,a900)),x86143)),f329(f37(x86142),f39(f913(x86142,a900),x86143)))+P1(f329(f329(f331(f913(x86142,a900)),f643(x86141,x86143,x86142)),x86143))+~P1(f329(f63(x86142),f39(f913(x86142,a900),x86143)))+~P1(f329(f63(f913(x86142,a900)),x86143)) % 166.45/166.24 [8615]~E(f329(f37(x86152),f644(x86151,x86153,x86152)),x86151)+E(f329(f329(f83(a905),x86151),f329(f37(f913(x86152,a900)),x86153)),f329(f37(x86152),f39(f913(x86152,a900),x86153)))+P1(f329(f329(f331(f913(x86152,a900)),f642(x86151,x86153,x86152)),x86153))+~P1(f329(f63(x86152),f39(f913(x86152,a900),x86153)))+~P1(f329(f63(f913(x86152,a900)),x86153)) % 166.45/166.24 [8644]~E(f329(f37(x86442),f644(x86441,x86443,x86442)),x86441)+~E(f329(f329(f106(f913(x86442,a900)),f643(x86441,x86443,x86442)),f642(x86441,x86443,x86442)),f191(f913(x86442,a900)))+E(f329(f329(f83(a905),x86441),f329(f37(f913(x86442,a900)),x86443)),f329(f37(x86442),f39(f913(x86442,a900),x86443)))+~P1(f329(f63(f913(x86442,a900)),x86443))+~P1(f329(f63(x86442),f39(f913(x86442,a900),x86443))) % 166.45/166.24 [8891]E(f329(f329(f83(a905),x88911),f329(f37(f913(x88912,a900)),x88913)),f329(f37(x88912),f39(f913(x88912,a900),x88913)))+P1(f329(f329(f331(f913(x88912,a900)),f644(x88911,x88913,x88912)),x88913))+P1(f329(f329(f331(f913(x88912,a900)),f643(x88911,x88913,x88912)),x88913))+~P1(f329(f63(f913(x88912,a900)),x88913))+~P1(f329(f63(x88912),f39(f913(x88912,a900),x88913))) % 166.45/166.24 [8892]E(f329(f329(f83(a905),x88921),f329(f37(f913(x88922,a900)),x88923)),f329(f37(x88922),f39(f913(x88922,a900),x88923)))+P1(f329(f329(f331(f913(x88922,a900)),f644(x88921,x88923,x88922)),x88923))+P1(f329(f329(f331(f913(x88922,a900)),f642(x88921,x88923,x88922)),x88923))+~P1(f329(f63(f913(x88922,a900)),x88923))+~P1(f329(f63(x88922),f39(f913(x88922,a900),x88923))) % 166.45/166.24 [8916]~E(f329(f329(f106(f913(x89162,a900)),f643(x89161,x89163,x89162)),f642(x89161,x89163,x89162)),f191(f913(x89162,a900)))+E(f329(f329(f83(a905),x89161),f329(f37(f913(x89162,a900)),x89163)),f329(f37(x89162),f39(f913(x89162,a900),x89163)))+~P1(f329(f63(f913(x89162,a900)),x89163))+P1(f329(f329(f331(f913(x89162,a900)),f644(x89161,x89163,x89162)),x89163))+~P1(f329(f63(x89162),f39(f913(x89162,a900),x89163))) % 166.45/166.24 [9179]~P100(x91792)+E(x91791,f191(f913(x91792,a900)))+~E(f329(f329(f83(x91792),f329(x91793,f404(x91791,x91793,x91792))),f329(x91793,f407(x91791,x91793,x91792))),f329(x91793,f329(f329(f83(x91792),f404(x91791,x91793,x91792)),f407(x91791,x91793,x91792))))+~P1(f329(f63(x91792),x91791))+E(f329(f65(x91792,f83(x91792)),f329(f312(x91792,x91792,x91793),x91791)),f329(x91793,f329(f65(x91792,f83(x91792)),x91791))) % 166.45/166.24 [10104]P1(f329(f329(x101041,x101042),x101043))+P1(f329(f329(f240(a1),f506(x101041,x101043,x101042)),f507(x101041,x101043,x101042)))+P1(f329(f329(f239(a1),f507(x101041,x101043,x101042)),f2(a1)))+P1(f329(f329(x101041,f506(x101041,x101043,x101042)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f507(x101041,x101043,x101042))))+~P1(f329(f317(f912(a1,a1),a60),f329(f329(f257(a1,a1),x101042),x101043))) % 166.45/166.24 [10110]P1(f329(f329(x101101,x101102),x101103))+P1(f329(f329(f239(a1),f505(x101101,x101103,x101102)),f2(a1)))+P1(f329(f329(x101101,f503(x101101,x101103,x101102)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f505(x101101,x101103,x101102))))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f503(x101101,x101103,x101102)),f505(x101101,x101103,x101102))))+~P1(f329(f317(f912(a1,a1),a54),f329(f329(f257(a1,a1),x101102),x101103))) % 166.45/166.24 [8061]~P117(x80611)+~P1(f329(f329(f239(x80611),x80612),f80(x80611)))+~P1(f329(f329(f239(x80611),f2(x80611)),x80612))+~P1(f329(f329(f239(x80611),f2(x80611)),x80613))+P1(f329(f329(f239(x80611),f329(f329(f83(x80611),x80612),x80613)),x80613)) % 166.45/166.24 [8062]~P117(x80621)+~P1(f329(f329(f239(x80621),x80623),f80(x80621)))+~P1(f329(f329(f239(x80621),f2(x80621)),x80623))+~P1(f329(f329(f239(x80621),f2(x80621)),x80622))+P1(f329(f329(f239(x80621),f329(f329(f83(x80621),x80622),x80623)),x80622)) % 166.45/166.24 [8427]~P105(x84272)+E(x84271,f191(f913(x84272,a900)))+~P1(f329(f63(x84272),x84271))+P1(f329(f329(f239(x84272),f439(x84273,x84271,x84272)),x84273))+~P1(f329(f329(f239(x84272),f329(f65(x84272,f237(x84272)),x84271)),x84273)) % 166.45/166.24 [8428]~P105(x84282)+E(x84281,f191(f913(x84282,a900)))+~P1(f329(f63(x84282),x84281))+P1(f329(f329(f331(x84282),f439(x84283,x84281,x84282)),x84281))+~P1(f329(f329(f239(x84282),f329(f65(x84282,f237(x84282)),x84281)),x84283)) % 166.45/166.24 [8429]~P105(x84292)+E(x84291,f191(f913(x84292,a900)))+~P1(f329(f63(x84292),x84291))+P1(f329(f329(f331(x84292),f440(x84293,x84291,x84292)),x84291))+~P1(f329(f329(f240(x84292),f329(f65(x84292,f237(x84292)),x84291)),x84293)) % 166.45/166.24 [8430]~P105(x84302)+E(x84301,f191(f913(x84302,a900)))+~P1(f329(f63(x84302),x84301))+P1(f329(f329(f240(x84302),f440(x84303,x84301,x84302)),x84303))+~P1(f329(f329(f240(x84302),f329(f65(x84302,f237(x84302)),x84301)),x84303)) % 166.45/166.24 [8514]~P1(f329(x85141,x85143))+P1(f329(x85141,f365(x85141,x85142)))+P1(f329(x85141,f364(x85141,x85142)))+~P1(f329(f329(f240(a1),f2(a1)),x85142))+P1(f329(x85141,f329(f329(f23(a1),f364(x85141,x85142)),f329(f329(f83(a1),f366(x85141,x85142)),x85142)))) % 166.45/166.24 [8741]~P1(f329(x87411,x87413))+P1(f329(x87411,f364(x87411,x87412)))+~P1(f329(f329(f240(a1),f2(a1)),x87412))+P1(f329(f329(f331(a1),f365(x87411,x87412)),f305(a1,f80(a1),x87412)))+P1(f329(x87411,f329(f329(f23(a1),f364(x87411,x87412)),f329(f329(f83(a1),f366(x87411,x87412)),x87412)))) % 166.45/166.24 [8938]~P1(f329(x89381,x89383))+~P1(f329(x89381,f364(x89381,x89382)))+P1(f329(x89381,f365(x89381,x89382)))+~P1(f329(f329(f240(a1),f2(a1)),x89382))+~P1(f329(x89381,f329(f329(f23(a1),f364(x89381,x89382)),f329(f329(f83(a1),f366(x89381,x89382)),x89382)))) % 166.45/166.24 [9067]~P1(f329(x90671,x90673))+~P1(f329(x90671,f364(x90671,x90672)))+~P1(f329(f329(f240(a1),f2(a1)),x90672))+P1(f329(f329(f331(a1),f365(x90671,x90672)),f305(a1,f80(a1),x90672)))+~P1(f329(x90671,f329(f329(f23(a1),f364(x90671,x90672)),f329(f329(f83(a1),f366(x90671,x90672)),x90672)))) % 166.45/166.24 [8848]~P2(x88481)+~P1(f329(f63(x88481),x88482))+E(f329(f329(f23(f913(x88481,a900)),x88482),f329(f329(f311(x88481),x88483),f191(f913(x88481,a900)))),f191(f913(x88481,a900)))+~P1(f329(f329(f331(x88481),x88483),x88482))+E(f329(f329(f106(x88481),x88483),f10(x88481,f329(f329(f23(f913(x88481,a900)),x88482),f329(f329(f311(x88481),x88483),f191(f913(x88481,a900)))))),f10(x88481,x88482)) % 166.45/166.24 [8849]~P2(x88491)+~P1(f329(f63(x88491),x88492))+E(f329(f329(f23(f913(x88491,a900)),x88492),f329(f329(f311(x88491),x88493),f191(f913(x88491,a900)))),f191(f913(x88491,a900)))+~P1(f329(f329(f331(x88491),x88493),x88492))+E(f329(f329(f115(x88491),x88493),f13(x88491,f329(f329(f23(f913(x88491,a900)),x88492),f329(f329(f311(x88491),x88493),f191(f913(x88491,a900)))))),f13(x88491,x88492)) % 166.45/166.24 [8850]~P105(x88501)+~P1(f329(f63(x88501),x88502))+E(f329(f329(f23(f913(x88501,a900)),x88502),f329(f329(f311(x88501),x88503),f191(f913(x88501,a900)))),f191(f913(x88501,a900)))+~P1(f329(f329(f331(x88501),x88503),x88502))+E(f329(f329(f237(x88501),x88503),f14(x88501,f329(f329(f23(f913(x88501,a900)),x88502),f329(f329(f311(x88501),x88503),f191(f913(x88501,a900)))))),f14(x88501,x88502)) % 166.45/166.24 [8851]~P105(x88511)+~P1(f329(f63(x88511),x88512))+E(f329(f329(f23(f913(x88511,a900)),x88512),f329(f329(f311(x88511),x88513),f191(f913(x88511,a900)))),f191(f913(x88511,a900)))+~P1(f329(f329(f331(x88511),x88513),x88512))+E(f329(f329(f238(x88511),x88513),f15(x88511,f329(f329(f23(f913(x88511,a900)),x88512),f329(f329(f311(x88511),x88513),f191(f913(x88511,a900)))))),f15(x88511,x88512)) % 166.45/166.24 [8911]~P105(x89111)+~P1(f329(f63(x89111),x89112))+E(f329(f329(f23(f913(x89111,a900)),x89112),f329(f329(f311(x89111),x89113),f191(f913(x89111,a900)))),f191(f913(x89111,a900)))+~P1(f329(f329(f331(x89111),x89113),x89112))+E(f329(f329(f237(x89111),x89113),f11(x89111,f237(x89111),f329(f329(f23(f913(x89111,a900)),x89112),f329(f329(f311(x89111),x89113),f191(f913(x89111,a900)))))),f11(x89111,f237(x89111),x89112)) % 166.45/166.24 [8912]~P105(x89121)+~P1(f329(f63(x89121),x89122))+E(f329(f329(f23(f913(x89121,a900)),x89122),f329(f329(f311(x89121),x89123),f191(f913(x89121,a900)))),f191(f913(x89121,a900)))+~P1(f329(f329(f331(x89121),x89123),x89122))+E(f329(f329(f238(x89121),x89123),f12(x89121,f238(x89121),f329(f329(f23(f913(x89121,a900)),x89122),f329(f329(f311(x89121),x89123),f191(f913(x89121,a900)))))),f12(x89121,f238(x89121),x89122)) % 166.45/166.24 [8925]~P2(x89251)+~P1(f329(f63(x89251),x89253))+~P1(f329(f63(x89251),x89252))+E(f329(f329(f106(f913(x89251,a900)),x89252),x89253),f191(f913(x89251,a900)))+E(f329(f329(f115(x89251),f13(x89251,f329(f329(f115(f913(x89251,a900)),x89252),x89253))),f13(x89251,f329(f329(f106(f913(x89251,a900)),x89252),x89253))),f329(f329(f115(x89251),f13(x89251,x89252)),f13(x89251,x89253))) % 166.45/166.24 [8926]~P2(x89261)+~P1(f329(f63(x89261),x89263))+~P1(f329(f63(x89261),x89262))+E(f329(f329(f106(f913(x89261,a900)),x89262),x89263),f191(f913(x89261,a900)))+E(f329(f329(f106(x89261),f10(x89261,f329(f329(f115(f913(x89261,a900)),x89262),x89263))),f10(x89261,f329(f329(f106(f913(x89261,a900)),x89262),x89263))),f329(f329(f106(x89261),f10(x89261,x89262)),f10(x89261,x89263))) % 166.45/166.24 [8927]~P105(x89271)+~P1(f329(f63(x89271),x89273))+~P1(f329(f63(x89271),x89272))+E(f329(f329(f106(f913(x89271,a900)),x89272),x89273),f191(f913(x89271,a900)))+E(f329(f329(f237(x89271),f14(x89271,f329(f329(f115(f913(x89271,a900)),x89272),x89273))),f14(x89271,f329(f329(f106(f913(x89271,a900)),x89272),x89273))),f329(f329(f237(x89271),f14(x89271,x89272)),f14(x89271,x89273))) % 166.45/166.24 [8928]~P105(x89281)+~P1(f329(f63(x89281),x89283))+~P1(f329(f63(x89281),x89282))+E(f329(f329(f106(f913(x89281,a900)),x89282),x89283),f191(f913(x89281,a900)))+E(f329(f329(f238(x89281),f15(x89281,f329(f329(f115(f913(x89281,a900)),x89282),x89283))),f15(x89281,f329(f329(f106(f913(x89281,a900)),x89282),x89283))),f329(f329(f238(x89281),f15(x89281,x89282)),f15(x89281,x89283))) % 166.45/166.24 [9151]~P105(x91511)+~P1(f329(f63(x91511),x91513))+~P1(f329(f63(x91511),x91512))+E(f329(f329(f106(f913(x91511,a900)),x91512),x91513),f191(f913(x91511,a900)))+E(f329(f329(f237(x91511),f11(x91511,f237(x91511),f329(f329(f115(f913(x91511,a900)),x91512),x91513))),f11(x91511,f237(x91511),f329(f329(f106(f913(x91511,a900)),x91512),x91513))),f329(f329(f237(x91511),f11(x91511,f237(x91511),x91512)),f11(x91511,f237(x91511),x91513))) % 166.45/166.24 [9152]~P105(x91521)+~P1(f329(f63(x91521),x91523))+~P1(f329(f63(x91521),x91522))+E(f329(f329(f106(f913(x91521,a900)),x91522),x91523),f191(f913(x91521,a900)))+E(f329(f329(f238(x91521),f12(x91521,f238(x91521),f329(f329(f115(f913(x91521,a900)),x91522),x91523))),f12(x91521,f238(x91521),f329(f329(f106(f913(x91521,a900)),x91522),x91523))),f329(f329(f238(x91521),f12(x91521,f238(x91521),x91522)),f12(x91521,f238(x91521),x91523))) % 166.45/166.24 [9955]~P127(x99553)+E(x99551,x99552)+~P1(f329(f329(f239(x99553),f2(x99553)),x99552))+~P1(f329(f329(f239(x99553),f2(x99553)),x99551))+~E(f329(f329(f249(x99553),x99551),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x99553),x99552),f329(f108(a905),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.45/166.24 [6443]E(f886(x64431,x64432,x64433),x64434)+E(f329(x64431,x64434),f2(a905))+~E(f329(f329(f6(x64433,a905),x64431),x64432),f80(a905))+~P1(f329(f63(x64433),x64432))+~P1(f329(f329(f331(x64433),x64434),x64432)) % 166.45/166.24 [6509]E(f802(x65091,x65092,x65093),x65094)+E(f329(x65091,x65094),f2(a905))+~E(f329(f329(f6(x65093,a905),x65091),x65092),f329(a117,f2(a905)))+~P1(f329(f63(x65093),x65092))+~P1(f329(f329(f331(x65093),x65094),x65092)) % 166.45/166.24 [6619]~P105(x66191)+~P4(x66191)+P1(f329(f329(f240(x66191),x66192),f39(x66191,x66193)))+~P1(f329(f329(f240(x66191),x66192),x66194))+~P1(f329(f329(f331(x66191),x66194),x66193)) % 166.45/166.24 [6793]~P105(x67931)+~P4(x67931)+~P1(f329(f329(f240(x67931),x67934),x67933))+P1(f329(f329(f240(x67931),f40(x67931,x67932)),x67933))+~P1(f329(f329(f331(x67931),x67934),x67932)) % 166.45/166.24 [7048]~P127(x70483)+E(x70481,x70482)+~E(f329(f329(f249(x70483),x70481),f329(a117,x70484)),f329(f329(f249(x70483),x70482),f329(a117,x70484)))+~P1(f329(f329(f239(x70483),f2(x70483)),x70482))+~P1(f329(f329(f239(x70483),f2(x70483)),x70481)) % 166.45/166.24 [7255]~E(f887(x72552,x72553,x72551,x72554),x72554)+~E(f329(x72552,x72554),f80(a905))+E(f329(f329(f6(x72551,a905),x72552),x72553),f80(a905))+~P1(f329(f63(x72551),x72553))+~P1(f329(f329(f331(x72551),x72554),x72553)) % 166.45/166.24 [7262]~P118(x72624)+~P130(x72624)+E(f329(x72621,f450(x72621,x72622,x72623,x72624)),f2(x72624))+~E(f329(f329(f9(x72623,x72624),x72621),x72622),f2(x72624))+~P1(f329(f63(x72623),x72622)) % 166.45/166.24 [7351]~E(f820(x73512,x73513,x73511,x73514),x73514)+~E(f329(x73512,x73514),f329(a117,f2(a905)))+E(f329(f329(f6(x73511,a905),x73512),x73513),f329(a117,f2(a905)))+~P1(f329(f63(x73511),x73513))+~P1(f329(f329(f331(x73511),x73514),x73513)) % 166.45/166.24 [8103]~E(f329(x81032,x81034),f80(a905))+~E(f329(x81032,f887(x81032,x81033,x81031,x81034)),f2(a905))+E(f329(f329(f6(x81031,a905),x81032),x81033),f80(a905))+~P1(f329(f63(x81031),x81033))+~P1(f329(f329(f331(x81031),x81034),x81033)) % 166.45/166.24 [8147]~E(f329(x81472,x81474),f329(a117,f2(a905)))+~E(f329(x81472,f820(x81472,x81473,x81471,x81474)),f2(a905))+E(f329(f329(f6(x81471,a905),x81472),x81473),f329(a117,f2(a905)))+~P1(f329(f63(x81471),x81473))+~P1(f329(f329(f331(x81471),x81474),x81473)) % 166.45/166.24 [8710]~P105(x87101)+~P12(x87101,x87104)+P12(x87101,x87102)+~E(x87102,f329(f329(f154(x87101),x87103),x87104))+~P1(f329(f329(f239(x87101),x87103),f752(x87102,x87101,x87104,x87103))) % 166.45/166.24 [8745]E(x87451,x87452)+E(f329(f329(f23(a1),f368(x87453,x87452,x87454,x87451)),f369(x87453,x87452,x87454,x87451)),x87451)+~E(f329(f329(f82(a1),x87451),x87454),x87452)+~P1(f329(f329(f240(a1),f2(a1)),x87454))+~P1(f329(f329(f331(a1),x87452),x87453)) % 166.45/166.24 [8746]E(x87461,x87462)+E(f329(f329(f82(a1),f370(x87463,x87462,x87464,x87461)),f371(x87463,x87462,x87464,x87461)),x87461)+~E(f329(f329(f23(a1),x87461),x87464),x87462)+~P1(f329(f329(f240(a1),f2(a1)),x87464))+~P1(f329(f329(f331(a1),x87462),x87463)) % 166.45/166.24 [8923]E(f329(x89231,f627(x89232,x89231,x89233,x89234)),x89232)+P1(f329(f329(f239(a905),x89234),f628(x89232,x89231,x89233,x89234)))+~P1(f329(f329(f239(a1),x89232),f329(x89231,x89233)))+~P1(f329(f329(f240(a905),x89234),x89233))+~P1(f329(f329(f239(a1),f329(x89231,x89234)),x89232)) % 166.45/166.24 [8924]~P105(x89241)+~P12(x89241,x89243)+P12(x89241,x89242)+~E(x89242,f329(f329(f154(x89241),x89244),x89243))+P1(f329(f329(f331(x89241),f752(x89242,x89241,x89243,x89244)),f329(f175(x89241),x89243))) % 166.45/166.24 [8942]~P118(x89424)+~P130(x89424)+~E(f329(f329(f9(x89421,x89424),x89422),x89423),f2(x89424))+~P1(f329(f63(x89421),x89423))+P1(f329(f329(f331(x89421),f450(x89422,x89423,x89421,x89424)),x89423)) % 166.45/166.24 [8979]~E(f329(x89792,x89794),f80(a905))+E(f329(f329(f6(x89791,a905),x89792),x89793),f80(a905))+~P1(f329(f63(x89791),x89793))+~P1(f329(f329(f331(x89791),x89794),x89793))+P1(f329(f329(f331(x89791),f887(x89792,x89793,x89791,x89794)),x89793)) % 166.45/166.24 [8991]E(x89911,x89912)+~E(f329(f329(f82(a1),x89912),x89914),x89911)+~P1(f329(f329(f240(a1),f2(a1)),x89914))+~P1(f329(f329(f331(a1),x89911),x89913))+P1(f329(f329(f331(a1),f368(x89913,x89911,x89914,x89912)),x89913)) % 166.45/166.24 [8992]E(x89921,x89922)+~E(f329(f329(f23(a1),x89922),x89924),x89921)+~P1(f329(f329(f240(a1),f2(a1)),x89924))+~P1(f329(f329(f331(a1),x89921),x89923))+P1(f329(f329(f331(a1),f370(x89923,x89921,x89924,x89922)),x89923)) % 166.45/166.24 [8994]~E(f329(x89942,x89944),f329(a117,f2(a905)))+E(f329(f329(f6(x89941,a905),x89942),x89943),f329(a117,f2(a905)))+~P1(f329(f63(x89941),x89943))+~P1(f329(f329(f331(x89941),x89944),x89943))+P1(f329(f329(f331(x89941),f820(x89942,x89943,x89941,x89944)),x89943)) % 166.45/166.24 [8999]P61(x89992,x89993,x89994,x89991)+E(x89991,f191(f913(x89992,a900)))+~P1(f329(f63(x89992),x89994))+~P1(f329(f63(x89992),x89991))+P1(f329(f329(f331(x89992),f821(x89993,x89991,x89994,x89992)),x89994)) % 166.45/166.24 [9000]P61(x90002,x90003,x90004,x90001)+E(x90001,f191(f913(x90002,a900)))+~P1(f329(f63(x90002),x90004))+~P1(f329(f63(x90002),x90001))+P1(f329(f329(f331(x90002),f529(x90001,x90004,x90003,x90002)),x90004)) % 166.45/166.24 [9001]P61(x90012,x90013,x90014,x90011)+E(x90011,f191(f913(x90012,a900)))+~P1(f329(f63(x90012),x90014))+~P1(f329(f63(x90012),x90011))+P1(f329(f329(f331(x90012),f823(x90011,x90014,x90013,x90012)),x90014)) % 166.45/166.24 [9080]E(x90801,x90802)+~E(f329(f329(f82(a1),x90802),x90804),x90801)+~P1(f329(f329(f240(a1),f2(a1)),x90804))+~P1(f329(f329(f331(a1),x90801),x90803))+P1(f329(f329(f331(a1),f369(x90803,x90801,x90804,x90802)),f305(a1,f80(a1),x90804))) % 166.45/166.24 [9081]E(x90811,x90812)+~E(f329(f329(f23(a1),x90812),x90814),x90811)+~P1(f329(f329(f240(a1),f2(a1)),x90814))+~P1(f329(f329(f331(a1),x90811),x90813))+P1(f329(f329(f331(a1),f371(x90813,x90811,x90814,x90812)),f305(a1,f80(a1),x90814))) % 166.45/166.24 [9157]P1(f329(f329(f239(a905),x91571),f627(x91572,x91573,x91574,x91571)))+~P1(f329(f329(f239(a1),x91572),f329(x91573,x91574)))+P1(f329(f329(f239(a905),x91571),f628(x91572,x91573,x91574,x91571)))+~P1(f329(f329(f240(a905),x91571),x91574))+~P1(f329(f329(f239(a1),f329(x91573,x91571)),x91572)) % 166.45/166.24 [9279]E(f329(x92791,f627(x92792,x92791,x92793,x92794)),x92792)+~P1(f329(f329(f239(a1),x92792),f329(x92791,x92793)))+P1(f329(f329(f240(a905),f628(x92792,x92791,x92793,x92794)),x92793))+~P1(f329(f329(f240(a905),x92794),x92793))+~P1(f329(f329(f239(a1),f329(x92791,x92794)),x92792)) % 166.45/166.24 [9405]~P1(f329(f329(f239(a1),x94052),f329(x94053,x94054)))+P1(f329(f329(f239(a905),x94051),f628(x94052,x94053,x94054,x94051)))+P1(f329(f329(f239(a905),f627(x94052,x94053,x94054,x94051)),x94054))+~P1(f329(f329(f240(a905),x94051),x94054))+~P1(f329(f329(f239(a1),f329(x94053,x94051)),x94052)) % 166.45/166.24 [9406]~P1(f329(f329(f239(a1),x94062),f329(x94063,x94064)))+P1(f329(f329(f239(a905),x94061),f627(x94062,x94063,x94064,x94061)))+P1(f329(f329(f240(a905),f628(x94062,x94063,x94064,x94061)),x94064))+~P1(f329(f329(f240(a905),x94061),x94064))+~P1(f329(f329(f239(a1),f329(x94063,x94061)),x94062)) % 166.45/166.24 [9513]~P1(f329(f329(f239(a1),x95131),f329(x95132,x95133)))+P1(f329(f329(f240(a905),f628(x95131,x95132,x95133,x95134)),x95133))+~P1(f329(f329(f240(a905),x95134),x95133))+~P1(f329(f329(f239(a1),f329(x95132,x95134)),x95131))+P1(f329(f329(f239(a905),f627(x95131,x95132,x95133,x95134)),x95133)) % 166.45/166.24 [9600]E(x96001,f191(f913(x96002,a900)))+~P1(f329(f63(x96002),x96004))+~P1(f329(f63(x96002),x96001))+P1(f329(f329(f331(f912(f913(x96002,a900),f913(x96002,a900))),f329(f329(f257(f913(x96002,a900),f913(x96002,a900)),x96004),x96001)),f321(x96002,x96003)))+P1(f329(f329(f331(x96002),f538(x96003,x96001,x96004,x96002)),x96004)) % 166.45/166.24 [9601]E(x96011,f191(f913(x96012,a900)))+~P1(f329(f63(x96012),x96014))+~P1(f329(f63(x96012),x96011))+P1(f329(f329(f331(f912(f913(x96012,a900),f913(x96012,a900))),f329(f329(f257(f913(x96012,a900),f913(x96012,a900)),x96014),x96011)),f321(x96012,x96013)))+P1(f329(f329(f331(x96012),f594(x96013,x96011,x96014,x96012)),x96014)) % 166.45/166.24 [10258]E(f329(x102581,f627(x102582,x102581,x102583,x102584)),x102582)+~P1(f329(f329(f239(a1),x102582),f329(x102581,x102583)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102581,f329(f329(f82(a905),f628(x102582,x102581,x102583,x102584)),f80(a905)))),f329(x102581,f628(x102582,x102581,x102583,x102584))))),f80(a1)))+~P1(f329(f329(f240(a905),x102584),x102583))+~P1(f329(f329(f239(a1),f329(x102581,x102584)),x102582)) % 166.45/166.24 [10259]~P1(f329(f329(f239(a1),x102592),f329(x102593,x102594)))+P1(f329(f329(f239(a905),x102591),f627(x102592,x102593,x102594,x102591)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102593,f329(f329(f82(a905),f628(x102592,x102593,x102594,x102591)),f80(a905)))),f329(x102593,f628(x102592,x102593,x102594,x102591))))),f80(a1)))+~P1(f329(f329(f240(a905),x102591),x102594))+~P1(f329(f329(f239(a1),f329(x102593,x102591)),x102592)) % 166.45/166.24 [10260]~P1(f329(f329(f239(a1),x102601),f329(x102602,x102603)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102602,f329(f329(f82(a905),f628(x102601,x102602,x102603,x102604)),f80(a905)))),f329(x102602,f628(x102601,x102602,x102603,x102604))))),f80(a1)))+~P1(f329(f329(f240(a905),x102604),x102603))+~P1(f329(f329(f239(a1),f329(x102602,x102604)),x102601))+P1(f329(f329(f239(a905),f627(x102601,x102602,x102603,x102604)),x102603)) % 166.45/166.24 [7314]~P72(x73141)+P1(f329(f329(f240(x73141),x73142),f2(x73141)))+~P1(f329(f329(f239(x73141),x73143),f2(x73141)))+P1(f329(f329(f240(x73141),f2(x73141)),x73142))+P1(f329(f329(f239(x73141),x73143),f329(f329(f292(x73141),x73144),x73142))) % 166.45/166.24 [7315]~P72(x73151)+P1(f329(f329(f240(x73151),x73152),f2(x73151)))+~P1(f329(f329(f240(x73151),x73153),f2(x73151)))+P1(f329(f329(f240(x73151),f2(x73151)),x73152))+P1(f329(f329(f240(x73151),x73153),f329(f329(f292(x73151),x73154),x73152))) % 166.45/166.24 [7576]~P72(x75761)+P1(f329(f329(f239(x75761),x75762),f2(x75761)))+P1(f329(f329(f240(x75761),x75763),f2(x75761)))+P1(f329(f329(f240(x75761),f2(x75761)),x75763))+~P1(f329(f329(f239(x75761),x75762),f329(f329(f292(x75761),x75764),x75763))) % 166.45/166.24 [7577]~P72(x75771)+P1(f329(f329(f240(x75771),x75772),f2(x75771)))+P1(f329(f329(f240(x75771),x75773),f2(x75771)))+P1(f329(f329(f240(x75771),f2(x75771)),x75773))+~P1(f329(f329(f240(x75771),x75772),f329(f329(f292(x75771),x75774),x75773))) % 166.45/166.24 [7692]E(x76921,x76922)+~E(f329(f329(f167(x76923),x76924),x76921),f329(f329(f167(x76923),x76924),x76922))+~P1(f329(f140(x76923),x76924))+~P1(f329(f329(f240(a905),x76922),f329(f192(f906(x76923)),x76924)))+~P1(f329(f329(f240(a905),x76921),f329(f192(f906(x76923)),x76924))) % 166.45/166.24 [8063]~P72(x80631)+~P1(f329(f329(f239(x80631),x80633),f2(x80631)))+P1(f329(f329(f240(x80631),f2(x80631)),x80632))+~P1(f329(f329(f239(x80631),x80634),f329(f329(f83(x80631),x80633),x80632)))+P1(f329(f329(f239(x80631),x80633),f329(f329(f292(x80631),x80634),x80632))) % 166.45/166.24 [8064]~P72(x80641)+~P1(f329(f329(f240(x80641),x80643),f2(x80641)))+P1(f329(f329(f240(x80641),f2(x80641)),x80642))+~P1(f329(f329(f240(x80641),x80644),f329(f329(f83(x80641),x80643),x80642)))+P1(f329(f329(f240(x80641),x80643),f329(f329(f292(x80641),x80644),x80642))) % 166.45/166.24 [8065]~P72(x80651)+~P1(f329(f329(f240(x80651),x80652),f2(x80651)))+P1(f329(f329(f240(x80651),f2(x80651)),x80652))+~P1(f329(f329(f239(x80651),x80654),f329(f329(f83(x80651),x80653),x80652)))+P1(f329(f329(f239(x80651),x80653),f329(f329(f292(x80651),x80654),x80652))) % 166.45/166.24 [8066]~P72(x80661)+~P1(f329(f329(f240(x80661),x80662),f2(x80661)))+P1(f329(f329(f240(x80661),f2(x80661)),x80662))+~P1(f329(f329(f239(x80661),x80664),f329(f329(f292(x80661),x80663),x80662)))+P1(f329(f329(f239(x80661),x80663),f329(f329(f83(x80661),x80664),x80662))) % 166.45/166.24 [8067]~P72(x80671)+~P1(f329(f329(f240(x80671),x80672),f2(x80671)))+P1(f329(f329(f240(x80671),f2(x80671)),x80672))+~P1(f329(f329(f240(x80671),x80674),f329(f329(f83(x80671),x80673),x80672)))+P1(f329(f329(f240(x80671),x80673),f329(f329(f292(x80671),x80674),x80672))) % 166.45/166.24 [8068]~P72(x80681)+~P1(f329(f329(f240(x80681),x80682),f2(x80681)))+P1(f329(f329(f240(x80681),f2(x80681)),x80682))+~P1(f329(f329(f240(x80681),x80684),f329(f329(f292(x80681),x80683),x80682)))+P1(f329(f329(f240(x80681),x80683),f329(f329(f83(x80681),x80684),x80682))) % 166.45/166.24 [8218]~P105(x82181)+~P12(x82181,x82182)+~P1(f329(f329(f239(a905),x82183),x82184))+P1(f329(f329(f239(x82181),f329(f329(f167(x82181),x82182),x82183)),f329(f329(f167(x82181),x82182),x82184)))+~P1(f329(f329(f240(a905),x82184),f329(f192(f906(x82181)),x82182))) % 166.45/166.24 [8268]~P127(x82681)+~P1(f329(f329(f239(x82681),x82682),f80(x82681)))+~P1(f329(f329(f239(x82681),f2(x82681)),x82682))+~P1(f329(f329(f239(a905),x82684),x82683))+P1(f329(f329(f239(x82681),f329(f329(f249(x82681),x82682),x82683)),f329(f329(f249(x82681),x82682),x82684))) % 166.45/166.24 [8269]~P127(x82691)+~P1(f329(f329(f240(x82691),x82692),f80(x82691)))+~P1(f329(f329(f240(x82691),f2(x82691)),x82692))+~P1(f329(f329(f240(a905),x82694),x82693))+P1(f329(f329(f240(x82691),f329(f329(f249(x82691),x82692),x82693)),f329(f329(f249(x82691),x82692),x82694))) % 166.45/166.24 [8270]~P127(x82701)+~P1(f329(f329(f239(x82701),f2(x82701)),x82702))+~P1(f329(f329(f240(a905),f2(a905)),x82703))+~P1(f329(f329(f240(x82701),x82702),x82704))+P1(f329(f329(f240(x82701),f329(f329(f249(x82701),x82702),x82703)),f329(f329(f249(x82701),x82704),x82703))) % 166.45/166.24 [8289]~P105(x82891)+~P12(x82891,f329(f171(x82891),x82892))+~P1(f329(f329(f239(a905),x82894),x82893))+P1(f329(f329(f239(x82891),f329(f329(f167(x82891),x82892),x82893)),f329(f329(f167(x82891),x82892),x82894)))+~P1(f329(f329(f240(a905),x82893),f329(f192(f906(x82891)),x82892))) % 166.45/166.24 [8536]~P72(x85361)+~P1(f329(f329(f239(x85361),x85362),f2(x85361)))+~P1(f329(f329(f239(x85361),x85363),x85364))+~P1(f329(f329(f240(x85361),f2(x85361)),f329(f329(f83(x85361),x85363),x85364)))+P1(f329(f329(f239(x85361),f329(f329(f292(x85361),x85362),x85363)),f329(f329(f292(x85361),x85362),x85364))) % 166.45/166.24 [8537]~P73(x85371)+~P1(f329(f329(f240(x85371),x85372),f2(x85371)))+~P1(f329(f329(f240(x85371),x85373),x85374))+~P1(f329(f329(f240(x85371),f2(x85371)),f329(f329(f83(x85371),x85373),x85374)))+P1(f329(f329(f240(x85371),f329(f329(f292(x85371),x85372),x85373)),f329(f329(f292(x85371),x85372),x85374))) % 166.45/166.24 [8546]~P73(x85461)+~P1(f329(f329(f239(x85461),x85464),x85463))+~P1(f329(f329(f239(x85461),f2(x85461)),x85462))+~P1(f329(f329(f240(x85461),f2(x85461)),f329(f329(f83(x85461),x85463),x85464)))+P1(f329(f329(f239(x85461),f329(f329(f292(x85461),x85462),x85463)),f329(f329(f292(x85461),x85462),x85464))) % 166.45/166.24 [8547]~P73(x85471)+~P1(f329(f329(f240(x85471),x85474),x85473))+~P1(f329(f329(f240(x85471),f2(x85471)),x85472))+~P1(f329(f329(f240(x85471),f2(x85471)),f329(f329(f83(x85471),x85473),x85474)))+P1(f329(f329(f240(x85471),f329(f329(f292(x85471),x85472),x85473)),f329(f329(f292(x85471),x85472),x85474))) % 166.45/166.24 [8660]P1(f329(x86601,x86602))+~P1(f329(f63(x86604),x86602))+P1(f329(x86601,f861(x86601,x86603,x86602,x86604)))+~P1(f329(x86601,f191(f913(x86604,a900))))+~P1(f329(f329(f239(f913(x86604,a900)),x86602),x86603)) % 166.45/166.24 [8668]P1(f329(x86681,x86682))+P1(f329(f63(x86683),f861(x86681,x86684,x86682,x86683)))+~P1(f329(f63(x86683),x86682))+~P1(f329(x86681,f191(f913(x86683,a900))))+~P1(f329(f329(f239(f913(x86683,a900)),x86682),x86684)) % 166.45/166.24 [8918]E(f329(f329(f82(a1),f375(x89181,x89182,x89183,x89184)),f376(x89181,x89182,x89183,x89184)),x89184)+~P1(f329(f329(f240(a1),f2(a1)),x89183))+~P1(f329(f329(f240(a1),x89182),x89184))+~P1(f329(f329(f331(a1),x89182),x89181))+P1(f329(f329(f240(a1),x89182),f329(f329(f23(a1),x89184),x89183))) % 166.45/166.24 [9137]~P1(f329(f329(f240(a1),f2(a1)),x91373))+~P1(f329(f329(f240(a1),x91372),x91374))+~P1(f329(f329(f331(a1),x91372),x91371))+P1(f329(f329(f331(a1),f375(x91371,x91372,x91373,x91374)),x91371))+P1(f329(f329(f240(a1),x91372),f329(f329(f23(a1),x91374),x91373))) % 166.45/166.24 [9150]P1(f329(x91501,x91502))+~P1(f329(f63(x91503),x91502))+P1(f329(f329(f331(x91503),f871(x91501,x91504,x91502,x91503)),x91504))+~P1(f329(x91501,f191(f913(x91503,a900))))+~P1(f329(f329(f239(f913(x91503,a900)),x91502),x91504)) % 166.45/166.24 [9167]E(f329(f329(f82(a1),f358(x91671,x91672,x91673,x91674)),f359(x91671,x91672,x91673,x91674)),x91674)+~P1(f329(f329(f240(a1),f2(a1)),x91673))+~P1(f329(f329(f239(a1),x91672),x91674))+P1(f329(f329(f239(a1),x91672),f329(f329(f23(a1),x91674),x91673)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x91672),f80(a1))),x91671)) % 166.45/166.24 [9222]~P1(f329(f329(f240(a1),f2(a1)),x92223))+~P1(f329(f329(f240(a1),x92221),x92222))+~P1(f329(f329(f331(a1),x92221),x92224))+P1(f329(f329(f331(a1),f376(x92224,x92221,x92223,x92222)),f305(a1,f80(a1),x92223)))+P1(f329(f329(f240(a1),x92221),f329(f329(f23(a1),x92222),x92223))) % 166.45/166.24 [9252]~P74(x92522)+~E(f805(x92523,x92524,x92521,x92522),f806(x92523,x92524,x92521,x92522))+~P1(f329(f63(x92521),f807(x92523,x92524,x92521,x92522)))+E(f329(f329(f6(f913(x92521,a900),x92522),f329(f6(x92521,x92522),x92523)),x92524),f329(f329(f6(x92521,x92522),x92523),f39(f913(x92521,a900),x92524)))+~P1(f329(f63(f913(x92521,a900)),x92524)) % 166.45/166.24 [9257]~P74(x92572)+~E(f329(x92573,f808(x92573,x92574,x92571,x92572)),f2(x92572))+~P1(f329(f63(x92571),f807(x92573,x92574,x92571,x92572)))+E(f329(f329(f6(f913(x92571,a900),x92572),f329(f6(x92571,x92572),x92573)),x92574),f329(f329(f6(x92571,x92572),x92573),f39(f913(x92571,a900),x92574)))+~P1(f329(f63(f913(x92571,a900)),x92574)) % 166.45/166.24 [9324]~P1(f329(f329(f240(a1),f2(a1)),x93243))+~P1(f329(f329(f239(a1),x93242),x93244))+P1(f329(f329(f331(a1),f358(x93241,x93242,x93243,x93244)),x93241))+P1(f329(f329(f239(a1),x93242),f329(f329(f23(a1),x93244),x93243)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93242),f80(a1))),x93241)) % 166.45/166.24 [9364]~P1(f329(f329(f240(a1),f2(a1)),x93643))+~P1(f329(f329(f239(a1),x93641),x93642))+P1(f329(f329(f331(a1),f359(x93644,x93641,x93643,x93642)),f305(a1,f80(a1),x93643)))+P1(f329(f329(f239(a1),x93641),f329(f329(f23(a1),x93642),x93643)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93641),f80(a1))),x93644)) % 166.45/166.24 [9385]~P74(x93852)+~E(f805(x93853,x93854,x93851,x93852),f806(x93853,x93854,x93851,x93852))+E(f329(f329(f6(f913(x93851,a900),x93852),f329(f6(x93851,x93852),x93853)),x93854),f329(f329(f6(x93851,x93852),x93853),f39(f913(x93851,a900),x93854)))+P1(f329(f329(f331(f913(x93851,a900)),f807(x93853,x93854,x93851,x93852)),x93854))+~P1(f329(f63(f913(x93851,a900)),x93854)) % 166.45/166.24 [9390]~P74(x93902)+~E(f329(x93903,f808(x93903,x93904,x93901,x93902)),f2(x93902))+E(f329(f329(f6(f913(x93901,a900),x93902),f329(f6(x93901,x93902),x93903)),x93904),f329(f329(f6(x93901,x93902),x93903),f39(f913(x93901,a900),x93904)))+P1(f329(f329(f331(f913(x93901,a900)),f807(x93903,x93904,x93901,x93902)),x93904))+~P1(f329(f63(f913(x93901,a900)),x93904)) % 166.45/166.24 [9491]~P74(x94912)+~P1(f329(f63(x94911),f807(x94913,x94914,x94911,x94912)))+E(f329(f329(f6(f913(x94911,a900),x94912),f329(f6(x94911,x94912),x94913)),x94914),f329(f329(f6(x94911,x94912),x94913),f39(f913(x94911,a900),x94914)))+P1(f329(f329(f331(f913(x94911,a900)),f806(x94913,x94914,x94911,x94912)),x94914))+~P1(f329(f63(f913(x94911,a900)),x94914)) % 166.45/166.24 [9492]~P74(x94922)+~P1(f329(f63(x94921),f807(x94923,x94924,x94921,x94922)))+E(f329(f329(f6(f913(x94921,a900),x94922),f329(f6(x94921,x94922),x94923)),x94924),f329(f329(f6(x94921,x94922),x94923),f39(f913(x94921,a900),x94924)))+P1(f329(f329(f331(f913(x94921,a900)),f805(x94923,x94924,x94921,x94922)),x94924))+~P1(f329(f63(f913(x94921,a900)),x94924)) % 166.45/166.24 [9570]~P74(x95702)+E(f329(f329(f6(f913(x95701,a900),x95702),f329(f6(x95701,x95702),x95703)),x95704),f329(f329(f6(x95701,x95702),x95703),f39(f913(x95701,a900),x95704)))+P1(f329(f329(f331(f913(x95701,a900)),f807(x95703,x95704,x95701,x95702)),x95704))+P1(f329(f329(f331(f913(x95701,a900)),f806(x95703,x95704,x95701,x95702)),x95704))+~P1(f329(f63(f913(x95701,a900)),x95704)) % 166.45/166.24 [9571]~P74(x95712)+E(f329(f329(f6(f913(x95711,a900),x95712),f329(f6(x95711,x95712),x95713)),x95714),f329(f329(f6(x95711,x95712),x95713),f39(f913(x95711,a900),x95714)))+P1(f329(f329(f331(f913(x95711,a900)),f807(x95713,x95714,x95711,x95712)),x95714))+P1(f329(f329(f331(f913(x95711,a900)),f805(x95713,x95714,x95711,x95712)),x95714))+~P1(f329(f63(f913(x95711,a900)),x95714)) % 166.45/166.24 [9589]~P74(x95892)+P1(f329(f329(f331(x95891),f808(x95893,x95894,x95891,x95892)),f806(x95893,x95894,x95891,x95892)))+~P1(f329(f63(x95891),f807(x95893,x95894,x95891,x95892)))+E(f329(f329(f6(f913(x95891,a900),x95892),f329(f6(x95891,x95892),x95893)),x95894),f329(f329(f6(x95891,x95892),x95893),f39(f913(x95891,a900),x95894)))+~P1(f329(f63(f913(x95891,a900)),x95894)) % 166.45/166.24 [9590]~P74(x95902)+P1(f329(f329(f331(x95901),f808(x95903,x95904,x95901,x95902)),f805(x95903,x95904,x95901,x95902)))+~P1(f329(f63(x95901),f807(x95903,x95904,x95901,x95902)))+E(f329(f329(f6(f913(x95901,a900),x95902),f329(f6(x95901,x95902),x95903)),x95904),f329(f329(f6(x95901,x95902),x95903),f39(f913(x95901,a900),x95904)))+~P1(f329(f63(f913(x95901,a900)),x95904)) % 166.45/166.24 [9603]P1(f329(x96031,x96032))+~P1(f329(f329(f331(x96033),f871(x96031,x96034,x96032,x96033)),f861(x96031,x96034,x96032,x96033)))+~P1(f329(f63(x96033),x96032))+~P1(f329(x96031,f191(f913(x96033,a900))))+~P1(f329(f329(f239(f913(x96033,a900)),x96032),x96034)) % 166.45/166.24 [9641]~P74(x96412)+P1(f329(f329(f331(x96411),f808(x96413,x96414,x96411,x96412)),f806(x96413,x96414,x96411,x96412)))+E(f329(f329(f6(f913(x96411,a900),x96412),f329(f6(x96411,x96412),x96413)),x96414),f329(f329(f6(x96411,x96412),x96413),f39(f913(x96411,a900),x96414)))+P1(f329(f329(f331(f913(x96411,a900)),f807(x96413,x96414,x96411,x96412)),x96414))+~P1(f329(f63(f913(x96411,a900)),x96414)) % 166.45/166.24 [9642]~P74(x96422)+P1(f329(f329(f331(x96421),f808(x96423,x96424,x96421,x96422)),f805(x96423,x96424,x96421,x96422)))+E(f329(f329(f6(f913(x96421,a900),x96422),f329(f6(x96421,x96422),x96423)),x96424),f329(f329(f6(x96421,x96422),x96423),f39(f913(x96421,a900),x96424)))+P1(f329(f329(f331(f913(x96421,a900)),f807(x96423,x96424,x96421,x96422)),x96424))+~P1(f329(f63(f913(x96421,a900)),x96424)) % 166.45/166.24 [9818]P1(f329(x98181,x98182))+~P1(f329(f63(x98183),x98182))+~P1(f329(x98181,f329(f329(f311(x98183),f871(x98181,x98184,x98182,x98183)),f861(x98181,x98184,x98182,x98183))))+~P1(f329(x98181,f191(f913(x98183,a900))))+~P1(f329(f329(f239(f913(x98183,a900)),x98182),x98184)) % 166.45/166.24 [7827]~P72(x78271)+P1(f329(f329(f240(x78271),x78272),f2(x78271)))+~P1(f329(f329(f239(x78271),f2(x78271)),x78274))+P1(f329(f329(f240(x78271),f2(x78271)),x78272))+P1(f329(f329(f239(x78271),f329(f329(f292(x78271),x78273),x78272)),x78274)) % 166.45/166.24 [7828]~P72(x78281)+P1(f329(f329(f240(x78281),x78282),f2(x78281)))+P1(f329(f329(f240(x78281),f2(x78281)),x78282))+~P1(f329(f329(f240(x78281),f2(x78281)),x78284))+P1(f329(f329(f240(x78281),f329(f329(f292(x78281),x78283),x78282)),x78284)) % 166.45/166.24 [8050]~P4(x80501)+~P40(x80501,x80501,x80504)+~E(x80503,f101(x80501,x80504))+P1(f329(f329(f239(x80501),x80502),x80503))+~P1(f329(f329(f239(x80501),x80502),f329(x80504,f329(f329(f115(x80501),x80502),x80503)))) % 166.45/166.24 [8119]~P1(f329(f329(f239(a1),x81194),f2(a1)))+~E(x81192,f329(f329(f82(a1),f329(f329(f83(a1),x81191),x81193)),x81194))+P1(f329(f329(f240(a1),f2(a1)),x81191))+~P1(f329(f329(f240(a1),x81191),x81194))+P1(f329(f51(x81192,x81191),f329(f329(f257(a1,a1),x81193),x81194))) % 166.45/166.24 [8158]~P1(f329(x81581,x81584))+P1(f329(x81581,f383(x81582,x81581,x81583)))+~P1(f329(f329(f239(a1),f2(a1)),x81582))+~P1(f329(f329(f240(a1),f2(a1)),x81583))+P1(f329(x81581,f329(f329(f23(a1),x81584),f329(f329(f83(a1),x81582),x81583)))) % 166.45/166.24 [8159]~P1(f329(x81591,x81594))+P1(f329(x81591,f385(x81592,x81591,x81593)))+~P1(f329(f329(f239(a1),f2(a1)),x81592))+~P1(f329(f329(f240(a1),f2(a1)),x81593))+P1(f329(x81591,f329(f329(f82(a1),x81594),f329(f329(f83(a1),x81592),x81593)))) % 166.45/166.24 [8160]~P72(x81601)+P1(f329(f329(f240(x81601),x81602),f2(x81601)))+P1(f329(f329(f240(x81601),f2(x81601)),x81602))+P1(f329(f329(f239(x81601),f2(x81601)),x81603))+~P1(f329(f329(f239(x81601),f329(f329(f292(x81601),x81604),x81602)),x81603)) % 166.45/166.24 [8161]~P72(x81611)+P1(f329(f329(f240(x81611),x81612),f2(x81611)))+P1(f329(f329(f240(x81611),f2(x81611)),x81612))+P1(f329(f329(f240(x81611),f2(x81611)),x81613))+~P1(f329(f329(f240(x81611),f329(f329(f292(x81611),x81614),x81612)),x81613)) % 166.45/166.24 [8213]~E(x82131,f329(f329(f82(a1),f329(f329(f83(a1),x82132),x82133)),x82134))+~P1(f329(f329(f239(a1),f2(a1)),x82134))+~P1(f329(f329(f240(a1),f2(a1)),x82132))+~P1(f329(f329(f240(a1),x82134),x82132))+P1(f329(f51(x82131,x82132),f329(f329(f257(a1,a1),x82133),x82134))) % 166.45/166.24 [8329]~P72(x83291)+P1(f329(f329(f240(x83291),x83292),f2(x83291)))+~P1(f329(f329(f239(x83291),f2(x83291)),x83294))+~P1(f329(f329(f239(x83291),x83293),f329(f329(f83(x83291),x83294),x83292)))+P1(f329(f329(f239(x83291),f329(f329(f292(x83291),x83293),x83292)),x83294)) % 166.45/166.24 [8330]~P72(x83301)+P1(f329(f329(f240(x83301),x83302),f2(x83301)))+~P1(f329(f329(f240(x83301),f2(x83301)),x83304))+~P1(f329(f329(f240(x83301),x83303),f329(f329(f83(x83301),x83304),x83302)))+P1(f329(f329(f240(x83301),f329(f329(f292(x83301),x83303),x83302)),x83304)) % 166.45/166.24 [8415]~P72(x84151)+P1(f329(f329(f240(x84151),x84152),f2(x84151)))+~P1(f329(f329(f239(x84151),x84153),f2(x84151)))+P1(f329(f329(f239(x84151),x84153),f329(f329(f292(x84151),x84154),x84152)))+~P1(f329(f329(f239(x84151),f329(f329(f83(x84151),x84153),x84152)),x84154)) % 166.45/166.24 [8416]~P72(x84161)+P1(f329(f329(f240(x84161),x84162),f2(x84161)))+~P1(f329(f329(f240(x84161),x84163),f2(x84161)))+P1(f329(f329(f240(x84161),x84163),f329(f329(f292(x84161),x84164),x84162)))+~P1(f329(f329(f240(x84161),f329(f329(f83(x84161),x84163),x84162)),x84164)) % 166.45/166.24 [8574]~P72(x85741)+~P1(f329(f329(f240(x85741),x85742),f2(x85741)))+P1(f329(f329(f240(x85741),f2(x85741)),x85742))+~P1(f329(f329(f239(x85741),f329(f329(f292(x85741),x85744),x85742)),x85743))+P1(f329(f329(f239(x85741),f329(f329(f83(x85741),x85743),x85742)),x85744)) % 166.45/166.24 [8575]~P72(x85751)+~P1(f329(f329(f240(x85751),x85752),f2(x85751)))+P1(f329(f329(f240(x85751),f2(x85751)),x85752))+~P1(f329(f329(f239(x85751),f329(f329(f83(x85751),x85754),x85752)),x85753))+P1(f329(f329(f239(x85751),f329(f329(f292(x85751),x85753),x85752)),x85754)) % 166.45/166.24 [8576]~P72(x85761)+~P1(f329(f329(f240(x85761),x85762),f2(x85761)))+P1(f329(f329(f240(x85761),f2(x85761)),x85762))+~P1(f329(f329(f240(x85761),f329(f329(f292(x85761),x85764),x85762)),x85763))+P1(f329(f329(f240(x85761),f329(f329(f83(x85761),x85763),x85762)),x85764)) % 166.45/166.24 [8577]~P72(x85771)+~P1(f329(f329(f240(x85771),x85772),f2(x85771)))+P1(f329(f329(f240(x85771),f2(x85771)),x85772))+~P1(f329(f329(f240(x85771),f329(f329(f83(x85771),x85774),x85772)),x85773))+P1(f329(f329(f240(x85771),f329(f329(f292(x85771),x85773),x85772)),x85774)) % 166.45/166.24 [8596]~P72(x85961)+~P1(f329(f329(f239(x85961),f2(x85961)),x85964))+P1(f329(f329(f240(x85961),f2(x85961)),x85962))+~P1(f329(f329(f239(x85961),f329(f329(f83(x85961),x85964),x85962)),x85963))+P1(f329(f329(f239(x85961),f329(f329(f292(x85961),x85963),x85962)),x85964)) % 166.45/166.24 [8597]~P72(x85971)+~P1(f329(f329(f240(x85971),f2(x85971)),x85974))+P1(f329(f329(f240(x85971),f2(x85971)),x85972))+~P1(f329(f329(f240(x85971),f329(f329(f83(x85971),x85974),x85972)),x85973))+P1(f329(f329(f240(x85971),f329(f329(f292(x85971),x85973),x85972)),x85974)) % 166.45/166.24 [8676]~P72(x86761)+~P1(f329(f329(f240(x86761),x86764),f2(x86761)))+~P1(f329(f329(f239(x86761),x86763),f329(f329(f83(x86761),x86762),x86764)))+P1(f329(f329(f239(x86761),x86762),f329(f329(f292(x86761),x86763),x86764)))+~P1(f329(f329(f239(x86761),f329(f329(f83(x86761),x86762),x86764)),x86763)) % 166.45/166.24 [8677]~P72(x86771)+~P1(f329(f329(f239(x86771),x86772),f2(x86771)))+~P1(f329(f329(f239(x86771),x86773),f329(f329(f83(x86771),x86772),x86774)))+P1(f329(f329(f239(x86771),x86772),f329(f329(f292(x86771),x86773),x86774)))+~P1(f329(f329(f239(x86771),f329(f329(f83(x86771),x86772),x86774)),x86773)) % 166.45/166.24 [8678]~P72(x86781)+~P1(f329(f329(f240(x86781),x86784),f2(x86781)))+~P1(f329(f329(f240(x86781),x86783),f329(f329(f83(x86781),x86782),x86784)))+P1(f329(f329(f240(x86781),x86782),f329(f329(f292(x86781),x86783),x86784)))+~P1(f329(f329(f240(x86781),f329(f329(f83(x86781),x86782),x86784)),x86783)) % 166.45/166.24 [8679]~P72(x86791)+~P1(f329(f329(f240(x86791),x86792),f2(x86791)))+~P1(f329(f329(f240(x86791),x86793),f329(f329(f83(x86791),x86792),x86794)))+P1(f329(f329(f240(x86791),x86792),f329(f329(f292(x86791),x86793),x86794)))+~P1(f329(f329(f240(x86791),f329(f329(f83(x86791),x86792),x86794)),x86793)) % 166.45/166.24 [8792]~P72(x87921)+~P1(f329(f329(f240(x87921),x87923),f2(x87921)))+~P1(f329(f329(f239(x87921),x87922),f329(f329(f83(x87921),x87924),x87923)))+~P1(f329(f329(f239(x87921),f329(f329(f83(x87921),x87924),x87923)),x87922))+P1(f329(f329(f239(x87921),f329(f329(f292(x87921),x87922),x87923)),x87924)) % 166.45/166.24 [8793]~P72(x87931)+~P1(f329(f329(f240(x87931),x87933),f2(x87931)))+~P1(f329(f329(f240(x87931),x87932),f329(f329(f83(x87931),x87934),x87933)))+~P1(f329(f329(f240(x87931),f329(f329(f83(x87931),x87934),x87933)),x87932))+P1(f329(f329(f240(x87931),f329(f329(f292(x87931),x87932),x87933)),x87934)) % 166.45/166.24 [8809]~P72(x88091)+~P1(f329(f329(f239(x88091),f2(x88091)),x88094))+~P1(f329(f329(f239(x88091),x88092),f329(f329(f83(x88091),x88094),x88093)))+~P1(f329(f329(f239(x88091),f329(f329(f83(x88091),x88094),x88093)),x88092))+P1(f329(f329(f239(x88091),f329(f329(f292(x88091),x88092),x88093)),x88094)) % 166.45/166.24 [8810]~P72(x88101)+~P1(f329(f329(f240(x88101),f2(x88101)),x88104))+~P1(f329(f329(f240(x88101),x88102),f329(f329(f83(x88101),x88104),x88103)))+~P1(f329(f329(f240(x88101),f329(f329(f83(x88101),x88104),x88103)),x88102))+P1(f329(f329(f240(x88101),f329(f329(f292(x88101),x88102),x88103)),x88104)) % 166.45/166.24 [8984]E(f329(f329(f23(a1),f377(x89841,x89842,x89843,x89844)),f378(x89841,x89842,x89843,x89844)),x89844)+~P1(f329(f329(f240(a1),f2(a1)),x89843))+~P1(f329(f329(f331(a1),x89842),x89841))+~P1(f329(f329(f240(a1),x89844),x89842))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x89844),x89843)),x89842)) % 166.45/166.24 [9061]~P1(f329(x90611,x90612))+~P1(f329(f329(f239(a1),f2(a1)),x90613))+~P1(f329(f329(f240(a1),f2(a1)),x90614))+~P1(f329(x90611,f329(f329(f23(a1),f383(x90613,x90611,x90614)),x90614)))+P1(f329(x90611,f329(f329(f23(a1),x90612),f329(f329(f83(a1),x90613),x90614)))) % 166.45/166.24 [9062]~P1(f329(x90621,x90622))+~P1(f329(f329(f239(a1),f2(a1)),x90623))+~P1(f329(f329(f240(a1),f2(a1)),x90624))+~P1(f329(x90621,f329(f329(f82(a1),f385(x90623,x90621,x90624)),x90624)))+P1(f329(x90621,f329(f329(f82(a1),x90622),f329(f329(f83(a1),x90623),x90624)))) % 166.45/166.24 [9215]~P1(f329(f329(f240(a1),f2(a1)),x92153))+~P1(f329(f329(f331(a1),x92152),x92151))+~P1(f329(f329(f240(a1),x92154),x92152))+P1(f329(f329(f331(a1),f377(x92151,x92152,x92153,x92154)),x92151))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92154),x92153)),x92152)) % 166.45/166.24 [9235]E(f329(f329(f23(a1),f360(x92351,x92352,x92353,x92354)),f361(x92351,x92352,x92353,x92354)),x92354)+~P1(f329(f329(f240(a1),f2(a1)),x92353))+~P1(f329(f329(f239(a1),x92354),x92352))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x92352),f80(a1))),x92351))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x92354),x92353)),x92352)) % 166.45/166.24 [9269]~P1(f329(f329(f240(a1),f2(a1)),x92692))+~P1(f329(f329(f331(a1),x92693),x92694))+~P1(f329(f329(f240(a1),x92691),x92693))+P1(f329(f329(f331(a1),f378(x92694,x92693,x92692,x92691)),f305(a1,f80(a1),x92692)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92691),x92692)),x92693)) % 166.45/166.24 [9356]~P1(f329(f329(f240(a1),f2(a1)),x93563))+~P1(f329(f329(f239(a1),x93564),x93562))+P1(f329(f329(f331(a1),f360(x93561,x93562,x93563,x93564)),x93561))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x93562),f80(a1))),x93561))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x93564),x93563)),x93562)) % 166.45/166.24 [9401]~P1(f329(f329(f240(a1),f2(a1)),x94012))+~P1(f329(f329(f239(a1),x94011),x94013))+P1(f329(f329(f331(a1),f361(x94014,x94013,x94012,x94011)),f305(a1,f80(a1),x94012)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x94013),f80(a1))),x94014))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x94011),x94012)),x94013)) % 166.45/166.24 [9694]~P37(x96941,x96943)+~P26(x96941,x96944)+P37(x96941,f329(f329(f115(f913(f912(x96941,x96941),a900)),x96942),x96943))+~P1(f329(f329(f239(f913(f912(x96941,x96941),a900)),x96942),f329(f256(f913(f912(x96941,x96941),a900),f913(f912(x96941,x96941),a900)),x96944)))+~P1(f329(f329(f239(f913(f912(x96941,x96941),a900)),x96943),f329(f261(f913(f912(x96941,x96941),a900),f913(f912(x96941,x96941),a900)),x96944))) % 166.45/166.24 [10073]~P17(x100732,x100734,x100733)+E(x100731,f191(f913(x100732,a900)))+~P1(f329(f63(x100732),x100731))+P1(f329(f329(f331(x100732),f329(x100733,x100731)),x100731))+~P1(f329(f329(f331(x100732),f329(f329(x100734,f856(x100731,x100733,x100734,x100732)),f857(x100731,x100733,x100734,x100732))),f329(f329(f311(x100732),f856(x100731,x100733,x100734,x100732)),f329(f329(f311(x100732),f857(x100731,x100733,x100734,x100732)),f191(f913(x100732,a900)))))) % 166.45/166.24 [8703]~P4(x87031)+~P40(x87031,x87031,x87034)+~E(x87032,f100(x87031,x87034))+P1(f329(f329(f239(x87031),x87032),x87033))+~P1(f329(f329(f239(x87031),f329(x87034,f329(f329(f106(x87031),x87032),x87033))),x87033)) % 166.45/166.24 [10008]~P112(x100082)+~P3(x100081)+~P1(f329(f329(f239(f913(x100081,x100082)),x100083),x100084))+P1(f329(f329(f240(f913(x100081,x100082)),x100083),x100084))+~P1(f329(f58(x100081),f329(f329(f8(a900,a900,x100081),a324),f329(f329(f18(x100081,x100082,a900),f329(f329(f8(x100082,f913(x100082,a900),x100081),a326),x100083)),x100084)))) % 166.45/166.24 [9609]~P57(x96091,x96091,x96094)+P1(f329(f329(f331(f912(x96091,x96091)),f329(f329(f257(x96091,x96091),x96092),x96093)),f309(x96091,x96094)))+P1(f329(f329(f331(f912(x96091,x96091)),f329(f329(f257(x96091,x96091),x96093),x96092)),f309(x96091,x96094)))+~P1(f329(f329(f331(f912(x96091,x96091)),f329(f329(f257(x96091,x96091),x96095),x96092)),f309(x96091,x96094)))+~P1(f329(f329(f331(f912(x96091,x96091)),f329(f329(f257(x96091,x96091),x96095),x96093)),f309(x96091,x96094))) % 166.45/166.24 [5720]E(x57201,f2(a905))+~E(f329(f37(x57202),x57205),x57201)+E(f329(f37(x57202),x57203),f329(a117,x57201))+~E(x57203,f329(f329(f311(x57202),x57204),x57205))+P1(f329(f329(f331(x57202),x57204),x57205)) % 166.45/166.24 [5843]~P71(x58432)+E(x58431,f2(x58432))+E(x58433,f2(x58432))+~E(f329(f329(f292(x58432),x58434),x58433),f329(f329(f292(x58432),x58435),x58431))+E(f329(f329(f83(x58432),x58434),x58431),f329(f329(f83(x58432),x58435),x58433)) % 166.45/166.24 [5844]~P71(x58442)+E(x58441,f2(x58442))+E(x58443,f2(x58442))+~E(f329(f329(f83(x58442),x58444),x58443),f329(f329(f83(x58442),x58445),x58441))+E(f329(f329(f292(x58442),x58444),x58441),f329(f329(f292(x58442),x58445),x58443)) % 166.45/166.24 [5911]~E(f329(f37(x59111),x59115),x59113)+~E(x59115,f191(f913(x59111,a900)))+E(f329(f37(x59111),x59112),f329(a117,x59113))+~E(x59112,f329(f329(f311(x59111),x59114),x59115))+P1(f329(f329(f331(x59111),x59114),x59115)) % 166.45/166.24 [6149]~P118(x61492)+~E(f329(x61493,x61495),f2(x61492))+E(f329(f329(f9(x61491,x61492),x61493),x61494),f2(x61492))+~P1(f329(f63(x61491),x61494))+~P1(f329(f329(f331(x61491),x61495),x61494)) % 166.45/166.24 [6522]~P105(x65223)+E(x65221,x65222)+~E(f329(f304(x65223,x65224),x65221),f329(f304(x65223,x65225),x65222))+~P1(f329(f329(f240(x65223),x65225),x65222))+~P1(f329(f329(f240(x65223),x65224),x65221)) % 166.45/166.24 [6523]~P105(x65233)+E(x65231,x65232)+~E(f329(f304(x65233,x65231),x65234),f329(f304(x65233,x65232),x65235))+~P1(f329(f329(f240(x65233),x65232),x65235))+~P1(f329(f329(f240(x65233),x65231),x65234)) % 166.45/166.24 [6691]~P112(x66911)+~P40(x66915,x66911,x66912)+~P112(x66915)+P1(f329(f329(f239(x66911),f329(x66912,x66913)),f329(x66912,x66914)))+~P1(f329(f329(f239(x66915),x66913),x66914)) % 166.45/166.24 [7593]~P105(x75931)+~P12(x75931,f329(f329(f137(x75931),x75934),x75935))+~P1(f329(f329(f331(x75931),x75933),f329(f175(x75931),x75935)))+~P1(f329(f329(f331(x75931),x75932),f329(f175(x75931),x75934)))+P1(f329(f329(f239(x75931),x75932),x75933)) % 166.45/166.24 [8712]~P112(x87121)+~P1(f329(f329(f240(f913(x87121,a900)),f305(x87121,x87125,x87122)),f305(x87121,x87124,x87123)))+~P1(f329(f329(f239(x87121),x87125),x87122))+P1(f329(f329(f240(x87121),x87122),x87123))+P1(f329(f329(f240(x87121),x87124),x87125)) % 166.45/166.24 [9731]~P40(f913(x97314,a900),f913(x97314,a900),x97315)+P1(f329(x97311,x97312))+~E(x97313,f100(f913(x97314,a900),x97315))+~P1(f329(x97311,f415(x97311,x97312,x97315,x97314,x97313)))+~P1(f329(f329(f331(x97314),x97312),x97313)) % 166.45/166.24 [10116]~P16(x101162,x101165,x101163)+E(x101161,f191(f913(x101162,a900)))+~E(f329(f329(x101165,f329(x101164,f873(x101161,x101164,x101163,x101165,x101162))),f329(x101164,f874(x101161,x101164,x101163,x101165,x101162))),f329(x101164,f329(f329(x101165,f873(x101161,x101164,x101163,x101165,x101162)),f874(x101161,x101164,x101163,x101165,x101162))))+E(f329(x101163,f329(f312(x101162,x101162,x101164),x101161)),f329(x101164,f329(x101163,x101161)))+~P1(f329(f63(x101162),x101161)) % 166.45/166.24 [6519]~P17(x65192,x65195,x65193)+E(x65191,f191(f913(x65192,a900)))+~P1(f329(f63(x65192),x65191))+E(f329(x65193,f329(f329(f311(x65192),x65194),x65191)),f329(f329(x65195,x65194),f329(x65193,x65191)))+P1(f329(f329(f331(x65192),x65194),x65191)) % 166.45/166.24 [7342]~P16(x73422,x73423,x73424)+E(f329(f329(x73423,f329(x73424,x73421)),f329(x73424,x73425)),f329(x73424,x73425))+E(x73421,f191(f913(x73422,a900)))+~P1(f329(f63(x73422),x73425))+~P1(f329(f329(f239(f913(x73422,a900)),x73421),x73425)) % 166.45/166.24 [7725]~P17(x77254,x77255,x77251)+E(f329(x77251,x77252),x77253)+~P1(f329(f63(x77254),x77252))+~E(f329(f329(f23(f913(x77254,a900)),x77252),f329(f329(f311(x77254),x77253),f191(f913(x77254,a900)))),f191(f913(x77254,a900)))+~P1(f329(f329(f331(x77254),x77253),x77252)) % 166.45/166.24 [8683]E(x86831,x86832)+~P7(x86833,x86834,x86835)+E(f329(f329(f106(f913(x86833,a900)),x86831),x86832),f191(f913(x86833,a900)))+~P1(f329(f329(f331(f913(x86833,a900)),x86832),f329(f329(f62(x86833),x86834),x86835)))+~P1(f329(f329(f331(f913(x86833,a900)),x86831),f329(f329(f62(x86833),x86834),x86835))) % 166.45/166.24 [9484]~P74(x94842)+~E(f329(x94843,f859(x94843,x94844,x94845,x94841,x94842)),f2(x94842))+E(f329(f329(f6(x94841,x94842),x94843),x94844),f329(f329(f6(x94841,x94842),x94843),x94845))+~P1(f329(f63(x94841),x94845))+~P1(f329(f329(f239(f913(x94841,a900)),x94844),x94845)) % 166.45/166.24 [9485]~P74(x94852)+~E(f329(x94853,f860(x94853,x94854,x94855,x94851,x94852)),f2(x94852))+E(f329(f329(f6(x94851,x94852),x94853),x94854),f329(f329(f6(x94851,x94852),x94853),x94855))+~P1(f329(f63(x94851),x94855))+~P1(f329(f329(f239(f913(x94851,a900)),x94854),x94855)) % 166.45/166.24 [9486]~P80(x94862)+~E(f329(x94863,f469(x94863,x94864,x94865,x94861,x94862)),f80(x94862))+E(f329(f329(f9(x94861,x94862),x94863),x94864),f329(f329(f9(x94861,x94862),x94863),x94865))+~P1(f329(f63(x94861),x94865))+~P1(f329(f329(f239(f913(x94861,a900)),x94864),x94865)) % 166.45/166.24 [9487]~P80(x94872)+~E(f329(x94873,f477(x94873,x94874,x94875,x94871,x94872)),f80(x94872))+E(f329(f329(f9(x94871,x94872),x94873),x94874),f329(f329(f9(x94871,x94872),x94873),x94875))+~P1(f329(f63(x94871),x94875))+~P1(f329(f329(f239(f913(x94871,a900)),x94874),x94875)) % 166.45/166.24 [9908]~P40(f913(x99081,a900),f913(x99081,a900),f329(f329(f8(f913(x99081,a900),f913(x99081,a900),f913(x99081,a900)),f267(x99081)),x99084))+~P1(f329(f329(x99084,f329(f329(f115(f913(x99081,a900)),x99085),x99083)),f418(x99085,x99082,x99084,x99081,x99083)))+~E(x99083,f101(f913(x99081,a900),f329(f329(f8(f913(x99081,a900),f913(x99081,a900),f913(x99081,a900)),f267(x99081)),x99084)))+P1(f329(f329(f331(x99081),x99082),x99083))+~P1(f329(f329(f331(x99081),x99082),x99085)) % 166.45/166.24 [9912]~P40(f913(x99121,a900),f913(x99121,a900),f329(f329(f8(f913(x99121,a900),f913(x99121,a900),f913(x99121,a900)),f267(x99121)),x99125))+~E(x99123,f101(f913(x99121,a900),f329(f329(f8(f913(x99121,a900),f913(x99121,a900),f913(x99121,a900)),f267(x99121)),x99125)))+~P1(f329(f329(f331(x99121),x99122),x99124))+P1(f329(f329(f331(x99121),f418(x99124,x99122,x99125,x99121,x99123)),x99124))+P1(f329(f329(f331(x99121),x99122),x99123)) % 166.45/166.24 [9963]~P90(x99631)+~P1(f329(f63(x99632),x99635))+~P1(f329(f329(f239(x99631),f2(x99631)),f329(x99633,f834(x99633,x99634,x99635,x99632,x99631))))+P1(f329(f329(f239(x99631),f329(f329(f6(x99632,x99631),x99633),x99634)),f329(f329(f6(x99632,x99631),x99633),x99635)))+~P1(f329(f329(f239(f913(x99632,a900)),x99634),x99635)) % 166.45/166.24 [7590]E(x75901,f2(a905))+P1(f329(x75902,x75903))+~E(x75904,f329(f329(f82(a905),f329(f329(f83(a905),x75901),x75903)),x75905))+~P1(f329(f329(f240(a905),x75905),x75901))+~P1(f329(x75902,f329(f329(f38(a905),x75904),x75901))) % 166.45/166.24 [7665]E(x76651,f2(a905))+P1(f329(x76652,x76653))+~P1(f329(x76652,f47(a905,x76654,x76651)))+~E(x76654,f329(f329(f82(a905),f329(f329(f83(a905),x76651),x76655)),x76653))+~P1(f329(f329(f240(a905),x76653),x76651)) % 166.45/166.24 [7963]~P71(x79633)+E(f329(x79631,x79632),f2(x79633))+~P1(f329(f63(x79634),x79635))+E(f329(f329(f9(x79634,x79633),x79631),f329(f329(f23(f913(x79634,a900)),x79635),f329(f329(f311(x79634),x79632),f191(f913(x79634,a900))))),f329(f329(f9(x79634,x79633),x79631),x79635))+P1(f329(f329(f331(x79634),x79632),x79635)) % 166.45/166.24 [8369]~P74(x83691)+~P1(f329(f63(x83692),x83695))+~P1(f329(f63(x83692),x83694))+~E(f329(f329(f106(f913(x83692,a900)),x83694),x83695),f191(f913(x83692,a900)))+E(f329(f329(f82(x83691),f329(f329(f6(x83692,x83691),x83693),x83694)),f329(f329(f6(x83692,x83691),x83693),x83695)),f329(f329(f6(x83692,x83691),x83693),f329(f329(f115(f913(x83692,a900)),x83694),x83695))) % 166.45/166.24 [8371]~P80(x83711)+~P1(f329(f63(x83712),x83715))+~P1(f329(f63(x83712),x83714))+~E(f329(f329(f106(f913(x83712,a900)),x83714),x83715),f191(f913(x83712,a900)))+E(f329(f329(f83(x83711),f329(f329(f9(x83712,x83711),x83713),x83714)),f329(f329(f9(x83712,x83711),x83713),x83715)),f329(f329(f9(x83712,x83711),x83713),f329(f329(f115(f913(x83712,a900)),x83714),x83715))) % 166.45/166.24 [8470]~P71(x84703)+E(f329(x84701,x84702),f2(x84703))+~P1(f329(f63(x84704),x84705))+E(f329(f329(f9(x84704,x84703),x84701),f329(f329(f23(f913(x84704,a900)),x84705),f329(f329(f311(x84704),x84702),f191(f913(x84704,a900))))),f329(f329(f292(x84703),f329(f329(f9(x84704,x84703),x84701),x84705)),f329(x84701,x84702)))+~P1(f329(f329(f331(x84704),x84702),x84705)) % 166.45/166.24 [9192]~P7(x91921,x91925,x91924)+~E(f329(f329(f62(x91921),f329(f329(f311(x91921),x91922),f191(f913(x91921,a900)))),x91924),f329(f329(f62(x91921),f329(f329(f311(x91921),x91923),f191(f913(x91921,a900)))),x91924))+~P1(f329(f329(f331(x91921),x91923),x91925))+~P1(f329(f329(f331(x91921),x91922),x91925))+P1(f329(f329(f331(f912(x91921,x91921)),f329(f329(f257(x91921,x91921),x91922),x91923)),x91924)) % 166.45/166.24 [9214]~P7(x92141,x92145,x92143)+E(f329(f329(f62(x92141),f329(f329(f311(x92141),x92142),f191(f913(x92141,a900)))),x92143),f329(f329(f62(x92141),f329(f329(f311(x92141),x92144),f191(f913(x92141,a900)))),x92143))+~P1(f329(f329(f331(x92141),x92144),x92145))+~P1(f329(f329(f331(x92141),x92142),x92145))+~P1(f329(f329(f331(f912(x92141,x92141)),f329(f329(f257(x92141,x92141),x92142),x92144)),x92143)) % 166.45/166.24 [9512]~P80(x95121)+~P1(f329(f63(x95122),x95125))+~P1(f329(f63(x95122),x95124))+~E(f329(f329(f106(f913(x95122,a900)),x95124),x95125),f191(f913(x95122,a900)))+E(f329(f329(f83(x95121),f329(f329(f329(f67(x95121,x95122,f83(x95121)),x95123),f80(x95121)),x95124)),f329(f329(f329(f67(x95121,x95122,f83(x95121)),x95123),f80(x95121)),x95125)),f329(f329(f329(f67(x95121,x95122,f83(x95121)),x95123),f80(x95121)),f329(f329(f115(f913(x95122,a900)),x95124),x95125))) % 166.45/166.24 [9521]~P74(x95211)+~E(f329(x95213,f882(x95213,x95215,x95214,x95212,x95211)),f2(x95211))+~P1(f329(f63(x95212),x95214))+~P1(f329(f63(x95212),x95215))+E(f329(f329(f82(x95211),f329(f329(f6(x95212,x95211),x95213),x95214)),f329(f329(f6(x95212,x95211),x95213),x95215)),f329(f329(f6(x95212,x95211),x95213),f329(f329(f115(f913(x95212,a900)),x95214),x95215))) % 166.45/166.24 [9522]~P74(x95221)+~E(f329(x95223,f883(x95223,x95225,x95224,x95222,x95221)),f2(x95221))+~P1(f329(f63(x95222),x95224))+~P1(f329(f63(x95222),x95225))+E(f329(f329(f82(x95221),f329(f329(f6(x95222,x95221),x95223),x95224)),f329(f329(f6(x95222,x95221),x95223),x95225)),f329(f329(f6(x95222,x95221),x95223),f329(f329(f115(f913(x95222,a900)),x95224),x95225))) % 166.45/166.24 [9523]~P80(x95231)+~E(f329(x95233,f470(x95233,x95235,x95234,x95232,x95231)),f80(x95231))+~P1(f329(f63(x95232),x95234))+~P1(f329(f63(x95232),x95235))+E(f329(f329(f83(x95231),f329(f329(f9(x95232,x95231),x95233),x95234)),f329(f329(f9(x95232,x95231),x95233),x95235)),f329(f329(f9(x95232,x95231),x95233),f329(f329(f115(f913(x95232,a900)),x95234),x95235))) % 166.45/166.24 [9524]~P80(x95241)+~E(f329(x95243,f471(x95243,x95245,x95244,x95242,x95241)),f80(x95241))+~P1(f329(f63(x95242),x95244))+~P1(f329(f63(x95242),x95245))+E(f329(f329(f83(x95241),f329(f329(f9(x95242,x95241),x95243),x95244)),f329(f329(f9(x95242,x95241),x95243),x95245)),f329(f329(f9(x95242,x95241),x95243),f329(f329(f115(f913(x95242,a900)),x95244),x95245))) % 166.45/166.24 [9739]~P80(x97391)+~E(f329(x97393,f344(x97393,x97395,x97394,x97392,x97391)),f80(x97391))+~P1(f329(f63(x97392),x97394))+~P1(f329(f63(x97392),x97395))+E(f329(f329(f83(x97391),f329(f329(f329(f67(x97391,x97392,f83(x97391)),x97393),f80(x97391)),x97394)),f329(f329(f329(f67(x97391,x97392,f83(x97391)),x97393),f80(x97391)),x97395)),f329(f329(f329(f67(x97391,x97392,f83(x97391)),x97393),f80(x97391)),f329(f329(f115(f913(x97392,a900)),x97394),x97395))) % 166.45/166.24 [9849]~P74(x98492)+E(f329(f329(f6(x98491,x98492),x98493),x98494),f329(f329(f6(x98491,x98492),x98493),x98495))+~P1(f329(f63(x98491),x98495))+~P1(f329(f329(f239(f913(x98491,a900)),x98494),x98495))+P1(f329(f329(f331(x98491),f859(x98493,x98494,x98495,x98491,x98492)),f329(f329(f23(f913(x98491,a900)),x98495),x98494))) % 166.45/166.24 [9850]~P74(x98502)+E(f329(f329(f6(x98501,x98502),x98503),x98504),f329(f329(f6(x98501,x98502),x98503),x98505))+~P1(f329(f63(x98501),x98505))+~P1(f329(f329(f239(f913(x98501,a900)),x98504),x98505))+P1(f329(f329(f331(x98501),f860(x98503,x98504,x98505,x98501,x98502)),f329(f329(f23(f913(x98501,a900)),x98505),x98504))) % 166.45/166.24 [9851]~P80(x98512)+E(f329(f329(f9(x98511,x98512),x98513),x98514),f329(f329(f9(x98511,x98512),x98513),x98515))+~P1(f329(f63(x98511),x98515))+~P1(f329(f329(f239(f913(x98511,a900)),x98514),x98515))+P1(f329(f329(f331(x98511),f469(x98513,x98514,x98515,x98511,x98512)),f329(f329(f23(f913(x98511,a900)),x98515),x98514))) % 166.45/166.24 [9852]~P80(x98522)+E(f329(f329(f9(x98521,x98522),x98523),x98524),f329(f329(f9(x98521,x98522),x98523),x98525))+~P1(f329(f63(x98521),x98525))+~P1(f329(f329(f239(f913(x98521,a900)),x98524),x98525))+P1(f329(f329(f331(x98521),f477(x98523,x98524,x98525,x98521,x98522)),f329(f329(f23(f913(x98521,a900)),x98525),x98524))) % 166.45/166.24 [9870]~P74(x98701)+~P1(f329(f63(x98702),x98704))+~P1(f329(f63(x98702),x98705))+E(f329(f329(f82(x98701),f329(f329(f6(x98702,x98701),x98703),x98704)),f329(f329(f6(x98702,x98701),x98703),x98705)),f329(f329(f6(x98702,x98701),x98703),f329(f329(f115(f913(x98702,a900)),x98704),x98705)))+P1(f329(f329(f331(x98702),f882(x98703,x98705,x98704,x98702,x98701)),f329(f329(f106(f913(x98702,a900)),x98704),x98705))) % 166.45/166.24 [9871]~P74(x98711)+~P1(f329(f63(x98712),x98714))+~P1(f329(f63(x98712),x98715))+E(f329(f329(f82(x98711),f329(f329(f6(x98712,x98711),x98713),x98714)),f329(f329(f6(x98712,x98711),x98713),x98715)),f329(f329(f6(x98712,x98711),x98713),f329(f329(f115(f913(x98712,a900)),x98714),x98715)))+P1(f329(f329(f331(x98712),f883(x98713,x98715,x98714,x98712,x98711)),f329(f329(f106(f913(x98712,a900)),x98714),x98715))) % 166.45/166.24 [9872]~P80(x98721)+~P1(f329(f63(x98722),x98724))+~P1(f329(f63(x98722),x98725))+E(f329(f329(f83(x98721),f329(f329(f9(x98722,x98721),x98723),x98724)),f329(f329(f9(x98722,x98721),x98723),x98725)),f329(f329(f9(x98722,x98721),x98723),f329(f329(f115(f913(x98722,a900)),x98724),x98725)))+P1(f329(f329(f331(x98722),f470(x98723,x98725,x98724,x98722,x98721)),f329(f329(f106(f913(x98722,a900)),x98724),x98725))) % 166.45/166.24 [9873]~P80(x98731)+~P1(f329(f63(x98732),x98734))+~P1(f329(f63(x98732),x98735))+E(f329(f329(f83(x98731),f329(f329(f9(x98732,x98731),x98733),x98734)),f329(f329(f9(x98732,x98731),x98733),x98735)),f329(f329(f9(x98732,x98731),x98733),f329(f329(f115(f913(x98732,a900)),x98734),x98735)))+P1(f329(f329(f331(x98732),f471(x98733,x98735,x98734,x98732,x98731)),f329(f329(f106(f913(x98732,a900)),x98734),x98735))) % 166.45/166.24 [9876]~P40(f913(x98763,a900),f913(x98763,a900),x98764)+P1(f329(x98761,x98762))+~E(x98765,f100(f913(x98763,a900),x98764))+~P1(f329(f329(f331(x98763),x98762),x98765))+P1(f329(f329(f331(x98763),f415(x98761,x98762,x98764,x98763,x98765)),f329(x98764,f329(f329(f106(f913(x98763,a900)),x98765),f329(f267(x98763),x98761))))) % 166.45/166.24 [9880]~P90(x98805)+~P1(f329(f63(x98801),x98804))+P1(f329(f329(f239(x98805),f329(f329(f6(x98801,x98805),x98802),x98803)),f329(f329(f6(x98801,x98805),x98802),x98804)))+~P1(f329(f329(f239(f913(x98801,a900)),x98803),x98804))+P1(f329(f329(f331(x98801),f834(x98802,x98803,x98804,x98801,x98805)),f329(f329(f23(f913(x98801,a900)),x98804),x98803))) % 166.45/166.24 [9926]~P80(x99261)+~P1(f329(f63(x99262),x99264))+~P1(f329(f63(x99262),x99265))+E(f329(f329(f83(x99261),f329(f329(f329(f67(x99261,x99262,f83(x99261)),x99263),f80(x99261)),x99264)),f329(f329(f329(f67(x99261,x99262,f83(x99261)),x99263),f80(x99261)),x99265)),f329(f329(f329(f67(x99261,x99262,f83(x99261)),x99263),f80(x99261)),f329(f329(f115(f913(x99262,a900)),x99264),x99265)))+P1(f329(f329(f331(x99262),f344(x99263,x99265,x99264,x99262,x99261)),f329(f329(f106(f913(x99262,a900)),x99264),x99265))) % 166.45/166.24 [8876]~P17(x88761,x88764,x88765)+~P1(f329(f63(x88761),x88762))+E(f329(f329(f23(f913(x88761,a900)),x88762),f329(f329(f311(x88761),x88763),f191(f913(x88761,a900)))),f191(f913(x88761,a900)))+~P1(f329(f329(f331(x88761),x88763),x88762))+E(f329(f329(x88764,x88763),f329(x88765,f329(f329(f23(f913(x88761,a900)),x88762),f329(f329(f311(x88761),x88763),f191(f913(x88761,a900)))))),f329(x88765,x88762)) % 166.45/166.24 [8952]~P17(x89521,x89524,x89525)+~P1(f329(f63(x89521),x89523))+~P1(f329(f63(x89521),x89522))+E(f329(f329(f106(f913(x89521,a900)),x89522),x89523),f191(f913(x89521,a900)))+E(f329(f329(x89524,f329(x89525,f329(f329(f115(f913(x89521,a900)),x89522),x89523))),f329(x89525,f329(f329(f106(f913(x89521,a900)),x89522),x89523))),f329(f329(x89524,f329(x89525,x89522)),f329(x89525,x89523))) % 166.45/166.24 [9140]~P40(f913(x91401,a900),f913(x91401,a900),x91404)+~E(x91403,f101(f913(x91401,a900),x91404))+P1(f329(f329(f331(x91401),x91402),x91403))+~P1(f329(f329(f331(x91401),x91402),x91405))+~P1(f329(f329(f239(f913(x91401,a900)),x91405),f329(x91404,f329(f329(f115(f913(x91401,a900)),x91405),x91403)))) % 166.45/166.24 [9526]~P1(f329(f329(f239(a1),x95264),f2(a1)))+~P1(f329(f329(f240(a1),x95263),x95265))+P1(f329(f329(f239(a1),x95261),x95262))+~P1(f329(f329(f240(a1),x95263),x95264))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95263),x95262)),x95265)),f329(f329(f82(a1),f329(f329(f83(a1),x95263),x95261)),x95264))) % 166.45/166.24 [9528]~P1(f329(f329(f239(a1),f2(a1)),x95285))+P1(f329(f329(f239(a1),x95281),x95282))+~P1(f329(f329(f240(a1),x95283),x95284))+~P1(f329(f329(f240(a1),x95285),x95284))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95284),x95281)),x95285)),f329(f329(f82(a1),f329(f329(f83(a1),x95284),x95282)),x95283))) % 166.45/166.24 [9646]~P71(x96465)+E(f329(x96461,f473(x96461,x96462,x96463,x96464,x96465)),f2(x96465))+~P1(f329(f63(x96464),x96463))+~P1(f329(f63(x96464),x96462))+E(f329(f329(f292(x96465),f329(f329(f83(x96465),f329(f329(f9(x96464,x96465),x96461),x96463)),f329(f329(f9(x96464,x96465),x96461),x96462))),f329(f329(f9(x96464,x96465),x96461),f329(f329(f106(f913(x96464,a900)),x96463),x96462))),f329(f329(f9(x96464,x96465),x96461),f329(f329(f115(f913(x96464,a900)),x96463),x96462))) % 166.45/166.24 [9918]~P71(x99181)+~P1(f329(f63(x99182),x99184))+~P1(f329(f63(x99182),x99185))+E(f329(f329(f292(x99181),f329(f329(f83(x99181),f329(f329(f9(x99182,x99181),x99183),x99184)),f329(f329(f9(x99182,x99181),x99183),x99185))),f329(f329(f9(x99182,x99181),x99183),f329(f329(f106(f913(x99182,a900)),x99184),x99185))),f329(f329(f9(x99182,x99181),x99183),f329(f329(f115(f913(x99182,a900)),x99184),x99185)))+P1(f329(f329(f331(x99182),f473(x99183,x99185,x99184,x99182,x99181)),f329(f329(f106(f913(x99182,a900)),x99184),x99185))) % 166.45/166.24 [9234]E(f329(f329(f137(x92341),x92342),x92343),f329(f329(f137(x92341),x92344),x92345))+~E(f329(f329(f178(x92341),f329(f192(f906(x92341)),x92344)),x92342),x92344)+~E(f329(f329(f178(x92341),f329(f192(f906(x92341)),x92342)),x92344),x92342)+~E(x92345,f329(f329(f137(x92341),f329(f329(f141(x92341),f329(f192(f906(x92341)),x92344)),x92342)),x92343))+~E(f329(f329(f137(x92341),f329(f329(f141(x92341),f329(f192(f906(x92341)),x92342)),x92344)),x92345),x92343) % 166.45/166.24 [9644]~P105(x96442)+E(f329(f329(f151(x96441,x96442,x96443),x96444),f173(x96441,x96444,x96445)),x96445)+~P12(x96442,f329(f329(f157(x96441,x96442),x96443),x96445))+~P1(f329(f329(f331(x96441),x96444),f329(f175(x96441),x96445)))+~E(f329(f144(x96441),f329(f139(x96441,f329(f329(f8(x96442,a900,x96441),f329(a326,f329(x96443,x96444))),x96443)),x96445)),x96444) % 166.45/166.24 [9980]~P78(x99801)+~P1(f329(f68(x99801,x99801,f83(x99801),x99802,x99803),x99805))+~P1(f329(f329(f331(x99801),x99804),x99803))+P1(f329(f329(f331(x99801),x99802),x99803))+P1(f329(f68(x99801,x99801,f83(x99801),x99804,f329(f329(f311(x99801),x99802),f329(f329(f23(f913(x99801,a900)),x99803),f329(f329(f311(x99801),x99804),f191(f913(x99801,a900)))))),x99805)) % 166.45/166.24 [10325]~P40(f913(x103251,a900),f913(x103251,a900),x103254)+~E(x103253,f101(f913(x103251,a900),x103254))+P1(f329(f329(f331(x103251),x103252),x103253))+~P1(f329(f329(f331(x103251),x103252),x103255))+~P1(f329(f329(f239(f913(x103251,a900)),x103255),f329(x103254,f100(f913(x103251,a900),f329(f329(f7(f913(x103251,a900),f913(x103251,a900),f913(x103251,a900)),f329(f329(f8(f913(x103251,a900),f913(f913(x103251,a900),f913(x103251,a900)),f913(x103251,a900)),f115(f913(x103251,a900))),f329(f329(f7(f913(x103251,a900),f913(x103251,a900),f913(x103251,a900)),f329(f329(f8(f913(x103251,a900),f913(f913(x103251,a900),f913(x103251,a900)),f913(x103251,a900)),f115(f913(x103251,a900))),x103254)),x103255))),x103253))))) % 166.45/166.24 [7350]E(x73501,x73502)+~P24(x73504,x73505,x73503,x73506)+~E(f329(x73503,x73501),f329(x73503,x73502))+~P1(f329(f329(f331(x73504),x73502),x73506))+~P1(f329(f329(f331(x73504),x73501),x73506)) % 166.45/166.24 [6613]~P148(x66134)+E(x66131,x66132)+~E(x66135,x66136)+E(x66133,f2(x66134))+~E(f329(f329(f82(x66134),x66135),f329(f329(f83(x66134),x66133),x66131)),f329(f329(f82(x66134),x66136),f329(f329(f83(x66134),x66133),x66132))) % 166.45/166.24 [7645]~P105(x76451)+~P4(x76451)+~P1(f329(f329(f240(x76451),x76452),f329(x76455,x76456)))+~P1(f329(f329(f331(x76453),x76456),x76454))+P1(f329(f329(f240(x76451),x76452),f329(f329(f41(x76453,x76451),x76454),x76455))) % 166.45/166.24 [8340]~P105(x83401)+~P4(x83401)+~P1(f329(f329(f240(x83401),f329(x83404,x83406)),x83405))+~P1(f329(f329(f331(x83402),x83406),x83403))+P1(f329(f329(f240(x83401),f329(f329(f42(x83402,x83401),x83403),x83404)),x83405)) % 166.45/166.24 [8603]~P18(x86032,x86035,x86036,x86031)+~P1(f329(f63(x86032),x86034))+~P1(f329(f63(x86032),x86033))+~E(f329(f329(f106(f913(x86032,a900)),x86033),x86034),f191(f913(x86032,a900)))+E(f329(x86031,f329(f329(f115(f913(x86032,a900)),x86033),x86034)),f329(f74(x86035,x86035,x86035,f329(x86031,x86033)),f329(x86031,x86034))) % 166.45/166.24 [10174]~P80(x101741)+~E(f838(x101744,x101745,x101743,x101746,x101742,x101741),f839(x101744,x101745,x101743,x101746,x101742,x101741))+~P1(f329(f63(x101742),x101746))+E(f329(f329(f329(f67(x101741,x101742,f83(x101741)),f329(f329(f8(f913(x101743,a900),x101741,x101742),f329(f329(f67(x101741,x101743,f83(x101741)),x101744),f80(x101741))),x101745)),f80(x101741)),x101746),f329(f329(f329(f67(x101741,x101743,f83(x101741)),x101744),f80(x101741)),f329(f329(f41(x101742,f913(x101743,a900)),x101746),x101745)))+P1(f329(f329(f331(x101742),f837(x101744,x101745,x101743,x101746,x101742,x101741)),x101746)) % 166.45/166.24 [10204]~P80(x102041)+~E(f838(x102044,x102045,x102043,x102046,x102042,x102041),f839(x102044,x102045,x102043,x102046,x102042,x102041))+~P1(f329(f63(x102042),x102046))+E(f329(f329(f329(f67(x102041,x102042,f83(x102041)),f329(f329(f8(f913(x102043,a900),x102041,x102042),f329(f329(f67(x102041,x102043,f83(x102041)),x102044),f80(x102041))),x102045)),f80(x102041)),x102046),f329(f329(f329(f67(x102041,x102043,f83(x102041)),x102044),f80(x102041)),f329(f329(f41(x102042,f913(x102043,a900)),x102046),x102045)))+~P1(f329(f63(x102043),f329(x102045,f837(x102044,x102045,x102043,x102046,x102042,x102041)))) % 166.45/166.24 [10207]~P80(x102071)+~P1(f329(f63(x102072),x102076))+E(f329(f329(f329(f67(x102071,x102072,f83(x102071)),f329(f329(f8(f913(x102073,a900),x102071,x102072),f329(f329(f67(x102071,x102073,f83(x102071)),x102074),f80(x102071))),x102075)),f80(x102071)),x102076),f329(f329(f329(f67(x102071,x102073,f83(x102071)),x102074),f80(x102071)),f329(f329(f41(x102072,f913(x102073,a900)),x102076),x102075)))+P1(f329(f329(f331(x102072),f837(x102074,x102075,x102073,x102076,x102072,x102071)),x102076))+P1(f329(f329(f331(x102072),f839(x102074,x102075,x102073,x102076,x102072,x102071)),x102076)) % 166.45/166.24 [10208]~P80(x102081)+~P1(f329(f63(x102082),x102086))+E(f329(f329(f329(f67(x102081,x102082,f83(x102081)),f329(f329(f8(f913(x102083,a900),x102081,x102082),f329(f329(f67(x102081,x102083,f83(x102081)),x102084),f80(x102081))),x102085)),f80(x102081)),x102086),f329(f329(f329(f67(x102081,x102083,f83(x102081)),x102084),f80(x102081)),f329(f329(f41(x102082,f913(x102083,a900)),x102086),x102085)))+P1(f329(f329(f331(x102082),f837(x102084,x102085,x102083,x102086,x102082,x102081)),x102086))+P1(f329(f329(f331(x102082),f838(x102084,x102085,x102083,x102086,x102082,x102081)),x102086)) % 166.45/166.24 [10228]~P80(x102281)+~P1(f329(f63(x102282),x102286))+E(f329(f329(f329(f67(x102281,x102282,f83(x102281)),f329(f329(f8(f913(x102283,a900),x102281,x102282),f329(f329(f67(x102281,x102283,f83(x102281)),x102284),f80(x102281))),x102285)),f80(x102281)),x102286),f329(f329(f329(f67(x102281,x102283,f83(x102281)),x102284),f80(x102281)),f329(f329(f41(x102282,f913(x102283,a900)),x102286),x102285)))+P1(f329(f329(f331(x102282),f839(x102284,x102285,x102283,x102286,x102282,x102281)),x102286))+~P1(f329(f63(x102283),f329(x102285,f837(x102284,x102285,x102283,x102286,x102282,x102281)))) % 166.45/166.24 [10229]~P80(x102291)+~P1(f329(f63(x102292),x102296))+E(f329(f329(f329(f67(x102291,x102292,f83(x102291)),f329(f329(f8(f913(x102293,a900),x102291,x102292),f329(f329(f67(x102291,x102293,f83(x102291)),x102294),f80(x102291))),x102295)),f80(x102291)),x102296),f329(f329(f329(f67(x102291,x102293,f83(x102291)),x102294),f80(x102291)),f329(f329(f41(x102292,f913(x102293,a900)),x102296),x102295)))+P1(f329(f329(f331(x102292),f838(x102294,x102295,x102293,x102296,x102292,x102291)),x102296))+~P1(f329(f63(x102293),f329(x102295,f837(x102294,x102295,x102293,x102296,x102292,x102291)))) % 166.45/166.24 [10240]~P80(x102401)+~E(f329(f329(f106(f913(x102403,a900)),f329(x102405,f839(x102404,x102405,x102403,x102406,x102402,x102401))),f329(x102405,f838(x102404,x102405,x102403,x102406,x102402,x102401))),f191(f913(x102403,a900)))+~P1(f329(f63(x102402),x102406))+E(f329(f329(f329(f67(x102401,x102402,f83(x102401)),f329(f329(f8(f913(x102403,a900),x102401,x102402),f329(f329(f67(x102401,x102403,f83(x102401)),x102404),f80(x102401))),x102405)),f80(x102401)),x102406),f329(f329(f329(f67(x102401,x102403,f83(x102401)),x102404),f80(x102401)),f329(f329(f41(x102402,f913(x102403,a900)),x102406),x102405)))+P1(f329(f329(f331(x102402),f837(x102404,x102405,x102403,x102406,x102402,x102401)),x102406)) % 166.45/166.24 [10250]~P80(x102501)+~E(f329(f329(f106(f913(x102503,a900)),f329(x102505,f839(x102504,x102505,x102503,x102506,x102502,x102501))),f329(x102505,f838(x102504,x102505,x102503,x102506,x102502,x102501))),f191(f913(x102503,a900)))+~P1(f329(f63(x102502),x102506))+E(f329(f329(f329(f67(x102501,x102502,f83(x102501)),f329(f329(f8(f913(x102503,a900),x102501,x102502),f329(f329(f67(x102501,x102503,f83(x102501)),x102504),f80(x102501))),x102505)),f80(x102501)),x102506),f329(f329(f329(f67(x102501,x102503,f83(x102501)),x102504),f80(x102501)),f329(f329(f41(x102502,f913(x102503,a900)),x102506),x102505)))+~P1(f329(f63(x102503),f329(x102505,f837(x102504,x102505,x102503,x102506,x102502,x102501)))) % 166.45/166.24 [8922]E(x89221,x89222)+~P59(x89224,x89225,x89226,x89223,x89227)+~E(f329(x89223,x89221),f329(x89223,x89222))+~P1(f329(f329(f331(x89225),x89222),x89227))+~P1(f329(f329(f331(x89225),x89221),x89227)) % 166.45/166.24 [10218]~P1(f329(x102182,x102184))+~E(x102185,f329(f139(x102181,x102182),x102187))+E(f329(f139(x102181,x102182),x102183),f329(f329(f154(x102181),x102184),x102185))+~E(x102183,f329(f329(f137(x102181),x102186),f329(f329(f154(x102181),x102184),x102187)))+P1(f329(x102182,f774(x102185,x102184,x102183,x102182,x102181,x102186,x102187))) % 166.45/166.24 [10219]~P1(f329(x102194,x102192))+~E(x102193,f329(f139(x102191,x102194),x102197))+E(f329(f329(f154(x102191),x102192),x102193),f329(f139(x102191,x102194),x102195))+~E(x102195,f329(f329(f137(x102191),x102196),f329(f329(f154(x102191),x102192),x102197)))+P1(f329(x102194,f772(x102195,x102194,x102193,x102192,x102191,x102196,x102197))) % 166.45/166.24 [10261]~P1(f329(x102612,x102614))+~E(x102615,f329(f139(x102611,x102612),x102617))+E(f329(f139(x102611,x102612),x102613),f329(f329(f154(x102611),x102614),x102615))+~E(x102613,f329(f329(f137(x102611),x102616),f329(f329(f154(x102611),x102614),x102617)))+P1(f329(f329(f331(x102611),f774(x102615,x102614,x102613,x102612,x102611,x102616,x102617)),f329(f175(x102611),x102616))) % 166.45/166.24 [10262]~P1(f329(x102624,x102622))+~E(x102623,f329(f139(x102621,x102624),x102627))+E(f329(f329(f154(x102621),x102622),x102623),f329(f139(x102621,x102624),x102625))+~E(x102625,f329(f329(f137(x102621),x102626),f329(f329(f154(x102621),x102622),x102627)))+P1(f329(f329(f331(x102621),f772(x102625,x102624,x102623,x102622,x102621,x102626,x102627)),f329(f175(x102621),x102626))) % 166.45/166.24 [10265]~P7(x102651,x102657,x102656)+~P10(x102651,f913(x102655,a900),x102656,x102654)+P1(f329(f329(f331(x102651),f518(x102652,x102653,x102654,x102655,x102656,x102657,x102651)),x102657))+~P1(f329(f329(f331(f913(x102651,a900)),x102653),f329(f329(f62(x102651),x102657),x102656)))+P1(f329(f329(f331(f913(x102655,a900)),f329(f329(f41(x102651,f913(x102655,a900)),x102653),x102654)),x102652)) % 166.45/166.24 [10320]~P7(x103202,x103206,x103207)+~P10(x103202,f913(x103201,a900),x103207,x103204)+~P1(f329(f329(f331(f913(x103202,a900)),x103203),f329(f329(f62(x103202),x103206),x103207)))+~P1(f329(f329(f331(f913(x103201,a900)),f329(x103204,f518(x103205,x103203,x103204,x103201,x103207,x103206,x103202))),x103205))+P1(f329(f329(f331(f913(x103201,a900)),f329(f329(f41(x103202,f913(x103201,a900)),x103203),x103204)),x103205)) % 166.45/166.24 [8513]~P80(x85132)+~P24(x85131,x85135,x85138,x85134)+~E(x85133,f329(f74(x85135,x85132,x85131,x85136),x85138))+~E(x85137,f329(f312(x85131,x85135,x85138),x85134))+E(f329(f329(f9(x85131,x85132),x85133),x85134),f329(f329(f9(x85135,x85132),x85136),x85137)) % 166.45/166.24 [10324]~P80(x103242)+~P24(x103245,x103241,x103248,x103247)+~E(f329(x103246,f585(x103243,x103246,x103244,x103247,x103248,x103241,x103245,x103242)),f329(f329(f74(x103241,x103242,x103245,x103243),x103248),f585(x103243,x103246,x103244,x103247,x103248,x103241,x103245,x103242)))+~E(x103244,f329(f312(x103245,x103241,x103248),x103247))+E(f329(f329(f9(x103241,x103242),x103243),x103244),f329(f329(f9(x103245,x103242),x103246),x103247)) % 166.45/166.24 [10329]~P74(x103292)+~P24(x103291,x103295,x103298,x103294)+~E(x103297,f329(f312(x103291,x103295,x103298),x103294))+E(f329(f329(f6(x103291,x103292),x103293),x103294),f329(f329(f6(x103295,x103292),x103296),x103297))+P1(f329(f329(f331(x103291),f746(x103296,x103293,x103297,x103294,x103298,x103295,x103291,x103292)),x103294)) % 166.45/166.24 [10330]~P80(x103302)+~P24(x103301,x103305,x103308,x103304)+~E(x103307,f329(f312(x103301,x103305,x103308),x103304))+E(f329(f329(f9(x103301,x103302),x103303),x103304),f329(f329(f9(x103305,x103302),x103306),x103307))+P1(f329(f329(f331(x103301),f585(x103306,x103303,x103307,x103304,x103308,x103305,x103301,x103302)),x103304)) % 166.45/166.24 [10336]~P74(x103362)+~P24(x103365,x103361,x103368,x103367)+~E(x103364,f329(f312(x103365,x103361,x103368),x103367))+~E(f329(x103366,f746(x103363,x103366,x103364,x103367,x103368,x103361,x103365,x103362)),f329(x103363,f329(x103368,f746(x103363,x103366,x103364,x103367,x103368,x103361,x103365,x103362))))+E(f329(f329(f6(x103361,x103362),x103363),x103364),f329(f329(f6(x103365,x103362),x103366),x103367)) % 166.45/166.24 [9812]~P22(x98126,x98122,x98125,x98127,x98128,x98121)+~P1(f329(f63(x98122),x98124))+~P1(f329(f63(x98122),x98123))+~E(f329(f329(f106(f913(x98122,a900)),x98123),x98124),f191(f913(x98122,a900)))+E(f329(x98121,f329(f329(f115(f913(x98122,a900)),x98123),x98124)),f329(f329(x98125,f329(x98121,x98123)),f329(x98121,x98124))) % 166.45/166.24 [10201]~P22(x102018,x102012,x102015,x102017,x102016,x102011)+~E(f329(x102016,f875(x102014,x102013,x102011,x102016,x102017,x102015,x102012)),x102017)+~P1(f329(f63(x102012),x102013))+~P1(f329(f63(x102012),x102014))+E(f329(x102011,f329(f329(f115(f913(x102012,a900)),x102013),x102014)),f329(f329(x102015,f329(x102011,x102013)),f329(x102011,x102014))) % 166.45/166.24 [10272]~P22(x102728,x102722,x102725,x102727,x102726,x102721)+~P1(f329(f63(x102722),x102723))+~P1(f329(f63(x102722),x102724))+E(f329(x102721,f329(f329(f115(f913(x102722,a900)),x102723),x102724)),f329(f329(x102725,f329(x102721,x102723)),f329(x102721,x102724)))+P1(f329(f329(f331(x102722),f875(x102724,x102723,x102721,x102726,x102727,x102725,x102722)),f329(f329(f106(f913(x102722,a900)),x102723),x102724))) % 166.45/166.24 [9968]~P7(x99684,x99688,x99685)+~P7(x99681,x99689,x99683)+~P11(x99681,x99684,f913(x99682,a900),x99683,x99685,x99687)+P10(x99681,f913(x99682,a900),x99683,f329(f329(f8(f913(x99684,f913(x99682,a900)),f913(x99682,a900),x99681),f329(f41(x99684,f913(x99682,a900)),f329(f288(x99684,x99684,x99685),f329(f329(f311(x99684),x99686),f191(f913(x99684,a900)))))),x99687))+~P1(f329(f329(f331(x99684),x99686),x99688)) % 166.45/166.24 [5520]~P105(x55203)+~P12(x55203,x55201)+E(x55201,f750(x55202,x55203))+~E(f329(f175(x55203),x55201),x55202)+~P1(f329(f63(x55203),x55202))+~P1(f329(f140(x55203),x55201)) % 166.45/166.24 [7341]P14(x73411,x73412)+~E(f329(x73412,f829(x73412)),f329(x73412,f830(x73412)))+~P1(f329(f329(x73412,f829(x73412)),f829(x73412)))+~P1(f329(f329(x73412,f829(x73412)),f830(x73412)))+~P1(f329(f329(x73412,f830(x73412)),f830(x73412)))+~P1(f329(f329(x73412,x73413),x73413)) % 166.45/166.24 [5142]~P141(x51422)+~P130(x51422)+~P131(x51422)+~P121(x51422)+E(x51421,f2(x51422))+~E(f329(f329(f249(x51422),x51421),x51423),f2(x51422)) % 166.45/166.24 [5143]~P141(x51432)+~P130(x51432)+~P131(x51432)+~P121(x51432)+~E(x51431,f2(a905))+~E(f329(f329(f249(x51432),x51433),x51431),f2(x51432)) % 166.45/166.24 [6593]~P90(x65931)+~E(x65933,f2(x65931))+~E(x65932,f2(x65931))+E(f329(f329(f82(x65931),x65932),x65933),f2(x65931))+~P1(f329(f329(f239(x65931),f2(x65931)),x65933))+~P1(f329(f329(f239(x65931),f2(x65931)),x65932)) % 166.45/166.24 [8989]~E(f329(f256(a905,a905),x89893),f2(a905))+~E(x89891,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x89893)),x89892)),f329(f261(a905,a905),x89893)))+P1(f329(f50(x89891,x89892),x89893))+~P1(f329(f329(f239(a905),f329(f261(a905,a905),x89893)),f2(a905)))+P1(f329(f329(f240(a905),f2(a905)),x89892))+~P1(f329(f329(f240(a905),x89892),f329(f261(a905,a905),x89893))) % 166.45/166.24 [8997]E(x89971,f2(a905))+~E(x89972,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x89973)),x89971)),f329(f261(a905,a905),x89973)))+P1(f329(f50(x89972,x89971),x89973))+~P1(f329(f329(f240(a905),f2(a905)),x89971))+~P1(f329(f329(f239(a905),f2(a905)),f329(f261(a905,a905),x89973)))+~P1(f329(f329(f240(a905),f329(f261(a905,a905),x89973)),x89971)) % 166.45/166.24 [9016]~E(f329(f256(a905,a905),x90163),f2(a905))+~E(x90161,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x90163)),x90162)),f329(f261(a905,a905),x90163)))+P1(f329(f50(x90161,x90162),x90163))+~P1(f329(f329(f240(a905),f2(a905)),x90162))+~P1(f329(f329(f239(a905),f2(a905)),f329(f261(a905,a905),x90163)))+~P1(f329(f329(f240(a905),f329(f261(a905,a905),x90163)),x90162)) % 166.45/166.24 [6974]~P2(x69742)+E(x69741,f191(f913(x69742,a900)))+E(x69743,f191(f913(x69742,a900)))+~P1(f329(f63(x69742),x69741))+~P1(f329(f63(x69742),x69743))+E(f10(x69742,f329(f329(f115(f913(x69742,a900)),x69743),x69741)),f329(f329(f106(x69742),f10(x69742,x69743)),f10(x69742,x69741))) % 166.45/166.24 [6975]~P2(x69752)+E(x69751,f191(f913(x69752,a900)))+E(x69753,f191(f913(x69752,a900)))+~P1(f329(f63(x69752),x69751))+~P1(f329(f63(x69752),x69753))+E(f13(x69752,f329(f329(f115(f913(x69752,a900)),x69753),x69751)),f329(f329(f115(x69752),f13(x69752,x69753)),f13(x69752,x69751))) % 166.45/166.24 [6976]~P105(x69762)+E(x69761,f191(f913(x69762,a900)))+E(x69763,f191(f913(x69762,a900)))+~P1(f329(f63(x69762),x69761))+~P1(f329(f63(x69762),x69763))+E(f14(x69762,f329(f329(f115(f913(x69762,a900)),x69763),x69761)),f329(f329(f237(x69762),f14(x69762,x69763)),f14(x69762,x69761))) % 166.45/166.24 [6977]~P105(x69772)+E(x69771,f191(f913(x69772,a900)))+E(x69773,f191(f913(x69772,a900)))+~P1(f329(f63(x69772),x69771))+~P1(f329(f63(x69772),x69773))+E(f15(x69772,f329(f329(f115(f913(x69772,a900)),x69773),x69771)),f329(f329(f238(x69772),f15(x69772,x69773)),f15(x69772,x69771))) % 166.45/166.24 [7622]~P100(x76222)+E(x76221,f191(f913(x76222,a900)))+E(x76223,f191(f913(x76222,a900)))+~P1(f329(f63(x76222),x76221))+~P1(f329(f63(x76222),x76223))+E(f329(f329(f83(x76222),f329(f65(x76222,f83(x76222)),x76223)),f329(f65(x76222,f83(x76222)),x76221)),f329(f65(x76222,f83(x76222)),f329(f329(f115(f913(x76222,a900)),x76223),x76221))) % 166.45/166.24 [7779]~P105(x77792)+E(x77791,f191(f913(x77792,a900)))+E(x77793,f191(f913(x77792,a900)))+~P1(f329(f63(x77792),x77791))+~P1(f329(f63(x77792),x77793))+E(f329(f329(f237(x77792),f11(x77792,f237(x77792),x77793)),f11(x77792,f237(x77792),x77791)),f11(x77792,f237(x77792),f329(f329(f115(f913(x77792,a900)),x77793),x77791))) % 166.45/166.24 [7780]~P105(x77802)+E(x77801,f191(f913(x77802,a900)))+E(x77803,f191(f913(x77802,a900)))+~P1(f329(f63(x77802),x77801))+~P1(f329(f63(x77802),x77803))+E(f329(f329(f238(x77802),f12(x77802,f238(x77802),x77803)),f12(x77802,f238(x77802),x77801)),f12(x77802,f238(x77802),f329(f329(f115(f913(x77802,a900)),x77803),x77801))) % 166.45/166.24 [8830]~P1(f329(x88301,x88303))+P1(f329(x88301,f367(x88301,x88302)))+P1(f329(x88301,f364(x88301,x88302)))+~P1(f329(f329(f240(a1),f2(a1)),x88302))+~P1(f329(f329(f331(a1),x88303),f305(a1,f80(a1),x88302)))+P1(f329(x88301,f329(f329(f23(a1),f364(x88301,x88302)),f329(f329(f83(a1),f366(x88301,x88302)),x88302)))) % 166.45/166.24 [9130]~P1(f329(x91301,x91303))+~P1(f329(x91301,f364(x91301,x91302)))+P1(f329(x91301,f367(x91301,x91302)))+~P1(f329(f329(f240(a1),f2(a1)),x91302))+~P1(f329(f329(f331(a1),x91303),f305(a1,f80(a1),x91302)))+~P1(f329(x91301,f329(f329(f23(a1),f364(x91301,x91302)),f329(f329(f83(a1),f366(x91301,x91302)),x91302)))) % 166.45/166.24 [10360]~P102(x103602)+E(x103601,f191(f913(x103602,a900)))+E(x103603,f191(f913(x103602,a900)))+~P1(f329(f63(x103602),x103601))+~P1(f329(f63(x103602),x103603))+E(f10(x103602,f329(f267(x103602),f329(f329(f8(f913(x103602,a900),a900,x103602),f89(x103602)),f329(f329(f8(f913(x103602,f913(x103602,a900)),f913(x103602,a900),x103602),f329(f8(f913(x103602,a900),a900,x103602),f89(x103602))),f329(f329(f7(x103602,f913(x103602,f913(x103602,a900)),f913(x103602,f913(x103602,a900))),f329(f329(f8(f913(x103602,f913(f913(x103602,a900),f913(x103602,a900))),f913(f913(x103602,f913(x103602,a900)),f913(x103602,f913(x103602,a900))),x103602),f18(x103602,f913(x103602,a900),f913(x103602,a900))),f329(f329(f8(f913(x103602,f913(x103602,f913(a900,a900))),f913(x103602,f913(f913(x103602,a900),f913(x103602,a900))),x103602),f329(f8(f913(x103602,f913(a900,a900)),f913(f913(x103602,a900),f913(x103602,a900)),x103602),f18(x103602,a900,a900))),f329(f329(f8(f913(x103602,f913(x103602,a900)),f913(x103602,f913(x103602,f913(a900,a900))),x103602),f329(f8(f913(x103602,a900),f913(x103602,f913(a900,a900)),x103602),f329(f8(a900,f913(a900,a900),x103602),a327))),f329(f329(f7(x103602,f913(x103602,f913(x103602,x103602)),f913(x103602,f913(x103602,a900))),f329(f329(f8(f913(f913(x103602,x103602),f913(x103602,a900)),f913(f913(x103602,f913(x103602,x103602)),f913(x103602,f913(x103602,a900))),x103602),f8(f913(x103602,x103602),f913(x103602,a900),x103602)),f329(f329(f8(f913(x103602,a900),f913(f913(x103602,x103602),f913(x103602,a900)),x103602),f8(x103602,a900,x103602)),a326))),f115(x103602)))))),f329(f329(f7(x103602,f913(x103602,a900),f913(x103602,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x103602,a900),f913(x103602,a900)),x103602),f8(a900,a900,x103602)),f329(f329(f8(a900,f913(a900,a900),x103602),a327),f329(f329(f7(x103602,f913(x103602,a900),a900),f331(x103602)),x103603)))),f329(f329(f7(x103602,f913(x103602,a900),a900),f331(x103602)),x103601))))))),f329(f329(f115(x103602),f10(x103602,x103603)),f10(x103602,x103601))) % 166.45/166.24 [10361]~P102(x103612)+E(x103611,f191(f913(x103612,a900)))+E(x103613,f191(f913(x103612,a900)))+~P1(f329(f63(x103612),x103611))+~P1(f329(f63(x103612),x103613))+E(f13(x103612,f329(f267(x103612),f329(f329(f8(f913(x103612,a900),a900,x103612),f89(x103612)),f329(f329(f8(f913(x103612,f913(x103612,a900)),f913(x103612,a900),x103612),f329(f8(f913(x103612,a900),a900,x103612),f89(x103612))),f329(f329(f7(x103612,f913(x103612,f913(x103612,a900)),f913(x103612,f913(x103612,a900))),f329(f329(f8(f913(x103612,f913(f913(x103612,a900),f913(x103612,a900))),f913(f913(x103612,f913(x103612,a900)),f913(x103612,f913(x103612,a900))),x103612),f18(x103612,f913(x103612,a900),f913(x103612,a900))),f329(f329(f8(f913(x103612,f913(x103612,f913(a900,a900))),f913(x103612,f913(f913(x103612,a900),f913(x103612,a900))),x103612),f329(f8(f913(x103612,f913(a900,a900)),f913(f913(x103612,a900),f913(x103612,a900)),x103612),f18(x103612,a900,a900))),f329(f329(f8(f913(x103612,f913(x103612,a900)),f913(x103612,f913(x103612,f913(a900,a900))),x103612),f329(f8(f913(x103612,a900),f913(x103612,f913(a900,a900)),x103612),f329(f8(a900,f913(a900,a900),x103612),a327))),f329(f329(f7(x103612,f913(x103612,f913(x103612,x103612)),f913(x103612,f913(x103612,a900))),f329(f329(f8(f913(f913(x103612,x103612),f913(x103612,a900)),f913(f913(x103612,f913(x103612,x103612)),f913(x103612,f913(x103612,a900))),x103612),f8(f913(x103612,x103612),f913(x103612,a900),x103612)),f329(f329(f8(f913(x103612,a900),f913(f913(x103612,x103612),f913(x103612,a900)),x103612),f8(x103612,a900,x103612)),a326))),f106(x103612)))))),f329(f329(f7(x103612,f913(x103612,a900),f913(x103612,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x103612,a900),f913(x103612,a900)),x103612),f8(a900,a900,x103612)),f329(f329(f8(a900,f913(a900,a900),x103612),a327),f329(f329(f7(x103612,f913(x103612,a900),a900),f331(x103612)),x103613)))),f329(f329(f7(x103612,f913(x103612,a900),a900),f331(x103612)),x103611))))))),f329(f329(f106(x103612),f13(x103612,x103613)),f13(x103612,x103611))) % 166.45/166.24 [10362]~P105(x103622)+E(x103621,f191(f913(x103622,a900)))+E(x103623,f191(f913(x103622,a900)))+~P1(f329(f63(x103622),x103621))+~P1(f329(f63(x103622),x103623))+E(f12(x103622,f238(x103622),f329(f267(x103622),f329(f329(f8(f913(x103622,a900),a900,x103622),f89(x103622)),f329(f329(f8(f913(x103622,f913(x103622,a900)),f913(x103622,a900),x103622),f329(f8(f913(x103622,a900),a900,x103622),f89(x103622))),f329(f329(f7(x103622,f913(x103622,f913(x103622,a900)),f913(x103622,f913(x103622,a900))),f329(f329(f8(f913(x103622,f913(f913(x103622,a900),f913(x103622,a900))),f913(f913(x103622,f913(x103622,a900)),f913(x103622,f913(x103622,a900))),x103622),f18(x103622,f913(x103622,a900),f913(x103622,a900))),f329(f329(f8(f913(x103622,f913(x103622,f913(a900,a900))),f913(x103622,f913(f913(x103622,a900),f913(x103622,a900))),x103622),f329(f8(f913(x103622,f913(a900,a900)),f913(f913(x103622,a900),f913(x103622,a900)),x103622),f18(x103622,a900,a900))),f329(f329(f8(f913(x103622,f913(x103622,a900)),f913(x103622,f913(x103622,f913(a900,a900))),x103622),f329(f8(f913(x103622,a900),f913(x103622,f913(a900,a900)),x103622),f329(f8(a900,f913(a900,a900),x103622),a327))),f329(f329(f7(x103622,f913(x103622,f913(x103622,x103622)),f913(x103622,f913(x103622,a900))),f329(f329(f8(f913(f913(x103622,x103622),f913(x103622,a900)),f913(f913(x103622,f913(x103622,x103622)),f913(x103622,f913(x103622,a900))),x103622),f8(f913(x103622,x103622),f913(x103622,a900),x103622)),f329(f329(f8(f913(x103622,a900),f913(f913(x103622,x103622),f913(x103622,a900)),x103622),f8(x103622,a900,x103622)),a326))),f237(x103622)))))),f329(f329(f7(x103622,f913(x103622,a900),f913(x103622,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x103622,a900),f913(x103622,a900)),x103622),f8(a900,a900,x103622)),f329(f329(f8(a900,f913(a900,a900),x103622),a327),f329(f329(f7(x103622,f913(x103622,a900),a900),f331(x103622)),x103623)))),f329(f329(f7(x103622,f913(x103622,a900),a900),f331(x103622)),x103621))))))),f329(f329(f237(x103622),f12(x103622,f238(x103622),x103623)),f12(x103622,f238(x103622),x103621))) % 166.45/166.24 [10363]~P105(x103632)+E(x103631,f191(f913(x103632,a900)))+E(x103633,f191(f913(x103632,a900)))+~P1(f329(f63(x103632),x103631))+~P1(f329(f63(x103632),x103633))+E(f11(x103632,f237(x103632),f329(f267(x103632),f329(f329(f8(f913(x103632,a900),a900,x103632),f89(x103632)),f329(f329(f8(f913(x103632,f913(x103632,a900)),f913(x103632,a900),x103632),f329(f8(f913(x103632,a900),a900,x103632),f89(x103632))),f329(f329(f7(x103632,f913(x103632,f913(x103632,a900)),f913(x103632,f913(x103632,a900))),f329(f329(f8(f913(x103632,f913(f913(x103632,a900),f913(x103632,a900))),f913(f913(x103632,f913(x103632,a900)),f913(x103632,f913(x103632,a900))),x103632),f18(x103632,f913(x103632,a900),f913(x103632,a900))),f329(f329(f8(f913(x103632,f913(x103632,f913(a900,a900))),f913(x103632,f913(f913(x103632,a900),f913(x103632,a900))),x103632),f329(f8(f913(x103632,f913(a900,a900)),f913(f913(x103632,a900),f913(x103632,a900)),x103632),f18(x103632,a900,a900))),f329(f329(f8(f913(x103632,f913(x103632,a900)),f913(x103632,f913(x103632,f913(a900,a900))),x103632),f329(f8(f913(x103632,a900),f913(x103632,f913(a900,a900)),x103632),f329(f8(a900,f913(a900,a900),x103632),a327))),f329(f329(f7(x103632,f913(x103632,f913(x103632,x103632)),f913(x103632,f913(x103632,a900))),f329(f329(f8(f913(f913(x103632,x103632),f913(x103632,a900)),f913(f913(x103632,f913(x103632,x103632)),f913(x103632,f913(x103632,a900))),x103632),f8(f913(x103632,x103632),f913(x103632,a900),x103632)),f329(f329(f8(f913(x103632,a900),f913(f913(x103632,x103632),f913(x103632,a900)),x103632),f8(x103632,a900,x103632)),a326))),f238(x103632)))))),f329(f329(f7(x103632,f913(x103632,a900),f913(x103632,a900)),f329(f329(f8(f913(a900,a900),f913(f913(x103632,a900),f913(x103632,a900)),x103632),f8(a900,a900,x103632)),f329(f329(f8(a900,f913(a900,a900),x103632),a327),f329(f329(f7(x103632,f913(x103632,a900),a900),f331(x103632)),x103633)))),f329(f329(f7(x103632,f913(x103632,a900),a900),f331(x103632)),x103631))))))),f329(f329(f238(x103632),f11(x103632,f237(x103632),x103633)),f11(x103632,f237(x103632),x103631))) % 166.45/166.24 [7297]~P127(x72973)+E(x72971,x72972)+~E(f329(f329(f249(x72973),x72971),x72974),f329(f329(f249(x72973),x72972),x72974))+~P1(f329(f329(f239(x72973),f2(x72973)),x72972))+~P1(f329(f329(f239(x72973),f2(x72973)),x72971))+~P1(f329(f329(f240(a905),f2(a905)),x72974)) % 166.45/166.24 [9277]~P1(f329(x92772,x92773))+~P1(f329(x92771,x92774))+E(f243(a905,x92771),f329(a117,f243(a905,x92772)))+P1(f329(x92772,f648(x92773,x92772,x92774,x92771)))+P1(f329(x92771,f2(a905)))+P1(f329(x92771,f329(a117,f648(x92773,x92772,x92774,x92771)))) % 166.45/166.24 [9530]~P1(f329(x95302,x95303))+~P1(f329(x95301,x95304))+E(f243(a905,x95301),f329(a117,f243(a905,x95302)))+~P1(f329(x95302,f648(x95303,x95302,x95304,x95301)))+P1(f329(x95301,f2(a905)))+~P1(f329(x95301,f329(a117,f648(x95303,x95302,x95304,x95301)))) % 166.45/166.24 [7582]~P105(x75822)+E(x75821,f191(f913(x75822,a900)))+~P1(f329(f63(x75822),x75821))+~P1(f329(f329(f331(x75822),x75824),x75821))+P1(f329(f329(f239(x75822),x75823),x75824))+~P1(f329(f329(f239(x75822),x75823),f329(f65(x75822,f237(x75822)),x75821))) % 166.45/166.24 [7583]~P107(x75832)+E(x75831,f191(f913(x75832,a900)))+~P1(f329(f63(x75832),x75831))+~P1(f329(f329(f331(x75832),x75834),x75831))+P1(f329(f329(f239(x75832),x75833),x75834))+~P1(f329(f329(f239(x75832),x75833),f329(f65(x75832,f106(x75832)),x75831))) % 166.45/166.24 [7584]~P105(x75842)+E(x75841,f191(f913(x75842,a900)))+~P1(f329(f63(x75842),x75841))+~P1(f329(f329(f331(x75842),x75844),x75841))+P1(f329(f329(f240(x75842),x75843),x75844))+~P1(f329(f329(f240(x75842),x75843),f329(f65(x75842,f237(x75842)),x75841))) % 166.45/166.24 [7482]E(x74821,f2(a1))+E(f329(f329(f38(a1),x74822),x74821),x74823)+~P1(f329(f329(f239(a1),x74824),f2(a1)))+~E(x74822,f329(f329(f82(a1),f329(f329(f83(a1),x74821),x74823)),x74824))+P1(f329(f329(f240(a1),f2(a1)),x74821))+~P1(f329(f329(f240(a1),x74821),x74824)) % 166.45/166.24 [7497]E(f47(a1,x74972,x74971),x74973)+E(x74971,f2(a1))+~P1(f329(f329(f239(a1),x74973),f2(a1)))+~E(x74972,f329(f329(f82(a1),f329(f329(f83(a1),x74971),x74974)),x74973))+P1(f329(f329(f240(a1),f2(a1)),x74971))+~P1(f329(f329(f240(a1),x74971),x74973)) % 166.45/166.24 [7621]E(x76211,f2(a1))+E(f329(f329(f38(a1),x76212),x76211),x76213)+~E(x76212,f329(f329(f82(a1),f329(f329(f83(a1),x76211),x76213)),x76214))+~P1(f329(f329(f239(a1),f2(a1)),x76214))+~P1(f329(f329(f240(a1),f2(a1)),x76211))+~P1(f329(f329(f240(a1),x76214),x76211)) % 166.45/166.24 [7641]E(f47(a1,x76412,x76411),x76413)+E(x76411,f2(a1))+~E(x76412,f329(f329(f82(a1),f329(f329(f83(a1),x76411),x76414)),x76413))+~P1(f329(f329(f239(a1),f2(a1)),x76413))+~P1(f329(f329(f240(a1),f2(a1)),x76411))+~P1(f329(f329(f240(a1),x76413),x76411)) % 166.45/166.24 [7783]~P105(x77832)+E(x77831,f191(f913(x77832,a900)))+~P1(f329(f63(x77832),x77831))+~P1(f329(f329(f331(x77832),x77834),x77831))+~P1(f329(f329(f239(x77832),x77834),x77833))+P1(f329(f329(f239(x77832),f329(f65(x77832,f237(x77832)),x77831)),x77833)) % 166.45/166.24 [7784]~P105(x77842)+E(x77841,f191(f913(x77842,a900)))+~P1(f329(f63(x77842),x77841))+~P1(f329(f329(f240(x77842),x77844),x77843))+~P1(f329(f329(f331(x77842),x77844),x77841))+P1(f329(f329(f240(x77842),f329(f65(x77842,f237(x77842)),x77841)),x77843)) % 166.45/166.24 [8364]~P1(f329(f329(f239(a1),x83644),f2(a1)))+~E(x83641,f329(f329(f82(a1),f329(f329(f83(a1),x83642),x83643)),x83644))+~P1(f329(f329(f239(a1),f2(a1)),x83644))+~P1(f329(f329(f240(a1),x83644),x83642))+~P1(f329(f329(f240(a1),x83642),x83644))+P1(f329(f51(x83641,x83642),f329(f329(f257(a1,a1),x83643),x83644))) % 166.45/166.24 [8533]~P112(x85331)+P1(f329(f329(f240(f913(x85331,a900)),f305(x85331,x85332,x85333)),f305(x85331,x85334,x85335)))+~P1(f329(f329(f239(x85331),x85334),x85332))+~P1(f329(f329(f239(x85331),x85334),x85335))+~P1(f329(f329(f239(x85331),x85333),x85335))+~P1(f329(f329(f240(x85331),x85333),x85335)) % 166.45/166.24 [8534]~P112(x85341)+P1(f329(f329(f240(f913(x85341,a900)),f305(x85341,x85342,x85343)),f305(x85341,x85344,x85345)))+~P1(f329(f329(f239(x85341),x85343),x85345))+~P1(f329(f329(f239(x85341),x85344),x85345))+~P1(f329(f329(f239(x85341),x85344),x85342))+~P1(f329(f329(f240(x85341),x85344),x85342)) % 166.45/166.24 [9396]P61(x93962,x93963,x93964,x93961)+E(x93961,f191(f913(x93962,a900)))+~P1(f329(f63(x93962),x93964))+~P1(f329(f63(x93962),x93961))+~P1(f329(f329(x93963,f529(x93961,x93964,x93963,x93962)),x93965))+~P1(f329(f329(f331(x93962),x93965),x93961)) % 166.45/166.24 [9397]P61(x93972,x93973,x93974,x93971)+E(x93971,f191(f913(x93972,a900)))+~P1(f329(f63(x93972),x93974))+~P1(f329(f63(x93972),x93971))+~P1(f329(f329(x93973,f821(x93973,x93971,x93974,x93972)),x93975))+~P1(f329(f329(f331(x93972),x93975),x93971)) % 166.45/166.24 [9398]P61(x93982,x93983,x93984,x93981)+E(x93981,f191(f913(x93982,a900)))+~P1(f329(f63(x93982),x93984))+~P1(f329(f63(x93982),x93981))+~P1(f329(f329(x93983,f823(x93981,x93984,x93983,x93982)),x93985))+~P1(f329(f329(f331(x93982),x93985),x93981)) % 166.45/166.24 [9546]~E(x95463,x95465)+~P74(x95461)+~P80(x95461)+~P41(x95463)+E(f329(f329(f6(a1,x95461),x95462),x95463),f329(f329(f6(a1,x95461),x95464),x95465))+P1(f329(f329(f239(a1),f2(a1)),f396(x95462,x95464,x95463,x95465,x95461))) % 166.45/166.24 [9547]~E(x95473,x95475)+~P74(x95471)+~P80(x95471)+~P41(x95473)+E(f329(f329(f9(a1,x95471),x95472),x95473),f329(f329(f9(a1,x95471),x95474),x95475))+P1(f329(f329(f239(a1),f2(a1)),f481(x95472,x95474,x95473,x95475,x95471))) % 166.45/166.24 [9720]~E(x97205,x97203)+~P74(x97201)+~P80(x97201)+~P41(x97205)+~E(f329(x97202,f396(x97204,x97202,x97205,x97203,x97201)),f329(x97204,f396(x97204,x97202,x97205,x97203,x97201)))+E(f329(f329(f6(a1,x97201),x97202),x97203),f329(f329(f6(a1,x97201),x97204),x97205)) % 166.45/166.24 [9721]~E(x97215,x97213)+~P74(x97211)+~P80(x97211)+~P41(x97215)+~E(f329(x97212,f481(x97214,x97212,x97215,x97213,x97211)),f329(x97214,f481(x97214,x97212,x97215,x97213,x97211)))+E(f329(f329(f9(a1,x97211),x97212),x97213),f329(f329(f9(a1,x97211),x97214),x97215)) % 166.45/166.24 [9810]~P83(x98103)+E(f329(x98101,x98102),f2(x98103))+~E(f329(f329(f6(x98104,x98103),x98101),x98105),f2(x98103))+~P1(f329(f63(x98104),x98105))+P1(f329(f329(f331(x98104),f855(x98102,x98101,x98105,x98104,x98103)),x98105))+~P1(f329(f329(f331(x98104),x98102),x98105)) % 166.45/166.24 [9941]~P83(x99413)+E(f329(x99411,x99412),f2(x99413))+~E(f329(f329(f6(x99414,x99413),x99411),x99415),f2(x99413))+~P1(f329(f63(x99414),x99415))+~P1(f329(f329(f331(x99414),x99412),x99415))+~P1(f329(f329(f239(x99413),f2(x99413)),f329(x99411,f855(x99412,x99411,x99415,x99414,x99413)))) % 166.45/166.24 [8451]~P139(x84511)+~P1(f329(f329(f239(x84511),x84513),x84515))+~P1(f329(f329(f239(x84511),x84512),x84514))+~P1(f329(f329(f239(x84511),f2(x84511)),x84513))+~P1(f329(f329(f239(x84511),f2(x84511)),x84514))+P1(f329(f329(f239(x84511),f329(f329(f83(x84511),x84512),x84513)),f329(f329(f83(x84511),x84514),x84515))) % 166.45/166.24 [8452]~P139(x84521)+~P1(f329(f329(f239(x84521),x84523),x84525))+~P1(f329(f329(f239(x84521),x84522),x84524))+~P1(f329(f329(f239(x84521),f2(x84521)),x84523))+~P1(f329(f329(f239(x84521),f2(x84521)),x84522))+P1(f329(f329(f239(x84521),f329(f329(f83(x84521),x84522),x84523)),f329(f329(f83(x84521),x84524),x84525))) % 166.45/166.24 [8453]~P73(x84531)+~P1(f329(f329(f240(x84531),f2(x84531)),x84535))+~P1(f329(f329(f239(x84531),x84535),x84533))+~P1(f329(f329(f239(x84531),x84532),x84534))+~P1(f329(f329(f239(x84531),f2(x84531)),x84532))+P1(f329(f329(f239(x84531),f329(f329(f292(x84531),x84532),x84533)),f329(f329(f292(x84531),x84534),x84535))) % 166.45/166.24 [8454]~P132(x84541)+~P1(f329(f329(f239(x84541),x84543),x84545))+~P1(f329(f329(f239(x84541),f2(x84541)),x84542))+~P1(f329(f329(f240(x84541),x84542),x84544))+~P1(f329(f329(f240(x84541),f2(x84541)),x84543))+P1(f329(f329(f240(x84541),f329(f329(f83(x84541),x84542),x84543)),f329(f329(f83(x84541),x84544),x84545))) % 166.45/166.24 [8455]~P132(x84551)+~P1(f329(f329(f239(x84551),x84552),x84554))+~P1(f329(f329(f239(x84551),f2(x84551)),x84553))+~P1(f329(f329(f240(x84551),x84553),x84555))+~P1(f329(f329(f240(x84551),f2(x84551)),x84552))+P1(f329(f329(f240(x84551),f329(f329(f83(x84551),x84552),x84553)),f329(f329(f83(x84551),x84554),x84555))) % 166.45/166.24 [8456]~P132(x84561)+~P1(f329(f329(f239(x84561),f2(x84561)),x84563))+~P1(f329(f329(f239(x84561),f2(x84561)),x84562))+~P1(f329(f329(f240(x84561),x84563),x84565))+~P1(f329(f329(f240(x84561),x84562),x84564))+P1(f329(f329(f240(x84561),f329(f329(f83(x84561),x84562),x84563)),f329(f329(f83(x84561),x84564),x84565))) % 166.45/166.24 [8457]~P132(x84571)+~P1(f329(f329(f239(x84571),f2(x84571)),x84573))+~P1(f329(f329(f240(x84571),x84573),x84575))+~P1(f329(f329(f240(x84571),x84572),x84574))+~P1(f329(f329(f240(x84571),f2(x84571)),x84574))+P1(f329(f329(f240(x84571),f329(f329(f83(x84571),x84572),x84573)),f329(f329(f83(x84571),x84574),x84575))) % 166.45/166.24 [8458]~P73(x84581)+~P1(f329(f329(f239(x84581),x84585),x84583))+~P1(f329(f329(f239(x84581),f2(x84581)),x84582))+~P1(f329(f329(f240(x84581),x84582),x84584))+~P1(f329(f329(f240(x84581),f2(x84581)),x84585))+P1(f329(f329(f240(x84581),f329(f329(f292(x84581),x84582),x84583)),f329(f329(f292(x84581),x84584),x84585))) % 166.45/166.24 [8459]~P73(x84591)+~P1(f329(f329(f239(x84591),x84592),x84594))+~P1(f329(f329(f240(x84591),x84595),x84593))+~P1(f329(f329(f240(x84591),f2(x84591)),x84595))+~P1(f329(f329(f240(x84591),f2(x84591)),x84592))+P1(f329(f329(f240(x84591),f329(f329(f292(x84591),x84592),x84593)),f329(f329(f292(x84591),x84594),x84595))) % 166.45/166.24 [9853]~P74(x98535)+~P91(x98535)+E(x98531,f191(f913(x98532,a900)))+~P1(f329(f63(x98532),x98531))+P1(f329(f329(f331(x98532),f872(x98533,x98534,x98531,x98532,x98535)),x98531))+P1(f329(f329(f240(x98535),f329(f329(f6(x98532,x98535),x98534),x98531)),f329(f329(f6(x98532,x98535),x98533),x98531))) % 166.45/166.24 [9964]~P74(x99641)+~P88(x99641)+~P1(f329(f63(x99642),x99645))+~P1(f329(f329(f239(x99641),f2(x99641)),f329(x99643,f846(x99643,x99644,x99645,x99642,x99641))))+P1(f329(f329(f239(x99641),f329(f329(f6(x99642,x99641),x99643),x99644)),f329(f329(f6(x99642,x99641),x99643),x99645)))+~P1(f329(f329(f239(f913(x99642,a900)),x99644),x99645)) % 166.45/166.24 [10122]~P74(x101223)+~P91(x101223)+E(x101221,f191(f913(x101222,a900)))+~P1(f329(f63(x101222),x101221))+~P1(f329(f329(f240(x101223),f329(x101224,f872(x101225,x101224,x101221,x101222,x101223))),f329(x101225,f872(x101225,x101224,x101221,x101222,x101223))))+P1(f329(f329(f240(x101223),f329(f329(f6(x101222,x101223),x101224),x101221)),f329(f329(f6(x101222,x101223),x101225),x101221))) % 166.45/166.24 [7155]~P16(x71552,x71555,x71554)+E(x71551,f191(f913(x71552,a900)))+E(x71553,f191(f913(x71552,a900)))+~P1(f329(f63(x71552),x71551))+~P1(f329(f63(x71552),x71553))+E(f329(x71554,f329(f329(f115(f913(x71552,a900)),x71553),x71551)),f329(f329(x71555,f329(x71554,x71553)),f329(x71554,x71551))) % 166.45/166.24 [7750]~P150(x77501,x77503,x77504)+P1(f329(x77501,x77502))+~P1(f329(f329(f240(a1),x77504),f2(a1)))+~P1(f329(f329(f239(a1),x77505),f2(a1)))+~E(x77503,f329(f329(f82(a1),f329(f329(f83(a1),x77504),x77502)),x77505))+~P1(f329(f329(f240(a1),x77504),x77505)) % 166.45/166.24 [7751]~P149(x77511,x77513,x77514)+P1(f329(x77511,x77512))+~P1(f329(f329(f240(a1),x77514),f2(a1)))+~P1(f329(f329(f239(a1),x77512),f2(a1)))+~E(x77513,f329(f329(f82(a1),f329(f329(f83(a1),x77514),x77515)),x77512))+~P1(f329(f329(f240(a1),x77514),x77512)) % 166.45/166.24 [7793]~P150(x77931,x77933,x77934)+P1(f329(x77931,x77932))+~E(x77933,f329(f329(f82(a1),f329(f329(f83(a1),x77934),x77932)),x77935))+~P1(f329(f329(f239(a1),f2(a1)),x77935))+~P1(f329(f329(f240(a1),f2(a1)),x77934))+~P1(f329(f329(f240(a1),x77935),x77934)) % 166.45/166.24 [7794]~P149(x77941,x77943,x77944)+P1(f329(x77941,x77942))+~E(x77943,f329(f329(f82(a1),f329(f329(f83(a1),x77944),x77945)),x77942))+~P1(f329(f329(f239(a1),f2(a1)),x77942))+~P1(f329(f329(f240(a1),f2(a1)),x77944))+~P1(f329(f329(f240(a1),x77942),x77944)) % 166.45/166.24 [8751]P1(f329(f329(x87511,x87512),x87513))+~P1(f329(f329(x87511,f329(f329(f38(a1),x87514),x87515)),f47(a1,x87514,x87515)))+~P1(f329(f329(f240(a1),x87515),f2(a1)))+~P1(f329(f329(f239(a1),x87513),f2(a1)))+~E(x87514,f329(f329(f82(a1),f329(f329(f83(a1),x87515),x87512)),x87513))+~P1(f329(f329(f240(a1),x87515),x87513)) % 166.45/166.24 [8759]P1(f329(f329(x87591,x87592),x87593))+~P1(f329(f329(x87591,f329(f329(f38(a1),x87594),x87595)),f47(a1,x87594,x87595)))+~E(x87594,f329(f329(f82(a1),f329(f329(f83(a1),x87595),x87592)),x87593))+~P1(f329(f329(f239(a1),f2(a1)),x87593))+~P1(f329(f329(f240(a1),f2(a1)),x87595))+~P1(f329(f329(f240(a1),x87593),x87595)) % 166.45/166.24 [9005]E(x90051,x90052)+~P58(x90053,x90055,x90054)+~P1(f329(f329(f331(x90053),x90052),x90055))+~P1(f329(f329(f331(x90053),x90051),x90055))+P1(f329(f329(f331(f912(x90053,x90053)),f329(f329(f257(x90053,x90053),x90051),x90052)),x90054))+P1(f329(f329(f331(f912(x90053,x90053)),f329(f329(f257(x90053,x90053),x90052),x90051)),x90054)) % 166.45/166.24 [9829]~P112(x98291)+~P112(x98292)+~P40(x98292,x98291,x98293)+~P1(f329(f329(f239(x98292),x98295),f403(x98294,x98293,x98292,x98291,x98295)))+E(f243(x98291,f329(f329(f7(x98291,f913(x98291,a900),a900),f331(x98291)),f329(f312(x98292,x98291,x98293),x98294))),f329(x98293,f243(x98292,f329(f329(f7(x98292,f913(x98292,a900),a900),f331(x98292)),x98294))))+~P1(f329(f329(f331(x98292),x98295),x98294)) % 166.45/166.24 [9881]~P74(x98815)+~P88(x98815)+~P1(f329(f63(x98811),x98814))+P1(f329(f329(f239(x98815),f329(f329(f6(x98811,x98815),x98812),x98813)),f329(f329(f6(x98811,x98815),x98812),x98814)))+~P1(f329(f329(f239(f913(x98811,a900)),x98813),x98814))+P1(f329(f329(f331(x98811),f846(x98812,x98813,x98814,x98811,x98815)),f329(f329(f23(f913(x98811,a900)),x98814),x98813))) % 166.45/166.24 [9897]~P112(x98971)+~P112(x98972)+~P40(x98972,x98971,x98973)+E(f243(x98971,f329(f329(f7(x98971,f913(x98971,a900),a900),f331(x98971)),f329(f312(x98972,x98971,x98973),x98974))),f329(x98973,f243(x98972,f329(f329(f7(x98972,f913(x98972,a900),a900),f331(x98972)),x98974))))+~P1(f329(f329(f331(x98972),x98975),x98974))+P1(f329(f329(f331(x98972),f403(x98974,x98973,x98972,x98971,x98975)),x98974)) % 166.45/166.24 [9972]E(x99721,f191(f913(x99722,a900)))+~P1(f329(f63(x99722),x99723))+~P1(f329(f63(x99722),x99721))+P1(f329(f329(f331(f912(f913(x99722,a900),f913(x99722,a900))),f329(f329(f257(f913(x99722,a900),f913(x99722,a900)),x99723),x99721)),f321(x99722,x99724)))+~P1(f329(f329(f331(x99722),x99725),x99721))+~P1(f329(f329(f331(f912(x99722,x99722)),f329(f329(f257(x99722,x99722),f538(x99724,x99721,x99723,x99722)),x99725)),x99724)) % 166.45/166.24 [9973]E(x99731,f191(f913(x99732,a900)))+~P1(f329(f63(x99732),x99733))+~P1(f329(f63(x99732),x99731))+P1(f329(f329(f331(f912(f913(x99732,a900),f913(x99732,a900))),f329(f329(f257(f913(x99732,a900),f913(x99732,a900)),x99733),x99731)),f321(x99732,x99734)))+~P1(f329(f329(f331(x99732),x99735),x99731))+~P1(f329(f329(f331(f912(x99732,x99732)),f329(f329(f257(x99732,x99732),f594(x99734,x99731,x99733,x99732)),x99735)),x99734)) % 166.45/166.24 [10126]~P83(x101261)+~E(f329(f329(f6(x101265,x101261),x101262),x101266),x101264)+~P1(f329(f63(x101265),x101266))+P1(f329(f329(f331(x101265),f858(x101263,x101264,x101262,x101266,x101265,x101261)),x101266))+P1(f329(f329(f239(x101261),f329(x101262,x101263)),x101264))+~P1(f329(f329(f331(x101265),x101263),x101266)) % 166.45/166.24 [10171]~P83(x101711)+~E(f329(f329(f6(x101715,x101711),x101712),x101716),x101714)+~P1(f329(f63(x101715),x101716))+~P1(f329(f329(f331(x101715),x101713),x101716))+~P1(f329(f329(f239(x101711),f2(x101711)),f329(x101712,f858(x101713,x101714,x101712,x101716,x101715,x101711))))+P1(f329(f329(f239(x101711),f329(x101712,x101713)),x101714)) % 166.45/166.24 [10306]~E(x103065,x103068)+~E(x103064,x103067)+~P113(x103061)+~P74(x103062)+E(f329(f329(f6(x103061,x103062),x103063),f329(f304(x103061,x103064),x103065)),f329(f329(f6(x103061,x103062),x103066),f329(f304(x103061,x103067),x103068)))+P1(f329(f329(f239(x103061),x103064),f597(x103063,x103066,x103065,x103068,x103064,x103067,x103061,x103062))) % 166.45/166.24 [10323]~E(x103237,x103234)+~E(x103238,x103235)+~P113(x103231)+~P74(x103232)+~E(f329(x103233,f597(x103236,x103233,x103238,x103235,x103237,x103234,x103231,x103232)),f329(x103236,f597(x103236,x103233,x103238,x103235,x103237,x103234,x103231,x103232)))+E(f329(f329(f6(x103231,x103232),x103233),f329(f304(x103231,x103234),x103235)),f329(f329(f6(x103231,x103232),x103236),f329(f304(x103231,x103237),x103238))) % 166.45/166.24 [10328]~E(x103284,x103287)+~E(x103285,x103288)+~P113(x103281)+~P74(x103282)+E(f329(f329(f6(x103281,x103282),x103283),f329(f304(x103281,x103284),x103285)),f329(f329(f6(x103281,x103282),x103286),f329(f304(x103281,x103287),x103288)))+P1(f329(f329(f240(x103281),f597(x103283,x103286,x103285,x103288,x103284,x103287,x103281,x103282)),x103285)) % 166.45/166.24 [9978]~P7(x99785,x99789,x99786)+~P7(x99781,x997810,x99783)+~P11(x99781,x99785,f913(x99782,a900),x99783,x99786,x99788)+~P1(f329(f329(f331(x99785),x99787),x99789))+~P1(f329(f329(f331(x99781),x99784),x997810))+E(f329(f329(f41(x99781,f913(x99782,a900)),f329(f288(x99781,x99781,x99783),f329(f329(f311(x99781),x99784),f191(f913(x99781,a900))))),f329(f329(f8(f913(x99785,f913(x99782,a900)),f913(x99782,a900),x99781),f329(f41(x99785,f913(x99782,a900)),f329(f288(x99785,x99785,x99786),f329(f329(f311(x99785),x99787),f191(f913(x99785,a900)))))),x99788)),f329(f329(x99788,x99784),x99787)) % 166.45/166.24 [5691]~P105(x56913)+~P12(x56913,x56912)+~P12(x56913,x56911)+E(x56911,x56912)+~E(f329(f175(x56913),x56911),f329(f175(x56913),x56912))+~P1(f329(f140(x56913),x56912))+~P1(f329(f140(x56913),x56911)) % 166.45/166.24 [5021]~P141(x50212)+~P130(x50212)+~P131(x50212)+~P121(x50212)+~E(x50213,f2(x50212))+E(x50211,f2(a905))+E(f329(f329(f249(x50212),x50213),x50211),f2(x50212)) % 166.45/166.24 [9276]E(x92761,f2(a905))+~E(x92762,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x92763)),x92761)),f329(f261(a905,a905),x92763)))+P1(f329(f50(x92762,x92761),x92763))+~P1(f329(f329(f239(a905),f329(f261(a905,a905),x92763)),f2(a905)))+~P1(f329(f329(f239(a905),f2(a905)),f329(f261(a905,a905),x92763)))+~P1(f329(f329(f240(a905),x92761),f329(f261(a905,a905),x92763)))+~P1(f329(f329(f240(a905),f329(f261(a905,a905),x92763)),x92761)) % 166.45/166.24 [9285]~E(f329(f256(a905,a905),x92853),f2(a905))+~E(x92851,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),x92853)),x92852)),f329(f261(a905,a905),x92853)))+P1(f329(f50(x92851,x92852),x92853))+~P1(f329(f329(f239(a905),f329(f261(a905,a905),x92853)),f2(a905)))+~P1(f329(f329(f239(a905),f2(a905)),f329(f261(a905,a905),x92853)))+~P1(f329(f329(f240(a905),x92852),f329(f261(a905,a905),x92853)))+~P1(f329(f329(f240(a905),f329(f261(a905,a905),x92853)),x92852)) % 166.45/166.24 [8115]~P78(x81152)+E(x81151,f191(f913(x81152,a900)))+E(x81153,f191(f913(x81152,a900)))+~P1(f329(f63(x81152),x81151))+~P1(f329(f63(x81152),x81153))+~E(f329(f329(f106(f913(x81152,a900)),x81153),x81151),f191(f913(x81152,a900)))+E(f329(f329(f83(x81152),f329(f65(x81152,f83(x81152)),x81153)),f329(f65(x81152,f83(x81152)),x81151)),f329(f65(x81152,f83(x81152)),f329(f329(f115(f913(x81152,a900)),x81153),x81151))) % 166.45/166.24 [7890]E(x78901,f2(a1))+E(f329(f329(f38(a1),x78902),x78901),x78903)+~P1(f329(f329(f239(a1),x78904),f2(a1)))+~E(x78902,f329(f329(f82(a1),f329(f329(f83(a1),x78901),x78903)),x78904))+~P1(f329(f329(f239(a1),f2(a1)),x78904))+~P1(f329(f329(f240(a1),x78904),x78901))+~P1(f329(f329(f240(a1),x78901),x78904)) % 166.45/166.24 [7898]E(f47(a1,x78982,x78981),x78983)+E(x78981,f2(a1))+~P1(f329(f329(f239(a1),x78983),f2(a1)))+~E(x78982,f329(f329(f82(a1),f329(f329(f83(a1),x78981),x78984)),x78983))+~P1(f329(f329(f239(a1),f2(a1)),x78983))+~P1(f329(f329(f240(a1),x78983),x78981))+~P1(f329(f329(f240(a1),x78981),x78983)) % 166.45/166.24 [7802]~P17(x78022,x78025,x78024)+E(x78021,f191(f913(x78022,a900)))+E(x78023,f191(f913(x78022,a900)))+~P1(f329(f63(x78022),x78021))+~P1(f329(f63(x78022),x78023))+~E(f329(f329(f106(f913(x78022,a900)),x78023),x78021),f191(f913(x78022,a900)))+E(f329(x78024,f329(f329(f115(f913(x78022,a900)),x78023),x78021)),f329(f329(x78025,f329(x78024,x78023)),f329(x78024,x78021))) % 166.45/166.24 [9517]~P24(x95173,x95171,x95175,x95174)+~P24(x95171,x95173,x95176,x95172)+E(f329(f37(x95171),x95172),f329(f37(x95173),x95174))+~P1(f329(f63(x95173),x95174))+~P1(f329(f63(x95171),x95172))+~P1(f329(f329(f239(f913(x95173,a900)),f329(f312(x95171,x95173,x95176),x95172)),x95174))+~P1(f329(f329(f239(f913(x95171,a900)),f329(f312(x95173,x95171,x95175),x95174)),x95172)) % 166.45/166.24 [9463]~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x94635),x94631)),x94636)),f2(a1)))+~E(f329(f329(f82(a1),f329(f329(f83(a1),x94633),x94632)),x94634),f329(f329(f82(a1),f329(f329(f83(a1),x94635),x94631)),x94636))+~P1(f329(f329(f239(a1),f2(a1)),x94636))+~P1(f329(f329(f240(a1),f2(a1)),x94635))+~P1(f329(f329(f239(a1),x94635),x94633))+~P1(f329(f329(f240(a1),x94634),x94633))+P1(f329(f329(f239(a1),x94631),x94632)) % 166.45/166.24 [9221]~E(f329(f329(f82(a1),f329(f329(f83(a1),x92213),x92211)),x92214),f329(f329(f82(a1),f329(f329(f83(a1),x92215),x92212)),x92216))+~P1(f329(f329(f239(a1),f2(a1)),x92214))+~P1(f329(f329(f240(a1),f2(a1)),x92215))+~P1(f329(f329(f239(a1),x92215),x92213))+~P1(f329(f329(f240(a1),x92216),x92215))+P1(f329(f329(f239(a1),x92211),x92212))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92215),x92212)),x92216))) % 166.45/166.24 [9402]~P134(x94021)+~E(f329(f329(f82(x94021),x94022),x94024),f80(x94021))+~P1(f329(f329(f239(x94021),x94025),x94026))+~P1(f329(f329(f239(x94021),x94023),x94026))+~P1(f329(f329(f239(x94021),f2(x94021)),x94024))+~P1(f329(f329(f239(x94021),f2(x94021)),x94022))+P1(f329(f329(f239(x94021),f329(f329(f82(x94021),f329(f329(f83(x94021),x94022),x94023)),f329(f329(f83(x94021),x94024),x94025))),x94026)) % 166.45/166.24 [9403]~P135(x94031)+~E(f329(f329(f82(x94031),x94032),x94034),f80(x94031))+~P1(f329(f329(f239(x94031),f2(x94031)),x94034))+~P1(f329(f329(f239(x94031),f2(x94031)),x94032))+~P1(f329(f329(f240(x94031),x94035),x94036))+~P1(f329(f329(f240(x94031),x94033),x94036))+P1(f329(f329(f240(x94031),f329(f329(f82(x94031),f329(f329(f83(x94031),x94032),x94033)),f329(f329(f83(x94031),x94034),x94035))),x94036)) % 166.45/166.24 [10221]~P7(x102217,x102216,x102215)+E(x102211,x102212)+~P10(x102217,f913(x102214,a900),x102215,x102213)+E(f329(x102213,f516(x102211,x102212,x102213,x102214,x102215,x102216,x102217)),f329(x102213,f517(x102211,x102212,x102213,x102214,x102215,x102216,x102217)))+~E(f329(f329(f41(x102217,f913(x102214,a900)),x102211),x102213),f329(f329(f41(x102217,f913(x102214,a900)),x102212),x102213))+~P1(f329(f329(f331(f913(x102217,a900)),x102212),f329(f329(f62(x102217),x102216),x102215)))+~P1(f329(f329(f331(f913(x102217,a900)),x102211),f329(f329(f62(x102217),x102216),x102215))) % 166.45/166.24 [10263]~P7(x102633,x102637,x102636)+E(x102631,x102632)+~P10(x102633,f913(x102635,a900),x102636,x102634)+~E(f329(f329(f41(x102633,f913(x102635,a900)),x102631),x102634),f329(f329(f41(x102633,f913(x102635,a900)),x102632),x102634))+P1(f329(f329(f331(x102633),f517(x102631,x102632,x102634,x102635,x102636,x102637,x102633)),x102637))+~P1(f329(f329(f331(f913(x102633,a900)),x102632),f329(f329(f62(x102633),x102637),x102636)))+~P1(f329(f329(f331(f913(x102633,a900)),x102631),f329(f329(f62(x102633),x102637),x102636))) % 166.45/166.24 [10264]~P7(x102643,x102647,x102646)+E(x102641,x102642)+~P10(x102643,f913(x102645,a900),x102646,x102644)+~E(f329(f329(f41(x102643,f913(x102645,a900)),x102641),x102644),f329(f329(f41(x102643,f913(x102645,a900)),x102642),x102644))+P1(f329(f329(f331(x102643),f516(x102641,x102642,x102644,x102645,x102646,x102647,x102643)),x102647))+~P1(f329(f329(f331(f913(x102643,a900)),x102642),f329(f329(f62(x102643),x102647),x102646)))+~P1(f329(f329(f331(f913(x102643,a900)),x102641),f329(f329(f62(x102643),x102647),x102646))) % 166.45/166.24 [10344]E(x103441,x103442)+~P7(x103443,x103446,x103447)+~P10(x103443,f913(x103444,a900),x103447,x103445)+~E(f329(f329(f41(x103443,f913(x103444,a900)),x103441),x103445),f329(f329(f41(x103443,f913(x103444,a900)),x103442),x103445))+~P1(f329(f329(f331(f912(x103443,x103443)),f329(f329(f257(x103443,x103443),f517(x103441,x103442,x103445,x103444,x103447,x103446,x103443)),f516(x103441,x103442,x103445,x103444,x103447,x103446,x103443))),x103447))+~P1(f329(f329(f331(f913(x103443,a900)),x103442),f329(f329(f62(x103443),x103446),x103447)))+~P1(f329(f329(f331(f913(x103443,a900)),x103441),f329(f329(f62(x103443),x103446),x103447))) % 166.45/166.24 [9220]~P7(x92201,x92207,x92204)+~E(x92205,x92206)+~P1(f329(f329(f331(x92201),x92203),x92206))+~P1(f329(f329(f331(x92201),x92202),x92205))+~P1(f329(f329(f331(f913(x92201,a900)),x92206),f329(f329(f62(x92201),x92207),x92204)))+~P1(f329(f329(f331(f913(x92201,a900)),x92205),f329(f329(f62(x92201),x92207),x92204)))+P1(f329(f329(f331(f912(x92201,x92201)),f329(f329(f257(x92201,x92201),x92202),x92203)),x92204)) % 166.45/166.24 [9361]E(x93611,x93612)+~P7(x93613,x93614,x93615)+~P1(f329(f329(f331(x93613),x93616),x93612))+~P1(f329(f329(f331(x93613),x93617),x93611))+~P1(f329(f329(f331(f913(x93613,a900)),x93612),f329(f329(f62(x93613),x93614),x93615)))+~P1(f329(f329(f331(f913(x93613,a900)),x93611),f329(f329(f62(x93613),x93614),x93615)))+~P1(f329(f329(f331(f912(x93613,x93613)),f329(f329(f257(x93613,x93613),x93617),x93616)),x93615)) % 166.45/166.24 [10365]~P7(x103659,x103658,x103657)+~P7(x103651,x1036511,x1036510)+~P11(x103651,x103659,f913(x103656,a900),x1036510,x103657,x103655)+P1(f329(f329(f331(x103651),f519(x103652,x103653,x103654,x103655,x103656,x103657,x103658,x103659,x1036510,x1036511,x103651)),x1036511))+~P1(f329(f329(f331(f913(x103659,a900)),x103653),f329(f329(f62(x103659),x103658),x103657)))+~P1(f329(f329(f331(f913(x103651,a900)),x103654),f329(f329(f62(x103651),x1036511),x1036510)))+P1(f329(f329(f331(f913(x103656,a900)),f329(f329(f41(x103651,f913(x103656,a900)),x103654),f329(f329(f8(f913(x103659,f913(x103656,a900)),f913(x103656,a900),x103651),f329(f41(x103659,f913(x103656,a900)),x103653)),x103655))),x103652)) % 166.45/166.24 [10366]~P7(x1036611,x1036610,x103669)+~P7(x103661,x103668,x103667)+~P11(x1036611,x103661,f913(x103666,a900),x103669,x103667,x103665)+P1(f329(f329(f331(x103661),f520(x103662,x103663,x103664,x103665,x103666,x103667,x103668,x103661,x103669,x1036610,x1036611)),x103668))+~P1(f329(f329(f331(f913(x1036611,a900)),x103664),f329(f329(f62(x1036611),x1036610),x103669)))+~P1(f329(f329(f331(f913(x103661,a900)),x103663),f329(f329(f62(x103661),x103668),x103667)))+P1(f329(f329(f331(f913(x103666,a900)),f329(f329(f41(x1036611,f913(x103666,a900)),x103664),f329(f329(f8(f913(x103661,f913(x103666,a900)),f913(x103666,a900),x1036611),f329(f41(x103661,f913(x103666,a900)),x103663)),x103665))),x103662)) % 166.45/166.24 [10367]~P7(x103672,x103678,x103679)+~P7(x103674,x1036710,x1036711)+~P11(x103672,x103674,f913(x103671,a900),x103679,x1036711,x103676)+~P1(f329(f329(f331(f913(x103672,a900)),x103673),f329(f329(f62(x103672),x103678),x103679)))+~P1(f329(f329(f331(f913(x103674,a900)),x103675),f329(f329(f62(x103674),x1036710),x1036711)))+~P1(f329(f329(f331(f913(x103671,a900)),f329(f329(x103676,f519(x103677,x103675,x103673,x103676,x103671,x1036711,x1036710,x103674,x103679,x103678,x103672)),f520(x103677,x103675,x103673,x103676,x103671,x1036711,x1036710,x103674,x103679,x103678,x103672))),x103677))+P1(f329(f329(f331(f913(x103671,a900)),f329(f329(f41(x103672,f913(x103671,a900)),x103673),f329(f329(f8(f913(x103674,f913(x103671,a900)),f913(x103671,a900),x103672),f329(f41(x103674,f913(x103671,a900)),x103675)),x103676))),x103677)) % 166.45/166.24 [9262]E(x92621,x92622)+~P105(x92624)+~P24(x92623,x92624,x92625,f329(f329(f115(f913(x92623,a900)),f329(f175(x92623),x92621)),f329(f175(x92623),x92622)))+~E(f329(f175(x92623),x92621),f329(f175(x92623),x92622))+~P12(x92624,f329(f329(f157(x92623,x92624),x92625),x92622))+~P12(x92624,f329(f329(f157(x92623,x92624),x92625),x92621))+~P1(f329(f140(x92624),f329(f329(f157(x92623,x92624),x92625),x92622)))+~P1(f329(f140(x92624),f329(f329(f157(x92623,x92624),x92625),x92621))) % 166.45/166.24 %EqnAxiom % 166.45/166.24 [1]E(x11,x11) % 166.45/166.24 [2]E(x22,x21)+~E(x21,x22) % 166.45/166.24 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 166.45/166.24 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 166.45/166.24 [5]~E(x51,x52)+E(f105(x51),f105(x52)) % 166.45/166.24 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 166.45/166.24 [7]~E(x71,x72)+E(f191(x71),f191(x72)) % 166.45/166.24 [8]~E(x81,x82)+E(f329(x81,x83),f329(x82,x83)) % 166.45/166.24 [9]~E(x91,x92)+E(f329(x93,x91),f329(x93,x92)) % 166.45/166.24 [10]~E(x101,x102)+E(f30(x101),f30(x102)) % 166.45/166.24 [11]~E(x111,x112)+E(f912(x111,x113),f912(x112,x113)) % 166.45/166.24 [12]~E(x121,x122)+E(f912(x123,x121),f912(x123,x122)) % 166.45/166.24 [13]~E(x131,x132)+E(f106(x131),f106(x132)) % 166.45/166.24 [14]~E(x141,x142)+E(f237(x141),f237(x142)) % 166.45/166.24 [15]~E(x151,x152)+E(f115(x151),f115(x152)) % 166.45/166.24 [16]~E(x161,x162)+E(f238(x161),f238(x162)) % 166.45/166.24 [17]~E(x171,x172)+E(f107(x171),f107(x172)) % 166.45/166.24 [18]~E(x181,x182)+E(f33(x181),f33(x182)) % 166.45/166.24 [19]~E(x191,x192)+E(f86(x191),f86(x192)) % 166.45/166.24 [20]~E(x201,x202)+E(f670(x201,x203,x204,x205,x206,x207),f670(x202,x203,x204,x205,x206,x207)) % 166.45/166.24 [21]~E(x211,x212)+E(f670(x213,x211,x214,x215,x216,x217),f670(x213,x212,x214,x215,x216,x217)) % 166.45/166.24 [22]~E(x221,x222)+E(f670(x223,x224,x221,x225,x226,x227),f670(x223,x224,x222,x225,x226,x227)) % 166.45/166.24 [23]~E(x231,x232)+E(f670(x233,x234,x235,x231,x236,x237),f670(x233,x234,x235,x232,x236,x237)) % 166.45/166.24 [24]~E(x241,x242)+E(f670(x243,x244,x245,x246,x241,x247),f670(x243,x244,x245,x246,x242,x247)) % 166.45/166.24 [25]~E(x251,x252)+E(f670(x253,x254,x255,x256,x257,x251),f670(x253,x254,x255,x256,x257,x252)) % 166.45/166.24 [26]~E(x261,x262)+E(f239(x261),f239(x262)) % 166.45/166.24 [27]~E(x271,x272)+E(f520(x271,x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x2712),f520(x272,x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x2712)) % 166.45/166.24 [28]~E(x281,x282)+E(f520(x283,x281,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812),f520(x283,x282,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812)) % 166.45/166.24 [29]~E(x291,x292)+E(f520(x293,x294,x291,x295,x296,x297,x298,x299,x2910,x2911,x2912),f520(x293,x294,x292,x295,x296,x297,x298,x299,x2910,x2911,x2912)) % 166.45/166.24 [30]~E(x301,x302)+E(f520(x303,x304,x305,x301,x306,x307,x308,x309,x3010,x3011,x3012),f520(x303,x304,x305,x302,x306,x307,x308,x309,x3010,x3011,x3012)) % 166.45/166.24 [31]~E(x311,x312)+E(f520(x313,x314,x315,x316,x311,x317,x318,x319,x3110,x3111,x3112),f520(x313,x314,x315,x316,x312,x317,x318,x319,x3110,x3111,x3112)) % 166.45/166.24 [32]~E(x321,x322)+E(f520(x323,x324,x325,x326,x327,x321,x328,x329,x3210,x3211,x3212),f520(x323,x324,x325,x326,x327,x322,x328,x329,x3210,x3211,x3212)) % 166.45/166.24 [33]~E(x331,x332)+E(f520(x333,x334,x335,x336,x337,x338,x331,x339,x3310,x3311,x3312),f520(x333,x334,x335,x336,x337,x338,x332,x339,x3310,x3311,x3312)) % 166.45/166.24 [34]~E(x341,x342)+E(f520(x343,x344,x345,x346,x347,x348,x349,x341,x3410,x3411,x3412),f520(x343,x344,x345,x346,x347,x348,x349,x342,x3410,x3411,x3412)) % 166.45/166.24 [35]~E(x351,x352)+E(f520(x353,x354,x355,x356,x357,x358,x359,x3510,x351,x3511,x3512),f520(x353,x354,x355,x356,x357,x358,x359,x3510,x352,x3511,x3512)) % 166.45/166.24 [36]~E(x361,x362)+E(f520(x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x361,x3612),f520(x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x362,x3612)) % 166.45/166.24 [37]~E(x371,x372)+E(f520(x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712,x371),f520(x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712,x372)) % 166.45/166.24 [38]~E(x381,x382)+E(f666(x381,x383,x384,x385,x386,x387),f666(x382,x383,x384,x385,x386,x387)) % 166.45/166.24 [39]~E(x391,x392)+E(f666(x393,x391,x394,x395,x396,x397),f666(x393,x392,x394,x395,x396,x397)) % 166.45/166.24 [40]~E(x401,x402)+E(f666(x403,x404,x401,x405,x406,x407),f666(x403,x404,x402,x405,x406,x407)) % 166.45/166.24 [41]~E(x411,x412)+E(f666(x413,x414,x415,x411,x416,x417),f666(x413,x414,x415,x412,x416,x417)) % 166.45/166.24 [42]~E(x421,x422)+E(f666(x423,x424,x425,x426,x421,x427),f666(x423,x424,x425,x426,x422,x427)) % 166.45/166.24 [43]~E(x431,x432)+E(f666(x433,x434,x435,x436,x437,x431),f666(x433,x434,x435,x436,x437,x432)) % 166.45/166.24 [44]~E(x441,x442)+E(f80(x441),f80(x442)) % 166.45/166.24 [45]~E(x451,x452)+E(f519(x451,x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512),f519(x452,x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512)) % 166.45/166.24 [46]~E(x461,x462)+E(f519(x463,x461,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612),f519(x463,x462,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612)) % 166.45/166.24 [47]~E(x471,x472)+E(f519(x473,x474,x471,x475,x476,x477,x478,x479,x4710,x4711,x4712),f519(x473,x474,x472,x475,x476,x477,x478,x479,x4710,x4711,x4712)) % 166.45/166.24 [48]~E(x481,x482)+E(f519(x483,x484,x485,x481,x486,x487,x488,x489,x4810,x4811,x4812),f519(x483,x484,x485,x482,x486,x487,x488,x489,x4810,x4811,x4812)) % 166.45/166.24 [49]~E(x491,x492)+E(f519(x493,x494,x495,x496,x491,x497,x498,x499,x4910,x4911,x4912),f519(x493,x494,x495,x496,x492,x497,x498,x499,x4910,x4911,x4912)) % 166.45/166.24 [50]~E(x501,x502)+E(f519(x503,x504,x505,x506,x507,x501,x508,x509,x5010,x5011,x5012),f519(x503,x504,x505,x506,x507,x502,x508,x509,x5010,x5011,x5012)) % 166.45/166.24 [51]~E(x511,x512)+E(f519(x513,x514,x515,x516,x517,x518,x511,x519,x5110,x5111,x5112),f519(x513,x514,x515,x516,x517,x518,x512,x519,x5110,x5111,x5112)) % 166.45/166.24 [52]~E(x521,x522)+E(f519(x523,x524,x525,x526,x527,x528,x529,x521,x5210,x5211,x5212),f519(x523,x524,x525,x526,x527,x528,x529,x522,x5210,x5211,x5212)) % 166.45/166.24 [53]~E(x531,x532)+E(f519(x533,x534,x535,x536,x537,x538,x539,x5310,x531,x5311,x5312),f519(x533,x534,x535,x536,x537,x538,x539,x5310,x532,x5311,x5312)) % 166.45/166.24 [54]~E(x541,x542)+E(f519(x543,x544,x545,x546,x547,x548,x549,x5410,x5411,x541,x5412),f519(x543,x544,x545,x546,x547,x548,x549,x5410,x5411,x542,x5412)) % 166.45/166.24 [55]~E(x551,x552)+E(f519(x553,x554,x555,x556,x557,x558,x559,x5510,x5511,x5512,x551),f519(x553,x554,x555,x556,x557,x558,x559,x5510,x5511,x5512,x552)) % 166.45/166.24 [56]~E(x561,x562)+E(f4(x561),f4(x562)) % 166.45/166.24 [57]~E(x571,x572)+E(f331(x571),f331(x572)) % 166.45/166.24 [58]~E(x581,x582)+E(f913(x581,x583),f913(x582,x583)) % 166.45/166.24 [59]~E(x591,x592)+E(f913(x593,x591),f913(x593,x592)) % 166.45/166.24 [60]~E(x601,x602)+E(f116(x601),f116(x602)) % 166.45/166.24 [61]~E(x611,x612)+E(f257(x611,x613),f257(x612,x613)) % 166.45/166.24 [62]~E(x621,x622)+E(f257(x623,x621),f257(x623,x622)) % 166.45/166.24 [63]~E(x631,x632)+E(f904(x631),f904(x632)) % 166.45/166.24 [64]~E(x641,x642)+E(f909(x641),f909(x642)) % 166.45/166.24 [65]~E(x651,x652)+E(f906(x651),f906(x652)) % 166.45/166.24 [66]~E(x661,x662)+E(f907(x661),f907(x662)) % 166.45/166.24 [67]~E(x671,x672)+E(f81(x671),f81(x672)) % 166.45/166.24 [68]~E(x681,x682)+E(f879(x681,x683,x684),f879(x682,x683,x684)) % 166.45/166.24 [69]~E(x691,x692)+E(f879(x693,x691,x694),f879(x693,x692,x694)) % 166.45/166.24 [70]~E(x701,x702)+E(f879(x703,x704,x701),f879(x703,x704,x702)) % 166.45/166.24 [71]~E(x711,x712)+E(f192(x711),f192(x712)) % 166.45/166.24 [72]~E(x721,x722)+E(f108(x721),f108(x722)) % 166.45/166.24 [73]~E(x731,x732)+E(f366(x731,x733),f366(x732,x733)) % 166.45/166.24 [74]~E(x741,x742)+E(f366(x743,x741),f366(x743,x742)) % 166.45/166.24 [75]~E(x751,x752)+E(f291(x751,x753,x754),f291(x752,x753,x754)) % 166.45/166.24 [76]~E(x761,x762)+E(f291(x763,x761,x764),f291(x763,x762,x764)) % 166.45/166.24 [77]~E(x771,x772)+E(f291(x773,x774,x771),f291(x773,x774,x772)) % 166.45/166.24 [78]~E(x781,x782)+E(f240(x781),f240(x782)) % 166.45/166.24 [79]~E(x791,x792)+E(f292(x791),f292(x792)) % 166.45/166.24 [80]~E(x801,x802)+E(f175(x801),f175(x802)) % 166.45/166.24 [81]~E(x811,x812)+E(f62(x811),f62(x812)) % 166.45/166.24 [82]~E(x821,x822)+E(f665(x821,x823,x824,x825,x826,x827),f665(x822,x823,x824,x825,x826,x827)) % 166.45/166.24 [83]~E(x831,x832)+E(f665(x833,x831,x834,x835,x836,x837),f665(x833,x832,x834,x835,x836,x837)) % 166.45/166.24 [84]~E(x841,x842)+E(f665(x843,x844,x841,x845,x846,x847),f665(x843,x844,x842,x845,x846,x847)) % 166.45/166.24 [85]~E(x851,x852)+E(f665(x853,x854,x855,x851,x856,x857),f665(x853,x854,x855,x852,x856,x857)) % 166.45/166.24 [86]~E(x861,x862)+E(f665(x863,x864,x865,x866,x861,x867),f665(x863,x864,x865,x866,x862,x867)) % 166.45/166.24 [87]~E(x871,x872)+E(f665(x873,x874,x875,x876,x877,x871),f665(x873,x874,x875,x876,x877,x872)) % 166.45/166.24 [88]~E(x881,x882)+E(f685(x881,x883,x884),f685(x882,x883,x884)) % 166.45/166.24 [89]~E(x891,x892)+E(f685(x893,x891,x894),f685(x893,x892,x894)) % 166.45/166.24 [90]~E(x901,x902)+E(f685(x903,x904,x901),f685(x903,x904,x902)) % 166.45/166.24 [91]~E(x911,x912)+E(f49(x911,x913),f49(x912,x913)) % 166.45/166.24 [92]~E(x921,x922)+E(f49(x923,x921),f49(x923,x922)) % 166.45/166.24 [93]~E(x931,x932)+E(f7(x931,x933,x934),f7(x932,x933,x934)) % 166.45/166.24 [94]~E(x941,x942)+E(f7(x943,x941,x944),f7(x943,x942,x944)) % 166.45/166.24 [95]~E(x951,x952)+E(f7(x953,x954,x951),f7(x953,x954,x952)) % 166.45/166.24 [96]~E(x961,x962)+E(f312(x961,x963,x964),f312(x962,x963,x964)) % 166.45/166.24 [97]~E(x971,x972)+E(f312(x973,x971,x974),f312(x973,x972,x974)) % 166.45/166.24 [98]~E(x981,x982)+E(f312(x983,x984,x981),f312(x983,x984,x982)) % 166.45/166.24 [99]~E(x991,x992)+E(f63(x991),f63(x992)) % 166.45/166.24 [100]~E(x1001,x1002)+E(f83(x1001),f83(x1002)) % 166.45/166.24 [101]~E(x1011,x1012)+E(f249(x1011),f249(x1012)) % 166.45/166.24 [102]~E(x1021,x1022)+E(f130(x1021,x1023,x1024),f130(x1022,x1023,x1024)) % 166.45/166.24 [103]~E(x1031,x1032)+E(f130(x1033,x1031,x1034),f130(x1033,x1032,x1034)) % 166.45/166.24 [104]~E(x1041,x1042)+E(f130(x1043,x1044,x1041),f130(x1043,x1044,x1042)) % 166.45/166.24 [105]~E(x1051,x1052)+E(f6(x1051,x1053),f6(x1052,x1053)) % 166.45/166.24 [106]~E(x1061,x1062)+E(f6(x1063,x1061),f6(x1063,x1062)) % 166.45/166.24 [107]~E(x1071,x1072)+E(f137(x1071),f137(x1072)) % 166.45/166.24 [108]~E(x1081,x1082)+E(f145(x1081,x1083,x1084,x1085),f145(x1082,x1083,x1084,x1085)) % 166.45/166.24 [109]~E(x1091,x1092)+E(f145(x1093,x1091,x1094,x1095),f145(x1093,x1092,x1094,x1095)) % 166.45/166.24 [110]~E(x1101,x1102)+E(f145(x1103,x1104,x1101,x1105),f145(x1103,x1104,x1102,x1105)) % 166.45/166.24 [111]~E(x1111,x1112)+E(f145(x1113,x1114,x1115,x1111),f145(x1113,x1114,x1115,x1112)) % 166.45/166.24 [112]~E(x1121,x1122)+E(f309(x1121,x1123),f309(x1122,x1123)) % 166.45/166.24 [113]~E(x1131,x1132)+E(f309(x1133,x1131),f309(x1133,x1132)) % 166.45/166.24 [114]~E(x1141,x1142)+E(f15(x1141,x1143),f15(x1142,x1143)) % 166.45/166.24 [115]~E(x1151,x1152)+E(f15(x1153,x1151),f15(x1153,x1152)) % 166.45/166.24 [116]~E(x1161,x1162)+E(f82(x1161),f82(x1162)) % 166.45/166.24 [117]~E(x1171,x1172)+E(f267(x1171),f267(x1172)) % 166.45/166.24 [118]~E(x1181,x1182)+E(f74(x1181,x1183,x1184,x1185),f74(x1182,x1183,x1184,x1185)) % 166.45/166.24 [119]~E(x1191,x1192)+E(f74(x1193,x1191,x1194,x1195),f74(x1193,x1192,x1194,x1195)) % 166.45/166.24 [120]~E(x1201,x1202)+E(f74(x1203,x1204,x1201,x1205),f74(x1203,x1204,x1202,x1205)) % 166.45/166.24 [121]~E(x1211,x1212)+E(f74(x1213,x1214,x1215,x1211),f74(x1213,x1214,x1215,x1212)) % 166.45/166.24 [122]~E(x1221,x1222)+E(f39(x1221,x1223),f39(x1222,x1223)) % 166.45/166.24 [123]~E(x1231,x1232)+E(f39(x1233,x1231),f39(x1233,x1232)) % 166.45/166.24 [124]~E(x1241,x1242)+E(f8(x1241,x1243,x1244),f8(x1242,x1243,x1244)) % 166.45/166.24 [125]~E(x1251,x1252)+E(f8(x1253,x1251,x1254),f8(x1253,x1252,x1254)) % 166.45/166.24 [126]~E(x1261,x1262)+E(f8(x1263,x1264,x1261),f8(x1263,x1264,x1262)) % 166.45/166.24 [127]~E(x1271,x1272)+E(f475(x1271,x1273,x1274),f475(x1272,x1273,x1274)) % 166.45/166.24 [128]~E(x1281,x1282)+E(f475(x1283,x1281,x1284),f475(x1283,x1282,x1284)) % 166.45/166.24 [129]~E(x1291,x1292)+E(f475(x1293,x1294,x1291),f475(x1293,x1294,x1292)) % 166.45/166.24 [130]~E(x1301,x1302)+E(f18(x1301,x1303,x1304),f18(x1302,x1303,x1304)) % 166.45/166.24 [131]~E(x1311,x1312)+E(f18(x1313,x1311,x1314),f18(x1313,x1312,x1314)) % 166.45/166.24 [132]~E(x1321,x1322)+E(f18(x1323,x1324,x1321),f18(x1323,x1324,x1322)) % 166.45/166.24 [133]~E(x1331,x1332)+E(f157(x1331,x1333),f157(x1332,x1333)) % 166.45/166.24 [134]~E(x1341,x1342)+E(f157(x1343,x1341),f157(x1343,x1342)) % 166.45/166.24 [135]~E(x1351,x1352)+E(f247(x1351),f247(x1352)) % 166.45/166.24 [136]~E(x1361,x1362)+E(f286(x1361),f286(x1362)) % 166.45/166.24 [137]~E(x1371,x1372)+E(f311(x1371),f311(x1372)) % 166.45/166.24 [138]~E(x1381,x1382)+E(f38(x1381),f38(x1382)) % 166.45/166.24 [139]~E(x1391,x1392)+E(f898(x1391,x1393,x1394,x1395,x1396),f898(x1392,x1393,x1394,x1395,x1396)) % 166.45/166.24 [140]~E(x1401,x1402)+E(f898(x1403,x1401,x1404,x1405,x1406),f898(x1403,x1402,x1404,x1405,x1406)) % 166.45/166.24 [141]~E(x1411,x1412)+E(f898(x1413,x1414,x1411,x1415,x1416),f898(x1413,x1414,x1412,x1415,x1416)) % 166.45/166.24 [142]~E(x1421,x1422)+E(f898(x1423,x1424,x1425,x1421,x1426),f898(x1423,x1424,x1425,x1422,x1426)) % 166.45/166.24 [143]~E(x1431,x1432)+E(f898(x1433,x1434,x1435,x1436,x1431),f898(x1433,x1434,x1435,x1436,x1432)) % 166.45/166.24 [144]~E(x1441,x1442)+E(f118(x1441),f118(x1442)) % 166.45/166.24 [145]~E(x1451,x1452)+E(f289(x1451,x1453),f289(x1452,x1453)) % 166.45/166.24 [146]~E(x1461,x1462)+E(f289(x1463,x1461),f289(x1463,x1462)) % 166.45/166.24 [147]~E(x1471,x1472)+E(f364(x1471,x1473),f364(x1472,x1473)) % 166.45/166.24 [148]~E(x1481,x1482)+E(f364(x1483,x1481),f364(x1483,x1482)) % 166.45/166.24 [149]~E(x1491,x1492)+E(f84(x1491,x1493),f84(x1492,x1493)) % 166.45/166.24 [150]~E(x1501,x1502)+E(f84(x1503,x1501),f84(x1503,x1502)) % 166.45/166.24 [151]~E(x1511,x1512)+E(f169(x1511,x1513,x1514),f169(x1512,x1513,x1514)) % 166.45/166.24 [152]~E(x1521,x1522)+E(f169(x1523,x1521,x1524),f169(x1523,x1522,x1524)) % 166.45/166.24 [153]~E(x1531,x1532)+E(f169(x1533,x1534,x1531),f169(x1533,x1534,x1532)) % 166.45/166.24 [154]~E(x1541,x1542)+E(f671(x1541,x1543,x1544,x1545),f671(x1542,x1543,x1544,x1545)) % 166.45/166.24 [155]~E(x1551,x1552)+E(f671(x1553,x1551,x1554,x1555),f671(x1553,x1552,x1554,x1555)) % 166.45/166.24 [156]~E(x1561,x1562)+E(f671(x1563,x1564,x1561,x1565),f671(x1563,x1564,x1562,x1565)) % 166.45/166.24 [157]~E(x1571,x1572)+E(f671(x1573,x1574,x1575,x1571),f671(x1573,x1574,x1575,x1572)) % 166.45/166.24 [158]~E(x1581,x1582)+E(f120(x1581),f120(x1582)) % 166.45/166.24 [159]~E(x1591,x1592)+E(f139(x1591,x1593),f139(x1592,x1593)) % 166.45/166.24 [160]~E(x1601,x1602)+E(f139(x1603,x1601),f139(x1603,x1602)) % 166.45/166.24 [161]~E(x1611,x1612)+E(f110(x1611),f110(x1612)) % 166.45/166.24 [162]~E(x1621,x1622)+E(f111(x1621),f111(x1622)) % 166.45/166.24 [163]~E(x1631,x1632)+E(f330(x1631),f330(x1632)) % 166.45/166.24 [164]~E(x1641,x1642)+E(f511(x1641,x1643,x1644),f511(x1642,x1643,x1644)) % 166.45/166.24 [165]~E(x1651,x1652)+E(f511(x1653,x1651,x1654),f511(x1653,x1652,x1654)) % 166.45/166.24 [166]~E(x1661,x1662)+E(f511(x1663,x1664,x1661),f511(x1663,x1664,x1662)) % 166.45/166.24 [167]~E(x1671,x1672)+E(f564(x1671),f564(x1672)) % 166.45/166.24 [168]~E(x1681,x1682)+E(f261(x1681,x1683),f261(x1682,x1683)) % 166.45/166.24 [169]~E(x1691,x1692)+E(f261(x1693,x1691),f261(x1693,x1692)) % 166.45/166.24 [170]~E(x1701,x1702)+E(f611(x1701,x1703),f611(x1702,x1703)) % 166.45/166.24 [171]~E(x1711,x1712)+E(f611(x1713,x1711),f611(x1713,x1712)) % 166.45/166.24 [172]~E(x1721,x1722)+E(f246(x1721,x1723),f246(x1722,x1723)) % 166.45/166.24 [173]~E(x1731,x1732)+E(f246(x1733,x1731),f246(x1733,x1732)) % 166.45/166.24 [174]~E(x1741,x1742)+E(f164(x1741,x1743),f164(x1742,x1743)) % 166.45/166.24 [175]~E(x1751,x1752)+E(f164(x1753,x1751),f164(x1753,x1752)) % 166.45/166.24 [176]~E(x1761,x1762)+E(f911(x1761,x1763),f911(x1762,x1763)) % 166.45/166.24 [177]~E(x1771,x1772)+E(f911(x1773,x1771),f911(x1773,x1772)) % 166.45/166.24 [178]~E(x1781,x1782)+E(f50(x1781,x1783),f50(x1782,x1783)) % 166.45/166.24 [179]~E(x1791,x1792)+E(f50(x1793,x1791),f50(x1793,x1792)) % 166.45/166.24 [180]~E(x1801,x1802)+E(f119(x1801,x1803),f119(x1802,x1803)) % 166.45/166.24 [181]~E(x1811,x1812)+E(f119(x1813,x1811),f119(x1813,x1812)) % 166.45/166.24 [182]~E(x1821,x1822)+E(f5(x1821),f5(x1822)) % 166.45/166.24 [183]~E(x1831,x1832)+E(f516(x1831,x1833,x1834,x1835,x1836,x1837,x1838),f516(x1832,x1833,x1834,x1835,x1836,x1837,x1838)) % 166.45/166.24 [184]~E(x1841,x1842)+E(f516(x1843,x1841,x1844,x1845,x1846,x1847,x1848),f516(x1843,x1842,x1844,x1845,x1846,x1847,x1848)) % 166.45/166.24 [185]~E(x1851,x1852)+E(f516(x1853,x1854,x1851,x1855,x1856,x1857,x1858),f516(x1853,x1854,x1852,x1855,x1856,x1857,x1858)) % 166.45/166.24 [186]~E(x1861,x1862)+E(f516(x1863,x1864,x1865,x1861,x1866,x1867,x1868),f516(x1863,x1864,x1865,x1862,x1866,x1867,x1868)) % 166.45/166.24 [187]~E(x1871,x1872)+E(f516(x1873,x1874,x1875,x1876,x1871,x1877,x1878),f516(x1873,x1874,x1875,x1876,x1872,x1877,x1878)) % 166.45/166.24 [188]~E(x1881,x1882)+E(f516(x1883,x1884,x1885,x1886,x1887,x1881,x1888),f516(x1883,x1884,x1885,x1886,x1887,x1882,x1888)) % 166.45/166.24 [189]~E(x1891,x1892)+E(f516(x1893,x1894,x1895,x1896,x1897,x1898,x1891),f516(x1893,x1894,x1895,x1896,x1897,x1898,x1892)) % 166.45/166.24 [190]~E(x1901,x1902)+E(f844(x1901,x1903,x1904),f844(x1902,x1903,x1904)) % 166.45/166.24 [191]~E(x1911,x1912)+E(f844(x1913,x1911,x1914),f844(x1913,x1912,x1914)) % 166.45/166.24 [192]~E(x1921,x1922)+E(f844(x1923,x1924,x1921),f844(x1923,x1924,x1922)) % 166.45/166.24 [193]~E(x1931,x1932)+E(f317(x1931,x1933),f317(x1932,x1933)) % 166.45/166.24 [194]~E(x1941,x1942)+E(f317(x1943,x1941),f317(x1943,x1942)) % 166.45/166.24 [195]~E(x1951,x1952)+E(f304(x1951,x1953),f304(x1952,x1953)) % 166.45/166.24 [196]~E(x1961,x1962)+E(f304(x1963,x1961),f304(x1963,x1962)) % 166.45/166.24 [197]~E(x1971,x1972)+E(f13(x1971,x1973),f13(x1972,x1973)) % 166.45/166.24 [198]~E(x1981,x1982)+E(f13(x1983,x1981),f13(x1983,x1982)) % 166.45/166.24 [199]~E(x1991,x1992)+E(f93(x1991),f93(x1992)) % 166.45/166.24 [200]~E(x2001,x2002)+E(f154(x2001),f154(x2002)) % 166.45/166.24 [201]~E(x2011,x2012)+E(f308(x2011,x2013,x2014),f308(x2012,x2013,x2014)) % 166.45/166.24 [202]~E(x2021,x2022)+E(f308(x2023,x2021,x2024),f308(x2023,x2022,x2024)) % 166.45/166.24 [203]~E(x2031,x2032)+E(f308(x2033,x2034,x2031),f308(x2033,x2034,x2032)) % 166.45/166.24 [204]~E(x2041,x2042)+E(f92(x2041,x2043),f92(x2042,x2043)) % 166.45/166.24 [205]~E(x2051,x2052)+E(f92(x2053,x2051),f92(x2053,x2052)) % 166.45/166.24 [206]~E(x2061,x2062)+E(f551(x2061,x2063,x2064,x2065,x2066,x2067),f551(x2062,x2063,x2064,x2065,x2066,x2067)) % 166.45/166.24 [207]~E(x2071,x2072)+E(f551(x2073,x2071,x2074,x2075,x2076,x2077),f551(x2073,x2072,x2074,x2075,x2076,x2077)) % 166.45/166.24 [208]~E(x2081,x2082)+E(f551(x2083,x2084,x2081,x2085,x2086,x2087),f551(x2083,x2084,x2082,x2085,x2086,x2087)) % 166.45/166.24 [209]~E(x2091,x2092)+E(f551(x2093,x2094,x2095,x2091,x2096,x2097),f551(x2093,x2094,x2095,x2092,x2096,x2097)) % 166.45/166.24 [210]~E(x2101,x2102)+E(f551(x2103,x2104,x2105,x2106,x2101,x2107),f551(x2103,x2104,x2105,x2106,x2102,x2107)) % 166.45/166.24 [211]~E(x2111,x2112)+E(f551(x2113,x2114,x2115,x2116,x2117,x2111),f551(x2113,x2114,x2115,x2116,x2117,x2112)) % 166.45/166.24 [212]~E(x2121,x2122)+E(f305(x2121,x2123,x2124),f305(x2122,x2123,x2124)) % 166.45/166.24 [213]~E(x2131,x2132)+E(f305(x2133,x2131,x2134),f305(x2133,x2132,x2134)) % 166.45/166.24 [214]~E(x2141,x2142)+E(f305(x2143,x2144,x2141),f305(x2143,x2144,x2142)) % 166.45/166.24 [215]~E(x2151,x2152)+E(f425(x2151,x2153,x2154,x2155,x2156),f425(x2152,x2153,x2154,x2155,x2156)) % 166.45/166.24 [216]~E(x2161,x2162)+E(f425(x2163,x2161,x2164,x2165,x2166),f425(x2163,x2162,x2164,x2165,x2166)) % 166.45/166.24 [217]~E(x2171,x2172)+E(f425(x2173,x2174,x2171,x2175,x2176),f425(x2173,x2174,x2172,x2175,x2176)) % 166.45/166.24 [218]~E(x2181,x2182)+E(f425(x2183,x2184,x2185,x2181,x2186),f425(x2183,x2184,x2185,x2182,x2186)) % 166.45/166.24 [219]~E(x2191,x2192)+E(f425(x2193,x2194,x2195,x2196,x2191),f425(x2193,x2194,x2195,x2196,x2192)) % 166.45/166.24 [220]~E(x2201,x2202)+E(f412(x2201,x2203),f412(x2202,x2203)) % 166.45/166.24 [221]~E(x2211,x2212)+E(f412(x2213,x2211),f412(x2213,x2212)) % 166.45/166.24 [222]~E(x2221,x2222)+E(f178(x2221),f178(x2222)) % 166.45/166.24 [223]~E(x2231,x2232)+E(f339(x2231),f339(x2232)) % 166.45/166.24 [224]~E(x2241,x2242)+E(f883(x2241,x2243,x2244,x2245,x2246),f883(x2242,x2243,x2244,x2245,x2246)) % 166.45/166.24 [225]~E(x2251,x2252)+E(f883(x2253,x2251,x2254,x2255,x2256),f883(x2253,x2252,x2254,x2255,x2256)) % 166.45/166.24 [226]~E(x2261,x2262)+E(f883(x2263,x2264,x2261,x2265,x2266),f883(x2263,x2264,x2262,x2265,x2266)) % 166.45/166.24 [227]~E(x2271,x2272)+E(f883(x2273,x2274,x2275,x2271,x2276),f883(x2273,x2274,x2275,x2272,x2276)) % 166.45/166.24 [228]~E(x2281,x2282)+E(f883(x2283,x2284,x2285,x2286,x2281),f883(x2283,x2284,x2285,x2286,x2282)) % 166.45/166.24 [229]~E(x2291,x2292)+E(f259(x2291,x2293),f259(x2292,x2293)) % 166.45/166.24 [230]~E(x2301,x2302)+E(f259(x2303,x2301),f259(x2303,x2302)) % 166.45/166.24 [231]~E(x2311,x2312)+E(f177(x2311,x2313,x2314),f177(x2312,x2313,x2314)) % 166.45/166.24 [232]~E(x2321,x2322)+E(f177(x2323,x2321,x2324),f177(x2323,x2322,x2324)) % 166.45/166.24 [233]~E(x2331,x2332)+E(f177(x2333,x2334,x2331),f177(x2333,x2334,x2332)) % 166.45/166.24 [234]~E(x2341,x2342)+E(f262(x2341,x2343,x2344),f262(x2342,x2343,x2344)) % 166.45/166.24 [235]~E(x2351,x2352)+E(f262(x2353,x2351,x2354),f262(x2353,x2352,x2354)) % 166.45/166.24 [236]~E(x2361,x2362)+E(f262(x2363,x2364,x2361),f262(x2363,x2364,x2362)) % 166.45/166.24 [237]~E(x2371,x2372)+E(f99(x2371),f99(x2372)) % 166.45/166.24 [238]~E(x2381,x2382)+E(f41(x2381,x2383),f41(x2382,x2383)) % 166.45/166.24 [239]~E(x2391,x2392)+E(f41(x2393,x2391),f41(x2393,x2392)) % 166.45/166.24 [240]~E(x2401,x2402)+E(f67(x2401,x2403,x2404),f67(x2402,x2403,x2404)) % 166.45/166.24 [241]~E(x2411,x2412)+E(f67(x2413,x2411,x2414),f67(x2413,x2412,x2414)) % 166.45/166.24 [242]~E(x2421,x2422)+E(f67(x2423,x2424,x2421),f67(x2423,x2424,x2422)) % 166.45/166.24 [243]~E(x2431,x2432)+E(f848(x2431,x2433,x2434),f848(x2432,x2433,x2434)) % 166.45/166.24 [244]~E(x2441,x2442)+E(f848(x2443,x2441,x2444),f848(x2443,x2442,x2444)) % 166.45/166.24 [245]~E(x2451,x2452)+E(f848(x2453,x2454,x2451),f848(x2453,x2454,x2452)) % 166.45/166.24 [246]~E(x2461,x2462)+E(f184(x2461,x2463),f184(x2462,x2463)) % 166.45/166.24 [247]~E(x2471,x2472)+E(f184(x2473,x2471),f184(x2473,x2472)) % 166.45/166.24 [248]~E(x2481,x2482)+E(f171(x2481),f171(x2482)) % 166.45/166.24 [249]~E(x2491,x2492)+E(f256(x2491,x2493),f256(x2492,x2493)) % 166.45/166.24 [250]~E(x2501,x2502)+E(f256(x2503,x2501),f256(x2503,x2502)) % 166.45/166.24 [251]~E(x2511,x2512)+E(f9(x2511,x2513),f9(x2512,x2513)) % 166.45/166.24 [252]~E(x2521,x2522)+E(f9(x2523,x2521),f9(x2523,x2522)) % 166.45/166.24 [253]~E(x2531,x2532)+E(f506(x2531,x2533,x2534),f506(x2532,x2533,x2534)) % 166.45/166.24 [254]~E(x2541,x2542)+E(f506(x2543,x2541,x2544),f506(x2543,x2542,x2544)) % 166.45/166.24 [255]~E(x2551,x2552)+E(f506(x2553,x2554,x2551),f506(x2553,x2554,x2552)) % 166.45/166.24 [256]~E(x2561,x2562)+E(f76(x2561,x2563,x2564,x2565,x2566),f76(x2562,x2563,x2564,x2565,x2566)) % 166.45/166.24 [257]~E(x2571,x2572)+E(f76(x2573,x2571,x2574,x2575,x2576),f76(x2573,x2572,x2574,x2575,x2576)) % 166.45/166.24 [258]~E(x2581,x2582)+E(f76(x2583,x2584,x2581,x2585,x2586),f76(x2583,x2584,x2582,x2585,x2586)) % 166.45/166.24 [259]~E(x2591,x2592)+E(f76(x2593,x2594,x2595,x2591,x2596),f76(x2593,x2594,x2595,x2592,x2596)) % 166.45/166.24 [260]~E(x2601,x2602)+E(f76(x2603,x2604,x2605,x2606,x2601),f76(x2603,x2604,x2605,x2606,x2602)) % 166.45/166.24 [261]~E(x2611,x2612)+E(f56(x2611,x2613),f56(x2612,x2613)) % 166.45/166.24 [262]~E(x2621,x2622)+E(f56(x2623,x2621),f56(x2623,x2622)) % 166.45/166.24 [263]~E(x2631,x2632)+E(f88(x2631,x2633),f88(x2632,x2633)) % 166.45/166.24 [264]~E(x2641,x2642)+E(f88(x2643,x2641),f88(x2643,x2642)) % 166.45/166.24 [265]~E(x2651,x2652)+E(f172(x2651,x2653,x2654),f172(x2652,x2653,x2654)) % 166.45/166.24 [266]~E(x2661,x2662)+E(f172(x2663,x2661,x2664),f172(x2663,x2662,x2664)) % 166.45/166.24 [267]~E(x2671,x2672)+E(f172(x2673,x2674,x2671),f172(x2673,x2674,x2672)) % 166.45/166.24 [268]~E(x2681,x2682)+E(f174(x2681),f174(x2682)) % 166.45/166.24 [269]~E(x2691,x2692)+E(f797(x2691,x2693,x2694),f797(x2692,x2693,x2694)) % 166.45/166.24 [270]~E(x2701,x2702)+E(f797(x2703,x2701,x2704),f797(x2703,x2702,x2704)) % 166.45/166.24 [271]~E(x2711,x2712)+E(f797(x2713,x2714,x2711),f797(x2713,x2714,x2712)) % 166.45/166.24 [272]~E(x2721,x2722)+E(f589(x2721,x2723,x2724),f589(x2722,x2723,x2724)) % 166.45/166.24 [273]~E(x2731,x2732)+E(f589(x2733,x2731,x2734),f589(x2733,x2732,x2734)) % 166.45/166.24 [274]~E(x2741,x2742)+E(f589(x2743,x2744,x2741),f589(x2743,x2744,x2742)) % 166.45/166.24 [275]~E(x2751,x2752)+E(f66(x2751,x2753,x2754),f66(x2752,x2753,x2754)) % 166.45/166.24 [276]~E(x2761,x2762)+E(f66(x2763,x2761,x2764),f66(x2763,x2762,x2764)) % 166.45/166.24 [277]~E(x2771,x2772)+E(f66(x2773,x2774,x2771),f66(x2773,x2774,x2772)) % 166.45/166.24 [278]~E(x2781,x2782)+E(f167(x2781),f167(x2782)) % 166.45/166.24 [279]~E(x2791,x2792)+E(f284(x2791),f284(x2792)) % 166.45/166.24 [280]~E(x2801,x2802)+E(f599(x2801,x2803,x2804),f599(x2802,x2803,x2804)) % 166.45/166.24 [281]~E(x2811,x2812)+E(f599(x2813,x2811,x2814),f599(x2813,x2812,x2814)) % 166.45/166.24 [282]~E(x2821,x2822)+E(f599(x2823,x2824,x2821),f599(x2823,x2824,x2822)) % 166.45/166.24 [283]~E(x2831,x2832)+E(f155(x2831,x2833),f155(x2832,x2833)) % 166.45/166.24 [284]~E(x2841,x2842)+E(f155(x2843,x2841),f155(x2843,x2842)) % 166.45/166.24 [285]~E(x2851,x2852)+E(f878(x2851,x2853,x2854,x2855),f878(x2852,x2853,x2854,x2855)) % 166.45/166.24 [286]~E(x2861,x2862)+E(f878(x2863,x2861,x2864,x2865),f878(x2863,x2862,x2864,x2865)) % 166.45/166.24 [287]~E(x2871,x2872)+E(f878(x2873,x2874,x2871,x2875),f878(x2873,x2874,x2872,x2875)) % 166.45/166.24 [288]~E(x2881,x2882)+E(f878(x2883,x2884,x2885,x2881),f878(x2883,x2884,x2885,x2882)) % 166.45/166.24 [289]~E(x2891,x2892)+E(f194(x2891),f194(x2892)) % 166.45/166.24 [290]~E(x2901,x2902)+E(f37(x2901),f37(x2902)) % 166.45/166.24 [291]~E(x2911,x2912)+E(f14(x2911,x2913),f14(x2912,x2913)) % 166.45/166.24 [292]~E(x2921,x2922)+E(f14(x2923,x2921),f14(x2923,x2922)) % 166.45/166.24 [293]~E(x2931,x2932)+E(f148(x2931,x2933),f148(x2932,x2933)) % 166.45/166.24 [294]~E(x2941,x2942)+E(f148(x2943,x2941),f148(x2943,x2942)) % 166.45/166.24 [295]~E(x2951,x2952)+E(f705(x2951,x2953,x2954,x2955,x2956),f705(x2952,x2953,x2954,x2955,x2956)) % 166.45/166.24 [296]~E(x2961,x2962)+E(f705(x2963,x2961,x2964,x2965,x2966),f705(x2963,x2962,x2964,x2965,x2966)) % 166.45/166.24 [297]~E(x2971,x2972)+E(f705(x2973,x2974,x2971,x2975,x2976),f705(x2973,x2974,x2972,x2975,x2976)) % 166.45/166.24 [298]~E(x2981,x2982)+E(f705(x2983,x2984,x2985,x2981,x2986),f705(x2983,x2984,x2985,x2982,x2986)) % 166.45/166.24 [299]~E(x2991,x2992)+E(f705(x2993,x2994,x2995,x2996,x2991),f705(x2993,x2994,x2995,x2996,x2992)) % 166.45/166.24 [300]~E(x3001,x3002)+E(f150(x3001,x3003),f150(x3002,x3003)) % 166.45/166.24 [301]~E(x3011,x3012)+E(f150(x3013,x3011),f150(x3013,x3012)) % 166.45/166.24 [302]~E(x3021,x3022)+E(f47(x3021,x3023,x3024),f47(x3022,x3023,x3024)) % 166.45/166.24 [303]~E(x3031,x3032)+E(f47(x3033,x3031,x3034),f47(x3033,x3032,x3034)) % 166.45/166.24 [304]~E(x3041,x3042)+E(f47(x3043,x3044,x3041),f47(x3043,x3044,x3042)) % 166.45/166.24 [305]~E(x3051,x3052)+E(f264(x3051,x3053,x3054,x3055),f264(x3052,x3053,x3054,x3055)) % 166.45/166.24 [306]~E(x3061,x3062)+E(f264(x3063,x3061,x3064,x3065),f264(x3063,x3062,x3064,x3065)) % 166.45/166.24 [307]~E(x3071,x3072)+E(f264(x3073,x3074,x3071,x3075),f264(x3073,x3074,x3072,x3075)) % 166.45/166.24 [308]~E(x3081,x3082)+E(f264(x3083,x3084,x3085,x3081),f264(x3083,x3084,x3085,x3082)) % 166.45/166.24 [309]~E(x3091,x3092)+E(f910(x3091,x3093),f910(x3092,x3093)) % 166.45/166.24 [310]~E(x3101,x3102)+E(f910(x3103,x3101),f910(x3103,x3102)) % 166.45/166.24 [311]~E(x3111,x3112)+E(f170(x3111),f170(x3112)) % 166.45/166.24 [312]~E(x3121,x3122)+E(f548(x3121,x3123,x3124,x3125),f548(x3122,x3123,x3124,x3125)) % 166.45/166.24 [313]~E(x3131,x3132)+E(f548(x3133,x3131,x3134,x3135),f548(x3133,x3132,x3134,x3135)) % 166.45/166.24 [314]~E(x3141,x3142)+E(f548(x3143,x3144,x3141,x3145),f548(x3143,x3144,x3142,x3145)) % 166.45/166.24 [315]~E(x3151,x3152)+E(f548(x3153,x3154,x3155,x3151),f548(x3153,x3154,x3155,x3152)) % 166.45/166.24 [316]~E(x3161,x3162)+E(f16(x3161,x3163),f16(x3162,x3163)) % 166.45/166.24 [317]~E(x3171,x3172)+E(f16(x3173,x3171),f16(x3173,x3172)) % 166.45/166.24 [318]~E(x3181,x3182)+E(f313(x3181,x3183,x3184),f313(x3182,x3183,x3184)) % 166.45/166.24 [319]~E(x3191,x3192)+E(f313(x3193,x3191,x3194),f313(x3193,x3192,x3194)) % 166.45/166.24 [320]~E(x3201,x3202)+E(f313(x3203,x3204,x3201),f313(x3203,x3204,x3202)) % 166.45/166.24 [321]~E(x3211,x3212)+E(f643(x3211,x3213,x3214),f643(x3212,x3213,x3214)) % 166.45/166.24 [322]~E(x3221,x3222)+E(f643(x3223,x3221,x3224),f643(x3223,x3222,x3224)) % 166.45/166.24 [323]~E(x3231,x3232)+E(f643(x3233,x3234,x3231),f643(x3233,x3234,x3232)) % 166.45/166.24 [324]~E(x3241,x3242)+E(f94(x3241,x3243,x3244,x3245),f94(x3242,x3243,x3244,x3245)) % 166.45/166.24 [325]~E(x3251,x3252)+E(f94(x3253,x3251,x3254,x3255),f94(x3253,x3252,x3254,x3255)) % 166.45/166.24 [326]~E(x3261,x3262)+E(f94(x3263,x3264,x3261,x3265),f94(x3263,x3264,x3262,x3265)) % 166.45/166.24 [327]~E(x3271,x3272)+E(f94(x3273,x3274,x3275,x3271),f94(x3273,x3274,x3275,x3272)) % 166.45/166.24 [328]~E(x3281,x3282)+E(f845(x3281,x3283,x3284),f845(x3282,x3283,x3284)) % 166.45/166.24 [329]~E(x3291,x3292)+E(f845(x3293,x3291,x3294),f845(x3293,x3292,x3294)) % 166.45/166.24 [330]~E(x3301,x3302)+E(f845(x3303,x3304,x3301),f845(x3303,x3304,x3302)) % 166.45/166.24 [331]~E(x3311,x3312)+E(f186(x3311,x3313),f186(x3312,x3313)) % 166.45/166.24 [332]~E(x3321,x3322)+E(f186(x3323,x3321),f186(x3323,x3322)) % 166.45/166.24 [333]~E(x3331,x3332)+E(f141(x3331),f141(x3332)) % 166.45/166.24 [334]~E(x3341,x3342)+E(f31(x3341,x3343),f31(x3342,x3343)) % 166.45/166.24 [335]~E(x3351,x3352)+E(f31(x3353,x3351),f31(x3353,x3352)) % 166.45/166.24 [336]~E(x3361,x3362)+E(f77(x3361),f77(x3362)) % 166.45/166.24 [337]~E(x3371,x3372)+E(f299(x3371,x3373,x3374,x3375,x3376),f299(x3372,x3373,x3374,x3375,x3376)) % 166.45/166.24 [338]~E(x3381,x3382)+E(f299(x3383,x3381,x3384,x3385,x3386),f299(x3383,x3382,x3384,x3385,x3386)) % 166.45/166.24 [339]~E(x3391,x3392)+E(f299(x3393,x3394,x3391,x3395,x3396),f299(x3393,x3394,x3392,x3395,x3396)) % 166.45/166.24 [340]~E(x3401,x3402)+E(f299(x3403,x3404,x3405,x3401,x3406),f299(x3403,x3404,x3405,x3402,x3406)) % 166.45/166.24 [341]~E(x3411,x3412)+E(f299(x3413,x3414,x3415,x3416,x3411),f299(x3413,x3414,x3415,x3416,x3412)) % 166.45/166.24 [342]~E(x3421,x3422)+E(f796(x3421,x3423,x3424),f796(x3422,x3423,x3424)) % 166.45/166.24 [343]~E(x3431,x3432)+E(f796(x3433,x3431,x3434),f796(x3433,x3432,x3434)) % 166.45/166.24 [344]~E(x3441,x3442)+E(f796(x3443,x3444,x3441),f796(x3443,x3444,x3442)) % 166.45/166.24 [345]~E(x3451,x3452)+E(f182(x3451,x3453),f182(x3452,x3453)) % 166.45/166.24 [346]~E(x3461,x3462)+E(f182(x3463,x3461),f182(x3463,x3462)) % 166.45/166.24 [347]~E(x3471,x3472)+E(f243(x3471,x3473),f243(x3472,x3473)) % 166.45/166.24 [348]~E(x3481,x3482)+E(f243(x3483,x3481),f243(x3483,x3482)) % 166.45/166.24 [349]~E(x3491,x3492)+E(f849(x3491,x3493,x3494),f849(x3492,x3493,x3494)) % 166.45/166.24 [350]~E(x3501,x3502)+E(f849(x3503,x3501,x3504),f849(x3503,x3502,x3504)) % 166.45/166.24 [351]~E(x3511,x3512)+E(f849(x3513,x3514,x3511),f849(x3513,x3514,x3512)) % 166.45/166.24 [352]~E(x3521,x3522)+E(f318(x3521,x3523),f318(x3522,x3523)) % 166.45/166.24 [353]~E(x3531,x3532)+E(f318(x3533,x3531),f318(x3533,x3532)) % 166.45/166.24 [354]~E(x3541,x3542)+E(f320(x3541,x3543),f320(x3542,x3543)) % 166.45/166.24 [355]~E(x3551,x3552)+E(f320(x3553,x3551),f320(x3553,x3552)) % 166.45/166.24 [356]~E(x3561,x3562)+E(f173(x3561,x3563,x3564),f173(x3562,x3563,x3564)) % 166.45/166.24 [357]~E(x3571,x3572)+E(f173(x3573,x3571,x3574),f173(x3573,x3572,x3574)) % 166.45/166.24 [358]~E(x3581,x3582)+E(f173(x3583,x3584,x3581),f173(x3583,x3584,x3582)) % 166.45/166.24 [359]~E(x3591,x3592)+E(f321(x3591,x3593),f321(x3592,x3593)) % 166.45/166.24 [360]~E(x3601,x3602)+E(f321(x3603,x3601),f321(x3603,x3602)) % 166.45/166.24 [361]~E(x3611,x3612)+E(f843(x3611,x3613,x3614),f843(x3612,x3613,x3614)) % 166.45/166.24 [362]~E(x3621,x3622)+E(f843(x3623,x3621,x3624),f843(x3623,x3622,x3624)) % 166.45/166.24 [363]~E(x3631,x3632)+E(f843(x3633,x3634,x3631),f843(x3633,x3634,x3632)) % 166.45/166.24 [364]~E(x3641,x3642)+E(f142(x3641,x3643),f142(x3642,x3643)) % 166.45/166.24 [365]~E(x3651,x3652)+E(f142(x3653,x3651),f142(x3653,x3652)) % 166.45/166.24 [366]~E(x3661,x3662)+E(f819(x3661,x3663,x3664),f819(x3662,x3663,x3664)) % 166.45/166.24 [367]~E(x3671,x3672)+E(f819(x3673,x3671,x3674),f819(x3673,x3672,x3674)) % 166.45/166.24 [368]~E(x3681,x3682)+E(f819(x3683,x3684,x3681),f819(x3683,x3684,x3682)) % 166.45/166.24 [369]~E(x3691,x3692)+E(f288(x3691,x3693,x3694),f288(x3692,x3693,x3694)) % 166.45/166.24 [370]~E(x3701,x3702)+E(f288(x3703,x3701,x3704),f288(x3703,x3702,x3704)) % 166.45/166.24 [371]~E(x3711,x3712)+E(f288(x3713,x3714,x3711),f288(x3713,x3714,x3712)) % 166.45/166.24 [372]~E(x3721,x3722)+E(f40(x3721,x3723),f40(x3722,x3723)) % 166.45/166.24 [373]~E(x3731,x3732)+E(f40(x3733,x3731),f40(x3733,x3732)) % 166.45/166.24 [374]~E(x3741,x3742)+E(f652(x3741,x3743,x3744,x3745),f652(x3742,x3743,x3744,x3745)) % 166.45/166.24 [375]~E(x3751,x3752)+E(f652(x3753,x3751,x3754,x3755),f652(x3753,x3752,x3754,x3755)) % 166.45/166.24 [376]~E(x3761,x3762)+E(f652(x3763,x3764,x3761,x3765),f652(x3763,x3764,x3762,x3765)) % 166.45/166.24 [377]~E(x3771,x3772)+E(f652(x3773,x3774,x3775,x3771),f652(x3773,x3774,x3775,x3772)) % 166.45/166.24 [378]~E(x3781,x3782)+E(f734(x3781,x3783),f734(x3782,x3783)) % 166.45/166.24 [379]~E(x3791,x3792)+E(f734(x3793,x3791),f734(x3793,x3792)) % 166.45/166.24 [380]~E(x3801,x3802)+E(f341(x3801,x3803),f341(x3802,x3803)) % 166.45/166.24 [381]~E(x3811,x3812)+E(f341(x3813,x3811),f341(x3813,x3812)) % 166.45/166.24 [382]~E(x3821,x3822)+E(f621(x3821,x3823,x3824,x3825,x3826),f621(x3822,x3823,x3824,x3825,x3826)) % 166.45/166.24 [383]~E(x3831,x3832)+E(f621(x3833,x3831,x3834,x3835,x3836),f621(x3833,x3832,x3834,x3835,x3836)) % 166.45/166.24 [384]~E(x3841,x3842)+E(f621(x3843,x3844,x3841,x3845,x3846),f621(x3843,x3844,x3842,x3845,x3846)) % 166.45/166.24 [385]~E(x3851,x3852)+E(f621(x3853,x3854,x3855,x3851,x3856),f621(x3853,x3854,x3855,x3852,x3856)) % 166.45/166.24 [386]~E(x3861,x3862)+E(f621(x3863,x3864,x3865,x3866,x3861),f621(x3863,x3864,x3865,x3866,x3862)) % 166.45/166.24 [387]~E(x3871,x3872)+E(f310(x3871),f310(x3872)) % 166.45/166.24 [388]~E(x3881,x3882)+E(f746(x3881,x3883,x3884,x3885,x3886,x3887,x3888,x3889),f746(x3882,x3883,x3884,x3885,x3886,x3887,x3888,x3889)) % 166.45/166.24 [389]~E(x3891,x3892)+E(f746(x3893,x3891,x3894,x3895,x3896,x3897,x3898,x3899),f746(x3893,x3892,x3894,x3895,x3896,x3897,x3898,x3899)) % 166.45/166.24 [390]~E(x3901,x3902)+E(f746(x3903,x3904,x3901,x3905,x3906,x3907,x3908,x3909),f746(x3903,x3904,x3902,x3905,x3906,x3907,x3908,x3909)) % 166.45/166.24 [391]~E(x3911,x3912)+E(f746(x3913,x3914,x3915,x3911,x3916,x3917,x3918,x3919),f746(x3913,x3914,x3915,x3912,x3916,x3917,x3918,x3919)) % 166.45/166.24 [392]~E(x3921,x3922)+E(f746(x3923,x3924,x3925,x3926,x3921,x3927,x3928,x3929),f746(x3923,x3924,x3925,x3926,x3922,x3927,x3928,x3929)) % 166.45/166.24 [393]~E(x3931,x3932)+E(f746(x3933,x3934,x3935,x3936,x3937,x3931,x3938,x3939),f746(x3933,x3934,x3935,x3936,x3937,x3932,x3938,x3939)) % 166.45/166.24 [394]~E(x3941,x3942)+E(f746(x3943,x3944,x3945,x3946,x3947,x3948,x3941,x3949),f746(x3943,x3944,x3945,x3946,x3947,x3948,x3942,x3949)) % 166.45/166.24 [395]~E(x3951,x3952)+E(f746(x3953,x3954,x3955,x3956,x3957,x3958,x3959,x3951),f746(x3953,x3954,x3955,x3956,x3957,x3958,x3959,x3952)) % 166.45/166.24 [396]~E(x3961,x3962)+E(f629(x3961,x3963,x3964,x3965,x3966,x3967,x3968),f629(x3962,x3963,x3964,x3965,x3966,x3967,x3968)) % 166.45/166.24 [397]~E(x3971,x3972)+E(f629(x3973,x3971,x3974,x3975,x3976,x3977,x3978),f629(x3973,x3972,x3974,x3975,x3976,x3977,x3978)) % 166.45/166.24 [398]~E(x3981,x3982)+E(f629(x3983,x3984,x3981,x3985,x3986,x3987,x3988),f629(x3983,x3984,x3982,x3985,x3986,x3987,x3988)) % 166.45/166.24 [399]~E(x3991,x3992)+E(f629(x3993,x3994,x3995,x3991,x3996,x3997,x3998),f629(x3993,x3994,x3995,x3992,x3996,x3997,x3998)) % 166.45/166.24 [400]~E(x4001,x4002)+E(f629(x4003,x4004,x4005,x4006,x4001,x4007,x4008),f629(x4003,x4004,x4005,x4006,x4002,x4007,x4008)) % 166.45/166.24 [401]~E(x4011,x4012)+E(f629(x4013,x4014,x4015,x4016,x4017,x4011,x4018),f629(x4013,x4014,x4015,x4016,x4017,x4012,x4018)) % 166.45/166.24 [402]~E(x4021,x4022)+E(f629(x4023,x4024,x4025,x4026,x4027,x4028,x4021),f629(x4023,x4024,x4025,x4026,x4027,x4028,x4022)) % 166.45/166.24 [403]~E(x4031,x4032)+E(f523(x4031,x4033,x4034,x4035,x4036),f523(x4032,x4033,x4034,x4035,x4036)) % 166.45/166.24 [404]~E(x4041,x4042)+E(f523(x4043,x4041,x4044,x4045,x4046),f523(x4043,x4042,x4044,x4045,x4046)) % 166.45/166.24 [405]~E(x4051,x4052)+E(f523(x4053,x4054,x4051,x4055,x4056),f523(x4053,x4054,x4052,x4055,x4056)) % 166.45/166.24 [406]~E(x4061,x4062)+E(f523(x4063,x4064,x4065,x4061,x4066),f523(x4063,x4064,x4065,x4062,x4066)) % 166.45/166.24 [407]~E(x4071,x4072)+E(f523(x4073,x4074,x4075,x4076,x4071),f523(x4073,x4074,x4075,x4076,x4072)) % 166.45/166.24 [408]~E(x4081,x4082)+E(f806(x4081,x4083,x4084,x4085),f806(x4082,x4083,x4084,x4085)) % 166.45/166.24 [409]~E(x4091,x4092)+E(f806(x4093,x4091,x4094,x4095),f806(x4093,x4092,x4094,x4095)) % 166.45/166.24 [410]~E(x4101,x4102)+E(f806(x4103,x4104,x4101,x4105),f806(x4103,x4104,x4102,x4105)) % 166.45/166.24 [411]~E(x4111,x4112)+E(f806(x4113,x4114,x4115,x4111),f806(x4113,x4114,x4115,x4112)) % 166.45/166.24 [412]~E(x4121,x4122)+E(f42(x4121,x4123),f42(x4122,x4123)) % 166.45/166.24 [413]~E(x4131,x4132)+E(f42(x4133,x4131),f42(x4133,x4132)) % 166.45/166.24 [414]~E(x4141,x4142)+E(f147(x4141,x4143),f147(x4142,x4143)) % 166.45/166.24 [415]~E(x4151,x4152)+E(f147(x4153,x4151),f147(x4153,x4152)) % 166.45/166.24 [416]~E(x4161,x4162)+E(f87(x4161,x4163),f87(x4162,x4163)) % 166.45/166.24 [417]~E(x4171,x4172)+E(f87(x4173,x4171),f87(x4173,x4172)) % 166.45/166.24 [418]~E(x4181,x4182)+E(f163(x4181,x4183),f163(x4182,x4183)) % 166.45/166.24 [419]~E(x4191,x4192)+E(f163(x4193,x4191),f163(x4193,x4192)) % 166.45/166.24 [420]~E(x4201,x4202)+E(f161(x4201,x4203),f161(x4202,x4203)) % 166.45/166.24 [421]~E(x4211,x4212)+E(f161(x4213,x4211),f161(x4213,x4212)) % 166.45/166.24 [422]~E(x4221,x4222)+E(f181(x4221,x4223),f181(x4222,x4223)) % 166.45/166.24 [423]~E(x4231,x4232)+E(f181(x4233,x4231),f181(x4233,x4232)) % 166.45/166.24 [424]~E(x4241,x4242)+E(f156(x4241,x4243),f156(x4242,x4243)) % 166.45/166.24 [425]~E(x4251,x4252)+E(f156(x4253,x4251),f156(x4253,x4252)) % 166.45/166.24 [426]~E(x4261,x4262)+E(f268(x4261,x4263),f268(x4262,x4263)) % 166.45/166.24 [427]~E(x4271,x4272)+E(f268(x4273,x4271),f268(x4273,x4272)) % 166.45/166.24 [428]~E(x4281,x4282)+E(f255(x4281,x4283,x4284),f255(x4282,x4283,x4284)) % 166.45/166.24 [429]~E(x4291,x4292)+E(f255(x4293,x4291,x4294),f255(x4293,x4292,x4294)) % 166.45/166.24 [430]~E(x4301,x4302)+E(f255(x4303,x4304,x4301),f255(x4303,x4304,x4302)) % 166.45/166.24 [431]~E(x4311,x4312)+E(f587(x4311,x4313,x4314),f587(x4312,x4313,x4314)) % 166.45/166.24 [432]~E(x4321,x4322)+E(f587(x4323,x4321,x4324),f587(x4323,x4322,x4324)) % 166.45/166.24 [433]~E(x4331,x4332)+E(f587(x4333,x4334,x4331),f587(x4333,x4334,x4332)) % 166.45/166.24 [434]~E(x4341,x4342)+E(f476(x4341,x4343,x4344),f476(x4342,x4343,x4344)) % 166.45/166.24 [435]~E(x4351,x4352)+E(f476(x4353,x4351,x4354),f476(x4353,x4352,x4354)) % 166.45/166.24 [436]~E(x4361,x4362)+E(f476(x4363,x4364,x4361),f476(x4363,x4364,x4362)) % 166.45/166.24 [437]~E(x4371,x4372)+E(f591(x4371,x4373,x4374),f591(x4372,x4373,x4374)) % 166.45/166.24 [438]~E(x4381,x4382)+E(f591(x4383,x4381,x4384),f591(x4383,x4382,x4384)) % 166.45/166.24 [439]~E(x4391,x4392)+E(f591(x4393,x4394,x4391),f591(x4393,x4394,x4392)) % 166.45/166.24 [440]~E(x4401,x4402)+E(f492(x4401,x4403,x4404,x4405),f492(x4402,x4403,x4404,x4405)) % 166.45/166.24 [441]~E(x4411,x4412)+E(f492(x4413,x4411,x4414,x4415),f492(x4413,x4412,x4414,x4415)) % 166.45/166.24 [442]~E(x4421,x4422)+E(f492(x4423,x4424,x4421,x4425),f492(x4423,x4424,x4422,x4425)) % 166.45/166.24 [443]~E(x4431,x4432)+E(f492(x4433,x4434,x4435,x4431),f492(x4433,x4434,x4435,x4432)) % 166.45/166.24 [444]~E(x4441,x4442)+E(f894(x4441,x4443),f894(x4442,x4443)) % 166.45/166.24 [445]~E(x4451,x4452)+E(f894(x4453,x4451),f894(x4453,x4452)) % 166.45/166.24 [446]~E(x4461,x4462)+E(f162(x4461,x4463),f162(x4462,x4463)) % 166.45/166.24 [447]~E(x4471,x4472)+E(f162(x4473,x4471),f162(x4473,x4472)) % 166.45/166.24 [448]~E(x4481,x4482)+E(f762(x4481,x4483,x4484),f762(x4482,x4483,x4484)) % 166.45/166.24 [449]~E(x4491,x4492)+E(f762(x4493,x4491,x4494),f762(x4493,x4492,x4494)) % 166.45/166.24 [450]~E(x4501,x4502)+E(f762(x4503,x4504,x4501),f762(x4503,x4504,x4502)) % 166.45/166.24 [451]~E(x4511,x4512)+E(f808(x4511,x4513,x4514,x4515),f808(x4512,x4513,x4514,x4515)) % 166.45/166.24 [452]~E(x4521,x4522)+E(f808(x4523,x4521,x4524,x4525),f808(x4523,x4522,x4524,x4525)) % 166.45/166.24 [453]~E(x4531,x4532)+E(f808(x4533,x4534,x4531,x4535),f808(x4533,x4534,x4532,x4535)) % 166.45/166.24 [454]~E(x4541,x4542)+E(f808(x4543,x4544,x4545,x4541),f808(x4543,x4544,x4545,x4542)) % 166.45/166.24 [455]~E(x4551,x4552)+E(f565(x4551),f565(x4552)) % 166.45/166.24 [456]~E(x4561,x4562)+E(f124(x4561),f124(x4562)) % 166.45/166.24 [457]~E(x4571,x4572)+E(f140(x4571),f140(x4572)) % 166.45/166.24 [458]~E(x4581,x4582)+E(f168(x4581),f168(x4582)) % 166.45/166.24 [459]~E(x4591,x4592)+E(f850(x4591,x4593,x4594),f850(x4592,x4593,x4594)) % 166.45/166.24 [460]~E(x4601,x4602)+E(f850(x4603,x4601,x4604),f850(x4603,x4602,x4604)) % 166.45/166.24 [461]~E(x4611,x4612)+E(f850(x4613,x4614,x4611),f850(x4613,x4614,x4612)) % 166.45/166.24 [462]~E(x4621,x4622)+E(f415(x4621,x4623,x4624,x4625,x4626),f415(x4622,x4623,x4624,x4625,x4626)) % 166.45/166.24 [463]~E(x4631,x4632)+E(f415(x4633,x4631,x4634,x4635,x4636),f415(x4633,x4632,x4634,x4635,x4636)) % 166.45/166.24 [464]~E(x4641,x4642)+E(f415(x4643,x4644,x4641,x4645,x4646),f415(x4643,x4644,x4642,x4645,x4646)) % 166.45/166.24 [465]~E(x4651,x4652)+E(f415(x4653,x4654,x4655,x4651,x4656),f415(x4653,x4654,x4655,x4652,x4656)) % 166.45/166.24 [466]~E(x4661,x4662)+E(f415(x4663,x4664,x4665,x4666,x4661),f415(x4663,x4664,x4665,x4666,x4662)) % 166.45/166.24 [467]~E(x4671,x4672)+E(f462(x4671,x4673),f462(x4672,x4673)) % 166.45/166.24 [468]~E(x4681,x4682)+E(f462(x4683,x4681),f462(x4683,x4682)) % 166.45/166.24 [469]~E(x4691,x4692)+E(f418(x4691,x4693,x4694,x4695,x4696),f418(x4692,x4693,x4694,x4695,x4696)) % 166.45/166.24 [470]~E(x4701,x4702)+E(f418(x4703,x4701,x4704,x4705,x4706),f418(x4703,x4702,x4704,x4705,x4706)) % 166.45/166.24 [471]~E(x4711,x4712)+E(f418(x4713,x4714,x4711,x4715,x4716),f418(x4713,x4714,x4712,x4715,x4716)) % 166.45/166.24 [472]~E(x4721,x4722)+E(f418(x4723,x4724,x4725,x4721,x4726),f418(x4723,x4724,x4725,x4722,x4726)) % 166.45/166.24 [473]~E(x4731,x4732)+E(f418(x4733,x4734,x4735,x4736,x4731),f418(x4733,x4734,x4735,x4736,x4732)) % 166.45/166.24 [474]~E(x4741,x4742)+E(f263(x4741,x4743,x4744,x4745,x4746,x4747),f263(x4742,x4743,x4744,x4745,x4746,x4747)) % 166.45/166.24 [475]~E(x4751,x4752)+E(f263(x4753,x4751,x4754,x4755,x4756,x4757),f263(x4753,x4752,x4754,x4755,x4756,x4757)) % 166.45/166.24 [476]~E(x4761,x4762)+E(f263(x4763,x4764,x4761,x4765,x4766,x4767),f263(x4763,x4764,x4762,x4765,x4766,x4767)) % 166.45/166.24 [477]~E(x4771,x4772)+E(f263(x4773,x4774,x4775,x4771,x4776,x4777),f263(x4773,x4774,x4775,x4772,x4776,x4777)) % 166.45/166.24 [478]~E(x4781,x4782)+E(f263(x4783,x4784,x4785,x4786,x4781,x4787),f263(x4783,x4784,x4785,x4786,x4782,x4787)) % 166.45/166.24 [479]~E(x4791,x4792)+E(f263(x4793,x4794,x4795,x4796,x4797,x4791),f263(x4793,x4794,x4795,x4796,x4797,x4792)) % 166.45/166.24 [480]~E(x4801,x4802)+E(f876(x4801,x4803),f876(x4802,x4803)) % 166.45/166.24 [481]~E(x4811,x4812)+E(f876(x4813,x4811),f876(x4813,x4812)) % 166.45/166.24 [482]~E(x4821,x4822)+E(f89(x4821),f89(x4822)) % 166.45/166.24 [483]~E(x4831,x4832)+E(f12(x4831,x4833,x4834),f12(x4832,x4833,x4834)) % 166.45/166.24 [484]~E(x4841,x4842)+E(f12(x4843,x4841,x4844),f12(x4843,x4842,x4844)) % 166.45/166.24 [485]~E(x4851,x4852)+E(f12(x4853,x4854,x4851),f12(x4853,x4854,x4852)) % 166.45/166.24 [486]~E(x4861,x4862)+E(f847(x4861,x4863,x4864),f847(x4862,x4863,x4864)) % 166.45/166.24 [487]~E(x4871,x4872)+E(f847(x4873,x4871,x4874),f847(x4873,x4872,x4874)) % 166.45/166.24 [488]~E(x4881,x4882)+E(f847(x4883,x4884,x4881),f847(x4883,x4884,x4882)) % 166.45/166.24 [489]~E(x4891,x4892)+E(f29(x4891,x4893,x4894),f29(x4892,x4893,x4894)) % 166.45/166.24 [490]~E(x4901,x4902)+E(f29(x4903,x4901,x4904),f29(x4903,x4902,x4904)) % 166.45/166.24 [491]~E(x4911,x4912)+E(f29(x4913,x4914,x4911),f29(x4913,x4914,x4912)) % 166.45/166.24 [492]~E(x4921,x4922)+E(f628(x4921,x4923,x4924,x4925),f628(x4922,x4923,x4924,x4925)) % 166.45/166.24 [493]~E(x4931,x4932)+E(f628(x4933,x4931,x4934,x4935),f628(x4933,x4932,x4934,x4935)) % 166.45/166.24 [494]~E(x4941,x4942)+E(f628(x4943,x4944,x4941,x4945),f628(x4943,x4944,x4942,x4945)) % 166.45/166.24 [495]~E(x4951,x4952)+E(f628(x4953,x4954,x4955,x4951),f628(x4953,x4954,x4955,x4952)) % 166.45/166.24 [496]~E(x4961,x4962)+E(f180(x4961,x4963,x4964),f180(x4962,x4963,x4964)) % 166.45/166.24 [497]~E(x4971,x4972)+E(f180(x4973,x4971,x4974),f180(x4973,x4972,x4974)) % 166.45/166.24 [498]~E(x4981,x4982)+E(f180(x4983,x4984,x4981),f180(x4983,x4984,x4982)) % 166.45/166.24 [499]~E(x4991,x4992)+E(f607(x4991,x4993,x4994,x4995,x4996),f607(x4992,x4993,x4994,x4995,x4996)) % 166.45/166.24 [500]~E(x5001,x5002)+E(f607(x5003,x5001,x5004,x5005,x5006),f607(x5003,x5002,x5004,x5005,x5006)) % 166.45/166.24 [501]~E(x5011,x5012)+E(f607(x5013,x5014,x5011,x5015,x5016),f607(x5013,x5014,x5012,x5015,x5016)) % 166.45/166.24 [502]~E(x5021,x5022)+E(f607(x5023,x5024,x5025,x5021,x5026),f607(x5023,x5024,x5025,x5022,x5026)) % 166.45/166.24 [503]~E(x5031,x5032)+E(f607(x5033,x5034,x5035,x5036,x5031),f607(x5033,x5034,x5035,x5036,x5032)) % 166.45/166.24 [504]~E(x5041,x5042)+E(f543(x5041,x5043,x5044,x5045),f543(x5042,x5043,x5044,x5045)) % 166.45/166.24 [505]~E(x5051,x5052)+E(f543(x5053,x5051,x5054,x5055),f543(x5053,x5052,x5054,x5055)) % 166.45/166.24 [506]~E(x5061,x5062)+E(f543(x5063,x5064,x5061,x5065),f543(x5063,x5064,x5062,x5065)) % 166.45/166.24 [507]~E(x5071,x5072)+E(f543(x5073,x5074,x5075,x5071),f543(x5073,x5074,x5075,x5072)) % 166.45/166.24 [508]~E(x5081,x5082)+E(f307(x5081,x5083,x5084),f307(x5082,x5083,x5084)) % 166.45/166.24 [509]~E(x5091,x5092)+E(f307(x5093,x5091,x5094),f307(x5093,x5092,x5094)) % 166.45/166.24 [510]~E(x5101,x5102)+E(f307(x5103,x5104,x5101),f307(x5103,x5104,x5102)) % 166.45/166.24 [511]~E(x5111,x5112)+E(f697(x5111,x5113),f697(x5112,x5113)) % 166.45/166.24 [512]~E(x5121,x5122)+E(f697(x5123,x5121),f697(x5123,x5122)) % 166.45/166.24 [513]~E(x5131,x5132)+E(f48(x5131,x5133),f48(x5132,x5133)) % 166.45/166.24 [514]~E(x5141,x5142)+E(f48(x5143,x5141),f48(x5143,x5142)) % 166.45/166.24 [515]~E(x5151,x5152)+E(f153(x5151,x5153,x5154,x5155),f153(x5152,x5153,x5154,x5155)) % 166.45/166.24 [516]~E(x5161,x5162)+E(f153(x5163,x5161,x5164,x5165),f153(x5163,x5162,x5164,x5165)) % 166.45/166.24 [517]~E(x5171,x5172)+E(f153(x5173,x5174,x5171,x5175),f153(x5173,x5174,x5172,x5175)) % 166.45/166.24 [518]~E(x5181,x5182)+E(f153(x5183,x5184,x5185,x5181),f153(x5183,x5184,x5185,x5182)) % 166.45/166.24 [519]~E(x5191,x5192)+E(f636(x5191,x5193,x5194,x5195,x5196),f636(x5192,x5193,x5194,x5195,x5196)) % 166.45/166.24 [520]~E(x5201,x5202)+E(f636(x5203,x5201,x5204,x5205,x5206),f636(x5203,x5202,x5204,x5205,x5206)) % 166.45/166.24 [521]~E(x5211,x5212)+E(f636(x5213,x5214,x5211,x5215,x5216),f636(x5213,x5214,x5212,x5215,x5216)) % 166.45/166.24 [522]~E(x5221,x5222)+E(f636(x5223,x5224,x5225,x5221,x5226),f636(x5223,x5224,x5225,x5222,x5226)) % 166.45/166.24 [523]~E(x5231,x5232)+E(f636(x5233,x5234,x5235,x5236,x5231),f636(x5233,x5234,x5235,x5236,x5232)) % 166.45/166.24 [524]~E(x5241,x5242)+E(f316(x5241),f316(x5242)) % 166.45/166.24 [525]~E(x5251,x5252)+E(f10(x5251,x5253),f10(x5252,x5253)) % 166.45/166.24 [526]~E(x5261,x5262)+E(f10(x5263,x5261),f10(x5263,x5262)) % 166.45/166.24 [527]~E(x5271,x5272)+E(f337(x5271),f337(x5272)) % 166.45/166.24 [528]~E(x5281,x5282)+E(f271(x5281,x5283),f271(x5282,x5283)) % 166.45/166.24 [529]~E(x5291,x5292)+E(f271(x5293,x5291),f271(x5293,x5292)) % 166.45/166.24 [530]~E(x5301,x5302)+E(f58(x5301),f58(x5302)) % 166.45/166.24 [531]~E(x5311,x5312)+E(f202(x5311,x5313,x5314,x5315),f202(x5312,x5313,x5314,x5315)) % 166.45/166.24 [532]~E(x5321,x5322)+E(f202(x5323,x5321,x5324,x5325),f202(x5323,x5322,x5324,x5325)) % 166.45/166.24 [533]~E(x5331,x5332)+E(f202(x5333,x5334,x5331,x5335),f202(x5333,x5334,x5332,x5335)) % 166.45/166.24 [534]~E(x5341,x5342)+E(f202(x5343,x5344,x5345,x5341),f202(x5343,x5344,x5345,x5342)) % 166.45/166.24 [535]~E(x5351,x5352)+E(f805(x5351,x5353,x5354,x5355),f805(x5352,x5353,x5354,x5355)) % 166.45/166.24 [536]~E(x5361,x5362)+E(f805(x5363,x5361,x5364,x5365),f805(x5363,x5362,x5364,x5365)) % 166.45/166.24 [537]~E(x5371,x5372)+E(f805(x5373,x5374,x5371,x5375),f805(x5373,x5374,x5372,x5375)) % 166.45/166.24 [538]~E(x5381,x5382)+E(f805(x5383,x5384,x5385,x5381),f805(x5383,x5384,x5385,x5382)) % 166.45/166.24 [539]~E(x5391,x5392)+E(f390(x5391),f390(x5392)) % 166.45/166.24 [540]~E(x5401,x5402)+E(f807(x5401,x5403,x5404,x5405),f807(x5402,x5403,x5404,x5405)) % 166.45/166.24 [541]~E(x5411,x5412)+E(f807(x5413,x5411,x5414,x5415),f807(x5413,x5412,x5414,x5415)) % 166.45/166.24 [542]~E(x5421,x5422)+E(f807(x5423,x5424,x5421,x5425),f807(x5423,x5424,x5422,x5425)) % 166.45/166.24 [543]~E(x5431,x5432)+E(f807(x5433,x5434,x5435,x5431),f807(x5433,x5434,x5435,x5432)) % 166.45/166.24 [544]~E(x5441,x5442)+E(f285(x5441),f285(x5442)) % 166.45/166.24 [545]~E(x5451,x5452)+E(f144(x5451),f144(x5452)) % 166.45/166.24 [546]~E(x5461,x5462)+E(f315(x5461,x5463,x5464,x5465),f315(x5462,x5463,x5464,x5465)) % 166.45/166.24 [547]~E(x5471,x5472)+E(f315(x5473,x5471,x5474,x5475),f315(x5473,x5472,x5474,x5475)) % 166.45/166.24 [548]~E(x5481,x5482)+E(f315(x5483,x5484,x5481,x5485),f315(x5483,x5484,x5482,x5485)) % 166.45/166.24 [549]~E(x5491,x5492)+E(f315(x5493,x5494,x5495,x5491),f315(x5493,x5494,x5495,x5492)) % 166.45/166.24 [550]~E(x5501,x5502)+E(f269(x5501,x5503),f269(x5502,x5503)) % 166.45/166.24 [551]~E(x5511,x5512)+E(f269(x5513,x5511),f269(x5513,x5512)) % 166.45/166.24 [552]~E(x5521,x5522)+E(f114(x5521),f114(x5522)) % 166.45/166.24 [553]~E(x5531,x5532)+E(f632(x5531,x5533,x5534,x5535),f632(x5532,x5533,x5534,x5535)) % 166.45/166.24 [554]~E(x5541,x5542)+E(f632(x5543,x5541,x5544,x5545),f632(x5543,x5542,x5544,x5545)) % 166.45/166.24 [555]~E(x5551,x5552)+E(f632(x5553,x5554,x5551,x5555),f632(x5553,x5554,x5552,x5555)) % 166.45/166.24 [556]~E(x5561,x5562)+E(f632(x5563,x5564,x5565,x5561),f632(x5563,x5564,x5565,x5562)) % 166.45/166.24 [557]~E(x5571,x5572)+E(f214(x5571,x5573,x5574,x5575),f214(x5572,x5573,x5574,x5575)) % 166.45/166.24 [558]~E(x5581,x5582)+E(f214(x5583,x5581,x5584,x5585),f214(x5583,x5582,x5584,x5585)) % 166.45/166.24 [559]~E(x5591,x5592)+E(f214(x5593,x5594,x5591,x5595),f214(x5593,x5594,x5592,x5595)) % 166.45/166.24 [560]~E(x5601,x5602)+E(f214(x5603,x5604,x5605,x5601),f214(x5603,x5604,x5605,x5602)) % 166.45/166.24 [561]~E(x5611,x5612)+E(f737(x5611,x5613,x5614),f737(x5612,x5613,x5614)) % 166.45/166.24 [562]~E(x5621,x5622)+E(f737(x5623,x5621,x5624),f737(x5623,x5622,x5624)) % 166.45/166.24 [563]~E(x5631,x5632)+E(f737(x5633,x5634,x5631),f737(x5633,x5634,x5632)) % 166.45/166.24 [564]~E(x5641,x5642)+E(f121(x5641,x5643,x5644),f121(x5642,x5643,x5644)) % 166.45/166.24 [565]~E(x5651,x5652)+E(f121(x5653,x5651,x5654),f121(x5653,x5652,x5654)) % 166.45/166.24 [566]~E(x5661,x5662)+E(f121(x5663,x5664,x5661),f121(x5663,x5664,x5662)) % 166.45/166.24 [567]~E(x5671,x5672)+E(f672(x5671,x5673,x5674,x5675),f672(x5672,x5673,x5674,x5675)) % 166.45/166.24 [568]~E(x5681,x5682)+E(f672(x5683,x5681,x5684,x5685),f672(x5683,x5682,x5684,x5685)) % 166.45/166.24 [569]~E(x5691,x5692)+E(f672(x5693,x5694,x5691,x5695),f672(x5693,x5694,x5692,x5695)) % 166.45/166.24 [570]~E(x5701,x5702)+E(f672(x5703,x5704,x5705,x5701),f672(x5703,x5704,x5705,x5702)) % 166.45/166.24 [571]~E(x5711,x5712)+E(f868(x5711,x5713,x5714),f868(x5712,x5713,x5714)) % 166.45/166.24 [572]~E(x5721,x5722)+E(f868(x5723,x5721,x5724),f868(x5723,x5722,x5724)) % 166.45/166.24 [573]~E(x5731,x5732)+E(f868(x5733,x5734,x5731),f868(x5733,x5734,x5732)) % 166.45/166.24 [574]~E(x5741,x5742)+E(f739(x5741,x5743,x5744),f739(x5742,x5743,x5744)) % 166.45/166.24 [575]~E(x5751,x5752)+E(f739(x5753,x5751,x5754),f739(x5753,x5752,x5754)) % 166.45/166.24 [576]~E(x5761,x5762)+E(f739(x5763,x5764,x5761),f739(x5763,x5764,x5762)) % 166.45/166.24 [577]~E(x5771,x5772)+E(f456(x5771,x5773),f456(x5772,x5773)) % 166.45/166.24 [578]~E(x5781,x5782)+E(f456(x5783,x5781),f456(x5783,x5782)) % 166.45/166.24 [579]~E(x5791,x5792)+E(f100(x5791,x5793),f100(x5792,x5793)) % 166.45/166.24 [580]~E(x5801,x5802)+E(f100(x5803,x5801),f100(x5803,x5802)) % 166.45/166.24 [581]~E(x5811,x5812)+E(f197(x5811),f197(x5812)) % 166.45/166.24 [582]~E(x5821,x5822)+E(f417(x5821,x5823),f417(x5822,x5823)) % 166.45/166.24 [583]~E(x5831,x5832)+E(f417(x5833,x5831),f417(x5833,x5832)) % 166.45/166.24 [584]~E(x5841,x5842)+E(f394(x5841,x5843,x5844,x5845),f394(x5842,x5843,x5844,x5845)) % 166.45/166.24 [585]~E(x5851,x5852)+E(f394(x5853,x5851,x5854,x5855),f394(x5853,x5852,x5854,x5855)) % 166.45/166.24 [586]~E(x5861,x5862)+E(f394(x5863,x5864,x5861,x5865),f394(x5863,x5864,x5862,x5865)) % 166.45/166.24 [587]~E(x5871,x5872)+E(f394(x5873,x5874,x5875,x5871),f394(x5873,x5874,x5875,x5872)) % 166.45/166.24 [588]~E(x5881,x5882)+E(f681(x5881,x5883,x5884,x5885),f681(x5882,x5883,x5884,x5885)) % 166.45/166.24 [589]~E(x5891,x5892)+E(f681(x5893,x5891,x5894,x5895),f681(x5893,x5892,x5894,x5895)) % 166.45/166.24 [590]~E(x5901,x5902)+E(f681(x5903,x5904,x5901,x5905),f681(x5903,x5904,x5902,x5905)) % 166.45/166.24 [591]~E(x5911,x5912)+E(f681(x5913,x5914,x5915,x5911),f681(x5913,x5914,x5915,x5912)) % 166.45/166.24 [592]~E(x5921,x5922)+E(f55(x5921,x5923),f55(x5922,x5923)) % 166.45/166.24 [593]~E(x5931,x5932)+E(f55(x5933,x5931),f55(x5933,x5932)) % 166.45/166.24 [594]~E(x5941,x5942)+E(f129(x5941,x5943),f129(x5942,x5943)) % 166.45/166.24 [595]~E(x5951,x5952)+E(f129(x5953,x5951),f129(x5953,x5952)) % 166.45/166.24 [596]~E(x5961,x5962)+E(f747(x5961,x5963,x5964),f747(x5962,x5963,x5964)) % 166.45/166.24 [597]~E(x5971,x5972)+E(f747(x5973,x5971,x5974),f747(x5973,x5972,x5974)) % 166.45/166.24 [598]~E(x5981,x5982)+E(f747(x5983,x5984,x5981),f747(x5983,x5984,x5982)) % 166.45/166.24 [599]~E(x5991,x5992)+E(f78(x5991,x5993,x5994,x5995,x5996),f78(x5992,x5993,x5994,x5995,x5996)) % 166.45/166.24 [600]~E(x6001,x6002)+E(f78(x6003,x6001,x6004,x6005,x6006),f78(x6003,x6002,x6004,x6005,x6006)) % 166.45/166.24 [601]~E(x6011,x6012)+E(f78(x6013,x6014,x6011,x6015,x6016),f78(x6013,x6014,x6012,x6015,x6016)) % 166.45/166.24 [602]~E(x6021,x6022)+E(f78(x6023,x6024,x6025,x6021,x6026),f78(x6023,x6024,x6025,x6022,x6026)) % 166.45/166.24 [603]~E(x6031,x6032)+E(f78(x6033,x6034,x6035,x6036,x6031),f78(x6033,x6034,x6035,x6036,x6032)) % 166.45/166.24 [604]~E(x6041,x6042)+E(f406(x6041,x6043),f406(x6042,x6043)) % 166.45/166.24 [605]~E(x6051,x6052)+E(f406(x6053,x6051),f406(x6053,x6052)) % 166.45/166.24 [606]~E(x6061,x6062)+E(f199(x6061,x6063,x6064,x6065),f199(x6062,x6063,x6064,x6065)) % 166.45/166.24 [607]~E(x6071,x6072)+E(f199(x6073,x6071,x6074,x6075),f199(x6073,x6072,x6074,x6075)) % 166.45/166.24 [608]~E(x6081,x6082)+E(f199(x6083,x6084,x6081,x6085),f199(x6083,x6084,x6082,x6085)) % 166.45/166.24 [609]~E(x6091,x6092)+E(f199(x6093,x6094,x6095,x6091),f199(x6093,x6094,x6095,x6092)) % 166.45/166.24 [610]~E(x6101,x6102)+E(f571(x6101,x6103,x6104),f571(x6102,x6103,x6104)) % 166.45/166.24 [611]~E(x6111,x6112)+E(f571(x6113,x6111,x6114),f571(x6113,x6112,x6114)) % 166.45/166.24 [612]~E(x6121,x6122)+E(f571(x6123,x6124,x6121),f571(x6123,x6124,x6122)) % 166.45/166.24 [613]~E(x6131,x6132)+E(f303(x6131),f303(x6132)) % 166.45/166.24 [614]~E(x6141,x6142)+E(f457(x6141,x6143,x6144),f457(x6142,x6143,x6144)) % 166.45/166.24 [615]~E(x6151,x6152)+E(f457(x6153,x6151,x6154),f457(x6153,x6152,x6154)) % 166.45/166.24 [616]~E(x6161,x6162)+E(f457(x6163,x6164,x6161),f457(x6163,x6164,x6162)) % 166.45/166.24 [617]~E(x6171,x6172)+E(f426(x6171,x6173,x6174,x6175,x6176),f426(x6172,x6173,x6174,x6175,x6176)) % 166.45/166.24 [618]~E(x6181,x6182)+E(f426(x6183,x6181,x6184,x6185,x6186),f426(x6183,x6182,x6184,x6185,x6186)) % 166.45/166.24 [619]~E(x6191,x6192)+E(f426(x6193,x6194,x6191,x6195,x6196),f426(x6193,x6194,x6192,x6195,x6196)) % 166.45/166.24 [620]~E(x6201,x6202)+E(f426(x6203,x6204,x6205,x6201,x6206),f426(x6203,x6204,x6205,x6202,x6206)) % 166.45/166.24 [621]~E(x6211,x6212)+E(f426(x6213,x6214,x6215,x6216,x6211),f426(x6213,x6214,x6215,x6216,x6212)) % 166.45/166.24 [622]~E(x6221,x6222)+E(f830(x6221),f830(x6222)) % 166.45/166.24 [623]~E(x6231,x6232)+E(f379(x6231,x6233,x6234,x6235),f379(x6232,x6233,x6234,x6235)) % 166.45/166.24 [624]~E(x6241,x6242)+E(f379(x6243,x6241,x6244,x6245),f379(x6243,x6242,x6244,x6245)) % 166.45/166.24 [625]~E(x6251,x6252)+E(f379(x6253,x6254,x6251,x6255),f379(x6253,x6254,x6252,x6255)) % 166.45/166.24 [626]~E(x6261,x6262)+E(f379(x6263,x6264,x6265,x6261),f379(x6263,x6264,x6265,x6262)) % 166.45/166.24 [627]~E(x6271,x6272)+E(f51(x6271,x6273),f51(x6272,x6273)) % 166.45/166.24 [628]~E(x6281,x6282)+E(f51(x6283,x6281),f51(x6283,x6282)) % 166.45/166.24 [629]~E(x6291,x6292)+E(f11(x6291,x6293,x6294),f11(x6292,x6293,x6294)) % 166.45/166.24 [630]~E(x6301,x6302)+E(f11(x6303,x6301,x6304),f11(x6303,x6302,x6304)) % 166.45/166.24 [631]~E(x6311,x6312)+E(f11(x6313,x6314,x6311),f11(x6313,x6314,x6312)) % 166.45/166.24 [632]~E(x6321,x6322)+E(f279(x6321,x6323,x6324,x6325),f279(x6322,x6323,x6324,x6325)) % 166.45/166.24 [633]~E(x6331,x6332)+E(f279(x6333,x6331,x6334,x6335),f279(x6333,x6332,x6334,x6335)) % 166.45/166.24 [634]~E(x6341,x6342)+E(f279(x6343,x6344,x6341,x6345),f279(x6343,x6344,x6342,x6345)) % 166.45/166.24 [635]~E(x6351,x6352)+E(f279(x6353,x6354,x6355,x6351),f279(x6353,x6354,x6355,x6352)) % 166.45/166.24 [636]~E(x6361,x6362)+E(f260(x6361,x6363,x6364,x6365),f260(x6362,x6363,x6364,x6365)) % 166.45/166.24 [637]~E(x6371,x6372)+E(f260(x6373,x6371,x6374,x6375),f260(x6373,x6372,x6374,x6375)) % 166.45/166.24 [638]~E(x6381,x6382)+E(f260(x6383,x6384,x6381,x6385),f260(x6383,x6384,x6382,x6385)) % 166.45/166.24 [639]~E(x6391,x6392)+E(f260(x6393,x6394,x6395,x6391),f260(x6393,x6394,x6395,x6392)) % 166.45/166.24 [640]~E(x6401,x6402)+E(f783(x6401,x6403,x6404),f783(x6402,x6403,x6404)) % 166.45/166.24 [641]~E(x6411,x6412)+E(f783(x6413,x6411,x6414),f783(x6413,x6412,x6414)) % 166.45/166.24 [642]~E(x6421,x6422)+E(f783(x6423,x6424,x6421),f783(x6423,x6424,x6422)) % 166.45/166.24 [643]~E(x6431,x6432)+E(f592(x6431,x6433,x6434,x6435),f592(x6432,x6433,x6434,x6435)) % 166.45/166.24 [644]~E(x6441,x6442)+E(f592(x6443,x6441,x6444,x6445),f592(x6443,x6442,x6444,x6445)) % 166.45/166.24 [645]~E(x6451,x6452)+E(f592(x6453,x6454,x6451,x6455),f592(x6453,x6454,x6452,x6455)) % 166.45/166.24 [646]~E(x6461,x6462)+E(f592(x6463,x6464,x6465,x6461),f592(x6463,x6464,x6465,x6462)) % 166.45/166.24 [647]~E(x6471,x6472)+E(f65(x6471,x6473),f65(x6472,x6473)) % 166.45/166.24 [648]~E(x6481,x6482)+E(f65(x6483,x6481),f65(x6483,x6482)) % 166.45/166.24 [649]~E(x6491,x6492)+E(f143(x6491,x6493,x6494),f143(x6492,x6493,x6494)) % 166.45/166.24 [650]~E(x6501,x6502)+E(f143(x6503,x6501,x6504),f143(x6503,x6502,x6504)) % 166.45/166.24 [651]~E(x6511,x6512)+E(f143(x6513,x6514,x6511),f143(x6513,x6514,x6512)) % 166.45/166.24 [652]~E(x6521,x6522)+E(f254(x6521,x6523,x6524),f254(x6522,x6523,x6524)) % 166.45/166.24 [653]~E(x6531,x6532)+E(f254(x6533,x6531,x6534),f254(x6533,x6532,x6534)) % 166.45/166.24 [654]~E(x6541,x6542)+E(f254(x6543,x6544,x6541),f254(x6543,x6544,x6542)) % 166.45/166.24 [655]~E(x6551,x6552)+E(f208(x6551),f208(x6552)) % 166.45/166.24 [656]~E(x6561,x6562)+E(f829(x6561),f829(x6562)) % 166.45/166.24 [657]~E(x6571,x6572)+E(f613(x6571,x6573,x6574),f613(x6572,x6573,x6574)) % 166.45/166.24 [658]~E(x6581,x6582)+E(f613(x6583,x6581,x6584),f613(x6583,x6582,x6584)) % 166.45/166.24 [659]~E(x6591,x6592)+E(f613(x6593,x6594,x6591),f613(x6593,x6594,x6592)) % 166.45/166.24 [660]~E(x6601,x6602)+E(f561(x6601,x6603,x6604),f561(x6602,x6603,x6604)) % 166.45/166.24 [661]~E(x6611,x6612)+E(f561(x6613,x6611,x6614),f561(x6613,x6612,x6614)) % 166.45/166.24 [662]~E(x6621,x6622)+E(f561(x6623,x6624,x6621),f561(x6623,x6624,x6622)) % 166.45/166.24 [663]~E(x6631,x6632)+E(f52(x6631,x6633),f52(x6632,x6633)) % 166.45/166.24 [664]~E(x6641,x6642)+E(f52(x6643,x6641),f52(x6643,x6642)) % 166.45/166.24 [665]~E(x6651,x6652)+E(f499(x6651,x6653,x6654,x6655,x6656),f499(x6652,x6653,x6654,x6655,x6656)) % 166.45/166.24 [666]~E(x6661,x6662)+E(f499(x6663,x6661,x6664,x6665,x6666),f499(x6663,x6662,x6664,x6665,x6666)) % 166.45/166.24 [667]~E(x6671,x6672)+E(f499(x6673,x6674,x6671,x6675,x6676),f499(x6673,x6674,x6672,x6675,x6676)) % 166.45/166.24 [668]~E(x6681,x6682)+E(f499(x6683,x6684,x6685,x6681,x6686),f499(x6683,x6684,x6685,x6682,x6686)) % 166.45/166.24 [669]~E(x6691,x6692)+E(f499(x6693,x6694,x6695,x6696,x6691),f499(x6693,x6694,x6695,x6696,x6692)) % 166.45/166.24 [670]~E(x6701,x6702)+E(f766(x6701,x6703,x6704,x6705),f766(x6702,x6703,x6704,x6705)) % 166.45/166.24 [671]~E(x6711,x6712)+E(f766(x6713,x6711,x6714,x6715),f766(x6713,x6712,x6714,x6715)) % 166.45/166.24 [672]~E(x6721,x6722)+E(f766(x6723,x6724,x6721,x6725),f766(x6723,x6724,x6722,x6725)) % 166.45/166.24 [673]~E(x6731,x6732)+E(f766(x6733,x6734,x6735,x6731),f766(x6733,x6734,x6735,x6732)) % 166.45/166.24 [674]~E(x6741,x6742)+E(f101(x6741,x6743),f101(x6742,x6743)) % 166.45/166.24 [675]~E(x6751,x6752)+E(f101(x6753,x6751),f101(x6753,x6752)) % 166.45/166.24 [676]~E(x6761,x6762)+E(f68(x6761,x6763,x6764,x6765,x6766),f68(x6762,x6763,x6764,x6765,x6766)) % 166.45/166.24 [677]~E(x6771,x6772)+E(f68(x6773,x6771,x6774,x6775,x6776),f68(x6773,x6772,x6774,x6775,x6776)) % 166.45/166.24 [678]~E(x6781,x6782)+E(f68(x6783,x6784,x6781,x6785,x6786),f68(x6783,x6784,x6782,x6785,x6786)) % 166.45/166.24 [679]~E(x6791,x6792)+E(f68(x6793,x6794,x6795,x6791,x6796),f68(x6793,x6794,x6795,x6792,x6796)) % 166.45/166.24 [680]~E(x6801,x6802)+E(f68(x6803,x6804,x6805,x6806,x6801),f68(x6803,x6804,x6805,x6806,x6802)) % 166.45/166.24 [681]~E(x6811,x6812)+E(f644(x6811,x6813,x6814),f644(x6812,x6813,x6814)) % 166.45/166.24 [682]~E(x6821,x6822)+E(f644(x6823,x6821,x6824),f644(x6823,x6822,x6824)) % 166.45/166.24 [683]~E(x6831,x6832)+E(f644(x6833,x6834,x6831),f644(x6833,x6834,x6832)) % 166.45/166.24 [684]~E(x6841,x6842)+E(f224(x6841,x6843,x6844,x6845),f224(x6842,x6843,x6844,x6845)) % 166.45/166.24 [685]~E(x6851,x6852)+E(f224(x6853,x6851,x6854,x6855),f224(x6853,x6852,x6854,x6855)) % 166.45/166.24 [686]~E(x6861,x6862)+E(f224(x6863,x6864,x6861,x6865),f224(x6863,x6864,x6862,x6865)) % 166.45/166.24 [687]~E(x6871,x6872)+E(f224(x6873,x6874,x6875,x6871),f224(x6873,x6874,x6875,x6872)) % 166.45/166.24 [688]~E(x6881,x6882)+E(f600(x6881,x6883,x6884),f600(x6882,x6883,x6884)) % 166.45/166.24 [689]~E(x6891,x6892)+E(f600(x6893,x6891,x6894),f600(x6893,x6892,x6894)) % 166.45/166.24 [690]~E(x6901,x6902)+E(f600(x6903,x6904,x6901),f600(x6903,x6904,x6902)) % 166.45/166.24 [691]~E(x6911,x6912)+E(f717(x6911,x6913,x6914),f717(x6912,x6913,x6914)) % 166.45/166.24 [692]~E(x6921,x6922)+E(f717(x6923,x6921,x6924),f717(x6923,x6922,x6924)) % 166.45/166.24 [693]~E(x6931,x6932)+E(f717(x6933,x6934,x6931),f717(x6933,x6934,x6932)) % 166.45/166.24 [694]~E(x6941,x6942)+E(f857(x6941,x6943,x6944,x6945),f857(x6942,x6943,x6944,x6945)) % 166.45/166.24 [695]~E(x6951,x6952)+E(f857(x6953,x6951,x6954,x6955),f857(x6953,x6952,x6954,x6955)) % 166.45/166.24 [696]~E(x6961,x6962)+E(f857(x6963,x6964,x6961,x6965),f857(x6963,x6964,x6962,x6965)) % 166.45/166.24 [697]~E(x6971,x6972)+E(f857(x6973,x6974,x6975,x6971),f857(x6973,x6974,x6975,x6972)) % 166.45/166.24 [698]~E(x6981,x6982)+E(f706(x6981,x6983,x6984,x6985),f706(x6982,x6983,x6984,x6985)) % 166.45/166.24 [699]~E(x6991,x6992)+E(f706(x6993,x6991,x6994,x6995),f706(x6993,x6992,x6994,x6995)) % 166.45/166.24 [700]~E(x7001,x7002)+E(f706(x7003,x7004,x7001,x7005),f706(x7003,x7004,x7002,x7005)) % 166.45/166.24 [701]~E(x7011,x7012)+E(f706(x7013,x7014,x7015,x7011),f706(x7013,x7014,x7015,x7012)) % 166.45/166.24 [702]~E(x7021,x7022)+E(f495(x7021,x7023,x7024),f495(x7022,x7023,x7024)) % 166.45/166.24 [703]~E(x7031,x7032)+E(f495(x7033,x7031,x7034),f495(x7033,x7032,x7034)) % 166.45/166.24 [704]~E(x7041,x7042)+E(f495(x7043,x7044,x7041),f495(x7043,x7044,x7042)) % 166.45/166.24 [705]~E(x7051,x7052)+E(f96(x7051,x7053,x7054),f96(x7052,x7053,x7054)) % 166.45/166.24 [706]~E(x7061,x7062)+E(f96(x7063,x7061,x7064),f96(x7063,x7062,x7064)) % 166.45/166.24 [707]~E(x7071,x7072)+E(f96(x7073,x7074,x7071),f96(x7073,x7074,x7072)) % 166.45/166.24 [708]~E(x7081,x7082)+E(f556(x7081,x7083,x7084),f556(x7082,x7083,x7084)) % 166.45/166.24 [709]~E(x7091,x7092)+E(f556(x7093,x7091,x7094),f556(x7093,x7092,x7094)) % 166.45/166.24 [710]~E(x7101,x7102)+E(f556(x7103,x7104,x7101),f556(x7103,x7104,x7102)) % 166.45/166.24 [711]~E(x7111,x7112)+E(f484(x7111,x7113,x7114),f484(x7112,x7113,x7114)) % 166.45/166.24 [712]~E(x7121,x7122)+E(f484(x7123,x7121,x7124),f484(x7123,x7122,x7124)) % 166.45/166.24 [713]~E(x7131,x7132)+E(f484(x7133,x7134,x7131),f484(x7133,x7134,x7132)) % 166.45/166.24 [714]~E(x7141,x7142)+E(f712(x7141,x7143,x7144),f712(x7142,x7143,x7144)) % 166.45/166.24 [715]~E(x7151,x7152)+E(f712(x7153,x7151,x7154),f712(x7153,x7152,x7154)) % 166.45/166.24 [716]~E(x7161,x7162)+E(f712(x7163,x7164,x7161),f712(x7163,x7164,x7162)) % 166.45/166.24 [717]~E(x7171,x7172)+E(f483(x7171,x7173,x7174),f483(x7172,x7173,x7174)) % 166.45/166.24 [718]~E(x7181,x7182)+E(f483(x7183,x7181,x7184),f483(x7183,x7182,x7184)) % 166.45/166.24 [719]~E(x7191,x7192)+E(f483(x7193,x7194,x7191),f483(x7193,x7194,x7192)) % 166.45/166.24 [720]~E(x7201,x7202)+E(f721(x7201,x7203),f721(x7202,x7203)) % 166.45/166.24 [721]~E(x7211,x7212)+E(f721(x7213,x7211),f721(x7213,x7212)) % 166.45/166.24 [722]~E(x7221,x7222)+E(f825(x7221,x7223),f825(x7222,x7223)) % 166.45/166.24 [723]~E(x7231,x7232)+E(f825(x7233,x7231),f825(x7233,x7232)) % 166.45/166.24 [724]~E(x7241,x7242)+E(f135(x7241,x7243),f135(x7242,x7243)) % 166.45/166.24 [725]~E(x7251,x7252)+E(f135(x7253,x7251),f135(x7253,x7252)) % 166.45/166.24 [726]~E(x7261,x7262)+E(f152(x7261,x7263,x7264,x7265,x7266),f152(x7262,x7263,x7264,x7265,x7266)) % 166.45/166.24 [727]~E(x7271,x7272)+E(f152(x7273,x7271,x7274,x7275,x7276),f152(x7273,x7272,x7274,x7275,x7276)) % 166.45/166.24 [728]~E(x7281,x7282)+E(f152(x7283,x7284,x7281,x7285,x7286),f152(x7283,x7284,x7282,x7285,x7286)) % 166.45/166.24 [729]~E(x7291,x7292)+E(f152(x7293,x7294,x7295,x7291,x7296),f152(x7293,x7294,x7295,x7292,x7296)) % 166.45/166.24 [730]~E(x7301,x7302)+E(f152(x7303,x7304,x7305,x7306,x7301),f152(x7303,x7304,x7305,x7306,x7302)) % 166.45/166.24 [731]~E(x7311,x7312)+E(f188(x7311,x7313,x7314,x7315),f188(x7312,x7313,x7314,x7315)) % 166.45/166.24 [732]~E(x7321,x7322)+E(f188(x7323,x7321,x7324,x7325),f188(x7323,x7322,x7324,x7325)) % 166.45/166.24 [733]~E(x7331,x7332)+E(f188(x7333,x7334,x7331,x7335),f188(x7333,x7334,x7332,x7335)) % 166.45/166.24 [734]~E(x7341,x7342)+E(f188(x7343,x7344,x7345,x7341),f188(x7343,x7344,x7345,x7342)) % 166.45/166.24 [735]~E(x7351,x7352)+E(f453(x7351,x7353,x7354),f453(x7352,x7353,x7354)) % 166.45/166.24 [736]~E(x7361,x7362)+E(f453(x7363,x7361,x7364),f453(x7363,x7362,x7364)) % 166.45/166.24 [737]~E(x7371,x7372)+E(f453(x7373,x7374,x7371),f453(x7373,x7374,x7372)) % 166.45/166.24 [738]~E(x7381,x7382)+E(f160(x7381,x7383),f160(x7382,x7383)) % 166.45/166.24 [739]~E(x7391,x7392)+E(f160(x7393,x7391),f160(x7393,x7392)) % 166.45/166.24 [740]~E(x7401,x7402)+E(f146(x7401,x7403),f146(x7402,x7403)) % 166.45/166.24 [741]~E(x7411,x7412)+E(f146(x7413,x7411),f146(x7413,x7412)) % 166.45/166.24 [742]~E(x7421,x7422)+E(f688(x7421,x7423,x7424),f688(x7422,x7423,x7424)) % 166.45/166.24 [743]~E(x7431,x7432)+E(f688(x7433,x7431,x7434),f688(x7433,x7432,x7434)) % 166.45/166.24 [744]~E(x7441,x7442)+E(f688(x7443,x7444,x7441),f688(x7443,x7444,x7442)) % 166.45/166.24 [745]~E(x7451,x7452)+E(f612(x7451,x7453),f612(x7452,x7453)) % 166.45/166.24 [746]~E(x7461,x7462)+E(f612(x7463,x7461),f612(x7463,x7462)) % 166.45/166.24 [747]~E(x7471,x7472)+E(f869(x7471,x7473,x7474,x7475),f869(x7472,x7473,x7474,x7475)) % 166.45/166.24 [748]~E(x7481,x7482)+E(f869(x7483,x7481,x7484,x7485),f869(x7483,x7482,x7484,x7485)) % 166.45/166.24 [749]~E(x7491,x7492)+E(f869(x7493,x7494,x7491,x7495),f869(x7493,x7494,x7492,x7495)) % 166.45/166.24 [750]~E(x7501,x7502)+E(f869(x7503,x7504,x7505,x7501),f869(x7503,x7504,x7505,x7502)) % 166.45/166.24 [751]~E(x7511,x7512)+E(f206(x7511,x7513),f206(x7512,x7513)) % 166.45/166.24 [752]~E(x7521,x7522)+E(f206(x7523,x7521),f206(x7523,x7522)) % 166.45/166.24 [753]~E(x7531,x7532)+E(f219(x7531,x7533),f219(x7532,x7533)) % 166.45/166.24 [754]~E(x7541,x7542)+E(f219(x7543,x7541),f219(x7543,x7542)) % 166.45/166.24 [755]~E(x7551,x7552)+E(f151(x7551,x7553,x7554),f151(x7552,x7553,x7554)) % 166.45/166.24 [756]~E(x7561,x7562)+E(f151(x7563,x7561,x7564),f151(x7563,x7562,x7564)) % 166.45/166.24 [757]~E(x7571,x7572)+E(f151(x7573,x7574,x7571),f151(x7573,x7574,x7572)) % 166.45/166.24 [758]~E(x7581,x7582)+E(f123(x7581,x7583,x7584),f123(x7582,x7583,x7584)) % 166.45/166.24 [759]~E(x7591,x7592)+E(f123(x7593,x7591,x7594),f123(x7593,x7592,x7594)) % 166.45/166.24 [760]~E(x7601,x7602)+E(f123(x7603,x7604,x7601),f123(x7603,x7604,x7602)) % 166.45/166.24 [761]~E(x7611,x7612)+E(f79(x7611,x7613,x7614,x7615),f79(x7612,x7613,x7614,x7615)) % 166.45/166.24 [762]~E(x7621,x7622)+E(f79(x7623,x7621,x7624,x7625),f79(x7623,x7622,x7624,x7625)) % 166.45/166.24 [763]~E(x7631,x7632)+E(f79(x7633,x7634,x7631,x7635),f79(x7633,x7634,x7632,x7635)) % 166.45/166.24 [764]~E(x7641,x7642)+E(f79(x7643,x7644,x7645,x7641),f79(x7643,x7644,x7645,x7642)) % 166.45/166.24 [765]~E(x7651,x7652)+E(f865(x7651,x7653),f865(x7652,x7653)) % 166.45/166.24 [766]~E(x7661,x7662)+E(f865(x7663,x7661),f865(x7663,x7662)) % 166.45/166.24 [767]~E(x7671,x7672)+E(f248(x7671,x7673,x7674),f248(x7672,x7673,x7674)) % 166.45/166.24 [768]~E(x7681,x7682)+E(f248(x7683,x7681,x7684),f248(x7683,x7682,x7684)) % 166.45/166.24 [769]~E(x7691,x7692)+E(f248(x7693,x7694,x7691),f248(x7693,x7694,x7692)) % 166.45/166.24 [770]~E(x7701,x7702)+E(f701(x7701,x7703,x7704),f701(x7702,x7703,x7704)) % 166.45/166.24 [771]~E(x7711,x7712)+E(f701(x7713,x7711,x7714),f701(x7713,x7712,x7714)) % 166.45/166.24 [772]~E(x7721,x7722)+E(f701(x7723,x7724,x7721),f701(x7723,x7724,x7722)) % 166.45/166.24 [773]~E(x7731,x7732)+E(f877(x7731,x7733,x7734),f877(x7732,x7733,x7734)) % 166.45/166.24 [774]~E(x7741,x7742)+E(f877(x7743,x7741,x7744),f877(x7743,x7742,x7744)) % 166.45/166.24 [775]~E(x7751,x7752)+E(f877(x7753,x7754,x7751),f877(x7753,x7754,x7752)) % 166.45/166.24 [776]~E(x7761,x7762)+E(f64(x7761,x7763,x7764),f64(x7762,x7763,x7764)) % 166.45/166.24 [777]~E(x7771,x7772)+E(f64(x7773,x7771,x7774),f64(x7773,x7772,x7774)) % 166.45/166.24 [778]~E(x7781,x7782)+E(f64(x7783,x7784,x7781),f64(x7783,x7784,x7782)) % 166.45/166.24 [779]~E(x7791,x7792)+E(f537(x7791,x7793,x7794),f537(x7792,x7793,x7794)) % 166.45/166.24 [780]~E(x7801,x7802)+E(f537(x7803,x7801,x7804),f537(x7803,x7802,x7804)) % 166.45/166.24 [781]~E(x7811,x7812)+E(f537(x7813,x7814,x7811),f537(x7813,x7814,x7812)) % 166.45/166.24 [782]~E(x7821,x7822)+E(f525(x7821,x7823,x7824,x7825,x7826),f525(x7822,x7823,x7824,x7825,x7826)) % 166.45/166.24 [783]~E(x7831,x7832)+E(f525(x7833,x7831,x7834,x7835,x7836),f525(x7833,x7832,x7834,x7835,x7836)) % 166.45/166.24 [784]~E(x7841,x7842)+E(f525(x7843,x7844,x7841,x7845,x7846),f525(x7843,x7844,x7842,x7845,x7846)) % 166.45/166.24 [785]~E(x7851,x7852)+E(f525(x7853,x7854,x7855,x7851,x7856),f525(x7853,x7854,x7855,x7852,x7856)) % 166.45/166.24 [786]~E(x7861,x7862)+E(f525(x7863,x7864,x7865,x7866,x7861),f525(x7863,x7864,x7865,x7866,x7862)) % 166.45/166.24 [787]~E(x7871,x7872)+E(f789(x7871,x7873,x7874),f789(x7872,x7873,x7874)) % 166.45/166.24 [788]~E(x7881,x7882)+E(f789(x7883,x7881,x7884),f789(x7883,x7882,x7884)) % 166.45/166.24 [789]~E(x7891,x7892)+E(f789(x7893,x7894,x7891),f789(x7893,x7894,x7892)) % 166.45/166.24 [790]~E(x7901,x7902)+E(f646(x7901,x7903,x7904),f646(x7902,x7903,x7904)) % 166.45/166.24 [791]~E(x7911,x7912)+E(f646(x7913,x7911,x7914),f646(x7913,x7912,x7914)) % 166.45/166.24 [792]~E(x7921,x7922)+E(f646(x7923,x7924,x7921),f646(x7923,x7924,x7922)) % 166.45/166.24 [793]~E(x7931,x7932)+E(f704(x7931,x7933,x7934,x7935,x7936),f704(x7932,x7933,x7934,x7935,x7936)) % 166.45/166.24 [794]~E(x7941,x7942)+E(f704(x7943,x7941,x7944,x7945,x7946),f704(x7943,x7942,x7944,x7945,x7946)) % 166.45/166.24 [795]~E(x7951,x7952)+E(f704(x7953,x7954,x7951,x7955,x7956),f704(x7953,x7954,x7952,x7955,x7956)) % 166.45/166.24 [796]~E(x7961,x7962)+E(f704(x7963,x7964,x7965,x7961,x7966),f704(x7963,x7964,x7965,x7962,x7966)) % 166.45/166.24 [797]~E(x7971,x7972)+E(f704(x7973,x7974,x7975,x7976,x7971),f704(x7973,x7974,x7975,x7976,x7972)) % 166.45/166.24 [798]~E(x7981,x7982)+E(f828(x7981,x7983),f828(x7982,x7983)) % 166.45/166.24 [799]~E(x7991,x7992)+E(f828(x7993,x7991),f828(x7993,x7992)) % 166.45/166.24 [800]~E(x8001,x8002)+E(f695(x8001,x8003,x8004,x8005),f695(x8002,x8003,x8004,x8005)) % 166.45/166.24 [801]~E(x8011,x8012)+E(f695(x8013,x8011,x8014,x8015),f695(x8013,x8012,x8014,x8015)) % 166.45/166.24 [802]~E(x8021,x8022)+E(f695(x8023,x8024,x8021,x8025),f695(x8023,x8024,x8022,x8025)) % 166.45/166.24 [803]~E(x8031,x8032)+E(f695(x8033,x8034,x8035,x8031),f695(x8033,x8034,x8035,x8032)) % 166.45/166.24 [804]~E(x8041,x8042)+E(f715(x8041,x8043,x8044),f715(x8042,x8043,x8044)) % 166.45/166.24 [805]~E(x8051,x8052)+E(f715(x8053,x8051,x8054),f715(x8053,x8052,x8054)) % 166.45/166.24 [806]~E(x8061,x8062)+E(f715(x8063,x8064,x8061),f715(x8063,x8064,x8062)) % 166.45/166.24 [807]~E(x8071,x8072)+E(f800(x8071,x8073,x8074,x8075),f800(x8072,x8073,x8074,x8075)) % 166.45/166.24 [808]~E(x8081,x8082)+E(f800(x8083,x8081,x8084,x8085),f800(x8083,x8082,x8084,x8085)) % 166.45/166.24 [809]~E(x8091,x8092)+E(f800(x8093,x8094,x8091,x8095),f800(x8093,x8094,x8092,x8095)) % 166.45/166.24 [810]~E(x8101,x8102)+E(f800(x8103,x8104,x8105,x8101),f800(x8103,x8104,x8105,x8102)) % 166.45/166.24 [811]~E(x8111,x8112)+E(f373(x8111,x8113,x8114),f373(x8112,x8113,x8114)) % 166.45/166.24 [812]~E(x8121,x8122)+E(f373(x8123,x8121,x8124),f373(x8123,x8122,x8124)) % 166.45/166.24 [813]~E(x8131,x8132)+E(f373(x8133,x8134,x8131),f373(x8133,x8134,x8132)) % 166.45/166.24 [814]~E(x8141,x8142)+E(f488(x8141,x8143,x8144),f488(x8142,x8143,x8144)) % 166.45/166.24 [815]~E(x8151,x8152)+E(f488(x8153,x8151,x8154),f488(x8153,x8152,x8154)) % 166.45/166.24 [816]~E(x8161,x8162)+E(f488(x8163,x8164,x8161),f488(x8163,x8164,x8162)) % 166.45/166.24 [817]~E(x8171,x8172)+E(f716(x8171,x8173,x8174),f716(x8172,x8173,x8174)) % 166.45/166.24 [818]~E(x8181,x8182)+E(f716(x8183,x8181,x8184),f716(x8183,x8182,x8184)) % 166.45/166.24 [819]~E(x8191,x8192)+E(f716(x8193,x8194,x8191),f716(x8193,x8194,x8192)) % 166.45/166.24 [820]~E(x8201,x8202)+E(f345(x8201,x8203),f345(x8202,x8203)) % 166.45/166.24 [821]~E(x8211,x8212)+E(f345(x8213,x8211),f345(x8213,x8212)) % 166.45/166.24 [822]~E(x8221,x8222)+E(f377(x8221,x8223,x8224,x8225),f377(x8222,x8223,x8224,x8225)) % 166.45/166.24 [823]~E(x8231,x8232)+E(f377(x8233,x8231,x8234,x8235),f377(x8233,x8232,x8234,x8235)) % 166.45/166.24 [824]~E(x8241,x8242)+E(f377(x8243,x8244,x8241,x8245),f377(x8243,x8244,x8242,x8245)) % 166.45/166.24 [825]~E(x8251,x8252)+E(f377(x8253,x8254,x8255,x8251),f377(x8253,x8254,x8255,x8252)) % 166.45/166.24 [826]~E(x8261,x8262)+E(f220(x8261,x8263),f220(x8262,x8263)) % 166.45/166.24 [827]~E(x8271,x8272)+E(f220(x8273,x8271),f220(x8273,x8272)) % 166.45/166.24 [828]~E(x8281,x8282)+E(f792(x8281,x8283,x8284),f792(x8282,x8283,x8284)) % 166.45/166.24 [829]~E(x8291,x8292)+E(f792(x8293,x8291,x8294),f792(x8293,x8292,x8294)) % 166.45/166.24 [830]~E(x8301,x8302)+E(f792(x8303,x8304,x8301),f792(x8303,x8304,x8302)) % 166.45/166.24 [831]~E(x8311,x8312)+E(f392(x8311,x8313,x8314),f392(x8312,x8313,x8314)) % 166.45/166.24 [832]~E(x8321,x8322)+E(f392(x8323,x8321,x8324),f392(x8323,x8322,x8324)) % 166.45/166.24 [833]~E(x8331,x8332)+E(f392(x8333,x8334,x8331),f392(x8333,x8334,x8332)) % 166.45/166.24 [834]~E(x8341,x8342)+E(f881(x8341,x8343,x8344,x8345),f881(x8342,x8343,x8344,x8345)) % 166.45/166.24 [835]~E(x8351,x8352)+E(f881(x8353,x8351,x8354,x8355),f881(x8353,x8352,x8354,x8355)) % 166.45/166.24 [836]~E(x8361,x8362)+E(f881(x8363,x8364,x8361,x8365),f881(x8363,x8364,x8362,x8365)) % 166.45/166.24 [837]~E(x8371,x8372)+E(f881(x8373,x8374,x8375,x8371),f881(x8373,x8374,x8375,x8372)) % 166.45/166.24 [838]~E(x8381,x8382)+E(f811(x8381,x8383,x8384,x8385,x8386,x8387,x8388),f811(x8382,x8383,x8384,x8385,x8386,x8387,x8388)) % 166.45/166.24 [839]~E(x8391,x8392)+E(f811(x8393,x8391,x8394,x8395,x8396,x8397,x8398),f811(x8393,x8392,x8394,x8395,x8396,x8397,x8398)) % 166.45/166.24 [840]~E(x8401,x8402)+E(f811(x8403,x8404,x8401,x8405,x8406,x8407,x8408),f811(x8403,x8404,x8402,x8405,x8406,x8407,x8408)) % 166.45/166.24 [841]~E(x8411,x8412)+E(f811(x8413,x8414,x8415,x8411,x8416,x8417,x8418),f811(x8413,x8414,x8415,x8412,x8416,x8417,x8418)) % 166.45/166.24 [842]~E(x8421,x8422)+E(f811(x8423,x8424,x8425,x8426,x8421,x8427,x8428),f811(x8423,x8424,x8425,x8426,x8422,x8427,x8428)) % 166.45/166.24 [843]~E(x8431,x8432)+E(f811(x8433,x8434,x8435,x8436,x8437,x8431,x8438),f811(x8433,x8434,x8435,x8436,x8437,x8432,x8438)) % 166.45/166.24 [844]~E(x8441,x8442)+E(f811(x8443,x8444,x8445,x8446,x8447,x8448,x8441),f811(x8443,x8444,x8445,x8446,x8447,x8448,x8442)) % 166.45/166.24 [845]~E(x8451,x8452)+E(f322(x8451,x8453,x8454,x8455),f322(x8452,x8453,x8454,x8455)) % 166.45/166.24 [846]~E(x8461,x8462)+E(f322(x8463,x8461,x8464,x8465),f322(x8463,x8462,x8464,x8465)) % 166.45/166.24 [847]~E(x8471,x8472)+E(f322(x8473,x8474,x8471,x8475),f322(x8473,x8474,x8472,x8475)) % 166.45/166.24 [848]~E(x8481,x8482)+E(f322(x8483,x8484,x8485,x8481),f322(x8483,x8484,x8485,x8482)) % 166.45/166.24 [849]~E(x8491,x8492)+E(f384(x8491,x8493,x8494),f384(x8492,x8493,x8494)) % 166.45/166.24 [850]~E(x8501,x8502)+E(f384(x8503,x8501,x8504),f384(x8503,x8502,x8504)) % 166.45/166.24 [851]~E(x8511,x8512)+E(f384(x8513,x8514,x8511),f384(x8513,x8514,x8512)) % 166.45/166.24 [852]~E(x8521,x8522)+E(f744(x8521,x8523,x8524,x8525,x8526),f744(x8522,x8523,x8524,x8525,x8526)) % 166.45/166.24 [853]~E(x8531,x8532)+E(f744(x8533,x8531,x8534,x8535,x8536),f744(x8533,x8532,x8534,x8535,x8536)) % 166.45/166.24 [854]~E(x8541,x8542)+E(f744(x8543,x8544,x8541,x8545,x8546),f744(x8543,x8544,x8542,x8545,x8546)) % 166.45/166.24 [855]~E(x8551,x8552)+E(f744(x8553,x8554,x8555,x8551,x8556),f744(x8553,x8554,x8555,x8552,x8556)) % 166.45/166.24 [856]~E(x8561,x8562)+E(f744(x8563,x8564,x8565,x8566,x8561),f744(x8563,x8564,x8565,x8566,x8562)) % 166.45/166.24 [857]~E(x8571,x8572)+E(f189(x8571),f189(x8572)) % 166.45/166.24 [858]~E(x8581,x8582)+E(f213(x8581,x8583,x8584,x8585),f213(x8582,x8583,x8584,x8585)) % 166.45/166.24 [859]~E(x8591,x8592)+E(f213(x8593,x8591,x8594,x8595),f213(x8593,x8592,x8594,x8595)) % 166.45/166.24 [860]~E(x8601,x8602)+E(f213(x8603,x8604,x8601,x8605),f213(x8603,x8604,x8602,x8605)) % 166.45/166.24 [861]~E(x8611,x8612)+E(f213(x8613,x8614,x8615,x8611),f213(x8613,x8614,x8615,x8612)) % 166.45/166.24 [862]~E(x8621,x8622)+E(f500(x8621,x8623,x8624,x8625),f500(x8622,x8623,x8624,x8625)) % 166.45/166.24 [863]~E(x8631,x8632)+E(f500(x8633,x8631,x8634,x8635),f500(x8633,x8632,x8634,x8635)) % 166.45/166.24 [864]~E(x8641,x8642)+E(f500(x8643,x8644,x8641,x8645),f500(x8643,x8644,x8642,x8645)) % 166.45/166.24 [865]~E(x8651,x8652)+E(f500(x8653,x8654,x8655,x8651),f500(x8653,x8654,x8655,x8652)) % 166.45/166.24 [866]~E(x8661,x8662)+E(f278(x8661,x8663),f278(x8662,x8663)) % 166.45/166.24 [867]~E(x8671,x8672)+E(f278(x8673,x8671),f278(x8673,x8672)) % 166.45/166.24 [868]~E(x8681,x8682)+E(f753(x8681,x8683),f753(x8682,x8683)) % 166.45/166.24 [869]~E(x8691,x8692)+E(f753(x8693,x8691),f753(x8693,x8692)) % 166.45/166.24 [870]~E(x8701,x8702)+E(f28(x8701,x8703,x8704),f28(x8702,x8703,x8704)) % 166.45/166.24 [871]~E(x8711,x8712)+E(f28(x8713,x8711,x8714),f28(x8713,x8712,x8714)) % 166.45/166.24 [872]~E(x8721,x8722)+E(f28(x8723,x8724,x8721),f28(x8723,x8724,x8722)) % 166.45/166.24 [873]~E(x8731,x8732)+E(f230(x8731,x8733,x8734,x8735,x8736),f230(x8732,x8733,x8734,x8735,x8736)) % 166.45/166.24 [874]~E(x8741,x8742)+E(f230(x8743,x8741,x8744,x8745,x8746),f230(x8743,x8742,x8744,x8745,x8746)) % 166.45/166.24 [875]~E(x8751,x8752)+E(f230(x8753,x8754,x8751,x8755,x8756),f230(x8753,x8754,x8752,x8755,x8756)) % 166.45/166.24 [876]~E(x8761,x8762)+E(f230(x8763,x8764,x8765,x8761,x8766),f230(x8763,x8764,x8765,x8762,x8766)) % 166.45/166.24 [877]~E(x8771,x8772)+E(f230(x8773,x8774,x8775,x8776,x8771),f230(x8773,x8774,x8775,x8776,x8772)) % 166.45/166.24 [878]~E(x8781,x8782)+E(f770(x8781,x8783,x8784,x8785,x8786),f770(x8782,x8783,x8784,x8785,x8786)) % 166.45/166.24 [879]~E(x8791,x8792)+E(f770(x8793,x8791,x8794,x8795,x8796),f770(x8793,x8792,x8794,x8795,x8796)) % 166.45/166.24 [880]~E(x8801,x8802)+E(f770(x8803,x8804,x8801,x8805,x8806),f770(x8803,x8804,x8802,x8805,x8806)) % 166.45/166.24 [881]~E(x8811,x8812)+E(f770(x8813,x8814,x8815,x8811,x8816),f770(x8813,x8814,x8815,x8812,x8816)) % 166.45/166.24 [882]~E(x8821,x8822)+E(f770(x8823,x8824,x8825,x8826,x8821),f770(x8823,x8824,x8825,x8826,x8822)) % 166.45/166.24 [883]~E(x8831,x8832)+E(f158(x8831,x8833,x8834),f158(x8832,x8833,x8834)) % 166.45/166.24 [884]~E(x8841,x8842)+E(f158(x8843,x8841,x8844),f158(x8843,x8842,x8844)) % 166.45/166.24 [885]~E(x8851,x8852)+E(f158(x8853,x8854,x8851),f158(x8853,x8854,x8852)) % 166.45/166.24 [886]~E(x8861,x8862)+E(f216(x8861),f216(x8862)) % 166.45/166.24 [887]~E(x8871,x8872)+E(f227(x8871,x8873,x8874,x8875,x8876),f227(x8872,x8873,x8874,x8875,x8876)) % 166.45/166.24 [888]~E(x8881,x8882)+E(f227(x8883,x8881,x8884,x8885,x8886),f227(x8883,x8882,x8884,x8885,x8886)) % 166.45/166.24 [889]~E(x8891,x8892)+E(f227(x8893,x8894,x8891,x8895,x8896),f227(x8893,x8894,x8892,x8895,x8896)) % 166.45/166.24 [890]~E(x8901,x8902)+E(f227(x8903,x8904,x8905,x8901,x8906),f227(x8903,x8904,x8905,x8902,x8906)) % 166.45/166.24 [891]~E(x8911,x8912)+E(f227(x8913,x8914,x8915,x8916,x8911),f227(x8913,x8914,x8915,x8916,x8912)) % 166.45/166.24 [892]~E(x8921,x8922)+E(f750(x8921,x8923),f750(x8922,x8923)) % 166.45/166.24 [893]~E(x8931,x8932)+E(f750(x8933,x8931),f750(x8933,x8932)) % 166.45/166.24 [894]~E(x8941,x8942)+E(f650(x8941,x8943,x8944),f650(x8942,x8943,x8944)) % 166.45/166.24 [895]~E(x8951,x8952)+E(f650(x8953,x8951,x8954),f650(x8953,x8952,x8954)) % 166.45/166.24 [896]~E(x8961,x8962)+E(f650(x8963,x8964,x8961),f650(x8963,x8964,x8962)) % 166.45/166.24 [897]~E(x8971,x8972)+E(f742(x8971,x8973,x8974),f742(x8972,x8973,x8974)) % 166.45/166.24 [898]~E(x8981,x8982)+E(f742(x8983,x8981,x8984),f742(x8983,x8982,x8984)) % 166.45/166.24 [899]~E(x8991,x8992)+E(f742(x8993,x8994,x8991),f742(x8993,x8994,x8992)) % 166.45/166.24 [900]~E(x9001,x9002)+E(f195(x9001,x9003),f195(x9002,x9003)) % 166.45/166.24 [901]~E(x9011,x9012)+E(f195(x9013,x9011),f195(x9013,x9012)) % 166.45/166.24 [902]~E(x9021,x9022)+E(f658(x9021,x9023,x9024,x9025),f658(x9022,x9023,x9024,x9025)) % 166.45/166.24 [903]~E(x9031,x9032)+E(f658(x9033,x9031,x9034,x9035),f658(x9033,x9032,x9034,x9035)) % 166.45/166.24 [904]~E(x9041,x9042)+E(f658(x9043,x9044,x9041,x9045),f658(x9043,x9044,x9042,x9045)) % 166.45/166.24 [905]~E(x9051,x9052)+E(f658(x9053,x9054,x9055,x9051),f658(x9053,x9054,x9055,x9052)) % 166.45/166.24 [906]~E(x9061,x9062)+E(f125(x9061,x9063),f125(x9062,x9063)) % 166.45/166.24 [907]~E(x9071,x9072)+E(f125(x9073,x9071),f125(x9073,x9072)) % 166.45/166.24 [908]~E(x9081,x9082)+E(f529(x9081,x9083,x9084,x9085),f529(x9082,x9083,x9084,x9085)) % 166.45/166.24 [909]~E(x9091,x9092)+E(f529(x9093,x9091,x9094,x9095),f529(x9093,x9092,x9094,x9095)) % 166.45/166.24 [910]~E(x9101,x9102)+E(f529(x9103,x9104,x9101,x9105),f529(x9103,x9104,x9102,x9105)) % 166.45/166.24 [911]~E(x9111,x9112)+E(f529(x9113,x9114,x9115,x9111),f529(x9113,x9114,x9115,x9112)) % 166.45/166.24 [912]~E(x9121,x9122)+E(f786(x9121,x9123,x9124,x9125),f786(x9122,x9123,x9124,x9125)) % 166.45/166.24 [913]~E(x9131,x9132)+E(f786(x9133,x9131,x9134,x9135),f786(x9133,x9132,x9134,x9135)) % 166.45/166.24 [914]~E(x9141,x9142)+E(f786(x9143,x9144,x9141,x9145),f786(x9143,x9144,x9142,x9145)) % 166.45/166.24 [915]~E(x9151,x9152)+E(f786(x9153,x9154,x9155,x9151),f786(x9153,x9154,x9155,x9152)) % 166.45/166.24 [916]~E(x9161,x9162)+E(f253(x9161,x9163),f253(x9162,x9163)) % 166.45/166.24 [917]~E(x9171,x9172)+E(f253(x9173,x9171),f253(x9173,x9172)) % 166.45/166.24 [918]~E(x9181,x9182)+E(f722(x9181,x9183,x9184,x9185),f722(x9182,x9183,x9184,x9185)) % 166.45/166.24 [919]~E(x9191,x9192)+E(f722(x9193,x9191,x9194,x9195),f722(x9193,x9192,x9194,x9195)) % 166.45/166.24 [920]~E(x9201,x9202)+E(f722(x9203,x9204,x9201,x9205),f722(x9203,x9204,x9202,x9205)) % 166.45/166.24 [921]~E(x9211,x9212)+E(f722(x9213,x9214,x9215,x9211),f722(x9213,x9214,x9215,x9212)) % 166.45/166.24 [922]~E(x9221,x9222)+E(f293(x9221,x9223),f293(x9222,x9223)) % 166.45/166.24 [923]~E(x9231,x9232)+E(f293(x9233,x9231),f293(x9233,x9232)) % 166.45/166.24 [924]~E(x9241,x9242)+E(f875(x9241,x9243,x9244,x9245,x9246,x9247,x9248),f875(x9242,x9243,x9244,x9245,x9246,x9247,x9248)) % 166.45/166.24 [925]~E(x9251,x9252)+E(f875(x9253,x9251,x9254,x9255,x9256,x9257,x9258),f875(x9253,x9252,x9254,x9255,x9256,x9257,x9258)) % 166.45/166.24 [926]~E(x9261,x9262)+E(f875(x9263,x9264,x9261,x9265,x9266,x9267,x9268),f875(x9263,x9264,x9262,x9265,x9266,x9267,x9268)) % 166.45/166.24 [927]~E(x9271,x9272)+E(f875(x9273,x9274,x9275,x9271,x9276,x9277,x9278),f875(x9273,x9274,x9275,x9272,x9276,x9277,x9278)) % 166.45/166.24 [928]~E(x9281,x9282)+E(f875(x9283,x9284,x9285,x9286,x9281,x9287,x9288),f875(x9283,x9284,x9285,x9286,x9282,x9287,x9288)) % 166.45/166.24 [929]~E(x9291,x9292)+E(f875(x9293,x9294,x9295,x9296,x9297,x9291,x9298),f875(x9293,x9294,x9295,x9296,x9297,x9292,x9298)) % 166.45/166.24 [930]~E(x9301,x9302)+E(f875(x9303,x9304,x9305,x9306,x9307,x9308,x9301),f875(x9303,x9304,x9305,x9306,x9307,x9308,x9302)) % 166.45/166.24 [931]~E(x9311,x9312)+E(f166(x9311,x9313,x9314,x9315),f166(x9312,x9313,x9314,x9315)) % 166.45/166.24 [932]~E(x9321,x9322)+E(f166(x9323,x9321,x9324,x9325),f166(x9323,x9322,x9324,x9325)) % 166.45/166.24 [933]~E(x9331,x9332)+E(f166(x9333,x9334,x9331,x9335),f166(x9333,x9334,x9332,x9335)) % 166.45/166.24 [934]~E(x9341,x9342)+E(f166(x9343,x9344,x9345,x9341),f166(x9343,x9344,x9345,x9342)) % 166.45/166.24 [935]~E(x9351,x9352)+E(f381(x9351,x9353,x9354,x9355),f381(x9352,x9353,x9354,x9355)) % 166.45/166.24 [936]~E(x9361,x9362)+E(f381(x9363,x9361,x9364,x9365),f381(x9363,x9362,x9364,x9365)) % 166.45/166.24 [937]~E(x9371,x9372)+E(f381(x9373,x9374,x9371,x9375),f381(x9373,x9374,x9372,x9375)) % 166.45/166.24 [938]~E(x9381,x9382)+E(f381(x9383,x9384,x9385,x9381),f381(x9383,x9384,x9385,x9382)) % 166.45/166.24 [939]~E(x9391,x9392)+E(f820(x9391,x9393,x9394,x9395),f820(x9392,x9393,x9394,x9395)) % 166.45/166.24 [940]~E(x9401,x9402)+E(f820(x9403,x9401,x9404,x9405),f820(x9403,x9402,x9404,x9405)) % 166.45/166.24 [941]~E(x9411,x9412)+E(f820(x9413,x9414,x9411,x9415),f820(x9413,x9414,x9412,x9415)) % 166.45/166.24 [942]~E(x9421,x9422)+E(f820(x9423,x9424,x9425,x9421),f820(x9423,x9424,x9425,x9422)) % 166.45/166.24 [943]~E(x9431,x9432)+E(f403(x9431,x9433,x9434,x9435,x9436),f403(x9432,x9433,x9434,x9435,x9436)) % 166.45/166.24 [944]~E(x9441,x9442)+E(f403(x9443,x9441,x9444,x9445,x9446),f403(x9443,x9442,x9444,x9445,x9446)) % 166.45/166.24 [945]~E(x9451,x9452)+E(f403(x9453,x9454,x9451,x9455,x9456),f403(x9453,x9454,x9452,x9455,x9456)) % 166.45/166.24 [946]~E(x9461,x9462)+E(f403(x9463,x9464,x9465,x9461,x9466),f403(x9463,x9464,x9465,x9462,x9466)) % 166.45/166.24 [947]~E(x9471,x9472)+E(f403(x9473,x9474,x9475,x9476,x9471),f403(x9473,x9474,x9475,x9476,x9472)) % 166.45/166.24 [948]~E(x9481,x9482)+E(f234(x9481,x9483,x9484),f234(x9482,x9483,x9484)) % 166.45/166.24 [949]~E(x9491,x9492)+E(f234(x9493,x9491,x9494),f234(x9493,x9492,x9494)) % 166.45/166.24 [950]~E(x9501,x9502)+E(f234(x9503,x9504,x9501),f234(x9503,x9504,x9502)) % 166.45/166.24 [951]~E(x9511,x9512)+E(f306(x9511),f306(x9512)) % 166.45/166.24 [952]~E(x9521,x9522)+E(f70(x9521,x9523,x9524),f70(x9522,x9523,x9524)) % 166.45/166.24 [953]~E(x9531,x9532)+E(f70(x9533,x9531,x9534),f70(x9533,x9532,x9534)) % 166.45/166.24 [954]~E(x9541,x9542)+E(f70(x9543,x9544,x9541),f70(x9543,x9544,x9542)) % 166.45/166.24 [955]~E(x9551,x9552)+E(f445(x9551,x9553,x9554,x9555,x9556,x9557),f445(x9552,x9553,x9554,x9555,x9556,x9557)) % 166.45/166.24 [956]~E(x9561,x9562)+E(f445(x9563,x9561,x9564,x9565,x9566,x9567),f445(x9563,x9562,x9564,x9565,x9566,x9567)) % 166.45/166.24 [957]~E(x9571,x9572)+E(f445(x9573,x9574,x9571,x9575,x9576,x9577),f445(x9573,x9574,x9572,x9575,x9576,x9577)) % 166.45/166.24 [958]~E(x9581,x9582)+E(f445(x9583,x9584,x9585,x9581,x9586,x9587),f445(x9583,x9584,x9585,x9582,x9586,x9587)) % 166.45/166.24 [959]~E(x9591,x9592)+E(f445(x9593,x9594,x9595,x9596,x9591,x9597),f445(x9593,x9594,x9595,x9596,x9592,x9597)) % 166.45/166.24 [960]~E(x9601,x9602)+E(f445(x9603,x9604,x9605,x9606,x9607,x9601),f445(x9603,x9604,x9605,x9606,x9607,x9602)) % 166.45/166.24 [961]~E(x9611,x9612)+E(f788(x9611,x9613,x9614),f788(x9612,x9613,x9614)) % 166.45/166.24 [962]~E(x9621,x9622)+E(f788(x9623,x9621,x9624),f788(x9623,x9622,x9624)) % 166.45/166.24 [963]~E(x9631,x9632)+E(f788(x9633,x9634,x9631),f788(x9633,x9634,x9632)) % 166.45/166.24 [964]~E(x9641,x9642)+E(f505(x9641,x9643,x9644),f505(x9642,x9643,x9644)) % 166.45/166.24 [965]~E(x9651,x9652)+E(f505(x9653,x9651,x9654),f505(x9653,x9652,x9654)) % 166.45/166.24 [966]~E(x9661,x9662)+E(f505(x9663,x9664,x9661),f505(x9663,x9664,x9662)) % 166.45/166.24 [967]~E(x9671,x9672)+E(f508(x9671,x9673,x9674),f508(x9672,x9673,x9674)) % 166.45/166.24 [968]~E(x9681,x9682)+E(f508(x9683,x9681,x9684),f508(x9683,x9682,x9684)) % 166.45/166.24 [969]~E(x9691,x9692)+E(f508(x9693,x9694,x9691),f508(x9693,x9694,x9692)) % 166.45/166.24 [970]~E(x9701,x9702)+E(f851(x9701,x9703,x9704),f851(x9702,x9703,x9704)) % 166.45/166.24 [971]~E(x9711,x9712)+E(f851(x9713,x9711,x9714),f851(x9713,x9712,x9714)) % 166.45/166.24 [972]~E(x9721,x9722)+E(f851(x9723,x9724,x9721),f851(x9723,x9724,x9722)) % 166.45/166.24 [973]~E(x9731,x9732)+E(f602(x9731,x9733),f602(x9732,x9733)) % 166.45/166.24 [974]~E(x9741,x9742)+E(f602(x9743,x9741),f602(x9743,x9742)) % 166.45/166.24 [975]~E(x9751,x9752)+E(f413(x9751,x9753,x9754,x9755),f413(x9752,x9753,x9754,x9755)) % 166.45/166.24 [976]~E(x9761,x9762)+E(f413(x9763,x9761,x9764,x9765),f413(x9763,x9762,x9764,x9765)) % 166.45/166.24 [977]~E(x9771,x9772)+E(f413(x9773,x9774,x9771,x9775),f413(x9773,x9774,x9772,x9775)) % 166.45/166.24 [978]~E(x9781,x9782)+E(f413(x9783,x9784,x9785,x9781),f413(x9783,x9784,x9785,x9782)) % 166.45/166.24 [979]~E(x9791,x9792)+E(f718(x9791,x9793,x9794,x9795,x9796),f718(x9792,x9793,x9794,x9795,x9796)) % 166.45/166.24 [980]~E(x9801,x9802)+E(f718(x9803,x9801,x9804,x9805,x9806),f718(x9803,x9802,x9804,x9805,x9806)) % 166.45/166.24 [981]~E(x9811,x9812)+E(f718(x9813,x9814,x9811,x9815,x9816),f718(x9813,x9814,x9812,x9815,x9816)) % 166.45/166.24 [982]~E(x9821,x9822)+E(f718(x9823,x9824,x9825,x9821,x9826),f718(x9823,x9824,x9825,x9822,x9826)) % 166.45/166.24 [983]~E(x9831,x9832)+E(f718(x9833,x9834,x9835,x9836,x9831),f718(x9833,x9834,x9835,x9836,x9832)) % 166.45/166.24 [984]~E(x9841,x9842)+E(f375(x9841,x9843,x9844,x9845),f375(x9842,x9843,x9844,x9845)) % 166.45/166.24 [985]~E(x9851,x9852)+E(f375(x9853,x9851,x9854,x9855),f375(x9853,x9852,x9854,x9855)) % 166.45/166.24 [986]~E(x9861,x9862)+E(f375(x9863,x9864,x9861,x9865),f375(x9863,x9864,x9862,x9865)) % 166.45/166.24 [987]~E(x9871,x9872)+E(f375(x9873,x9874,x9875,x9871),f375(x9873,x9874,x9875,x9872)) % 166.45/166.24 [988]~E(x9881,x9882)+E(f694(x9881,x9883,x9884,x9885),f694(x9882,x9883,x9884,x9885)) % 166.45/166.24 [989]~E(x9891,x9892)+E(f694(x9893,x9891,x9894,x9895),f694(x9893,x9892,x9894,x9895)) % 166.45/166.24 [990]~E(x9901,x9902)+E(f694(x9903,x9904,x9901,x9905),f694(x9903,x9904,x9902,x9905)) % 166.45/166.24 [991]~E(x9911,x9912)+E(f694(x9913,x9914,x9915,x9911),f694(x9913,x9914,x9915,x9912)) % 166.45/166.24 [992]~E(x9921,x9922)+E(f420(x9921,x9923,x9924,x9925,x9926,x9927),f420(x9922,x9923,x9924,x9925,x9926,x9927)) % 166.45/166.24 [993]~E(x9931,x9932)+E(f420(x9933,x9931,x9934,x9935,x9936,x9937),f420(x9933,x9932,x9934,x9935,x9936,x9937)) % 166.45/166.24 [994]~E(x9941,x9942)+E(f420(x9943,x9944,x9941,x9945,x9946,x9947),f420(x9943,x9944,x9942,x9945,x9946,x9947)) % 166.45/166.24 [995]~E(x9951,x9952)+E(f420(x9953,x9954,x9955,x9951,x9956,x9957),f420(x9953,x9954,x9955,x9952,x9956,x9957)) % 166.45/166.24 [996]~E(x9961,x9962)+E(f420(x9963,x9964,x9965,x9966,x9961,x9967),f420(x9963,x9964,x9965,x9966,x9962,x9967)) % 166.45/166.24 [997]~E(x9971,x9972)+E(f420(x9973,x9974,x9975,x9976,x9977,x9971),f420(x9973,x9974,x9975,x9976,x9977,x9972)) % 166.45/166.24 [998]~E(x9981,x9982)+E(f132(x9981,x9983),f132(x9982,x9983)) % 166.45/166.24 [999]~E(x9991,x9992)+E(f132(x9993,x9991),f132(x9993,x9992)) % 166.45/166.24 [1000]~E(x10001,x10002)+E(f821(x10001,x10003,x10004,x10005),f821(x10002,x10003,x10004,x10005)) % 166.45/166.24 [1001]~E(x10011,x10012)+E(f821(x10013,x10011,x10014,x10015),f821(x10013,x10012,x10014,x10015)) % 166.45/166.24 [1002]~E(x10021,x10022)+E(f821(x10023,x10024,x10021,x10025),f821(x10023,x10024,x10022,x10025)) % 166.45/166.24 [1003]~E(x10031,x10032)+E(f821(x10033,x10034,x10035,x10031),f821(x10033,x10034,x10035,x10032)) % 166.45/166.24 [1004]~E(x10041,x10042)+E(f725(x10041,x10043,x10044,x10045,x10046),f725(x10042,x10043,x10044,x10045,x10046)) % 166.45/166.24 [1005]~E(x10051,x10052)+E(f725(x10053,x10051,x10054,x10055,x10056),f725(x10053,x10052,x10054,x10055,x10056)) % 166.45/166.24 [1006]~E(x10061,x10062)+E(f725(x10063,x10064,x10061,x10065,x10066),f725(x10063,x10064,x10062,x10065,x10066)) % 166.45/166.24 [1007]~E(x10071,x10072)+E(f725(x10073,x10074,x10075,x10071,x10076),f725(x10073,x10074,x10075,x10072,x10076)) % 166.45/166.24 [1008]~E(x10081,x10082)+E(f725(x10083,x10084,x10085,x10086,x10081),f725(x10083,x10084,x10085,x10086,x10082)) % 166.45/166.24 [1009]~E(x10091,x10092)+E(f449(x10091,x10093,x10094),f449(x10092,x10093,x10094)) % 166.45/166.24 [1010]~E(x10101,x10102)+E(f449(x10103,x10101,x10104),f449(x10103,x10102,x10104)) % 166.45/166.24 [1011]~E(x10111,x10112)+E(f449(x10113,x10114,x10111),f449(x10113,x10114,x10112)) % 166.45/166.24 [1012]~E(x10121,x10122)+E(f122(x10121,x10123,x10124),f122(x10122,x10123,x10124)) % 166.45/166.24 [1013]~E(x10131,x10132)+E(f122(x10133,x10131,x10134),f122(x10133,x10132,x10134)) % 166.45/166.24 [1014]~E(x10141,x10142)+E(f122(x10143,x10144,x10141),f122(x10143,x10144,x10142)) % 166.45/166.24 [1015]~E(x10151,x10152)+E(f389(x10151,x10153),f389(x10152,x10153)) % 166.45/166.24 [1016]~E(x10161,x10162)+E(f389(x10163,x10161),f389(x10163,x10162)) % 166.45/166.24 [1017]~E(x10171,x10172)+E(f32(x10171,x10173),f32(x10172,x10173)) % 166.45/166.24 [1018]~E(x10181,x10182)+E(f32(x10183,x10181),f32(x10183,x10182)) % 166.45/166.24 [1019]~E(x10191,x10192)+E(f301(x10191,x10193,x10194,x10195),f301(x10192,x10193,x10194,x10195)) % 166.45/166.24 [1020]~E(x10201,x10202)+E(f301(x10203,x10201,x10204,x10205),f301(x10203,x10202,x10204,x10205)) % 166.45/166.24 [1021]~E(x10211,x10212)+E(f301(x10213,x10214,x10211,x10215),f301(x10213,x10214,x10212,x10215)) % 166.45/166.24 [1022]~E(x10221,x10222)+E(f301(x10223,x10224,x10225,x10221),f301(x10223,x10224,x10225,x10222)) % 166.45/166.24 [1023]~E(x10231,x10232)+E(f365(x10231,x10233),f365(x10232,x10233)) % 166.45/166.24 [1024]~E(x10241,x10242)+E(f365(x10243,x10241),f365(x10243,x10242)) % 166.45/166.24 [1025]~E(x10251,x10252)+E(f183(x10251),f183(x10252)) % 166.45/166.24 [1026]~E(x10261,x10262)+E(f69(x10261,x10263,x10264),f69(x10262,x10263,x10264)) % 166.45/166.24 [1027]~E(x10271,x10272)+E(f69(x10273,x10271,x10274),f69(x10273,x10272,x10274)) % 166.45/166.24 [1028]~E(x10281,x10282)+E(f69(x10283,x10284,x10281),f69(x10283,x10284,x10282)) % 166.45/166.24 [1029]~E(x10291,x10292)+E(f131(x10291,x10293,x10294,x10295,x10296),f131(x10292,x10293,x10294,x10295,x10296)) % 166.45/166.24 [1030]~E(x10301,x10302)+E(f131(x10303,x10301,x10304,x10305,x10306),f131(x10303,x10302,x10304,x10305,x10306)) % 166.45/166.24 [1031]~E(x10311,x10312)+E(f131(x10313,x10314,x10311,x10315,x10316),f131(x10313,x10314,x10312,x10315,x10316)) % 166.45/166.24 [1032]~E(x10321,x10322)+E(f131(x10323,x10324,x10325,x10321,x10326),f131(x10323,x10324,x10325,x10322,x10326)) % 166.45/166.24 [1033]~E(x10331,x10332)+E(f131(x10333,x10334,x10335,x10336,x10331),f131(x10333,x10334,x10335,x10336,x10332)) % 166.45/166.24 [1034]~E(x10341,x10342)+E(f459(x10341,x10343),f459(x10342,x10343)) % 166.45/166.24 [1035]~E(x10351,x10352)+E(f459(x10353,x10351),f459(x10353,x10352)) % 166.45/166.24 [1036]~E(x10361,x10362)+E(f298(x10361,x10363,x10364,x10365),f298(x10362,x10363,x10364,x10365)) % 166.45/166.24 [1037]~E(x10371,x10372)+E(f298(x10373,x10371,x10374,x10375),f298(x10373,x10372,x10374,x10375)) % 166.45/166.24 [1038]~E(x10381,x10382)+E(f298(x10383,x10384,x10381,x10385),f298(x10383,x10384,x10382,x10385)) % 166.45/166.24 [1039]~E(x10391,x10392)+E(f298(x10393,x10394,x10395,x10391),f298(x10393,x10394,x10395,x10392)) % 166.45/166.24 [1040]~E(x10401,x10402)+E(f810(x10401,x10403,x10404,x10405,x10406,x10407,x10408),f810(x10402,x10403,x10404,x10405,x10406,x10407,x10408)) % 166.45/166.24 [1041]~E(x10411,x10412)+E(f810(x10413,x10411,x10414,x10415,x10416,x10417,x10418),f810(x10413,x10412,x10414,x10415,x10416,x10417,x10418)) % 166.45/166.24 [1042]~E(x10421,x10422)+E(f810(x10423,x10424,x10421,x10425,x10426,x10427,x10428),f810(x10423,x10424,x10422,x10425,x10426,x10427,x10428)) % 166.45/166.24 [1043]~E(x10431,x10432)+E(f810(x10433,x10434,x10435,x10431,x10436,x10437,x10438),f810(x10433,x10434,x10435,x10432,x10436,x10437,x10438)) % 166.45/166.24 [1044]~E(x10441,x10442)+E(f810(x10443,x10444,x10445,x10446,x10441,x10447,x10448),f810(x10443,x10444,x10445,x10446,x10442,x10447,x10448)) % 166.45/166.24 [1045]~E(x10451,x10452)+E(f810(x10453,x10454,x10455,x10456,x10457,x10451,x10458),f810(x10453,x10454,x10455,x10456,x10457,x10452,x10458)) % 166.45/166.24 [1046]~E(x10461,x10462)+E(f810(x10463,x10464,x10465,x10466,x10467,x10468,x10461),f810(x10463,x10464,x10465,x10466,x10467,x10468,x10462)) % 166.45/166.24 [1047]~E(x10471,x10472)+E(f350(x10471,x10473),f350(x10472,x10473)) % 166.45/166.24 [1048]~E(x10481,x10482)+E(f350(x10483,x10481),f350(x10483,x10482)) % 166.45/166.24 [1049]~E(x10491,x10492)+E(f348(x10491,x10493,x10494,x10495,x10496),f348(x10492,x10493,x10494,x10495,x10496)) % 166.45/166.24 [1050]~E(x10501,x10502)+E(f348(x10503,x10501,x10504,x10505,x10506),f348(x10503,x10502,x10504,x10505,x10506)) % 166.45/166.24 [1051]~E(x10511,x10512)+E(f348(x10513,x10514,x10511,x10515,x10516),f348(x10513,x10514,x10512,x10515,x10516)) % 166.45/166.24 [1052]~E(x10521,x10522)+E(f348(x10523,x10524,x10525,x10521,x10526),f348(x10523,x10524,x10525,x10522,x10526)) % 166.45/166.24 [1053]~E(x10531,x10532)+E(f348(x10533,x10534,x10535,x10536,x10531),f348(x10533,x10534,x10535,x10536,x10532)) % 166.45/166.24 [1054]~E(x10541,x10542)+E(f651(x10541,x10543,x10544),f651(x10542,x10543,x10544)) % 166.45/166.24 [1055]~E(x10551,x10552)+E(f651(x10553,x10551,x10554),f651(x10553,x10552,x10554)) % 166.45/166.24 [1056]~E(x10561,x10562)+E(f651(x10563,x10564,x10561),f651(x10563,x10564,x10562)) % 166.45/166.24 [1057]~E(x10571,x10572)+E(f429(x10571,x10573,x10574,x10575,x10576),f429(x10572,x10573,x10574,x10575,x10576)) % 166.45/166.24 [1058]~E(x10581,x10582)+E(f429(x10583,x10581,x10584,x10585,x10586),f429(x10583,x10582,x10584,x10585,x10586)) % 166.45/166.24 [1059]~E(x10591,x10592)+E(f429(x10593,x10594,x10591,x10595,x10596),f429(x10593,x10594,x10592,x10595,x10596)) % 166.45/166.24 [1060]~E(x10601,x10602)+E(f429(x10603,x10604,x10605,x10601,x10606),f429(x10603,x10604,x10605,x10602,x10606)) % 166.45/166.24 [1061]~E(x10611,x10612)+E(f429(x10613,x10614,x10615,x10616,x10611),f429(x10613,x10614,x10615,x10616,x10612)) % 166.45/166.24 [1062]~E(x10621,x10622)+E(f648(x10621,x10623,x10624,x10625),f648(x10622,x10623,x10624,x10625)) % 166.45/166.24 [1063]~E(x10631,x10632)+E(f648(x10633,x10631,x10634,x10635),f648(x10633,x10632,x10634,x10635)) % 166.45/166.24 [1064]~E(x10641,x10642)+E(f648(x10643,x10644,x10641,x10645),f648(x10643,x10644,x10642,x10645)) % 166.45/166.24 [1065]~E(x10651,x10652)+E(f648(x10653,x10654,x10655,x10651),f648(x10653,x10654,x10655,x10652)) % 166.45/166.24 [1066]~E(x10661,x10662)+E(f861(x10661,x10663,x10664,x10665),f861(x10662,x10663,x10664,x10665)) % 166.45/166.24 [1067]~E(x10671,x10672)+E(f861(x10673,x10671,x10674,x10675),f861(x10673,x10672,x10674,x10675)) % 166.45/166.24 [1068]~E(x10681,x10682)+E(f861(x10683,x10684,x10681,x10685),f861(x10683,x10684,x10682,x10685)) % 166.45/166.24 [1069]~E(x10691,x10692)+E(f861(x10693,x10694,x10695,x10691),f861(x10693,x10694,x10695,x10692)) % 166.45/166.24 [1070]~E(x10701,x10702)+E(f222(x10701,x10703),f222(x10702,x10703)) % 166.45/166.24 [1071]~E(x10711,x10712)+E(f222(x10713,x10711),f222(x10713,x10712)) % 166.45/166.24 [1072]~E(x10721,x10722)+E(f455(x10721,x10723,x10724,x10725,x10726,x10727,x10728),f455(x10722,x10723,x10724,x10725,x10726,x10727,x10728)) % 166.45/166.24 [1073]~E(x10731,x10732)+E(f455(x10733,x10731,x10734,x10735,x10736,x10737,x10738),f455(x10733,x10732,x10734,x10735,x10736,x10737,x10738)) % 166.45/166.24 [1074]~E(x10741,x10742)+E(f455(x10743,x10744,x10741,x10745,x10746,x10747,x10748),f455(x10743,x10744,x10742,x10745,x10746,x10747,x10748)) % 166.45/166.24 [1075]~E(x10751,x10752)+E(f455(x10753,x10754,x10755,x10751,x10756,x10757,x10758),f455(x10753,x10754,x10755,x10752,x10756,x10757,x10758)) % 166.45/166.24 [1076]~E(x10761,x10762)+E(f455(x10763,x10764,x10765,x10766,x10761,x10767,x10768),f455(x10763,x10764,x10765,x10766,x10762,x10767,x10768)) % 166.45/166.24 [1077]~E(x10771,x10772)+E(f455(x10773,x10774,x10775,x10776,x10777,x10771,x10778),f455(x10773,x10774,x10775,x10776,x10777,x10772,x10778)) % 166.45/166.24 [1078]~E(x10781,x10782)+E(f455(x10783,x10784,x10785,x10786,x10787,x10788,x10781),f455(x10783,x10784,x10785,x10786,x10787,x10788,x10782)) % 166.45/166.24 [1079]~E(x10791,x10792)+E(f507(x10791,x10793,x10794),f507(x10792,x10793,x10794)) % 166.45/166.24 [1080]~E(x10801,x10802)+E(f507(x10803,x10801,x10804),f507(x10803,x10802,x10804)) % 166.45/166.24 [1081]~E(x10811,x10812)+E(f507(x10813,x10814,x10811),f507(x10813,x10814,x10812)) % 166.45/166.24 [1082]~E(x10821,x10822)+E(f522(x10821),f522(x10822)) % 166.45/166.24 [1083]~E(x10831,x10832)+E(f207(x10831,x10833,x10834),f207(x10832,x10833,x10834)) % 166.45/166.24 [1084]~E(x10841,x10842)+E(f207(x10843,x10841,x10844),f207(x10843,x10842,x10844)) % 166.45/166.24 [1085]~E(x10851,x10852)+E(f207(x10853,x10854,x10851),f207(x10853,x10854,x10852)) % 166.45/166.24 [1086]~E(x10861,x10862)+E(f436(x10861,x10863,x10864,x10865),f436(x10862,x10863,x10864,x10865)) % 166.45/166.24 [1087]~E(x10871,x10872)+E(f436(x10873,x10871,x10874,x10875),f436(x10873,x10872,x10874,x10875)) % 166.45/166.24 [1088]~E(x10881,x10882)+E(f436(x10883,x10884,x10881,x10885),f436(x10883,x10884,x10882,x10885)) % 166.45/166.24 [1089]~E(x10891,x10892)+E(f436(x10893,x10894,x10895,x10891),f436(x10893,x10894,x10895,x10892)) % 166.45/166.24 [1090]~E(x10901,x10902)+E(f686(x10901,x10903,x10904,x10905),f686(x10902,x10903,x10904,x10905)) % 166.45/166.24 [1091]~E(x10911,x10912)+E(f686(x10913,x10911,x10914,x10915),f686(x10913,x10912,x10914,x10915)) % 166.45/166.24 [1092]~E(x10921,x10922)+E(f686(x10923,x10924,x10921,x10925),f686(x10923,x10924,x10922,x10925)) % 166.45/166.24 [1093]~E(x10931,x10932)+E(f686(x10933,x10934,x10935,x10931),f686(x10933,x10934,x10935,x10932)) % 166.45/166.24 [1094]~E(x10941,x10942)+E(f871(x10941,x10943,x10944,x10945),f871(x10942,x10943,x10944,x10945)) % 166.45/166.24 [1095]~E(x10951,x10952)+E(f871(x10953,x10951,x10954,x10955),f871(x10953,x10952,x10954,x10955)) % 166.45/166.24 [1096]~E(x10961,x10962)+E(f871(x10963,x10964,x10961,x10965),f871(x10963,x10964,x10962,x10965)) % 166.45/166.24 [1097]~E(x10971,x10972)+E(f871(x10973,x10974,x10975,x10971),f871(x10973,x10974,x10975,x10972)) % 166.45/166.24 [1098]~E(x10981,x10982)+E(f45(x10981),f45(x10982)) % 166.45/166.24 [1099]~E(x10991,x10992)+E(f809(x10991,x10993,x10994,x10995,x10996,x10997,x10998),f809(x10992,x10993,x10994,x10995,x10996,x10997,x10998)) % 166.45/166.24 [1100]~E(x11001,x11002)+E(f809(x11003,x11001,x11004,x11005,x11006,x11007,x11008),f809(x11003,x11002,x11004,x11005,x11006,x11007,x11008)) % 166.45/166.24 [1101]~E(x11011,x11012)+E(f809(x11013,x11014,x11011,x11015,x11016,x11017,x11018),f809(x11013,x11014,x11012,x11015,x11016,x11017,x11018)) % 166.45/166.24 [1102]~E(x11021,x11022)+E(f809(x11023,x11024,x11025,x11021,x11026,x11027,x11028),f809(x11023,x11024,x11025,x11022,x11026,x11027,x11028)) % 166.45/166.24 [1103]~E(x11031,x11032)+E(f809(x11033,x11034,x11035,x11036,x11031,x11037,x11038),f809(x11033,x11034,x11035,x11036,x11032,x11037,x11038)) % 166.45/166.24 [1104]~E(x11041,x11042)+E(f809(x11043,x11044,x11045,x11046,x11047,x11041,x11048),f809(x11043,x11044,x11045,x11046,x11047,x11042,x11048)) % 166.45/166.24 [1105]~E(x11051,x11052)+E(f809(x11053,x11054,x11055,x11056,x11057,x11058,x11051),f809(x11053,x11054,x11055,x11056,x11057,x11058,x11052)) % 166.45/166.24 [1106]~E(x11061,x11062)+E(f654(x11061,x11063,x11064,x11065),f654(x11062,x11063,x11064,x11065)) % 166.45/166.24 [1107]~E(x11071,x11072)+E(f654(x11073,x11071,x11074,x11075),f654(x11073,x11072,x11074,x11075)) % 166.45/166.24 [1108]~E(x11081,x11082)+E(f654(x11083,x11084,x11081,x11085),f654(x11083,x11084,x11082,x11085)) % 166.45/166.24 [1109]~E(x11091,x11092)+E(f654(x11093,x11094,x11095,x11091),f654(x11093,x11094,x11095,x11092)) % 166.45/166.24 [1110]~E(x11101,x11102)+E(f795(x11101,x11103,x11104,x11105),f795(x11102,x11103,x11104,x11105)) % 166.45/166.24 [1111]~E(x11111,x11112)+E(f795(x11113,x11111,x11114,x11115),f795(x11113,x11112,x11114,x11115)) % 166.45/166.24 [1112]~E(x11121,x11122)+E(f795(x11123,x11124,x11121,x11125),f795(x11123,x11124,x11122,x11125)) % 166.45/166.24 [1113]~E(x11131,x11132)+E(f795(x11133,x11134,x11135,x11131),f795(x11133,x11134,x11135,x11132)) % 166.45/166.24 [1114]~E(x11141,x11142)+E(f743(x11141,x11143,x11144),f743(x11142,x11143,x11144)) % 166.45/166.24 [1115]~E(x11151,x11152)+E(f743(x11153,x11151,x11154),f743(x11153,x11152,x11154)) % 166.45/166.24 [1116]~E(x11161,x11162)+E(f743(x11163,x11164,x11161),f743(x11163,x11164,x11162)) % 166.45/166.24 [1117]~E(x11171,x11172)+E(f729(x11171,x11173,x11174),f729(x11172,x11173,x11174)) % 166.45/166.24 [1118]~E(x11181,x11182)+E(f729(x11183,x11181,x11184),f729(x11183,x11182,x11184)) % 166.45/166.24 [1119]~E(x11191,x11192)+E(f729(x11193,x11194,x11191),f729(x11193,x11194,x11192)) % 166.45/166.24 [1120]~E(x11201,x11202)+E(f767(x11201,x11203,x11204,x11205),f767(x11202,x11203,x11204,x11205)) % 166.45/166.24 [1121]~E(x11211,x11212)+E(f767(x11213,x11211,x11214,x11215),f767(x11213,x11212,x11214,x11215)) % 166.45/166.24 [1122]~E(x11221,x11222)+E(f767(x11223,x11224,x11221,x11225),f767(x11223,x11224,x11222,x11225)) % 166.45/166.24 [1123]~E(x11231,x11232)+E(f767(x11233,x11234,x11235,x11231),f767(x11233,x11234,x11235,x11232)) % 166.45/166.24 [1124]~E(x11241,x11242)+E(f287(x11241,x11243),f287(x11242,x11243)) % 166.45/166.24 [1125]~E(x11251,x11252)+E(f287(x11253,x11251),f287(x11253,x11252)) % 166.45/166.24 [1126]~E(x11261,x11262)+E(f451(x11261,x11263,x11264,x11265),f451(x11262,x11263,x11264,x11265)) % 166.45/166.24 [1127]~E(x11271,x11272)+E(f451(x11273,x11271,x11274,x11275),f451(x11273,x11272,x11274,x11275)) % 166.45/166.24 [1128]~E(x11281,x11282)+E(f451(x11283,x11284,x11281,x11285),f451(x11283,x11284,x11282,x11285)) % 166.45/166.24 [1129]~E(x11291,x11292)+E(f451(x11293,x11294,x11295,x11291),f451(x11293,x11294,x11295,x11292)) % 166.45/166.24 [1130]~E(x11301,x11302)+E(f664(x11301,x11303,x11304,x11305),f664(x11302,x11303,x11304,x11305)) % 166.45/166.24 [1131]~E(x11311,x11312)+E(f664(x11313,x11311,x11314,x11315),f664(x11313,x11312,x11314,x11315)) % 166.45/166.24 [1132]~E(x11321,x11322)+E(f664(x11323,x11324,x11321,x11325),f664(x11323,x11324,x11322,x11325)) % 166.45/166.24 [1133]~E(x11331,x11332)+E(f664(x11333,x11334,x11335,x11331),f664(x11333,x11334,x11335,x11332)) % 166.45/166.24 [1134]~E(x11341,x11342)+E(f781(x11341,x11343,x11344),f781(x11342,x11343,x11344)) % 166.45/166.24 [1135]~E(x11351,x11352)+E(f781(x11353,x11351,x11354),f781(x11353,x11352,x11354)) % 166.45/166.24 [1136]~E(x11361,x11362)+E(f781(x11363,x11364,x11361),f781(x11363,x11364,x11362)) % 166.45/166.24 [1137]~E(x11371,x11372)+E(f179(x11371,x11373,x11374),f179(x11372,x11373,x11374)) % 166.45/166.24 [1138]~E(x11381,x11382)+E(f179(x11383,x11381,x11384),f179(x11383,x11382,x11384)) % 166.45/166.24 [1139]~E(x11391,x11392)+E(f179(x11393,x11394,x11391),f179(x11393,x11394,x11392)) % 166.45/166.24 [1140]~E(x11401,x11402)+E(f334(x11401),f334(x11402)) % 166.45/166.24 [1141]~E(x11411,x11412)+E(f532(x11411,x11413),f532(x11412,x11413)) % 166.45/166.24 [1142]~E(x11421,x11422)+E(f532(x11423,x11421),f532(x11423,x11422)) % 166.45/166.24 [1143]~E(x11431,x11432)+E(f714(x11431,x11433,x11434),f714(x11432,x11433,x11434)) % 166.45/166.24 [1144]~E(x11441,x11442)+E(f714(x11443,x11441,x11444),f714(x11443,x11442,x11444)) % 166.45/166.24 [1145]~E(x11451,x11452)+E(f714(x11453,x11454,x11451),f714(x11453,x11454,x11452)) % 166.45/166.24 [1146]~E(x11461,x11462)+E(f478(x11461,x11463,x11464),f478(x11462,x11463,x11464)) % 166.45/166.24 [1147]~E(x11471,x11472)+E(f478(x11473,x11471,x11474),f478(x11473,x11472,x11474)) % 166.45/166.24 [1148]~E(x11481,x11482)+E(f478(x11483,x11484,x11481),f478(x11483,x11484,x11482)) % 166.45/166.24 [1149]~E(x11491,x11492)+E(f231(x11491,x11493),f231(x11492,x11493)) % 166.45/166.24 [1150]~E(x11501,x11502)+E(f231(x11503,x11501),f231(x11503,x11502)) % 166.45/166.24 [1151]~E(x11511,x11512)+E(f637(x11511,x11513,x11514,x11515,x11516,x11517,x11518),f637(x11512,x11513,x11514,x11515,x11516,x11517,x11518)) % 166.45/166.24 [1152]~E(x11521,x11522)+E(f637(x11523,x11521,x11524,x11525,x11526,x11527,x11528),f637(x11523,x11522,x11524,x11525,x11526,x11527,x11528)) % 166.45/166.24 [1153]~E(x11531,x11532)+E(f637(x11533,x11534,x11531,x11535,x11536,x11537,x11538),f637(x11533,x11534,x11532,x11535,x11536,x11537,x11538)) % 166.45/166.24 [1154]~E(x11541,x11542)+E(f637(x11543,x11544,x11545,x11541,x11546,x11547,x11548),f637(x11543,x11544,x11545,x11542,x11546,x11547,x11548)) % 166.45/166.24 [1155]~E(x11551,x11552)+E(f637(x11553,x11554,x11555,x11556,x11551,x11557,x11558),f637(x11553,x11554,x11555,x11556,x11552,x11557,x11558)) % 166.45/166.24 [1156]~E(x11561,x11562)+E(f637(x11563,x11564,x11565,x11566,x11567,x11561,x11568),f637(x11563,x11564,x11565,x11566,x11567,x11562,x11568)) % 166.45/166.24 [1157]~E(x11571,x11572)+E(f637(x11573,x11574,x11575,x11576,x11577,x11578,x11571),f637(x11573,x11574,x11575,x11576,x11577,x11578,x11572)) % 166.45/166.24 [1158]~E(x11581,x11582)+E(f662(x11581,x11583),f662(x11582,x11583)) % 166.45/166.24 [1159]~E(x11591,x11592)+E(f662(x11593,x11591),f662(x11593,x11592)) % 166.45/166.24 [1160]~E(x11601,x11602)+E(f852(x11601,x11603,x11604),f852(x11602,x11603,x11604)) % 166.45/166.24 [1161]~E(x11611,x11612)+E(f852(x11613,x11611,x11614),f852(x11613,x11612,x11614)) % 166.45/166.24 [1162]~E(x11621,x11622)+E(f852(x11623,x11624,x11621),f852(x11623,x11624,x11622)) % 166.45/166.24 [1163]~E(x11631,x11632)+E(f623(x11631,x11633,x11634,x11635,x11636),f623(x11632,x11633,x11634,x11635,x11636)) % 166.45/166.24 [1164]~E(x11641,x11642)+E(f623(x11643,x11641,x11644,x11645,x11646),f623(x11643,x11642,x11644,x11645,x11646)) % 166.45/166.24 [1165]~E(x11651,x11652)+E(f623(x11653,x11654,x11651,x11655,x11656),f623(x11653,x11654,x11652,x11655,x11656)) % 166.45/166.24 [1166]~E(x11661,x11662)+E(f623(x11663,x11664,x11665,x11661,x11666),f623(x11663,x11664,x11665,x11662,x11666)) % 166.45/166.24 [1167]~E(x11671,x11672)+E(f623(x11673,x11674,x11675,x11676,x11671),f623(x11673,x11674,x11675,x11676,x11672)) % 166.45/166.24 [1168]~E(x11681,x11682)+E(f258(x11681,x11683,x11684,x11685,x11686),f258(x11682,x11683,x11684,x11685,x11686)) % 166.45/166.24 [1169]~E(x11691,x11692)+E(f258(x11693,x11691,x11694,x11695,x11696),f258(x11693,x11692,x11694,x11695,x11696)) % 166.45/166.24 [1170]~E(x11701,x11702)+E(f258(x11703,x11704,x11701,x11705,x11706),f258(x11703,x11704,x11702,x11705,x11706)) % 166.45/166.24 [1171]~E(x11711,x11712)+E(f258(x11713,x11714,x11715,x11711,x11716),f258(x11713,x11714,x11715,x11712,x11716)) % 166.45/166.24 [1172]~E(x11721,x11722)+E(f258(x11723,x11724,x11725,x11726,x11721),f258(x11723,x11724,x11725,x11726,x11722)) % 166.45/166.24 [1173]~E(x11731,x11732)+E(f397(x11731,x11733,x11734,x11735,x11736),f397(x11732,x11733,x11734,x11735,x11736)) % 166.45/166.24 [1174]~E(x11741,x11742)+E(f397(x11743,x11741,x11744,x11745,x11746),f397(x11743,x11742,x11744,x11745,x11746)) % 166.45/166.24 [1175]~E(x11751,x11752)+E(f397(x11753,x11754,x11751,x11755,x11756),f397(x11753,x11754,x11752,x11755,x11756)) % 166.45/166.24 [1176]~E(x11761,x11762)+E(f397(x11763,x11764,x11765,x11761,x11766),f397(x11763,x11764,x11765,x11762,x11766)) % 166.45/166.24 [1177]~E(x11771,x11772)+E(f397(x11773,x11774,x11775,x11776,x11771),f397(x11773,x11774,x11775,x11776,x11772)) % 166.45/166.24 [1178]~E(x11781,x11782)+E(f590(x11781,x11783,x11784,x11785,x11786,x11787),f590(x11782,x11783,x11784,x11785,x11786,x11787)) % 166.45/166.24 [1179]~E(x11791,x11792)+E(f590(x11793,x11791,x11794,x11795,x11796,x11797),f590(x11793,x11792,x11794,x11795,x11796,x11797)) % 166.45/166.24 [1180]~E(x11801,x11802)+E(f590(x11803,x11804,x11801,x11805,x11806,x11807),f590(x11803,x11804,x11802,x11805,x11806,x11807)) % 166.45/166.24 [1181]~E(x11811,x11812)+E(f590(x11813,x11814,x11815,x11811,x11816,x11817),f590(x11813,x11814,x11815,x11812,x11816,x11817)) % 166.45/166.24 [1182]~E(x11821,x11822)+E(f590(x11823,x11824,x11825,x11826,x11821,x11827),f590(x11823,x11824,x11825,x11826,x11822,x11827)) % 166.45/166.24 [1183]~E(x11831,x11832)+E(f590(x11833,x11834,x11835,x11836,x11837,x11831),f590(x11833,x11834,x11835,x11836,x11837,x11832)) % 166.45/166.24 [1184]~E(x11841,x11842)+E(f203(x11841,x11843),f203(x11842,x11843)) % 166.45/166.24 [1185]~E(x11851,x11852)+E(f203(x11853,x11851),f203(x11853,x11852)) % 166.45/166.24 [1186]~E(x11861,x11862)+E(f550(x11861,x11863,x11864,x11865,x11866,x11867),f550(x11862,x11863,x11864,x11865,x11866,x11867)) % 166.45/166.24 [1187]~E(x11871,x11872)+E(f550(x11873,x11871,x11874,x11875,x11876,x11877),f550(x11873,x11872,x11874,x11875,x11876,x11877)) % 166.45/166.24 [1188]~E(x11881,x11882)+E(f550(x11883,x11884,x11881,x11885,x11886,x11887),f550(x11883,x11884,x11882,x11885,x11886,x11887)) % 166.45/166.24 [1189]~E(x11891,x11892)+E(f550(x11893,x11894,x11895,x11891,x11896,x11897),f550(x11893,x11894,x11895,x11892,x11896,x11897)) % 166.45/166.24 [1190]~E(x11901,x11902)+E(f550(x11903,x11904,x11905,x11906,x11901,x11907),f550(x11903,x11904,x11905,x11906,x11902,x11907)) % 166.45/166.24 [1191]~E(x11911,x11912)+E(f550(x11913,x11914,x11915,x11916,x11917,x11911),f550(x11913,x11914,x11915,x11916,x11917,x11912)) % 166.45/166.24 [1192]~E(x11921,x11922)+E(f133(x11921),f133(x11922)) % 166.45/166.24 [1193]~E(x11931,x11932)+E(f414(x11931,x11933,x11934,x11935,x11936,x11937),f414(x11932,x11933,x11934,x11935,x11936,x11937)) % 166.45/166.24 [1194]~E(x11941,x11942)+E(f414(x11943,x11941,x11944,x11945,x11946,x11947),f414(x11943,x11942,x11944,x11945,x11946,x11947)) % 166.45/166.24 [1195]~E(x11951,x11952)+E(f414(x11953,x11954,x11951,x11955,x11956,x11957),f414(x11953,x11954,x11952,x11955,x11956,x11957)) % 166.45/166.24 [1196]~E(x11961,x11962)+E(f414(x11963,x11964,x11965,x11961,x11966,x11967),f414(x11963,x11964,x11965,x11962,x11966,x11967)) % 166.45/166.24 [1197]~E(x11971,x11972)+E(f414(x11973,x11974,x11975,x11976,x11971,x11977),f414(x11973,x11974,x11975,x11976,x11972,x11977)) % 166.45/166.24 [1198]~E(x11981,x11982)+E(f414(x11983,x11984,x11985,x11986,x11987,x11981),f414(x11983,x11984,x11985,x11986,x11987,x11982)) % 166.45/166.24 [1199]~E(x11991,x11992)+E(f885(x11991),f885(x11992)) % 166.45/166.24 [1200]~E(x12001,x12002)+E(f867(x12001,x12003,x12004),f867(x12002,x12003,x12004)) % 166.45/166.24 [1201]~E(x12011,x12012)+E(f867(x12013,x12011,x12014),f867(x12013,x12012,x12014)) % 166.45/166.24 [1202]~E(x12021,x12022)+E(f867(x12023,x12024,x12021),f867(x12023,x12024,x12022)) % 166.45/166.24 [1203]~E(x12031,x12032)+E(f693(x12031,x12033,x12034,x12035),f693(x12032,x12033,x12034,x12035)) % 166.45/166.24 [1204]~E(x12041,x12042)+E(f693(x12043,x12041,x12044,x12045),f693(x12043,x12042,x12044,x12045)) % 166.45/166.24 [1205]~E(x12051,x12052)+E(f693(x12053,x12054,x12051,x12055),f693(x12053,x12054,x12052,x12055)) % 166.45/166.24 [1206]~E(x12061,x12062)+E(f693(x12063,x12064,x12065,x12061),f693(x12063,x12064,x12065,x12062)) % 166.45/166.24 [1207]~E(x12071,x12072)+E(f812(x12071,x12073,x12074,x12075,x12076,x12077,x12078),f812(x12072,x12073,x12074,x12075,x12076,x12077,x12078)) % 166.45/166.24 [1208]~E(x12081,x12082)+E(f812(x12083,x12081,x12084,x12085,x12086,x12087,x12088),f812(x12083,x12082,x12084,x12085,x12086,x12087,x12088)) % 166.45/166.24 [1209]~E(x12091,x12092)+E(f812(x12093,x12094,x12091,x12095,x12096,x12097,x12098),f812(x12093,x12094,x12092,x12095,x12096,x12097,x12098)) % 166.45/166.24 [1210]~E(x12101,x12102)+E(f812(x12103,x12104,x12105,x12101,x12106,x12107,x12108),f812(x12103,x12104,x12105,x12102,x12106,x12107,x12108)) % 166.45/166.24 [1211]~E(x12111,x12112)+E(f812(x12113,x12114,x12115,x12116,x12111,x12117,x12118),f812(x12113,x12114,x12115,x12116,x12112,x12117,x12118)) % 166.45/166.24 [1212]~E(x12121,x12122)+E(f812(x12123,x12124,x12125,x12126,x12127,x12121,x12128),f812(x12123,x12124,x12125,x12126,x12127,x12122,x12128)) % 166.45/166.24 [1213]~E(x12131,x12132)+E(f812(x12133,x12134,x12135,x12136,x12137,x12138,x12131),f812(x12133,x12134,x12135,x12136,x12137,x12138,x12132)) % 166.45/166.24 [1214]~E(x12141,x12142)+E(f768(x12141,x12143,x12144,x12145,x12146),f768(x12142,x12143,x12144,x12145,x12146)) % 166.45/166.24 [1215]~E(x12151,x12152)+E(f768(x12153,x12151,x12154,x12155,x12156),f768(x12153,x12152,x12154,x12155,x12156)) % 166.45/166.24 [1216]~E(x12161,x12162)+E(f768(x12163,x12164,x12161,x12165,x12166),f768(x12163,x12164,x12162,x12165,x12166)) % 166.45/166.24 [1217]~E(x12171,x12172)+E(f768(x12173,x12174,x12175,x12171,x12176),f768(x12173,x12174,x12175,x12172,x12176)) % 166.45/166.24 [1218]~E(x12181,x12182)+E(f768(x12183,x12184,x12185,x12186,x12181),f768(x12183,x12184,x12185,x12186,x12182)) % 166.45/166.24 [1219]~E(x12191,x12192)+E(f338(x12191),f338(x12192)) % 166.45/166.24 [1220]~E(x12201,x12202)+E(f518(x12201,x12203,x12204,x12205,x12206,x12207,x12208),f518(x12202,x12203,x12204,x12205,x12206,x12207,x12208)) % 166.45/166.24 [1221]~E(x12211,x12212)+E(f518(x12213,x12211,x12214,x12215,x12216,x12217,x12218),f518(x12213,x12212,x12214,x12215,x12216,x12217,x12218)) % 166.45/166.24 [1222]~E(x12221,x12222)+E(f518(x12223,x12224,x12221,x12225,x12226,x12227,x12228),f518(x12223,x12224,x12222,x12225,x12226,x12227,x12228)) % 166.45/166.24 [1223]~E(x12231,x12232)+E(f518(x12233,x12234,x12235,x12231,x12236,x12237,x12238),f518(x12233,x12234,x12235,x12232,x12236,x12237,x12238)) % 166.45/166.24 [1224]~E(x12241,x12242)+E(f518(x12243,x12244,x12245,x12246,x12241,x12247,x12248),f518(x12243,x12244,x12245,x12246,x12242,x12247,x12248)) % 166.45/166.24 [1225]~E(x12251,x12252)+E(f518(x12253,x12254,x12255,x12256,x12257,x12251,x12258),f518(x12253,x12254,x12255,x12256,x12257,x12252,x12258)) % 166.45/166.24 [1226]~E(x12261,x12262)+E(f518(x12263,x12264,x12265,x12266,x12267,x12268,x12261),f518(x12263,x12264,x12265,x12266,x12267,x12268,x12262)) % 166.45/166.24 [1227]~E(x12271,x12272)+E(f764(x12271,x12273,x12274),f764(x12272,x12273,x12274)) % 166.45/166.24 [1228]~E(x12281,x12282)+E(f764(x12283,x12281,x12284),f764(x12283,x12282,x12284)) % 166.45/166.24 [1229]~E(x12291,x12292)+E(f764(x12293,x12294,x12291),f764(x12293,x12294,x12292)) % 166.45/166.24 [1230]~E(x12301,x12302)+E(f431(x12301,x12303,x12304,x12305,x12306),f431(x12302,x12303,x12304,x12305,x12306)) % 166.45/166.24 [1231]~E(x12311,x12312)+E(f431(x12313,x12311,x12314,x12315,x12316),f431(x12313,x12312,x12314,x12315,x12316)) % 166.45/166.24 [1232]~E(x12321,x12322)+E(f431(x12323,x12324,x12321,x12325,x12326),f431(x12323,x12324,x12322,x12325,x12326)) % 166.45/166.24 [1233]~E(x12331,x12332)+E(f431(x12333,x12334,x12335,x12331,x12336),f431(x12333,x12334,x12335,x12332,x12336)) % 166.45/166.24 [1234]~E(x12341,x12342)+E(f431(x12343,x12344,x12345,x12346,x12341),f431(x12343,x12344,x12345,x12346,x12342)) % 166.45/166.24 [1235]~E(x12351,x12352)+E(f824(x12351),f824(x12352)) % 166.45/166.24 [1236]~E(x12361,x12362)+E(f468(x12361,x12363,x12364),f468(x12362,x12363,x12364)) % 166.45/166.24 [1237]~E(x12371,x12372)+E(f468(x12373,x12371,x12374),f468(x12373,x12372,x12374)) % 166.45/166.24 [1238]~E(x12381,x12382)+E(f468(x12383,x12384,x12381),f468(x12383,x12384,x12382)) % 166.45/166.24 [1239]~E(x12391,x12392)+E(f423(x12391,x12393,x12394,x12395),f423(x12392,x12393,x12394,x12395)) % 166.45/166.24 [1240]~E(x12401,x12402)+E(f423(x12403,x12401,x12404,x12405),f423(x12403,x12402,x12404,x12405)) % 166.45/166.24 [1241]~E(x12411,x12412)+E(f423(x12413,x12414,x12411,x12415),f423(x12413,x12414,x12412,x12415)) % 166.45/166.24 [1242]~E(x12421,x12422)+E(f423(x12423,x12424,x12425,x12421),f423(x12423,x12424,x12425,x12422)) % 166.45/166.24 [1243]~E(x12431,x12432)+E(f176(x12431,x12433,x12434),f176(x12432,x12433,x12434)) % 166.45/166.24 [1244]~E(x12441,x12442)+E(f176(x12443,x12441,x12444),f176(x12443,x12442,x12444)) % 166.45/166.24 [1245]~E(x12451,x12452)+E(f176(x12453,x12454,x12451),f176(x12453,x12454,x12452)) % 166.45/166.24 [1246]~E(x12461,x12462)+E(f501(x12461,x12463,x12464),f501(x12462,x12463,x12464)) % 166.45/166.24 [1247]~E(x12471,x12472)+E(f501(x12473,x12471,x12474),f501(x12473,x12472,x12474)) % 166.45/166.24 [1248]~E(x12481,x12482)+E(f501(x12483,x12484,x12481),f501(x12483,x12484,x12482)) % 166.45/166.24 [1249]~E(x12491,x12492)+E(f416(x12491,x12493),f416(x12492,x12493)) % 166.45/166.24 [1250]~E(x12501,x12502)+E(f416(x12503,x12501),f416(x12503,x12502)) % 166.45/166.24 [1251]~E(x12511,x12512)+E(f441(x12511,x12513,x12514),f441(x12512,x12513,x12514)) % 166.45/166.24 [1252]~E(x12521,x12522)+E(f441(x12523,x12521,x12524),f441(x12523,x12522,x12524)) % 166.45/166.24 [1253]~E(x12531,x12532)+E(f441(x12533,x12534,x12531),f441(x12533,x12534,x12532)) % 166.45/166.24 [1254]~E(x12541,x12542)+E(f452(x12541,x12543,x12544),f452(x12542,x12543,x12544)) % 166.45/166.24 [1255]~E(x12551,x12552)+E(f452(x12553,x12551,x12554),f452(x12553,x12552,x12554)) % 166.45/166.24 [1256]~E(x12561,x12562)+E(f452(x12563,x12564,x12561),f452(x12563,x12564,x12562)) % 166.45/166.24 [1257]~E(x12571,x12572)+E(f90(x12571),f90(x12572)) % 166.45/166.24 [1258]~E(x12581,x12582)+E(f229(x12581,x12583,x12584,x12585,x12586),f229(x12582,x12583,x12584,x12585,x12586)) % 166.45/166.24 [1259]~E(x12591,x12592)+E(f229(x12593,x12591,x12594,x12595,x12596),f229(x12593,x12592,x12594,x12595,x12596)) % 166.45/166.24 [1260]~E(x12601,x12602)+E(f229(x12603,x12604,x12601,x12605,x12606),f229(x12603,x12604,x12602,x12605,x12606)) % 166.45/166.24 [1261]~E(x12611,x12612)+E(f229(x12613,x12614,x12615,x12611,x12616),f229(x12613,x12614,x12615,x12612,x12616)) % 166.45/166.24 [1262]~E(x12621,x12622)+E(f229(x12623,x12624,x12625,x12626,x12621),f229(x12623,x12624,x12625,x12626,x12622)) % 166.45/166.24 [1263]~E(x12631,x12632)+E(f732(x12631,x12633),f732(x12632,x12633)) % 166.45/166.24 [1264]~E(x12641,x12642)+E(f732(x12643,x12641),f732(x12643,x12642)) % 166.45/166.24 [1265]~E(x12651,x12652)+E(f235(x12651,x12653,x12654,x12655),f235(x12652,x12653,x12654,x12655)) % 166.45/166.24 [1266]~E(x12661,x12662)+E(f235(x12663,x12661,x12664,x12665),f235(x12663,x12662,x12664,x12665)) % 166.45/166.24 [1267]~E(x12671,x12672)+E(f235(x12673,x12674,x12671,x12675),f235(x12673,x12674,x12672,x12675)) % 166.45/166.24 [1268]~E(x12681,x12682)+E(f235(x12683,x12684,x12685,x12681),f235(x12683,x12684,x12685,x12682)) % 166.45/166.24 [1269]~E(x12691,x12692)+E(f447(x12691,x12693),f447(x12692,x12693)) % 166.45/166.24 [1270]~E(x12701,x12702)+E(f447(x12703,x12701),f447(x12703,x12702)) % 166.45/166.24 [1271]~E(x12711,x12712)+E(f723(x12711,x12713,x12714,x12715,x12716),f723(x12712,x12713,x12714,x12715,x12716)) % 166.45/166.24 [1272]~E(x12721,x12722)+E(f723(x12723,x12721,x12724,x12725,x12726),f723(x12723,x12722,x12724,x12725,x12726)) % 166.45/166.24 [1273]~E(x12731,x12732)+E(f723(x12733,x12734,x12731,x12735,x12736),f723(x12733,x12734,x12732,x12735,x12736)) % 166.45/166.24 [1274]~E(x12741,x12742)+E(f723(x12743,x12744,x12745,x12741,x12746),f723(x12743,x12744,x12745,x12742,x12746)) % 166.45/166.24 [1275]~E(x12751,x12752)+E(f723(x12753,x12754,x12755,x12756,x12751),f723(x12753,x12754,x12755,x12756,x12752)) % 166.45/166.24 [1276]~E(x12761,x12762)+E(f707(x12761,x12763,x12764,x12765),f707(x12762,x12763,x12764,x12765)) % 166.45/166.24 [1277]~E(x12771,x12772)+E(f707(x12773,x12771,x12774,x12775),f707(x12773,x12772,x12774,x12775)) % 166.45/166.24 [1278]~E(x12781,x12782)+E(f707(x12783,x12784,x12781,x12785),f707(x12783,x12784,x12782,x12785)) % 166.45/166.24 [1279]~E(x12791,x12792)+E(f707(x12793,x12794,x12795,x12791),f707(x12793,x12794,x12795,x12792)) % 166.45/166.24 [1280]~E(x12801,x12802)+E(f822(x12801,x12803,x12804,x12805,x12806),f822(x12802,x12803,x12804,x12805,x12806)) % 166.45/166.24 [1281]~E(x12811,x12812)+E(f822(x12813,x12811,x12814,x12815,x12816),f822(x12813,x12812,x12814,x12815,x12816)) % 166.45/166.24 [1282]~E(x12821,x12822)+E(f822(x12823,x12824,x12821,x12825,x12826),f822(x12823,x12824,x12822,x12825,x12826)) % 166.45/166.24 [1283]~E(x12831,x12832)+E(f822(x12833,x12834,x12835,x12831,x12836),f822(x12833,x12834,x12835,x12832,x12836)) % 166.45/166.24 [1284]~E(x12841,x12842)+E(f822(x12843,x12844,x12845,x12846,x12841),f822(x12843,x12844,x12845,x12846,x12842)) % 166.45/166.24 [1285]~E(x12851,x12852)+E(f489(x12851,x12853,x12854),f489(x12852,x12853,x12854)) % 166.45/166.24 [1286]~E(x12861,x12862)+E(f489(x12863,x12861,x12864),f489(x12863,x12862,x12864)) % 166.45/166.24 [1287]~E(x12871,x12872)+E(f489(x12873,x12874,x12871),f489(x12873,x12874,x12872)) % 166.45/166.24 [1288]~E(x12881,x12882)+E(f538(x12881,x12883,x12884,x12885),f538(x12882,x12883,x12884,x12885)) % 166.45/166.24 [1289]~E(x12891,x12892)+E(f538(x12893,x12891,x12894,x12895),f538(x12893,x12892,x12894,x12895)) % 166.45/166.24 [1290]~E(x12901,x12902)+E(f538(x12903,x12904,x12901,x12905),f538(x12903,x12904,x12902,x12905)) % 166.45/166.24 [1291]~E(x12911,x12912)+E(f538(x12913,x12914,x12915,x12911),f538(x12913,x12914,x12915,x12912)) % 166.45/166.24 [1292]~E(x12921,x12922)+E(f524(x12921,x12923,x12924),f524(x12922,x12923,x12924)) % 166.45/166.24 [1293]~E(x12931,x12932)+E(f524(x12933,x12931,x12934),f524(x12933,x12932,x12934)) % 166.45/166.24 [1294]~E(x12941,x12942)+E(f524(x12943,x12944,x12941),f524(x12943,x12944,x12942)) % 166.45/166.24 [1295]~E(x12951,x12952)+E(f493(x12951,x12953,x12954,x12955,x12956,x12957),f493(x12952,x12953,x12954,x12955,x12956,x12957)) % 166.45/166.24 [1296]~E(x12961,x12962)+E(f493(x12963,x12961,x12964,x12965,x12966,x12967),f493(x12963,x12962,x12964,x12965,x12966,x12967)) % 166.45/166.24 [1297]~E(x12971,x12972)+E(f493(x12973,x12974,x12971,x12975,x12976,x12977),f493(x12973,x12974,x12972,x12975,x12976,x12977)) % 166.45/166.24 [1298]~E(x12981,x12982)+E(f493(x12983,x12984,x12985,x12981,x12986,x12987),f493(x12983,x12984,x12985,x12982,x12986,x12987)) % 166.45/166.24 [1299]~E(x12991,x12992)+E(f493(x12993,x12994,x12995,x12996,x12991,x12997),f493(x12993,x12994,x12995,x12996,x12992,x12997)) % 166.45/166.24 [1300]~E(x13001,x13002)+E(f493(x13003,x13004,x13005,x13006,x13007,x13001),f493(x13003,x13004,x13005,x13006,x13007,x13002)) % 166.45/166.24 [1301]~E(x13011,x13012)+E(f776(x13011,x13013,x13014),f776(x13012,x13013,x13014)) % 166.45/166.24 [1302]~E(x13021,x13022)+E(f776(x13023,x13021,x13024),f776(x13023,x13022,x13024)) % 166.45/166.24 [1303]~E(x13031,x13032)+E(f776(x13033,x13034,x13031),f776(x13033,x13034,x13032)) % 166.45/166.24 [1304]~E(x13041,x13042)+E(f838(x13041,x13043,x13044,x13045,x13046,x13047),f838(x13042,x13043,x13044,x13045,x13046,x13047)) % 166.45/166.24 [1305]~E(x13051,x13052)+E(f838(x13053,x13051,x13054,x13055,x13056,x13057),f838(x13053,x13052,x13054,x13055,x13056,x13057)) % 166.45/166.24 [1306]~E(x13061,x13062)+E(f838(x13063,x13064,x13061,x13065,x13066,x13067),f838(x13063,x13064,x13062,x13065,x13066,x13067)) % 166.45/166.24 [1307]~E(x13071,x13072)+E(f838(x13073,x13074,x13075,x13071,x13076,x13077),f838(x13073,x13074,x13075,x13072,x13076,x13077)) % 166.45/166.24 [1308]~E(x13081,x13082)+E(f838(x13083,x13084,x13085,x13086,x13081,x13087),f838(x13083,x13084,x13085,x13086,x13082,x13087)) % 166.45/166.24 [1309]~E(x13091,x13092)+E(f838(x13093,x13094,x13095,x13096,x13097,x13091),f838(x13093,x13094,x13095,x13096,x13097,x13092)) % 166.45/166.24 [1310]~E(x13101,x13102)+E(f509(x13101,x13103,x13104,x13105),f509(x13102,x13103,x13104,x13105)) % 166.45/166.24 [1311]~E(x13111,x13112)+E(f509(x13113,x13111,x13114,x13115),f509(x13113,x13112,x13114,x13115)) % 166.45/166.24 [1312]~E(x13121,x13122)+E(f509(x13123,x13124,x13121,x13125),f509(x13123,x13124,x13122,x13125)) % 166.45/166.24 [1313]~E(x13131,x13132)+E(f509(x13133,x13134,x13135,x13131),f509(x13133,x13134,x13135,x13132)) % 166.45/166.24 [1314]~E(x13141,x13142)+E(f57(x13141,x13143,x13144),f57(x13142,x13143,x13144)) % 166.45/166.24 [1315]~E(x13151,x13152)+E(f57(x13153,x13151,x13154),f57(x13153,x13152,x13154)) % 166.45/166.24 [1316]~E(x13161,x13162)+E(f57(x13163,x13164,x13161),f57(x13163,x13164,x13162)) % 166.45/166.24 [1317]~E(x13171,x13172)+E(f400(x13171,x13173,x13174,x13175,x13176),f400(x13172,x13173,x13174,x13175,x13176)) % 166.45/166.24 [1318]~E(x13181,x13182)+E(f400(x13183,x13181,x13184,x13185,x13186),f400(x13183,x13182,x13184,x13185,x13186)) % 166.45/166.24 [1319]~E(x13191,x13192)+E(f400(x13193,x13194,x13191,x13195,x13196),f400(x13193,x13194,x13192,x13195,x13196)) % 166.45/166.24 [1320]~E(x13201,x13202)+E(f400(x13203,x13204,x13205,x13201,x13206),f400(x13203,x13204,x13205,x13202,x13206)) % 166.45/166.24 [1321]~E(x13211,x13212)+E(f400(x13213,x13214,x13215,x13216,x13211),f400(x13213,x13214,x13215,x13216,x13212)) % 166.45/166.24 [1322]~E(x13221,x13222)+E(f874(x13221,x13223,x13224,x13225,x13226),f874(x13222,x13223,x13224,x13225,x13226)) % 166.45/166.24 [1323]~E(x13231,x13232)+E(f874(x13233,x13231,x13234,x13235,x13236),f874(x13233,x13232,x13234,x13235,x13236)) % 166.45/166.24 [1324]~E(x13241,x13242)+E(f874(x13243,x13244,x13241,x13245,x13246),f874(x13243,x13244,x13242,x13245,x13246)) % 166.45/166.24 [1325]~E(x13251,x13252)+E(f874(x13253,x13254,x13255,x13251,x13256),f874(x13253,x13254,x13255,x13252,x13256)) % 166.45/166.24 [1326]~E(x13261,x13262)+E(f874(x13263,x13264,x13265,x13266,x13261),f874(x13263,x13264,x13265,x13266,x13262)) % 166.45/166.24 [1327]~E(x13271,x13272)+E(f769(x13271,x13273,x13274,x13275,x13276),f769(x13272,x13273,x13274,x13275,x13276)) % 166.45/166.24 [1328]~E(x13281,x13282)+E(f769(x13283,x13281,x13284,x13285,x13286),f769(x13283,x13282,x13284,x13285,x13286)) % 166.45/166.24 [1329]~E(x13291,x13292)+E(f769(x13293,x13294,x13291,x13295,x13296),f769(x13293,x13294,x13292,x13295,x13296)) % 166.45/166.24 [1330]~E(x13301,x13302)+E(f769(x13303,x13304,x13305,x13301,x13306),f769(x13303,x13304,x13305,x13302,x13306)) % 166.45/166.24 [1331]~E(x13311,x13312)+E(f769(x13313,x13314,x13315,x13316,x13311),f769(x13313,x13314,x13315,x13316,x13312)) % 166.45/166.24 [1332]~E(x13321,x13322)+E(f604(x13321,x13323,x13324),f604(x13322,x13323,x13324)) % 166.45/166.24 [1333]~E(x13331,x13332)+E(f604(x13333,x13331,x13334),f604(x13333,x13332,x13334)) % 166.45/166.24 [1334]~E(x13341,x13342)+E(f604(x13343,x13344,x13341),f604(x13343,x13344,x13342)) % 166.45/166.24 [1335]~E(x13351,x13352)+E(f657(x13351,x13353,x13354,x13355),f657(x13352,x13353,x13354,x13355)) % 166.45/166.24 [1336]~E(x13361,x13362)+E(f657(x13363,x13361,x13364,x13365),f657(x13363,x13362,x13364,x13365)) % 166.45/166.24 [1337]~E(x13371,x13372)+E(f657(x13373,x13374,x13371,x13375),f657(x13373,x13374,x13372,x13375)) % 166.45/166.24 [1338]~E(x13381,x13382)+E(f657(x13383,x13384,x13385,x13381),f657(x13383,x13384,x13385,x13382)) % 166.45/166.24 [1339]~E(x13391,x13392)+E(f450(x13391,x13393,x13394,x13395),f450(x13392,x13393,x13394,x13395)) % 166.45/166.24 [1340]~E(x13401,x13402)+E(f450(x13403,x13401,x13404,x13405),f450(x13403,x13402,x13404,x13405)) % 166.45/166.24 [1341]~E(x13411,x13412)+E(f450(x13413,x13414,x13411,x13415),f450(x13413,x13414,x13412,x13415)) % 166.45/166.24 [1342]~E(x13421,x13422)+E(f450(x13423,x13424,x13425,x13421),f450(x13423,x13424,x13425,x13422)) % 166.45/166.24 [1343]~E(x13431,x13432)+E(f858(x13431,x13433,x13434,x13435,x13436,x13437),f858(x13432,x13433,x13434,x13435,x13436,x13437)) % 166.45/166.24 [1344]~E(x13441,x13442)+E(f858(x13443,x13441,x13444,x13445,x13446,x13447),f858(x13443,x13442,x13444,x13445,x13446,x13447)) % 166.45/166.24 [1345]~E(x13451,x13452)+E(f858(x13453,x13454,x13451,x13455,x13456,x13457),f858(x13453,x13454,x13452,x13455,x13456,x13457)) % 166.45/166.24 [1346]~E(x13461,x13462)+E(f858(x13463,x13464,x13465,x13461,x13466,x13467),f858(x13463,x13464,x13465,x13462,x13466,x13467)) % 166.45/166.24 [1347]~E(x13471,x13472)+E(f858(x13473,x13474,x13475,x13476,x13471,x13477),f858(x13473,x13474,x13475,x13476,x13472,x13477)) % 166.45/166.24 [1348]~E(x13481,x13482)+E(f858(x13483,x13484,x13485,x13486,x13487,x13481),f858(x13483,x13484,x13485,x13486,x13487,x13482)) % 166.45/166.24 [1349]~E(x13491,x13492)+E(f302(x13491,x13493,x13494,x13495,x13496),f302(x13492,x13493,x13494,x13495,x13496)) % 166.45/166.24 [1350]~E(x13501,x13502)+E(f302(x13503,x13501,x13504,x13505,x13506),f302(x13503,x13502,x13504,x13505,x13506)) % 166.45/166.24 [1351]~E(x13511,x13512)+E(f302(x13513,x13514,x13511,x13515,x13516),f302(x13513,x13514,x13512,x13515,x13516)) % 166.45/166.24 [1352]~E(x13521,x13522)+E(f302(x13523,x13524,x13525,x13521,x13526),f302(x13523,x13524,x13525,x13522,x13526)) % 166.45/166.24 [1353]~E(x13531,x13532)+E(f302(x13533,x13534,x13535,x13536,x13531),f302(x13533,x13534,x13535,x13536,x13532)) % 166.45/166.24 [1354]~E(x13541,x13542)+E(f514(x13541,x13543,x13544),f514(x13542,x13543,x13544)) % 166.45/166.24 [1355]~E(x13551,x13552)+E(f514(x13553,x13551,x13554),f514(x13553,x13552,x13554)) % 166.45/166.24 [1356]~E(x13561,x13562)+E(f514(x13563,x13564,x13561),f514(x13563,x13564,x13562)) % 166.45/166.24 [1357]~E(x13571,x13572)+E(f627(x13571,x13573,x13574,x13575),f627(x13572,x13573,x13574,x13575)) % 166.45/166.24 [1358]~E(x13581,x13582)+E(f627(x13583,x13581,x13584,x13585),f627(x13583,x13582,x13584,x13585)) % 166.45/166.24 [1359]~E(x13591,x13592)+E(f627(x13593,x13594,x13591,x13595),f627(x13593,x13594,x13592,x13595)) % 166.45/166.24 [1360]~E(x13601,x13602)+E(f627(x13603,x13604,x13605,x13601),f627(x13603,x13604,x13605,x13602)) % 166.45/166.24 [1361]~E(x13611,x13612)+E(f314(x13611,x13613),f314(x13612,x13613)) % 166.45/166.24 [1362]~E(x13621,x13622)+E(f314(x13623,x13621),f314(x13623,x13622)) % 166.45/166.24 [1363]~E(x13631,x13632)+E(f700(x13631,x13633,x13634),f700(x13632,x13633,x13634)) % 166.45/166.24 [1364]~E(x13641,x13642)+E(f700(x13643,x13641,x13644),f700(x13643,x13642,x13644)) % 166.45/166.24 [1365]~E(x13651,x13652)+E(f700(x13653,x13654,x13651),f700(x13653,x13654,x13652)) % 166.45/166.24 [1366]~E(x13661,x13662)+E(f790(x13661,x13663,x13664),f790(x13662,x13663,x13664)) % 166.45/166.24 [1367]~E(x13671,x13672)+E(f790(x13673,x13671,x13674),f790(x13673,x13672,x13674)) % 166.45/166.24 [1368]~E(x13681,x13682)+E(f790(x13683,x13684,x13681),f790(x13683,x13684,x13682)) % 166.45/166.24 [1369]~E(x13691,x13692)+E(f333(x13691,x13693,x13694,x13695),f333(x13692,x13693,x13694,x13695)) % 166.45/166.24 [1370]~E(x13701,x13702)+E(f333(x13703,x13701,x13704,x13705),f333(x13703,x13702,x13704,x13705)) % 166.45/166.24 [1371]~E(x13711,x13712)+E(f333(x13713,x13714,x13711,x13715),f333(x13713,x13714,x13712,x13715)) % 166.45/166.24 [1372]~E(x13721,x13722)+E(f333(x13723,x13724,x13725,x13721),f333(x13723,x13724,x13725,x13722)) % 166.45/166.24 [1373]~E(x13731,x13732)+E(f336(x13731),f336(x13732)) % 166.45/166.24 [1374]~E(x13741,x13742)+E(f487(x13741,x13743,x13744),f487(x13742,x13743,x13744)) % 166.45/166.24 [1375]~E(x13751,x13752)+E(f487(x13753,x13751,x13754),f487(x13753,x13752,x13754)) % 166.45/166.24 [1376]~E(x13761,x13762)+E(f487(x13763,x13764,x13761),f487(x13763,x13764,x13762)) % 166.45/166.24 [1377]~E(x13771,x13772)+E(f233(x13771,x13773,x13774,x13775),f233(x13772,x13773,x13774,x13775)) % 166.45/166.24 [1378]~E(x13781,x13782)+E(f233(x13783,x13781,x13784,x13785),f233(x13783,x13782,x13784,x13785)) % 166.45/166.24 [1379]~E(x13791,x13792)+E(f233(x13793,x13794,x13791,x13795),f233(x13793,x13794,x13792,x13795)) % 166.45/166.24 [1380]~E(x13801,x13802)+E(f233(x13803,x13804,x13805,x13801),f233(x13803,x13804,x13805,x13802)) % 166.45/166.24 [1381]~E(x13811,x13812)+E(f402(x13811,x13813,x13814),f402(x13812,x13813,x13814)) % 166.45/166.24 [1382]~E(x13821,x13822)+E(f402(x13823,x13821,x13824),f402(x13823,x13822,x13824)) % 166.45/166.24 [1383]~E(x13831,x13832)+E(f402(x13833,x13834,x13831),f402(x13833,x13834,x13832)) % 166.45/166.24 [1384]~E(x13841,x13842)+E(f386(x13841),f386(x13842)) % 166.45/166.24 [1385]~E(x13851,x13852)+E(f588(x13851,x13853,x13854),f588(x13852,x13853,x13854)) % 166.45/166.24 [1386]~E(x13861,x13862)+E(f588(x13863,x13861,x13864),f588(x13863,x13862,x13864)) % 166.45/166.24 [1387]~E(x13871,x13872)+E(f588(x13873,x13874,x13871),f588(x13873,x13874,x13872)) % 166.45/166.24 [1388]~E(x13881,x13882)+E(f438(x13881,x13883,x13884),f438(x13882,x13883,x13884)) % 166.45/166.24 [1389]~E(x13891,x13892)+E(f438(x13893,x13891,x13894),f438(x13893,x13892,x13894)) % 166.45/166.24 [1390]~E(x13901,x13902)+E(f438(x13903,x13904,x13901),f438(x13903,x13904,x13902)) % 166.45/166.24 [1391]~E(x13911,x13912)+E(f638(x13911,x13913,x13914,x13915,x13916,x13917,x13918),f638(x13912,x13913,x13914,x13915,x13916,x13917,x13918)) % 166.45/166.24 [1392]~E(x13921,x13922)+E(f638(x13923,x13921,x13924,x13925,x13926,x13927,x13928),f638(x13923,x13922,x13924,x13925,x13926,x13927,x13928)) % 166.45/166.24 [1393]~E(x13931,x13932)+E(f638(x13933,x13934,x13931,x13935,x13936,x13937,x13938),f638(x13933,x13934,x13932,x13935,x13936,x13937,x13938)) % 166.45/166.24 [1394]~E(x13941,x13942)+E(f638(x13943,x13944,x13945,x13941,x13946,x13947,x13948),f638(x13943,x13944,x13945,x13942,x13946,x13947,x13948)) % 166.45/166.24 [1395]~E(x13951,x13952)+E(f638(x13953,x13954,x13955,x13956,x13951,x13957,x13958),f638(x13953,x13954,x13955,x13956,x13952,x13957,x13958)) % 166.45/166.24 [1396]~E(x13961,x13962)+E(f638(x13963,x13964,x13965,x13966,x13967,x13961,x13968),f638(x13963,x13964,x13965,x13966,x13967,x13962,x13968)) % 166.45/166.24 [1397]~E(x13971,x13972)+E(f638(x13973,x13974,x13975,x13976,x13977,x13978,x13971),f638(x13973,x13974,x13975,x13976,x13977,x13978,x13972)) % 166.45/166.24 [1398]~E(x13981,x13982)+E(f535(x13981,x13983,x13984,x13985),f535(x13982,x13983,x13984,x13985)) % 166.45/166.24 [1399]~E(x13991,x13992)+E(f535(x13993,x13991,x13994,x13995),f535(x13993,x13992,x13994,x13995)) % 166.45/166.24 [1400]~E(x14001,x14002)+E(f535(x14003,x14004,x14001,x14005),f535(x14003,x14004,x14002,x14005)) % 166.45/166.24 [1401]~E(x14011,x14012)+E(f535(x14013,x14014,x14015,x14011),f535(x14013,x14014,x14015,x14012)) % 166.45/166.24 [1402]~E(x14021,x14022)+E(f870(x14021,x14023,x14024),f870(x14022,x14023,x14024)) % 166.45/166.24 [1403]~E(x14031,x14032)+E(f870(x14033,x14031,x14034),f870(x14033,x14032,x14034)) % 166.45/166.24 [1404]~E(x14041,x14042)+E(f870(x14043,x14044,x14041),f870(x14043,x14044,x14042)) % 166.45/166.24 [1405]~E(x14051,x14052)+E(f473(x14051,x14053,x14054,x14055,x14056),f473(x14052,x14053,x14054,x14055,x14056)) % 166.45/166.24 [1406]~E(x14061,x14062)+E(f473(x14063,x14061,x14064,x14065,x14066),f473(x14063,x14062,x14064,x14065,x14066)) % 166.45/166.24 [1407]~E(x14071,x14072)+E(f473(x14073,x14074,x14071,x14075,x14076),f473(x14073,x14074,x14072,x14075,x14076)) % 166.45/166.24 [1408]~E(x14081,x14082)+E(f473(x14083,x14084,x14085,x14081,x14086),f473(x14083,x14084,x14085,x14082,x14086)) % 166.45/166.24 [1409]~E(x14091,x14092)+E(f473(x14093,x14094,x14095,x14096,x14091),f473(x14093,x14094,x14095,x14096,x14092)) % 166.45/166.24 [1410]~E(x14101,x14102)+E(f440(x14101,x14103,x14104),f440(x14102,x14103,x14104)) % 166.45/166.24 [1411]~E(x14111,x14112)+E(f440(x14113,x14111,x14114),f440(x14113,x14112,x14114)) % 166.45/166.24 [1412]~E(x14121,x14122)+E(f440(x14123,x14124,x14121),f440(x14123,x14124,x14122)) % 166.45/166.24 [1413]~E(x14131,x14132)+E(f619(x14131,x14133,x14134,x14135),f619(x14132,x14133,x14134,x14135)) % 166.45/166.24 [1414]~E(x14141,x14142)+E(f619(x14143,x14141,x14144,x14145),f619(x14143,x14142,x14144,x14145)) % 166.45/166.24 [1415]~E(x14151,x14152)+E(f619(x14153,x14154,x14151,x14155),f619(x14153,x14154,x14152,x14155)) % 166.45/166.24 [1416]~E(x14161,x14162)+E(f619(x14163,x14164,x14165,x14161),f619(x14163,x14164,x14165,x14162)) % 166.45/166.24 [1417]~E(x14171,x14172)+E(f44(x14171),f44(x14172)) % 166.45/166.24 [1418]~E(x14181,x14182)+E(f138(x14181),f138(x14182)) % 166.45/166.24 [1419]~E(x14191,x14192)+E(f896(x14191,x14193),f896(x14192,x14193)) % 166.45/166.24 [1420]~E(x14201,x14202)+E(f896(x14203,x14201),f896(x14203,x14202)) % 166.45/166.24 [1421]~E(x14211,x14212)+E(f353(x14211),f353(x14212)) % 166.45/166.24 [1422]~E(x14221,x14222)+E(f270(x14221,x14223,x14224),f270(x14222,x14223,x14224)) % 166.45/166.24 [1423]~E(x14231,x14232)+E(f270(x14233,x14231,x14234),f270(x14233,x14232,x14234)) % 166.45/166.24 [1424]~E(x14241,x14242)+E(f270(x14243,x14244,x14241),f270(x14243,x14244,x14242)) % 166.45/166.24 [1425]~E(x14251,x14252)+E(f517(x14251,x14253,x14254,x14255,x14256,x14257,x14258),f517(x14252,x14253,x14254,x14255,x14256,x14257,x14258)) % 166.45/166.24 [1426]~E(x14261,x14262)+E(f517(x14263,x14261,x14264,x14265,x14266,x14267,x14268),f517(x14263,x14262,x14264,x14265,x14266,x14267,x14268)) % 166.45/166.24 [1427]~E(x14271,x14272)+E(f517(x14273,x14274,x14271,x14275,x14276,x14277,x14278),f517(x14273,x14274,x14272,x14275,x14276,x14277,x14278)) % 166.45/166.24 [1428]~E(x14281,x14282)+E(f517(x14283,x14284,x14285,x14281,x14286,x14287,x14288),f517(x14283,x14284,x14285,x14282,x14286,x14287,x14288)) % 166.45/166.24 [1429]~E(x14291,x14292)+E(f517(x14293,x14294,x14295,x14296,x14291,x14297,x14298),f517(x14293,x14294,x14295,x14296,x14292,x14297,x14298)) % 166.45/166.24 [1430]~E(x14301,x14302)+E(f517(x14303,x14304,x14305,x14306,x14307,x14301,x14308),f517(x14303,x14304,x14305,x14306,x14307,x14302,x14308)) % 166.45/166.24 [1431]~E(x14311,x14312)+E(f517(x14313,x14314,x14315,x14316,x14317,x14318,x14311),f517(x14313,x14314,x14315,x14316,x14317,x14318,x14312)) % 166.45/166.24 [1432]~E(x14321,x14322)+E(f895(x14321,x14323),f895(x14322,x14323)) % 166.45/166.24 [1433]~E(x14331,x14332)+E(f895(x14333,x14331),f895(x14333,x14332)) % 166.45/166.24 [1434]~E(x14341,x14342)+E(f446(x14341,x14343),f446(x14342,x14343)) % 166.45/166.24 [1435]~E(x14351,x14352)+E(f446(x14353,x14351),f446(x14353,x14352)) % 166.45/166.24 [1436]~E(x14361,x14362)+E(f642(x14361,x14363,x14364),f642(x14362,x14363,x14364)) % 166.45/166.24 [1437]~E(x14371,x14372)+E(f642(x14373,x14371,x14374),f642(x14373,x14372,x14374)) % 166.45/166.24 [1438]~E(x14381,x14382)+E(f642(x14383,x14384,x14381),f642(x14383,x14384,x14382)) % 166.45/166.24 [1439]~E(x14391,x14392)+E(f295(x14391,x14393,x14394),f295(x14392,x14393,x14394)) % 166.45/166.24 [1440]~E(x14401,x14402)+E(f295(x14403,x14401,x14404),f295(x14403,x14402,x14404)) % 166.45/166.24 [1441]~E(x14411,x14412)+E(f295(x14413,x14414,x14411),f295(x14413,x14414,x14412)) % 166.45/166.24 [1442]~E(x14421,x14422)+E(f782(x14421,x14423,x14424),f782(x14422,x14423,x14424)) % 166.45/166.24 [1443]~E(x14431,x14432)+E(f782(x14433,x14431,x14434),f782(x14433,x14432,x14434)) % 166.45/166.24 [1444]~E(x14441,x14442)+E(f782(x14443,x14444,x14441),f782(x14443,x14444,x14442)) % 166.45/166.24 [1445]~E(x14451,x14452)+E(f660(x14451,x14453,x14454),f660(x14452,x14453,x14454)) % 166.45/166.24 [1446]~E(x14461,x14462)+E(f660(x14463,x14461,x14464),f660(x14463,x14462,x14464)) % 166.45/166.24 [1447]~E(x14471,x14472)+E(f660(x14473,x14474,x14471),f660(x14473,x14474,x14472)) % 166.45/166.24 [1448]~E(x14481,x14482)+E(f622(x14481,x14483,x14484,x14485,x14486),f622(x14482,x14483,x14484,x14485,x14486)) % 166.45/166.24 [1449]~E(x14491,x14492)+E(f622(x14493,x14491,x14494,x14495,x14496),f622(x14493,x14492,x14494,x14495,x14496)) % 166.45/166.24 [1450]~E(x14501,x14502)+E(f622(x14503,x14504,x14501,x14505,x14506),f622(x14503,x14504,x14502,x14505,x14506)) % 166.45/166.24 [1451]~E(x14511,x14512)+E(f622(x14513,x14514,x14515,x14511,x14516),f622(x14513,x14514,x14515,x14512,x14516)) % 166.45/166.24 [1452]~E(x14521,x14522)+E(f622(x14523,x14524,x14525,x14526,x14521),f622(x14523,x14524,x14525,x14526,x14522)) % 166.45/166.24 [1453]~E(x14531,x14532)+E(f837(x14531,x14533,x14534,x14535,x14536,x14537),f837(x14532,x14533,x14534,x14535,x14536,x14537)) % 166.45/166.24 [1454]~E(x14541,x14542)+E(f837(x14543,x14541,x14544,x14545,x14546,x14547),f837(x14543,x14542,x14544,x14545,x14546,x14547)) % 166.45/166.24 [1455]~E(x14551,x14552)+E(f837(x14553,x14554,x14551,x14555,x14556,x14557),f837(x14553,x14554,x14552,x14555,x14556,x14557)) % 166.45/166.24 [1456]~E(x14561,x14562)+E(f837(x14563,x14564,x14565,x14561,x14566,x14567),f837(x14563,x14564,x14565,x14562,x14566,x14567)) % 166.45/166.24 [1457]~E(x14571,x14572)+E(f837(x14573,x14574,x14575,x14576,x14571,x14577),f837(x14573,x14574,x14575,x14576,x14572,x14577)) % 166.45/166.24 [1458]~E(x14581,x14582)+E(f837(x14583,x14584,x14585,x14586,x14587,x14581),f837(x14583,x14584,x14585,x14586,x14587,x14582)) % 166.45/166.24 [1459]~E(x14591,x14592)+E(f778(x14591,x14593,x14594),f778(x14592,x14593,x14594)) % 166.45/166.24 [1460]~E(x14601,x14602)+E(f778(x14603,x14601,x14604),f778(x14603,x14602,x14604)) % 166.45/166.24 [1461]~E(x14611,x14612)+E(f778(x14613,x14614,x14611),f778(x14613,x14614,x14612)) % 166.45/166.24 [1462]~E(x14621,x14622)+E(f496(x14621,x14623,x14624),f496(x14622,x14623,x14624)) % 166.45/166.24 [1463]~E(x14631,x14632)+E(f496(x14633,x14631,x14634),f496(x14633,x14632,x14634)) % 166.45/166.24 [1464]~E(x14641,x14642)+E(f496(x14643,x14644,x14641),f496(x14643,x14644,x14642)) % 166.45/166.24 [1465]~E(x14651,x14652)+E(f567(x14651,x14653),f567(x14652,x14653)) % 166.45/166.24 [1466]~E(x14661,x14662)+E(f567(x14663,x14661),f567(x14663,x14662)) % 166.45/166.24 [1467]~E(x14671,x14672)+E(f273(x14671,x14673),f273(x14672,x14673)) % 166.45/166.24 [1468]~E(x14681,x14682)+E(f273(x14683,x14681),f273(x14683,x14682)) % 166.45/166.24 [1469]~E(x14691,x14692)+E(f699(x14691,x14693),f699(x14692,x14693)) % 166.45/166.24 [1470]~E(x14701,x14702)+E(f699(x14703,x14701),f699(x14703,x14702)) % 166.45/166.24 [1471]~E(x14711,x14712)+E(f738(x14711,x14713,x14714),f738(x14712,x14713,x14714)) % 166.45/166.24 [1472]~E(x14721,x14722)+E(f738(x14723,x14721,x14724),f738(x14723,x14722,x14724)) % 166.45/166.24 [1473]~E(x14731,x14732)+E(f738(x14733,x14734,x14731),f738(x14733,x14734,x14732)) % 166.45/166.24 [1474]~E(x14741,x14742)+E(f250(x14741,x14743,x14744),f250(x14742,x14743,x14744)) % 166.45/166.24 [1475]~E(x14751,x14752)+E(f250(x14753,x14751,x14754),f250(x14753,x14752,x14754)) % 166.45/166.24 [1476]~E(x14761,x14762)+E(f250(x14763,x14764,x14761),f250(x14763,x14764,x14762)) % 166.45/166.24 [1477]~E(x14771,x14772)+E(f300(x14771,x14773,x14774),f300(x14772,x14773,x14774)) % 166.45/166.24 [1478]~E(x14781,x14782)+E(f300(x14783,x14781,x14784),f300(x14783,x14782,x14784)) % 166.45/166.24 [1479]~E(x14791,x14792)+E(f300(x14793,x14794,x14791),f300(x14793,x14794,x14792)) % 166.45/166.24 [1480]~E(x14801,x14802)+E(f826(x14801,x14803),f826(x14802,x14803)) % 166.45/166.24 [1481]~E(x14811,x14812)+E(f826(x14813,x14811),f826(x14813,x14812)) % 166.45/166.24 [1482]~E(x14821,x14822)+E(f126(x14821,x14823,x14824,x14825),f126(x14822,x14823,x14824,x14825)) % 166.45/166.24 [1483]~E(x14831,x14832)+E(f126(x14833,x14831,x14834,x14835),f126(x14833,x14832,x14834,x14835)) % 166.45/166.24 [1484]~E(x14841,x14842)+E(f126(x14843,x14844,x14841,x14845),f126(x14843,x14844,x14842,x14845)) % 166.45/166.24 [1485]~E(x14851,x14852)+E(f126(x14853,x14854,x14855,x14851),f126(x14853,x14854,x14855,x14852)) % 166.45/166.24 [1486]~E(x14861,x14862)+E(f193(x14861,x14863,x14864,x14865),f193(x14862,x14863,x14864,x14865)) % 166.45/166.24 [1487]~E(x14871,x14872)+E(f193(x14873,x14871,x14874,x14875),f193(x14873,x14872,x14874,x14875)) % 166.45/166.24 [1488]~E(x14881,x14882)+E(f193(x14883,x14884,x14881,x14885),f193(x14883,x14884,x14882,x14885)) % 166.45/166.24 [1489]~E(x14891,x14892)+E(f193(x14893,x14894,x14895,x14891),f193(x14893,x14894,x14895,x14892)) % 166.45/166.24 [1490]~E(x14901,x14902)+E(f275(x14901,x14903),f275(x14902,x14903)) % 166.45/166.24 [1491]~E(x14911,x14912)+E(f275(x14913,x14911),f275(x14913,x14912)) % 166.45/166.24 [1492]~E(x14921,x14922)+E(f597(x14921,x14923,x14924,x14925,x14926,x14927,x14928,x14929),f597(x14922,x14923,x14924,x14925,x14926,x14927,x14928,x14929)) % 166.45/166.24 [1493]~E(x14931,x14932)+E(f597(x14933,x14931,x14934,x14935,x14936,x14937,x14938,x14939),f597(x14933,x14932,x14934,x14935,x14936,x14937,x14938,x14939)) % 166.45/166.24 [1494]~E(x14941,x14942)+E(f597(x14943,x14944,x14941,x14945,x14946,x14947,x14948,x14949),f597(x14943,x14944,x14942,x14945,x14946,x14947,x14948,x14949)) % 166.45/166.24 [1495]~E(x14951,x14952)+E(f597(x14953,x14954,x14955,x14951,x14956,x14957,x14958,x14959),f597(x14953,x14954,x14955,x14952,x14956,x14957,x14958,x14959)) % 166.45/166.24 [1496]~E(x14961,x14962)+E(f597(x14963,x14964,x14965,x14966,x14961,x14967,x14968,x14969),f597(x14963,x14964,x14965,x14966,x14962,x14967,x14968,x14969)) % 166.45/166.24 [1497]~E(x14971,x14972)+E(f597(x14973,x14974,x14975,x14976,x14977,x14971,x14978,x14979),f597(x14973,x14974,x14975,x14976,x14977,x14972,x14978,x14979)) % 166.45/166.24 [1498]~E(x14981,x14982)+E(f597(x14983,x14984,x14985,x14986,x14987,x14988,x14981,x14989),f597(x14983,x14984,x14985,x14986,x14987,x14988,x14982,x14989)) % 166.45/166.24 [1499]~E(x14991,x14992)+E(f597(x14993,x14994,x14995,x14996,x14997,x14998,x14999,x14991),f597(x14993,x14994,x14995,x14996,x14997,x14998,x14999,x14992)) % 166.45/166.24 [1500]~E(x15001,x15002)+E(f472(x15001,x15003,x15004,x15005,x15006,x15007),f472(x15002,x15003,x15004,x15005,x15006,x15007)) % 166.45/166.24 [1501]~E(x15011,x15012)+E(f472(x15013,x15011,x15014,x15015,x15016,x15017),f472(x15013,x15012,x15014,x15015,x15016,x15017)) % 166.45/166.24 [1502]~E(x15021,x15022)+E(f472(x15023,x15024,x15021,x15025,x15026,x15027),f472(x15023,x15024,x15022,x15025,x15026,x15027)) % 166.45/166.24 [1503]~E(x15031,x15032)+E(f472(x15033,x15034,x15035,x15031,x15036,x15037),f472(x15033,x15034,x15035,x15032,x15036,x15037)) % 166.45/166.24 [1504]~E(x15041,x15042)+E(f472(x15043,x15044,x15045,x15046,x15041,x15047),f472(x15043,x15044,x15045,x15046,x15042,x15047)) % 166.45/166.24 [1505]~E(x15051,x15052)+E(f472(x15053,x15054,x15055,x15056,x15057,x15051),f472(x15053,x15054,x15055,x15056,x15057,x15052)) % 166.45/166.24 [1506]~E(x15061,x15062)+E(f730(x15061,x15063),f730(x15062,x15063)) % 166.45/166.24 [1507]~E(x15071,x15072)+E(f730(x15073,x15071),f730(x15073,x15072)) % 166.45/166.24 [1508]~E(x15081,x15082)+E(f772(x15081,x15083,x15084,x15085,x15086,x15087,x15088),f772(x15082,x15083,x15084,x15085,x15086,x15087,x15088)) % 166.45/166.24 [1509]~E(x15091,x15092)+E(f772(x15093,x15091,x15094,x15095,x15096,x15097,x15098),f772(x15093,x15092,x15094,x15095,x15096,x15097,x15098)) % 166.45/166.24 [1510]~E(x15101,x15102)+E(f772(x15103,x15104,x15101,x15105,x15106,x15107,x15108),f772(x15103,x15104,x15102,x15105,x15106,x15107,x15108)) % 166.45/166.24 [1511]~E(x15111,x15112)+E(f772(x15113,x15114,x15115,x15111,x15116,x15117,x15118),f772(x15113,x15114,x15115,x15112,x15116,x15117,x15118)) % 166.45/166.24 [1512]~E(x15121,x15122)+E(f772(x15123,x15124,x15125,x15126,x15121,x15127,x15128),f772(x15123,x15124,x15125,x15126,x15122,x15127,x15128)) % 166.45/166.24 [1513]~E(x15131,x15132)+E(f772(x15133,x15134,x15135,x15136,x15137,x15131,x15138),f772(x15133,x15134,x15135,x15136,x15137,x15132,x15138)) % 166.45/166.24 [1514]~E(x15141,x15142)+E(f772(x15143,x15144,x15145,x15146,x15147,x15148,x15141),f772(x15143,x15144,x15145,x15146,x15147,x15148,x15142)) % 166.45/166.24 [1515]~E(x15151,x15152)+E(f585(x15151,x15153,x15154,x15155,x15156,x15157,x15158,x15159),f585(x15152,x15153,x15154,x15155,x15156,x15157,x15158,x15159)) % 166.45/166.24 [1516]~E(x15161,x15162)+E(f585(x15163,x15161,x15164,x15165,x15166,x15167,x15168,x15169),f585(x15163,x15162,x15164,x15165,x15166,x15167,x15168,x15169)) % 166.45/166.24 [1517]~E(x15171,x15172)+E(f585(x15173,x15174,x15171,x15175,x15176,x15177,x15178,x15179),f585(x15173,x15174,x15172,x15175,x15176,x15177,x15178,x15179)) % 166.45/166.24 [1518]~E(x15181,x15182)+E(f585(x15183,x15184,x15185,x15181,x15186,x15187,x15188,x15189),f585(x15183,x15184,x15185,x15182,x15186,x15187,x15188,x15189)) % 166.45/166.24 [1519]~E(x15191,x15192)+E(f585(x15193,x15194,x15195,x15196,x15191,x15197,x15198,x15199),f585(x15193,x15194,x15195,x15196,x15192,x15197,x15198,x15199)) % 166.45/166.24 [1520]~E(x15201,x15202)+E(f585(x15203,x15204,x15205,x15206,x15207,x15201,x15208,x15209),f585(x15203,x15204,x15205,x15206,x15207,x15202,x15208,x15209)) % 166.45/166.24 [1521]~E(x15211,x15212)+E(f585(x15213,x15214,x15215,x15216,x15217,x15218,x15211,x15219),f585(x15213,x15214,x15215,x15216,x15217,x15218,x15212,x15219)) % 166.45/166.24 [1522]~E(x15221,x15222)+E(f585(x15223,x15224,x15225,x15226,x15227,x15228,x15229,x15221),f585(x15223,x15224,x15225,x15226,x15227,x15228,x15229,x15222)) % 166.45/166.24 [1523]~E(x15231,x15232)+E(f439(x15231,x15233,x15234),f439(x15232,x15233,x15234)) % 166.45/166.24 [1524]~E(x15241,x15242)+E(f439(x15243,x15241,x15244),f439(x15243,x15242,x15244)) % 166.45/166.24 [1525]~E(x15251,x15252)+E(f439(x15253,x15254,x15251),f439(x15253,x15254,x15252)) % 166.45/166.24 [1526]~E(x15261,x15262)+E(f669(x15261,x15263,x15264,x15265),f669(x15262,x15263,x15264,x15265)) % 166.45/166.24 [1527]~E(x15271,x15272)+E(f669(x15273,x15271,x15274,x15275),f669(x15273,x15272,x15274,x15275)) % 166.45/166.24 [1528]~E(x15281,x15282)+E(f669(x15283,x15284,x15281,x15285),f669(x15283,x15284,x15282,x15285)) % 166.45/166.24 [1529]~E(x15291,x15292)+E(f669(x15293,x15294,x15295,x15291),f669(x15293,x15294,x15295,x15292)) % 166.45/166.24 [1530]~E(x15301,x15302)+E(f674(x15301,x15303,x15304,x15305,x15306),f674(x15302,x15303,x15304,x15305,x15306)) % 166.45/166.24 [1531]~E(x15311,x15312)+E(f674(x15313,x15311,x15314,x15315,x15316),f674(x15313,x15312,x15314,x15315,x15316)) % 166.45/166.24 [1532]~E(x15321,x15322)+E(f674(x15323,x15324,x15321,x15325,x15326),f674(x15323,x15324,x15322,x15325,x15326)) % 166.45/166.24 [1533]~E(x15331,x15332)+E(f674(x15333,x15334,x15335,x15331,x15336),f674(x15333,x15334,x15335,x15332,x15336)) % 166.45/166.24 [1534]~E(x15341,x15342)+E(f674(x15343,x15344,x15345,x15346,x15341),f674(x15343,x15344,x15345,x15346,x15342)) % 166.45/166.24 [1535]~E(x15351,x15352)+E(f853(x15351,x15353,x15354),f853(x15352,x15353,x15354)) % 166.45/166.24 [1536]~E(x15361,x15362)+E(f853(x15363,x15361,x15364),f853(x15363,x15362,x15364)) % 166.45/166.24 [1537]~E(x15371,x15372)+E(f853(x15373,x15374,x15371),f853(x15373,x15374,x15372)) % 166.45/166.24 [1538]~E(x15381,x15382)+E(f212(x15381),f212(x15382)) % 166.45/166.24 [1539]~E(x15391,x15392)+E(f437(x15391,x15393,x15394,x15395),f437(x15392,x15393,x15394,x15395)) % 166.45/166.24 [1540]~E(x15401,x15402)+E(f437(x15403,x15401,x15404,x15405),f437(x15403,x15402,x15404,x15405)) % 166.45/166.24 [1541]~E(x15411,x15412)+E(f437(x15413,x15414,x15411,x15415),f437(x15413,x15414,x15412,x15415)) % 166.45/166.24 [1542]~E(x15421,x15422)+E(f437(x15423,x15424,x15425,x15421),f437(x15423,x15424,x15425,x15422)) % 166.45/166.24 [1543]~E(x15431,x15432)+E(f95(x15431,x15433,x15434),f95(x15432,x15433,x15434)) % 166.45/166.24 [1544]~E(x15441,x15442)+E(f95(x15443,x15441,x15444),f95(x15443,x15442,x15444)) % 166.45/166.24 [1545]~E(x15451,x15452)+E(f95(x15453,x15454,x15451),f95(x15453,x15454,x15452)) % 166.45/166.24 [1546]~E(x15461,x15462)+E(f618(x15461,x15463),f618(x15462,x15463)) % 166.45/166.24 [1547]~E(x15471,x15472)+E(f618(x15473,x15471),f618(x15473,x15472)) % 166.45/166.24 [1548]~E(x15481,x15482)+E(f677(x15481,x15483,x15484,x15485,x15486),f677(x15482,x15483,x15484,x15485,x15486)) % 166.45/166.24 [1549]~E(x15491,x15492)+E(f677(x15493,x15491,x15494,x15495,x15496),f677(x15493,x15492,x15494,x15495,x15496)) % 166.45/166.24 [1550]~E(x15501,x15502)+E(f677(x15503,x15504,x15501,x15505,x15506),f677(x15503,x15504,x15502,x15505,x15506)) % 166.45/166.24 [1551]~E(x15511,x15512)+E(f677(x15513,x15514,x15515,x15511,x15516),f677(x15513,x15514,x15515,x15512,x15516)) % 166.45/166.24 [1552]~E(x15521,x15522)+E(f677(x15523,x15524,x15525,x15526,x15521),f677(x15523,x15524,x15525,x15526,x15522)) % 166.45/166.24 [1553]~E(x15531,x15532)+E(f396(x15531,x15533,x15534,x15535,x15536),f396(x15532,x15533,x15534,x15535,x15536)) % 166.45/166.24 [1554]~E(x15541,x15542)+E(f396(x15543,x15541,x15544,x15545,x15546),f396(x15543,x15542,x15544,x15545,x15546)) % 166.45/166.24 [1555]~E(x15551,x15552)+E(f396(x15553,x15554,x15551,x15555,x15556),f396(x15553,x15554,x15552,x15555,x15556)) % 166.45/166.24 [1556]~E(x15561,x15562)+E(f396(x15563,x15564,x15565,x15561,x15566),f396(x15563,x15564,x15565,x15562,x15566)) % 166.45/166.24 [1557]~E(x15571,x15572)+E(f396(x15573,x15574,x15575,x15576,x15571),f396(x15573,x15574,x15575,x15576,x15572)) % 166.45/166.24 [1558]~E(x15581,x15582)+E(f578(x15581,x15583,x15584,x15585,x15586,x15587),f578(x15582,x15583,x15584,x15585,x15586,x15587)) % 166.45/166.24 [1559]~E(x15591,x15592)+E(f578(x15593,x15591,x15594,x15595,x15596,x15597),f578(x15593,x15592,x15594,x15595,x15596,x15597)) % 166.45/166.24 [1560]~E(x15601,x15602)+E(f578(x15603,x15604,x15601,x15605,x15606,x15607),f578(x15603,x15604,x15602,x15605,x15606,x15607)) % 166.45/166.24 [1561]~E(x15611,x15612)+E(f578(x15613,x15614,x15615,x15611,x15616,x15617),f578(x15613,x15614,x15615,x15612,x15616,x15617)) % 166.45/166.24 [1562]~E(x15621,x15622)+E(f578(x15623,x15624,x15625,x15626,x15621,x15627),f578(x15623,x15624,x15625,x15626,x15622,x15627)) % 166.45/166.24 [1563]~E(x15631,x15632)+E(f578(x15633,x15634,x15635,x15636,x15637,x15631),f578(x15633,x15634,x15635,x15636,x15637,x15632)) % 166.45/166.24 [1564]~E(x15641,x15642)+E(f862(x15641,x15643,x15644),f862(x15642,x15643,x15644)) % 166.45/166.24 [1565]~E(x15651,x15652)+E(f862(x15653,x15651,x15654),f862(x15653,x15652,x15654)) % 166.45/166.24 [1566]~E(x15661,x15662)+E(f862(x15663,x15664,x15661),f862(x15663,x15664,x15662)) % 166.45/166.24 [1567]~E(x15671,x15672)+E(f355(x15671,x15673,x15674,x15675),f355(x15672,x15673,x15674,x15675)) % 166.45/166.24 [1568]~E(x15681,x15682)+E(f355(x15683,x15681,x15684,x15685),f355(x15683,x15682,x15684,x15685)) % 166.45/166.24 [1569]~E(x15691,x15692)+E(f355(x15693,x15694,x15691,x15695),f355(x15693,x15694,x15692,x15695)) % 166.45/166.24 [1570]~E(x15701,x15702)+E(f355(x15703,x15704,x15705,x15701),f355(x15703,x15704,x15705,x15702)) % 166.45/166.24 [1571]~E(x15711,x15712)+E(f290(x15711,x15713),f290(x15712,x15713)) % 166.45/166.24 [1572]~E(x15721,x15722)+E(f290(x15723,x15721),f290(x15723,x15722)) % 166.45/166.24 [1573]~E(x15731,x15732)+E(f736(x15731,x15733,x15734,x15735),f736(x15732,x15733,x15734,x15735)) % 166.45/166.24 [1574]~E(x15741,x15742)+E(f736(x15743,x15741,x15744,x15745),f736(x15743,x15742,x15744,x15745)) % 166.45/166.24 [1575]~E(x15751,x15752)+E(f736(x15753,x15754,x15751,x15755),f736(x15753,x15754,x15752,x15755)) % 166.45/166.24 [1576]~E(x15761,x15762)+E(f736(x15763,x15764,x15765,x15761),f736(x15763,x15764,x15765,x15762)) % 166.45/166.24 [1577]~E(x15771,x15772)+E(f557(x15771,x15773,x15774,x15775,x15776,x15777,x15778,x15779),f557(x15772,x15773,x15774,x15775,x15776,x15777,x15778,x15779)) % 166.45/166.24 [1578]~E(x15781,x15782)+E(f557(x15783,x15781,x15784,x15785,x15786,x15787,x15788,x15789),f557(x15783,x15782,x15784,x15785,x15786,x15787,x15788,x15789)) % 166.45/166.24 [1579]~E(x15791,x15792)+E(f557(x15793,x15794,x15791,x15795,x15796,x15797,x15798,x15799),f557(x15793,x15794,x15792,x15795,x15796,x15797,x15798,x15799)) % 166.45/166.24 [1580]~E(x15801,x15802)+E(f557(x15803,x15804,x15805,x15801,x15806,x15807,x15808,x15809),f557(x15803,x15804,x15805,x15802,x15806,x15807,x15808,x15809)) % 166.45/166.24 [1581]~E(x15811,x15812)+E(f557(x15813,x15814,x15815,x15816,x15811,x15817,x15818,x15819),f557(x15813,x15814,x15815,x15816,x15812,x15817,x15818,x15819)) % 166.45/166.24 [1582]~E(x15821,x15822)+E(f557(x15823,x15824,x15825,x15826,x15827,x15821,x15828,x15829),f557(x15823,x15824,x15825,x15826,x15827,x15822,x15828,x15829)) % 166.45/166.24 [1583]~E(x15831,x15832)+E(f557(x15833,x15834,x15835,x15836,x15837,x15838,x15831,x15839),f557(x15833,x15834,x15835,x15836,x15837,x15838,x15832,x15839)) % 166.45/166.24 [1584]~E(x15841,x15842)+E(f557(x15843,x15844,x15845,x15846,x15847,x15848,x15849,x15841),f557(x15843,x15844,x15845,x15846,x15847,x15848,x15849,x15842)) % 166.45/166.24 [1585]~E(x15851,x15852)+E(f774(x15851,x15853,x15854,x15855,x15856,x15857,x15858),f774(x15852,x15853,x15854,x15855,x15856,x15857,x15858)) % 166.45/166.24 [1586]~E(x15861,x15862)+E(f774(x15863,x15861,x15864,x15865,x15866,x15867,x15868),f774(x15863,x15862,x15864,x15865,x15866,x15867,x15868)) % 166.45/166.24 [1587]~E(x15871,x15872)+E(f774(x15873,x15874,x15871,x15875,x15876,x15877,x15878),f774(x15873,x15874,x15872,x15875,x15876,x15877,x15878)) % 166.45/166.24 [1588]~E(x15881,x15882)+E(f774(x15883,x15884,x15885,x15881,x15886,x15887,x15888),f774(x15883,x15884,x15885,x15882,x15886,x15887,x15888)) % 166.45/166.24 [1589]~E(x15891,x15892)+E(f774(x15893,x15894,x15895,x15896,x15891,x15897,x15898),f774(x15893,x15894,x15895,x15896,x15892,x15897,x15898)) % 166.45/166.24 [1590]~E(x15901,x15902)+E(f774(x15903,x15904,x15905,x15906,x15907,x15901,x15908),f774(x15903,x15904,x15905,x15906,x15907,x15902,x15908)) % 166.45/166.24 [1591]~E(x15911,x15912)+E(f774(x15913,x15914,x15915,x15916,x15917,x15918,x15911),f774(x15913,x15914,x15915,x15916,x15917,x15918,x15912)) % 166.45/166.24 [1592]~E(x15921,x15922)+E(f236(x15921),f236(x15922)) % 166.45/166.24 [1593]~E(x15931,x15932)+E(f433(x15931,x15933,x15934,x15935,x15936),f433(x15932,x15933,x15934,x15935,x15936)) % 166.45/166.24 [1594]~E(x15941,x15942)+E(f433(x15943,x15941,x15944,x15945,x15946),f433(x15943,x15942,x15944,x15945,x15946)) % 166.45/166.24 [1595]~E(x15951,x15952)+E(f433(x15953,x15954,x15951,x15955,x15956),f433(x15953,x15954,x15952,x15955,x15956)) % 166.45/166.24 [1596]~E(x15961,x15962)+E(f433(x15963,x15964,x15965,x15961,x15966),f433(x15963,x15964,x15965,x15962,x15966)) % 166.45/166.24 [1597]~E(x15971,x15972)+E(f433(x15973,x15974,x15975,x15976,x15971),f433(x15973,x15974,x15975,x15976,x15972)) % 166.45/166.24 [1598]~E(x15981,x15982)+E(f200(x15981,x15983,x15984,x15985),f200(x15982,x15983,x15984,x15985)) % 166.45/166.24 [1599]~E(x15991,x15992)+E(f200(x15993,x15991,x15994,x15995),f200(x15993,x15992,x15994,x15995)) % 166.45/166.24 [1600]~E(x16001,x16002)+E(f200(x16003,x16004,x16001,x16005),f200(x16003,x16004,x16002,x16005)) % 166.45/166.24 [1601]~E(x16011,x16012)+E(f200(x16013,x16014,x16015,x16011),f200(x16013,x16014,x16015,x16012)) % 166.45/166.24 [1602]~E(x16021,x16022)+E(f541(x16021,x16023,x16024,x16025,x16026),f541(x16022,x16023,x16024,x16025,x16026)) % 166.45/166.24 [1603]~E(x16031,x16032)+E(f541(x16033,x16031,x16034,x16035,x16036),f541(x16033,x16032,x16034,x16035,x16036)) % 166.45/166.24 [1604]~E(x16041,x16042)+E(f541(x16043,x16044,x16041,x16045,x16046),f541(x16043,x16044,x16042,x16045,x16046)) % 166.45/166.24 [1605]~E(x16051,x16052)+E(f541(x16053,x16054,x16055,x16051,x16056),f541(x16053,x16054,x16055,x16052,x16056)) % 166.45/166.24 [1606]~E(x16061,x16062)+E(f541(x16063,x16064,x16065,x16066,x16061),f541(x16063,x16064,x16065,x16066,x16062)) % 166.45/166.24 [1607]~E(x16071,x16072)+E(f634(x16071,x16073,x16074,x16075,x16076),f634(x16072,x16073,x16074,x16075,x16076)) % 166.45/166.24 [1608]~E(x16081,x16082)+E(f634(x16083,x16081,x16084,x16085,x16086),f634(x16083,x16082,x16084,x16085,x16086)) % 166.45/166.24 [1609]~E(x16091,x16092)+E(f634(x16093,x16094,x16091,x16095,x16096),f634(x16093,x16094,x16092,x16095,x16096)) % 166.45/166.24 [1610]~E(x16101,x16102)+E(f634(x16103,x16104,x16105,x16101,x16106),f634(x16103,x16104,x16105,x16102,x16106)) % 166.45/166.24 [1611]~E(x16111,x16112)+E(f634(x16113,x16114,x16115,x16116,x16111),f634(x16113,x16114,x16115,x16116,x16112)) % 166.45/166.24 [1612]~E(x16121,x16122)+E(f424(x16121,x16123,x16124,x16125,x16126),f424(x16122,x16123,x16124,x16125,x16126)) % 166.45/166.24 [1613]~E(x16131,x16132)+E(f424(x16133,x16131,x16134,x16135,x16136),f424(x16133,x16132,x16134,x16135,x16136)) % 166.45/166.24 [1614]~E(x16141,x16142)+E(f424(x16143,x16144,x16141,x16145,x16146),f424(x16143,x16144,x16142,x16145,x16146)) % 166.45/166.24 [1615]~E(x16151,x16152)+E(f424(x16153,x16154,x16155,x16151,x16156),f424(x16153,x16154,x16155,x16152,x16156)) % 166.45/166.24 [1616]~E(x16161,x16162)+E(f424(x16163,x16164,x16165,x16166,x16161),f424(x16163,x16164,x16165,x16166,x16162)) % 166.45/166.24 [1617]~E(x16171,x16172)+E(f696(x16171,x16173,x16174,x16175),f696(x16172,x16173,x16174,x16175)) % 166.45/166.24 [1618]~E(x16181,x16182)+E(f696(x16183,x16181,x16184,x16185),f696(x16183,x16182,x16184,x16185)) % 166.45/166.24 [1619]~E(x16191,x16192)+E(f696(x16193,x16194,x16191,x16195),f696(x16193,x16194,x16192,x16195)) % 166.45/166.24 [1620]~E(x16201,x16202)+E(f696(x16203,x16204,x16205,x16201),f696(x16203,x16204,x16205,x16202)) % 166.45/166.24 [1621]~E(x16211,x16212)+E(f640(x16211,x16213,x16214),f640(x16212,x16213,x16214)) % 166.45/166.24 [1622]~E(x16221,x16222)+E(f640(x16223,x16221,x16224),f640(x16223,x16222,x16224)) % 166.45/166.24 [1623]~E(x16231,x16232)+E(f640(x16233,x16234,x16231),f640(x16233,x16234,x16232)) % 166.45/166.24 [1624]~E(x16241,x16242)+E(f401(x16241,x16243,x16244),f401(x16242,x16243,x16244)) % 166.45/166.24 [1625]~E(x16251,x16252)+E(f401(x16253,x16251,x16254),f401(x16253,x16252,x16254)) % 166.45/166.24 [1626]~E(x16261,x16262)+E(f401(x16263,x16264,x16261),f401(x16263,x16264,x16262)) % 166.45/166.24 [1627]~E(x16271,x16272)+E(f407(x16271,x16273,x16274),f407(x16272,x16273,x16274)) % 166.45/166.24 [1628]~E(x16281,x16282)+E(f407(x16283,x16281,x16284),f407(x16283,x16282,x16284)) % 166.45/166.24 [1629]~E(x16291,x16292)+E(f407(x16293,x16294,x16291),f407(x16293,x16294,x16292)) % 166.45/166.24 [1630]~E(x16301,x16302)+E(f546(x16301,x16303,x16304,x16305),f546(x16302,x16303,x16304,x16305)) % 166.45/166.24 [1631]~E(x16311,x16312)+E(f546(x16313,x16311,x16314,x16315),f546(x16313,x16312,x16314,x16315)) % 166.45/166.24 [1632]~E(x16321,x16322)+E(f546(x16323,x16324,x16321,x16325),f546(x16323,x16324,x16322,x16325)) % 166.45/166.24 [1633]~E(x16331,x16332)+E(f546(x16333,x16334,x16335,x16331),f546(x16333,x16334,x16335,x16332)) % 166.45/166.24 [1634]~E(x16341,x16342)+E(f430(x16341,x16343,x16344,x16345,x16346),f430(x16342,x16343,x16344,x16345,x16346)) % 166.45/166.24 [1635]~E(x16351,x16352)+E(f430(x16353,x16351,x16354,x16355,x16356),f430(x16353,x16352,x16354,x16355,x16356)) % 166.45/166.24 [1636]~E(x16361,x16362)+E(f430(x16363,x16364,x16361,x16365,x16366),f430(x16363,x16364,x16362,x16365,x16366)) % 166.45/166.24 [1637]~E(x16371,x16372)+E(f430(x16373,x16374,x16375,x16371,x16376),f430(x16373,x16374,x16375,x16372,x16376)) % 166.45/166.24 [1638]~E(x16381,x16382)+E(f430(x16383,x16384,x16385,x16386,x16381),f430(x16383,x16384,x16385,x16386,x16382)) % 166.45/166.24 [1639]~E(x16391,x16392)+E(f59(x16391),f59(x16392)) % 166.45/166.24 [1640]~E(x16401,x16402)+E(f404(x16401,x16403,x16404),f404(x16402,x16403,x16404)) % 166.45/166.24 [1641]~E(x16411,x16412)+E(f404(x16413,x16411,x16414),f404(x16413,x16412,x16414)) % 166.45/166.24 [1642]~E(x16421,x16422)+E(f404(x16423,x16424,x16421),f404(x16423,x16424,x16422)) % 166.45/166.24 [1643]~E(x16431,x16432)+E(f428(x16431,x16433,x16434,x16435,x16436),f428(x16432,x16433,x16434,x16435,x16436)) % 166.45/166.24 [1644]~E(x16441,x16442)+E(f428(x16443,x16441,x16444,x16445,x16446),f428(x16443,x16442,x16444,x16445,x16446)) % 166.45/166.24 [1645]~E(x16451,x16452)+E(f428(x16453,x16454,x16451,x16455,x16456),f428(x16453,x16454,x16452,x16455,x16456)) % 166.45/166.24 [1646]~E(x16461,x16462)+E(f428(x16463,x16464,x16465,x16461,x16466),f428(x16463,x16464,x16465,x16462,x16466)) % 166.45/166.24 [1647]~E(x16471,x16472)+E(f428(x16473,x16474,x16475,x16476,x16471),f428(x16473,x16474,x16475,x16476,x16472)) % 166.45/166.24 [1648]~E(x16481,x16482)+E(f659(x16481,x16483,x16484,x16485),f659(x16482,x16483,x16484,x16485)) % 166.45/166.24 [1649]~E(x16491,x16492)+E(f659(x16493,x16491,x16494,x16495),f659(x16493,x16492,x16494,x16495)) % 166.45/166.24 [1650]~E(x16501,x16502)+E(f659(x16503,x16504,x16501,x16505),f659(x16503,x16504,x16502,x16505)) % 166.45/166.24 [1651]~E(x16511,x16512)+E(f659(x16513,x16514,x16515,x16511),f659(x16513,x16514,x16515,x16512)) % 166.45/166.24 [1652]~E(x16521,x16522)+E(f863(x16521,x16523),f863(x16522,x16523)) % 166.45/166.24 [1653]~E(x16531,x16532)+E(f863(x16533,x16531),f863(x16533,x16532)) % 166.45/166.24 [1654]~E(x16541,x16542)+E(f515(x16541,x16543,x16544,x16545,x16546,x16547),f515(x16542,x16543,x16544,x16545,x16546,x16547)) % 166.45/166.24 [1655]~E(x16551,x16552)+E(f515(x16553,x16551,x16554,x16555,x16556,x16557),f515(x16553,x16552,x16554,x16555,x16556,x16557)) % 166.45/166.24 [1656]~E(x16561,x16562)+E(f515(x16563,x16564,x16561,x16565,x16566,x16567),f515(x16563,x16564,x16562,x16565,x16566,x16567)) % 166.45/166.24 [1657]~E(x16571,x16572)+E(f515(x16573,x16574,x16575,x16571,x16576,x16577),f515(x16573,x16574,x16575,x16572,x16576,x16577)) % 166.45/166.24 [1658]~E(x16581,x16582)+E(f515(x16583,x16584,x16585,x16586,x16581,x16587),f515(x16583,x16584,x16585,x16586,x16582,x16587)) % 166.45/166.24 [1659]~E(x16591,x16592)+E(f515(x16593,x16594,x16595,x16596,x16597,x16591),f515(x16593,x16594,x16595,x16596,x16597,x16592)) % 166.45/166.24 [1660]~E(x16601,x16602)+E(f616(x16601,x16603,x16604,x16605,x16606),f616(x16602,x16603,x16604,x16605,x16606)) % 166.45/166.24 [1661]~E(x16611,x16612)+E(f616(x16613,x16611,x16614,x16615,x16616),f616(x16613,x16612,x16614,x16615,x16616)) % 166.45/166.24 [1662]~E(x16621,x16622)+E(f616(x16623,x16624,x16621,x16625,x16626),f616(x16623,x16624,x16622,x16625,x16626)) % 166.45/166.24 [1663]~E(x16631,x16632)+E(f616(x16633,x16634,x16635,x16631,x16636),f616(x16633,x16634,x16635,x16632,x16636)) % 166.45/166.24 [1664]~E(x16641,x16642)+E(f616(x16643,x16644,x16645,x16646,x16641),f616(x16643,x16644,x16645,x16646,x16642)) % 166.45/166.24 [1665]~E(x16651,x16652)+E(f554(x16651,x16653,x16654,x16655,x16656,x16657,x16658,x16659),f554(x16652,x16653,x16654,x16655,x16656,x16657,x16658,x16659)) % 166.45/166.24 [1666]~E(x16661,x16662)+E(f554(x16663,x16661,x16664,x16665,x16666,x16667,x16668,x16669),f554(x16663,x16662,x16664,x16665,x16666,x16667,x16668,x16669)) % 166.45/166.24 [1667]~E(x16671,x16672)+E(f554(x16673,x16674,x16671,x16675,x16676,x16677,x16678,x16679),f554(x16673,x16674,x16672,x16675,x16676,x16677,x16678,x16679)) % 166.45/166.24 [1668]~E(x16681,x16682)+E(f554(x16683,x16684,x16685,x16681,x16686,x16687,x16688,x16689),f554(x16683,x16684,x16685,x16682,x16686,x16687,x16688,x16689)) % 166.45/166.24 [1669]~E(x16691,x16692)+E(f554(x16693,x16694,x16695,x16696,x16691,x16697,x16698,x16699),f554(x16693,x16694,x16695,x16696,x16692,x16697,x16698,x16699)) % 166.45/166.24 [1670]~E(x16701,x16702)+E(f554(x16703,x16704,x16705,x16706,x16707,x16701,x16708,x16709),f554(x16703,x16704,x16705,x16706,x16707,x16702,x16708,x16709)) % 166.45/166.24 [1671]~E(x16711,x16712)+E(f554(x16713,x16714,x16715,x16716,x16717,x16718,x16711,x16719),f554(x16713,x16714,x16715,x16716,x16717,x16718,x16712,x16719)) % 166.45/166.24 [1672]~E(x16721,x16722)+E(f554(x16723,x16724,x16725,x16726,x16727,x16728,x16729,x16721),f554(x16723,x16724,x16725,x16726,x16727,x16728,x16729,x16722)) % 166.45/166.24 [1673]~E(x16731,x16732)+E(f702(x16731,x16733,x16734,x16735,x16736),f702(x16732,x16733,x16734,x16735,x16736)) % 166.45/166.24 [1674]~E(x16741,x16742)+E(f702(x16743,x16741,x16744,x16745,x16746),f702(x16743,x16742,x16744,x16745,x16746)) % 166.45/166.24 [1675]~E(x16751,x16752)+E(f702(x16753,x16754,x16751,x16755,x16756),f702(x16753,x16754,x16752,x16755,x16756)) % 166.45/166.24 [1676]~E(x16761,x16762)+E(f702(x16763,x16764,x16765,x16761,x16766),f702(x16763,x16764,x16765,x16762,x16766)) % 166.45/166.24 [1677]~E(x16771,x16772)+E(f702(x16773,x16774,x16775,x16776,x16771),f702(x16773,x16774,x16775,x16776,x16772)) % 166.45/166.24 [1678]~E(x16781,x16782)+E(f149(x16781,x16783),f149(x16782,x16783)) % 166.45/166.24 [1679]~E(x16791,x16792)+E(f149(x16793,x16791),f149(x16793,x16792)) % 166.45/166.24 [1680]~E(x16801,x16802)+E(f608(x16801,x16803,x16804,x16805,x16806),f608(x16802,x16803,x16804,x16805,x16806)) % 166.45/166.24 [1681]~E(x16811,x16812)+E(f608(x16813,x16811,x16814,x16815,x16816),f608(x16813,x16812,x16814,x16815,x16816)) % 166.45/166.24 [1682]~E(x16821,x16822)+E(f608(x16823,x16824,x16821,x16825,x16826),f608(x16823,x16824,x16822,x16825,x16826)) % 166.45/166.24 [1683]~E(x16831,x16832)+E(f608(x16833,x16834,x16835,x16831,x16836),f608(x16833,x16834,x16835,x16832,x16836)) % 166.45/166.24 [1684]~E(x16841,x16842)+E(f608(x16843,x16844,x16845,x16846,x16841),f608(x16843,x16844,x16845,x16846,x16842)) % 166.45/166.24 [1685]~E(x16851,x16852)+E(f485(x16851),f485(x16852)) % 166.45/166.24 [1686]~E(x16861,x16862)+E(f584(x16861,x16863,x16864,x16865,x16866,x16867),f584(x16862,x16863,x16864,x16865,x16866,x16867)) % 166.45/166.24 [1687]~E(x16871,x16872)+E(f584(x16873,x16871,x16874,x16875,x16876,x16877),f584(x16873,x16872,x16874,x16875,x16876,x16877)) % 166.45/166.24 [1688]~E(x16881,x16882)+E(f584(x16883,x16884,x16881,x16885,x16886,x16887),f584(x16883,x16884,x16882,x16885,x16886,x16887)) % 166.45/166.24 [1689]~E(x16891,x16892)+E(f584(x16893,x16894,x16895,x16891,x16896,x16897),f584(x16893,x16894,x16895,x16892,x16896,x16897)) % 166.45/166.24 [1690]~E(x16901,x16902)+E(f584(x16903,x16904,x16905,x16906,x16901,x16907),f584(x16903,x16904,x16905,x16906,x16902,x16907)) % 166.45/166.24 [1691]~E(x16911,x16912)+E(f584(x16913,x16914,x16915,x16916,x16917,x16911),f584(x16913,x16914,x16915,x16916,x16917,x16912)) % 166.45/166.24 [1692]~E(x16921,x16922)+E(f887(x16921,x16923,x16924,x16925),f887(x16922,x16923,x16924,x16925)) % 166.45/166.24 [1693]~E(x16931,x16932)+E(f887(x16933,x16931,x16934,x16935),f887(x16933,x16932,x16934,x16935)) % 166.45/166.24 [1694]~E(x16941,x16942)+E(f887(x16943,x16944,x16941,x16945),f887(x16943,x16944,x16942,x16945)) % 166.45/166.24 [1695]~E(x16951,x16952)+E(f887(x16953,x16954,x16955,x16951),f887(x16953,x16954,x16955,x16952)) % 166.45/166.24 [1696]~E(x16961,x16962)+E(f680(x16961,x16963,x16964),f680(x16962,x16963,x16964)) % 166.45/166.24 [1697]~E(x16971,x16972)+E(f680(x16973,x16971,x16974),f680(x16973,x16972,x16974)) % 166.45/166.24 [1698]~E(x16981,x16982)+E(f680(x16983,x16984,x16981),f680(x16983,x16984,x16982)) % 166.45/166.24 [1699]~E(x16991,x16992)+E(f442(x16991,x16993),f442(x16992,x16993)) % 166.45/166.24 [1700]~E(x17001,x17002)+E(f442(x17003,x17001),f442(x17003,x17002)) % 166.45/166.24 [1701]~E(x17011,x17012)+E(f362(x17011,x17013,x17014),f362(x17012,x17013,x17014)) % 166.45/166.24 [1702]~E(x17021,x17022)+E(f362(x17023,x17021,x17024),f362(x17023,x17022,x17024)) % 166.45/166.24 [1703]~E(x17031,x17032)+E(f362(x17033,x17034,x17031),f362(x17033,x17034,x17032)) % 166.45/166.24 [1704]~E(x17041,x17042)+E(f479(x17041,x17043,x17044),f479(x17042,x17043,x17044)) % 166.45/166.24 [1705]~E(x17051,x17052)+E(f479(x17053,x17051,x17054),f479(x17053,x17052,x17054)) % 166.45/166.24 [1706]~E(x17061,x17062)+E(f479(x17063,x17064,x17061),f479(x17063,x17064,x17062)) % 166.45/166.24 [1707]~E(x17071,x17072)+E(f528(x17071,x17073,x17074),f528(x17072,x17073,x17074)) % 166.45/166.24 [1708]~E(x17081,x17082)+E(f528(x17083,x17081,x17084),f528(x17083,x17082,x17084)) % 166.45/166.24 [1709]~E(x17091,x17092)+E(f528(x17093,x17094,x17091),f528(x17093,x17094,x17092)) % 166.45/166.24 [1710]~E(x17101,x17102)+E(f626(x17101,x17103,x17104,x17105,x17106),f626(x17102,x17103,x17104,x17105,x17106)) % 166.45/166.24 [1711]~E(x17111,x17112)+E(f626(x17113,x17111,x17114,x17115,x17116),f626(x17113,x17112,x17114,x17115,x17116)) % 166.45/166.24 [1712]~E(x17121,x17122)+E(f626(x17123,x17124,x17121,x17125,x17126),f626(x17123,x17124,x17122,x17125,x17126)) % 166.45/166.24 [1713]~E(x17131,x17132)+E(f626(x17133,x17134,x17135,x17131,x17136),f626(x17133,x17134,x17135,x17132,x17136)) % 166.45/166.24 [1714]~E(x17141,x17142)+E(f626(x17143,x17144,x17145,x17146,x17141),f626(x17143,x17144,x17145,x17146,x17142)) % 166.45/166.24 [1715]~E(x17151,x17152)+E(f860(x17151,x17153,x17154,x17155,x17156),f860(x17152,x17153,x17154,x17155,x17156)) % 166.45/166.24 [1716]~E(x17161,x17162)+E(f860(x17163,x17161,x17164,x17165,x17166),f860(x17163,x17162,x17164,x17165,x17166)) % 166.45/166.24 [1717]~E(x17171,x17172)+E(f860(x17173,x17174,x17171,x17175,x17176),f860(x17173,x17174,x17172,x17175,x17176)) % 166.45/166.24 [1718]~E(x17181,x17182)+E(f860(x17183,x17184,x17185,x17181,x17186),f860(x17183,x17184,x17185,x17182,x17186)) % 166.45/166.24 [1719]~E(x17191,x17192)+E(f860(x17193,x17194,x17195,x17196,x17191),f860(x17193,x17194,x17195,x17196,x17192)) % 166.45/166.24 [1720]~E(x17201,x17202)+E(f61(x17201,x17203,x17204,x17205),f61(x17202,x17203,x17204,x17205)) % 166.45/166.24 [1721]~E(x17211,x17212)+E(f61(x17213,x17211,x17214,x17215),f61(x17213,x17212,x17214,x17215)) % 166.45/166.24 [1722]~E(x17221,x17222)+E(f61(x17223,x17224,x17221,x17225),f61(x17223,x17224,x17222,x17225)) % 166.45/166.24 [1723]~E(x17231,x17232)+E(f61(x17233,x17234,x17235,x17231),f61(x17233,x17234,x17235,x17232)) % 166.45/166.24 [1724]~E(x17241,x17242)+E(f710(x17241,x17243,x17244,x17245,x17246),f710(x17242,x17243,x17244,x17245,x17246)) % 166.45/166.24 [1725]~E(x17251,x17252)+E(f710(x17253,x17251,x17254,x17255,x17256),f710(x17253,x17252,x17254,x17255,x17256)) % 166.45/166.24 [1726]~E(x17261,x17262)+E(f710(x17263,x17264,x17261,x17265,x17266),f710(x17263,x17264,x17262,x17265,x17266)) % 166.45/166.24 [1727]~E(x17271,x17272)+E(f710(x17273,x17274,x17275,x17271,x17276),f710(x17273,x17274,x17275,x17272,x17276)) % 166.45/166.24 [1728]~E(x17281,x17282)+E(f710(x17283,x17284,x17285,x17286,x17281),f710(x17283,x17284,x17285,x17286,x17282)) % 166.45/166.24 [1729]~E(x17291,x17292)+E(f159(x17291,x17293,x17294,x17295),f159(x17292,x17293,x17294,x17295)) % 166.45/166.24 [1730]~E(x17301,x17302)+E(f159(x17303,x17301,x17304,x17305),f159(x17303,x17302,x17304,x17305)) % 166.45/166.24 [1731]~E(x17311,x17312)+E(f159(x17313,x17314,x17311,x17315),f159(x17313,x17314,x17312,x17315)) % 166.45/166.24 [1732]~E(x17321,x17322)+E(f159(x17323,x17324,x17325,x17321),f159(x17323,x17324,x17325,x17322)) % 166.45/166.24 [1733]~E(x17331,x17332)+E(f880(x17331,x17333,x17334),f880(x17332,x17333,x17334)) % 166.45/166.24 [1734]~E(x17341,x17342)+E(f880(x17343,x17341,x17344),f880(x17343,x17342,x17344)) % 166.45/166.24 [1735]~E(x17351,x17352)+E(f880(x17353,x17354,x17351),f880(x17353,x17354,x17352)) % 166.45/166.24 [1736]~E(x17361,x17362)+E(f775(x17361,x17363,x17364),f775(x17362,x17363,x17364)) % 166.45/166.24 [1737]~E(x17371,x17372)+E(f775(x17373,x17371,x17374),f775(x17373,x17372,x17374)) % 166.45/166.24 [1738]~E(x17381,x17382)+E(f775(x17383,x17384,x17381),f775(x17383,x17384,x17382)) % 166.45/166.24 [1739]~E(x17391,x17392)+E(f559(x17391),f559(x17392)) % 166.45/166.24 [1740]~E(x17401,x17402)+E(f731(x17401,x17403),f731(x17402,x17403)) % 166.45/166.24 [1741]~E(x17411,x17412)+E(f731(x17413,x17411),f731(x17413,x17412)) % 166.45/166.24 [1742]~E(x17421,x17422)+E(f393(x17421,x17423,x17424),f393(x17422,x17423,x17424)) % 166.45/166.24 [1743]~E(x17431,x17432)+E(f393(x17433,x17431,x17434),f393(x17433,x17432,x17434)) % 166.45/166.24 [1744]~E(x17441,x17442)+E(f393(x17443,x17444,x17441),f393(x17443,x17444,x17442)) % 166.45/166.24 [1745]~E(x17451,x17452)+E(f187(x17451,x17453,x17454),f187(x17452,x17453,x17454)) % 166.45/166.24 [1746]~E(x17461,x17462)+E(f187(x17463,x17461,x17464),f187(x17463,x17462,x17464)) % 166.45/166.24 [1747]~E(x17471,x17472)+E(f187(x17473,x17474,x17471),f187(x17473,x17474,x17472)) % 166.45/166.24 [1748]~E(x17481,x17482)+E(f497(x17481,x17483,x17484),f497(x17482,x17483,x17484)) % 166.45/166.24 [1749]~E(x17491,x17492)+E(f497(x17493,x17491,x17494),f497(x17493,x17492,x17494)) % 166.45/166.24 [1750]~E(x17501,x17502)+E(f497(x17503,x17504,x17501),f497(x17503,x17504,x17502)) % 166.45/166.24 [1751]~E(x17511,x17512)+E(f603(x17511,x17513,x17514),f603(x17512,x17513,x17514)) % 166.45/166.24 [1752]~E(x17521,x17522)+E(f603(x17523,x17521,x17524),f603(x17523,x17522,x17524)) % 166.45/166.24 [1753]~E(x17531,x17532)+E(f603(x17533,x17534,x17531),f603(x17533,x17534,x17532)) % 166.45/166.24 [1754]~E(x17541,x17542)+E(f720(x17541,x17543),f720(x17542,x17543)) % 166.45/166.24 [1755]~E(x17551,x17552)+E(f720(x17553,x17551),f720(x17553,x17552)) % 166.45/166.24 [1756]~E(x17561,x17562)+E(f814(x17561,x17563),f814(x17562,x17563)) % 166.45/166.24 [1757]~E(x17571,x17572)+E(f814(x17573,x17571),f814(x17573,x17572)) % 166.45/166.24 [1758]~E(x17581,x17582)+E(f75(x17581,x17583),f75(x17582,x17583)) % 166.45/166.24 [1759]~E(x17591,x17592)+E(f75(x17593,x17591),f75(x17593,x17592)) % 166.45/166.24 [1760]~E(x17601,x17602)+E(f882(x17601,x17603,x17604,x17605,x17606),f882(x17602,x17603,x17604,x17605,x17606)) % 166.45/166.24 [1761]~E(x17611,x17612)+E(f882(x17613,x17611,x17614,x17615,x17616),f882(x17613,x17612,x17614,x17615,x17616)) % 166.45/166.24 [1762]~E(x17621,x17622)+E(f882(x17623,x17624,x17621,x17625,x17626),f882(x17623,x17624,x17622,x17625,x17626)) % 166.45/166.24 [1763]~E(x17631,x17632)+E(f882(x17633,x17634,x17635,x17631,x17636),f882(x17633,x17634,x17635,x17632,x17636)) % 166.45/166.24 [1764]~E(x17641,x17642)+E(f882(x17643,x17644,x17645,x17646,x17641),f882(x17643,x17644,x17645,x17646,x17642)) % 166.45/166.24 [1765]~E(x17651,x17652)+E(f359(x17651,x17653,x17654,x17655),f359(x17652,x17653,x17654,x17655)) % 166.45/166.24 [1766]~E(x17661,x17662)+E(f359(x17663,x17661,x17664,x17665),f359(x17663,x17662,x17664,x17665)) % 166.45/166.24 [1767]~E(x17671,x17672)+E(f359(x17673,x17674,x17671,x17675),f359(x17673,x17674,x17672,x17675)) % 166.45/166.24 [1768]~E(x17681,x17682)+E(f359(x17683,x17684,x17685,x17681),f359(x17683,x17684,x17685,x17682)) % 166.45/166.24 [1769]~E(x17691,x17692)+E(f749(x17691,x17693,x17694,x17695),f749(x17692,x17693,x17694,x17695)) % 166.45/166.24 [1770]~E(x17701,x17702)+E(f749(x17703,x17701,x17704,x17705),f749(x17703,x17702,x17704,x17705)) % 166.45/166.24 [1771]~E(x17711,x17712)+E(f749(x17713,x17714,x17711,x17715),f749(x17713,x17714,x17712,x17715)) % 166.45/166.24 [1772]~E(x17721,x17722)+E(f749(x17723,x17724,x17725,x17721),f749(x17723,x17724,x17725,x17722)) % 166.45/166.24 [1773]~E(x17731,x17732)+E(f281(x17731),f281(x17732)) % 166.45/166.24 [1774]~E(x17741,x17742)+E(f708(x17741,x17743,x17744,x17745),f708(x17742,x17743,x17744,x17745)) % 166.45/166.24 [1775]~E(x17751,x17752)+E(f708(x17753,x17751,x17754,x17755),f708(x17753,x17752,x17754,x17755)) % 166.45/166.24 [1776]~E(x17761,x17762)+E(f708(x17763,x17764,x17761,x17765),f708(x17763,x17764,x17762,x17765)) % 166.45/166.24 [1777]~E(x17771,x17772)+E(f708(x17773,x17774,x17775,x17771),f708(x17773,x17774,x17775,x17772)) % 166.45/166.24 [1778]~E(x17781,x17782)+E(f323(x17781,x17783,x17784),f323(x17782,x17783,x17784)) % 166.45/166.24 [1779]~E(x17791,x17792)+E(f323(x17793,x17791,x17794),f323(x17793,x17792,x17794)) % 166.45/166.24 [1780]~E(x17801,x17802)+E(f323(x17803,x17804,x17801),f323(x17803,x17804,x17802)) % 166.45/166.24 [1781]~E(x17811,x17812)+E(f215(x17811,x17813,x17814,x17815,x17816,x17817,x17818),f215(x17812,x17813,x17814,x17815,x17816,x17817,x17818)) % 166.45/166.24 [1782]~E(x17821,x17822)+E(f215(x17823,x17821,x17824,x17825,x17826,x17827,x17828),f215(x17823,x17822,x17824,x17825,x17826,x17827,x17828)) % 166.45/166.24 [1783]~E(x17831,x17832)+E(f215(x17833,x17834,x17831,x17835,x17836,x17837,x17838),f215(x17833,x17834,x17832,x17835,x17836,x17837,x17838)) % 166.45/166.24 [1784]~E(x17841,x17842)+E(f215(x17843,x17844,x17845,x17841,x17846,x17847,x17848),f215(x17843,x17844,x17845,x17842,x17846,x17847,x17848)) % 166.45/166.24 [1785]~E(x17851,x17852)+E(f215(x17853,x17854,x17855,x17856,x17851,x17857,x17858),f215(x17853,x17854,x17855,x17856,x17852,x17857,x17858)) % 166.45/166.24 [1786]~E(x17861,x17862)+E(f215(x17863,x17864,x17865,x17866,x17867,x17861,x17868),f215(x17863,x17864,x17865,x17866,x17867,x17862,x17868)) % 166.45/166.24 [1787]~E(x17871,x17872)+E(f215(x17873,x17874,x17875,x17876,x17877,x17878,x17871),f215(x17873,x17874,x17875,x17876,x17877,x17878,x17872)) % 166.45/166.24 [1788]~E(x17881,x17882)+E(f758(x17881,x17883,x17884,x17885,x17886,x17887,x17888,x17889),f758(x17882,x17883,x17884,x17885,x17886,x17887,x17888,x17889)) % 166.45/166.24 [1789]~E(x17891,x17892)+E(f758(x17893,x17891,x17894,x17895,x17896,x17897,x17898,x17899),f758(x17893,x17892,x17894,x17895,x17896,x17897,x17898,x17899)) % 166.45/166.24 [1790]~E(x17901,x17902)+E(f758(x17903,x17904,x17901,x17905,x17906,x17907,x17908,x17909),f758(x17903,x17904,x17902,x17905,x17906,x17907,x17908,x17909)) % 166.45/166.24 [1791]~E(x17911,x17912)+E(f758(x17913,x17914,x17915,x17911,x17916,x17917,x17918,x17919),f758(x17913,x17914,x17915,x17912,x17916,x17917,x17918,x17919)) % 166.45/166.24 [1792]~E(x17921,x17922)+E(f758(x17923,x17924,x17925,x17926,x17921,x17927,x17928,x17929),f758(x17923,x17924,x17925,x17926,x17922,x17927,x17928,x17929)) % 166.45/166.24 [1793]~E(x17931,x17932)+E(f758(x17933,x17934,x17935,x17936,x17937,x17931,x17938,x17939),f758(x17933,x17934,x17935,x17936,x17937,x17932,x17938,x17939)) % 166.45/166.24 [1794]~E(x17941,x17942)+E(f758(x17943,x17944,x17945,x17946,x17947,x17948,x17941,x17949),f758(x17943,x17944,x17945,x17946,x17947,x17948,x17942,x17949)) % 166.45/166.24 [1795]~E(x17951,x17952)+E(f758(x17953,x17954,x17955,x17956,x17957,x17958,x17959,x17951),f758(x17953,x17954,x17955,x17956,x17957,x17958,x17959,x17952)) % 166.45/166.24 [1796]~E(x17961,x17962)+E(f297(x17961,x17963,x17964),f297(x17962,x17963,x17964)) % 166.45/166.24 [1797]~E(x17971,x17972)+E(f297(x17973,x17971,x17974),f297(x17973,x17972,x17974)) % 166.45/166.24 [1798]~E(x17981,x17982)+E(f297(x17983,x17984,x17981),f297(x17983,x17984,x17982)) % 166.45/166.24 [1799]~E(x17991,x17992)+E(f780(x17991,x17993,x17994),f780(x17992,x17993,x17994)) % 166.45/166.24 [1800]~E(x18001,x18002)+E(f780(x18003,x18001,x18004),f780(x18003,x18002,x18004)) % 166.45/166.24 [1801]~E(x18011,x18012)+E(f780(x18013,x18014,x18011),f780(x18013,x18014,x18012)) % 166.45/166.24 [1802]~E(x18021,x18022)+E(f198(x18021,x18023),f198(x18022,x18023)) % 166.45/166.24 [1803]~E(x18031,x18032)+E(f198(x18033,x18031),f198(x18033,x18032)) % 166.45/166.24 [1804]~E(x18041,x18042)+E(f563(x18041,x18043,x18044),f563(x18042,x18043,x18044)) % 166.45/166.24 [1805]~E(x18051,x18052)+E(f563(x18053,x18051,x18054),f563(x18053,x18052,x18054)) % 166.45/166.24 [1806]~E(x18061,x18062)+E(f563(x18063,x18064,x18061),f563(x18063,x18064,x18062)) % 166.45/166.24 [1807]~E(x18071,x18072)+E(f357(x18071,x18073,x18074,x18075),f357(x18072,x18073,x18074,x18075)) % 166.45/166.24 [1808]~E(x18081,x18082)+E(f357(x18083,x18081,x18084,x18085),f357(x18083,x18082,x18084,x18085)) % 166.45/166.24 [1809]~E(x18091,x18092)+E(f357(x18093,x18094,x18091,x18095),f357(x18093,x18094,x18092,x18095)) % 166.45/166.24 [1810]~E(x18101,x18102)+E(f357(x18103,x18104,x18105,x18101),f357(x18103,x18104,x18105,x18102)) % 166.45/166.24 [1811]~E(x18111,x18112)+E(f581(x18111,x18113,x18114,x18115),f581(x18112,x18113,x18114,x18115)) % 166.45/166.24 [1812]~E(x18121,x18122)+E(f581(x18123,x18121,x18124,x18125),f581(x18123,x18122,x18124,x18125)) % 166.45/166.24 [1813]~E(x18131,x18132)+E(f581(x18133,x18134,x18131,x18135),f581(x18133,x18134,x18132,x18135)) % 166.45/166.24 [1814]~E(x18141,x18142)+E(f581(x18143,x18144,x18145,x18141),f581(x18143,x18144,x18145,x18142)) % 166.45/166.24 [1815]~E(x18151,x18152)+E(f346(x18151,x18153),f346(x18152,x18153)) % 166.45/166.24 [1816]~E(x18161,x18162)+E(f346(x18163,x18161),f346(x18163,x18162)) % 166.45/166.24 [1817]~E(x18171,x18172)+E(f481(x18171,x18173,x18174,x18175,x18176),f481(x18172,x18173,x18174,x18175,x18176)) % 166.45/166.24 [1818]~E(x18181,x18182)+E(f481(x18183,x18181,x18184,x18185,x18186),f481(x18183,x18182,x18184,x18185,x18186)) % 166.45/166.24 [1819]~E(x18191,x18192)+E(f481(x18193,x18194,x18191,x18195,x18196),f481(x18193,x18194,x18192,x18195,x18196)) % 166.45/166.24 [1820]~E(x18201,x18202)+E(f481(x18203,x18204,x18205,x18201,x18206),f481(x18203,x18204,x18205,x18202,x18206)) % 166.45/166.24 [1821]~E(x18211,x18212)+E(f481(x18213,x18214,x18215,x18216,x18211),f481(x18213,x18214,x18215,x18216,x18212)) % 166.45/166.24 [1822]~E(x18221,x18222)+E(f474(x18221,x18223,x18224),f474(x18222,x18223,x18224)) % 166.45/166.24 [1823]~E(x18231,x18232)+E(f474(x18233,x18231,x18234),f474(x18233,x18232,x18234)) % 166.45/166.24 [1824]~E(x18241,x18242)+E(f474(x18243,x18244,x18241),f474(x18243,x18244,x18242)) % 166.45/166.24 [1825]~E(x18251,x18252)+E(f784(x18251,x18253,x18254),f784(x18252,x18253,x18254)) % 166.45/166.24 [1826]~E(x18261,x18262)+E(f784(x18263,x18261,x18264),f784(x18263,x18262,x18264)) % 166.45/166.24 [1827]~E(x18271,x18272)+E(f784(x18273,x18274,x18271),f784(x18273,x18274,x18272)) % 166.45/166.24 [1828]~E(x18281,x18282)+E(f804(x18281,x18283),f804(x18282,x18283)) % 166.45/166.24 [1829]~E(x18291,x18292)+E(f804(x18293,x18291),f804(x18293,x18292)) % 166.45/166.24 [1830]~E(x18301,x18302)+E(f724(x18301,x18303,x18304,x18305),f724(x18302,x18303,x18304,x18305)) % 166.45/166.24 [1831]~E(x18311,x18312)+E(f724(x18313,x18311,x18314,x18315),f724(x18313,x18312,x18314,x18315)) % 166.45/166.24 [1832]~E(x18321,x18322)+E(f724(x18323,x18324,x18321,x18325),f724(x18323,x18324,x18322,x18325)) % 166.45/166.24 [1833]~E(x18331,x18332)+E(f724(x18333,x18334,x18335,x18331),f724(x18333,x18334,x18335,x18332)) % 166.45/166.24 [1834]~E(x18341,x18342)+E(f46(x18341),f46(x18342)) % 166.45/166.24 [1835]~E(x18351,x18352)+E(f745(x18351,x18353),f745(x18352,x18353)) % 166.45/166.24 [1836]~E(x18361,x18362)+E(f745(x18363,x18361),f745(x18363,x18362)) % 166.45/166.24 [1837]~E(x18371,x18372)+E(f343(x18371,x18373),f343(x18372,x18373)) % 166.45/166.24 [1838]~E(x18381,x18382)+E(f343(x18383,x18381),f343(x18383,x18382)) % 166.45/166.24 [1839]~E(x18391,x18392)+E(f128(x18391),f128(x18392)) % 166.45/166.24 [1840]~E(x18401,x18402)+E(f682(x18401,x18403,x18404,x18405),f682(x18402,x18403,x18404,x18405)) % 166.45/166.24 [1841]~E(x18411,x18412)+E(f682(x18413,x18411,x18414,x18415),f682(x18413,x18412,x18414,x18415)) % 166.45/166.24 [1842]~E(x18421,x18422)+E(f682(x18423,x18424,x18421,x18425),f682(x18423,x18424,x18422,x18425)) % 166.45/166.24 [1843]~E(x18431,x18432)+E(f682(x18433,x18434,x18435,x18431),f682(x18433,x18434,x18435,x18432)) % 166.45/166.24 [1844]~E(x18441,x18442)+E(f583(x18441,x18443,x18444,x18445,x18446,x18447),f583(x18442,x18443,x18444,x18445,x18446,x18447)) % 166.45/166.24 [1845]~E(x18451,x18452)+E(f583(x18453,x18451,x18454,x18455,x18456,x18457),f583(x18453,x18452,x18454,x18455,x18456,x18457)) % 166.45/166.24 [1846]~E(x18461,x18462)+E(f583(x18463,x18464,x18461,x18465,x18466,x18467),f583(x18463,x18464,x18462,x18465,x18466,x18467)) % 166.45/166.24 [1847]~E(x18471,x18472)+E(f583(x18473,x18474,x18475,x18471,x18476,x18477),f583(x18473,x18474,x18475,x18472,x18476,x18477)) % 166.45/166.24 [1848]~E(x18481,x18482)+E(f583(x18483,x18484,x18485,x18486,x18481,x18487),f583(x18483,x18484,x18485,x18486,x18482,x18487)) % 166.45/166.24 [1849]~E(x18491,x18492)+E(f583(x18493,x18494,x18495,x18496,x18497,x18491),f583(x18493,x18494,x18495,x18496,x18497,x18492)) % 166.45/166.24 [1850]~E(x18501,x18502)+E(f391(x18501,x18503,x18504),f391(x18502,x18503,x18504)) % 166.45/166.24 [1851]~E(x18511,x18512)+E(f391(x18513,x18511,x18514),f391(x18513,x18512,x18514)) % 166.45/166.24 [1852]~E(x18521,x18522)+E(f391(x18523,x18524,x18521),f391(x18523,x18524,x18522)) % 166.45/166.24 [1853]~E(x18531,x18532)+E(f586(x18531,x18533),f586(x18532,x18533)) % 166.45/166.24 [1854]~E(x18541,x18542)+E(f586(x18543,x18541),f586(x18543,x18542)) % 166.45/166.24 [1855]~E(x18551,x18552)+E(f759(x18551,x18553,x18554,x18555,x18556),f759(x18552,x18553,x18554,x18555,x18556)) % 166.45/166.24 [1856]~E(x18561,x18562)+E(f759(x18563,x18561,x18564,x18565,x18566),f759(x18563,x18562,x18564,x18565,x18566)) % 166.45/166.24 [1857]~E(x18571,x18572)+E(f759(x18573,x18574,x18571,x18575,x18576),f759(x18573,x18574,x18572,x18575,x18576)) % 166.45/166.24 [1858]~E(x18581,x18582)+E(f759(x18583,x18584,x18585,x18581,x18586),f759(x18583,x18584,x18585,x18582,x18586)) % 166.45/166.24 [1859]~E(x18591,x18592)+E(f759(x18593,x18594,x18595,x18596,x18591),f759(x18593,x18594,x18595,x18596,x18592)) % 166.45/166.24 [1860]~E(x18601,x18602)+E(f411(x18601,x18603,x18604,x18605),f411(x18602,x18603,x18604,x18605)) % 166.45/166.24 [1861]~E(x18611,x18612)+E(f411(x18613,x18611,x18614,x18615),f411(x18613,x18612,x18614,x18615)) % 166.45/166.24 [1862]~E(x18621,x18622)+E(f411(x18623,x18624,x18621,x18625),f411(x18623,x18624,x18622,x18625)) % 166.45/166.24 [1863]~E(x18631,x18632)+E(f411(x18633,x18634,x18635,x18631),f411(x18633,x18634,x18635,x18632)) % 166.45/166.24 [1864]~E(x18641,x18642)+E(f576(x18641,x18643,x18644,x18645,x18646,x18647),f576(x18642,x18643,x18644,x18645,x18646,x18647)) % 166.45/166.24 [1865]~E(x18651,x18652)+E(f576(x18653,x18651,x18654,x18655,x18656,x18657),f576(x18653,x18652,x18654,x18655,x18656,x18657)) % 166.45/166.24 [1866]~E(x18661,x18662)+E(f576(x18663,x18664,x18661,x18665,x18666,x18667),f576(x18663,x18664,x18662,x18665,x18666,x18667)) % 166.45/166.24 [1867]~E(x18671,x18672)+E(f576(x18673,x18674,x18675,x18671,x18676,x18677),f576(x18673,x18674,x18675,x18672,x18676,x18677)) % 166.45/166.24 [1868]~E(x18681,x18682)+E(f576(x18683,x18684,x18685,x18686,x18681,x18687),f576(x18683,x18684,x18685,x18686,x18682,x18687)) % 166.45/166.24 [1869]~E(x18691,x18692)+E(f576(x18693,x18694,x18695,x18696,x18697,x18691),f576(x18693,x18694,x18695,x18696,x18697,x18692)) % 166.45/166.24 [1870]~E(x18701,x18702)+E(f435(x18701,x18703,x18704,x18705,x18706),f435(x18702,x18703,x18704,x18705,x18706)) % 166.45/166.24 [1871]~E(x18711,x18712)+E(f435(x18713,x18711,x18714,x18715,x18716),f435(x18713,x18712,x18714,x18715,x18716)) % 166.45/166.24 [1872]~E(x18721,x18722)+E(f435(x18723,x18724,x18721,x18725,x18726),f435(x18723,x18724,x18722,x18725,x18726)) % 166.45/166.24 [1873]~E(x18731,x18732)+E(f435(x18733,x18734,x18735,x18731,x18736),f435(x18733,x18734,x18735,x18732,x18736)) % 166.45/166.24 [1874]~E(x18741,x18742)+E(f435(x18743,x18744,x18745,x18746,x18741),f435(x18743,x18744,x18745,x18746,x18742)) % 166.45/166.24 [1875]~E(x18751,x18752)+E(f748(x18751,x18753,x18754,x18755),f748(x18752,x18753,x18754,x18755)) % 166.45/166.24 [1876]~E(x18761,x18762)+E(f748(x18763,x18761,x18764,x18765),f748(x18763,x18762,x18764,x18765)) % 166.45/166.24 [1877]~E(x18771,x18772)+E(f748(x18773,x18774,x18771,x18775),f748(x18773,x18774,x18772,x18775)) % 166.45/166.24 [1878]~E(x18781,x18782)+E(f748(x18783,x18784,x18785,x18781),f748(x18783,x18784,x18785,x18782)) % 166.45/166.24 [1879]~E(x18791,x18792)+E(f422(x18791,x18793,x18794,x18795),f422(x18792,x18793,x18794,x18795)) % 166.45/166.24 [1880]~E(x18801,x18802)+E(f422(x18803,x18801,x18804,x18805),f422(x18803,x18802,x18804,x18805)) % 166.45/166.24 [1881]~E(x18811,x18812)+E(f422(x18813,x18814,x18811,x18815),f422(x18813,x18814,x18812,x18815)) % 166.45/166.24 [1882]~E(x18821,x18822)+E(f422(x18823,x18824,x18825,x18821),f422(x18823,x18824,x18825,x18822)) % 166.45/166.24 [1883]~E(x18831,x18832)+E(f569(x18831,x18833,x18834),f569(x18832,x18833,x18834)) % 166.45/166.24 [1884]~E(x18841,x18842)+E(f569(x18843,x18841,x18844),f569(x18843,x18842,x18844)) % 166.45/166.24 [1885]~E(x18851,x18852)+E(f569(x18853,x18854,x18851),f569(x18853,x18854,x18852)) % 166.45/166.24 [1886]~E(x18861,x18862)+E(f606(x18861,x18863,x18864,x18865,x18866),f606(x18862,x18863,x18864,x18865,x18866)) % 166.45/166.24 [1887]~E(x18871,x18872)+E(f606(x18873,x18871,x18874,x18875,x18876),f606(x18873,x18872,x18874,x18875,x18876)) % 166.45/166.24 [1888]~E(x18881,x18882)+E(f606(x18883,x18884,x18881,x18885,x18886),f606(x18883,x18884,x18882,x18885,x18886)) % 166.45/166.24 [1889]~E(x18891,x18892)+E(f606(x18893,x18894,x18895,x18891,x18896),f606(x18893,x18894,x18895,x18892,x18896)) % 166.45/166.24 [1890]~E(x18901,x18902)+E(f606(x18903,x18904,x18905,x18906,x18901),f606(x18903,x18904,x18905,x18906,x18902)) % 166.45/166.24 [1891]~E(x18911,x18912)+E(f582(x18911,x18913,x18914),f582(x18912,x18913,x18914)) % 166.45/166.24 [1892]~E(x18921,x18922)+E(f582(x18923,x18921,x18924),f582(x18923,x18922,x18924)) % 166.45/166.24 [1893]~E(x18931,x18932)+E(f582(x18933,x18934,x18931),f582(x18933,x18934,x18932)) % 166.45/166.24 [1894]~E(x18941,x18942)+E(f469(x18941,x18943,x18944,x18945,x18946),f469(x18942,x18943,x18944,x18945,x18946)) % 166.45/166.24 [1895]~E(x18951,x18952)+E(f469(x18953,x18951,x18954,x18955,x18956),f469(x18953,x18952,x18954,x18955,x18956)) % 166.45/166.24 [1896]~E(x18961,x18962)+E(f469(x18963,x18964,x18961,x18965,x18966),f469(x18963,x18964,x18962,x18965,x18966)) % 166.45/166.24 [1897]~E(x18971,x18972)+E(f469(x18973,x18974,x18975,x18971,x18976),f469(x18973,x18974,x18975,x18972,x18976)) % 166.45/166.24 [1898]~E(x18981,x18982)+E(f469(x18983,x18984,x18985,x18986,x18981),f469(x18983,x18984,x18985,x18986,x18982)) % 166.45/166.24 [1899]~E(x18991,x18992)+E(f751(x18991,x18993),f751(x18992,x18993)) % 166.45/166.24 [1900]~E(x19001,x19002)+E(f751(x19003,x19001),f751(x19003,x19002)) % 166.45/166.24 [1901]~E(x19011,x19012)+E(f555(x19011,x19013,x19014,x19015),f555(x19012,x19013,x19014,x19015)) % 166.45/166.24 [1902]~E(x19021,x19022)+E(f555(x19023,x19021,x19024,x19025),f555(x19023,x19022,x19024,x19025)) % 166.45/166.24 [1903]~E(x19031,x19032)+E(f555(x19033,x19034,x19031,x19035),f555(x19033,x19034,x19032,x19035)) % 166.45/166.24 [1904]~E(x19041,x19042)+E(f555(x19043,x19044,x19045,x19041),f555(x19043,x19044,x19045,x19042)) % 166.45/166.24 [1905]~E(x19051,x19052)+E(f521(x19051,x19053,x19054,x19055,x19056,x19057),f521(x19052,x19053,x19054,x19055,x19056,x19057)) % 166.45/166.24 [1906]~E(x19061,x19062)+E(f521(x19063,x19061,x19064,x19065,x19066,x19067),f521(x19063,x19062,x19064,x19065,x19066,x19067)) % 166.45/166.24 [1907]~E(x19071,x19072)+E(f521(x19073,x19074,x19071,x19075,x19076,x19077),f521(x19073,x19074,x19072,x19075,x19076,x19077)) % 166.45/166.24 [1908]~E(x19081,x19082)+E(f521(x19083,x19084,x19085,x19081,x19086,x19087),f521(x19083,x19084,x19085,x19082,x19086,x19087)) % 166.45/166.24 [1909]~E(x19091,x19092)+E(f521(x19093,x19094,x19095,x19096,x19091,x19097),f521(x19093,x19094,x19095,x19096,x19092,x19097)) % 166.45/166.24 [1910]~E(x19101,x19102)+E(f521(x19103,x19104,x19105,x19106,x19107,x19101),f521(x19103,x19104,x19105,x19106,x19107,x19102)) % 166.45/166.24 [1911]~E(x19111,x19112)+E(f609(x19111,x19113,x19114,x19115,x19116),f609(x19112,x19113,x19114,x19115,x19116)) % 166.45/166.24 [1912]~E(x19121,x19122)+E(f609(x19123,x19121,x19124,x19125,x19126),f609(x19123,x19122,x19124,x19125,x19126)) % 166.45/166.24 [1913]~E(x19131,x19132)+E(f609(x19133,x19134,x19131,x19135,x19136),f609(x19133,x19134,x19132,x19135,x19136)) % 166.45/166.24 [1914]~E(x19141,x19142)+E(f609(x19143,x19144,x19145,x19141,x19146),f609(x19143,x19144,x19145,x19142,x19146)) % 166.45/166.24 [1915]~E(x19151,x19152)+E(f609(x19153,x19154,x19155,x19156,x19151),f609(x19153,x19154,x19155,x19156,x19152)) % 166.45/166.24 [1916]~E(x19161,x19162)+E(f641(x19161,x19163,x19164),f641(x19162,x19163,x19164)) % 166.45/166.24 [1917]~E(x19171,x19172)+E(f641(x19173,x19171,x19174),f641(x19173,x19172,x19174)) % 166.45/166.24 [1918]~E(x19181,x19182)+E(f641(x19183,x19184,x19181),f641(x19183,x19184,x19182)) % 166.45/166.24 [1919]~E(x19191,x19192)+E(f854(x19191,x19193,x19194,x19195),f854(x19192,x19193,x19194,x19195)) % 166.45/166.24 [1920]~E(x19201,x19202)+E(f854(x19203,x19201,x19204,x19205),f854(x19203,x19202,x19204,x19205)) % 166.45/166.24 [1921]~E(x19211,x19212)+E(f854(x19213,x19214,x19211,x19215),f854(x19213,x19214,x19212,x19215)) % 166.45/166.24 [1922]~E(x19221,x19222)+E(f854(x19223,x19224,x19225,x19221),f854(x19223,x19224,x19225,x19222)) % 166.45/166.24 [1923]~E(x19231,x19232)+E(f205(x19231),f205(x19232)) % 166.45/166.24 [1924]~E(x19241,x19242)+E(f540(x19241,x19243,x19244,x19245),f540(x19242,x19243,x19244,x19245)) % 166.45/166.24 [1925]~E(x19251,x19252)+E(f540(x19253,x19251,x19254,x19255),f540(x19253,x19252,x19254,x19255)) % 166.45/166.24 [1926]~E(x19261,x19262)+E(f540(x19263,x19264,x19261,x19265),f540(x19263,x19264,x19262,x19265)) % 166.45/166.24 [1927]~E(x19271,x19272)+E(f540(x19273,x19274,x19275,x19271),f540(x19273,x19274,x19275,x19272)) % 166.45/166.24 [1928]~E(x19281,x19282)+E(f549(x19281,x19283,x19284,x19285,x19286,x19287),f549(x19282,x19283,x19284,x19285,x19286,x19287)) % 166.45/166.24 [1929]~E(x19291,x19292)+E(f549(x19293,x19291,x19294,x19295,x19296,x19297),f549(x19293,x19292,x19294,x19295,x19296,x19297)) % 166.45/166.24 [1930]~E(x19301,x19302)+E(f549(x19303,x19304,x19301,x19305,x19306,x19307),f549(x19303,x19304,x19302,x19305,x19306,x19307)) % 166.45/166.24 [1931]~E(x19311,x19312)+E(f549(x19313,x19314,x19315,x19311,x19316,x19317),f549(x19313,x19314,x19315,x19312,x19316,x19317)) % 166.45/166.24 [1932]~E(x19321,x19322)+E(f549(x19323,x19324,x19325,x19326,x19321,x19327),f549(x19323,x19324,x19325,x19326,x19322,x19327)) % 166.45/166.24 [1933]~E(x19331,x19332)+E(f549(x19333,x19334,x19335,x19336,x19337,x19331),f549(x19333,x19334,x19335,x19336,x19337,x19332)) % 166.45/166.24 [1934]~E(x19341,x19342)+E(f387(x19341),f387(x19342)) % 166.45/166.24 [1935]~E(x19351,x19352)+E(f596(x19351,x19353,x19354),f596(x19352,x19353,x19354)) % 166.45/166.24 [1936]~E(x19361,x19362)+E(f596(x19363,x19361,x19364),f596(x19363,x19362,x19364)) % 166.45/166.24 [1937]~E(x19371,x19372)+E(f596(x19373,x19374,x19371),f596(x19373,x19374,x19372)) % 166.45/166.24 [1938]~E(x19381,x19382)+E(f818(x19381,x19383,x19384,x19385),f818(x19382,x19383,x19384,x19385)) % 166.45/166.24 [1939]~E(x19391,x19392)+E(f818(x19393,x19391,x19394,x19395),f818(x19393,x19392,x19394,x19395)) % 166.45/166.24 [1940]~E(x19401,x19402)+E(f818(x19403,x19404,x19401,x19405),f818(x19403,x19404,x19402,x19405)) % 166.45/166.24 [1941]~E(x19411,x19412)+E(f818(x19413,x19414,x19415,x19411),f818(x19413,x19414,x19415,x19412)) % 166.45/166.24 [1942]~E(x19421,x19422)+E(f579(x19421,x19423,x19424,x19425,x19426,x19427),f579(x19422,x19423,x19424,x19425,x19426,x19427)) % 166.45/166.24 [1943]~E(x19431,x19432)+E(f579(x19433,x19431,x19434,x19435,x19436,x19437),f579(x19433,x19432,x19434,x19435,x19436,x19437)) % 166.45/166.24 [1944]~E(x19441,x19442)+E(f579(x19443,x19444,x19441,x19445,x19446,x19447),f579(x19443,x19444,x19442,x19445,x19446,x19447)) % 166.45/166.24 [1945]~E(x19451,x19452)+E(f579(x19453,x19454,x19455,x19451,x19456,x19457),f579(x19453,x19454,x19455,x19452,x19456,x19457)) % 166.45/166.24 [1946]~E(x19461,x19462)+E(f579(x19463,x19464,x19465,x19466,x19461,x19467),f579(x19463,x19464,x19465,x19466,x19462,x19467)) % 166.45/166.24 [1947]~E(x19471,x19472)+E(f579(x19473,x19474,x19475,x19476,x19477,x19471),f579(x19473,x19474,x19475,x19476,x19477,x19472)) % 166.45/166.24 [1948]~E(x19481,x19482)+E(f503(x19481,x19483,x19484),f503(x19482,x19483,x19484)) % 166.45/166.24 [1949]~E(x19491,x19492)+E(f503(x19493,x19491,x19494),f503(x19493,x19492,x19494)) % 166.45/166.24 [1950]~E(x19501,x19502)+E(f503(x19503,x19504,x19501),f503(x19503,x19504,x19502)) % 166.45/166.24 [1951]~E(x19511,x19512)+E(f673(x19511,x19513,x19514,x19515,x19516),f673(x19512,x19513,x19514,x19515,x19516)) % 166.45/166.24 [1952]~E(x19521,x19522)+E(f673(x19523,x19521,x19524,x19525,x19526),f673(x19523,x19522,x19524,x19525,x19526)) % 166.45/166.24 [1953]~E(x19531,x19532)+E(f673(x19533,x19534,x19531,x19535,x19536),f673(x19533,x19534,x19532,x19535,x19536)) % 166.45/166.24 [1954]~E(x19541,x19542)+E(f673(x19543,x19544,x19545,x19541,x19546),f673(x19543,x19544,x19545,x19542,x19546)) % 166.45/166.24 [1955]~E(x19551,x19552)+E(f673(x19553,x19554,x19555,x19556,x19551),f673(x19553,x19554,x19555,x19556,x19552)) % 166.45/166.24 [1956]~E(x19561,x19562)+E(f872(x19561,x19563,x19564,x19565,x19566),f872(x19562,x19563,x19564,x19565,x19566)) % 166.45/166.24 [1957]~E(x19571,x19572)+E(f872(x19573,x19571,x19574,x19575,x19576),f872(x19573,x19572,x19574,x19575,x19576)) % 166.45/166.24 [1958]~E(x19581,x19582)+E(f872(x19583,x19584,x19581,x19585,x19586),f872(x19583,x19584,x19582,x19585,x19586)) % 166.45/166.24 [1959]~E(x19591,x19592)+E(f872(x19593,x19594,x19595,x19591,x19596),f872(x19593,x19594,x19595,x19592,x19596)) % 166.45/166.24 [1960]~E(x19601,x19602)+E(f872(x19603,x19604,x19605,x19606,x19601),f872(x19603,x19604,x19605,x19606,x19602)) % 166.45/166.24 [1961]~E(x19611,x19612)+E(f649(x19611,x19613,x19614),f649(x19612,x19613,x19614)) % 166.45/166.24 [1962]~E(x19621,x19622)+E(f649(x19623,x19621,x19624),f649(x19623,x19622,x19624)) % 166.45/166.24 [1963]~E(x19631,x19632)+E(f649(x19633,x19634,x19631),f649(x19633,x19634,x19632)) % 166.45/166.24 [1964]~E(x19641,x19642)+E(f395(x19641,x19643,x19644),f395(x19642,x19643,x19644)) % 166.45/166.24 [1965]~E(x19651,x19652)+E(f395(x19653,x19651,x19654),f395(x19653,x19652,x19654)) % 166.45/166.24 [1966]~E(x19661,x19662)+E(f395(x19663,x19664,x19661),f395(x19663,x19664,x19662)) % 166.45/166.24 [1967]~E(x19671,x19672)+E(f542(x19671,x19673,x19674,x19675),f542(x19672,x19673,x19674,x19675)) % 166.45/166.24 [1968]~E(x19681,x19682)+E(f542(x19683,x19681,x19684,x19685),f542(x19683,x19682,x19684,x19685)) % 166.45/166.24 [1969]~E(x19691,x19692)+E(f542(x19693,x19694,x19691,x19695),f542(x19693,x19694,x19692,x19695)) % 166.45/166.24 [1970]~E(x19701,x19702)+E(f542(x19703,x19704,x19705,x19701),f542(x19703,x19704,x19705,x19702)) % 166.45/166.24 [1971]~E(x19711,x19712)+E(f547(x19711,x19713,x19714,x19715),f547(x19712,x19713,x19714,x19715)) % 166.45/166.24 [1972]~E(x19721,x19722)+E(f547(x19723,x19721,x19724,x19725),f547(x19723,x19722,x19724,x19725)) % 166.45/166.24 [1973]~E(x19731,x19732)+E(f547(x19733,x19734,x19731,x19735),f547(x19733,x19734,x19732,x19735)) % 166.45/166.24 [1974]~E(x19741,x19742)+E(f547(x19743,x19744,x19745,x19741),f547(x19743,x19744,x19745,x19742)) % 166.45/166.24 [1975]~E(x19751,x19752)+E(f342(x19751,x19753),f342(x19752,x19753)) % 166.45/166.24 [1976]~E(x19761,x19762)+E(f342(x19763,x19761),f342(x19763,x19762)) % 166.45/166.24 [1977]~E(x19771,x19772)+E(f363(x19771,x19773,x19774),f363(x19772,x19773,x19774)) % 166.45/166.24 [1978]~E(x19781,x19782)+E(f363(x19783,x19781,x19784),f363(x19783,x19782,x19784)) % 166.45/166.24 [1979]~E(x19791,x19792)+E(f363(x19793,x19794,x19791),f363(x19793,x19794,x19792)) % 166.45/166.24 [1980]~E(x19801,x19802)+E(f647(x19801,x19803,x19804),f647(x19802,x19803,x19804)) % 166.45/166.24 [1981]~E(x19811,x19812)+E(f647(x19813,x19811,x19814),f647(x19813,x19812,x19814)) % 166.45/166.24 [1982]~E(x19821,x19822)+E(f647(x19823,x19824,x19821),f647(x19823,x19824,x19822)) % 166.45/166.25 [1983]~E(x19831,x19832)+E(f839(x19831,x19833,x19834,x19835,x19836,x19837),f839(x19832,x19833,x19834,x19835,x19836,x19837)) % 166.45/166.25 [1984]~E(x19841,x19842)+E(f839(x19843,x19841,x19844,x19845,x19846,x19847),f839(x19843,x19842,x19844,x19845,x19846,x19847)) % 166.45/166.25 [1985]~E(x19851,x19852)+E(f839(x19853,x19854,x19851,x19855,x19856,x19857),f839(x19853,x19854,x19852,x19855,x19856,x19857)) % 166.45/166.25 [1986]~E(x19861,x19862)+E(f839(x19863,x19864,x19865,x19861,x19866,x19867),f839(x19863,x19864,x19865,x19862,x19866,x19867)) % 166.45/166.25 [1987]~E(x19871,x19872)+E(f839(x19873,x19874,x19875,x19876,x19871,x19877),f839(x19873,x19874,x19875,x19876,x19872,x19877)) % 166.45/166.25 [1988]~E(x19881,x19882)+E(f839(x19883,x19884,x19885,x19886,x19887,x19881),f839(x19883,x19884,x19885,x19886,x19887,x19882)) % 166.45/166.25 [1989]~E(x19891,x19892)+E(f376(x19891,x19893,x19894,x19895),f376(x19892,x19893,x19894,x19895)) % 166.45/166.25 [1990]~E(x19901,x19902)+E(f376(x19903,x19901,x19904,x19905),f376(x19903,x19902,x19904,x19905)) % 166.45/166.25 [1991]~E(x19911,x19912)+E(f376(x19913,x19914,x19911,x19915),f376(x19913,x19914,x19912,x19915)) % 166.45/166.25 [1992]~E(x19921,x19922)+E(f376(x19923,x19924,x19925,x19921),f376(x19923,x19924,x19925,x19922)) % 166.45/166.25 [1993]~E(x19931,x19932)+E(f897(x19931,x19933),f897(x19932,x19933)) % 166.45/166.25 [1994]~E(x19941,x19942)+E(f897(x19943,x19941),f897(x19943,x19942)) % 166.45/166.25 [1995]~E(x19951,x19952)+E(f512(x19951,x19953,x19954),f512(x19952,x19953,x19954)) % 166.45/166.25 [1996]~E(x19961,x19962)+E(f512(x19963,x19961,x19964),f512(x19963,x19962,x19964)) % 166.45/166.25 [1997]~E(x19971,x19972)+E(f512(x19973,x19974,x19971),f512(x19973,x19974,x19972)) % 166.45/166.25 [1998]~E(x19981,x19982)+E(f232(x19981,x19983,x19984),f232(x19982,x19983,x19984)) % 166.45/166.25 [1999]~E(x19991,x19992)+E(f232(x19993,x19991,x19994),f232(x19993,x19992,x19994)) % 166.45/166.25 [2000]~E(x20001,x20002)+E(f232(x20003,x20004,x20001),f232(x20003,x20004,x20002)) % 166.45/166.25 [2001]~E(x20011,x20012)+E(f815(x20011,x20013),f815(x20012,x20013)) % 166.45/166.25 [2002]~E(x20021,x20022)+E(f815(x20023,x20021),f815(x20023,x20022)) % 166.45/166.25 [2003]~E(x20031,x20032)+E(f272(x20031),f272(x20032)) % 166.45/166.25 [2004]~E(x20041,x20042)+E(f562(x20041,x20043,x20044),f562(x20042,x20043,x20044)) % 166.45/166.25 [2005]~E(x20051,x20052)+E(f562(x20053,x20051,x20054),f562(x20053,x20052,x20054)) % 166.45/166.25 [2006]~E(x20061,x20062)+E(f562(x20063,x20064,x20061),f562(x20063,x20064,x20062)) % 166.45/166.25 [2007]~E(x20071,x20072)+E(f624(x20071,x20073,x20074,x20075,x20076),f624(x20072,x20073,x20074,x20075,x20076)) % 166.45/166.25 [2008]~E(x20081,x20082)+E(f624(x20083,x20081,x20084,x20085,x20086),f624(x20083,x20082,x20084,x20085,x20086)) % 166.45/166.25 [2009]~E(x20091,x20092)+E(f624(x20093,x20094,x20091,x20095,x20096),f624(x20093,x20094,x20092,x20095,x20096)) % 166.45/166.25 [2010]~E(x20101,x20102)+E(f624(x20103,x20104,x20105,x20101,x20106),f624(x20103,x20104,x20105,x20102,x20106)) % 166.45/166.25 [2011]~E(x20111,x20112)+E(f624(x20113,x20114,x20115,x20116,x20111),f624(x20113,x20114,x20115,x20116,x20112)) % 166.45/166.25 [2012]~E(x20121,x20122)+E(f698(x20121),f698(x20122)) % 166.45/166.25 [2013]~E(x20131,x20132)+E(f242(x20131,x20133),f242(x20132,x20133)) % 166.45/166.25 [2014]~E(x20141,x20142)+E(f242(x20143,x20141),f242(x20143,x20142)) % 166.45/166.25 [2015]~E(x20151,x20152)+E(f676(x20151,x20153,x20154,x20155,x20156),f676(x20152,x20153,x20154,x20155,x20156)) % 166.45/166.25 [2016]~E(x20161,x20162)+E(f676(x20163,x20161,x20164,x20165,x20166),f676(x20163,x20162,x20164,x20165,x20166)) % 166.45/166.25 [2017]~E(x20171,x20172)+E(f676(x20173,x20174,x20171,x20175,x20176),f676(x20173,x20174,x20172,x20175,x20176)) % 166.45/166.25 [2018]~E(x20181,x20182)+E(f676(x20183,x20184,x20185,x20181,x20186),f676(x20183,x20184,x20185,x20182,x20186)) % 166.45/166.25 [2019]~E(x20191,x20192)+E(f676(x20193,x20194,x20195,x20196,x20191),f676(x20193,x20194,x20195,x20196,x20192)) % 166.45/166.25 [2020]~E(x20201,x20202)+E(f477(x20201,x20203,x20204,x20205,x20206),f477(x20202,x20203,x20204,x20205,x20206)) % 166.45/166.25 [2021]~E(x20211,x20212)+E(f477(x20213,x20211,x20214,x20215,x20216),f477(x20213,x20212,x20214,x20215,x20216)) % 166.45/166.25 [2022]~E(x20221,x20222)+E(f477(x20223,x20224,x20221,x20225,x20226),f477(x20223,x20224,x20222,x20225,x20226)) % 166.45/166.25 [2023]~E(x20231,x20232)+E(f477(x20233,x20234,x20235,x20231,x20236),f477(x20233,x20234,x20235,x20232,x20236)) % 166.45/166.25 [2024]~E(x20241,x20242)+E(f477(x20243,x20244,x20245,x20246,x20241),f477(x20243,x20244,x20245,x20246,x20242)) % 166.45/166.25 [2025]~E(x20251,x20252)+E(f728(x20251,x20253,x20254),f728(x20252,x20253,x20254)) % 166.45/166.25 [2026]~E(x20261,x20262)+E(f728(x20263,x20261,x20264),f728(x20263,x20262,x20264)) % 166.45/166.25 [2027]~E(x20271,x20272)+E(f728(x20273,x20274,x20271),f728(x20273,x20274,x20272)) % 166.45/166.25 [2028]~E(x20281,x20282)+E(f859(x20281,x20283,x20284,x20285,x20286),f859(x20282,x20283,x20284,x20285,x20286)) % 166.45/166.25 [2029]~E(x20291,x20292)+E(f859(x20293,x20291,x20294,x20295,x20296),f859(x20293,x20292,x20294,x20295,x20296)) % 166.45/166.25 [2030]~E(x20301,x20302)+E(f859(x20303,x20304,x20301,x20305,x20306),f859(x20303,x20304,x20302,x20305,x20306)) % 166.45/166.25 [2031]~E(x20311,x20312)+E(f859(x20313,x20314,x20315,x20311,x20316),f859(x20313,x20314,x20315,x20312,x20316)) % 166.45/166.25 [2032]~E(x20321,x20322)+E(f859(x20323,x20324,x20325,x20326,x20321),f859(x20323,x20324,x20325,x20326,x20322)) % 166.45/166.25 [2033]~E(x20331,x20332)+E(f833(x20331,x20333,x20334),f833(x20332,x20333,x20334)) % 166.45/166.25 [2034]~E(x20341,x20342)+E(f833(x20343,x20341,x20344),f833(x20343,x20342,x20344)) % 166.45/166.25 [2035]~E(x20351,x20352)+E(f833(x20353,x20354,x20351),f833(x20353,x20354,x20352)) % 166.45/166.25 [2036]~E(x20361,x20362)+E(f134(x20361,x20363,x20364,x20365),f134(x20362,x20363,x20364,x20365)) % 166.45/166.25 [2037]~E(x20371,x20372)+E(f134(x20373,x20371,x20374,x20375),f134(x20373,x20372,x20374,x20375)) % 166.45/166.25 [2038]~E(x20381,x20382)+E(f134(x20383,x20384,x20381,x20385),f134(x20383,x20384,x20382,x20385)) % 166.45/166.25 [2039]~E(x20391,x20392)+E(f134(x20393,x20394,x20395,x20391),f134(x20393,x20394,x20395,x20392)) % 166.45/166.25 [2040]~E(x20401,x20402)+E(f675(x20401,x20403),f675(x20402,x20403)) % 166.45/166.25 [2041]~E(x20411,x20412)+E(f675(x20413,x20411),f675(x20413,x20412)) % 166.45/166.25 [2042]~E(x20421,x20422)+E(f687(x20421,x20423,x20424),f687(x20422,x20423,x20424)) % 166.45/166.25 [2043]~E(x20431,x20432)+E(f687(x20433,x20431,x20434),f687(x20433,x20432,x20434)) % 166.45/166.25 [2044]~E(x20441,x20442)+E(f687(x20443,x20444,x20441),f687(x20443,x20444,x20442)) % 166.45/166.25 [2045]~E(x20451,x20452)+E(f378(x20451,x20453,x20454,x20455),f378(x20452,x20453,x20454,x20455)) % 166.45/166.25 [2046]~E(x20461,x20462)+E(f378(x20463,x20461,x20464,x20465),f378(x20463,x20462,x20464,x20465)) % 166.45/166.25 [2047]~E(x20471,x20472)+E(f378(x20473,x20474,x20471,x20475),f378(x20473,x20474,x20472,x20475)) % 166.45/166.25 [2048]~E(x20481,x20482)+E(f378(x20483,x20484,x20485,x20481),f378(x20483,x20484,x20485,x20482)) % 166.45/166.25 [2049]~E(x20491,x20492)+E(f165(x20491,x20493),f165(x20492,x20493)) % 166.45/166.25 [2050]~E(x20501,x20502)+E(f165(x20503,x20501),f165(x20503,x20502)) % 166.45/166.25 [2051]~E(x20511,x20512)+E(f856(x20511,x20513,x20514,x20515),f856(x20512,x20513,x20514,x20515)) % 166.45/166.25 [2052]~E(x20521,x20522)+E(f856(x20523,x20521,x20524,x20525),f856(x20523,x20522,x20524,x20525)) % 166.45/166.25 [2053]~E(x20531,x20532)+E(f856(x20533,x20534,x20531,x20535),f856(x20533,x20534,x20532,x20535)) % 166.45/166.25 [2054]~E(x20541,x20542)+E(f856(x20543,x20544,x20545,x20541),f856(x20543,x20544,x20545,x20542)) % 166.45/166.25 [2055]~E(x20551,x20552)+E(f633(x20551,x20553,x20554,x20555,x20556),f633(x20552,x20553,x20554,x20555,x20556)) % 166.45/166.25 [2056]~E(x20561,x20562)+E(f633(x20563,x20561,x20564,x20565,x20566),f633(x20563,x20562,x20564,x20565,x20566)) % 166.45/166.25 [2057]~E(x20571,x20572)+E(f633(x20573,x20574,x20571,x20575,x20576),f633(x20573,x20574,x20572,x20575,x20576)) % 166.45/166.25 [2058]~E(x20581,x20582)+E(f633(x20583,x20584,x20585,x20581,x20586),f633(x20583,x20584,x20585,x20582,x20586)) % 166.45/166.25 [2059]~E(x20591,x20592)+E(f633(x20593,x20594,x20595,x20596,x20591),f633(x20593,x20594,x20595,x20596,x20592)) % 166.45/166.25 [2060]~E(x20601,x20602)+E(f755(x20601,x20603),f755(x20602,x20603)) % 166.45/166.25 [2061]~E(x20611,x20612)+E(f755(x20613,x20611),f755(x20613,x20612)) % 166.45/166.25 [2062]~E(x20621,x20622)+E(f464(x20621,x20623,x20624,x20625,x20626,x20627),f464(x20622,x20623,x20624,x20625,x20626,x20627)) % 166.45/166.25 [2063]~E(x20631,x20632)+E(f464(x20633,x20631,x20634,x20635,x20636,x20637),f464(x20633,x20632,x20634,x20635,x20636,x20637)) % 166.45/166.25 [2064]~E(x20641,x20642)+E(f464(x20643,x20644,x20641,x20645,x20646,x20647),f464(x20643,x20644,x20642,x20645,x20646,x20647)) % 166.45/166.25 [2065]~E(x20651,x20652)+E(f464(x20653,x20654,x20655,x20651,x20656,x20657),f464(x20653,x20654,x20655,x20652,x20656,x20657)) % 166.45/166.25 [2066]~E(x20661,x20662)+E(f464(x20663,x20664,x20665,x20666,x20661,x20667),f464(x20663,x20664,x20665,x20666,x20662,x20667)) % 166.45/166.25 [2067]~E(x20671,x20672)+E(f464(x20673,x20674,x20675,x20676,x20677,x20671),f464(x20673,x20674,x20675,x20676,x20677,x20672)) % 166.45/166.25 [2068]~E(x20681,x20682)+E(f888(x20681,x20683,x20684,x20685),f888(x20682,x20683,x20684,x20685)) % 166.45/166.25 [2069]~E(x20691,x20692)+E(f888(x20693,x20691,x20694,x20695),f888(x20693,x20692,x20694,x20695)) % 166.45/166.25 [2070]~E(x20701,x20702)+E(f888(x20703,x20704,x20701,x20705),f888(x20703,x20704,x20702,x20705)) % 166.45/166.25 [2071]~E(x20711,x20712)+E(f888(x20713,x20714,x20715,x20711),f888(x20713,x20714,x20715,x20712)) % 166.45/166.25 [2072]~E(x20721,x20722)+E(f482(x20721,x20723,x20724,x20725,x20726,x20727),f482(x20722,x20723,x20724,x20725,x20726,x20727)) % 166.45/166.25 [2073]~E(x20731,x20732)+E(f482(x20733,x20731,x20734,x20735,x20736,x20737),f482(x20733,x20732,x20734,x20735,x20736,x20737)) % 166.45/166.25 [2074]~E(x20741,x20742)+E(f482(x20743,x20744,x20741,x20745,x20746,x20747),f482(x20743,x20744,x20742,x20745,x20746,x20747)) % 166.45/166.25 [2075]~E(x20751,x20752)+E(f482(x20753,x20754,x20755,x20751,x20756,x20757),f482(x20753,x20754,x20755,x20752,x20756,x20757)) % 166.45/166.25 [2076]~E(x20761,x20762)+E(f482(x20763,x20764,x20765,x20766,x20761,x20767),f482(x20763,x20764,x20765,x20766,x20762,x20767)) % 166.45/166.25 [2077]~E(x20771,x20772)+E(f482(x20773,x20774,x20775,x20776,x20777,x20771),f482(x20773,x20774,x20775,x20776,x20777,x20772)) % 166.45/166.25 [2078]~E(x20781,x20782)+E(f367(x20781,x20783),f367(x20782,x20783)) % 166.45/166.25 [2079]~E(x20791,x20792)+E(f367(x20793,x20791),f367(x20793,x20792)) % 166.45/166.25 [2080]~E(x20801,x20802)+E(f209(x20801,x20803,x20804,x20805),f209(x20802,x20803,x20804,x20805)) % 166.45/166.25 [2081]~E(x20811,x20812)+E(f209(x20813,x20811,x20814,x20815),f209(x20813,x20812,x20814,x20815)) % 166.45/166.25 [2082]~E(x20821,x20822)+E(f209(x20823,x20824,x20821,x20825),f209(x20823,x20824,x20822,x20825)) % 166.45/166.25 [2083]~E(x20831,x20832)+E(f209(x20833,x20834,x20835,x20831),f209(x20833,x20834,x20835,x20832)) % 166.45/166.25 [2084]~E(x20841,x20842)+E(f280(x20841,x20843,x20844,x20845),f280(x20842,x20843,x20844,x20845)) % 166.45/166.25 [2085]~E(x20851,x20852)+E(f280(x20853,x20851,x20854,x20855),f280(x20853,x20852,x20854,x20855)) % 166.45/166.25 [2086]~E(x20861,x20862)+E(f280(x20863,x20864,x20861,x20865),f280(x20863,x20864,x20862,x20865)) % 166.45/166.25 [2087]~E(x20871,x20872)+E(f280(x20873,x20874,x20875,x20871),f280(x20873,x20874,x20875,x20872)) % 166.45/166.25 [2088]~E(x20881,x20882)+E(f399(x20881,x20883,x20884,x20885,x20886),f399(x20882,x20883,x20884,x20885,x20886)) % 166.45/166.25 [2089]~E(x20891,x20892)+E(f399(x20893,x20891,x20894,x20895,x20896),f399(x20893,x20892,x20894,x20895,x20896)) % 166.45/166.25 [2090]~E(x20901,x20902)+E(f399(x20903,x20904,x20901,x20905,x20906),f399(x20903,x20904,x20902,x20905,x20906)) % 166.45/166.25 [2091]~E(x20911,x20912)+E(f399(x20913,x20914,x20915,x20911,x20916),f399(x20913,x20914,x20915,x20912,x20916)) % 166.45/166.25 [2092]~E(x20921,x20922)+E(f399(x20923,x20924,x20925,x20926,x20921),f399(x20923,x20924,x20925,x20926,x20922)) % 166.45/166.25 [2093]~E(x20931,x20932)+E(f360(x20931,x20933,x20934,x20935),f360(x20932,x20933,x20934,x20935)) % 166.45/166.25 [2094]~E(x20941,x20942)+E(f360(x20943,x20941,x20944,x20945),f360(x20943,x20942,x20944,x20945)) % 166.45/166.25 [2095]~E(x20951,x20952)+E(f360(x20953,x20954,x20951,x20955),f360(x20953,x20954,x20952,x20955)) % 166.45/166.25 [2096]~E(x20961,x20962)+E(f360(x20963,x20964,x20965,x20961),f360(x20963,x20964,x20965,x20962)) % 166.45/166.25 [2097]~E(x20971,x20972)+E(f866(x20971,x20973),f866(x20972,x20973)) % 166.45/166.25 [2098]~E(x20981,x20982)+E(f866(x20983,x20981),f866(x20983,x20982)) % 166.45/166.25 [2099]~E(x20991,x20992)+E(f841(x20991,x20993),f841(x20992,x20993)) % 166.45/166.25 [2100]~E(x21001,x21002)+E(f841(x21003,x21001),f841(x21003,x21002)) % 166.45/166.25 [2101]~E(x21011,x21012)+E(f817(x21011,x21013,x21014),f817(x21012,x21013,x21014)) % 166.45/166.25 [2102]~E(x21021,x21022)+E(f817(x21023,x21021,x21024),f817(x21023,x21022,x21024)) % 166.45/166.25 [2103]~E(x21031,x21032)+E(f817(x21033,x21034,x21031),f817(x21033,x21034,x21032)) % 166.45/166.25 [2104]~E(x21041,x21042)+E(f656(x21041,x21043,x21044,x21045,x21046,x21047,x21048),f656(x21042,x21043,x21044,x21045,x21046,x21047,x21048)) % 166.45/166.25 [2105]~E(x21051,x21052)+E(f656(x21053,x21051,x21054,x21055,x21056,x21057,x21058),f656(x21053,x21052,x21054,x21055,x21056,x21057,x21058)) % 166.45/166.25 [2106]~E(x21061,x21062)+E(f656(x21063,x21064,x21061,x21065,x21066,x21067,x21068),f656(x21063,x21064,x21062,x21065,x21066,x21067,x21068)) % 166.45/166.25 [2107]~E(x21071,x21072)+E(f656(x21073,x21074,x21075,x21071,x21076,x21077,x21078),f656(x21073,x21074,x21075,x21072,x21076,x21077,x21078)) % 166.45/166.25 [2108]~E(x21081,x21082)+E(f656(x21083,x21084,x21085,x21086,x21081,x21087,x21088),f656(x21083,x21084,x21085,x21086,x21082,x21087,x21088)) % 166.45/166.25 [2109]~E(x21091,x21092)+E(f656(x21093,x21094,x21095,x21096,x21097,x21091,x21098),f656(x21093,x21094,x21095,x21096,x21097,x21092,x21098)) % 166.45/166.25 [2110]~E(x21101,x21102)+E(f656(x21103,x21104,x21105,x21106,x21107,x21108,x21101),f656(x21103,x21104,x21105,x21106,x21107,x21108,x21102)) % 166.45/166.25 [2111]~E(x21111,x21112)+E(f573(x21111,x21113,x21114),f573(x21112,x21113,x21114)) % 166.45/166.25 [2112]~E(x21121,x21122)+E(f573(x21123,x21121,x21124),f573(x21123,x21122,x21124)) % 166.45/166.25 [2113]~E(x21131,x21132)+E(f573(x21133,x21134,x21131),f573(x21133,x21134,x21132)) % 166.45/166.25 [2114]~E(x21141,x21142)+E(f653(x21141,x21143,x21144,x21145),f653(x21142,x21143,x21144,x21145)) % 166.45/166.25 [2115]~E(x21151,x21152)+E(f653(x21153,x21151,x21154,x21155),f653(x21153,x21152,x21154,x21155)) % 166.45/166.25 [2116]~E(x21161,x21162)+E(f653(x21163,x21164,x21161,x21165),f653(x21163,x21164,x21162,x21165)) % 166.45/166.25 [2117]~E(x21171,x21172)+E(f653(x21173,x21174,x21175,x21171),f653(x21173,x21174,x21175,x21172)) % 166.45/166.25 [2118]~E(x21181,x21182)+E(f228(x21181,x21183,x21184,x21185,x21186),f228(x21182,x21183,x21184,x21185,x21186)) % 166.45/166.25 [2119]~E(x21191,x21192)+E(f228(x21193,x21191,x21194,x21195,x21196),f228(x21193,x21192,x21194,x21195,x21196)) % 166.45/166.25 [2120]~E(x21201,x21202)+E(f228(x21203,x21204,x21201,x21205,x21206),f228(x21203,x21204,x21202,x21205,x21206)) % 166.45/166.25 [2121]~E(x21211,x21212)+E(f228(x21213,x21214,x21215,x21211,x21216),f228(x21213,x21214,x21215,x21212,x21216)) % 166.45/166.25 [2122]~E(x21221,x21222)+E(f228(x21223,x21224,x21225,x21226,x21221),f228(x21223,x21224,x21225,x21226,x21222)) % 166.45/166.25 [2123]~E(x21231,x21232)+E(f719(x21231,x21233,x21234,x21235,x21236),f719(x21232,x21233,x21234,x21235,x21236)) % 166.45/166.25 [2124]~E(x21241,x21242)+E(f719(x21243,x21241,x21244,x21245,x21246),f719(x21243,x21242,x21244,x21245,x21246)) % 166.45/166.25 [2125]~E(x21251,x21252)+E(f719(x21253,x21254,x21251,x21255,x21256),f719(x21253,x21254,x21252,x21255,x21256)) % 166.45/166.25 [2126]~E(x21261,x21262)+E(f719(x21263,x21264,x21265,x21261,x21266),f719(x21263,x21264,x21265,x21262,x21266)) % 166.45/166.25 [2127]~E(x21271,x21272)+E(f719(x21273,x21274,x21275,x21276,x21271),f719(x21273,x21274,x21275,x21276,x21272)) % 166.45/166.25 [2128]~E(x21281,x21282)+E(f661(x21281,x21283,x21284),f661(x21282,x21283,x21284)) % 166.45/166.25 [2129]~E(x21291,x21292)+E(f661(x21293,x21291,x21294),f661(x21293,x21292,x21294)) % 166.45/166.25 [2130]~E(x21301,x21302)+E(f661(x21303,x21304,x21301),f661(x21303,x21304,x21302)) % 166.45/166.25 [2131]~E(x21311,x21312)+E(f17(x21311,x21313,x21314,x21315),f17(x21312,x21313,x21314,x21315)) % 166.45/166.25 [2132]~E(x21321,x21322)+E(f17(x21323,x21321,x21324,x21325),f17(x21323,x21322,x21324,x21325)) % 166.45/166.25 [2133]~E(x21331,x21332)+E(f17(x21333,x21334,x21331,x21335),f17(x21333,x21334,x21332,x21335)) % 166.45/166.25 [2134]~E(x21341,x21342)+E(f17(x21343,x21344,x21345,x21341),f17(x21343,x21344,x21345,x21342)) % 166.45/166.25 [2135]~E(x21351,x21352)+E(f448(x21351),f448(x21352)) % 166.45/166.25 [2136]~E(x21361,x21362)+E(f842(x21361,x21363),f842(x21362,x21363)) % 166.45/166.25 [2137]~E(x21371,x21372)+E(f842(x21373,x21371),f842(x21373,x21372)) % 166.45/166.25 [2138]~E(x21381,x21382)+E(f667(x21381,x21383,x21384,x21385),f667(x21382,x21383,x21384,x21385)) % 166.45/166.25 [2139]~E(x21391,x21392)+E(f667(x21393,x21391,x21394,x21395),f667(x21393,x21392,x21394,x21395)) % 166.45/166.25 [2140]~E(x21401,x21402)+E(f667(x21403,x21404,x21401,x21405),f667(x21403,x21404,x21402,x21405)) % 166.45/166.25 [2141]~E(x21411,x21412)+E(f667(x21413,x21414,x21415,x21411),f667(x21413,x21414,x21415,x21412)) % 166.45/166.25 [2142]~E(x21421,x21422)+E(f356(x21421,x21423,x21424,x21425),f356(x21422,x21423,x21424,x21425)) % 166.45/166.25 [2143]~E(x21431,x21432)+E(f356(x21433,x21431,x21434,x21435),f356(x21433,x21432,x21434,x21435)) % 166.45/166.25 [2144]~E(x21441,x21442)+E(f356(x21443,x21444,x21441,x21445),f356(x21443,x21444,x21442,x21445)) % 166.45/166.25 [2145]~E(x21451,x21452)+E(f356(x21453,x21454,x21455,x21451),f356(x21453,x21454,x21455,x21452)) % 166.45/166.25 [2146]~E(x21461,x21462)+E(f893(x21461,x21463,x21464),f893(x21462,x21463,x21464)) % 166.45/166.25 [2147]~E(x21471,x21472)+E(f893(x21473,x21471,x21474),f893(x21473,x21472,x21474)) % 166.45/166.25 [2148]~E(x21481,x21482)+E(f893(x21483,x21484,x21481),f893(x21483,x21484,x21482)) % 166.45/166.25 [2149]~E(x21491,x21492)+E(f552(x21491,x21493,x21494,x21495,x21496),f552(x21492,x21493,x21494,x21495,x21496)) % 166.45/166.25 [2150]~E(x21501,x21502)+E(f552(x21503,x21501,x21504,x21505,x21506),f552(x21503,x21502,x21504,x21505,x21506)) % 166.45/166.25 [2151]~E(x21511,x21512)+E(f552(x21513,x21514,x21511,x21515,x21516),f552(x21513,x21514,x21512,x21515,x21516)) % 166.45/166.25 [2152]~E(x21521,x21522)+E(f552(x21523,x21524,x21525,x21521,x21526),f552(x21523,x21524,x21525,x21522,x21526)) % 166.45/166.25 [2153]~E(x21531,x21532)+E(f552(x21533,x21534,x21535,x21536,x21531),f552(x21533,x21534,x21535,x21536,x21532)) % 166.45/166.25 [2154]~E(x21541,x21542)+E(f277(x21541,x21543,x21544),f277(x21542,x21543,x21544)) % 166.45/166.25 [2155]~E(x21551,x21552)+E(f277(x21553,x21551,x21554),f277(x21553,x21552,x21554)) % 166.45/166.25 [2156]~E(x21561,x21562)+E(f277(x21563,x21564,x21561),f277(x21563,x21564,x21562)) % 166.45/166.25 [2157]~E(x21571,x21572)+E(f480(x21571,x21573,x21574),f480(x21572,x21573,x21574)) % 166.45/166.25 [2158]~E(x21581,x21582)+E(f480(x21583,x21581,x21584),f480(x21583,x21582,x21584)) % 166.45/166.25 [2159]~E(x21591,x21592)+E(f480(x21593,x21594,x21591),f480(x21593,x21594,x21592)) % 166.45/166.25 [2160]~E(x21601,x21602)+E(f835(x21601,x21603),f835(x21602,x21603)) % 166.45/166.25 [2161]~E(x21611,x21612)+E(f835(x21613,x21611),f835(x21613,x21612)) % 166.45/166.25 [2162]~E(x21621,x21622)+E(f371(x21621,x21623,x21624,x21625),f371(x21622,x21623,x21624,x21625)) % 166.45/166.25 [2163]~E(x21631,x21632)+E(f371(x21633,x21631,x21634,x21635),f371(x21633,x21632,x21634,x21635)) % 166.45/166.25 [2164]~E(x21641,x21642)+E(f371(x21643,x21644,x21641,x21645),f371(x21643,x21644,x21642,x21645)) % 166.45/166.25 [2165]~E(x21651,x21652)+E(f371(x21653,x21654,x21655,x21651),f371(x21653,x21654,x21655,x21652)) % 166.45/166.25 [2166]~E(x21661,x21662)+E(f466(x21661,x21663,x21664,x21665),f466(x21662,x21663,x21664,x21665)) % 166.45/166.25 [2167]~E(x21671,x21672)+E(f466(x21673,x21671,x21674,x21675),f466(x21673,x21672,x21674,x21675)) % 166.45/166.25 [2168]~E(x21681,x21682)+E(f466(x21683,x21684,x21681,x21685),f466(x21683,x21684,x21682,x21685)) % 166.45/166.25 [2169]~E(x21691,x21692)+E(f466(x21693,x21694,x21695,x21691),f466(x21693,x21694,x21695,x21692)) % 166.45/166.25 [2170]~E(x21701,x21702)+E(f892(x21701,x21703),f892(x21702,x21703)) % 166.45/166.25 [2171]~E(x21711,x21712)+E(f892(x21713,x21711),f892(x21713,x21712)) % 166.45/166.25 [2172]~E(x21721,x21722)+E(f663(x21721,x21723,x21724,x21725,x21726),f663(x21722,x21723,x21724,x21725,x21726)) % 166.45/166.25 [2173]~E(x21731,x21732)+E(f663(x21733,x21731,x21734,x21735,x21736),f663(x21733,x21732,x21734,x21735,x21736)) % 166.45/166.25 [2174]~E(x21741,x21742)+E(f663(x21743,x21744,x21741,x21745,x21746),f663(x21743,x21744,x21742,x21745,x21746)) % 166.45/166.25 [2175]~E(x21751,x21752)+E(f663(x21753,x21754,x21755,x21751,x21756),f663(x21753,x21754,x21755,x21752,x21756)) % 166.45/166.25 [2176]~E(x21761,x21762)+E(f663(x21763,x21764,x21765,x21766,x21761),f663(x21763,x21764,x21765,x21766,x21762)) % 166.45/166.25 [2177]~E(x21771,x21772)+E(f266(x21771,x21773,x21774,x21775,x21776),f266(x21772,x21773,x21774,x21775,x21776)) % 166.45/166.25 [2178]~E(x21781,x21782)+E(f266(x21783,x21781,x21784,x21785,x21786),f266(x21783,x21782,x21784,x21785,x21786)) % 166.45/166.25 [2179]~E(x21791,x21792)+E(f266(x21793,x21794,x21791,x21795,x21796),f266(x21793,x21794,x21792,x21795,x21796)) % 166.45/166.25 [2180]~E(x21801,x21802)+E(f266(x21803,x21804,x21805,x21801,x21806),f266(x21803,x21804,x21805,x21802,x21806)) % 166.45/166.25 [2181]~E(x21811,x21812)+E(f266(x21813,x21814,x21815,x21816,x21811),f266(x21813,x21814,x21815,x21816,x21812)) % 166.45/166.25 [2182]~E(x21821,x21822)+E(f577(x21821,x21823,x21824,x21825,x21826,x21827),f577(x21822,x21823,x21824,x21825,x21826,x21827)) % 166.45/166.25 [2183]~E(x21831,x21832)+E(f577(x21833,x21831,x21834,x21835,x21836,x21837),f577(x21833,x21832,x21834,x21835,x21836,x21837)) % 166.45/166.25 [2184]~E(x21841,x21842)+E(f577(x21843,x21844,x21841,x21845,x21846,x21847),f577(x21843,x21844,x21842,x21845,x21846,x21847)) % 166.45/166.25 [2185]~E(x21851,x21852)+E(f577(x21853,x21854,x21855,x21851,x21856,x21857),f577(x21853,x21854,x21855,x21852,x21856,x21857)) % 166.45/166.25 [2186]~E(x21861,x21862)+E(f577(x21863,x21864,x21865,x21866,x21861,x21867),f577(x21863,x21864,x21865,x21866,x21862,x21867)) % 166.45/166.25 [2187]~E(x21871,x21872)+E(f577(x21873,x21874,x21875,x21876,x21877,x21871),f577(x21873,x21874,x21875,x21876,x21877,x21872)) % 166.45/166.25 [2188]~E(x21881,x21882)+E(f383(x21881,x21883,x21884),f383(x21882,x21883,x21884)) % 166.45/166.25 [2189]~E(x21891,x21892)+E(f383(x21893,x21891,x21894),f383(x21893,x21892,x21894)) % 166.45/166.25 [2190]~E(x21901,x21902)+E(f383(x21903,x21904,x21901),f383(x21903,x21904,x21902)) % 166.45/166.25 [2191]~E(x21911,x21912)+E(f692(x21911,x21913),f692(x21912,x21913)) % 166.45/166.25 [2192]~E(x21921,x21922)+E(f692(x21923,x21921),f692(x21923,x21922)) % 166.45/166.25 [2193]~E(x21931,x21932)+E(f544(x21931,x21933,x21934,x21935),f544(x21932,x21933,x21934,x21935)) % 166.45/166.25 [2194]~E(x21941,x21942)+E(f544(x21943,x21941,x21944,x21945),f544(x21943,x21942,x21944,x21945)) % 166.45/166.25 [2195]~E(x21951,x21952)+E(f544(x21953,x21954,x21951,x21955),f544(x21953,x21954,x21952,x21955)) % 166.45/166.25 [2196]~E(x21961,x21962)+E(f544(x21963,x21964,x21965,x21961),f544(x21963,x21964,x21965,x21962)) % 166.45/166.25 [2197]~E(x21971,x21972)+E(f735(x21971,x21973,x21974),f735(x21972,x21973,x21974)) % 166.45/166.25 [2198]~E(x21981,x21982)+E(f735(x21983,x21981,x21984),f735(x21983,x21982,x21984)) % 166.45/166.25 [2199]~E(x21991,x21992)+E(f735(x21993,x21994,x21991),f735(x21993,x21994,x21992)) % 166.45/166.25 [2200]~E(x22001,x22002)+E(f754(x22001,x22003),f754(x22002,x22003)) % 166.45/166.25 [2201]~E(x22011,x22012)+E(f754(x22013,x22011),f754(x22013,x22012)) % 166.45/166.25 [2202]~E(x22021,x22022)+E(f889(x22021,x22023),f889(x22022,x22023)) % 166.45/166.25 [2203]~E(x22031,x22032)+E(f889(x22033,x22031),f889(x22033,x22032)) % 166.45/166.25 [2204]~E(x22041,x22042)+E(f410(x22041,x22043,x22044,x22045),f410(x22042,x22043,x22044,x22045)) % 166.45/166.25 [2205]~E(x22051,x22052)+E(f410(x22053,x22051,x22054,x22055),f410(x22053,x22052,x22054,x22055)) % 166.45/166.25 [2206]~E(x22061,x22062)+E(f410(x22063,x22064,x22061,x22065),f410(x22063,x22064,x22062,x22065)) % 166.45/166.25 [2207]~E(x22071,x22072)+E(f410(x22073,x22074,x22075,x22071),f410(x22073,x22074,x22075,x22072)) % 166.45/166.25 [2208]~E(x22081,x22082)+E(f683(x22081,x22083,x22084,x22085),f683(x22082,x22083,x22084,x22085)) % 166.45/166.25 [2209]~E(x22091,x22092)+E(f683(x22093,x22091,x22094,x22095),f683(x22093,x22092,x22094,x22095)) % 166.45/166.25 [2210]~E(x22101,x22102)+E(f683(x22103,x22104,x22101,x22105),f683(x22103,x22104,x22102,x22105)) % 166.45/166.25 [2211]~E(x22111,x22112)+E(f683(x22113,x22114,x22115,x22111),f683(x22113,x22114,x22115,x22112)) % 166.45/166.25 [2212]~E(x22121,x22122)+E(f43(x22121),f43(x22122)) % 166.45/166.25 [2213]~E(x22131,x22132)+E(f274(x22131,x22133),f274(x22132,x22133)) % 166.45/166.25 [2214]~E(x22141,x22142)+E(f274(x22143,x22141),f274(x22143,x22142)) % 166.45/166.25 [2215]~E(x22151,x22152)+E(f370(x22151,x22153,x22154,x22155),f370(x22152,x22153,x22154,x22155)) % 166.45/166.25 [2216]~E(x22161,x22162)+E(f370(x22163,x22161,x22164,x22165),f370(x22163,x22162,x22164,x22165)) % 166.45/166.25 [2217]~E(x22171,x22172)+E(f370(x22173,x22174,x22171,x22175),f370(x22173,x22174,x22172,x22175)) % 166.45/166.25 [2218]~E(x22181,x22182)+E(f370(x22183,x22184,x22185,x22181),f370(x22183,x22184,x22185,x22182)) % 166.45/166.25 [2219]~E(x22191,x22192)+E(f827(x22191,x22193),f827(x22192,x22193)) % 166.45/166.25 [2220]~E(x22201,x22202)+E(f827(x22203,x22201),f827(x22203,x22202)) % 166.45/166.25 [2221]~E(x22211,x22212)+E(f580(x22211,x22213,x22214,x22215),f580(x22212,x22213,x22214,x22215)) % 166.45/166.25 [2222]~E(x22221,x22222)+E(f580(x22223,x22221,x22224,x22225),f580(x22223,x22222,x22224,x22225)) % 166.45/166.25 [2223]~E(x22231,x22232)+E(f580(x22233,x22234,x22231,x22235),f580(x22233,x22234,x22232,x22235)) % 166.45/166.25 [2224]~E(x22241,x22242)+E(f580(x22243,x22244,x22245,x22241),f580(x22243,x22244,x22245,x22242)) % 166.45/166.25 [2225]~E(x22251,x22252)+E(f432(x22251,x22253,x22254,x22255,x22256),f432(x22252,x22253,x22254,x22255,x22256)) % 166.45/166.25 [2226]~E(x22261,x22262)+E(f432(x22263,x22261,x22264,x22265,x22266),f432(x22263,x22262,x22264,x22265,x22266)) % 166.45/166.25 [2227]~E(x22271,x22272)+E(f432(x22273,x22274,x22271,x22275,x22276),f432(x22273,x22274,x22272,x22275,x22276)) % 166.45/166.25 [2228]~E(x22281,x22282)+E(f432(x22283,x22284,x22285,x22281,x22286),f432(x22283,x22284,x22285,x22282,x22286)) % 166.45/166.25 [2229]~E(x22291,x22292)+E(f432(x22293,x22294,x22295,x22296,x22291),f432(x22293,x22294,x22295,x22296,x22292)) % 166.45/166.25 [2230]~E(x22301,x22302)+E(f560(x22301,x22303),f560(x22302,x22303)) % 166.45/166.25 [2231]~E(x22311,x22312)+E(f560(x22313,x22311),f560(x22313,x22312)) % 166.45/166.25 [2232]~E(x22321,x22322)+E(f832(x22321,x22323),f832(x22322,x22323)) % 166.45/166.25 [2233]~E(x22331,x22332)+E(f832(x22333,x22331),f832(x22333,x22332)) % 166.45/166.25 [2234]~E(x22341,x22342)+E(f374(x22341,x22343,x22344),f374(x22342,x22343,x22344)) % 166.45/166.25 [2235]~E(x22351,x22352)+E(f374(x22353,x22351,x22354),f374(x22353,x22352,x22354)) % 166.45/166.25 [2236]~E(x22361,x22362)+E(f374(x22363,x22364,x22361),f374(x22363,x22364,x22362)) % 166.45/166.25 [2237]~E(x22371,x22372)+E(f886(x22371,x22373,x22374),f886(x22372,x22373,x22374)) % 166.45/166.25 [2238]~E(x22381,x22382)+E(f886(x22383,x22381,x22384),f886(x22383,x22382,x22384)) % 166.45/166.25 [2239]~E(x22391,x22392)+E(f886(x22393,x22394,x22391),f886(x22393,x22394,x22392)) % 166.45/166.25 [2240]~E(x22401,x22402)+E(f891(x22401,x22403),f891(x22402,x22403)) % 166.45/166.25 [2241]~E(x22411,x22412)+E(f891(x22413,x22411),f891(x22413,x22412)) % 166.45/166.25 [2242]~E(x22421,x22422)+E(f757(x22421,x22423,x22424,x22425,x22426),f757(x22422,x22423,x22424,x22425,x22426)) % 166.45/166.25 [2243]~E(x22431,x22432)+E(f757(x22433,x22431,x22434,x22435,x22436),f757(x22433,x22432,x22434,x22435,x22436)) % 166.45/166.25 [2244]~E(x22441,x22442)+E(f757(x22443,x22444,x22441,x22445,x22446),f757(x22443,x22444,x22442,x22445,x22446)) % 166.45/166.25 [2245]~E(x22451,x22452)+E(f757(x22453,x22454,x22455,x22451,x22456),f757(x22453,x22454,x22455,x22452,x22456)) % 166.45/166.25 [2246]~E(x22461,x22462)+E(f757(x22463,x22464,x22465,x22466,x22461),f757(x22463,x22464,x22465,x22466,x22462)) % 166.45/166.25 [2247]~E(x22471,x22472)+E(f486(x22471,x22473),f486(x22472,x22473)) % 166.45/166.25 [2248]~E(x22481,x22482)+E(f486(x22483,x22481),f486(x22483,x22482)) % 166.45/166.25 [2249]~E(x22491,x22492)+E(f752(x22491,x22493,x22494,x22495),f752(x22492,x22493,x22494,x22495)) % 166.45/166.25 [2250]~E(x22501,x22502)+E(f752(x22503,x22501,x22504,x22505),f752(x22503,x22502,x22504,x22505)) % 166.45/166.25 [2251]~E(x22511,x22512)+E(f752(x22513,x22514,x22511,x22515),f752(x22513,x22514,x22512,x22515)) % 166.45/166.25 [2252]~E(x22521,x22522)+E(f752(x22523,x22524,x22525,x22521),f752(x22523,x22524,x22525,x22522)) % 166.45/166.25 [2253]~E(x22531,x22532)+E(f756(x22531,x22533,x22534,x22535),f756(x22532,x22533,x22534,x22535)) % 166.45/166.25 [2254]~E(x22541,x22542)+E(f756(x22543,x22541,x22544,x22545),f756(x22543,x22542,x22544,x22545)) % 166.45/166.25 [2255]~E(x22551,x22552)+E(f756(x22553,x22554,x22551,x22555),f756(x22553,x22554,x22552,x22555)) % 166.45/166.25 [2256]~E(x22561,x22562)+E(f756(x22563,x22564,x22565,x22561),f756(x22563,x22564,x22565,x22562)) % 166.45/166.25 [2257]~E(x22571,x22572)+E(f595(x22571,x22573,x22574,x22575,x22576),f595(x22572,x22573,x22574,x22575,x22576)) % 166.45/166.25 [2258]~E(x22581,x22582)+E(f595(x22583,x22581,x22584,x22585,x22586),f595(x22583,x22582,x22584,x22585,x22586)) % 166.45/166.25 [2259]~E(x22591,x22592)+E(f595(x22593,x22594,x22591,x22595,x22596),f595(x22593,x22594,x22592,x22595,x22596)) % 166.45/166.25 [2260]~E(x22601,x22602)+E(f595(x22603,x22604,x22605,x22601,x22606),f595(x22603,x22604,x22605,x22602,x22606)) % 166.45/166.25 [2261]~E(x22611,x22612)+E(f595(x22613,x22614,x22615,x22616,x22611),f595(x22613,x22614,x22615,x22616,x22612)) % 166.45/166.25 [2262]~E(x22621,x22622)+E(f713(x22621,x22623),f713(x22622,x22623)) % 166.45/166.25 [2263]~E(x22631,x22632)+E(f713(x22633,x22631),f713(x22633,x22632)) % 166.45/166.25 [2264]~E(x22641,x22642)+E(f711(x22641,x22643,x22644),f711(x22642,x22643,x22644)) % 166.45/166.25 [2265]~E(x22651,x22652)+E(f711(x22653,x22651,x22654),f711(x22653,x22652,x22654)) % 166.45/166.25 [2266]~E(x22661,x22662)+E(f711(x22663,x22664,x22661),f711(x22663,x22664,x22662)) % 166.45/166.25 [2267]~E(x22671,x22672)+E(f709(x22671,x22673,x22674,x22675),f709(x22672,x22673,x22674,x22675)) % 166.45/166.25 [2268]~E(x22681,x22682)+E(f709(x22683,x22681,x22684,x22685),f709(x22683,x22682,x22684,x22685)) % 166.45/166.25 [2269]~E(x22691,x22692)+E(f709(x22693,x22694,x22691,x22695),f709(x22693,x22694,x22692,x22695)) % 166.45/166.25 [2270]~E(x22701,x22702)+E(f709(x22703,x22704,x22705,x22701),f709(x22703,x22704,x22705,x22702)) % 166.45/166.25 [2271]~E(x22711,x22712)+E(f382(x22711,x22713,x22714,x22715),f382(x22712,x22713,x22714,x22715)) % 166.45/166.25 [2272]~E(x22721,x22722)+E(f382(x22723,x22721,x22724,x22725),f382(x22723,x22722,x22724,x22725)) % 166.45/166.25 [2273]~E(x22731,x22732)+E(f382(x22733,x22734,x22731,x22735),f382(x22733,x22734,x22732,x22735)) % 166.45/166.25 [2274]~E(x22741,x22742)+E(f382(x22743,x22744,x22745,x22741),f382(x22743,x22744,x22745,x22742)) % 166.45/166.25 [2275]~E(x22751,x22752)+E(f771(x22751,x22753,x22754,x22755,x22756),f771(x22752,x22753,x22754,x22755,x22756)) % 166.45/166.25 [2276]~E(x22761,x22762)+E(f771(x22763,x22761,x22764,x22765,x22766),f771(x22763,x22762,x22764,x22765,x22766)) % 166.45/166.25 [2277]~E(x22771,x22772)+E(f771(x22773,x22774,x22771,x22775,x22776),f771(x22773,x22774,x22772,x22775,x22776)) % 166.45/166.25 [2278]~E(x22781,x22782)+E(f771(x22783,x22784,x22785,x22781,x22786),f771(x22783,x22784,x22785,x22782,x22786)) % 166.45/166.25 [2279]~E(x22791,x22792)+E(f771(x22793,x22794,x22795,x22796,x22791),f771(x22793,x22794,x22795,x22796,x22792)) % 166.45/166.25 [2280]~E(x22801,x22802)+E(f531(x22801,x22803,x22804,x22805),f531(x22802,x22803,x22804,x22805)) % 166.45/166.25 [2281]~E(x22811,x22812)+E(f531(x22813,x22811,x22814,x22815),f531(x22813,x22812,x22814,x22815)) % 166.45/166.25 [2282]~E(x22821,x22822)+E(f531(x22823,x22824,x22821,x22825),f531(x22823,x22824,x22822,x22825)) % 166.45/166.25 [2283]~E(x22831,x22832)+E(f531(x22833,x22834,x22835,x22831),f531(x22833,x22834,x22835,x22832)) % 166.45/166.25 [2284]~E(x22841,x22842)+E(f630(x22841,x22843,x22844,x22845,x22846),f630(x22842,x22843,x22844,x22845,x22846)) % 166.45/166.25 [2285]~E(x22851,x22852)+E(f630(x22853,x22851,x22854,x22855,x22856),f630(x22853,x22852,x22854,x22855,x22856)) % 166.45/166.25 [2286]~E(x22861,x22862)+E(f630(x22863,x22864,x22861,x22865,x22866),f630(x22863,x22864,x22862,x22865,x22866)) % 166.45/166.25 [2287]~E(x22871,x22872)+E(f630(x22873,x22874,x22875,x22871,x22876),f630(x22873,x22874,x22875,x22872,x22876)) % 166.45/166.25 [2288]~E(x22881,x22882)+E(f630(x22883,x22884,x22885,x22886,x22881),f630(x22883,x22884,x22885,x22886,x22882)) % 166.45/166.25 [2289]~E(x22891,x22892)+E(f668(x22891,x22893,x22894,x22895),f668(x22892,x22893,x22894,x22895)) % 166.45/166.25 [2290]~E(x22901,x22902)+E(f668(x22903,x22901,x22904,x22905),f668(x22903,x22902,x22904,x22905)) % 166.45/166.25 [2291]~E(x22911,x22912)+E(f668(x22913,x22914,x22911,x22915),f668(x22913,x22914,x22912,x22915)) % 166.45/166.25 [2292]~E(x22921,x22922)+E(f668(x22923,x22924,x22925,x22921),f668(x22923,x22924,x22925,x22922)) % 166.45/166.25 [2293]~E(x22931,x22932)+E(f760(x22931,x22933),f760(x22932,x22933)) % 166.45/166.25 [2294]~E(x22941,x22942)+E(f760(x22943,x22941),f760(x22943,x22942)) % 166.45/166.25 [2295]~E(x22951,x22952)+E(f467(x22951,x22953,x22954),f467(x22952,x22953,x22954)) % 166.45/166.25 [2296]~E(x22961,x22962)+E(f467(x22963,x22961,x22964),f467(x22963,x22962,x22964)) % 166.45/166.25 [2297]~E(x22971,x22972)+E(f467(x22973,x22974,x22971),f467(x22973,x22974,x22972)) % 166.45/166.25 [2298]~E(x22981,x22982)+E(f761(x22981,x22983,x22984),f761(x22982,x22983,x22984)) % 166.45/166.25 [2299]~E(x22991,x22992)+E(f761(x22993,x22991,x22994),f761(x22993,x22992,x22994)) % 166.45/166.25 [2300]~E(x23001,x23002)+E(f761(x23003,x23004,x23001),f761(x23003,x23004,x23002)) % 166.45/166.25 [2301]~E(x23011,x23012)+E(f566(x23011,x23013),f566(x23012,x23013)) % 166.45/166.25 [2302]~E(x23021,x23022)+E(f566(x23023,x23021),f566(x23023,x23022)) % 166.45/166.25 [2303]~E(x23031,x23032)+E(f536(x23031,x23033),f536(x23032,x23033)) % 166.45/166.25 [2304]~E(x23041,x23042)+E(f536(x23043,x23041),f536(x23043,x23042)) % 166.45/166.25 [2305]~E(x23051,x23052)+E(f358(x23051,x23053,x23054,x23055),f358(x23052,x23053,x23054,x23055)) % 166.45/166.25 [2306]~E(x23061,x23062)+E(f358(x23063,x23061,x23064,x23065),f358(x23063,x23062,x23064,x23065)) % 166.45/166.25 [2307]~E(x23071,x23072)+E(f358(x23073,x23074,x23071,x23075),f358(x23073,x23074,x23072,x23075)) % 166.45/166.25 [2308]~E(x23081,x23082)+E(f358(x23083,x23084,x23085,x23081),f358(x23083,x23084,x23085,x23082)) % 166.45/166.25 [2309]~E(x23091,x23092)+E(f572(x23091,x23093,x23094),f572(x23092,x23093,x23094)) % 166.45/166.25 [2310]~E(x23101,x23102)+E(f572(x23103,x23101,x23104),f572(x23103,x23102,x23104)) % 166.45/166.25 [2311]~E(x23111,x23112)+E(f572(x23113,x23114,x23111),f572(x23113,x23114,x23112)) % 166.45/166.25 [2312]~E(x23121,x23122)+E(f241(x23121,x23123),f241(x23122,x23123)) % 166.45/166.25 [2313]~E(x23131,x23132)+E(f241(x23133,x23131),f241(x23133,x23132)) % 166.45/166.25 [2314]~E(x23141,x23142)+E(f689(x23141,x23143,x23144),f689(x23142,x23143,x23144)) % 166.45/166.25 [2315]~E(x23151,x23152)+E(f689(x23153,x23151,x23154),f689(x23153,x23152,x23154)) % 166.45/166.25 [2316]~E(x23161,x23162)+E(f689(x23163,x23164,x23161),f689(x23163,x23164,x23162)) % 166.45/166.25 [2317]~E(x23171,x23172)+E(f741(x23171,x23173),f741(x23172,x23173)) % 166.45/166.25 [2318]~E(x23181,x23182)+E(f741(x23183,x23181),f741(x23183,x23182)) % 166.45/166.25 [2319]~E(x23191,x23192)+E(f793(x23191,x23193,x23194),f793(x23192,x23193,x23194)) % 166.45/166.25 [2320]~E(x23201,x23202)+E(f793(x23203,x23201,x23204),f793(x23203,x23202,x23204)) % 166.45/166.25 [2321]~E(x23211,x23212)+E(f793(x23213,x23214,x23211),f793(x23213,x23214,x23212)) % 166.45/166.25 [2322]~E(x23221,x23222)+E(f361(x23221,x23223,x23224,x23225),f361(x23222,x23223,x23224,x23225)) % 166.45/166.25 [2323]~E(x23231,x23232)+E(f361(x23233,x23231,x23234,x23235),f361(x23233,x23232,x23234,x23235)) % 166.45/166.25 [2324]~E(x23241,x23242)+E(f361(x23243,x23244,x23241,x23245),f361(x23243,x23244,x23242,x23245)) % 166.45/166.25 [2325]~E(x23251,x23252)+E(f361(x23253,x23254,x23255,x23251),f361(x23253,x23254,x23255,x23252)) % 166.45/166.25 [2326]~E(x23261,x23262)+E(f369(x23261,x23263,x23264,x23265),f369(x23262,x23263,x23264,x23265)) % 166.45/166.25 [2327]~E(x23271,x23272)+E(f369(x23273,x23271,x23274,x23275),f369(x23273,x23272,x23274,x23275)) % 166.45/166.25 [2328]~E(x23281,x23282)+E(f369(x23283,x23284,x23281,x23285),f369(x23283,x23284,x23282,x23285)) % 166.45/166.25 [2329]~E(x23291,x23292)+E(f369(x23293,x23294,x23295,x23291),f369(x23293,x23294,x23295,x23292)) % 166.45/166.25 [2330]~E(x23301,x23302)+E(f593(x23301,x23303),f593(x23302,x23303)) % 166.45/166.25 [2331]~E(x23311,x23312)+E(f593(x23313,x23311),f593(x23313,x23312)) % 166.45/166.25 [2332]~E(x23321,x23322)+E(f873(x23321,x23323,x23324,x23325,x23326),f873(x23322,x23323,x23324,x23325,x23326)) % 166.45/166.25 [2333]~E(x23331,x23332)+E(f873(x23333,x23331,x23334,x23335,x23336),f873(x23333,x23332,x23334,x23335,x23336)) % 166.45/166.25 [2334]~E(x23341,x23342)+E(f873(x23343,x23344,x23341,x23345,x23346),f873(x23343,x23344,x23342,x23345,x23346)) % 166.45/166.25 [2335]~E(x23351,x23352)+E(f873(x23353,x23354,x23355,x23351,x23356),f873(x23353,x23354,x23355,x23352,x23356)) % 166.45/166.25 [2336]~E(x23361,x23362)+E(f873(x23363,x23364,x23365,x23366,x23361),f873(x23363,x23364,x23365,x23366,x23362)) % 166.45/166.25 [2337]~E(x23371,x23372)+E(f620(x23371,x23373,x23374,x23375),f620(x23372,x23373,x23374,x23375)) % 166.45/166.25 [2338]~E(x23381,x23382)+E(f620(x23383,x23381,x23384,x23385),f620(x23383,x23382,x23384,x23385)) % 166.45/166.25 [2339]~E(x23391,x23392)+E(f620(x23393,x23394,x23391,x23395),f620(x23393,x23394,x23392,x23395)) % 166.45/166.25 [2340]~E(x23401,x23402)+E(f620(x23403,x23404,x23405,x23401),f620(x23403,x23404,x23405,x23402)) % 166.45/166.25 [2341]~E(x23411,x23412)+E(f510(x23411,x23413),f510(x23412,x23413)) % 166.45/166.25 [2342]~E(x23421,x23422)+E(f510(x23423,x23421),f510(x23423,x23422)) % 166.45/166.25 [2343]~E(x23431,x23432)+E(f530(x23431,x23433,x23434,x23435,x23436),f530(x23432,x23433,x23434,x23435,x23436)) % 166.45/166.25 [2344]~E(x23441,x23442)+E(f530(x23443,x23441,x23444,x23445,x23446),f530(x23443,x23442,x23444,x23445,x23446)) % 166.45/166.25 [2345]~E(x23451,x23452)+E(f530(x23453,x23454,x23451,x23455,x23456),f530(x23453,x23454,x23452,x23455,x23456)) % 166.45/166.25 [2346]~E(x23461,x23462)+E(f530(x23463,x23464,x23465,x23461,x23466),f530(x23463,x23464,x23465,x23462,x23466)) % 166.45/166.25 [2347]~E(x23471,x23472)+E(f530(x23473,x23474,x23475,x23476,x23471),f530(x23473,x23474,x23475,x23476,x23472)) % 166.45/166.25 [2348]~E(x23481,x23482)+E(f470(x23481,x23483,x23484,x23485,x23486),f470(x23482,x23483,x23484,x23485,x23486)) % 166.45/166.25 [2349]~E(x23491,x23492)+E(f470(x23493,x23491,x23494,x23495,x23496),f470(x23493,x23492,x23494,x23495,x23496)) % 166.45/166.25 [2350]~E(x23501,x23502)+E(f470(x23503,x23504,x23501,x23505,x23506),f470(x23503,x23504,x23502,x23505,x23506)) % 166.45/166.25 [2351]~E(x23511,x23512)+E(f470(x23513,x23514,x23515,x23511,x23516),f470(x23513,x23514,x23515,x23512,x23516)) % 166.45/166.25 [2352]~E(x23521,x23522)+E(f470(x23523,x23524,x23525,x23526,x23521),f470(x23523,x23524,x23525,x23526,x23522)) % 166.45/166.25 [2353]~E(x23531,x23532)+E(f726(x23531,x23533,x23534,x23535,x23536),f726(x23532,x23533,x23534,x23535,x23536)) % 166.45/166.25 [2354]~E(x23541,x23542)+E(f726(x23543,x23541,x23544,x23545,x23546),f726(x23543,x23542,x23544,x23545,x23546)) % 166.45/166.25 [2355]~E(x23551,x23552)+E(f726(x23553,x23554,x23551,x23555,x23556),f726(x23553,x23554,x23552,x23555,x23556)) % 166.45/166.25 [2356]~E(x23561,x23562)+E(f726(x23563,x23564,x23565,x23561,x23566),f726(x23563,x23564,x23565,x23562,x23566)) % 166.45/166.25 [2357]~E(x23571,x23572)+E(f726(x23573,x23574,x23575,x23576,x23571),f726(x23573,x23574,x23575,x23576,x23572)) % 166.45/166.25 [2358]~E(x23581,x23582)+E(f539(x23581,x23583,x23584,x23585),f539(x23582,x23583,x23584,x23585)) % 166.45/166.25 [2359]~E(x23591,x23592)+E(f539(x23593,x23591,x23594,x23595),f539(x23593,x23592,x23594,x23595)) % 166.45/166.25 [2360]~E(x23601,x23602)+E(f539(x23603,x23604,x23601,x23605),f539(x23603,x23604,x23602,x23605)) % 166.45/166.25 [2361]~E(x23611,x23612)+E(f539(x23613,x23614,x23615,x23611),f539(x23613,x23614,x23615,x23612)) % 166.45/166.25 [2362]~E(x23621,x23622)+E(f526(x23621),f526(x23622)) % 166.45/166.25 [2363]~E(x23631,x23632)+E(f443(x23631,x23633),f443(x23632,x23633)) % 166.45/166.25 [2364]~E(x23641,x23642)+E(f443(x23643,x23641),f443(x23643,x23642)) % 166.45/166.25 [2365]~E(x23651,x23652)+E(f823(x23651,x23653,x23654,x23655),f823(x23652,x23653,x23654,x23655)) % 166.45/166.25 [2366]~E(x23661,x23662)+E(f823(x23663,x23661,x23664,x23665),f823(x23663,x23662,x23664,x23665)) % 166.45/166.25 [2367]~E(x23671,x23672)+E(f823(x23673,x23674,x23671,x23675),f823(x23673,x23674,x23672,x23675)) % 166.45/166.25 [2368]~E(x23681,x23682)+E(f823(x23683,x23684,x23685,x23681),f823(x23683,x23684,x23685,x23682)) % 166.45/166.25 [2369]~E(x23691,x23692)+E(f779(x23691,x23693,x23694),f779(x23692,x23693,x23694)) % 166.45/166.25 [2370]~E(x23701,x23702)+E(f779(x23703,x23701,x23704),f779(x23703,x23702,x23704)) % 166.45/166.25 [2371]~E(x23711,x23712)+E(f779(x23713,x23714,x23711),f779(x23713,x23714,x23712)) % 166.45/166.25 [2372]~E(x23721,x23722)+E(f553(x23721,x23723,x23724,x23725,x23726),f553(x23722,x23723,x23724,x23725,x23726)) % 166.45/166.25 [2373]~E(x23731,x23732)+E(f553(x23733,x23731,x23734,x23735,x23736),f553(x23733,x23732,x23734,x23735,x23736)) % 166.45/166.25 [2374]~E(x23741,x23742)+E(f553(x23743,x23744,x23741,x23745,x23746),f553(x23743,x23744,x23742,x23745,x23746)) % 166.45/166.25 [2375]~E(x23751,x23752)+E(f553(x23753,x23754,x23755,x23751,x23756),f553(x23753,x23754,x23755,x23752,x23756)) % 166.45/166.25 [2376]~E(x23761,x23762)+E(f553(x23763,x23764,x23765,x23766,x23761),f553(x23763,x23764,x23765,x23766,x23762)) % 166.45/166.25 [2377]~E(x23771,x23772)+E(f574(x23771,x23773,x23774,x23775),f574(x23772,x23773,x23774,x23775)) % 166.45/166.25 [2378]~E(x23781,x23782)+E(f574(x23783,x23781,x23784,x23785),f574(x23783,x23782,x23784,x23785)) % 166.45/166.25 [2379]~E(x23791,x23792)+E(f574(x23793,x23794,x23791,x23795),f574(x23793,x23794,x23792,x23795)) % 166.45/166.25 [2380]~E(x23801,x23802)+E(f574(x23803,x23804,x23805,x23801),f574(x23803,x23804,x23805,x23802)) % 166.45/166.25 [2381]~E(x23811,x23812)+E(f601(x23811,x23813,x23814,x23815),f601(x23812,x23813,x23814,x23815)) % 166.45/166.25 [2382]~E(x23821,x23822)+E(f601(x23823,x23821,x23824,x23825),f601(x23823,x23822,x23824,x23825)) % 166.45/166.25 [2383]~E(x23831,x23832)+E(f601(x23833,x23834,x23831,x23835),f601(x23833,x23834,x23832,x23835)) % 166.45/166.25 [2384]~E(x23841,x23842)+E(f601(x23843,x23844,x23845,x23841),f601(x23843,x23844,x23845,x23842)) % 166.45/166.25 [2385]~E(x23851,x23852)+E(f385(x23851,x23853,x23854),f385(x23852,x23853,x23854)) % 166.45/166.25 [2386]~E(x23861,x23862)+E(f385(x23863,x23861,x23864),f385(x23863,x23862,x23864)) % 166.45/166.25 [2387]~E(x23871,x23872)+E(f385(x23873,x23874,x23871),f385(x23873,x23874,x23872)) % 166.45/166.25 [2388]~E(x23881,x23882)+E(f617(x23881,x23883,x23884,x23885),f617(x23882,x23883,x23884,x23885)) % 166.45/166.25 [2389]~E(x23891,x23892)+E(f617(x23893,x23891,x23894,x23895),f617(x23893,x23892,x23894,x23895)) % 166.45/166.25 [2390]~E(x23901,x23902)+E(f617(x23903,x23904,x23901,x23905),f617(x23903,x23904,x23902,x23905)) % 166.45/166.25 [2391]~E(x23911,x23912)+E(f617(x23913,x23914,x23915,x23911),f617(x23913,x23914,x23915,x23912)) % 166.45/166.25 [2392]~E(x23921,x23922)+E(f127(x23921),f127(x23922)) % 166.45/166.25 [2393]~E(x23931,x23932)+E(f615(x23931,x23933,x23934,x23935),f615(x23932,x23933,x23934,x23935)) % 166.45/166.25 [2394]~E(x23941,x23942)+E(f615(x23943,x23941,x23944,x23945),f615(x23943,x23942,x23944,x23945)) % 166.45/166.25 [2395]~E(x23951,x23952)+E(f615(x23953,x23954,x23951,x23955),f615(x23953,x23954,x23952,x23955)) % 166.45/166.25 [2396]~E(x23961,x23962)+E(f615(x23963,x23964,x23965,x23961),f615(x23963,x23964,x23965,x23962)) % 166.45/166.25 [2397]~E(x23971,x23972)+E(f733(x23971,x23973),f733(x23972,x23973)) % 166.45/166.25 [2398]~E(x23981,x23982)+E(f733(x23983,x23981),f733(x23983,x23982)) % 166.45/166.25 [2399]~E(x23991,x23992)+E(f840(x23991,x23993,x23994),f840(x23992,x23993,x23994)) % 166.45/166.25 [2400]~E(x24001,x24002)+E(f840(x24003,x24001,x24004),f840(x24003,x24002,x24004)) % 166.45/166.25 [2401]~E(x24011,x24012)+E(f840(x24013,x24014,x24011),f840(x24013,x24014,x24012)) % 166.45/166.25 [2402]~E(x24021,x24022)+E(f645(x24021,x24023,x24024,x24025,x24026,x24027,x24028,x24029),f645(x24022,x24023,x24024,x24025,x24026,x24027,x24028,x24029)) % 166.45/166.25 [2403]~E(x24031,x24032)+E(f645(x24033,x24031,x24034,x24035,x24036,x24037,x24038,x24039),f645(x24033,x24032,x24034,x24035,x24036,x24037,x24038,x24039)) % 166.45/166.25 [2404]~E(x24041,x24042)+E(f645(x24043,x24044,x24041,x24045,x24046,x24047,x24048,x24049),f645(x24043,x24044,x24042,x24045,x24046,x24047,x24048,x24049)) % 166.45/166.25 [2405]~E(x24051,x24052)+E(f645(x24053,x24054,x24055,x24051,x24056,x24057,x24058,x24059),f645(x24053,x24054,x24055,x24052,x24056,x24057,x24058,x24059)) % 166.45/166.25 [2406]~E(x24061,x24062)+E(f645(x24063,x24064,x24065,x24066,x24061,x24067,x24068,x24069),f645(x24063,x24064,x24065,x24066,x24062,x24067,x24068,x24069)) % 166.45/166.25 [2407]~E(x24071,x24072)+E(f645(x24073,x24074,x24075,x24076,x24077,x24071,x24078,x24079),f645(x24073,x24074,x24075,x24076,x24077,x24072,x24078,x24079)) % 166.45/166.25 [2408]~E(x24081,x24082)+E(f645(x24083,x24084,x24085,x24086,x24087,x24088,x24081,x24089),f645(x24083,x24084,x24085,x24086,x24087,x24088,x24082,x24089)) % 166.45/166.25 [2409]~E(x24091,x24092)+E(f645(x24093,x24094,x24095,x24096,x24097,x24098,x24099,x24091),f645(x24093,x24094,x24095,x24096,x24097,x24098,x24099,x24092)) % 166.45/166.25 [2410]~E(x24101,x24102)+E(f598(x24101,x24103,x24104,x24105,x24106),f598(x24102,x24103,x24104,x24105,x24106)) % 166.45/166.25 [2411]~E(x24111,x24112)+E(f598(x24113,x24111,x24114,x24115,x24116),f598(x24113,x24112,x24114,x24115,x24116)) % 166.45/166.25 [2412]~E(x24121,x24122)+E(f598(x24123,x24124,x24121,x24125,x24126),f598(x24123,x24124,x24122,x24125,x24126)) % 166.45/166.25 [2413]~E(x24131,x24132)+E(f598(x24133,x24134,x24135,x24131,x24136),f598(x24133,x24134,x24135,x24132,x24136)) % 166.45/166.25 [2414]~E(x24141,x24142)+E(f598(x24143,x24144,x24145,x24146,x24141),f598(x24143,x24144,x24145,x24146,x24142)) % 166.45/166.25 [2415]~E(x24151,x24152)+E(f631(x24151,x24153,x24154,x24155,x24156,x24157,x24158),f631(x24152,x24153,x24154,x24155,x24156,x24157,x24158)) % 166.45/166.25 [2416]~E(x24161,x24162)+E(f631(x24163,x24161,x24164,x24165,x24166,x24167,x24168),f631(x24163,x24162,x24164,x24165,x24166,x24167,x24168)) % 166.45/166.25 [2417]~E(x24171,x24172)+E(f631(x24173,x24174,x24171,x24175,x24176,x24177,x24178),f631(x24173,x24174,x24172,x24175,x24176,x24177,x24178)) % 166.45/166.25 [2418]~E(x24181,x24182)+E(f631(x24183,x24184,x24185,x24181,x24186,x24187,x24188),f631(x24183,x24184,x24185,x24182,x24186,x24187,x24188)) % 166.45/166.25 [2419]~E(x24191,x24192)+E(f631(x24193,x24194,x24195,x24196,x24191,x24197,x24198),f631(x24193,x24194,x24195,x24196,x24192,x24197,x24198)) % 166.45/166.25 [2420]~E(x24201,x24202)+E(f631(x24203,x24204,x24205,x24206,x24207,x24201,x24208),f631(x24203,x24204,x24205,x24206,x24207,x24202,x24208)) % 166.45/166.25 [2421]~E(x24211,x24212)+E(f631(x24213,x24214,x24215,x24216,x24217,x24218,x24211),f631(x24213,x24214,x24215,x24216,x24217,x24218,x24212)) % 166.45/166.25 [2422]~E(x24221,x24222)+E(f409(x24221,x24223,x24224),f409(x24222,x24223,x24224)) % 166.52/166.25 [2423]~E(x24231,x24232)+E(f409(x24233,x24231,x24234),f409(x24233,x24232,x24234)) % 166.52/166.25 [2424]~E(x24241,x24242)+E(f409(x24243,x24244,x24241),f409(x24243,x24244,x24242)) % 166.52/166.25 [2425]~E(x24251,x24252)+E(f684(x24251,x24253,x24254),f684(x24252,x24253,x24254)) % 166.52/166.25 [2426]~E(x24261,x24262)+E(f684(x24263,x24261,x24264),f684(x24263,x24262,x24264)) % 166.52/166.25 [2427]~E(x24271,x24272)+E(f684(x24273,x24274,x24271),f684(x24273,x24274,x24272)) % 166.52/166.25 [2428]~E(x24281,x24282)+E(f354(x24281,x24283,x24284,x24285),f354(x24282,x24283,x24284,x24285)) % 166.52/166.25 [2429]~E(x24291,x24292)+E(f354(x24293,x24291,x24294,x24295),f354(x24293,x24292,x24294,x24295)) % 166.52/166.25 [2430]~E(x24301,x24302)+E(f354(x24303,x24304,x24301,x24305),f354(x24303,x24304,x24302,x24305)) % 166.52/166.25 [2431]~E(x24311,x24312)+E(f354(x24313,x24314,x24315,x24311),f354(x24313,x24314,x24315,x24312)) % 166.52/166.25 [2432]~E(x24321,x24322)+E(f884(x24321,x24323),f884(x24322,x24323)) % 166.52/166.25 [2433]~E(x24331,x24332)+E(f884(x24333,x24331),f884(x24333,x24332)) % 166.52/166.25 [2434]~E(x24341,x24342)+E(f801(x24341,x24343,x24344),f801(x24342,x24343,x24344)) % 166.52/166.25 [2435]~E(x24351,x24352)+E(f801(x24353,x24351,x24354),f801(x24353,x24352,x24354)) % 166.52/166.25 [2436]~E(x24361,x24362)+E(f801(x24363,x24364,x24361),f801(x24363,x24364,x24362)) % 166.52/166.25 [2437]~E(x24371,x24372)+E(f294(x24371,x24373),f294(x24372,x24373)) % 166.52/166.25 [2438]~E(x24381,x24382)+E(f294(x24383,x24381),f294(x24383,x24382)) % 166.52/166.25 [2439]~E(x24391,x24392)+E(f655(x24391,x24393,x24394,x24395,x24396,x24397),f655(x24392,x24393,x24394,x24395,x24396,x24397)) % 166.52/166.25 [2440]~E(x24401,x24402)+E(f655(x24403,x24401,x24404,x24405,x24406,x24407),f655(x24403,x24402,x24404,x24405,x24406,x24407)) % 166.52/166.25 [2441]~E(x24411,x24412)+E(f655(x24413,x24414,x24411,x24415,x24416,x24417),f655(x24413,x24414,x24412,x24415,x24416,x24417)) % 166.52/166.25 [2442]~E(x24421,x24422)+E(f655(x24423,x24424,x24425,x24421,x24426,x24427),f655(x24423,x24424,x24425,x24422,x24426,x24427)) % 166.52/166.25 [2443]~E(x24431,x24432)+E(f655(x24433,x24434,x24435,x24436,x24431,x24437),f655(x24433,x24434,x24435,x24436,x24432,x24437)) % 166.52/166.25 [2444]~E(x24441,x24442)+E(f655(x24443,x24444,x24445,x24446,x24447,x24441),f655(x24443,x24444,x24445,x24446,x24447,x24442)) % 166.52/166.25 [2445]~E(x24451,x24452)+E(f201(x24451,x24453,x24454,x24455),f201(x24452,x24453,x24454,x24455)) % 166.52/166.25 [2446]~E(x24461,x24462)+E(f201(x24463,x24461,x24464,x24465),f201(x24463,x24462,x24464,x24465)) % 166.52/166.25 [2447]~E(x24471,x24472)+E(f201(x24473,x24474,x24471,x24475),f201(x24473,x24474,x24472,x24475)) % 166.52/166.25 [2448]~E(x24481,x24482)+E(f201(x24483,x24484,x24485,x24481),f201(x24483,x24484,x24485,x24482)) % 166.52/166.25 [2449]~E(x24491,x24492)+E(f678(x24491,x24493),f678(x24492,x24493)) % 166.52/166.25 [2450]~E(x24501,x24502)+E(f678(x24503,x24501),f678(x24503,x24502)) % 166.52/166.25 [2451]~E(x24511,x24512)+E(f740(x24511,x24513,x24514),f740(x24512,x24513,x24514)) % 166.52/166.25 [2452]~E(x24521,x24522)+E(f740(x24523,x24521,x24524),f740(x24523,x24522,x24524)) % 166.52/166.25 [2453]~E(x24531,x24532)+E(f740(x24533,x24534,x24531),f740(x24533,x24534,x24532)) % 166.52/166.25 [2454]~E(x24541,x24542)+E(f265(x24541,x24543,x24544,x24545,x24546),f265(x24542,x24543,x24544,x24545,x24546)) % 166.52/166.25 [2455]~E(x24551,x24552)+E(f265(x24553,x24551,x24554,x24555,x24556),f265(x24553,x24552,x24554,x24555,x24556)) % 166.52/166.25 [2456]~E(x24561,x24562)+E(f265(x24563,x24564,x24561,x24565,x24566),f265(x24563,x24564,x24562,x24565,x24566)) % 166.52/166.25 [2457]~E(x24571,x24572)+E(f265(x24573,x24574,x24575,x24571,x24576),f265(x24573,x24574,x24575,x24572,x24576)) % 166.52/166.25 [2458]~E(x24581,x24582)+E(f265(x24583,x24584,x24585,x24586,x24581),f265(x24583,x24584,x24585,x24586,x24582)) % 166.52/166.25 [2459]~E(x24591,x24592)+E(f534(x24591,x24593),f534(x24592,x24593)) % 166.52/166.25 [2460]~E(x24601,x24602)+E(f534(x24603,x24601),f534(x24603,x24602)) % 166.52/166.25 [2461]~E(x24611,x24612)+E(f791(x24611,x24613,x24614,x24615),f791(x24612,x24613,x24614,x24615)) % 166.52/166.25 [2462]~E(x24621,x24622)+E(f791(x24623,x24621,x24624,x24625),f791(x24623,x24622,x24624,x24625)) % 166.52/166.25 [2463]~E(x24631,x24632)+E(f791(x24633,x24634,x24631,x24635),f791(x24633,x24634,x24632,x24635)) % 166.52/166.25 [2464]~E(x24641,x24642)+E(f791(x24643,x24644,x24645,x24641),f791(x24643,x24644,x24645,x24642)) % 166.52/166.25 [2465]~E(x24651,x24652)+E(f463(x24651,x24653,x24654),f463(x24652,x24653,x24654)) % 166.52/166.25 [2466]~E(x24661,x24662)+E(f463(x24663,x24661,x24664),f463(x24663,x24662,x24664)) % 166.52/166.25 [2467]~E(x24671,x24672)+E(f463(x24673,x24674,x24671),f463(x24673,x24674,x24672)) % 166.52/166.25 [2468]~E(x24681,x24682)+E(f491(x24681,x24683,x24684),f491(x24682,x24683,x24684)) % 166.52/166.25 [2469]~E(x24691,x24692)+E(f491(x24693,x24691,x24694),f491(x24693,x24692,x24694)) % 166.52/166.25 [2470]~E(x24701,x24702)+E(f491(x24703,x24704,x24701),f491(x24703,x24704,x24702)) % 166.52/166.25 [2471]~E(x24711,x24712)+E(f614(x24711,x24713,x24714),f614(x24712,x24713,x24714)) % 166.52/166.25 [2472]~E(x24721,x24722)+E(f614(x24723,x24721,x24724),f614(x24723,x24722,x24724)) % 166.52/166.25 [2473]~E(x24731,x24732)+E(f614(x24733,x24734,x24731),f614(x24733,x24734,x24732)) % 166.52/166.25 [2474]~E(x24741,x24742)+E(f594(x24741,x24743,x24744,x24745),f594(x24742,x24743,x24744,x24745)) % 166.52/166.25 [2475]~E(x24751,x24752)+E(f594(x24753,x24751,x24754,x24755),f594(x24753,x24752,x24754,x24755)) % 166.52/166.25 [2476]~E(x24761,x24762)+E(f594(x24763,x24764,x24761,x24765),f594(x24763,x24764,x24762,x24765)) % 166.52/166.25 [2477]~E(x24771,x24772)+E(f594(x24773,x24774,x24775,x24771),f594(x24773,x24774,x24775,x24772)) % 166.52/166.25 [2478]~E(x24781,x24782)+E(f210(x24781,x24783,x24784,x24785),f210(x24782,x24783,x24784,x24785)) % 166.52/166.25 [2479]~E(x24791,x24792)+E(f210(x24793,x24791,x24794,x24795),f210(x24793,x24792,x24794,x24795)) % 166.52/166.25 [2480]~E(x24801,x24802)+E(f210(x24803,x24804,x24801,x24805),f210(x24803,x24804,x24802,x24805)) % 166.52/166.25 [2481]~E(x24811,x24812)+E(f210(x24813,x24814,x24815,x24811),f210(x24813,x24814,x24815,x24812)) % 166.52/166.25 [2482]~E(x24821,x24822)+E(f836(x24821,x24823,x24824,x24825,x24826),f836(x24822,x24823,x24824,x24825,x24826)) % 166.52/166.25 [2483]~E(x24831,x24832)+E(f836(x24833,x24831,x24834,x24835,x24836),f836(x24833,x24832,x24834,x24835,x24836)) % 166.52/166.25 [2484]~E(x24841,x24842)+E(f836(x24843,x24844,x24841,x24845,x24846),f836(x24843,x24844,x24842,x24845,x24846)) % 166.52/166.25 [2485]~E(x24851,x24852)+E(f836(x24853,x24854,x24855,x24851,x24856),f836(x24853,x24854,x24855,x24852,x24856)) % 166.52/166.25 [2486]~E(x24861,x24862)+E(f836(x24863,x24864,x24865,x24866,x24861),f836(x24863,x24864,x24865,x24866,x24862)) % 166.52/166.25 [2487]~E(x24871,x24872)+E(f498(x24871,x24873,x24874),f498(x24872,x24873,x24874)) % 166.52/166.25 [2488]~E(x24881,x24882)+E(f498(x24883,x24881,x24884),f498(x24883,x24882,x24884)) % 166.52/166.25 [2489]~E(x24891,x24892)+E(f498(x24893,x24894,x24891),f498(x24893,x24894,x24892)) % 166.52/166.25 [2490]~E(x24901,x24902)+E(f349(x24901),f349(x24902)) % 166.52/166.25 [2491]~E(x24911,x24912)+E(f97(x24911,x24913,x24914,x24915),f97(x24912,x24913,x24914,x24915)) % 166.52/166.25 [2492]~E(x24921,x24922)+E(f97(x24923,x24921,x24924,x24925),f97(x24923,x24922,x24924,x24925)) % 166.52/166.25 [2493]~E(x24931,x24932)+E(f97(x24933,x24934,x24931,x24935),f97(x24933,x24934,x24932,x24935)) % 166.52/166.25 [2494]~E(x24941,x24942)+E(f97(x24943,x24944,x24945,x24941),f97(x24943,x24944,x24945,x24942)) % 166.52/166.25 [2495]~E(x24951,x24952)+E(f691(x24951,x24953),f691(x24952,x24953)) % 166.52/166.25 [2496]~E(x24961,x24962)+E(f691(x24963,x24961),f691(x24963,x24962)) % 166.52/166.25 [2497]~E(x24971,x24972)+E(f690(x24971,x24973,x24974,x24975),f690(x24972,x24973,x24974,x24975)) % 166.52/166.25 [2498]~E(x24981,x24982)+E(f690(x24983,x24981,x24984,x24985),f690(x24983,x24982,x24984,x24985)) % 166.52/166.25 [2499]~E(x24991,x24992)+E(f690(x24993,x24994,x24991,x24995),f690(x24993,x24994,x24992,x24995)) % 166.52/166.25 [2500]~E(x25001,x25002)+E(f690(x25003,x25004,x25005,x25001),f690(x25003,x25004,x25005,x25002)) % 166.52/166.25 [2501]~E(x25011,x25012)+E(f283(x25011,x25013,x25014,x25015),f283(x25012,x25013,x25014,x25015)) % 166.52/166.25 [2502]~E(x25021,x25022)+E(f283(x25023,x25021,x25024,x25025),f283(x25023,x25022,x25024,x25025)) % 166.52/166.25 [2503]~E(x25031,x25032)+E(f283(x25033,x25034,x25031,x25035),f283(x25033,x25034,x25032,x25035)) % 166.52/166.25 [2504]~E(x25041,x25042)+E(f283(x25043,x25044,x25045,x25041),f283(x25043,x25044,x25045,x25042)) % 166.52/166.25 [2505]~E(x25051,x25052)+E(f460(x25051,x25053),f460(x25052,x25053)) % 166.52/166.25 [2506]~E(x25061,x25062)+E(f460(x25063,x25061),f460(x25063,x25062)) % 166.52/166.25 [2507]~E(x25071,x25072)+E(f276(x25071,x25073,x25074,x25075),f276(x25072,x25073,x25074,x25075)) % 166.52/166.25 [2508]~E(x25081,x25082)+E(f276(x25083,x25081,x25084,x25085),f276(x25083,x25082,x25084,x25085)) % 166.52/166.25 [2509]~E(x25091,x25092)+E(f276(x25093,x25094,x25091,x25095),f276(x25093,x25094,x25092,x25095)) % 166.52/166.25 [2510]~E(x25101,x25102)+E(f276(x25103,x25104,x25105,x25101),f276(x25103,x25104,x25105,x25102)) % 166.52/166.25 [2511]~E(x25111,x25112)+E(f803(x25111,x25113,x25114),f803(x25112,x25113,x25114)) % 166.52/166.25 [2512]~E(x25121,x25122)+E(f803(x25123,x25121,x25124),f803(x25123,x25122,x25124)) % 166.52/166.25 [2513]~E(x25131,x25132)+E(f803(x25133,x25134,x25131),f803(x25133,x25134,x25132)) % 166.52/166.25 [2514]~E(x25141,x25142)+E(f846(x25141,x25143,x25144,x25145,x25146),f846(x25142,x25143,x25144,x25145,x25146)) % 166.52/166.25 [2515]~E(x25151,x25152)+E(f846(x25153,x25151,x25154,x25155,x25156),f846(x25153,x25152,x25154,x25155,x25156)) % 166.52/166.25 [2516]~E(x25161,x25162)+E(f846(x25163,x25164,x25161,x25165,x25166),f846(x25163,x25164,x25162,x25165,x25166)) % 166.52/166.25 [2517]~E(x25171,x25172)+E(f846(x25173,x25174,x25175,x25171,x25176),f846(x25173,x25174,x25175,x25172,x25176)) % 166.52/166.25 [2518]~E(x25181,x25182)+E(f846(x25183,x25184,x25185,x25186,x25181),f846(x25183,x25184,x25185,x25186,x25182)) % 166.52/166.25 [2519]~E(x25191,x25192)+E(f568(x25191,x25193,x25194),f568(x25192,x25193,x25194)) % 166.52/166.25 [2520]~E(x25201,x25202)+E(f568(x25203,x25201,x25204),f568(x25203,x25202,x25204)) % 166.52/166.25 [2521]~E(x25211,x25212)+E(f568(x25213,x25214,x25211),f568(x25213,x25214,x25212)) % 166.52/166.25 [2522]~E(x25221,x25222)+E(f625(x25221,x25223,x25224,x25225,x25226),f625(x25222,x25223,x25224,x25225,x25226)) % 166.52/166.25 [2523]~E(x25231,x25232)+E(f625(x25233,x25231,x25234,x25235,x25236),f625(x25233,x25232,x25234,x25235,x25236)) % 166.52/166.25 [2524]~E(x25241,x25242)+E(f625(x25243,x25244,x25241,x25245,x25246),f625(x25243,x25244,x25242,x25245,x25246)) % 166.52/166.25 [2525]~E(x25251,x25252)+E(f625(x25253,x25254,x25255,x25251,x25256),f625(x25253,x25254,x25255,x25252,x25256)) % 166.52/166.25 [2526]~E(x25261,x25262)+E(f625(x25263,x25264,x25265,x25266,x25261),f625(x25263,x25264,x25265,x25266,x25262)) % 166.52/166.25 [2527]~E(x25271,x25272)+E(f454(x25271,x25273),f454(x25272,x25273)) % 166.52/166.25 [2528]~E(x25281,x25282)+E(f454(x25283,x25281),f454(x25283,x25282)) % 166.52/166.25 [2529]~E(x25291,x25292)+E(f398(x25291,x25293,x25294,x25295,x25296),f398(x25292,x25293,x25294,x25295,x25296)) % 166.52/166.25 [2530]~E(x25301,x25302)+E(f398(x25303,x25301,x25304,x25305,x25306),f398(x25303,x25302,x25304,x25305,x25306)) % 166.52/166.25 [2531]~E(x25311,x25312)+E(f398(x25313,x25314,x25311,x25315,x25316),f398(x25313,x25314,x25312,x25315,x25316)) % 166.52/166.25 [2532]~E(x25321,x25322)+E(f398(x25323,x25324,x25325,x25321,x25326),f398(x25323,x25324,x25325,x25322,x25326)) % 166.52/166.25 [2533]~E(x25331,x25332)+E(f398(x25333,x25334,x25335,x25336,x25331),f398(x25333,x25334,x25335,x25336,x25332)) % 166.52/166.25 [2534]~E(x25341,x25342)+E(f787(x25341,x25343,x25344),f787(x25342,x25343,x25344)) % 166.52/166.25 [2535]~E(x25351,x25352)+E(f787(x25353,x25351,x25354),f787(x25353,x25352,x25354)) % 166.52/166.25 [2536]~E(x25361,x25362)+E(f787(x25363,x25364,x25361),f787(x25363,x25364,x25362)) % 166.52/166.25 [2537]~E(x25371,x25372)+E(f763(x25371,x25373,x25374),f763(x25372,x25373,x25374)) % 166.52/166.25 [2538]~E(x25381,x25382)+E(f763(x25383,x25381,x25384),f763(x25383,x25382,x25384)) % 166.52/166.25 [2539]~E(x25391,x25392)+E(f763(x25393,x25394,x25391),f763(x25393,x25394,x25392)) % 166.52/166.25 [2540]~E(x25401,x25402)+E(f855(x25401,x25403,x25404,x25405,x25406),f855(x25402,x25403,x25404,x25405,x25406)) % 166.52/166.25 [2541]~E(x25411,x25412)+E(f855(x25413,x25411,x25414,x25415,x25416),f855(x25413,x25412,x25414,x25415,x25416)) % 166.52/166.25 [2542]~E(x25421,x25422)+E(f855(x25423,x25424,x25421,x25425,x25426),f855(x25423,x25424,x25422,x25425,x25426)) % 166.52/166.25 [2543]~E(x25431,x25432)+E(f855(x25433,x25434,x25435,x25431,x25436),f855(x25433,x25434,x25435,x25432,x25436)) % 166.52/166.25 [2544]~E(x25441,x25442)+E(f855(x25443,x25444,x25445,x25446,x25441),f855(x25443,x25444,x25445,x25446,x25442)) % 166.52/166.25 [2545]~E(x25451,x25452)+E(f639(x25451,x25453,x25454),f639(x25452,x25453,x25454)) % 166.52/166.25 [2546]~E(x25461,x25462)+E(f639(x25463,x25461,x25464),f639(x25463,x25462,x25464)) % 166.52/166.25 [2547]~E(x25471,x25472)+E(f639(x25473,x25474,x25471),f639(x25473,x25474,x25472)) % 166.52/166.25 [2548]~E(x25481,x25482)+E(f679(x25481,x25483,x25484),f679(x25482,x25483,x25484)) % 166.52/166.25 [2549]~E(x25491,x25492)+E(f679(x25493,x25491,x25494),f679(x25493,x25492,x25494)) % 166.52/166.25 [2550]~E(x25501,x25502)+E(f679(x25503,x25504,x25501),f679(x25503,x25504,x25502)) % 166.52/166.25 [2551]~E(x25511,x25512)+E(f558(x25511,x25513),f558(x25512,x25513)) % 166.52/166.25 [2552]~E(x25521,x25522)+E(f558(x25523,x25521),f558(x25523,x25522)) % 166.52/166.25 [2553]~E(x25531,x25532)+E(f490(x25531,x25533,x25534),f490(x25532,x25533,x25534)) % 166.52/166.25 [2554]~E(x25541,x25542)+E(f490(x25543,x25541,x25544),f490(x25543,x25542,x25544)) % 166.52/166.25 [2555]~E(x25551,x25552)+E(f490(x25553,x25554,x25551),f490(x25553,x25554,x25552)) % 166.52/166.25 [2556]~E(x25561,x25562)+E(f465(x25561,x25563,x25564),f465(x25562,x25563,x25564)) % 166.52/166.25 [2557]~E(x25571,x25572)+E(f465(x25573,x25571,x25574),f465(x25573,x25572,x25574)) % 166.52/166.25 [2558]~E(x25581,x25582)+E(f465(x25583,x25584,x25581),f465(x25583,x25584,x25582)) % 166.52/166.25 [2559]~E(x25591,x25592)+E(f494(x25591,x25593,x25594,x25595),f494(x25592,x25593,x25594,x25595)) % 166.52/166.25 [2560]~E(x25601,x25602)+E(f494(x25603,x25601,x25604,x25605),f494(x25603,x25602,x25604,x25605)) % 166.52/166.25 [2561]~E(x25611,x25612)+E(f494(x25613,x25614,x25611,x25615),f494(x25613,x25614,x25612,x25615)) % 166.52/166.25 [2562]~E(x25621,x25622)+E(f494(x25623,x25624,x25625,x25621),f494(x25623,x25624,x25625,x25622)) % 166.52/166.25 [2563]~E(x25631,x25632)+E(f335(x25631),f335(x25632)) % 166.52/166.25 [2564]~E(x25641,x25642)+E(f251(x25641,x25643,x25644,x25645,x25646,x25647),f251(x25642,x25643,x25644,x25645,x25646,x25647)) % 166.52/166.25 [2565]~E(x25651,x25652)+E(f251(x25653,x25651,x25654,x25655,x25656,x25657),f251(x25653,x25652,x25654,x25655,x25656,x25657)) % 166.52/166.25 [2566]~E(x25661,x25662)+E(f251(x25663,x25664,x25661,x25665,x25666,x25667),f251(x25663,x25664,x25662,x25665,x25666,x25667)) % 166.52/166.25 [2567]~E(x25671,x25672)+E(f251(x25673,x25674,x25675,x25671,x25676,x25677),f251(x25673,x25674,x25675,x25672,x25676,x25677)) % 166.52/166.25 [2568]~E(x25681,x25682)+E(f251(x25683,x25684,x25685,x25686,x25681,x25687),f251(x25683,x25684,x25685,x25686,x25682,x25687)) % 166.52/166.25 [2569]~E(x25691,x25692)+E(f251(x25693,x25694,x25695,x25696,x25697,x25691),f251(x25693,x25694,x25695,x25696,x25697,x25692)) % 166.52/166.25 [2570]~E(x25701,x25702)+E(f727(x25701,x25703,x25704),f727(x25702,x25703,x25704)) % 166.52/166.25 [2571]~E(x25711,x25712)+E(f727(x25713,x25711,x25714),f727(x25713,x25712,x25714)) % 166.52/166.25 [2572]~E(x25721,x25722)+E(f727(x25723,x25724,x25721),f727(x25723,x25724,x25722)) % 166.52/166.25 [2573]~E(x25731,x25732)+E(f347(x25731,x25733),f347(x25732,x25733)) % 166.52/166.25 [2574]~E(x25741,x25742)+E(f347(x25743,x25741),f347(x25743,x25742)) % 166.52/166.25 [2575]~E(x25751,x25752)+E(f21(x25751,x25753),f21(x25752,x25753)) % 166.52/166.25 [2576]~E(x25761,x25762)+E(f21(x25763,x25761),f21(x25763,x25762)) % 166.52/166.25 [2577]~E(x25771,x25772)+E(f802(x25771,x25773,x25774),f802(x25772,x25773,x25774)) % 166.52/166.25 [2578]~E(x25781,x25782)+E(f802(x25783,x25781,x25784),f802(x25783,x25782,x25784)) % 166.52/166.25 [2579]~E(x25791,x25792)+E(f802(x25793,x25794,x25791),f802(x25793,x25794,x25792)) % 166.52/166.25 [2580]~E(x25801,x25802)+E(f575(x25801,x25803,x25804),f575(x25802,x25803,x25804)) % 166.52/166.25 [2581]~E(x25811,x25812)+E(f575(x25813,x25811,x25814),f575(x25813,x25812,x25814)) % 166.52/166.25 [2582]~E(x25821,x25822)+E(f575(x25823,x25824,x25821),f575(x25823,x25824,x25822)) % 166.52/166.25 [2583]~E(x25831,x25832)+E(f605(x25831,x25833,x25834),f605(x25832,x25833,x25834)) % 166.52/166.25 [2584]~E(x25841,x25842)+E(f605(x25843,x25841,x25844),f605(x25843,x25842,x25844)) % 166.52/166.25 [2585]~E(x25851,x25852)+E(f605(x25853,x25854,x25851),f605(x25853,x25854,x25852)) % 166.52/166.25 [2586]~E(x25861,x25862)+E(f408(x25861,x25863),f408(x25862,x25863)) % 166.52/166.25 [2587]~E(x25871,x25872)+E(f408(x25873,x25871),f408(x25873,x25872)) % 166.52/166.25 [2588]~E(x25881,x25882)+E(f471(x25881,x25883,x25884,x25885,x25886),f471(x25882,x25883,x25884,x25885,x25886)) % 166.52/166.25 [2589]~E(x25891,x25892)+E(f471(x25893,x25891,x25894,x25895,x25896),f471(x25893,x25892,x25894,x25895,x25896)) % 166.52/166.25 [2590]~E(x25901,x25902)+E(f471(x25903,x25904,x25901,x25905,x25906),f471(x25903,x25904,x25902,x25905,x25906)) % 166.52/166.25 [2591]~E(x25911,x25912)+E(f471(x25913,x25914,x25915,x25911,x25916),f471(x25913,x25914,x25915,x25912,x25916)) % 166.52/166.25 [2592]~E(x25921,x25922)+E(f471(x25923,x25924,x25925,x25926,x25921),f471(x25923,x25924,x25925,x25926,x25922)) % 166.52/166.25 [2593]~E(x25931,x25932)+E(f635(x25931,x25933,x25934,x25935,x25936),f635(x25932,x25933,x25934,x25935,x25936)) % 166.52/166.25 [2594]~E(x25941,x25942)+E(f635(x25943,x25941,x25944,x25945,x25946),f635(x25943,x25942,x25944,x25945,x25946)) % 166.52/166.25 [2595]~E(x25951,x25952)+E(f635(x25953,x25954,x25951,x25955,x25956),f635(x25953,x25954,x25952,x25955,x25956)) % 166.52/166.25 [2596]~E(x25961,x25962)+E(f635(x25963,x25964,x25965,x25961,x25966),f635(x25963,x25964,x25965,x25962,x25966)) % 166.52/166.25 [2597]~E(x25971,x25972)+E(f635(x25973,x25974,x25975,x25976,x25971),f635(x25973,x25974,x25975,x25976,x25972)) % 166.52/166.25 [2598]~E(x25981,x25982)+E(f813(x25981),f813(x25982)) % 166.52/166.25 [2599]~E(x25991,x25992)+E(f816(x25991,x25993),f816(x25992,x25993)) % 166.52/166.25 [2600]~E(x26001,x26002)+E(f816(x26003,x26001),f816(x26003,x26002)) % 166.52/166.25 [2601]~E(x26011,x26012)+E(f461(x26011,x26013),f461(x26012,x26013)) % 166.52/166.25 [2602]~E(x26021,x26022)+E(f461(x26023,x26021),f461(x26023,x26022)) % 166.52/166.25 [2603]~E(x26031,x26032)+E(f527(x26031,x26033),f527(x26032,x26033)) % 166.52/166.25 [2604]~E(x26041,x26042)+E(f527(x26043,x26041),f527(x26043,x26042)) % 166.52/166.25 [2605]~E(x26051,x26052)+E(f570(x26051,x26053,x26054),f570(x26052,x26053,x26054)) % 166.52/166.25 [2606]~E(x26061,x26062)+E(f570(x26063,x26061,x26064),f570(x26063,x26062,x26064)) % 166.52/166.25 [2607]~E(x26071,x26072)+E(f570(x26073,x26074,x26071),f570(x26073,x26074,x26072)) % 166.52/166.25 [2608]~E(x26081,x26082)+E(f773(x26081,x26083,x26084,x26085,x26086),f773(x26082,x26083,x26084,x26085,x26086)) % 166.52/166.25 [2609]~E(x26091,x26092)+E(f773(x26093,x26091,x26094,x26095,x26096),f773(x26093,x26092,x26094,x26095,x26096)) % 166.52/166.25 [2610]~E(x26101,x26102)+E(f773(x26103,x26104,x26101,x26105,x26106),f773(x26103,x26104,x26102,x26105,x26106)) % 166.52/166.25 [2611]~E(x26111,x26112)+E(f773(x26113,x26114,x26115,x26111,x26116),f773(x26113,x26114,x26115,x26112,x26116)) % 166.52/166.25 [2612]~E(x26121,x26122)+E(f773(x26123,x26124,x26125,x26126,x26121),f773(x26123,x26124,x26125,x26126,x26122)) % 166.52/166.25 [2613]~E(x26131,x26132)+E(f765(x26131,x26133,x26134,x26135),f765(x26132,x26133,x26134,x26135)) % 166.52/166.25 [2614]~E(x26141,x26142)+E(f765(x26143,x26141,x26144,x26145),f765(x26143,x26142,x26144,x26145)) % 166.52/166.25 [2615]~E(x26151,x26152)+E(f765(x26153,x26154,x26151,x26155),f765(x26153,x26154,x26152,x26155)) % 166.52/166.25 [2616]~E(x26161,x26162)+E(f765(x26163,x26164,x26165,x26161),f765(x26163,x26164,x26165,x26162)) % 166.52/166.25 [2617]~E(x26171,x26172)+E(f834(x26171,x26173,x26174,x26175,x26176),f834(x26172,x26173,x26174,x26175,x26176)) % 166.52/166.25 [2618]~E(x26181,x26182)+E(f834(x26183,x26181,x26184,x26185,x26186),f834(x26183,x26182,x26184,x26185,x26186)) % 166.52/166.25 [2619]~E(x26191,x26192)+E(f834(x26193,x26194,x26191,x26195,x26196),f834(x26193,x26194,x26192,x26195,x26196)) % 166.52/166.25 [2620]~E(x26201,x26202)+E(f834(x26203,x26204,x26205,x26201,x26206),f834(x26203,x26204,x26205,x26202,x26206)) % 166.52/166.25 [2621]~E(x26211,x26212)+E(f834(x26213,x26214,x26215,x26216,x26211),f834(x26213,x26214,x26215,x26216,x26212)) % 166.52/166.25 [2622]~E(x26221,x26222)+E(f380(x26221,x26223,x26224,x26225),f380(x26222,x26223,x26224,x26225)) % 166.52/166.25 [2623]~E(x26231,x26232)+E(f380(x26233,x26231,x26234,x26235),f380(x26233,x26232,x26234,x26235)) % 166.52/166.25 [2624]~E(x26241,x26242)+E(f380(x26243,x26244,x26241,x26245),f380(x26243,x26244,x26242,x26245)) % 166.52/166.25 [2625]~E(x26251,x26252)+E(f380(x26253,x26254,x26255,x26251),f380(x26253,x26254,x26255,x26252)) % 166.52/166.25 [2626]~E(x26261,x26262)+E(f405(x26261,x26263),f405(x26262,x26263)) % 166.52/166.25 [2627]~E(x26271,x26272)+E(f405(x26273,x26271),f405(x26273,x26272)) % 166.52/166.25 [2628]~E(x26281,x26282)+E(f204(x26281),f204(x26282)) % 166.52/166.25 [2629]~E(x26291,x26292)+E(f427(x26291,x26293,x26294,x26295,x26296),f427(x26292,x26293,x26294,x26295,x26296)) % 166.52/166.25 [2630]~E(x26301,x26302)+E(f427(x26303,x26301,x26304,x26305,x26306),f427(x26303,x26302,x26304,x26305,x26306)) % 166.52/166.25 [2631]~E(x26311,x26312)+E(f427(x26313,x26314,x26311,x26315,x26316),f427(x26313,x26314,x26312,x26315,x26316)) % 166.52/166.25 [2632]~E(x26321,x26322)+E(f427(x26323,x26324,x26325,x26321,x26326),f427(x26323,x26324,x26325,x26322,x26326)) % 166.52/166.25 [2633]~E(x26331,x26332)+E(f427(x26333,x26334,x26335,x26336,x26331),f427(x26333,x26334,x26335,x26336,x26332)) % 166.52/166.25 [2634]~E(x26341,x26342)+E(f785(x26341,x26343,x26344),f785(x26342,x26343,x26344)) % 166.52/166.25 [2635]~E(x26351,x26352)+E(f785(x26353,x26351,x26354),f785(x26353,x26352,x26354)) % 166.52/166.25 [2636]~E(x26361,x26362)+E(f785(x26363,x26364,x26361),f785(x26363,x26364,x26362)) % 166.52/166.25 [2637]~E(x26371,x26372)+E(f19(x26371,x26373,x26374,x26375),f19(x26372,x26373,x26374,x26375)) % 166.52/166.25 [2638]~E(x26381,x26382)+E(f19(x26383,x26381,x26384,x26385),f19(x26383,x26382,x26384,x26385)) % 166.52/166.25 [2639]~E(x26391,x26392)+E(f19(x26393,x26394,x26391,x26395),f19(x26393,x26394,x26392,x26395)) % 166.52/166.25 [2640]~E(x26401,x26402)+E(f19(x26403,x26404,x26405,x26401),f19(x26403,x26404,x26405,x26402)) % 166.52/166.25 [2641]~E(x26411,x26412)+E(f798(x26411,x26413,x26414,x26415,x26416),f798(x26412,x26413,x26414,x26415,x26416)) % 166.52/166.25 [2642]~E(x26421,x26422)+E(f798(x26423,x26421,x26424,x26425,x26426),f798(x26423,x26422,x26424,x26425,x26426)) % 166.52/166.25 [2643]~E(x26431,x26432)+E(f798(x26433,x26434,x26431,x26435,x26436),f798(x26433,x26434,x26432,x26435,x26436)) % 166.52/166.25 [2644]~E(x26441,x26442)+E(f798(x26443,x26444,x26445,x26441,x26446),f798(x26443,x26444,x26445,x26442,x26446)) % 166.52/166.25 [2645]~E(x26451,x26452)+E(f798(x26453,x26454,x26455,x26456,x26451),f798(x26453,x26454,x26455,x26456,x26452)) % 166.52/166.25 [2646]~E(x26461,x26462)+E(f388(x26461),f388(x26462)) % 166.52/166.25 [2647]~E(x26471,x26472)+E(f296(x26471,x26473,x26474),f296(x26472,x26473,x26474)) % 166.52/166.25 [2648]~E(x26481,x26482)+E(f296(x26483,x26481,x26484),f296(x26483,x26482,x26484)) % 166.52/166.25 [2649]~E(x26491,x26492)+E(f296(x26493,x26494,x26491),f296(x26493,x26494,x26492)) % 166.52/166.25 [2650]~E(x26501,x26502)+E(f799(x26501,x26503,x26504,x26505),f799(x26502,x26503,x26504,x26505)) % 166.52/166.25 [2651]~E(x26511,x26512)+E(f799(x26513,x26511,x26514,x26515),f799(x26513,x26512,x26514,x26515)) % 166.52/166.25 [2652]~E(x26521,x26522)+E(f799(x26523,x26524,x26521,x26525),f799(x26523,x26524,x26522,x26525)) % 166.52/166.25 [2653]~E(x26531,x26532)+E(f799(x26533,x26534,x26535,x26531),f799(x26533,x26534,x26535,x26532)) % 166.52/166.25 [2654]~E(x26541,x26542)+E(f372(x26541,x26543),f372(x26542,x26543)) % 166.52/166.25 [2655]~E(x26551,x26552)+E(f372(x26553,x26551),f372(x26553,x26552)) % 166.52/166.25 [2656]~E(x26561,x26562)+E(f218(x26561,x26563),f218(x26562,x26563)) % 166.52/166.25 [2657]~E(x26571,x26572)+E(f218(x26573,x26571),f218(x26573,x26572)) % 166.52/166.25 [2658]~E(x26581,x26582)+E(f434(x26581,x26583,x26584),f434(x26582,x26583,x26584)) % 166.52/166.25 [2659]~E(x26591,x26592)+E(f434(x26593,x26591,x26594),f434(x26593,x26592,x26594)) % 166.52/166.25 [2660]~E(x26601,x26602)+E(f434(x26603,x26604,x26601),f434(x26603,x26604,x26602)) % 166.52/166.25 [2661]~E(x26611,x26612)+E(f513(x26611,x26613,x26614),f513(x26612,x26613,x26614)) % 166.52/166.25 [2662]~E(x26621,x26622)+E(f513(x26623,x26621,x26624),f513(x26623,x26622,x26624)) % 166.52/166.25 [2663]~E(x26631,x26632)+E(f513(x26633,x26634,x26631),f513(x26633,x26634,x26632)) % 166.52/166.25 [2664]~E(x26641,x26642)+E(f419(x26641,x26643,x26644,x26645),f419(x26642,x26643,x26644,x26645)) % 166.52/166.25 [2665]~E(x26651,x26652)+E(f419(x26653,x26651,x26654,x26655),f419(x26653,x26652,x26654,x26655)) % 166.52/166.25 [2666]~E(x26661,x26662)+E(f419(x26663,x26664,x26661,x26665),f419(x26663,x26664,x26662,x26665)) % 166.52/166.25 [2667]~E(x26671,x26672)+E(f419(x26673,x26674,x26675,x26671),f419(x26673,x26674,x26675,x26672)) % 166.52/166.25 [2668]~E(x26681,x26682)+E(f252(x26681,x26683,x26684),f252(x26682,x26683,x26684)) % 166.52/166.25 [2669]~E(x26691,x26692)+E(f252(x26693,x26691,x26694),f252(x26693,x26692,x26694)) % 166.52/166.25 [2670]~E(x26701,x26702)+E(f252(x26703,x26704,x26701),f252(x26703,x26704,x26702)) % 166.52/166.25 [2671]~E(x26711,x26712)+E(f351(x26711,x26713),f351(x26712,x26713)) % 166.52/166.25 [2672]~E(x26721,x26722)+E(f351(x26723,x26721),f351(x26723,x26722)) % 166.52/166.25 [2673]~E(x26731,x26732)+E(f344(x26731,x26733,x26734,x26735,x26736),f344(x26732,x26733,x26734,x26735,x26736)) % 166.52/166.25 [2674]~E(x26741,x26742)+E(f344(x26743,x26741,x26744,x26745,x26746),f344(x26743,x26742,x26744,x26745,x26746)) % 166.52/166.25 [2675]~E(x26751,x26752)+E(f344(x26753,x26754,x26751,x26755,x26756),f344(x26753,x26754,x26752,x26755,x26756)) % 166.52/166.25 [2676]~E(x26761,x26762)+E(f344(x26763,x26764,x26765,x26761,x26766),f344(x26763,x26764,x26765,x26762,x26766)) % 166.52/166.25 [2677]~E(x26771,x26772)+E(f344(x26773,x26774,x26775,x26776,x26771),f344(x26773,x26774,x26775,x26776,x26772)) % 166.52/166.25 [2678]~E(x26781,x26782)+E(f421(x26781,x26783,x26784,x26785),f421(x26782,x26783,x26784,x26785)) % 166.52/166.25 [2679]~E(x26791,x26792)+E(f421(x26793,x26791,x26794,x26795),f421(x26793,x26792,x26794,x26795)) % 166.52/166.25 [2680]~E(x26801,x26802)+E(f421(x26803,x26804,x26801,x26805),f421(x26803,x26804,x26802,x26805)) % 166.52/166.25 [2681]~E(x26811,x26812)+E(f421(x26813,x26814,x26815,x26811),f421(x26813,x26814,x26815,x26812)) % 166.52/166.25 [2682]~E(x26821,x26822)+E(f610(x26821,x26823),f610(x26822,x26823)) % 166.52/166.25 [2683]~E(x26831,x26832)+E(f610(x26833,x26831),f610(x26833,x26832)) % 166.52/166.25 [2684]~E(x26841,x26842)+E(f444(x26841,x26843,x26844),f444(x26842,x26843,x26844)) % 166.52/166.25 [2685]~E(x26851,x26852)+E(f444(x26853,x26851,x26854),f444(x26853,x26852,x26854)) % 166.52/166.25 [2686]~E(x26861,x26862)+E(f444(x26863,x26864,x26861),f444(x26863,x26864,x26862)) % 166.52/166.25 [2687]~E(x26871,x26872)+E(f794(x26871,x26873,x26874,x26875),f794(x26872,x26873,x26874,x26875)) % 166.52/166.25 [2688]~E(x26881,x26882)+E(f794(x26883,x26881,x26884,x26885),f794(x26883,x26882,x26884,x26885)) % 166.52/166.25 [2689]~E(x26891,x26892)+E(f794(x26893,x26894,x26891,x26895),f794(x26893,x26894,x26892,x26895)) % 166.52/166.25 [2690]~E(x26901,x26902)+E(f794(x26903,x26904,x26905,x26901),f794(x26903,x26904,x26905,x26902)) % 166.52/166.25 [2691]~E(x26911,x26912)+E(f226(x26911,x26913,x26914),f226(x26912,x26913,x26914)) % 166.52/166.25 [2692]~E(x26921,x26922)+E(f226(x26923,x26921,x26924),f226(x26923,x26922,x26924)) % 166.52/166.25 [2693]~E(x26931,x26932)+E(f226(x26933,x26934,x26931),f226(x26933,x26934,x26932)) % 166.52/166.25 [2694]~E(x26941,x26942)+E(f864(x26941,x26943),f864(x26942,x26943)) % 166.52/166.25 [2695]~E(x26951,x26952)+E(f864(x26953,x26951),f864(x26953,x26952)) % 166.52/166.25 [2696]~E(x26961,x26962)+E(f703(x26961,x26963,x26964,x26965,x26966),f703(x26962,x26963,x26964,x26965,x26966)) % 166.52/166.25 [2697]~E(x26971,x26972)+E(f703(x26973,x26971,x26974,x26975,x26976),f703(x26973,x26972,x26974,x26975,x26976)) % 166.52/166.25 [2698]~E(x26981,x26982)+E(f703(x26983,x26984,x26981,x26985,x26986),f703(x26983,x26984,x26982,x26985,x26986)) % 166.52/166.25 [2699]~E(x26991,x26992)+E(f703(x26993,x26994,x26995,x26991,x26996),f703(x26993,x26994,x26995,x26992,x26996)) % 166.52/166.25 [2700]~E(x27001,x27002)+E(f703(x27003,x27004,x27005,x27006,x27001),f703(x27003,x27004,x27005,x27006,x27002)) % 166.52/166.25 [2701]~E(x27011,x27012)+E(f340(x27011),f340(x27012)) % 166.52/166.25 [2702]~E(x27021,x27022)+E(f502(x27021,x27023,x27024),f502(x27022,x27023,x27024)) % 166.52/166.25 [2703]~E(x27031,x27032)+E(f502(x27033,x27031,x27034),f502(x27033,x27032,x27034)) % 166.52/166.25 [2704]~E(x27041,x27042)+E(f502(x27043,x27044,x27041),f502(x27043,x27044,x27042)) % 166.52/166.25 [2705]~E(x27051,x27052)+E(f458(x27051,x27053,x27054),f458(x27052,x27053,x27054)) % 166.52/166.25 [2706]~E(x27061,x27062)+E(f458(x27063,x27061,x27064),f458(x27063,x27062,x27064)) % 166.52/166.25 [2707]~E(x27071,x27072)+E(f458(x27073,x27074,x27071),f458(x27073,x27074,x27072)) % 166.52/166.25 [2708]~E(x27081,x27082)+E(f504(x27081,x27083),f504(x27082,x27083)) % 166.52/166.25 [2709]~E(x27091,x27092)+E(f504(x27093,x27091),f504(x27093,x27092)) % 166.52/166.25 [2710]~E(x27101,x27102)+E(f211(x27101,x27103,x27104,x27105,x27106,x27107,x27108),f211(x27102,x27103,x27104,x27105,x27106,x27107,x27108)) % 166.52/166.25 [2711]~E(x27111,x27112)+E(f211(x27113,x27111,x27114,x27115,x27116,x27117,x27118),f211(x27113,x27112,x27114,x27115,x27116,x27117,x27118)) % 166.52/166.25 [2712]~E(x27121,x27122)+E(f211(x27123,x27124,x27121,x27125,x27126,x27127,x27128),f211(x27123,x27124,x27122,x27125,x27126,x27127,x27128)) % 166.52/166.25 [2713]~E(x27131,x27132)+E(f211(x27133,x27134,x27135,x27131,x27136,x27137,x27138),f211(x27133,x27134,x27135,x27132,x27136,x27137,x27138)) % 166.52/166.25 [2714]~E(x27141,x27142)+E(f211(x27143,x27144,x27145,x27146,x27141,x27147,x27148),f211(x27143,x27144,x27145,x27146,x27142,x27147,x27148)) % 166.52/166.25 [2715]~E(x27151,x27152)+E(f211(x27153,x27154,x27155,x27156,x27157,x27151,x27158),f211(x27153,x27154,x27155,x27156,x27157,x27152,x27158)) % 166.52/166.25 [2716]~E(x27161,x27162)+E(f211(x27163,x27164,x27165,x27166,x27167,x27168,x27161),f211(x27163,x27164,x27165,x27166,x27167,x27168,x27162)) % 166.52/166.25 [2717]~E(x27171,x27172)+E(f352(x27171,x27173),f352(x27172,x27173)) % 166.52/166.25 [2718]~E(x27181,x27182)+E(f352(x27183,x27181),f352(x27183,x27182)) % 166.52/166.25 [2719]~E(x27191,x27192)+E(f831(x27191),f831(x27192)) % 166.52/166.25 [2720]~E(x27201,x27202)+E(f890(x27201),f890(x27202)) % 166.52/166.25 [2721]~E(x27211,x27212)+E(f98(x27211,x27213,x27214,x27215),f98(x27212,x27213,x27214,x27215)) % 166.52/166.25 [2722]~E(x27221,x27222)+E(f98(x27223,x27221,x27224,x27225),f98(x27223,x27222,x27224,x27225)) % 166.52/166.25 [2723]~E(x27231,x27232)+E(f98(x27233,x27234,x27231,x27235),f98(x27233,x27234,x27232,x27235)) % 166.52/166.25 [2724]~E(x27241,x27242)+E(f98(x27243,x27244,x27245,x27241),f98(x27243,x27244,x27245,x27242)) % 166.52/166.25 [2725]~E(x27251,x27252)+E(f545(x27251,x27253),f545(x27252,x27253)) % 166.52/166.25 [2726]~E(x27261,x27262)+E(f545(x27263,x27261),f545(x27263,x27262)) % 166.52/166.25 [2727]~E(x27271,x27272)+E(f777(x27271,x27273,x27274),f777(x27272,x27273,x27274)) % 166.52/166.25 [2728]~E(x27281,x27282)+E(f777(x27283,x27281,x27284),f777(x27283,x27282,x27284)) % 166.52/166.25 [2729]~E(x27291,x27292)+E(f777(x27293,x27294,x27291),f777(x27293,x27294,x27292)) % 166.52/166.25 [2730]~E(x27301,x27302)+E(f368(x27301,x27303,x27304,x27305),f368(x27302,x27303,x27304,x27305)) % 166.52/166.25 [2731]~E(x27311,x27312)+E(f368(x27313,x27311,x27314,x27315),f368(x27313,x27312,x27314,x27315)) % 166.52/166.25 [2732]~E(x27321,x27322)+E(f368(x27323,x27324,x27321,x27325),f368(x27323,x27324,x27322,x27325)) % 166.52/166.25 [2733]~E(x27331,x27332)+E(f368(x27333,x27334,x27335,x27331),f368(x27333,x27334,x27335,x27332)) % 166.52/166.25 [2734]~E(x27341,x27342)+E(f282(x27341,x27343,x27344,x27345),f282(x27342,x27343,x27344,x27345)) % 166.52/166.25 [2735]~E(x27351,x27352)+E(f282(x27353,x27351,x27354,x27355),f282(x27353,x27352,x27354,x27355)) % 166.52/166.25 [2736]~E(x27361,x27362)+E(f282(x27363,x27364,x27361,x27365),f282(x27363,x27364,x27362,x27365)) % 166.52/166.25 [2737]~E(x27371,x27372)+E(f282(x27373,x27374,x27375,x27371),f282(x27373,x27374,x27375,x27372)) % 166.52/166.25 [2738]~E(x27381,x27382)+E(f533(x27381,x27383,x27384),f533(x27382,x27383,x27384)) % 166.52/166.25 [2739]~E(x27391,x27392)+E(f533(x27393,x27391,x27394),f533(x27393,x27392,x27394)) % 166.52/166.25 [2740]~E(x27401,x27402)+E(f533(x27403,x27404,x27401),f533(x27403,x27404,x27402)) % 166.52/166.25 [2741]~P1(x27411)+P1(x27412)+~E(x27411,x27412) % 166.52/166.25 [2742]~P2(x27421)+P2(x27422)+~E(x27421,x27422) % 166.52/166.25 [2743]~P105(x27431)+P105(x27432)+~E(x27431,x27432) % 166.52/166.25 [2744]~P118(x27441)+P118(x27442)+~E(x27441,x27442) % 166.52/166.25 [2745]~P104(x27451)+P104(x27452)+~E(x27451,x27452) % 166.52/166.25 [2746]~P117(x27461)+P117(x27462)+~E(x27461,x27462) % 166.52/166.25 [2747]P150(x27472,x27473,x27474)+~E(x27471,x27472)+~P150(x27471,x27473,x27474) % 166.52/166.25 [2748]P150(x27483,x27482,x27484)+~E(x27481,x27482)+~P150(x27483,x27481,x27484) % 166.52/166.25 [2749]P150(x27493,x27494,x27492)+~E(x27491,x27492)+~P150(x27493,x27494,x27491) % 166.52/166.25 [2750]~P113(x27501)+P113(x27502)+~E(x27501,x27502) % 166.52/166.25 [2751]P12(x27512,x27513)+~E(x27511,x27512)+~P12(x27511,x27513) % 166.52/166.25 [2752]P12(x27523,x27522)+~E(x27521,x27522)+~P12(x27523,x27521) % 166.52/166.25 [2753]~P97(x27531)+P97(x27532)+~E(x27531,x27532) % 166.52/166.25 [2754]P19(x27542,x27543,x27544,x27545)+~E(x27541,x27542)+~P19(x27541,x27543,x27544,x27545) % 166.52/166.25 [2755]P19(x27553,x27552,x27554,x27555)+~E(x27551,x27552)+~P19(x27553,x27551,x27554,x27555) % 166.52/166.25 [2756]P19(x27563,x27564,x27562,x27565)+~E(x27561,x27562)+~P19(x27563,x27564,x27561,x27565) % 166.52/166.25 [2757]P19(x27573,x27574,x27575,x27572)+~E(x27571,x27572)+~P19(x27573,x27574,x27575,x27571) % 166.52/166.25 [2758]~P112(x27581)+P112(x27582)+~E(x27581,x27582) % 166.52/166.25 [2759]~P137(x27591)+P137(x27592)+~E(x27591,x27592) % 166.52/166.25 [2760]P55(x27602,x27603,x27604)+~E(x27601,x27602)+~P55(x27601,x27603,x27604) % 166.52/166.25 [2761]P55(x27613,x27612,x27614)+~E(x27611,x27612)+~P55(x27613,x27611,x27614) % 166.52/166.25 [2762]P55(x27623,x27624,x27622)+~E(x27621,x27622)+~P55(x27623,x27624,x27621) % 166.52/166.25 [2763]~P72(x27631)+P72(x27632)+~E(x27631,x27632) % 166.52/166.25 [2764]P24(x27642,x27643,x27644,x27645)+~E(x27641,x27642)+~P24(x27641,x27643,x27644,x27645) % 166.52/166.25 [2765]P24(x27653,x27652,x27654,x27655)+~E(x27651,x27652)+~P24(x27653,x27651,x27654,x27655) % 166.52/166.25 [2766]P24(x27663,x27664,x27662,x27665)+~E(x27661,x27662)+~P24(x27663,x27664,x27661,x27665) % 166.52/166.25 [2767]P24(x27673,x27674,x27675,x27672)+~E(x27671,x27672)+~P24(x27673,x27674,x27675,x27671) % 166.52/166.25 [2768]~P80(x27681)+P80(x27682)+~E(x27681,x27682) % 166.52/166.25 [2769]~P148(x27691)+P148(x27692)+~E(x27691,x27692) % 166.52/166.25 [2770]~P129(x27701)+P129(x27702)+~E(x27701,x27702) % 166.52/166.25 [2771]~P106(x27711)+P106(x27712)+~E(x27711,x27712) % 166.52/166.25 [2772]~P4(x27721)+P4(x27722)+~E(x27721,x27722) % 166.52/166.25 [2773]P23(x27732,x27733,x27734)+~E(x27731,x27732)+~P23(x27731,x27733,x27734) % 166.52/166.25 [2774]P23(x27743,x27742,x27744)+~E(x27741,x27742)+~P23(x27743,x27741,x27744) % 166.52/166.25 [2775]P23(x27753,x27754,x27752)+~E(x27751,x27752)+~P23(x27753,x27754,x27751) % 166.52/166.25 [2776]~P3(x27761)+P3(x27762)+~E(x27761,x27762) % 166.52/166.25 [2777]P32(x27772,x27773,x27774,x27775)+~E(x27771,x27772)+~P32(x27771,x27773,x27774,x27775) % 166.52/166.25 [2778]P32(x27783,x27782,x27784,x27785)+~E(x27781,x27782)+~P32(x27783,x27781,x27784,x27785) % 166.52/166.25 [2779]P32(x27793,x27794,x27792,x27795)+~E(x27791,x27792)+~P32(x27793,x27794,x27791,x27795) % 166.52/166.25 [2780]P32(x27803,x27804,x27805,x27802)+~E(x27801,x27802)+~P32(x27803,x27804,x27805,x27801) % 166.52/166.25 [2781]~P108(x27811)+P108(x27812)+~E(x27811,x27812) % 166.52/166.25 [2782]P14(x27822,x27823)+~E(x27821,x27822)+~P14(x27821,x27823) % 166.52/166.25 [2783]P14(x27833,x27832)+~E(x27831,x27832)+~P14(x27833,x27831) % 166.52/166.25 [2784]~P65(x27841)+P65(x27842)+~E(x27841,x27842) % 166.52/166.25 [2785]~P114(x27851)+P114(x27852)+~E(x27851,x27852) % 166.52/166.25 [2786]~P66(x27861)+P66(x27862)+~E(x27861,x27862) % 166.52/166.25 [2787]~P98(x27871)+P98(x27872)+~E(x27871,x27872) % 166.52/166.25 [2788]~P5(x27881)+P5(x27882)+~E(x27881,x27882) % 166.52/166.25 [2789]P149(x27892,x27893,x27894)+~E(x27891,x27892)+~P149(x27891,x27893,x27894) % 166.52/166.25 [2790]P149(x27903,x27902,x27904)+~E(x27901,x27902)+~P149(x27903,x27901,x27904) % 166.52/166.25 [2791]P149(x27913,x27914,x27912)+~E(x27911,x27912)+~P149(x27913,x27914,x27911) % 166.52/166.25 [2792]~P83(x27921)+P83(x27922)+~E(x27921,x27922) % 166.52/166.25 [2793]~P67(x27931)+P67(x27932)+~E(x27931,x27932) % 166.52/166.25 [2794]~P68(x27941)+P68(x27942)+~E(x27941,x27942) % 166.52/166.25 [2795]~P87(x27951)+P87(x27952)+~E(x27951,x27952) % 166.52/166.25 [2796]~P74(x27961)+P74(x27962)+~E(x27961,x27962) % 166.52/166.25 [2797]P59(x27972,x27973,x27974,x27975,x27976)+~E(x27971,x27972)+~P59(x27971,x27973,x27974,x27975,x27976) % 166.52/166.25 [2798]P59(x27983,x27982,x27984,x27985,x27986)+~E(x27981,x27982)+~P59(x27983,x27981,x27984,x27985,x27986) % 166.52/166.25 [2799]P59(x27993,x27994,x27992,x27995,x27996)+~E(x27991,x27992)+~P59(x27993,x27994,x27991,x27995,x27996) % 166.52/166.25 [2800]P59(x28003,x28004,x28005,x28002,x28006)+~E(x28001,x28002)+~P59(x28003,x28004,x28005,x28001,x28006) % 166.52/166.25 [2801]P59(x28013,x28014,x28015,x28016,x28012)+~E(x28011,x28012)+~P59(x28013,x28014,x28015,x28016,x28011) % 166.52/166.25 [2802]P42(x28022,x28023,x28024,x28025)+~E(x28021,x28022)+~P42(x28021,x28023,x28024,x28025) % 166.52/166.25 [2803]P42(x28033,x28032,x28034,x28035)+~E(x28031,x28032)+~P42(x28033,x28031,x28034,x28035) % 166.52/166.25 [2804]P42(x28043,x28044,x28042,x28045)+~E(x28041,x28042)+~P42(x28043,x28044,x28041,x28045) % 166.52/166.25 [2805]P42(x28053,x28054,x28055,x28052)+~E(x28051,x28052)+~P42(x28053,x28054,x28055,x28051) % 166.52/166.25 [2806]P31(x28062,x28063,x28064)+~E(x28061,x28062)+~P31(x28061,x28063,x28064) % 166.52/166.25 [2807]P31(x28073,x28072,x28074)+~E(x28071,x28072)+~P31(x28073,x28071,x28074) % 166.52/166.25 [2808]P31(x28083,x28084,x28082)+~E(x28081,x28082)+~P31(x28083,x28084,x28081) % 166.52/166.25 [2809]~P63(x28091)+P63(x28092)+~E(x28091,x28092) % 166.52/166.25 [2810]P37(x28102,x28103)+~E(x28101,x28102)+~P37(x28101,x28103) % 166.52/166.25 [2811]P37(x28113,x28112)+~E(x28111,x28112)+~P37(x28113,x28111) % 166.52/166.25 [2812]~P116(x28121)+P116(x28122)+~E(x28121,x28122) % 166.52/166.25 [2813]~P88(x28131)+P88(x28132)+~E(x28131,x28132) % 166.52/166.25 [2814]~P78(x28141)+P78(x28142)+~E(x28141,x28142) % 166.52/166.25 [2815]~P107(x28151)+P107(x28152)+~E(x28151,x28152) % 166.52/166.25 [2816]~P41(x28161)+P41(x28162)+~E(x28161,x28162) % 166.52/166.25 [2817]P62(x28172,x28173)+~E(x28171,x28172)+~P62(x28171,x28173) % 166.52/166.25 [2818]P62(x28183,x28182)+~E(x28181,x28182)+~P62(x28183,x28181) % 166.52/166.25 [2819]~P124(x28191)+P124(x28192)+~E(x28191,x28192) % 166.52/166.25 [2820]~P102(x28201)+P102(x28202)+~E(x28201,x28202) % 166.52/166.25 [2821]P25(x28212,x28213,x28214,x28215,x28216)+~E(x28211,x28212)+~P25(x28211,x28213,x28214,x28215,x28216) % 166.52/166.25 [2822]P25(x28223,x28222,x28224,x28225,x28226)+~E(x28221,x28222)+~P25(x28223,x28221,x28224,x28225,x28226) % 166.52/166.25 [2823]P25(x28233,x28234,x28232,x28235,x28236)+~E(x28231,x28232)+~P25(x28233,x28234,x28231,x28235,x28236) % 166.52/166.25 [2824]P25(x28243,x28244,x28245,x28242,x28246)+~E(x28241,x28242)+~P25(x28243,x28244,x28245,x28241,x28246) % 166.52/166.25 [2825]P25(x28253,x28254,x28255,x28256,x28252)+~E(x28251,x28252)+~P25(x28253,x28254,x28255,x28256,x28251) % 166.52/166.25 [2826]P58(x28262,x28263,x28264)+~E(x28261,x28262)+~P58(x28261,x28263,x28264) % 166.52/166.25 [2827]P58(x28273,x28272,x28274)+~E(x28271,x28272)+~P58(x28273,x28271,x28274) % 166.52/166.25 [2828]P58(x28283,x28284,x28282)+~E(x28281,x28282)+~P58(x28283,x28284,x28281) % 166.52/166.25 [2829]~P69(x28291)+P69(x28292)+~E(x28291,x28292) % 166.52/166.25 [2830]P26(x28302,x28303)+~E(x28301,x28302)+~P26(x28301,x28303) % 166.52/166.25 [2831]P26(x28313,x28312)+~E(x28311,x28312)+~P26(x28313,x28311) % 166.52/166.25 [2832]~P90(x28321)+P90(x28322)+~E(x28321,x28322) % 166.52/166.25 [2833]P33(x28332,x28333,x28334)+~E(x28331,x28332)+~P33(x28331,x28333,x28334) % 166.52/166.25 [2834]P33(x28343,x28342,x28344)+~E(x28341,x28342)+~P33(x28343,x28341,x28344) % 166.52/166.25 [2835]P33(x28353,x28354,x28352)+~E(x28351,x28352)+~P33(x28353,x28354,x28351) % 166.52/166.25 [2836]~P73(x28361)+P73(x28362)+~E(x28361,x28362) % 166.52/166.25 [2837]~P91(x28371)+P91(x28372)+~E(x28371,x28372) % 166.52/166.25 [2838]P40(x28382,x28383,x28384)+~E(x28381,x28382)+~P40(x28381,x28383,x28384) % 166.52/166.25 [2839]P40(x28393,x28392,x28394)+~E(x28391,x28392)+~P40(x28393,x28391,x28394) % 166.52/166.25 [2840]P40(x28403,x28404,x28402)+~E(x28401,x28402)+~P40(x28403,x28404,x28401) % 166.52/166.25 [2841]P61(x28412,x28413,x28414,x28415)+~E(x28411,x28412)+~P61(x28411,x28413,x28414,x28415) % 166.52/166.25 [2842]P61(x28423,x28422,x28424,x28425)+~E(x28421,x28422)+~P61(x28423,x28421,x28424,x28425) % 166.52/166.25 [2843]P61(x28433,x28434,x28432,x28435)+~E(x28431,x28432)+~P61(x28433,x28434,x28431,x28435) % 166.52/166.25 [2844]P61(x28443,x28444,x28445,x28442)+~E(x28441,x28442)+~P61(x28443,x28444,x28445,x28441) % 166.52/166.25 [2845]~P75(x28451)+P75(x28452)+~E(x28451,x28452) % 166.52/166.25 [2846]~P96(x28461)+P96(x28462)+~E(x28461,x28462) % 166.52/166.25 [2847]P34(x28472,x28473,x28474,x28475,x28476)+~E(x28471,x28472)+~P34(x28471,x28473,x28474,x28475,x28476) % 166.52/166.25 [2848]P34(x28483,x28482,x28484,x28485,x28486)+~E(x28481,x28482)+~P34(x28483,x28481,x28484,x28485,x28486) % 166.52/166.25 [2849]P34(x28493,x28494,x28492,x28495,x28496)+~E(x28491,x28492)+~P34(x28493,x28494,x28491,x28495,x28496) % 166.52/166.25 [2850]P34(x28503,x28504,x28505,x28502,x28506)+~E(x28501,x28502)+~P34(x28503,x28504,x28505,x28501,x28506) % 166.52/166.25 [2851]P34(x28513,x28514,x28515,x28516,x28512)+~E(x28511,x28512)+~P34(x28513,x28514,x28515,x28516,x28511) % 166.52/166.25 [2852]~P76(x28521)+P76(x28522)+~E(x28521,x28522) % 166.52/166.25 [2853]~P70(x28531)+P70(x28532)+~E(x28531,x28532) % 166.52/166.25 [2854]~P93(x28541)+P93(x28542)+~E(x28541,x28542) % 166.52/166.25 [2855]~P77(x28551)+P77(x28552)+~E(x28551,x28552) % 166.52/166.25 [2856]P7(x28562,x28563,x28564)+~E(x28561,x28562)+~P7(x28561,x28563,x28564) % 166.52/166.25 [2857]P7(x28573,x28572,x28574)+~E(x28571,x28572)+~P7(x28573,x28571,x28574) % 166.52/166.25 [2858]P7(x28583,x28584,x28582)+~E(x28581,x28582)+~P7(x28583,x28584,x28581) % 166.52/166.25 [2859]~P142(x28591)+P142(x28592)+~E(x28591,x28592) % 166.52/166.25 [2860]~P92(x28601)+P92(x28602)+~E(x28601,x28602) % 166.52/166.25 [2861]~P130(x28611)+P130(x28612)+~E(x28611,x28612) % 166.52/166.25 [2862]~P141(x28621)+P141(x28622)+~E(x28621,x28622) % 166.52/166.25 [2863]~P84(x28631)+P84(x28632)+~E(x28631,x28632) % 166.52/166.25 [2864]~P132(x28641)+P132(x28642)+~E(x28641,x28642) % 166.52/166.25 [2865]P16(x28652,x28653,x28654)+~E(x28651,x28652)+~P16(x28651,x28653,x28654) % 166.52/166.25 [2866]P16(x28663,x28662,x28664)+~E(x28661,x28662)+~P16(x28663,x28661,x28664) % 166.52/166.25 [2867]P16(x28673,x28674,x28672)+~E(x28671,x28672)+~P16(x28673,x28674,x28671) % 166.52/166.25 [2868]~P81(x28681)+P81(x28682)+~E(x28681,x28682) % 166.52/166.25 [2869]~P89(x28691)+P89(x28692)+~E(x28691,x28692) % 166.52/166.25 [2870]~P127(x28701)+P127(x28702)+~E(x28701,x28702) % 166.52/166.25 [2871]P29(x28712,x28713)+~E(x28711,x28712)+~P29(x28711,x28713) % 166.52/166.25 [2872]P29(x28723,x28722)+~E(x28721,x28722)+~P29(x28723,x28721) % 166.52/166.25 [2873]P35(x28732,x28733,x28734)+~E(x28731,x28732)+~P35(x28731,x28733,x28734) % 166.52/166.25 [2874]P35(x28743,x28742,x28744)+~E(x28741,x28742)+~P35(x28743,x28741,x28744) % 166.52/166.25 [2875]P35(x28753,x28754,x28752)+~E(x28751,x28752)+~P35(x28753,x28754,x28751) % 166.52/166.25 [2876]P27(x28762,x28763,x28764)+~E(x28761,x28762)+~P27(x28761,x28763,x28764) % 166.52/166.25 [2877]P27(x28773,x28772,x28774)+~E(x28771,x28772)+~P27(x28773,x28771,x28774) % 166.52/166.25 [2878]P27(x28783,x28784,x28782)+~E(x28781,x28782)+~P27(x28783,x28784,x28781) % 166.52/166.25 [2879]P54(x28792,x28793)+~E(x28791,x28792)+~P54(x28791,x28793) % 166.52/166.25 [2880]P54(x28803,x28802)+~E(x28801,x28802)+~P54(x28803,x28801) % 166.52/166.25 [2881]P48(x28812,x28813,x28814)+~E(x28811,x28812)+~P48(x28811,x28813,x28814) % 166.52/166.25 [2882]P48(x28823,x28822,x28824)+~E(x28821,x28822)+~P48(x28823,x28821,x28824) % 166.52/166.25 [2883]P48(x28833,x28834,x28832)+~E(x28831,x28832)+~P48(x28833,x28834,x28831) % 166.52/166.25 [2884]~P85(x28841)+P85(x28842)+~E(x28841,x28842) % 166.52/166.25 [2885]~P71(x28851)+P71(x28852)+~E(x28851,x28852) % 166.52/166.25 [2886]P13(x28862,x28863,x28864)+~E(x28861,x28862)+~P13(x28861,x28863,x28864) % 166.52/166.25 [2887]P13(x28873,x28872,x28874)+~E(x28871,x28872)+~P13(x28873,x28871,x28874) % 166.52/166.25 [2888]P13(x28883,x28884,x28882)+~E(x28881,x28882)+~P13(x28883,x28884,x28881) % 166.52/166.25 [2889]P38(x28892,x28893)+~E(x28891,x28892)+~P38(x28891,x28893) % 166.52/166.25 [2890]P38(x28903,x28902)+~E(x28901,x28902)+~P38(x28903,x28901) % 166.52/166.25 [2891]P22(x28912,x28913,x28914,x28915,x28916,x28917)+~E(x28911,x28912)+~P22(x28911,x28913,x28914,x28915,x28916,x28917) % 166.52/166.25 [2892]P22(x28923,x28922,x28924,x28925,x28926,x28927)+~E(x28921,x28922)+~P22(x28923,x28921,x28924,x28925,x28926,x28927) % 166.52/166.25 [2893]P22(x28933,x28934,x28932,x28935,x28936,x28937)+~E(x28931,x28932)+~P22(x28933,x28934,x28931,x28935,x28936,x28937) % 166.52/166.25 [2894]P22(x28943,x28944,x28945,x28942,x28946,x28947)+~E(x28941,x28942)+~P22(x28943,x28944,x28945,x28941,x28946,x28947) % 166.52/166.25 [2895]P22(x28953,x28954,x28955,x28956,x28952,x28957)+~E(x28951,x28952)+~P22(x28953,x28954,x28955,x28956,x28951,x28957) % 166.52/166.25 [2896]P22(x28963,x28964,x28965,x28966,x28967,x28962)+~E(x28961,x28962)+~P22(x28963,x28964,x28965,x28966,x28967,x28961) % 166.52/166.25 [2897]~P140(x28971)+P140(x28972)+~E(x28971,x28972) % 166.52/166.25 [2898]~P121(x28981)+P121(x28982)+~E(x28981,x28982) % 166.52/166.25 [2899]P17(x28992,x28993,x28994)+~E(x28991,x28992)+~P17(x28991,x28993,x28994) % 166.52/166.25 [2900]P17(x29003,x29002,x29004)+~E(x29001,x29002)+~P17(x29003,x29001,x29004) % 166.52/166.25 [2901]P17(x29013,x29014,x29012)+~E(x29011,x29012)+~P17(x29013,x29014,x29011) % 166.52/166.25 [2902]~P128(x29021)+P128(x29022)+~E(x29021,x29022) % 166.52/166.25 [2903]~P147(x29031)+P147(x29032)+~E(x29031,x29032) % 166.52/166.25 [2904]~P136(x29041)+P136(x29042)+~E(x29041,x29042) % 166.52/166.25 [2905]P57(x29052,x29053,x29054)+~E(x29051,x29052)+~P57(x29051,x29053,x29054) % 166.52/166.25 [2906]P57(x29063,x29062,x29064)+~E(x29061,x29062)+~P57(x29063,x29061,x29064) % 166.52/166.25 [2907]P57(x29073,x29074,x29072)+~E(x29071,x29072)+~P57(x29073,x29074,x29071) % 166.52/166.25 [2908]~P133(x29081)+P133(x29082)+~E(x29081,x29082) % 166.52/166.25 [2909]P39(x29092,x29093)+~E(x29091,x29092)+~P39(x29091,x29093) % 166.52/166.25 [2910]P39(x29103,x29102)+~E(x29101,x29102)+~P39(x29103,x29101) % 166.52/166.25 [2911]~P110(x29111)+P110(x29112)+~E(x29111,x29112) % 166.52/166.25 [2912]P20(x29122,x29123,x29124,x29125,x29126)+~E(x29121,x29122)+~P20(x29121,x29123,x29124,x29125,x29126) % 166.52/166.25 [2913]P20(x29133,x29132,x29134,x29135,x29136)+~E(x29131,x29132)+~P20(x29133,x29131,x29134,x29135,x29136) % 166.52/166.25 [2914]P20(x29143,x29144,x29142,x29145,x29146)+~E(x29141,x29142)+~P20(x29143,x29144,x29141,x29145,x29146) % 166.52/166.25 [2915]P20(x29153,x29154,x29155,x29152,x29156)+~E(x29151,x29152)+~P20(x29153,x29154,x29155,x29151,x29156) % 166.52/166.25 [2916]P20(x29163,x29164,x29165,x29166,x29162)+~E(x29161,x29162)+~P20(x29163,x29164,x29165,x29166,x29161) % 166.52/166.25 [2917]P15(x29172,x29173,x29174)+~E(x29171,x29172)+~P15(x29171,x29173,x29174) % 166.52/166.25 [2918]P15(x29183,x29182,x29184)+~E(x29181,x29182)+~P15(x29183,x29181,x29184) % 166.52/166.25 [2919]P15(x29193,x29194,x29192)+~E(x29191,x29192)+~P15(x29193,x29194,x29191) % 166.52/166.25 [2920]P6(x29202,x29203)+~E(x29201,x29202)+~P6(x29201,x29203) % 166.52/166.25 [2921]P6(x29213,x29212)+~E(x29211,x29212)+~P6(x29213,x29211) % 166.52/166.25 [2922]P18(x29222,x29223,x29224,x29225)+~E(x29221,x29222)+~P18(x29221,x29223,x29224,x29225) % 166.52/166.25 [2923]P18(x29233,x29232,x29234,x29235)+~E(x29231,x29232)+~P18(x29233,x29231,x29234,x29235) % 166.52/166.25 [2924]P18(x29243,x29244,x29242,x29245)+~E(x29241,x29242)+~P18(x29243,x29244,x29241,x29245) % 166.52/166.25 [2925]P18(x29253,x29254,x29255,x29252)+~E(x29251,x29252)+~P18(x29253,x29254,x29255,x29251) % 166.52/166.25 [2926]~P143(x29261)+P143(x29262)+~E(x29261,x29262) % 166.52/166.25 [2927]~P131(x29271)+P131(x29272)+~E(x29271,x29272) % 166.52/166.25 [2928]~P99(x29281)+P99(x29282)+~E(x29281,x29282) % 166.52/166.25 [2929]~P144(x29291)+P144(x29292)+~E(x29291,x29292) % 166.52/166.25 [2930]~P145(x29301)+P145(x29302)+~E(x29301,x29302) % 166.52/166.25 [2931]P52(x29312,x29313)+~E(x29311,x29312)+~P52(x29311,x29313) % 166.52/166.25 [2932]P52(x29323,x29322)+~E(x29321,x29322)+~P52(x29323,x29321) % 166.52/166.25 [2933]~P120(x29331)+P120(x29332)+~E(x29331,x29332) % 166.52/166.25 [2934]~P119(x29341)+P119(x29342)+~E(x29341,x29342) % 166.52/166.25 [2935]~P46(x29351)+P46(x29352)+~E(x29351,x29352) % 166.52/166.25 [2936]P50(x29362,x29363)+~E(x29361,x29362)+~P50(x29361,x29363) % 166.52/166.25 [2937]P50(x29373,x29372)+~E(x29371,x29372)+~P50(x29373,x29371) % 166.52/166.25 [2938]~P86(x29381)+P86(x29382)+~E(x29381,x29382) % 166.52/166.25 [2939]~P109(x29391)+P109(x29392)+~E(x29391,x29392) % 166.52/166.25 [2940]P56(x29402,x29403)+~E(x29401,x29402)+~P56(x29401,x29403) % 166.52/166.25 [2941]P56(x29413,x29412)+~E(x29411,x29412)+~P56(x29413,x29411) % 166.52/166.25 [2942]~P146(x29421)+P146(x29422)+~E(x29421,x29422) % 166.52/166.25 [2943]P60(x29432,x29433)+~E(x29431,x29432)+~P60(x29431,x29433) % 166.52/166.25 [2944]P60(x29443,x29442)+~E(x29441,x29442)+~P60(x29443,x29441) % 166.52/166.25 [2945]~P94(x29451)+P94(x29452)+~E(x29451,x29452) % 166.52/166.25 [2946]~P36(x29461)+P36(x29462)+~E(x29461,x29462) % 166.52/166.25 [2947]~P115(x29471)+P115(x29472)+~E(x29471,x29472) % 166.52/166.25 [2948]P28(x29482,x29483,x29484)+~E(x29481,x29482)+~P28(x29481,x29483,x29484) % 166.52/166.25 [2949]P28(x29493,x29492,x29494)+~E(x29491,x29492)+~P28(x29493,x29491,x29494) % 166.52/166.25 [2950]P28(x29503,x29504,x29502)+~E(x29501,x29502)+~P28(x29503,x29504,x29501) % 166.52/166.25 [2951]~P101(x29511)+P101(x29512)+~E(x29511,x29512) % 166.52/166.25 [2952]~P82(x29521)+P82(x29522)+~E(x29521,x29522) % 166.52/166.25 [2953]P53(x29532,x29533)+~E(x29531,x29532)+~P53(x29531,x29533) % 166.52/166.25 [2954]P53(x29543,x29542)+~E(x29541,x29542)+~P53(x29543,x29541) % 166.52/166.25 [2955]~P139(x29551)+P139(x29552)+~E(x29551,x29552) % 166.52/166.25 [2956]~P103(x29561)+P103(x29562)+~E(x29561,x29562) % 166.52/166.25 [2957]P10(x29572,x29573,x29574,x29575)+~E(x29571,x29572)+~P10(x29571,x29573,x29574,x29575) % 166.52/166.25 [2958]P10(x29583,x29582,x29584,x29585)+~E(x29581,x29582)+~P10(x29583,x29581,x29584,x29585) % 166.52/166.25 [2959]P10(x29593,x29594,x29592,x29595)+~E(x29591,x29592)+~P10(x29593,x29594,x29591,x29595) % 166.52/166.25 [2960]P10(x29603,x29604,x29605,x29602)+~E(x29601,x29602)+~P10(x29603,x29604,x29605,x29601) % 166.52/166.25 [2961]~P138(x29611)+P138(x29612)+~E(x29611,x29612) % 166.52/166.25 [2962]P44(x29622,x29623,x29624,x29625,x29626,x29627)+~E(x29621,x29622)+~P44(x29621,x29623,x29624,x29625,x29626,x29627) % 166.52/166.25 [2963]P44(x29633,x29632,x29634,x29635,x29636,x29637)+~E(x29631,x29632)+~P44(x29633,x29631,x29634,x29635,x29636,x29637) % 166.52/166.25 [2964]P44(x29643,x29644,x29642,x29645,x29646,x29647)+~E(x29641,x29642)+~P44(x29643,x29644,x29641,x29645,x29646,x29647) % 166.52/166.25 [2965]P44(x29653,x29654,x29655,x29652,x29656,x29657)+~E(x29651,x29652)+~P44(x29653,x29654,x29655,x29651,x29656,x29657) % 166.52/166.25 [2966]P44(x29663,x29664,x29665,x29666,x29662,x29667)+~E(x29661,x29662)+~P44(x29663,x29664,x29665,x29666,x29661,x29667) % 166.52/166.25 [2967]P44(x29673,x29674,x29675,x29676,x29677,x29672)+~E(x29671,x29672)+~P44(x29673,x29674,x29675,x29676,x29677,x29671) % 166.52/166.25 [2968]P30(x29682,x29683,x29684)+~E(x29681,x29682)+~P30(x29681,x29683,x29684) % 166.52/166.25 [2969]P30(x29693,x29692,x29694)+~E(x29691,x29692)+~P30(x29693,x29691,x29694) % 166.52/166.25 [2970]P30(x29703,x29704,x29702)+~E(x29701,x29702)+~P30(x29703,x29704,x29701) % 166.52/166.25 [2971]P8(x29712,x29713,x29714)+~E(x29711,x29712)+~P8(x29711,x29713,x29714) % 166.52/166.25 [2972]P8(x29723,x29722,x29724)+~E(x29721,x29722)+~P8(x29723,x29721,x29724) % 166.52/166.25 [2973]P8(x29733,x29734,x29732)+~E(x29731,x29732)+~P8(x29733,x29734,x29731) % 166.52/166.25 [2974]~P126(x29741)+P126(x29742)+~E(x29741,x29742) % 166.52/166.25 [2975]~P100(x29751)+P100(x29752)+~E(x29751,x29752) % 166.52/166.25 [2976]~P122(x29761)+P122(x29762)+~E(x29761,x29762) % 166.52/166.25 [2977]P43(x29772,x29773,x29774,x29775)+~E(x29771,x29772)+~P43(x29771,x29773,x29774,x29775) % 166.52/166.25 [2978]P43(x29783,x29782,x29784,x29785)+~E(x29781,x29782)+~P43(x29783,x29781,x29784,x29785) % 166.52/166.25 [2979]P43(x29793,x29794,x29792,x29795)+~E(x29791,x29792)+~P43(x29793,x29794,x29791,x29795) % 166.52/166.25 [2980]P43(x29803,x29804,x29805,x29802)+~E(x29801,x29802)+~P43(x29803,x29804,x29805,x29801) % 166.52/166.25 [2981]P11(x29812,x29813,x29814,x29815,x29816,x29817)+~E(x29811,x29812)+~P11(x29811,x29813,x29814,x29815,x29816,x29817) % 166.52/166.25 [2982]P11(x29823,x29822,x29824,x29825,x29826,x29827)+~E(x29821,x29822)+~P11(x29823,x29821,x29824,x29825,x29826,x29827) % 166.52/166.25 [2983]P11(x29833,x29834,x29832,x29835,x29836,x29837)+~E(x29831,x29832)+~P11(x29833,x29834,x29831,x29835,x29836,x29837) % 166.52/166.25 [2984]P11(x29843,x29844,x29845,x29842,x29846,x29847)+~E(x29841,x29842)+~P11(x29843,x29844,x29845,x29841,x29846,x29847) % 166.52/166.25 [2985]P11(x29853,x29854,x29855,x29856,x29852,x29857)+~E(x29851,x29852)+~P11(x29853,x29854,x29855,x29856,x29851,x29857) % 166.52/166.25 [2986]P11(x29863,x29864,x29865,x29866,x29867,x29862)+~E(x29861,x29862)+~P11(x29863,x29864,x29865,x29866,x29867,x29861) % 166.52/166.25 [2987]~P123(x29871)+P123(x29872)+~E(x29871,x29872) % 166.52/166.25 [2988]~P111(x29881)+P111(x29882)+~E(x29881,x29882) % 166.52/166.25 [2989]P9(x29892,x29893,x29894,x29895,x29896)+~E(x29891,x29892)+~P9(x29891,x29893,x29894,x29895,x29896) % 166.52/166.25 [2990]P9(x29903,x29902,x29904,x29905,x29906)+~E(x29901,x29902)+~P9(x29903,x29901,x29904,x29905,x29906) % 166.52/166.25 [2991]P9(x29913,x29914,x29912,x29915,x29916)+~E(x29911,x29912)+~P9(x29913,x29914,x29911,x29915,x29916) % 166.52/166.25 [2992]P9(x29923,x29924,x29925,x29922,x29926)+~E(x29921,x29922)+~P9(x29923,x29924,x29925,x29921,x29926) % 166.52/166.25 [2993]P9(x29933,x29934,x29935,x29936,x29932)+~E(x29931,x29932)+~P9(x29933,x29934,x29935,x29936,x29931) % 166.52/166.25 [2994]~P134(x29941)+P134(x29942)+~E(x29941,x29942) % 166.52/166.25 [2995]~P135(x29951)+P135(x29952)+~E(x29951,x29952) % 166.52/166.25 [2996]~P64(x29961)+P64(x29962)+~E(x29961,x29962) % 166.52/166.25 [2997]P21(x29972,x29973,x29974,x29975,x29976,x29977)+~E(x29971,x29972)+~P21(x29971,x29973,x29974,x29975,x29976,x29977) % 166.52/166.25 [2998]P21(x29983,x29982,x29984,x29985,x29986,x29987)+~E(x29981,x29982)+~P21(x29983,x29981,x29984,x29985,x29986,x29987) % 166.52/166.25 [2999]P21(x29993,x29994,x29992,x29995,x29996,x29997)+~E(x29991,x29992)+~P21(x29993,x29994,x29991,x29995,x29996,x29997) % 166.52/166.25 [3000]P21(x30003,x30004,x30005,x30002,x30006,x30007)+~E(x30001,x30002)+~P21(x30003,x30004,x30005,x30001,x30006,x30007) % 166.52/166.25 [3001]P21(x30013,x30014,x30015,x30016,x30012,x30017)+~E(x30011,x30012)+~P21(x30013,x30014,x30015,x30016,x30011,x30017) % 166.52/166.25 [3002]P21(x30023,x30024,x30025,x30026,x30027,x30022)+~E(x30021,x30022)+~P21(x30023,x30024,x30025,x30026,x30027,x30021) % 166.52/166.25 [3003]~P95(x30031)+P95(x30032)+~E(x30031,x30032) % 166.52/166.25 [3004]P45(x30042,x30043)+~E(x30041,x30042)+~P45(x30041,x30043) % 166.52/166.25 [3005]P45(x30053,x30052)+~E(x30051,x30052)+~P45(x30053,x30051) % 166.52/166.25 [3006]P51(x30062,x30063,x30064,x30065)+~E(x30061,x30062)+~P51(x30061,x30063,x30064,x30065) % 166.52/166.25 [3007]P51(x30073,x30072,x30074,x30075)+~E(x30071,x30072)+~P51(x30073,x30071,x30074,x30075) % 166.52/166.25 [3008]P51(x30083,x30084,x30082,x30085)+~E(x30081,x30082)+~P51(x30083,x30084,x30081,x30085) % 166.52/166.25 [3009]P51(x30093,x30094,x30095,x30092)+~E(x30091,x30092)+~P51(x30093,x30094,x30095,x30091) % 166.52/166.25 [3010]P47(x30102,x30103)+~E(x30101,x30102)+~P47(x30101,x30103) % 166.52/166.25 [3011]P47(x30113,x30112)+~E(x30111,x30112)+~P47(x30113,x30111) % 166.52/166.25 [3012]~P79(x30121)+P79(x30122)+~E(x30121,x30122) % 166.52/166.25 [3013]~P125(x30131)+P125(x30132)+~E(x30131,x30132) % 166.52/166.25 [3014]P49(x30142,x30143,x30144)+~E(x30141,x30142)+~P49(x30141,x30143,x30144) % 166.52/166.25 [3015]P49(x30153,x30152,x30154)+~E(x30151,x30152)+~P49(x30153,x30151,x30154) % 166.52/166.25 [3016]P49(x30163,x30164,x30162)+~E(x30161,x30162)+~P49(x30163,x30164,x30161) % 166.52/166.25 % 166.52/166.25 %------------------------------------------- % 166.52/166.27 cnf(10371,plain, % 166.52/166.27 (~E(f329(a117,x103711),x103711)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10381,plain, % 166.52/166.27 (~E(f329(a117,x103811),x103811)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10394,plain, % 166.52/166.27 (~E(f329(a117,x103941),x103941)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10399,plain, % 166.52/166.27 (~P1(f329(f329(f175(x103991),f118(x103991)),x103992))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10402,plain, % 166.52/166.27 (~P1(f329(f329(f175(x104021),f118(x104021)),x104022))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10405,plain, % 166.52/166.27 (~E(f329(a117,x104051),x104051)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10408,plain, % 166.52/166.27 (~E(f329(a117,x104081),x104081)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10411,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x104111),f2(a905)))), % 166.52/166.27 inference(rename_variables,[],[4634])). % 166.52/166.27 cnf(10414,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x104141),f2(a905)))), % 166.52/166.27 inference(rename_variables,[],[4634])). % 166.52/166.27 cnf(10427,plain, % 166.52/166.27 (~P1(f329(f191(f913(x104271,a900)),x104272))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,3206,3248,3313,3244,3255,3397,4634,10411,4631,4589,4639,10399,4637,3390,4623,4656,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136])). % 166.52/166.27 cnf(10431,plain, % 166.52/166.27 (~P1(f329(f329(f239(a905),f329(a117,x104311)),x104311))), % 166.52/166.27 inference(rename_variables,[],[4640])). % 166.52/166.27 cnf(10434,plain, % 166.52/166.27 (~E(f329(f329(f154(x104341),x104342),x104343),x104343)), % 166.52/166.27 inference(rename_variables,[],[4594])). % 166.52/166.27 cnf(10440,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x104401),f2(a905)))), % 166.52/166.27 inference(rename_variables,[],[4634])). % 166.52/166.27 cnf(10442,plain, % 166.52/166.27 (E(f47(a905,f329(f287(x104421,x104421),f268(x104421,f329(f329(f83(a905),x104422),x104423))),x104422),f2(a905))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,3206,3374,3248,3313,3244,3272,3255,4594,3397,4634,10411,10414,4631,4589,4639,10399,4640,4637,3390,4623,4656,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162])). % 166.52/166.27 cnf(10443,plain, % 166.52/166.27 (E(f329(f287(x104431,x104431),f268(x104431,x104432)),x104432)), % 166.52/166.27 inference(rename_variables,[],[3374])). % 166.52/166.27 cnf(10446,plain, % 166.52/166.27 (E(f329(f287(x104461,x104461),f268(x104461,x104462)),x104462)), % 166.52/166.27 inference(rename_variables,[],[3374])). % 166.52/166.27 cnf(10451,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x104511),x104511))), % 166.52/166.27 inference(rename_variables,[],[4630])). % 166.52/166.27 cnf(10456,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x104561),x104562)),x104562))), % 166.52/166.27 inference(rename_variables,[],[4654])). % 166.52/166.27 cnf(10459,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x104591),x104592)),x104592))), % 166.52/166.27 inference(rename_variables,[],[4654])). % 166.52/166.27 cnf(10466,plain, % 166.52/166.27 (~E(x104661,f329(a117,x104661))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,3206,3374,10443,3248,3313,3244,3272,3255,4594,3482,3397,4634,10411,10414,4631,4589,4639,10399,4630,4640,4233,4637,3390,4623,4656,4654,10456,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277])). % 166.52/166.27 cnf(10480,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x104801),x104801))), % 166.52/166.27 inference(rename_variables,[],[4630])). % 166.52/166.27 cnf(10483,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),f47(a905,x104831,x104832)),x104831))), % 166.52/166.27 inference(rename_variables,[],[3871])). % 166.52/166.27 cnf(10504,plain, % 166.52/166.27 (E(f329(f37(a905),f329(f285(a905),x105041)),x105041)), % 166.52/166.27 inference(rename_variables,[],[3308])). % 166.52/166.27 cnf(10512,plain, % 166.52/166.27 (~E(f329(a117,x105121),x105121)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10515,plain, % 166.52/166.27 (~E(f329(a117,x105151),x105151)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10518,plain, % 166.52/166.27 (~E(f329(a117,x105181),x105181)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10520,plain, % 166.52/166.27 (P1(f329(a196,a102))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,3206,3374,10443,3248,3313,3244,3272,3255,3344,4594,3308,4659,3329,3482,3397,4634,10411,10414,3999,3417,4631,4589,4639,10399,4630,10451,10480,3507,3934,3871,4640,10431,4233,4637,4622,3390,4623,4656,4654,10456,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420])). % 166.52/166.27 cnf(10523,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x105231),f329(a117,x105231)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10532,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x105321),x105321))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10539,plain, % 166.52/166.27 (E(f329(f287(x105391,x105391),f268(x105391,x105392)),x105392)), % 166.52/166.27 inference(rename_variables,[],[3374])). % 166.52/166.27 cnf(10542,plain, % 166.52/166.27 (E(f329(f287(x105421,x105421),f268(x105421,x105422)),x105422)), % 166.52/166.27 inference(rename_variables,[],[3374])). % 166.52/166.27 cnf(10565,plain, % 166.52/166.27 (~P1(f329(f329(f175(x105651),f118(x105651)),x105652))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10571,plain, % 166.52/166.27 (E(f329(f329(f82(a905),x105711),f841(x105711,x105711)),x105711)), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,3206,3374,10443,10446,10539,3248,3313,3244,3272,3255,3344,4594,3308,4192,4659,3329,3482,10523,3397,4634,10411,10414,3853,3999,3442,3443,3417,4631,4589,4639,10399,10402,4142,3413,10532,4630,10451,10480,3507,3934,3871,10483,4640,10431,4233,4637,4622,3390,4623,4656,3894,4654,10456,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562])). % 166.52/166.27 cnf(10594,plain, % 166.52/166.27 (~E(f329(f329(f154(x105941),x105942),x105943),x105943)), % 166.52/166.27 inference(rename_variables,[],[4594])). % 166.52/166.27 cnf(10597,plain, % 166.52/166.27 (~E(f329(a26,x105971),f32(x105972,x105973))), % 166.52/166.27 inference(rename_variables,[],[4584])). % 166.52/166.27 cnf(10608,plain, % 166.52/166.27 (P1(f329(f329(f239(a1),x106081),x106081))), % 166.52/166.27 inference(rename_variables,[],[3414])). % 166.52/166.27 cnf(10613,plain, % 166.52/166.27 (~E(f329(a117,x106131),x106131)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10616,plain, % 166.52/166.27 (~P1(f329(f329(f191(f913(x106161,f913(x106162,a900))),x106163),x106164))), % 166.52/166.27 inference(rename_variables,[],[4657])). % 166.52/166.27 cnf(10623,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x106231),x106231))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10636,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x106361),f329(a117,x106361)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10657,plain, % 166.52/166.27 (~P1(f329(f329(f175(x106571),f118(x106571)),x106572))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10676,plain, % 166.52/166.27 (~P1(f329(f329(f175(x106761),f118(x106761)),x106762))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10683,plain, % 166.52/166.27 (~P1(f329(f329(f175(x106831),f118(x106831)),x106832))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10696,plain, % 166.52/166.27 (~E(f329(a26,x106961),f32(x106962,x106963))), % 166.52/166.27 inference(rename_variables,[],[4584])). % 166.52/166.27 cnf(10701,plain, % 166.52/166.27 (P1(f329(f329(f331(x107011),x107012),f247(f913(x107011,a900))))), % 166.52/166.27 inference(rename_variables,[],[3567])). % 166.52/166.27 cnf(10708,plain, % 166.52/166.27 (~P1(f329(f329(f175(x107081),f118(x107081)),x107082))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10713,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x107131),f329(a117,x107131)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10716,plain, % 166.52/166.27 (~P1(f329(f329(f175(x107161),f118(x107161)),x107162))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10719,plain, % 166.52/166.27 (~P1(f329(f329(f175(x107191),f118(x107191)),x107192))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10722,plain, % 166.52/166.27 (~P1(f329(f64(x107221,x107222,f191(f913(x107221,a900))),x107223))), % 166.52/166.27 inference(rename_variables,[],[4653])). % 166.52/166.27 cnf(10725,plain, % 166.52/166.27 (~P1(f329(f64(x107251,x107252,f191(f913(x107251,a900))),x107253))), % 166.52/166.27 inference(rename_variables,[],[4653])). % 166.52/166.27 cnf(10728,plain, % 166.52/166.27 (~P1(f329(f329(f191(f913(x107281,f913(x107282,a900))),x107283),x107284))), % 166.52/166.27 inference(rename_variables,[],[4657])). % 166.52/166.27 cnf(10733,plain, % 166.52/166.27 (~P1(f329(f329(f175(x107331),f118(x107331)),x107332))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10744,plain, % 166.52/166.27 (~E(f329(a117,x107441),x107441)), % 166.52/166.27 inference(rename_variables,[],[4571])). % 166.52/166.27 cnf(10762,plain, % 166.52/166.27 (P1(f329(f329(f240(a104),f329(a3,x107621)),f329(a3,f329(a117,x107621))))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,4192,4659,3329,3777,3482,10523,10636,10713,3866,3397,4634,10411,10414,10440,4647,3853,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,3414,4630,10451,10480,3567,3507,3934,3871,10483,4640,10431,4233,4637,4622,3390,3394,4624,4623,4653,10722,4656,4657,10616,3894,4654,10456,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196])). % 166.52/166.27 cnf(10769,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x107691),x107691))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10772,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x107721),f329(f329(f83(a905),x107721),x107721)))), % 166.52/166.27 inference(rename_variables,[],[3677])). % 166.52/166.27 cnf(10774,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x107741),f329(f329(f83(a905),f329(a117,x107741)),f329(a117,x107741))))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,4192,4659,3329,3777,3482,10523,10636,10713,3866,3397,4634,10411,10414,10440,4647,3853,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,3414,4630,10451,10480,3567,3507,3934,3871,10483,4640,10431,4233,4637,4622,3390,3394,4624,4623,4653,10722,3677,10772,4656,4657,10616,3894,4654,10456,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220])). % 166.52/166.27 cnf(10775,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x107751),f329(f329(f83(a905),x107751),x107751)))), % 166.52/166.27 inference(rename_variables,[],[3677])). % 166.52/166.27 cnf(10778,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x107781),f329(a117,f329(f329(f82(a905),x107782),x107781))))), % 166.52/166.27 inference(rename_variables,[],[3864])). % 166.52/166.27 cnf(10783,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x107831),f329(a117,x107831)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10786,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x107861),f329(a117,x107861)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10789,plain, % 166.52/166.27 (P1(f329(f329(f331(x107891),x107892),f247(f913(x107891,a900))))), % 166.52/166.27 inference(rename_variables,[],[3567])). % 166.52/166.27 cnf(10808,plain, % 166.52/166.27 (~P1(f329(f329(f239(a905),f329(a117,x108081)),x108081))), % 166.52/166.27 inference(rename_variables,[],[4640])). % 166.52/166.27 cnf(10811,plain, % 166.52/166.27 (~P1(f329(f329(f239(a905),f329(a117,x108111)),x108111))), % 166.52/166.27 inference(rename_variables,[],[4640])). % 166.52/166.27 cnf(10814,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x108141),x108142)),x108142))), % 166.52/166.27 inference(rename_variables,[],[4654])). % 166.52/166.27 cnf(10817,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x108171),x108172)),x108172))), % 166.52/166.27 inference(rename_variables,[],[4654])). % 166.52/166.27 cnf(10820,plain, % 166.52/166.27 (P1(f329(f247(f913(x108201,a900)),x108202))), % 166.52/166.27 inference(rename_variables,[],[3475])). % 166.52/166.27 cnf(10823,plain, % 166.52/166.27 (E(f329(f37(a905),f329(f285(a905),x108231)),x108231)), % 166.52/166.27 inference(rename_variables,[],[3308])). % 166.52/166.27 cnf(10826,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x108261),f329(a117,x108261)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10833,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x108331),x108331))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10838,plain, % 166.52/166.27 (P1(f329(f329(f239(a1),x108381),x108381))), % 166.52/166.27 inference(rename_variables,[],[3414])). % 166.52/166.27 cnf(10847,plain, % 166.52/166.27 (E(f329(f287(x108471,x108471),f268(x108471,x108472)),x108472)), % 166.52/166.27 inference(rename_variables,[],[3374])). % 166.52/166.27 cnf(10850,plain, % 166.52/166.27 (P1(f329(f247(f913(x108501,a900)),x108502))), % 166.52/166.27 inference(rename_variables,[],[3475])). % 166.52/166.27 cnf(10853,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),f2(a905)),x108531))), % 166.52/166.27 inference(rename_variables,[],[3435])). % 166.52/166.27 cnf(10856,plain, % 166.52/166.27 (P1(f329(f329(f239(f913(x108561,a900)),f191(f913(x108561,a900))),x108562))), % 166.52/166.27 inference(rename_variables,[],[3863])). % 166.52/166.27 cnf(10859,plain, % 166.52/166.27 (P1(f329(f247(f913(x108591,a900)),x108592))), % 166.52/166.27 inference(rename_variables,[],[3475])). % 166.52/166.27 cnf(10862,plain, % 166.52/166.27 (P1(f329(f247(f913(x108621,a900)),x108622))), % 166.52/166.27 inference(rename_variables,[],[3475])). % 166.52/166.27 cnf(10864,plain, % 166.52/166.27 (~P1(f329(f329(f239(a905),f329(f329(f83(a905),f329(a117,x108641)),f329(a117,x108641))),x108641))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,3866,3397,4634,10411,10414,10440,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,10769,3414,10608,4630,10451,10480,3567,10701,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,3435,4233,4637,4622,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430])). % 166.52/166.27 cnf(10865,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x108651),f329(f329(f83(a905),x108651),x108651)))), % 166.52/166.27 inference(rename_variables,[],[3677])). % 166.52/166.27 cnf(10869,plain, % 166.52/166.27 (E(f329(f171(x108691),f176(x108692,f329(f329(f137(x108691),f329(f171(x108691),x108693)),f329(f329(f154(x108691),x108694),f118(x108691))),f118(x108692))),f329(f329(f154(x108691),x108694),x108693))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,3866,3397,4634,10411,10414,10440,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,10769,3414,10608,4630,10451,10480,3567,10701,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,3435,4233,4637,4622,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469])). % 166.52/166.27 cnf(10874,plain, % 166.52/166.27 (~P1(f329(f329(f239(a905),f329(a117,f329(a117,f329(f329(f82(a905),x108741),x108742)))),f329(a117,x108742)))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,10826,3866,3397,4634,10411,10414,10440,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,10769,3414,10608,4630,10451,10480,3567,10701,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,3435,4233,4637,4622,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473])). % 166.52/166.27 cnf(10882,plain, % 166.52/166.27 (~P1(f329(f329(f240(a104),f329(a3,x108821)),f329(a3,f2(a905))))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,10826,3866,3397,4634,10411,10414,10440,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,4142,3413,10532,10623,10769,3414,10608,4630,10451,10480,3567,10701,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,4233,4637,4622,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478])). % 166.52/166.27 cnf(10907,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x109071),x109071))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10918,plain, % 166.52/166.27 (~P1(f329(f329(f175(x109181),f118(x109181)),x109182))), % 166.52/166.27 inference(rename_variables,[],[4639])). % 166.52/166.27 cnf(10927,plain, % 166.52/166.27 (P1(f329(f329(f240(a905),x109271),f329(a117,x109271)))), % 166.52/166.27 inference(rename_variables,[],[3482])). % 166.52/166.27 cnf(10929,plain, % 166.52/166.27 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x109291),f80(a1))),x109291))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4050,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,10826,3866,3397,4634,10411,10414,10440,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4142,3413,10532,10623,10769,10833,10907,3414,10608,10838,4630,10451,10480,3567,10701,4643,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,4233,4637,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743])). % 166.52/166.27 cnf(10930,plain, % 166.52/166.27 (P1(f329(f329(f239(a1),x109301),x109301))), % 166.52/166.27 inference(rename_variables,[],[3414])). % 166.52/166.27 cnf(10935,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x109351),f2(a905)))), % 166.52/166.27 inference(rename_variables,[],[4634])). % 166.52/166.27 cnf(10948,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x109481),f2(a905)))), % 166.52/166.27 inference(rename_variables,[],[4634])). % 166.52/166.27 cnf(10951,plain, % 166.52/166.27 (~P1(f329(f329(f240(f913(x109511,a900)),x109512),f191(f913(x109511,a900))))), % 166.52/166.27 inference(rename_variables,[],[4651])). % 166.52/166.27 cnf(10954,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x109541),x109541))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10957,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x109571),x109571))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10971,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x109711),f329(f329(f23(a905),x109711),x109712)))), % 166.52/166.27 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3344,4594,10434,3308,10504,4192,4050,4659,3329,3777,3713,3482,10523,10636,10713,10783,10786,10826,3866,3397,4634,10411,10414,10440,10935,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,3414,10608,10838,4630,10451,10480,3567,10701,4643,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,4233,4637,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,4656,4657,10616,3894,4654,10456,10459,10814,3864,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904])). % 166.52/166.27 cnf(10972,plain, % 166.52/166.27 (~P1(f329(f329(f240(a905),x109721),x109721))), % 166.52/166.27 inference(rename_variables,[],[4630])). % 166.52/166.27 cnf(10981,plain, % 166.52/166.27 (~P1(f329(f329(f331(x109811),x109812),f191(f913(x109811,a900))))), % 166.52/166.27 inference(rename_variables,[],[4643])). % 166.52/166.27 cnf(10988,plain, % 166.52/166.27 (P1(f329(f329(f239(a905),x109881),x109881))), % 166.52/166.27 inference(rename_variables,[],[3413])). % 166.52/166.27 cnf(10991,plain, % 166.52/166.27 (~P1(f329(f329(f331(x109911),x109912),f191(f913(x109911,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(10994,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x109941,a900)),f329(f312(x109942,x109941,x109943),f329(f313(x109942,x109941,x109943),x109944))),x109944))), % 166.52/166.28 inference(rename_variables,[],[4288])). % 166.52/166.28 cnf(11001,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x110011,a900)),f329(f175(x110011),f329(f139(x110011,x110012),x110013))),f329(f175(x110011),x110013)))), % 166.52/166.28 inference(rename_variables,[],[4059])). % 166.52/166.28 cnf(11004,plain, % 166.52/166.28 (E(f329(f312(x110041,x110041,f5(x110041)),x110042),x110042)), % 166.52/166.28 inference(rename_variables,[],[3471])). % 166.52/166.28 cnf(11007,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x110071))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(11010,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x110101),x110101))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11013,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x110131),x110131))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(11022,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x110221),x110221))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(11033,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x110331),f329(f329(f83(a905),x110331),x110331)))), % 166.52/166.28 inference(rename_variables,[],[3677])). % 166.52/166.28 cnf(11039,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x110391),f329(a117,f329(f329(f82(a905),x110392),x110391))))), % 166.52/166.28 inference(rename_variables,[],[3864])). % 166.52/166.28 cnf(11046,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x110461),x110461))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11049,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x110491),x110491))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(11052,plain, % 166.52/166.28 (~E(f329(a117,x110521),x110521)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11056,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x110561,x110561)),x110562),f309(x110561,f247(f913(f912(x110561,x110561),a900)))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,4643,10981,10991,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,4233,4637,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563])). % 166.52/166.28 cnf(11057,plain, % 166.52/166.28 (P1(f329(f329(f331(x110571),x110572),f247(f913(x110571,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11062,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x110621),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11064,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x110641,a900)),x110642),f39(f913(x110641,a900),f329(f310(x110641),x110642))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,4643,10981,10991,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,4233,4637,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617])). % 166.52/166.28 cnf(11073,plain, % 166.52/166.28 (~E(f329(a117,x110731),f2(a905))), % 166.52/166.28 inference(rename_variables,[],[4581])). % 166.52/166.28 cnf(11080,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x110801))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(11087,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x110871),x110871))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11096,plain, % 166.52/166.28 (~P1(f329(f329(f331(x110961),x110962),f191(f913(x110961,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11098,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x110981,a900)),f40(f913(x110981,a900),f329(f310(x110981),x110982))),x110982))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891])). % 166.52/166.28 cnf(11100,plain, % 166.52/166.28 (E(f329(f329(f106(f913(x111001,a900)),f329(f329(f106(f913(x111001,a900)),x111002),f329(f81(f913(x111001,a900)),x111003))),x111003),f191(f913(x111001,a900)))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893])). % 166.52/166.28 cnf(11103,plain, % 166.52/166.28 (P1(f329(f329(f331(f906(x111031)),x111032),f164(x111031,f247(f913(x111031,a900)))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902])). % 166.52/166.28 cnf(11104,plain, % 166.52/166.28 (P1(f329(f329(f331(x111041),x111042),f247(f913(x111041,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11107,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x111071),f906(x111071))),f329(f329(f257(f906(x111071),f906(x111071)),x111072),f118(x111071))),f148(x111071,x111073)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11113,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x111131,x111131)),x111132),f268(x111131,f191(f913(x111131,a900)))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,11096,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041])). % 166.52/166.28 cnf(11114,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111141),x111142),f191(f913(x111141,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11116,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111161),x111162),f329(f313(x111161,x111163,x111164),f191(f913(x111163,a900)))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,11096,11114,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073])). % 166.52/166.28 cnf(11117,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111171),x111172),f191(f913(x111171,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11120,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x111201,a900)),x111202),f329(f329(f311(x111201),x111203),x111202)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(11123,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x111231),x111231))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11126,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x111261,a900)),x111262),f329(f329(f311(x111261),x111263),x111262)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(11129,plain, % 166.52/166.28 (E(f329(f312(x111291,x111291,f5(x111291)),x111292),x111292)), % 166.52/166.28 inference(rename_variables,[],[3471])). % 166.52/166.28 cnf(11131,plain, % 166.52/166.28 (P34(x111311,x111312,x111313,f119(x111311,f118(x111311)),f118(x111312))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,4581,3206,3258,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,11004,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,4643,10981,10991,11096,11114,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,3861,11120,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188])). % 166.52/166.28 cnf(11142,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x111421,a900)),x111422),f329(f329(f311(x111421),x111423),x111422)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(11149,plain, % 166.52/166.28 (~E(f329(a26,x111491),f32(x111492,x111493))), % 166.52/166.28 inference(rename_variables,[],[4584])). % 166.52/166.28 cnf(11152,plain, % 166.52/166.28 (~P1(f329(f329(f175(x111521),f118(x111521)),x111522))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11156,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),f329(a117,x111561)),x111561)),f309(a905,a319)))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,4584,10597,10696,4581,3206,3258,3374,10443,10446,10539,10542,3351,3248,3313,3244,3272,3255,3885,3471,11004,3344,4594,10434,3308,10504,4192,4050,4659,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,3778,4142,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,4643,10981,10991,11096,11114,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,4017,3861,11120,11126,3863,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510])). % 166.52/166.28 cnf(11165,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x111651),f329(a117,x111651)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(11175,plain, % 166.52/166.28 (~E(f329(f312(x111751,f913(x111751,a900),x111752),x111753),f329(f310(x111751),x111753))), % 166.52/166.28 inference(rename_variables,[],[4641])). % 166.52/166.28 cnf(11178,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111781),x111782),f191(f913(x111781,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11181,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111811),x111812),f191(f913(x111811,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11184,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x111841,x111841)),f329(f329(f257(x111841,x111841),x111842),x111843)),f156(x111841,f118(f913(x111841,a905)))))), % 166.52/166.28 inference(rename_variables,[],[4658])). % 166.52/166.28 cnf(11187,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x111871,x111871)),f329(f329(f257(x111871,x111871),x111872),x111873)),f156(x111871,f118(f913(x111871,a905)))))), % 166.52/166.28 inference(rename_variables,[],[4658])). % 166.52/166.28 cnf(11192,plain, % 166.52/166.28 (~P1(f329(f329(f331(x111921),x111922),f191(f913(x111921,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11195,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x111951,x111951)),f329(f329(f257(x111951,x111951),x111952),x111952)),f309(x111951,x111953)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(11198,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x111981,a900)),f329(f175(x111981),f179(x111981,x111982,x111983))),f329(f175(x111981),x111982)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(11201,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x112011,a900)),x112012),f247(f913(x112011,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(11217,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x112171,a900)),f191(f913(x112171,a900))),x112172))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(11228,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x112281),f906(x112281))),f329(f329(f257(f906(x112281),f906(x112281)),x112282),f118(x112281))),f150(x112281,x112283)))), % 166.52/166.28 inference(rename_variables,[],[4660])). % 166.52/166.28 cnf(11239,plain, % 166.52/166.28 (~E(f329(a117,x112391),x112391)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11242,plain, % 166.52/166.28 (~E(f329(a117,x112421),x112421)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11246,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f906(x112461),f906(x112461))),f329(f329(f257(f906(x112461),f906(x112461)),f118(x112461)),f118(x112461))),f329(f329(f291(f906(x112461),f906(x112461),f906(x112461)),f161(x112461,x112462)),f309(f906(x112461),f161(x112461,x112462)))))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,3308,10504,4192,4050,11195,4659,11107,4660,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,4643,10981,10991,11096,11114,11117,11178,11181,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747])). % 166.52/166.28 cnf(11251,plain, % 166.52/166.28 (E(f329(x112511,f329(f94(x112512,x112513,f247(f913(x112512,a900)),x112511),f329(x112511,x112514))),f329(x112511,x112514))), % 166.52/166.28 inference(scs_inference,[],[4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,3308,10504,4192,4050,11195,4659,11107,4660,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,4643,10981,10991,11096,11114,11117,11178,11181,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760])). % 166.52/166.28 cnf(11254,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x112541,a900)),x112542),x112542))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(11261,plain, % 166.52/166.28 (P24(x112611,x112611,f5(x112611),x112612)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(11266,plain, % 166.52/166.28 (~E(f329(f312(x112661,f913(x112661,a900),x112662),x112663),f329(f310(x112661),x112663))), % 166.52/166.28 inference(rename_variables,[],[4641])). % 166.52/166.28 cnf(11271,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x112711,a900)),x112712),f247(f913(x112711,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(11285,plain, % 166.52/166.28 (~P1(f329(f329(f331(x112851),x112852),f191(f913(x112851,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11288,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x112881)),x112881))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11293,plain, % 166.52/166.28 (~P1(f329(f329(f331(x112931),x112932),f191(f913(x112931,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11304,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x113041)),x113041))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11307,plain, % 166.52/166.28 (~P1(f329(f329(f331(x113071),x113072),f191(f913(x113071,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11315,plain, % 166.52/166.28 (E(f329(f139(x113151,f247(f913(x113152,a900))),f773(x113153,x113154,f329(f329(f154(x113151),x113154),x113153),f247(f913(x113152,a900)),x113151)),x113153)), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,4660,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,11201,4651,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3709,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049])). % 166.52/166.28 cnf(11320,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x113201,x113201)),f329(f329(f257(x113201,x113201),x113202),x113202)),f309(x113201,x113203)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(11323,plain, % 166.52/166.28 (P1(f329(f329(f331(x113231),x113232),f247(f913(x113231,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11326,plain, % 166.52/166.28 (P1(f329(f329(f331(x113261),x113262),f247(f913(x113261,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11333,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x113331),f906(x113331))),f329(f329(f257(f906(x113331),f906(x113331)),x113332),f118(x113331))),f148(x113331,x113333)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11336,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x113361),f906(x113361))),f329(f329(f257(f906(x113361),f906(x113361)),x113362),f118(x113361))),f150(x113361,x113363)))), % 166.52/166.28 inference(rename_variables,[],[4660])). % 166.52/166.28 cnf(11339,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x113391),f906(x113391))),f329(f329(f257(f906(x113391),f906(x113391)),x113392),f118(x113391))),f160(x113391,x113393)))), % 166.52/166.28 inference(rename_variables,[],[4661])). % 166.52/166.28 cnf(11344,plain, % 166.52/166.28 (~P1(f329(f329(f240(f913(x113441,a900)),x113442),f191(f913(x113441,a900))))), % 166.52/166.28 inference(rename_variables,[],[4651])). % 166.52/166.28 cnf(11346,plain, % 166.52/166.28 (~P1(f329(f329(f331(x113461),x113462),f329(f312(x113463,x113461,x113464),f191(f913(x113463,a900)))))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,11201,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3709,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216])). % 166.52/166.28 cnf(11347,plain, % 166.52/166.28 (~P1(f329(f329(f331(x113471),x113472),f191(f913(x113471,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11355,plain, % 166.52/166.28 (~P42(f32(x113551,f32(f329(a26,x113552),x113553)),x113554,f2(a905),x113555)), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,11201,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3709,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247])). % 166.52/166.28 cnf(11357,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x113571,a900)),x113572),f329(f329(f115(f913(x113571,a900)),x113573),f247(f913(x113571,a900)))))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3709,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249])). % 166.52/166.28 cnf(11358,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x113581,a900)),x113582),f247(f913(x113581,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(11361,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x113611,f913(x113612,a900))),x113613),x113614))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(11365,plain, % 166.52/166.28 (~P1(f329(f329(f260(x113651,x113652,a900,f329(f175(x113653),f118(x113653))),x113654),x113655))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,4017,3861,11120,11126,3709,3863,10856,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358])). % 166.52/166.28 cnf(11366,plain, % 166.52/166.28 (~P1(f329(f329(f175(x113661),f118(x113661)),x113662))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11371,plain, % 166.52/166.28 (~P1(f329(f329(f331(x113711),x113712),f191(f913(x113711,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11374,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x113741,x113741)),f329(f329(f257(x113741,x113741),x113742),x113743)),f156(x113741,f118(f913(x113741,a905)))))), % 166.52/166.28 inference(rename_variables,[],[4658])). % 166.52/166.28 cnf(11377,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x113771,a900)),x113772),x113772))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(11380,plain, % 166.52/166.28 (~P1(f329(f329(f331(x113801),x113802),f191(f913(x113801,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11382,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x113821,a900)),f329(f288(x113822,x113821,f191(f913(f912(x113822,x113821),a900))),x113823)),x113824))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423])). % 166.52/166.28 cnf(11383,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x113831,a900)),f191(f913(x113831,a900))),x113832))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(11386,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x113861,x113861)),f329(f329(f257(x113861,x113861),x113862),x113862)),f309(x113861,x113863)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(11388,plain, % 166.52/166.28 (~P34(x113881,x113882,x113883,f329(f329(f157(x113884,x113881),x113885),f329(a117,f118(x113884))),f118(x113882))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431])). % 166.52/166.28 cnf(11392,plain, % 166.52/166.28 (P34(x113921,x113922,x113923,f329(f329(f157(x113924,x113921),x113925),f119(x113924,f118(x113924))),f118(x113922))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,4661,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455])). % 166.52/166.28 cnf(11397,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x113971),f906(x113971))),f329(f329(f257(f906(x113971),f906(x113971)),x113972),f118(x113971))),f160(x113971,x113973)))), % 166.52/166.28 inference(rename_variables,[],[4661])). % 166.52/166.28 cnf(11404,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x114041),f906(x114041))),f329(f329(f257(f906(x114041),f906(x114041)),f118(x114041)),x114042)),f148(x114041,x114043)))), % 166.52/166.28 inference(rename_variables,[],[4662])). % 166.52/166.28 cnf(11409,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f913(x114091,a900),f913(x114091,a900))),f329(f329(f257(f913(x114091,a900),f913(x114091,a900)),x114092),f191(f913(x114091,a900)))),f316(x114091)))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,4661,11339,4662,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587])). % 166.52/166.28 cnf(11412,plain, % 166.52/166.28 (P1(f329(f329(f331(x114121),x114122),f247(f913(x114121,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11417,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x114171,a900)),f191(f913(x114171,a900))),x114172))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(11420,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114201),x114202),f191(f913(x114201,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11423,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x114231,a900)),x114232),f247(f913(x114231,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(11427,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x114271,a900)),f329(f288(x114272,x114271,x114273),f191(f913(x114272,a900)))),x114274))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,4661,11339,4662,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692])). % 166.52/166.28 cnf(11428,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x114281,a900)),f191(f913(x114281,a900))),x114282))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(11430,plain, % 166.52/166.28 (~P1(f329(f68(a905,x114301,x114302,x114303,f247(f913(a905,a900))),x114304))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,4661,11339,4662,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,3475,10820,10850,10859,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713])). % 166.52/166.28 cnf(11441,plain, % 166.52/166.28 (P1(f329(f247(f913(x114411,a900)),x114412))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(11449,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x114491),f906(x114491))),f329(f329(f257(f906(x114491),f906(x114491)),x114492),f118(x114491))),f148(x114491,x114493)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11452,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x114521),f906(x114521))),f329(f329(f257(f906(x114521),f906(x114521)),x114522),f118(x114521))),f150(x114521,x114523)))), % 166.52/166.28 inference(rename_variables,[],[4660])). % 166.52/166.28 cnf(11455,plain, % 166.52/166.28 (~E(f329(f329(f154(x114551),x114552),x114553),x114553)), % 166.52/166.28 inference(rename_variables,[],[4594])). % 166.52/166.28 cnf(11458,plain, % 166.52/166.28 (~E(f329(a117,x114581),x114581)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11460,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114601),x114602),f329(f288(x114603,x114601,x114604),f191(f913(x114603,a900)))))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,10594,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,4660,11228,11336,4661,11339,4662,11404,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,3475,10820,10850,10859,10862,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832])). % 166.52/166.28 cnf(11461,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114611),x114612),f191(f913(x114611,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11466,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114661),x114662),f191(f913(x114661,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11469,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f906(x114691),f906(x114691))),f329(f329(f257(f906(x114691),f906(x114691)),x114692),x114692)),f161(x114691,f309(x114691,x114693))))), % 166.52/166.28 inference(rename_variables,[],[4185])). % 166.52/166.28 cnf(11472,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x114721),f906(x114721))),f329(f329(f257(f906(x114721),f906(x114721)),x114722),f118(x114721))),f148(x114721,x114723)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11476,plain, % 166.52/166.28 (E(f329(f329(f154(x114761),f674(f309(x114761,x114762),f329(f329(f154(x114761),x114763),x114764),x114764,x114763,x114761)),f676(f309(x114761,x114762),f329(f329(f154(x114761),x114763),x114764),x114764,x114763,x114761)),f329(f329(f154(x114761),x114763),x114764))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,10594,4641,11175,3518,3308,10504,4192,4050,11195,11320,4659,11107,11333,11449,4660,11228,11336,4661,11339,4662,11404,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4185,11469,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,3475,10820,10850,10859,10862,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890])). % 166.52/166.28 cnf(11482,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114821),x114822),f191(f913(x114821,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11485,plain, % 166.52/166.28 (~P1(f329(f329(f331(x114851),x114852),f191(f913(x114851,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11488,plain, % 166.52/166.28 (P1(f329(f329(f331(x114881),x114882),f247(f913(x114881,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11491,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x114911),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11496,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x114961,x114961)),f329(f329(f257(x114961,x114961),x114962),x114963)),f156(x114961,f118(f913(x114961,a905)))))), % 166.52/166.28 inference(rename_variables,[],[4658])). % 166.52/166.28 cnf(11499,plain, % 166.52/166.28 (~E(f329(f312(x114991,f913(x114991,a900),x114992),x114993),f329(f310(x114991),x114993))), % 166.52/166.28 inference(rename_variables,[],[4641])). % 166.52/166.28 cnf(11502,plain, % 166.52/166.28 (~E(f329(f312(x115021,f913(x115021,a900),x115022),x115023),f329(f310(x115021),x115023))), % 166.52/166.28 inference(rename_variables,[],[4641])). % 166.52/166.28 cnf(11507,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x115071),f906(x115071))),f329(f329(f257(f906(x115071),f906(x115071)),x115072),f118(x115071))),f148(x115071,x115073)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11510,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x115101),f906(x115101))),f329(f329(f257(f906(x115101),f906(x115101)),x115102),f118(x115101))),f150(x115101,x115103)))), % 166.52/166.28 inference(rename_variables,[],[4660])). % 166.52/166.28 cnf(11513,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x115131),f906(x115131))),f329(f329(f257(f906(x115131),f906(x115131)),x115132),f118(x115131))),f148(x115131,x115133)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(11516,plain, % 166.52/166.28 (~P1(f329(f329(f331(x115161),x115162),f191(f913(x115161,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11518,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x115181,x115182)),f329(f329(f257(x115181,x115182),f329(x115183,x115184)),f329(x115185,x115184))),f329(f312(f912(x115186,x115186),f912(x115181,x115182),f263(x115186,x115181,x115186,x115182,x115183,x115185)),f309(x115186,x115187))))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,10594,4641,11175,11266,11499,3518,3308,10504,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4185,11469,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,11412,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,3475,10820,10850,10859,10862,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,11374,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193])). % 166.52/166.28 cnf(11521,plain, % 166.52/166.28 (~P1(f329(f329(f331(x115211),x115212),f191(f913(x115211,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11524,plain, % 166.52/166.28 (~P1(f329(f329(f331(x115241),x115242),f191(f913(x115241,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11527,plain, % 166.52/166.28 (P1(f329(f329(f331(x115271),f329(x115272,x115273)),f329(f312(x115274,x115271,x115272),f247(f913(x115274,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(11529,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x115291,x115292)),x115293),f329(f312(f912(x115294,x115294),f912(x115291,x115292),f263(x115294,x115291,x115294,x115292,x115295,x115296)),f156(x115294,f118(f913(x115294,a905))))))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,4584,10597,10696,11149,4581,3206,3258,3374,10443,10446,10539,10542,3351,3873,3248,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,10594,4641,11175,11266,11499,3518,3308,10504,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,4634,10411,10414,10440,10935,10948,11062,4647,3853,3618,3999,3442,3443,3417,4631,4589,4185,11469,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,11412,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,3475,10820,10850,10859,10862,3507,3934,3871,10483,4640,10431,10808,10811,11288,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4653,10722,4658,11184,11187,11374,11496,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359])). % 166.52/166.28 cnf(11530,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x115301,x115301)),f329(f329(f257(x115301,x115301),x115302),x115303)),f156(x115301,f118(f913(x115301,a905)))))), % 166.52/166.28 inference(rename_variables,[],[4658])). % 166.52/166.28 cnf(11538,plain, % 166.52/166.28 (E(f119(x115381,f118(x115381)),f118(x115381))), % 166.52/166.28 inference(rename_variables,[],[3258])). % 166.52/166.28 cnf(11541,plain, % 166.52/166.28 (~E(f329(a117,x115411),x115411)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11548,plain, % 166.52/166.28 (~E(f329(a117,x115481),x115481)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11553,plain, % 166.52/166.28 (E(f329(f287(x115531,x115531),f268(x115531,x115532)),x115532)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11556,plain, % 166.52/166.28 (E(f329(f287(x115561,x115561),f268(x115561,x115562)),x115562)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11562,plain, % 166.52/166.28 (~E(f329(a117,x115621),x115621)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11567,plain, % 166.52/166.28 (~E(f329(f329(f82(a1),x115671),x115671),a102)), % 166.52/166.28 inference(rename_variables,[],[4592])). % 166.52/166.28 cnf(11574,plain, % 166.52/166.28 (E(f329(f329(f23(a905),f2(a905)),x115741),f2(a905))), % 166.52/166.28 inference(rename_variables,[],[3330])). % 166.52/166.28 cnf(11577,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x115771),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11584,plain, % 166.52/166.28 (E(f329(f329(f82(a1),f329(f329(f83(a1),x115841),f329(f329(f38(a1),x115842),x115841))),f47(a1,x115842,x115841)),x115842)), % 166.52/166.28 inference(rename_variables,[],[3966])). % 166.52/166.28 cnf(11608,plain, % 166.52/166.28 (~E(f329(a117,x116081),x116081)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11611,plain, % 166.52/166.28 (~E(f329(a117,x116111),x116111)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11633,plain, % 166.52/166.28 (~E(f329(a117,x116331),x116331)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11636,plain, % 166.52/166.28 (~E(f329(f329(f154(x116361),x116362),x116363),x116363)), % 166.52/166.28 inference(rename_variables,[],[4594])). % 166.52/166.28 cnf(11643,plain, % 166.52/166.28 (~P1(f329(f329(f175(x116431),f118(x116431)),x116432))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11649,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),f2(a905)),f329(a117,x116491)))), % 166.52/166.28 inference(rename_variables,[],[3494])). % 166.52/166.28 cnf(11650,plain, % 166.52/166.28 (~E(f329(a117,x116501),x116501)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11653,plain, % 166.52/166.28 (P1(f329(f329(f331(x116531),x116532),f247(f913(x116531,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(11665,plain, % 166.52/166.28 (~E(f329(a117,x116651),x116651)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11668,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x116681),x116681))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(11675,plain, % 166.52/166.28 (P1(f329(f68(x116751,x116752,x116753,x116754,f191(f913(x116751,a900))),x116754))), % 166.52/166.28 inference(rename_variables,[],[4327])). % 166.52/166.28 cnf(11676,plain, % 166.52/166.28 (E(f329(f287(x116761,x116761),f268(x116761,x116762)),x116762)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11689,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x116891),x116892)),x116892))), % 166.52/166.28 inference(rename_variables,[],[4654])). % 166.52/166.28 cnf(11692,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x116921)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(11708,plain, % 166.52/166.28 (~E(f329(f329(f106(a905),f329(a117,x117081)),x117081),f329(a117,x117081))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,4584,10597,10696,11149,3334,4581,3022,3026,3028,3032,3033,3040,3042,3053,3058,3059,3067,3080,3095,3096,3106,3107,3111,3113,3164,3165,3180,3305,3206,4567,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,3351,3873,3248,3966,11584,3313,3244,3272,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,3494,4634,10411,10414,10440,10935,10948,11062,11491,11577,4647,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,11049,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,3475,10820,10850,10859,10862,3507,3934,3871,10483,4640,10431,10808,10811,11288,11304,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,10817,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467])). % 166.52/166.28 cnf(11715,plain, % 166.52/166.28 (E(f329(f287(x117151,x117151),f268(x117151,x117152)),x117152)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11720,plain, % 166.52/166.28 (E(f329(f287(x117201,x117201),f268(x117201,x117202)),x117202)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11723,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x117231)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(11728,plain, % 166.52/166.28 (~E(f329(a117,x117281),x117281)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11737,plain, % 166.52/166.28 (~P1(f329(f329(f175(x117371),f118(x117371)),x117372))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11758,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x117581)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(11761,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x117611),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11762,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x117621),f329(a117,x117621)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(11765,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x117651)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(11767,plain, % 166.52/166.28 (~P14(x117671,f331(f913(x117672,a900)))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,4584,10597,10696,11149,3334,4581,3022,3026,3028,3029,3032,3033,3040,3041,3042,3053,3058,3059,3067,3068,3080,3095,3096,3106,3107,3111,3113,3164,3165,3180,3305,3206,4567,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,3351,3873,3248,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,3866,3397,3494,4634,10411,10414,10440,10935,10948,11062,11491,11577,4647,11692,11723,11758,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,11049,4630,10451,10480,10972,11013,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,4640,10431,10808,10811,11288,11304,3435,10853,11007,4233,4637,3942,4622,4625,3390,3394,4624,4623,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,10817,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625])). % 166.52/166.28 cnf(11768,plain, % 166.52/166.28 (~P1(f329(f329(f331(x117681),x117682),f191(f913(x117681,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11769,plain, % 166.52/166.28 (P1(f329(f329(f331(f913(x117691,a900)),x117692),f329(f310(x117691),x117692)))), % 166.52/166.28 inference(rename_variables,[],[3778])). % 166.52/166.28 cnf(11784,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x117841)),x117841))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11785,plain, % 166.52/166.28 (~E(f329(a117,x117851),x117851)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11795,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x117951),x117952)),x117951))), % 166.52/166.28 inference(rename_variables,[],[4655])). % 166.52/166.28 cnf(11798,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x117981)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(11801,plain, % 166.52/166.28 (~E(f329(a117,x118011),x118011)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(11814,plain, % 166.52/166.28 (P1(f329(f329(f331(x118141),x118142),f329(f329(f311(x118141),x118142),x118143)))), % 166.52/166.28 inference(rename_variables,[],[3725])). % 166.52/166.28 cnf(11815,plain, % 166.52/166.28 (~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x118151)))))), % 166.52/166.28 inference(rename_variables,[],[4656])). % 166.52/166.28 cnf(11818,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),f329(f329(f23(a905),x118181),x118182)),f329(a117,x118181)))), % 166.52/166.28 inference(rename_variables,[],[3866])). % 166.52/166.28 cnf(11821,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f47(a905,x118211,x118212)),x118211))), % 166.52/166.28 inference(rename_variables,[],[3871])). % 166.52/166.28 cnf(11827,plain, % 166.52/166.28 (E(f329(f287(x118271,x118271),f268(x118271,x118272)),x118272)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11832,plain, % 166.52/166.28 (E(f329(f329(f137(x118321),f172(x118321,x118322,x118323)),f172(x118321,x118324,x118323)),f329(f329(f137(x118321),f172(x118321,x118324,x118323)),f172(x118321,x118322,x118323)))), % 166.52/166.28 inference(rename_variables,[],[3980])). % 166.52/166.28 cnf(11837,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x118371)),x118371))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11846,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x118461),x118461))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(11849,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f47(a905,x118491,x118492)),x118491))), % 166.52/166.28 inference(rename_variables,[],[3871])). % 166.52/166.28 cnf(11850,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x118501))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(11852,plain, % 166.52/166.28 (~P1(f329(f329(f239(a1),f80(a1)),f2(a1)))), % 166.52/166.28 inference(scs_inference,[],[3651,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3334,4581,3022,3025,3026,3028,3029,3032,3033,3040,3041,3042,3053,3058,3059,3067,3068,3080,3095,3096,3106,3107,3111,3113,3164,3165,3167,3180,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,3866,3397,3494,4634,10411,10414,10440,10935,10948,11062,11491,11577,4647,11692,11723,11758,11765,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,3414,10608,10838,10930,11049,4630,10451,10480,10972,11013,11022,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,4640,10431,10808,10811,11288,11304,11784,3435,10853,11007,11080,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,4657,10616,10728,4288,4196,3894,4654,10456,10459,10814,10817,4655,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907])). % 166.52/166.28 cnf(11867,plain, % 166.52/166.28 (E(f329(f287(x118671,x118671),f268(x118671,x118672)),x118672)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(11870,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x118701),x118701))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(11873,plain, % 166.52/166.28 (P1(f329(f329(f331(x118731),f329(x118732,x118733)),f329(f312(x118734,x118731,x118732),f247(f913(x118734,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(11874,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x118741)),x118741))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11877,plain, % 166.52/166.28 (P1(f329(f329(f331(x118771),f329(x118772,x118773)),f329(f312(x118774,x118771,x118772),f247(f913(x118774,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(11878,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x118781),x118782)),x118782))), % 166.52/166.28 inference(rename_variables,[],[4654])). % 166.52/166.28 cnf(11883,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x118831),x118832)),x118831))), % 166.52/166.28 inference(rename_variables,[],[4655])). % 166.52/166.28 cnf(11886,plain, % 166.52/166.28 (~P1(f329(f329(f175(x118861),f118(x118861)),x118862))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11889,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x118891),x118891))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11895,plain, % 166.52/166.28 (~P35(x118951,x118952,f118(x118951))), % 166.52/166.28 inference(rename_variables,[],[4605])). % 166.52/166.28 cnf(11898,plain, % 166.52/166.28 (P1(f329(f329(f331(x118981),x118982),f329(f329(f311(x118981),x118982),x118983)))), % 166.52/166.28 inference(rename_variables,[],[3725])). % 166.52/166.28 cnf(11911,plain, % 166.52/166.28 (~P1(f329(f329(f331(x119111),x119112),f191(f913(x119111,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11914,plain, % 166.52/166.28 (E(f329(f329(f16(x119141,x119142),x119143),x119144),x119143)), % 166.52/166.28 inference(rename_variables,[],[3404])). % 166.52/166.28 cnf(11917,plain, % 166.52/166.28 (E(f329(f329(f16(x119171,x119172),x119173),x119174),x119173)), % 166.52/166.28 inference(rename_variables,[],[3404])). % 166.52/166.28 cnf(11929,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),f2(a905)),f329(a117,x119291)))), % 166.52/166.28 inference(rename_variables,[],[3494])). % 166.52/166.28 cnf(11932,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x119321),x119321))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(11935,plain, % 166.52/166.28 (P1(f329(f63(x119351),f329(f175(x119351),x119352)))), % 166.52/166.28 inference(rename_variables,[],[3454])). % 166.52/166.28 cnf(11938,plain, % 166.52/166.28 (P1(f329(f63(x119381),f329(f175(x119381),x119382)))), % 166.52/166.28 inference(rename_variables,[],[3454])). % 166.52/166.28 cnf(11941,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x119411))),f329(f105(a1),x119412)))), % 166.52/166.28 inference(rename_variables,[],[3895])). % 166.52/166.28 cnf(11944,plain, % 166.52/166.28 (~P1(f329(f329(f331(x119441),x119442),f191(f913(x119441,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(11958,plain, % 166.52/166.28 (~P1(f329(f329(f331(a905),f2(a905)),f329(f306(a905),x119581)))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3053,3058,3059,3067,3068,3080,3095,3096,3106,3107,3111,3113,3164,3165,3167,3180,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,4647,11692,11723,11758,11765,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,3414,10608,10838,10930,11049,3490,4630,10451,10480,10972,11013,11022,11846,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,4640,10431,10808,10811,11288,11304,11784,11837,11874,3435,10853,11007,11080,3895,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256])). % 166.52/166.28 cnf(11960,plain, % 166.52/166.28 (~P1(f329(f329(f331(a905),x119601),f329(f285(a905),f2(a905))))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3053,3058,3059,3067,3068,3080,3095,3096,3106,3107,3111,3113,3164,3165,3167,3180,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,4647,11692,11723,11758,11765,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,3414,10608,10838,10930,11049,3490,4630,10451,10480,10972,11013,11022,11846,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,4640,10431,10808,10811,11288,11304,11784,11837,11874,3435,10853,11007,11080,3895,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257])). % 166.52/166.28 cnf(11962,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f47(a905,x119621,f191(a905))),x119621))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3053,3058,3059,3067,3068,3080,3095,3096,3106,3107,3111,3113,3164,3165,3167,3180,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,4647,11692,11723,11758,11765,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,3414,10608,10838,10930,11049,11668,3490,4630,10451,10480,10972,11013,11022,11846,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,4640,10431,10808,10811,11288,11304,11784,11837,11874,3435,10853,11007,11080,3895,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287])). % 166.52/166.28 cnf(11963,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x119631),x119631))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(11966,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x119661),x119661))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(11975,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x119751),x119751))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(11978,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x119781),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11983,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x119831),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(11992,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x119921))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(11993,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x119931)),x119931))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(11996,plain, % 166.52/166.28 (~P1(f329(f329(f175(x119961),f118(x119961)),x119962))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(11999,plain, % 166.52/166.28 (~P1(f329(f329(f175(x119991),f118(x119991)),x119992))), % 166.52/166.28 inference(rename_variables,[],[4639])). % 166.52/166.28 cnf(12002,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x120021),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12003,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x120031),f329(a117,x120031)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12021,plain, % 166.52/166.28 (P1(f329(f329(f240(a1),f329(f81(a1),f80(a1))),f2(a1)))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,3414,10608,10838,10930,11049,11668,11963,11966,3490,4630,10451,10480,10972,11013,11022,11846,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,3435,10853,11007,11080,11850,3895,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563])). % 166.52/166.28 cnf(12024,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x120241)),x120241))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(12027,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x120271)),x120271))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(12030,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x120301)),x120301))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(12033,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x120331)),x120331))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(12036,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x120361),x120361))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12039,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x120391),x120391))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12042,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x120421),x120421))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12045,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x120451),x120451))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12062,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x120621),x120621))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12067,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x120671),f329(f77(a1),x120671)))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3873,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4059,11001,4108,3778,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,3414,10608,10838,10930,11049,11668,11963,11966,11975,3490,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,3435,10853,11007,11080,11850,3895,4233,4637,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661])). % 166.52/166.28 cnf(12068,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x120681),x120681))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12079,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x120791),x120791))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12082,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(f912(f906(x120821),f906(x120821)),a900)),f161(x120821,x120822)),f309(f906(x120821),f160(x120821,x120822))))), % 166.52/166.28 inference(rename_variables,[],[4113])). % 166.52/166.28 cnf(12089,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x120891),f329(a117,x120891)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12092,plain, % 166.52/166.28 (P1(f329(f329(f331(f913(x120921,a900)),x120922),f329(f310(x120921),x120922)))), % 166.52/166.28 inference(rename_variables,[],[3778])). % 166.52/166.28 cnf(12093,plain, % 166.52/166.28 (~E(f329(a117,x120931),x120931)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12098,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x120981),x120981))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12103,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x121031),x121031))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12114,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x121141,a900)),x121142),f329(f329(f311(x121141),x121143),x121142)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(12117,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x121171),x121171))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12118,plain, % 166.52/166.28 (~E(f329(a117,x121181),x121181)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12129,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x121291),x121291))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12130,plain, % 166.52/166.28 (~E(f329(a117,x121301),x121301)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12133,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x121331),x121331))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12136,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x121361),x121361))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12139,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x121391),x121391))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12142,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x121421),x121421))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12145,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x121451),x121451))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12148,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x121481),x121481))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12151,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x121511),x121511))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12152,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x121521),f329(a117,x121521)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12159,plain, % 166.52/166.28 (~E(f329(a117,x121591),x121591)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12164,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x121641),x121641))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12165,plain, % 166.52/166.28 (~E(f329(a117,x121651),x121651)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12168,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x121681),x121681))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12185,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x121851),x121851))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12190,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x121901))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(12204,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122041),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12207,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122071),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12210,plain, % 166.52/166.28 (~P1(f329(f329(f331(x122101),x122102),f191(f913(x122101,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12213,plain, % 166.52/166.28 (~P1(f329(f329(f331(x122131),x122132),f191(f913(x122131,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12215,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122151),f329(f329(f106(a905),x122152),x122151)))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,3778,11769,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182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% 166.52/166.28 cnf(12216,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122161),x122161))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12218,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122181),f329(f329(f106(a905),x122181),x122182)))), % 166.52/166.28 inference(scs_inference,[],[3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3032,3033,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,3866,11818,3397,3494,11649,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,3778,11769,4142,3796,11201,11271,11358,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136])). % 166.52/166.28 cnf(12219,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122191),x122191))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12222,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122221),x122221))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12225,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122251),x122251))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12228,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x122281),f329(a117,x122281)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12235,plain, % 166.52/166.28 (P1(f329(f329(f331(f913(x122351,a900)),x122352),f329(f310(x122351),x122352)))), % 166.52/166.28 inference(rename_variables,[],[3778])). % 166.52/166.28 cnf(12240,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x122401,a900)),x122402),f329(f329(f311(x122401),x122403),x122402)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(12247,plain, % 166.52/166.28 (~P1(f329(f329(f331(x122471),x122472),f191(f913(x122471,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12256,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x122561,a900)),x122562),f247(f913(x122561,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(12257,plain, % 166.52/166.28 (~E(f329(a117,x122571),x122571)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12260,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x122601,a900)),f329(f175(x122601),f329(f139(x122601,x122602),x122603))),f329(f175(x122601),x122603)))), % 166.52/166.28 inference(rename_variables,[],[4059])). % 166.52/166.28 cnf(12266,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x122661),f329(a117,x122661)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12275,plain, % 166.52/166.28 (P42(a25,x122751,x122752,x122751)), % 166.52/166.28 inference(rename_variables,[],[3627])). % 166.52/166.28 cnf(12277,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(x122771,x122771)),x122772),f156(x122771,f118(f913(x122771,a905)))))), % 166.52/166.28 inference(scs_inference,[],[3627,3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,3778,11769,12092,4142,3796,11201,11271,11358,11423,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,501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% 166.52/166.28 cnf(12278,plain, % 166.52/166.28 (E(f329(f287(x122781,x122781),f268(x122781,x122782)),x122782)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12289,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x122891)),x122891))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(12290,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x122901),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12293,plain, % 166.52/166.28 (P1(f329(f63(x122931),f191(f913(x122931,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(12294,plain, % 166.52/166.28 (~P1(f329(f329(f331(x122941),x122942),f191(f913(x122941,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12297,plain, % 166.52/166.28 (P42(a25,x122971,x122972,x122971)), % 166.52/166.28 inference(rename_variables,[],[3627])). % 166.52/166.28 cnf(12303,plain, % 166.52/166.28 (~P42(f29(f329(f331(f912(f906(x123031),f906(x123031))),f329(f329(f257(f906(x123031),f906(x123031)),x123032),f118(x123031))),x123033,f32(x123034,f32(f329(a26,x123035),x123036))),f150(x123031,x123037),f2(a905),x123038)), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,3778,11769,12092,4142,3796,11201,11271,11358,11423,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,3709,11254,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515])). % 166.52/166.28 cnf(12306,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x123061,a900)),f329(f175(x123061),f179(x123061,x123062,x123063))),f329(f175(x123061),x123062)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(12309,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123091),x123091))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12312,plain, % 166.52/166.28 (P24(x123121,x123121,f5(x123121),x123122)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12317,plain, % 166.52/166.28 (P1(f329(f329(f331(f913(x123171,a900)),x123172),f329(f310(x123171),x123172)))), % 166.52/166.28 inference(rename_variables,[],[3778])). % 166.52/166.28 cnf(12324,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123241),x123241))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12327,plain, % 166.52/166.28 (~P1(f329(f329(f331(x123271),x123272),f191(f913(x123271,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12330,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x123301,a900)),x123302),f329(f329(f311(x123301),x123303),x123302)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(12331,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x123311,a900)),x123312),f247(f913(x123311,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(12338,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123381),x123381))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12341,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123411),x123411))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12344,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123441),x123441))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12347,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x123471),x123471))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12350,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x123501),f329(a117,x123501)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12353,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x123531),f329(a117,x123531)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12356,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x123561,a900)),x123562),x123562))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12358,plain, % 166.52/166.28 (~P1(f329(f329(f239(a1),f329(f329(f23(a1),a85),a102)),f2(a1)))), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,11261,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,11938,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,11198,3778,11769,12092,12235,4142,3796,11201,11271,11358,11423,12256,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,12240,3709,11254,11377,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754])). % 166.52/166.28 cnf(12363,plain, % 166.52/166.28 (P1(f329(f329(f331(f913(x123631,a900)),x123632),f329(f310(x123631),x123632)))), % 166.52/166.28 inference(rename_variables,[],[3778])). % 166.52/166.28 cnf(12369,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f329(f82(a1),a85),a85)),f2(a1)))), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,11261,4604,4605,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3471,11004,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,11938,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,11198,3778,11769,12092,12235,12317,4142,3796,11201,11271,11358,11423,12256,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,3567,10701,10789,11057,11104,11323,11326,11412,11488,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,3435,10853,11007,11080,11850,11992,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,12240,3709,11254,11377,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,100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% 166.52/166.28 cnf(12372,plain, % 166.52/166.28 (~E(f329(a117,x123721),x123721)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12373,plain, % 166.52/166.28 (E(f329(f312(x123731,x123731,f5(x123731)),x123732),x123732)), % 166.52/166.28 inference(rename_variables,[],[3471])). % 166.52/166.28 cnf(12376,plain, % 166.52/166.28 (P32(x123761,x123762,f118(x123761),f118(x123761))), % 166.52/166.28 inference(rename_variables,[],[3659])). % 166.52/166.28 cnf(12379,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x123791,a900)),f329(f175(x123791),f179(x123791,x123792,x123793))),f329(f175(x123791),x123792)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(12380,plain, % 166.52/166.28 (P1(f329(f63(x123801),f329(f175(x123801),x123802)))), % 166.52/166.28 inference(rename_variables,[],[3454])). % 166.52/166.28 cnf(12391,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x123911),x123911))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12394,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x123941),x123941))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12399,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x123991))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(12406,plain, % 166.52/166.28 (P12(a905,f329(f171(a905),f329(f329(f157(f906(x124061),a905),f192(f906(x124061))),f182(x124061,x124062))))), % 166.52/166.28 inference(rename_variables,[],[3976])). % 166.52/166.28 cnf(12409,plain, % 166.52/166.28 (P24(x124091,x124091,f5(x124091),x124092)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12412,plain, % 166.52/166.28 (P24(x124121,x124121,f5(x124121),x124122)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12415,plain, % 166.52/166.28 (P1(f329(f329(f331(f906(x124151)),f118(x124151)),f164(x124151,x124152)))), % 166.52/166.28 inference(rename_variables,[],[3609])). % 166.52/166.28 cnf(12418,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x124181,f913(x124182,a900))),x124183),x124184))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12423,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x124231),x124231))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12424,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x124241))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(12426,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f2(a1)),f479(x124261,f191(f913(x124262,f913(x124263,a900))),f80(a1))))), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,11261,12312,12409,3659,4604,4605,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,3777,4463,4464,4592,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,11938,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,4059,11001,4108,11198,12306,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,12240,3709,11254,11377,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,4288,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9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% 166.52/166.28 cnf(12427,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x124271,f913(x124272,a900))),x124273),x124274))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12430,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(f912(f906(x124301),f906(x124301)),a900)),f161(x124301,x124302)),f309(f906(x124301),f160(x124301,x124302))))), % 166.52/166.28 inference(rename_variables,[],[4113])). % 166.52/166.28 cnf(12436,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124361,a900)),f329(f312(x124362,x124361,x124363),f329(f313(x124362,x124361,x124363),x124364))),x124364))), % 166.52/166.28 inference(rename_variables,[],[4288])). % 166.52/166.28 cnf(12439,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124391,a900)),f329(f175(x124391),f179(x124391,x124392,x124393))),f329(f175(x124391),x124392)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(12440,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124401,a900)),f329(f175(x124401),f329(f139(x124401,x124402),x124403))),f329(f175(x124401),x124403)))), % 166.52/166.28 inference(rename_variables,[],[4059])). % 166.52/166.28 cnf(12443,plain, % 166.52/166.28 (~P1(f329(f329(f240(f913(x124431,a900)),x124432),f191(f913(x124431,a900))))), % 166.52/166.28 inference(rename_variables,[],[4651])). % 166.52/166.28 cnf(12446,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x124461),x124461))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12454,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124541,a900)),f329(f312(x124542,x124541,x124543),f329(f313(x124542,x124541,x124543),x124544))),x124544))), % 166.52/166.28 inference(rename_variables,[],[4288])). % 166.52/166.28 cnf(12459,plain, % 166.52/166.28 (P1(f329(f329(f331(f906(x124591)),f118(x124591)),f164(x124591,x124592)))), % 166.52/166.28 inference(rename_variables,[],[3609])). % 166.52/166.28 cnf(12462,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x124621),f906(x124621))),f329(f329(f257(f906(x124621),f906(x124621)),x124622),f118(x124621))),f148(x124621,x124623)))), % 166.52/166.28 inference(rename_variables,[],[4659])). % 166.52/166.28 cnf(12465,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x124651),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12467,plain, % 166.52/166.28 (~P1(f329(f63(x124671),f247(f913(x124671,a900))))), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,11261,12312,12409,3659,3668,3384,4604,4605,3281,3284,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,4584,10597,10696,11149,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,3344,4048,4594,10434,10594,11455,3404,11914,4641,11175,11266,11499,11502,3518,3308,10504,10823,3309,3571,3225,3330,11574,4192,4050,11195,11320,11386,4659,11107,11333,11449,11472,11507,11513,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,3777,4463,4464,4592,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3602,4648,4185,11469,3735,3454,11935,11938,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,4154,4113,12082,12430,4059,11001,12260,4108,11198,12306,12379,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,4017,11527,11873,3861,11120,11126,11142,12114,12240,3709,11254,11377,12356,3863,10856,11217,11383,11417,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,4288,10994,12436,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9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% 166.52/166.28 cnf(12468,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124681,a900)),x124682),x124682))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12471,plain, % 166.52/166.28 (~P1(f329(f329(f331(x124711),x124712),f191(f913(x124711,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12474,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x124741,f913(x124742,a900))),x124743),x124744))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12477,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124771,a900)),f329(f312(x124772,x124771,x124773),f329(f313(x124772,x124771,x124773),x124774))),x124774))), % 166.52/166.28 inference(rename_variables,[],[4288])). % 166.52/166.28 cnf(12478,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124781,a900)),x124782),x124782))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12483,plain, % 166.52/166.28 (E(f329(f287(x124831,x124831),f268(x124831,x124832)),x124832)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12486,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x124861,a900)),f329(f175(x124861),f179(x124861,x124862,x124863))),f329(f175(x124861),x124862)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(12487,plain, % 166.52/166.28 (P1(f329(f63(x124871),f329(f175(x124871),x124872)))), % 166.52/166.28 inference(rename_variables,[],[3454])). % 166.52/166.28 cnf(12490,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x124901),x124901))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12493,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x124931),x124931))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12496,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x124961),x124961))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12507,plain, % 166.52/166.28 (P24(x125071,x125071,f5(x125071),x125072)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12512,plain, % 166.52/166.28 (~P1(f329(f329(f331(x125121),x125122),f191(f913(x125121,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12515,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x125151,x125151)),f329(f329(f257(x125151,x125151),x125152),x125152)),f309(x125151,x125153)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(12518,plain, % 166.52/166.28 (~P1(f329(f329(f331(x125181),x125182),f191(f913(x125181,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12521,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x125211,x125211)),f329(f329(f257(x125211,x125211),x125212),x125212)),f309(x125211,x125213)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(12531,plain, % 166.52/166.28 (~E(f329(f329(f154(x125311),x125312),x125313),x125313)), % 166.52/166.28 inference(rename_variables,[],[4594])). % 166.52/166.28 cnf(12534,plain, % 166.52/166.28 (P1(f329(f329(f331(x125341),x125342),f247(f913(x125341,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(12535,plain, % 166.52/166.28 (~E(f329(a117,x125351),x125351)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12538,plain, % 166.52/166.28 (P1(f329(f329(f331(f906(x125381)),f118(x125381)),f164(x125381,x125382)))), % 166.52/166.28 inference(rename_variables,[],[3609])). % 166.52/166.28 cnf(12539,plain, % 166.52/166.28 (~E(f329(f329(f154(x125391),x125392),x125393),f118(x125391))), % 166.52/166.28 inference(rename_variables,[],[4601])). % 166.52/166.28 cnf(12542,plain, % 166.52/166.28 (P24(x125421,x125421,f5(x125421),x125422)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12545,plain, % 166.52/166.28 (P1(f329(f329(f331(x125451),f329(x125452,x125453)),f329(f312(x125454,x125451,x125452),f247(f913(x125454,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(12546,plain, % 166.52/166.28 (P24(x125461,x125461,f5(x125461),x125462)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12549,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x125491,a900)),f191(f913(x125491,a900))),x125492))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(12550,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x125501,a900)),x125502),x125502))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12553,plain, % 166.52/166.28 (P1(f329(f329(f331(x125531),f329(x125532,x125533)),f329(f312(x125534,x125531,x125532),f247(f913(x125534,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(12554,plain, % 166.52/166.28 (P24(x125541,x125541,f5(x125541),x125542)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12557,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f906(x125571),f906(x125571))),f329(f329(f257(f906(x125571),f906(x125571)),f118(x125571)),f118(x125571))),f161(x125571,x125572)))), % 166.52/166.28 inference(rename_variables,[],[4192])). % 166.52/166.28 cnf(12561,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x125611),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12567,plain, % 166.52/166.28 (E(f329(f329(f137(x125671),x125672),f118(x125671)),x125672)), % 166.52/166.28 inference(rename_variables,[],[3345])). % 166.52/166.28 cnf(12568,plain, % 166.52/166.28 (~E(f329(f329(f154(x125681),x125682),x125683),x125683)), % 166.52/166.28 inference(rename_variables,[],[4594])). % 166.52/166.28 cnf(12571,plain, % 166.52/166.28 (E(f329(f329(f137(x125711),x125712),f118(x125711)),x125712)), % 166.52/166.28 inference(rename_variables,[],[3345])). % 166.52/166.28 cnf(12572,plain, % 166.52/166.28 (~E(f329(f329(f154(x125721),x125722),x125723),x125723)), % 166.52/166.28 inference(rename_variables,[],[4594])). % 166.52/166.28 cnf(12575,plain, % 166.52/166.28 (E(f329(f329(f137(x125751),x125752),f118(x125751)),x125752)), % 166.52/166.28 inference(rename_variables,[],[3345])). % 166.52/166.28 cnf(12582,plain, % 166.52/166.28 (P54(x125821,f268(x125821,x125822))), % 166.52/166.28 inference(rename_variables,[],[3285])). % 166.52/166.28 cnf(12585,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x125851,a900)),f329(f175(x125851),f329(f139(x125851,x125852),x125853))),f329(f175(x125851),x125853)))), % 166.52/166.28 inference(rename_variables,[],[4059])). % 166.52/166.28 cnf(12586,plain, % 166.52/166.28 (E(f329(f312(x125861,x125861,f5(x125861)),x125862),x125862)), % 166.52/166.28 inference(rename_variables,[],[3471])). % 166.52/166.28 cnf(12591,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x125911,a900)),x125912),f247(f913(x125911,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(12595,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x125951),x125951))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12596,plain, % 166.52/166.28 (~E(f329(a117,x125961),x125961)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12599,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x125991,a900)),f191(f913(x125991,a900))),x125992))), % 166.52/166.28 inference(rename_variables,[],[3863])). % 166.52/166.28 cnf(12602,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x126021),x126021))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12605,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126051,a900)),x126052),x126052))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12610,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126101,a900)),x126102),f329(f329(f311(x126101),x126103),x126102)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(12613,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126131,a900)),x126132),x126132))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12614,plain, % 166.52/166.28 (~P1(f329(f329(f331(x126141),x126142),f191(f913(x126141,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12617,plain, % 166.52/166.28 (~P1(f329(f329(f331(x126171),x126172),f191(f913(x126171,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12625,plain, % 166.52/166.28 (~P1(f329(f329(f239(f913(f912(x126251,x126251),a900)),f329(f312(f912(x126251,x126251),f912(x126251,x126251),f5(f912(x126251,x126251))),f247(f913(f912(x126251,x126251),a900)))),f329(f312(f912(x126251,x126251),f912(x126251,x126251),f5(f912(x126251,x126251))),f191(f913(f912(x126251,x126251),a900)))))), % 166.52/166.28 inference(scs_inference,[],[3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,3345,12567,12571,3351,3360,3873,4178,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,3475,10820,10850,10859,10862,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,3861,11120,11126,11142,12114,12240,12330,3709,11254,11377,12356,12468,12478,12550,12605,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720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% 166.52/166.28 cnf(12626,plain, % 166.52/166.28 (P24(x126261,x126261,f5(x126261),x126262)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12629,plain, % 166.52/166.28 (E(f329(f192(f906(x126291)),f172(x126291,x126292,x126293)),x126292)), % 166.52/166.28 inference(rename_variables,[],[3481])). % 166.52/166.28 cnf(12632,plain, % 166.52/166.28 (P25(x126321,x126321,f33(x126321),x126322,x126322)), % 166.52/166.28 inference(rename_variables,[],[4074])). % 166.52/166.28 cnf(12635,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x126351),x126351))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12636,plain, % 166.52/166.28 (P1(f329(f247(f913(x126361,a900)),x126362))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(12639,plain, % 166.52/166.28 (~P1(f329(f329(f331(x126391),x126392),f191(f913(x126391,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12642,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126421,a900)),x126422),f329(f329(f311(x126421),x126423),x126422)))), % 166.52/166.28 inference(rename_variables,[],[3861])). % 166.52/166.28 cnf(12645,plain, % 166.52/166.28 (P1(f329(f329(f331(x126451),f329(x126452,x126453)),f329(f312(x126454,x126451,x126452),f247(f913(x126454,a900)))))), % 166.52/166.28 inference(rename_variables,[],[4017])). % 166.52/166.28 cnf(12646,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x126461,x126461)),f329(f329(f257(x126461,x126461),x126462),x126462)),f309(x126461,x126463)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(12649,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x126491,x126491)),f329(f329(f257(x126491,x126491),x126492),x126492)),f309(x126491,x126493)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(12651,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f329(f192(f906(x126511)),x126512)),f329(f192(f906(x126511)),f180(x126511,f247(f913(x126513,a900)),x126512))))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,3345,12567,12571,3351,3360,3873,4178,3481,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,12646,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8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% 166.52/166.28 cnf(12652,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x126521),x126521))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12653,plain, % 166.52/166.28 (P1(f329(f247(f913(x126531,a900)),x126532))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(12656,plain, % 166.52/166.28 (P1(f329(f63(x126561),f329(f175(x126561),x126562)))), % 166.52/166.28 inference(rename_variables,[],[3454])). % 166.52/166.28 cnf(12661,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f906(x126611),f906(x126611))),f329(f329(f257(f906(x126611),f906(x126611)),f118(x126611)),f118(x126611))),f329(f329(f291(f906(x126611),f906(x126611),f906(x126611)),f161(x126611,x126612)),f161(x126611,x126612))))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,3345,12567,12571,12575,3351,3360,3873,4178,3481,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,12646,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581])). % 166.52/166.28 cnf(12663,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x126631,x126631)),f329(f329(f257(x126631,x126631),x126632),x126632)),f329(f329(f291(x126631,x126631,x126631),f309(x126631,x126633)),f309(x126631,f309(x126631,x126633)))))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,3345,12567,12571,12575,3351,3360,3873,4178,3481,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,12646,12649,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591])). % 166.52/166.28 cnf(12666,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x126661,f913(x126662,a900))),x126663),x126664))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12669,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x126691,f913(x126692,a900))),x126693),x126694))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12672,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126721,a900)),x126722),f247(f913(x126721,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(12675,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(x126751,x126751)),f329(f329(f257(x126751,x126751),x126752),x126752)),f309(x126751,x126753)))), % 166.52/166.28 inference(rename_variables,[],[4050])). % 166.52/166.28 cnf(12678,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x126781),x126782)),x126782))), % 166.52/166.28 inference(rename_variables,[],[4654])). % 166.52/166.28 cnf(12679,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x126791),f329(a117,x126791)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12682,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x126821,a900)),x126822),f247(f913(x126821,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(12685,plain, % 166.52/166.28 (E(f329(f287(x126851,x126851),f268(x126851,x126852)),x126852)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12692,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f912(f906(x126921),f906(x126921)),f912(f906(x126921),f906(x126921)))),f563(f309(f912(f906(x126921),f906(x126921)),x126922),f148(x126921,x126923),f912(f906(x126921),f906(x126921)))),f309(f912(f906(x126921),f906(x126921)),x126922)))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3750,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,3345,12567,12571,12575,3351,3360,3873,4178,3481,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,12474,12666,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8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% 166.52/166.28 cnf(12696,plain, % 166.52/166.28 (~P1(f329(f329(f331(x126961),x126962),f191(f913(x126961,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12697,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(f906(x126971),f906(x126971))),f329(f329(f257(f906(x126971),f906(x126971)),f118(x126971)),f118(x126971))),f161(x126971,x126972)))), % 166.52/166.28 inference(rename_variables,[],[4192])). % 166.52/166.28 cnf(12699,plain, % 166.52/166.28 (P1(f329(f329(f331(f912(a905,a905)),f329(f329(f257(a905,a905),f2(a905)),f329(a117,f2(a905)))),f329(f329(f291(a905,a905,a905),f309(a905,a319)),f309(a905,f309(a905,a319)))))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3750,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,3345,12567,12571,12575,3351,3360,3873,4178,3481,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,12474,12666,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,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% 166.52/166.28 cnf(12702,plain, % 166.52/166.28 (~P1(f329(f329(f331(x127021),x127022),f191(f913(x127021,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12707,plain, % 166.52/166.28 (P31(x127071,x127072,f118(x127071))), % 166.52/166.28 inference(rename_variables,[],[3350])). % 166.52/166.28 cnf(12710,plain, % 166.52/166.28 (E(f329(f192(f906(x127101)),f172(x127101,x127102,x127103)),x127102)), % 166.52/166.28 inference(rename_variables,[],[3481])). % 166.52/166.28 cnf(12713,plain, % 166.52/166.28 (~P1(f329(f329(f331(x127131),x127132),f191(f913(x127131,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12717,plain, % 166.52/166.28 (~P1(f329(f329(f331(f912(f906(x127171),f906(x127171))),f329(f329(f257(f906(x127171),f906(x127171)),x127172),x127172)),f150(x127171,f156(x127171,f118(f913(x127171,a905))))))), % 166.52/166.28 inference(scs_inference,[],[4074,3627,12275,3651,11261,12312,12409,12412,12507,12542,12546,12554,3659,3668,3384,3350,4604,4605,3281,3284,3285,4603,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,4584,10597,10696,11149,3470,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,3206,4567,3750,3980,11832,3258,11538,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,3345,12567,12571,12575,3351,3360,3873,4178,3481,12629,3248,3611,3966,11584,3313,3244,3272,3268,3255,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,4601,12539,3404,11914,4641,11175,11266,11499,11502,3518,4619,3308,10504,10823,3309,3571,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,4592,11567,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,12474,12666,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402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% 166.52/166.28 cnf(12719,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x127191),x127191))), % 166.52/166.28 inference(rename_variables,[],[4630])). % 166.52/166.28 cnf(12722,plain, % 166.52/166.28 (P1(f329(f329(f331(x127221),x127222),f247(f913(x127221,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(12726,plain, % 166.52/166.28 (~P1(f329(f329(f191(f913(x127261,f913(x127262,a900))),x127263),x127264))), % 166.52/166.28 inference(rename_variables,[],[4657])). % 166.52/166.28 cnf(12730,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x127301,a900)),x127302),x127302))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(12733,plain, % 166.52/166.28 (~P1(f329(f329(f331(x127331),x127332),f191(f913(x127331,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(12736,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x127361)),x127362)))), % 166.52/166.28 inference(rename_variables,[],[3894])). % 166.52/166.28 cnf(12739,plain, % 166.52/166.28 (~E(f329(a117,x127391),x127391)), % 166.52/166.28 inference(rename_variables,[],[4571])). % 166.52/166.28 cnf(12741,plain, % 166.52/166.28 (E(f329(f287(x127411,x127411),f268(x127411,x127412)),x127412)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12743,plain, % 166.52/166.28 (E(f329(f287(x127431,x127431),f268(x127431,x127432)),x127432)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12750,plain, % 166.52/166.28 (P55(x127501,x127502,f268(x127501,x127502))), % 166.52/166.28 inference(rename_variables,[],[3383])). % 166.52/166.28 cnf(12752,plain, % 166.52/166.28 (P55(x127521,x127522,f268(x127521,x127522))), % 166.52/166.28 inference(rename_variables,[],[3383])). % 166.52/166.28 cnf(12754,plain, % 166.52/166.28 (P55(x127541,x127542,f268(x127541,x127542))), % 166.52/166.28 inference(rename_variables,[],[3383])). % 166.52/166.28 cnf(12756,plain, % 166.52/166.28 (P24(x127561,x127561,f5(x127561),x127562)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12758,plain, % 166.52/166.28 (P24(x127581,x127581,f5(x127581),x127582)), % 166.52/166.28 inference(rename_variables,[],[3651])). % 166.52/166.28 cnf(12761,plain, % 166.52/166.28 (E(f329(f329(x127611,x127612),f329(f187(x127613,x127614,x127611),x127612)),f329(f187(x127613,x127614,x127611),f329(a117,x127612)))), % 166.52/166.28 inference(rename_variables,[],[3813])). % 166.52/166.28 cnf(12765,plain, % 166.52/166.28 (E(f329(f287(x127651,x127651),f268(x127651,x127652)),x127652)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12773,plain, % 166.52/166.28 (P32(x127731,x127732,f118(x127731),f118(x127731))), % 166.52/166.28 inference(rename_variables,[],[3659])). % 166.52/166.28 cnf(12775,plain, % 166.52/166.28 (P32(x127751,x127752,f118(x127751),f118(x127751))), % 166.52/166.28 inference(rename_variables,[],[3659])). % 166.52/166.28 cnf(12779,plain, % 166.52/166.28 (E(f329(f287(x127791,x127791),f268(x127791,x127792)),x127792)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12784,plain, % 166.52/166.28 (E(f329(f287(x127841,x127841),f268(x127841,x127842)),x127842)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12786,plain, % 166.52/166.28 (E(f329(f287(x127861,x127861),f268(x127861,x127862)),x127862)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12788,plain, % 166.52/166.28 (E(f329(f287(x127881,x127881),f268(x127881,x127882)),x127882)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12792,plain, % 166.52/166.28 (P42(a25,x127921,x127922,x127921)), % 166.52/166.28 inference(rename_variables,[],[3627])). % 166.52/166.28 cnf(12794,plain, % 166.52/166.28 (P42(a25,x127941,x127942,x127941)), % 166.52/166.28 inference(rename_variables,[],[3627])). % 166.52/166.28 cnf(12802,plain, % 166.52/166.28 (P37(x128021,f156(x128021,x128022))), % 166.52/166.28 inference(rename_variables,[],[3281])). % 166.52/166.28 cnf(12806,plain, % 166.52/166.28 (E(f329(f287(x128061,x128061),f268(x128061,x128062)),x128062)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12810,plain, % 166.52/166.28 (P25(x128101,x128101,f33(x128101),x128102,x128102)), % 166.52/166.28 inference(rename_variables,[],[4074])). % 166.52/166.28 cnf(12812,plain, % 166.52/166.28 (P25(x128121,x128121,f33(x128121),x128122,x128122)), % 166.52/166.28 inference(rename_variables,[],[4074])). % 166.52/166.28 cnf(12814,plain, % 166.52/166.28 (P25(x128141,x128141,f33(x128141),x128142,x128142)), % 166.52/166.28 inference(rename_variables,[],[4074])). % 166.52/166.28 cnf(12816,plain, % 166.52/166.28 (P25(x128161,x128161,f33(x128161),x128162,x128162)), % 166.52/166.28 inference(rename_variables,[],[4074])). % 166.52/166.28 cnf(12818,plain, % 166.52/166.28 (P58(x128181,f191(f913(x128181,a900)),x128182)), % 166.52/166.28 inference(rename_variables,[],[3433])). % 166.52/166.28 cnf(12822,plain, % 166.52/166.28 (E(f329(f287(x128221,x128221),f268(x128221,x128222)),x128222)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12830,plain, % 166.52/166.28 (E(f191(f913(f912(x128301,x128301),a900)),f268(x128301,f191(f913(x128301,a900))))), % 166.52/166.28 inference(rename_variables,[],[3485])). % 166.52/166.28 cnf(12837,plain, % 166.52/166.28 (P27(x128371,f2(a905),f329(f329(f329(f93(x128371),x128372),f329(a26,x128373)),x128374))), % 166.52/166.28 inference(rename_variables,[],[3789])). % 166.52/166.28 cnf(12843,plain, % 166.52/166.28 (P54(x128431,f268(x128431,x128432))), % 166.52/166.28 inference(rename_variables,[],[3285])). % 166.52/166.28 cnf(12848,plain, % 166.52/166.28 (P13(x128481,f913(x128481,a900),f311(x128481))), % 166.52/166.28 inference(rename_variables,[],[3387])). % 166.52/166.28 cnf(12852,plain, % 166.52/166.28 (P38(x128521,f268(x128521,x128522))), % 166.52/166.28 inference(rename_variables,[],[3282])). % 166.52/166.28 cnf(12856,plain, % 166.52/166.28 (P57(x128561,x128561,f268(x128561,x128562))), % 166.52/166.28 inference(rename_variables,[],[3384])). % 166.52/166.28 cnf(12871,plain, % 166.52/166.28 (E(f329(f287(x128711,x128711),f268(x128711,x128712)),x128712)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(12876,plain, % 166.52/166.28 (P44(x128761,x128762,x128763,x128764,f191(f913(x128761,a900)),x128764)), % 166.52/166.28 inference(rename_variables,[],[4349])). % 166.52/166.28 cnf(12895,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x128951),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12897,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),a85),f2(a1)))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3189,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,3345,12567,12571,12575,3351,3360,3873,4178,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,4647,11692,11723,11758,11765,11798,3853,3618,3999,3442,3443,3417,4631,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,4233,4637,3906,3942,4622,4625,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,4656,11815,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,3839,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,68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% 166.52/166.28 cnf(12904,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x129041)),f329(f81(a1),f329(f105(a1),x129042))))), % 166.52/166.28 inference(rename_variables,[],[4652])). % 166.52/166.28 cnf(12914,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x129141),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12917,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x129171),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12920,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129201,x129202)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12923,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129231,x129232)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12926,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129261,x129262)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12929,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129291,x129292)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12936,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x129361))),f329(f105(a1),x129362)))), % 166.52/166.28 inference(rename_variables,[],[3895])). % 166.52/166.28 cnf(12938,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f2(a1))))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3188,3189,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,3345,12567,12571,12575,3351,3360,3873,4178,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,4647,11692,11723,11758,11765,11798,3853,3618,3619,12920,12923,12926,3999,3442,3443,3417,4631,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,11941,4233,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,3839,3840,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,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% 166.52/166.28 cnf(12941,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x129411),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(12942,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x129421),x129421))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12949,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x129491),f329(a117,x129491)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12951,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),f2(a1)),a85))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3188,3189,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,3345,12567,12571,12575,3351,3360,3873,4178,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,4647,11692,11723,11758,11765,11798,3853,3618,3619,12920,12923,12926,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,11941,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,3839,3840,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225])). % 166.52/166.28 cnf(12953,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f2(a1))))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3080,3089,3095,3096,3097,3106,3107,3111,3113,3164,3165,3167,3180,3188,3189,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,3345,12567,12571,12575,3351,3360,3873,4178,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3976,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,4647,11692,11723,11758,11765,11798,3853,3618,3619,12920,12923,12926,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,3490,12293,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,3475,10820,10850,10859,10862,11441,12636,3514,3507,3934,3871,10483,11821,11849,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,3895,11941,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,3839,3840,4654,10456,10459,10814,10817,11689,11878,4655,11795,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372])). % 166.52/166.28 cnf(12956,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x129561),x129561))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(12959,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129591,x129592)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12962,plain, % 166.52/166.28 (P1(f329(f63(a905),f307(a905,x129621,x129622)))), % 166.52/166.28 inference(rename_variables,[],[3619])). % 166.52/166.28 cnf(12965,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x129651),x129651))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(12966,plain, % 166.52/166.28 (~E(f329(a117,x129661),f2(a905))), % 166.52/166.28 inference(rename_variables,[],[4581])). % 166.52/166.28 cnf(12983,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f47(a905,x129831,x129832)),x129831))), % 166.52/166.28 inference(rename_variables,[],[3871])). % 166.52/166.28 cnf(12988,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x129881),f329(a117,x129881)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12991,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x129911),f329(a117,x129911)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(12992,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x129921),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(13001,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x130011)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(13002,plain, % 166.52/166.28 (P1(f329(f247(f913(x130021,a900)),x130022))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(13005,plain, % 166.52/166.28 (~P1(f329(f329(f240(a1),f329(f105(a1),x130051)),f2(a1)))), % 166.52/166.28 inference(rename_variables,[],[4647])). % 166.52/166.28 cnf(13006,plain, % 166.52/166.28 (P1(f329(f247(f913(x130061,a900)),x130062))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(13009,plain, % 166.52/166.28 (P1(f329(f247(f913(x130091,a900)),x130092))), % 166.52/166.28 inference(rename_variables,[],[3475])). % 166.52/166.28 cnf(13020,plain, % 166.52/166.28 (~P1(f329(f329(f331(x130201),x130202),f191(f913(x130201,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(13021,plain, % 166.52/166.28 (P1(f329(f63(x130211),f191(f913(x130211,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13030,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),f2(a905)),x130301))), % 166.52/166.28 inference(rename_variables,[],[3435])). % 166.52/166.28 cnf(13033,plain, % 166.52/166.28 (~P1(f329(f329(f331(x130331),x130332),f191(f913(x130331,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(13036,plain, % 166.52/166.28 (~P1(f329(f329(f331(x130361),x130362),f191(f913(x130361,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(13039,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130391),x130391))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13047,plain, % 166.52/166.28 (P1(f329(f329(f240(a905),x130471),f329(a117,x130471)))), % 166.52/166.28 inference(rename_variables,[],[3482])). % 166.52/166.28 cnf(13050,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130501),x130501))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13055,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130551),x130551))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13058,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130581),x130581))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13061,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130611),x130611))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13064,plain, % 166.52/166.28 (E(f329(f329(f23(f913(x130641,a900)),f191(f913(x130641,a900))),x130642),f191(f913(x130641,a900)))), % 166.52/166.28 inference(rename_variables,[],[3680])). % 166.52/166.28 cnf(13065,plain, % 166.52/166.28 (P1(f329(f63(x130651),f191(f913(x130651,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13068,plain, % 166.52/166.28 (E(f329(f329(f23(f913(x130681,a900)),f191(f913(x130681,a900))),x130682),f191(f913(x130681,a900)))), % 166.52/166.28 inference(rename_variables,[],[3680])). % 166.52/166.28 cnf(13069,plain, % 166.52/166.28 (P1(f329(f63(x130691),f191(f913(x130691,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13072,plain, % 166.52/166.28 (E(f329(f329(f23(f913(x130721,a900)),f191(f913(x130721,a900))),x130722),f191(f913(x130721,a900)))), % 166.52/166.28 inference(rename_variables,[],[3680])). % 166.52/166.28 cnf(13073,plain, % 166.52/166.28 (P1(f329(f63(x130731),f191(f913(x130731,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13076,plain, % 166.52/166.28 (E(f329(f329(f23(f913(x130761,a900)),f191(f913(x130761,a900))),x130762),f191(f913(x130761,a900)))), % 166.52/166.28 inference(rename_variables,[],[3680])). % 166.52/166.28 cnf(13077,plain, % 166.52/166.28 (P1(f329(f63(x130771),f191(f913(x130771,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13081,plain, % 166.52/166.28 (E(f329(f287(x130811,x130811),f268(x130811,x130812)),x130812)), % 166.52/166.28 inference(rename_variables,[],[3374])). % 166.52/166.28 cnf(13086,plain, % 166.52/166.28 (E(f329(f329(f23(f913(x130861,a900)),f191(f913(x130861,a900))),x130862),f191(f913(x130861,a900)))), % 166.52/166.28 inference(rename_variables,[],[3680])). % 166.52/166.28 cnf(13087,plain, % 166.52/166.28 (P1(f329(f63(x130871),f191(f913(x130871,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13091,plain, % 166.52/166.28 (P1(f329(f63(x130911),f191(f913(x130911,a900))))), % 166.52/166.28 inference(rename_variables,[],[3490])). % 166.52/166.28 cnf(13094,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x130941),x130941))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13098,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x130981),x130981))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13111,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x131111),x131111))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13118,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x131181),x131181))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13121,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x131211),x131211))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13128,plain, % 166.52/166.28 (~P1(f329(f329(f331(x131281),x131282),f191(f913(x131281,a900))))), % 166.52/166.28 inference(rename_variables,[],[4643])). % 166.52/166.28 cnf(13139,plain, % 166.52/166.28 (P1(f329(f329(f331(x131391),x131392),f247(f913(x131391,a900))))), % 166.52/166.28 inference(rename_variables,[],[3567])). % 166.52/166.28 cnf(13140,plain, % 166.52/166.28 (E(f329(f195(x131401,x131402),x131403),f125(x131401,x131402))), % 166.52/166.28 inference(rename_variables,[],[3328])). % 166.52/166.28 cnf(13146,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x131461,a900)),x131462),f247(f913(x131461,a900))))), % 166.52/166.28 inference(rename_variables,[],[3796])). % 166.52/166.28 cnf(13149,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x131491,a900)),x131492),x131492))), % 166.52/166.28 inference(rename_variables,[],[3709])). % 166.52/166.28 cnf(13155,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x131551),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(13156,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x131561),x131561))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13160,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x131601),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(13161,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x131611),x131611))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13166,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x131661),x131661))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13173,plain, % 166.52/166.28 (E(f329(f329(f16(x131731,x131732),x131733),x131734),x131733)), % 166.52/166.28 inference(rename_variables,[],[3404])). % 166.52/166.28 cnf(13176,plain, % 166.52/166.28 (P1(f329(f329(f239(f913(x131761,a900)),f329(f175(x131761),f179(x131761,x131762,x131763))),f329(f175(x131761),x131762)))), % 166.52/166.28 inference(rename_variables,[],[4108])). % 166.52/166.28 cnf(13180,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x131801),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(13181,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x131811),x131811))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13185,plain, % 166.52/166.28 (~P1(f329(f329(f240(a905),x131851),f2(a905)))), % 166.52/166.28 inference(rename_variables,[],[4634])). % 166.52/166.28 cnf(13186,plain, % 166.52/166.28 (P1(f329(f329(f239(a1),x131861),x131861))), % 166.52/166.28 inference(rename_variables,[],[3414])). % 166.52/166.28 cnf(13190,plain, % 166.52/166.28 (~P1(f329(f329(f239(f913(a905,a900)),f305(a905,f329(a117,x131901),f329(a117,x131901))),f305(a905,x131902,x131901)))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3077,3080,3089,3095,3096,3097,3106,3107,3111,3113,3116,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,12424,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5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,8618,8640])). % 166.52/166.28 cnf(13191,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x131911),x131911))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13193,plain, % 166.52/166.28 (~P1(f329(f329(f240(f913(a905,a900)),f305(a905,f329(a117,x131931),f329(a117,x131931))),f305(a905,x131932,x131931)))), % 166.52/166.28 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3077,3080,3089,3095,3096,3097,3106,3107,3111,3113,3116,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,3435,10853,11007,11080,11850,11992,12190,12399,12424,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641])). % 166.52/166.28 cnf(13194,plain, % 166.52/166.28 (P1(f329(f329(f239(a905),x131941),x131941))), % 166.52/166.28 inference(rename_variables,[],[3413])). % 166.52/166.28 cnf(13197,plain, % 166.52/166.28 (~P1(f329(f329(f239(a905),f329(a117,x131971)),x131971))), % 166.52/166.28 inference(rename_variables,[],[4640])). % 166.52/166.28 cnf(13202,plain, % 166.52/166.28 (E(x132021,f421(f329(f5(x132022),f329(f5(x132022),x132021)),f5(x132022),x132022,x132022))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3077,3080,3089,3095,3096,3097,3106,3107,3111,3113,3116,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,4007,4641,11175,11266,11499,11502,3813,12761,3518,3736,4619,3485,12830,3308,10504,10823,3309,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,4651,10951,11344,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,3861,11120,11126,11142,12114,12240,12330,12610,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,4190,3863,10856,11217,11383,11417,11428,12549,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787])). % 166.52/166.29 cnf(13203,plain, % 166.52/166.29 (P1(f329(f329(f331(x132031),f329(x132032,x132033)),f329(f312(x132034,x132031,x132032),f247(f913(x132034,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(13204,plain, % 166.52/166.29 (P24(x132041,x132041,f5(x132041),x132042)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13209,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x132091,a900)),x132092),f247(f913(x132091,a900))))), % 166.52/166.29 inference(rename_variables,[],[3796])). % 166.52/166.29 cnf(13210,plain, % 166.52/166.29 (P24(x132101,x132101,f5(x132101),x132102)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13214,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x132141,a900)),x132142),f247(f913(x132141,a900))))), % 166.52/166.29 inference(rename_variables,[],[3796])). % 166.52/166.29 cnf(13215,plain, % 166.52/166.29 (P24(x132151,x132151,f5(x132151),x132152)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13219,plain, % 166.52/166.29 (P24(x132191,x132191,f5(x132191),x132192)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13222,plain, % 166.52/166.29 (~P1(f329(f329(f240(f913(x132221,a900)),x132222),f191(f913(x132221,a900))))), % 166.52/166.29 inference(rename_variables,[],[4651])). % 166.52/166.29 cnf(13225,plain, % 166.52/166.29 (P24(x132251,x132251,f5(x132251),x132252)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13228,plain, % 166.52/166.29 (P24(x132281,x132281,f5(x132281),x132282)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13239,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x132391,a900)),f191(f913(x132391,a900))),x132392))), % 166.52/166.29 inference(rename_variables,[],[3863])). % 166.52/166.29 cnf(13243,plain, % 166.52/166.29 (E(f329(f287(x132431,x132431),f268(x132431,x132432)),x132432)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(13247,plain, % 166.52/166.29 (~P1(f329(f329(f331(x132471),x132472),f191(f913(x132471,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13256,plain, % 166.52/166.29 (P24(x132561,x132561,f5(x132561),x132562)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13266,plain, % 166.52/166.29 (~P1(f329(f329(f331(x132661),x132662),f191(f913(x132661,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13269,plain, % 166.52/166.29 (~P1(f329(f329(f331(x132691),x132692),f191(f913(x132691,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13272,plain, % 166.52/166.29 (P1(f329(f329(f240(a905),x132721),f329(a117,x132721)))), % 166.52/166.29 inference(rename_variables,[],[3482])). % 166.52/166.29 cnf(13273,plain, % 166.52/166.29 (~E(f329(a117,x132731),x132731)), % 166.52/166.29 inference(rename_variables,[],[4571])). % 166.52/166.29 cnf(13276,plain, % 166.52/166.29 (P1(f329(f329(f240(a905),x132761),f329(a117,f329(f329(f82(a905),x132762),x132761))))), % 166.52/166.29 inference(rename_variables,[],[3864])). % 166.52/166.29 cnf(13277,plain, % 166.52/166.29 (P1(f329(f329(f240(a905),x132771),f329(a117,x132771)))), % 166.52/166.29 inference(rename_variables,[],[3482])). % 166.52/166.29 cnf(13279,plain, % 166.52/166.29 (~E(f329(f329(f83(a905),f329(a117,f2(a905))),f124(x132791)),f329(f329(f83(a905),f329(a117,f2(a905))),f130(x132791,x132792,x132793)))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3077,3080,3089,3095,3096,3097,3106,3107,3111,3113,3116,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,3999,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,4108,11198,12306,12379,12439,12486,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,4623,4356,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,4190,3863,10856,11217,11383,11417,11428,12549,12599,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613])). % 166.52/166.29 cnf(13286,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x132861)))), % 166.52/166.29 inference(rename_variables,[],[3514])). % 166.52/166.29 cnf(13291,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f2(a905)),x132911))), % 166.52/166.29 inference(rename_variables,[],[3435])). % 166.52/166.29 cnf(13295,plain, % 166.52/166.29 (~E(f329(a117,x132951),f2(a905))), % 166.52/166.29 inference(rename_variables,[],[4581])). % 166.52/166.29 cnf(13298,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),x132981),x132981))), % 166.52/166.29 inference(rename_variables,[],[3414])). % 166.52/166.29 cnf(13304,plain, % 166.52/166.29 (~P1(f329(f329(f331(x133041),x133042),f191(f913(x133041,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13307,plain, % 166.52/166.29 (P1(f329(f63(a905),f307(a905,x133071,x133072)))), % 166.52/166.29 inference(rename_variables,[],[3619])). % 166.52/166.29 cnf(13308,plain, % 166.52/166.29 (E(f329(f329(f237(a905),f329(a117,x133081)),f329(a117,x133082)),f329(a117,f329(f329(f237(a905),x133081),x133082)))), % 166.52/166.29 inference(rename_variables,[],[3583])). % 166.52/166.29 cnf(13311,plain, % 166.52/166.29 (P1(f329(f63(a905),f307(a905,x133111,x133112)))), % 166.52/166.29 inference(rename_variables,[],[3619])). % 166.52/166.29 cnf(13312,plain, % 166.52/166.29 (E(f329(f329(f238(a905),f329(a117,x133121)),f329(a117,x133122)),f329(a117,f329(f329(f238(a905),x133121),x133122)))), % 166.52/166.29 inference(rename_variables,[],[3584])). % 166.52/166.29 cnf(13315,plain, % 166.52/166.29 (P1(f329(f63(a905),f307(a905,x133151,x133152)))), % 166.52/166.29 inference(rename_variables,[],[3619])). % 166.52/166.29 cnf(13319,plain, % 166.52/166.29 (P1(f329(f63(a905),f307(a905,x133191,x133192)))), % 166.52/166.29 inference(rename_variables,[],[3619])). % 166.52/166.29 cnf(13324,plain, % 166.52/166.29 (~P1(f329(f329(f331(x133241),x133242),f191(f913(x133241,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13325,plain, % 166.52/166.29 (E(f329(f329(f16(x133251,x133252),x133253),x133254),x133253)), % 166.52/166.29 inference(rename_variables,[],[3404])). % 166.52/166.29 cnf(13328,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x133281,a900)),f329(f175(x133281),f329(f139(x133281,x133282),x133283))),f329(f175(x133281),x133283)))), % 166.52/166.29 inference(rename_variables,[],[4059])). % 166.52/166.29 cnf(13329,plain, % 166.52/166.29 (E(f329(f329(f16(x133291,x133292),x133293),x133294),x133293)), % 166.52/166.29 inference(rename_variables,[],[3404])). % 166.52/166.29 cnf(13332,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x133321,a900)),f329(f175(x133321),f329(f329(f178(x133321),x133322),x133323))),f329(f175(x133321),x133323)))), % 166.52/166.29 inference(rename_variables,[],[4103])). % 166.52/166.29 cnf(13333,plain, % 166.52/166.29 (E(f329(f329(f16(x133331,x133332),x133333),x133334),x133333)), % 166.52/166.29 inference(rename_variables,[],[3404])). % 166.52/166.29 cnf(13337,plain, % 166.52/166.29 (E(f329(f329(f16(x133371,x133372),x133373),x133374),x133373)), % 166.52/166.29 inference(rename_variables,[],[3404])). % 166.52/166.29 cnf(13350,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x133501)))), % 166.52/166.29 inference(rename_variables,[],[3514])). % 166.52/166.29 cnf(13353,plain, % 166.52/166.29 (~P1(f329(f329(f331(x133531),x133532),f191(f913(x133531,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13354,plain, % 166.52/166.29 (E(f329(f287(x133541,x133541),f268(x133541,x133542)),x133542)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(13355,plain, % 166.52/166.29 (P24(x133551,x133551,f5(x133551),x133552)), % 166.52/166.29 inference(rename_variables,[],[3651])). % 166.52/166.29 cnf(13359,plain, % 166.52/166.29 (E(f329(f287(x133591,x133591),f268(x133591,x133592)),x133592)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(13364,plain, % 166.52/166.29 (P1(f329(f329(f240(f913(a1,a900)),f305(a1,f80(a1),f2(a1))),f305(a1,f2(a1),f80(a1))))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533])). % 166.52/166.29 cnf(13366,plain, % 166.52/166.29 (P1(f329(f329(f240(f913(a1,a900)),f305(a1,f2(a1),f2(a1))),f305(a1,f329(f81(a1),f329(f105(a1),f329(a117,x133661))),f2(a1))))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,3866,11818,3397,3494,11649,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534])). % 166.52/166.29 cnf(13373,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f2(a905)),x133731))), % 166.52/166.29 inference(rename_variables,[],[3435])). % 166.52/166.29 cnf(13374,plain, % 166.52/166.29 (P1(f329(f329(f240(a905),f2(a905)),f329(a117,x133741)))), % 166.52/166.29 inference(rename_variables,[],[3494])). % 166.52/166.29 cnf(13375,plain, % 166.52/166.29 (E(f329(f287(x133751,x133751),f268(x133751,x133752)),x133752)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(13378,plain, % 166.52/166.29 (P1(f329(f50(f329(f287(x133781,x133781),f268(x133781,f329(f329(f82(a905),f329(f329(f83(a905),f329(f256(a905,a905),f329(f329(f257(a905,a905),f2(a905)),x133782))),f329(a117,f329(f329(f82(a905),x133783),f329(f261(a905,a905),f329(f329(f257(a905,a905),f2(a905)),x133782)))))),f329(f261(a905,a905),f329(f329(f257(a905,a905),f2(a905)),x133782))))),f329(a117,f329(f329(f82(a905),x133783),f329(f261(a905,a905),f329(f329(f257(a905,a905),f2(a905)),x133782))))),f329(f329(f257(a905,a905),f2(a905)),x133782)))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3062,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016])). % 166.52/166.29 cnf(13454,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f2(a1)),f329(f77(a1),f80(a1))))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3060,3062,3064,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,13185,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,4109,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,13350,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016,9964,10328,4718,4749,4751,4752,4755,4801,4805,4810,4948,4995,4996,5027,5086,5089,5148,5285,5323,5324,5326,5333,5334,5358,5402,5433,5455,5585,5657,5658,5659,5719,5777,5778])). % 166.52/166.29 cnf(13468,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),f329(a117,f329(f329(f82(a905),x134681),x134682))),f329(a117,x134681)))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3060,3062,3064,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,13185,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,4109,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,13350,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016,9964,10328,4718,4749,4751,4752,4755,4801,4805,4810,4948,4995,4996,5027,5086,5089,5148,5285,5323,5324,5326,5333,5334,5358,5402,5433,5455,5585,5657,5658,5659,5719,5777,5778,5804,5808,5866,5868,5877,5883,5963])). % 166.52/166.29 cnf(13484,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),f2(a905)),f191(a905)))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3060,3062,3064,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,13185,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,4109,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,13350,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016,9964,10328,4718,4749,4751,4752,4755,4801,4805,4810,4948,4995,4996,5027,5086,5089,5148,5285,5323,5324,5326,5333,5334,5358,5402,5433,5455,5585,5657,5658,5659,5719,5777,5778,5804,5808,5866,5868,5877,5883,5963,6042,6195,6359,6481,6643,6847,7061,7101])). % 166.52/166.29 cnf(13496,plain, % 166.52/166.29 (P31(x134961,f329(f239(f913(x134962,a900)),f329(f288(x134963,x134962,x134964),f191(f913(x134963,a900)))),x134965)), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3060,3062,3064,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,13185,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,4109,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,13350,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016,9964,10328,4718,4749,4751,4752,4755,4801,4805,4810,4948,4995,4996,5027,5086,5089,5148,5285,5323,5324,5326,5333,5334,5358,5402,5433,5455,5585,5657,5658,5659,5719,5777,5778,5804,5808,5866,5868,5877,5883,5963,6042,6195,6359,6481,6643,6847,7061,7101,7267,7503,7573,7907,7909,8009])). % 166.52/166.29 cnf(13522,plain, % 166.52/166.29 (~P1(f329(f329(f239(a905),f329(a117,f329(f145(a905,a905,f82(a905),f2(a905)),f172(a905,f329(a117,f2(a905)),f329(a117,f2(a905)))))),f329(a117,f2(a905))))), % 166.52/166.29 inference(scs_inference,[],[4074,12632,12810,12812,12814,12816,3627,12275,12297,12792,12794,3651,11261,12312,12409,12412,12507,12542,12546,12554,12626,12756,12758,13204,13210,13215,13219,13225,13228,13256,13355,3659,12376,12773,12775,3668,3383,12750,12752,12754,3384,12856,3350,12707,4604,4605,11895,4349,12876,3387,12848,3224,3281,12802,3282,12852,3283,3284,3285,12582,12843,4603,3711,4571,10371,10381,10394,10405,10408,10512,10515,10518,10613,10744,11052,11239,11242,11458,11541,11548,11562,11608,11611,11633,11650,11665,11728,11785,11801,12093,12118,12130,12159,12165,12257,12372,12535,12596,12739,13273,4584,10597,10696,11149,3470,3433,12818,3617,3334,4581,11073,12966,13295,3021,3022,3025,3026,3028,3029,3031,3032,3033,3035,3036,3040,3041,3042,3052,3053,3054,3058,3059,3060,3062,3064,3067,3068,3074,3075,3077,3080,3089,3095,3096,3097,3106,3107,3108,3111,3113,3116,3119,3139,3140,3141,3151,3164,3165,3167,3168,3180,3188,3189,3190,3305,4566,3206,3280,4567,3750,3980,11832,3258,11538,3395,3374,10443,10446,10539,10542,10847,11553,11556,11676,11715,11720,11827,11867,12278,12483,12685,12741,12743,12765,12779,12784,12786,12788,12806,12822,12871,13081,13243,13354,13359,13375,3345,12567,12571,12575,3351,3360,3873,4178,3328,13140,3481,12629,12710,3247,3248,3611,3966,11584,3469,3313,3781,3244,3272,3789,12837,3268,4083,3974,3292,3794,4552,3255,3230,3234,3885,3291,3471,11004,11129,12373,12586,3344,4048,4594,10434,10594,11455,11636,12531,12568,12572,4601,12539,3404,11914,11917,13173,13325,13329,13333,13337,4007,4641,11175,11266,11499,11502,3813,12761,3399,3518,3736,3510,4619,3485,12830,3308,10504,10823,3309,4628,3571,3300,3225,3330,11574,4192,12557,12697,4050,11195,11320,11386,12515,12521,12646,12649,12675,4659,11107,11333,11449,11472,11507,11513,12462,4660,11228,11336,11452,11510,4661,11339,11397,4662,11404,4663,3329,3609,12415,12459,12538,3777,3560,4463,4464,3593,3632,3703,4592,11567,3754,3713,3756,3930,3680,13064,13068,13072,13076,13086,3976,12406,3595,3856,3482,10523,10636,10713,10783,10786,10826,10927,11165,11762,12003,12089,12152,12228,12266,12350,12353,12679,12949,12988,12991,13047,13272,13277,3866,11818,3397,3494,11649,11929,13374,3674,4634,10411,10414,10440,10935,10948,11062,11491,11577,11761,11978,11983,12002,12204,12207,12290,12465,12561,12895,12914,12917,12941,12992,13155,13160,13180,13185,4647,11692,11723,11758,11765,11798,13001,13005,3853,3618,3619,12920,12923,12926,12929,12959,12962,13307,13311,13315,13319,3621,3999,3583,13308,3584,13312,3442,3443,3417,4631,3307,4589,3804,4114,3602,4648,4185,11469,3735,3454,11935,11938,12380,12487,12656,4639,10399,10402,10565,10657,10676,10683,10708,10716,10719,10733,10918,11152,11366,11643,11737,11886,11996,11999,4154,4113,12082,12430,4059,11001,12260,12440,12585,13328,4103,13332,4108,11198,12306,12379,12439,12486,13176,4109,3778,11769,12092,12235,12317,12363,4142,3796,11201,11271,11358,11423,12256,12331,12591,12672,12682,13146,13209,13214,4651,10951,11344,12443,13222,3413,10532,10623,10769,10833,10907,10954,10957,10988,11010,11046,11087,11123,11889,11932,12062,12117,12133,12136,12139,12142,12309,12324,12338,12341,12344,12347,12423,12446,12490,12602,12652,12942,12965,13039,13050,13055,13058,13061,13094,13111,13118,13166,13191,13194,3414,10608,10838,10930,11049,11668,11963,11966,11975,12068,12079,12098,12103,12145,12168,12185,12956,13098,13121,13156,13161,13181,13186,13298,3490,12293,13021,13065,13069,13073,13077,13087,13091,4630,10451,10480,10972,11013,11022,11846,11870,12036,12039,12042,12045,12129,12148,12151,12164,12216,12219,12222,12225,12391,12394,12493,12496,12595,12635,12719,3567,10701,10789,11057,11104,11323,11326,11412,11488,11653,12534,12722,13139,4643,10981,10991,11096,11114,11117,11178,11181,11192,11285,11293,11307,11347,11371,11380,11420,11461,11466,11482,11485,11516,11521,11524,11768,11911,11944,12210,12213,12247,12294,12327,12471,12512,12518,12614,12617,12639,12696,12702,12713,12733,13020,13033,13036,13128,13247,13266,13269,13304,13324,13353,3475,10820,10850,10859,10862,11441,12636,12653,13002,13006,13009,3514,13286,13350,3507,3934,3871,10483,11821,11849,12983,4640,10431,10808,10811,11288,11304,11784,11837,11874,11993,12024,12027,12030,12033,12289,13197,3435,10853,11007,11080,11850,11992,12190,12399,12424,13030,13291,13373,3895,11941,12936,4233,3624,4637,3906,3942,4622,4625,4626,3390,3394,4624,3392,4623,4356,4400,4550,3725,11814,11898,4327,11675,4653,10722,10725,4658,11184,11187,11374,11496,11530,4017,11527,11873,11877,12545,12553,12645,13203,3861,11120,11126,11142,12114,12240,12330,12610,12642,3709,11254,11377,12356,12468,12478,12550,12605,12613,12730,13149,4190,3863,10856,11217,11383,11417,11428,12549,12599,13239,3677,10772,10775,10865,11033,3676,4656,11815,4652,12904,4657,10616,10728,11361,12418,12427,12474,12666,12669,12726,4288,10994,12436,12454,12477,4196,3894,12736,3839,3840,4654,10456,10459,10814,10817,11689,11878,12678,4655,11795,11883,3864,10778,11039,13276,4128,4671,4697,4753,4757,4785,4800,4807,4809,4845,4850,4879,4885,4971,4997,4998,5013,5035,5064,5065,5087,5088,5102,5105,5130,5136,5152,5155,5156,5157,5162,5163,5188,5214,5216,5217,5227,5232,5240,5277,5278,5286,5294,5298,5300,5314,5316,5322,5327,5328,5341,5347,5350,5351,5355,5389,5403,5412,5414,5415,5418,5419,5420,5430,5432,5438,5439,5440,5446,5450,5451,5452,5460,5464,5465,5470,5483,5491,5503,5505,5513,5517,5521,5547,5561,5562,5577,5589,5611,5617,5639,5640,5643,5662,5670,5671,5676,5677,5687,5689,5701,5705,5714,5715,5717,5718,5734,5739,5749,5750,5761,5768,5782,5786,5789,5795,5796,5797,5800,5805,5841,5842,5845,5847,5850,5851,5852,5854,5856,5858,5863,5870,5885,5899,5904,5905,5908,5919,5920,5927,5929,5933,5935,5941,5949,5984,5997,6006,6009,6018,6022,6023,6024,6025,6026,6034,6045,6051,6069,6072,6083,6114,6128,6155,6172,6173,6176,6190,6192,6194,6196,6211,6212,6215,6217,6220,6221,6236,6244,6245,6246,6248,6250,6284,6285,6290,6293,6300,6304,6338,6340,6342,6344,6353,6355,6357,6363,6365,6370,6373,6381,6389,6391,6392,6398,6419,6420,6421,6422,6424,6430,6435,6469,6470,6473,6474,6475,6477,6478,6479,6480,6490,6524,6525,6526,6535,6557,6558,6578,6580,6591,6592,6600,6630,6632,6646,6650,6687,6689,6690,6743,6766,6810,6829,6838,6839,6840,6841,6859,6860,6867,6879,6882,6884,6886,6887,6888,6890,6904,6915,6916,6917,6930,6982,6993,6995,6999,7017,7018,7053,7066,7096,7180,7208,7263,7284,7292,7295,7358,7368,7432,7434,7448,7459,7460,7461,7477,7481,7483,7532,7542,7548,7563,7612,7614,7617,7658,7659,7677,7739,7746,7764,7788,7811,7823,7838,7849,7860,7861,7889,7891,7893,7902,7944,7956,7981,8041,8073,8108,8155,8171,8173,8188,8189,8264,8332,8356,8375,8402,8403,8500,8502,8504,8510,8526,8530,8545,8569,8580,8582,8595,8600,8604,8605,8606,8607,8608,8609,8633,8647,8648,8665,8666,8671,8672,8673,8674,8675,8693,8694,8695,8704,8717,8720,8731,8735,8737,8738,8739,8740,8747,8752,8760,8763,8780,8781,8812,8825,8829,8847,8868,8869,8870,8871,8886,8887,8910,8919,8929,8930,8931,8934,8955,8956,8967,9018,9024,9030,9032,9049,9052,9063,9064,9065,9076,9143,9174,9175,9176,9191,9208,9216,9217,9245,9246,9247,9249,9297,9323,9358,9368,9369,9370,9380,9407,9423,9427,9431,9454,9455,9482,9544,9549,9552,9585,9586,9587,9611,9612,9629,9649,9655,9667,9692,9713,9722,9723,9724,9725,9742,9744,9749,9779,9780,9786,9787,9832,9833,9843,9868,9887,9889,9890,9899,9911,9936,9969,9971,9975,10023,10063,10064,10066,10075,10076,10096,10101,10193,10279,10280,10343,10359,2,8,9,4684,4685,4703,4745,4747,4748,4772,4778,4779,4789,4834,4836,4884,5014,5015,5029,5053,5108,5109,5115,5116,5118,5120,5129,5132,5133,5141,5153,5154,5160,5181,5182,5203,5208,5209,5210,5211,5215,5223,5226,5233,5234,5235,5291,5296,5297,5302,5308,5338,5348,5353,5369,5387,5388,5395,5396,5397,5408,5426,5428,5429,5436,5443,5444,5456,5457,5458,5459,5461,5462,5466,5467,5468,5469,5499,5500,5501,5509,5510,5511,5512,5553,5558,5560,5596,5598,5599,5601,5602,5604,5605,5607,5616,5621,5622,5623,5625,5627,5628,5629,5630,5631,5632,5641,5651,5654,5665,5681,5682,5685,5695,5697,5698,5699,5726,5736,5752,5753,5762,5763,5765,5767,5772,5807,5812,5814,5872,5906,5907,5912,5918,5921,5922,5923,5924,5936,5946,5950,5951,5960,5981,6010,6029,6032,6033,6035,6059,6063,6066,6067,6068,6085,6098,6099,6130,6131,6135,6157,6160,6163,6184,6185,6213,6216,6224,6235,6243,6247,6254,6255,6256,6257,6287,6305,6356,6393,6395,6416,6417,6423,6427,6428,6431,6446,6461,6482,6483,6488,6491,6500,6502,6517,6538,6545,6547,6562,6563,6566,6567,6569,6571,6572,6573,6575,6577,6579,6584,6585,6587,6588,6594,6596,6640,6645,6661,6663,6664,6665,6701,6706,6708,6713,6714,6722,6726,6738,6761,6762,6764,6765,6777,6782,6802,6805,6823,6853,6854,6855,6861,6875,6894,6896,6898,6900,6905,6911,6913,6927,6932,6933,6968,6969,6970,6984,6985,6987,6988,7007,7009,7026,7051,7074,7085,7087,7089,7091,7092,7123,7124,7127,7128,7135,7136,7138,7140,7162,7171,7172,7183,7193,7232,7242,7246,7253,7264,7269,7271,7278,7286,7299,7316,7337,7339,7356,7361,7414,7415,7416,7418,7421,7425,7431,7433,7496,7515,7528,7545,7546,7562,7594,7597,7620,7642,7660,7663,7664,7674,7694,7696,7698,7700,7701,7702,7727,7754,7755,7787,7789,7790,7791,7796,7817,7835,7840,7846,7848,7856,7868,7869,7871,7894,7900,7927,7994,7995,7996,8044,8051,8052,8075,8076,8095,8096,8097,8162,8163,8191,8192,8224,8234,8245,8256,8287,8291,8297,8309,8327,8333,8355,8400,8432,8444,8463,8466,8493,8518,8583,8584,8587,8588,8697,8698,8699,8700,8726,8755,8784,8828,8846,8888,8904,8948,8951,8964,8971,9015,9059,9060,9078,9079,9092,9213,9219,9223,9243,9259,9284,9286,9289,9295,9298,9299,9309,9310,9330,9336,9345,9352,9393,9411,9432,9467,9468,9474,9535,9541,9581,9591,9594,9595,9597,9598,9610,9634,9648,9657,9658,9660,9662,9691,9813,9814,9863,9864,9904,9942,10049,10105,10168,10255,10271,10276,3,2741,2746,2747,2748,2749,2752,2760,2761,2762,2764,2765,2766,2767,2772,2773,2774,2775,2777,2779,2780,2788,2789,2790,2791,2792,2793,2794,2799,2800,2802,2803,2805,2806,2807,2808,2810,2811,2816,2817,2821,2822,2824,2825,2826,2827,2829,2847,2848,2850,2851,2856,2857,2858,2872,2873,2874,2875,2876,2877,2878,2879,2880,2886,2888,2889,2890,2905,2906,2907,2909,2910,2921,2940,2941,2947,2948,2957,2959,2962,2965,2966,2967,3008,3009,3010,5386,5425,5569,5570,5571,5652,5751,5781,5815,5831,5833,5839,5900,5901,5902,5903,5910,5948,6080,6119,6129,6154,6188,6225,6372,6377,6414,6415,6436,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6540,6610,6611,6700,6733,6734,6774,6775,6912,6926,6996,6997,7004,7027,7058,7060,7106,7125,7126,7143,7144,7182,7226,7227,7323,7394,7395,7396,7397,7412,7449,7501,7502,7511,7519,7520,7531,7565,7566,7567,7568,7708,7709,7711,7713,7719,7720,7935,7941,7942,7953,7991,7992,8071,8116,8175,8197,8198,8272,8368,8442,8443,8445,8478,8541,8542,8618,8640,8641,8642,8643,8787,9034,9035,9107,9122,9177,9178,9306,9339,9363,9394,9437,9623,9632,9900,10074,10131,10133,6522,6523,6613,6633,6634,6691,7048,7262,8427,8712,8942,9133,9134,9204,9205,9390,9484,9485,9486,9487,9694,9963,10329,10330,6593,8533,8534,8997,9016,9964,10328,4718,4749,4751,4752,4755,4801,4805,4810,4948,4995,4996,5027,5086,5089,5148,5285,5323,5324,5326,5333,5334,5358,5402,5433,5455,5585,5657,5658,5659,5719,5777,5778,5804,5808,5866,5868,5877,5883,5963,6042,6195,6359,6481,6643,6847,7061,7101,7267,7503,7573,7907,7909,8009,8172,9104,9207,9449,9728,5028,5170,5174,5375,5770,6013])). % 166.52/166.29 cnf(13612,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f2(a905)),x136121))), % 166.52/166.29 inference(rename_variables,[],[3435])). % 166.52/166.29 cnf(13615,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x136151),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(13622,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x136221),f329(f329(f83(a905),x136221),x136221)))), % 166.52/166.29 inference(rename_variables,[],[3677])). % 166.52/166.29 cnf(13625,plain, % 166.52/166.29 (~P1(f329(f64(x136251,x136252,f191(f913(x136251,a900))),x136253))), % 166.52/166.29 inference(rename_variables,[],[4653])). % 166.52/166.29 cnf(13628,plain, % 166.52/166.29 (E(f329(f329(f137(x136281),f118(x136281)),x136282),x136282)), % 166.52/166.29 inference(rename_variables,[],[3369])). % 166.52/166.29 cnf(13633,plain, % 166.52/166.29 (~P1(f329(f329(f331(x136331),x136332),f191(f913(x136331,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13638,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f2(a905)),x136381))), % 166.52/166.29 inference(rename_variables,[],[3435])). % 166.52/166.29 cnf(13643,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x136431,x136431)),x136432),f268(x136431,f191(f913(x136431,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(13646,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x136461,a900)),x136462),x136462))), % 166.52/166.29 inference(rename_variables,[],[3709])). % 166.52/166.29 cnf(13657,plain, % 166.52/166.29 (~P34(x136571,x136572,x136573,f329(f329(f157(x136574,x136571),x136575),f329(a117,f118(x136574))),f118(x136572))), % 166.52/166.29 inference(rename_variables,[],[11388])). % 166.52/166.29 cnf(13662,plain, % 166.52/166.29 (~P1(f329(f64(x136621,x136622,f191(f913(x136621,a900))),x136623))), % 166.52/166.29 inference(rename_variables,[],[4653])). % 166.52/166.29 cnf(13665,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x136651,a900)),f191(f913(x136651,a900))),x136652))), % 166.52/166.29 inference(rename_variables,[],[3863])). % 166.52/166.29 cnf(13681,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x136811),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(13684,plain, % 166.52/166.29 (~P1(f329(f329(f331(x136841),x136842),f329(f313(x136841,x136843,x136844),f191(f913(x136843,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11116])). % 166.52/166.29 cnf(13687,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),x136871),x136871))), % 166.52/166.29 inference(rename_variables,[],[4630])). % 166.52/166.29 cnf(13690,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x136901),f80(a1))),x136901))), % 166.52/166.29 inference(rename_variables,[],[10929])). % 166.52/166.29 cnf(13693,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x136931),x136932)),x136931))), % 166.52/166.29 inference(rename_variables,[],[4655])). % 166.52/166.29 cnf(13696,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x136961,a900)),x136962),f329(f329(f311(x136961),x136963),x136962)))), % 166.52/166.29 inference(rename_variables,[],[3861])). % 166.52/166.29 cnf(13701,plain, % 166.52/166.29 (~E(f329(f329(f154(x137011),x137012),x137013),x137013)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(13704,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x137041,a900)),f329(f175(x137041),f179(x137041,x137042,x137043))),f329(f175(x137041),x137042)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(13711,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x137111,x137111)),x137112),f268(x137111,f191(f913(x137111,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(13714,plain, % 166.52/166.29 (~P1(f329(f329(f331(x137141),x137142),f191(f913(x137141,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13717,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x137171),f80(a1))),x137171))), % 166.52/166.29 inference(rename_variables,[],[10929])). % 166.52/166.29 cnf(13722,plain, % 166.52/166.29 (P34(x137221,x137222,x137223,f329(f329(f157(x137224,x137221),x137225),f119(x137224,f118(x137224))),f118(x137222))), % 166.52/166.29 inference(rename_variables,[],[11392])). % 166.52/166.29 cnf(13725,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),f329(f329(f82(a905),x137251),x137252)),x137251))), % 166.52/166.29 inference(rename_variables,[],[4655])). % 166.52/166.29 cnf(13746,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x137461),f329(f329(f82(a905),x137461),x137462)))), % 166.52/166.29 inference(rename_variables,[],[3676])). % 166.52/166.29 cnf(13755,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),x137551),x137551))), % 166.52/166.29 inference(rename_variables,[],[3414])). % 166.52/166.29 cnf(13758,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x137581,x137581)),x137582),f268(x137581,f191(f913(x137581,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(13765,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x137651),f329(f329(f83(a905),x137651),x137651)))), % 166.52/166.29 inference(rename_variables,[],[3677])). % 166.52/166.29 cnf(13785,plain, % 166.52/166.29 (~P1(f329(f64(x137851,x137852,f191(f913(x137851,a900))),x137853))), % 166.52/166.29 inference(rename_variables,[],[4653])). % 166.52/166.29 cnf(13799,plain, % 166.52/166.29 (~P1(f329(f329(f331(x137991),x137992),f191(f913(x137991,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13813,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),x138131),x138131))), % 166.52/166.29 inference(rename_variables,[],[3414])). % 166.52/166.29 cnf(13823,plain, % 166.52/166.29 (E(f329(f287(x138231,x138231),f268(x138231,x138232)),x138232)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(13830,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x138301,a900)),f329(f175(x138301),f179(x138301,x138302,x138303))),f329(f175(x138301),x138302)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(13837,plain, % 166.52/166.29 (~P1(f329(f329(f331(x138371),x138372),f191(f913(x138371,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13846,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x138461,x138461)),x138462),f268(x138461,f191(f913(x138461,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(13850,plain, % 166.52/166.29 (~P1(f329(f329(f191(f913(x138501,f913(x138502,a900))),x138503),x138504))), % 166.52/166.29 inference(rename_variables,[],[4657])). % 166.52/166.29 cnf(13858,plain, % 166.52/166.29 (E(f329(f329(f137(x138581),x138582),f118(x138581)),x138582)), % 166.52/166.29 inference(rename_variables,[],[3345])). % 166.52/166.29 cnf(13861,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f47(a905,x138611,x138612)),x138611))), % 166.52/166.29 inference(rename_variables,[],[3871])). % 166.52/166.29 cnf(13868,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x138681,x138681)),x138682),f268(x138681,f191(f913(x138681,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(13879,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x138791),f80(a1))),x138791))), % 166.52/166.29 inference(rename_variables,[],[10929])). % 166.52/166.29 cnf(13888,plain, % 166.52/166.29 (~P1(f329(f329(f331(x138881),x138882),f191(f913(x138881,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13891,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x138911),f80(a1))),x138911))), % 166.52/166.29 inference(rename_variables,[],[10929])). % 166.52/166.29 cnf(13894,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x138941,a900)),f329(f175(x138941),f179(x138941,x138942,x138943))),f329(f175(x138941),x138942)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(13899,plain, % 166.52/166.29 (E(f329(x138991,f329(f94(x138992,x138993,f247(f913(x138992,a900)),x138991),f329(x138991,x138994))),f329(x138991,x138994))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(13908,plain, % 166.52/166.29 (~P1(f329(f329(f331(x139081),x139082),f329(f313(x139081,x139083,x139084),f191(f913(x139083,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11116])). % 166.52/166.29 cnf(13913,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x139131),f329(f329(f83(a905),x139131),x139131)))), % 166.52/166.29 inference(rename_variables,[],[3677])). % 166.52/166.29 cnf(13920,plain, % 166.52/166.29 (E(f329(x139201,f329(f94(x139202,x139203,f247(f913(x139202,a900)),x139201),f329(x139201,x139204))),f329(x139201,x139204))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(13933,plain, % 166.52/166.29 (~E(f329(a117,x139331),f2(a905))), % 166.52/166.29 inference(rename_variables,[],[4581])). % 166.52/166.29 cnf(13938,plain, % 166.52/166.29 (~E(f329(f329(f154(x139381),x139382),x139383),x139383)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(13941,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),x139411),x139411))), % 166.52/166.29 inference(rename_variables,[],[4630])). % 166.52/166.29 cnf(13944,plain, % 166.52/166.29 (~E(f329(a117,x139441),f2(a905))), % 166.52/166.29 inference(rename_variables,[],[4581])). % 166.52/166.29 cnf(13949,plain, % 166.52/166.29 (~P1(f329(f329(f331(x139491),x139492),f329(f312(x139493,x139491,x139494),f191(f913(x139493,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11346])). % 166.52/166.29 cnf(13954,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),x139541),x139541))), % 166.52/166.29 inference(rename_variables,[],[4630])). % 166.52/166.29 cnf(13961,plain, % 166.52/166.29 (~P1(f329(f329(f331(x139611),x139612),f191(f913(x139611,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13973,plain, % 166.52/166.29 (~E(f329(f329(f154(x139731),x139732),x139733),x139733)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(13980,plain, % 166.52/166.29 (E(f329(f312(x139801,x139801,f33(x139801)),x139802),x139802)), % 166.52/166.29 inference(rename_variables,[],[3472])). % 166.52/166.29 cnf(13988,plain, % 166.52/166.29 (~P1(f329(f329(f331(x139881),x139882),f191(f913(x139881,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(13991,plain, % 166.52/166.29 (E(f329(x139911,f329(f94(x139912,x139913,f247(f913(x139912,a900)),x139911),f329(x139911,x139914))),f329(x139911,x139914))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14003,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x140031,x140031)),x140032),f268(x140031,f191(f913(x140031,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(14006,plain, % 166.52/166.29 (~P1(f329(f64(x140061,x140062,f191(f913(x140061,a900))),x140063))), % 166.52/166.29 inference(rename_variables,[],[4653])). % 166.52/166.29 cnf(14019,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x140191,a900)),x140192),x140192))), % 166.52/166.29 inference(rename_variables,[],[3709])). % 166.52/166.29 cnf(14022,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x140221,a900)),f329(f175(x140221),f179(x140221,x140222,x140223))),f329(f175(x140221),x140222)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(14025,plain, % 166.52/166.29 (~E(x140251,f329(a117,x140251))), % 166.52/166.29 inference(rename_variables,[],[10466])). % 166.52/166.29 cnf(14028,plain, % 166.52/166.29 (P1(f329(f329(f239(a1),x140281),x140281))), % 166.52/166.29 inference(rename_variables,[],[3414])). % 166.52/166.29 cnf(14033,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x140331),f329(f329(f82(a905),x140331),x140332)))), % 166.52/166.29 inference(rename_variables,[],[3676])). % 166.52/166.29 cnf(14047,plain, % 166.52/166.29 (E(f329(f329(f106(f913(x140471,a900)),x140472),f329(f81(f913(x140471,a900)),x140472)),f191(f913(x140471,a900)))), % 166.52/166.29 inference(rename_variables,[],[3713])). % 166.52/166.29 cnf(14054,plain, % 166.52/166.29 (~P1(f329(f64(x140541,x140542,f191(f913(x140541,a900))),x140543))), % 166.52/166.29 inference(rename_variables,[],[4653])). % 166.52/166.29 cnf(14057,plain, % 166.52/166.29 (~P1(f329(f329(f240(a905),x140571),x140571))), % 166.52/166.29 inference(rename_variables,[],[4630])). % 166.52/166.29 cnf(14060,plain, % 166.52/166.29 (~E(f329(f329(f154(x140601),x140602),x140603),x140603)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14065,plain, % 166.52/166.29 (~P1(f329(f329(f260(x140651,x140652,a900,f329(f175(x140653),f118(x140653))),x140654),x140655))), % 166.52/166.29 inference(rename_variables,[],[11365])). % 166.52/166.29 cnf(14085,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x140851,a900)),f329(f312(x140852,x140851,x140853),f329(f313(x140852,x140851,x140853),x140854))),x140854))), % 166.52/166.29 inference(rename_variables,[],[4288])). % 166.52/166.29 cnf(14088,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x140881,a900)),f329(f175(x140881),f179(x140881,x140882,x140883))),f329(f175(x140881),x140882)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(14095,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x140951),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(14098,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(f906(x140981),f906(x140981))),f329(f329(f257(f906(x140981),f906(x140981)),f118(x140981)),x140982)),f160(x140981,x140983)))), % 166.52/166.29 inference(rename_variables,[],[4663])). % 166.52/166.29 cnf(14109,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x141091),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(14112,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x141121,a900)),f329(f175(x141121),f179(x141121,x141122,x141123))),f329(f175(x141121),x141122)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(14115,plain, % 166.52/166.29 (P1(f329(f329(f240(a905),x141151),f329(f329(f83(a905),f329(a117,x141151)),f329(a117,x141151))))), % 166.52/166.29 inference(rename_variables,[],[10774])). % 166.52/166.29 cnf(14123,plain, % 166.52/166.29 (~P1(f329(f329(f331(x141231),x141232),f191(f913(x141231,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(14131,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x141311),f329(f329(f82(a905),x141311),x141312)))), % 166.52/166.29 inference(rename_variables,[],[3676])). % 166.52/166.29 cnf(14144,plain, % 166.52/166.29 (P1(f329(f329(f331(x141441),f329(x141442,x141443)),f329(f312(x141444,x141441,x141442),f247(f913(x141444,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(14164,plain, % 166.52/166.29 (~E(f329(f329(f106(a905),f329(a117,x141641)),x141641),f329(a117,x141641))), % 166.52/166.29 inference(rename_variables,[],[11708])). % 166.52/166.29 cnf(14167,plain, % 166.52/166.29 (P1(f329(f329(f331(x141671),f329(x141672,x141673)),f329(f312(x141674,x141671,x141672),f247(f913(x141674,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(14173,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(f906(x141731),f906(x141731))),f329(f329(f257(f906(x141731),f906(x141731)),x141732),f118(x141731))),f150(x141731,x141733)))), % 166.52/166.29 inference(rename_variables,[],[4660])). % 166.52/166.29 cnf(14178,plain, % 166.52/166.29 (~P1(f329(f329(f239(a905),f329(f329(f83(a905),f329(a117,x141781)),f329(a117,x141781))),x141781))), % 166.52/166.29 inference(rename_variables,[],[10864])). % 166.52/166.29 cnf(14181,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x141811),f329(f329(f83(a905),x141811),x141811)))), % 166.52/166.29 inference(rename_variables,[],[3677])). % 166.52/166.29 cnf(14186,plain, % 166.52/166.29 (E(f329(x141861,f329(f94(x141862,x141863,f247(f913(x141862,a900)),x141861),f329(x141861,x141864))),f329(x141861,x141864))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14193,plain, % 166.52/166.29 (E(f329(f287(x141931,x141931),f268(x141931,x141932)),x141932)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(14235,plain, % 166.52/166.29 (~E(f329(f329(f106(a905),f329(a117,x142351)),x142351),f329(a117,x142351))), % 166.52/166.29 inference(rename_variables,[],[11708])). % 166.52/166.29 cnf(14238,plain, % 166.52/166.29 (~E(f329(f329(f154(x142381),x142382),x142383),x142383)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14249,plain, % 166.52/166.29 (~P1(f329(f329(f239(a905),f329(f329(f83(a905),f329(a117,x142491)),f329(a117,x142491))),x142491))), % 166.52/166.29 inference(rename_variables,[],[10864])). % 166.52/166.29 cnf(14258,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x142581),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(14261,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x142611,a900)),x142612),x142612))), % 166.52/166.29 inference(rename_variables,[],[3709])). % 166.52/166.29 cnf(14264,plain, % 166.52/166.29 (P1(f329(f329(f331(x142641),f329(x142642,x142643)),f329(f312(x142644,x142641,x142642),f247(f913(x142644,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(14273,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x142731),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(14278,plain, % 166.52/166.29 (E(f329(x142781,f329(f94(x142782,x142783,f247(f913(x142782,a900)),x142781),f329(x142781,x142784))),f329(x142781,x142784))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14283,plain, % 166.52/166.29 (P1(f329(f329(f331(f912(x142831,x142831)),f329(f329(f257(x142831,x142831),x142832),x142832)),f309(x142831,x142833)))), % 166.52/166.29 inference(rename_variables,[],[4050])). % 166.52/166.29 cnf(14286,plain, % 166.52/166.29 (P1(f329(f329(f331(x142861),f329(x142862,x142863)),f329(f312(x142864,x142861,x142862),f247(f913(x142864,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(14307,plain, % 166.52/166.29 (~E(f329(a117,x143071),f2(a905))), % 166.52/166.29 inference(rename_variables,[],[4581])). % 166.52/166.29 cnf(14310,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x143101,x143101)),x143102),f268(x143101,f191(f913(x143101,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(14315,plain, % 166.52/166.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x143151),f80(a1))),x143151))), % 166.52/166.29 inference(rename_variables,[],[10929])). % 166.52/166.29 cnf(14329,plain, % 166.52/166.29 (E(f329(f287(x143291,x143291),f268(x143291,x143292)),x143292)), % 166.52/166.29 inference(rename_variables,[],[3374])). % 166.52/166.29 cnf(14334,plain, % 166.52/166.29 (~P1(f329(f329(f331(x143341),x143342),f191(f913(x143341,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(14345,plain, % 166.52/166.29 (~P1(f329(f329(f331(x143451),x143452),f329(f313(x143451,x143453,x143454),f191(f913(x143453,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11116])). % 166.52/166.29 cnf(14351,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),f2(a905)),x143511))), % 166.52/166.29 inference(rename_variables,[],[3435])). % 166.52/166.29 cnf(14354,plain, % 166.52/166.29 (P1(f329(f329(f331(x143541),f329(x143542,x143543)),f329(f312(x143544,x143541,x143542),f247(f913(x143544,a900)))))), % 166.52/166.29 inference(rename_variables,[],[4017])). % 166.52/166.29 cnf(14373,plain, % 166.52/166.29 (P1(f329(f329(f239(a905),x143731),f329(f329(f82(a905),x143731),x143732)))), % 166.52/166.29 inference(rename_variables,[],[3676])). % 166.52/166.29 cnf(14380,plain, % 166.52/166.29 (E(f329(x143801,f329(f94(x143802,x143803,f247(f913(x143802,a900)),x143801),f329(x143801,x143804))),f329(x143801,x143804))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14391,plain, % 166.52/166.29 (~P1(f329(f329(f331(a905),x143911),f329(f285(a905),f2(a905))))), % 166.52/166.29 inference(rename_variables,[],[11960])). % 166.52/166.29 cnf(14402,plain, % 166.52/166.29 (~E(f329(f329(f154(x144021),x144022),x144023),x144023)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14416,plain, % 166.52/166.29 (P1(f329(f329(f239(f913(x144161,a900)),f329(f175(x144161),f179(x144161,x144162,x144163))),f329(f175(x144161),x144162)))), % 166.52/166.29 inference(rename_variables,[],[4108])). % 166.52/166.29 cnf(14422,plain, % 166.52/166.29 (E(f329(x144221,f329(f94(x144222,x144223,f247(f913(x144222,a900)),x144221),f329(x144221,x144224))),f329(x144221,x144224))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14435,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x144351,x144351)),x144352),f268(x144351,f191(f913(x144351,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(14446,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x144461,x144461)),x144462),f268(x144461,f191(f913(x144461,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(14449,plain, % 166.52/166.29 (~P1(f329(f329(f331(x144491),x144492),f329(f312(x144493,x144491,x144494),f191(f913(x144493,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11346])). % 166.52/166.29 cnf(14502,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(x145021,x145021)),x145022),f268(x145021,f191(f913(x145021,a900)))))), % 166.52/166.29 inference(rename_variables,[],[11113])). % 166.52/166.29 cnf(14516,plain, % 166.52/166.29 (~E(f329(f329(f154(x145161),x145162),x145163),x145163)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14525,plain, % 166.52/166.29 (~E(f329(f329(f154(x145251),x145252),x145253),x145253)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14528,plain, % 166.52/166.29 (~E(f329(f329(f311(x145281),x145282),x145283),f191(f913(x145281,a900)))), % 166.52/166.29 inference(rename_variables,[],[4619])). % 166.52/166.29 cnf(14542,plain, % 166.52/166.29 (~E(f329(f329(f154(x145421),x145422),x145423),x145423)), % 166.52/166.29 inference(rename_variables,[],[4594])). % 166.52/166.29 cnf(14565,plain, % 166.52/166.29 (~P1(f329(f329(f331(x145651),x145652),f191(f913(x145651,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(14573,plain, % 166.52/166.29 (E(f329(x145731,f329(f94(x145732,x145733,f247(f913(x145732,a900)),x145731),f329(x145731,x145734))),f329(x145731,x145734))), % 166.52/166.29 inference(rename_variables,[],[11251])). % 166.52/166.29 cnf(14582,plain, % 166.52/166.29 (~P1(f329(f329(f331(x145821),x145822),f191(f913(x145821,a900))))), % 166.52/166.29 inference(rename_variables,[],[4643])). % 166.52/166.29 cnf(14612,plain, % 166.52/166.29 (~P1(f329(f329(f331(f912(f906(x146121),f906(x146121))),f329(f329(f257(f906(x146121),f906(x146121)),x146122),f118(x146121))),f148(x146121,x146123)))), % 166.52/166.29 inference(rename_variables,[],[4659])). % 166.52/166.29 cnf(14629,plain, % 166.52/166.29 ($false), % 166.52/166.29 inference(scs_inference,[],[3442,3853,3443,4192,3999,3206,4656,4622,3417,3394,4659,14612,4631,4050,14283,3490,4624,3507,3866,4017,14144,14167,14264,14286,14354,4643,13633,13714,13799,13837,13888,13961,13988,14123,14334,14565,14582,4108,13704,13830,13894,14022,14088,14112,14416,3514,3894,3713,14047,4584,4581,13933,13944,14307,4594,13701,13938,13973,14060,14238,14402,14516,14525,14542,4619,14528,3397,3494,4185,4059,3413,3414,13755,13813,14028,3871,13861,3435,13612,13638,14351,3725,3861,13696,3709,13646,14019,14261,3863,13665,3677,13622,13765,13913,14181,3676,13746,14033,14131,14373,4288,14085,3864,3374,13823,14193,14329,3345,13858,3369,13628,4660,14173,4661,4663,14098,4630,13687,13941,13954,14057,4640,4653,13625,13662,13785,14006,14054,4652,4657,13850,4654,4655,13693,13725,3617,3392,11708,14164,14235,10466,14025,13279,10520,12897,12021,12661,11518,13454,13364,12426,10774,14115,12067,12938,13366,10762,12951,11246,12663,12692,12699,11103,13378,11357,11064,10929,13690,13717,13879,13891,14315,11962,3780,11056,11098,11427,12651,11382,11251,13899,13920,13991,14186,14278,14380,14422,14573,10442,13202,11100,10571,11476,10869,3446,3359,11315,11409,11156,13190,13193,13468,10874,13484,11852,12369,12358,12467,10427,12953,11958,11960,13615,13681,14095,14109,14258,14273,14391,13522,10882,11113,13643,13711,13758,13846,13868,14003,14310,14435,14446,14502,12277,11116,13684,13908,14345,11346,13949,14449,11460,11430,10864,14178,14249,10971,12215,12218,12717,11529,11365,14065,12625,11388,13657,11131,11392,13722,12303,11355,13496,3072,11767,3472,13980,3967,9,5786,5585,5858,9742,9832,5929,9723,6867,4997,5796,5984,6860,6155,6424,5157,10279,9629,5749,6176,6478,9143,9431,5804,5908,6422,5358,9713,6650,6072,6886,7017,8041,8605,5521,5852,5227,9249,5286,5419,8545,8402,5927,9649,9174,5715,8672,9455,6342,5800,8674,9063,8812,5013,5347,6690,6916,6430,5433,9889,6128,6250,8604,9587,5963,7208,7267,7481,5483,7180,6419,6887,9247,4998,8073,9175,5904,7746,9611,10075,6481,6398,8172,6915,5856,5705,8929,9207,5420,8188,7764,5464,7066,5883,5863,7944,7956,8694,8934,9911,2,6024,6244,9049,5163,6591,4971,8403,9833,7503,7981,5341,5689,5919,6195,6839,6888,9586,6535,8648,5845,4805,5789,9724,6841,6999,8740,6995,5450,6355,4753,5997,8375,5323,7284,5677,6689,4800,7614,8752,5432,8608,5513,5899,6173,6526,8704,6473,6592,6600,7823,7542,9449,5885,7096,5087,8607,9971,4751,8737,7902,8510,6172,9936,5850,8356,9245,9549,8,5402,8108,8780,4801,5440,6042,6220,5639,7292,5671,6293,5414,5451,6470,6558,8502,9358,4697,6300,9297,6018,6215,6381,9482,5795,6304,7483,7658,7893,8504,8886,5324,8930,9544,8870,6190,5300,8673,9216,8720,6221,6022,5577,9780,6246,5334,6217,6026,9024,5670,8671,4948,9427,5455,7811,6743,9722,6557,5350,5465,6365,8600,8747,9065,9887,7861,6340,8155,6245,4752,5640,6474,8665,8332,5389,6357,7573,9787,5216,6435,5086,9064,6646,5808,8829,9655,5503,8868,6490,10063,5717,5589,6069,6391,7548,8919,10066,8887,6890,8910,9423,7891,5782,6580,8666,9843,4718,8595,4807,6766,8582,9052,5412,6192,7838,6034,7053,7659,9407,8500,9018,6479,5611,5935,5701,5718,5088,6982,8189,8781,10096,5148,5750,6632,4850,7889,8763,6353,7617,9667,5327,8675,6023,10076,9032,7459,5842,7448,5333,5027,8633,8967,6930,8735,6284,6373,6285,5035,5162,5446,5847,5065,6196,8956,7532,4757,6006,6083,5285,9975,10280,9744,5403,9246,5659,8606,8647,8825,5438,5452,5561,6882,9454,5658,6904,7358,7461,6847,8009,5328,5920,6212,6477,7434,8173,5217,10359,8264,7460,5841,6211,8693,8739,9217,5797,4885,5155,6045,6290,9380,8955,5418,6389,6578,7295,9369,9786,4879,9370,7563,5064,8609,8760,5866,5136,5687,8580,8847,9191,4755,5761,5547,10193,6810,10064,4809,5517,6248,7263,10101,7061,5355,7477,8731,6469,5415,4785]), % 166.52/166.29 ['proof']). % 166.52/166.29 % SZS output end Proof % 166.52/166.29 % Total time :151.960000s %------------------------------------------------------------------------------